title: Effective slippage on superhydrophobic trapezoidal grooves

abstract:
  We study the effective slippage on superhydrophobic grooves with trapezoidal
cross-sections of various geometries (including the limiting cases of triangles
and rectangular stripes), by using two complementary approaches. First,
dissipative particle dynamics (DPD) simulations of a flow past such surfaces
have been performed to validate an expression [E.S.Asmolov and O.I.Vinogradova,
J. Fluid Mech. \textbf{706}, 108 (2012)] that relates the eigenvalues of the
effective slip-length tensor for one-dimensional textures. Second, we propose
theoretical estimates for the effective slip length and calculate it
numerically by solving the Stokes equation based on a collocation method. The
comparison between the two approaches shows that they are in excellent
agreement. Our results demonstrate that the effective slippage depends strongly
on the area-averaged slip, the amplitude of the roughness, and on the fraction
of solid in contact with the liquid. To interpret these results, we analyze
flow singularities near slipping heterogeneities, and demonstrate that they
inhibit the effective slip and enhance the anisotropy of the flow. Finally, we
propose some guidelines to design optimal one-dimensional superhydrophobic
surfaces, motivated by potential applications in microfluidics.


title: Model Reduction Near Periodic Orbits of Hybrid Dynamical Systems

abstract:
  We show that, near periodic orbits, a class of hybrid models can be reduced
to or approximated by smooth continuous-time dynamical systems. Specifically,
near an exponentially stable periodic orbit undergoing isolated transitions in
a hybrid dynamical system, nearby executions generically contract
superexponentially to a constant-dimensional subsystem. Under a non-degeneracy
condition on the rank deficiency of the associated Poincare map, the
contraction occurs in finite time regardless of the stability properties of the
orbit. Hybrid transitions may be removed from the resulting subsystem via a
topological quotient that admits a smooth structure to yield an equivalent
smooth dynamical system. We demonstrate reduction of a high-dimensional
underactuated mechanical model for terrestrial locomotion, assess structural
stability of deadbeat controllers for rhythmic locomotion and manipulation, and
derive a normal form for the stability basin of a hybrid oscillator. These
applications illustrate the utility of our theoretical results for synthesis
and analysis of feedback control laws for rhythmic hybrid behavior.


title:
On the elimination of infinitesimal Gribov ambiguities in non-Abelian
  gauge theories

abstract:
  An alternative method to account for the Gribov ambiguities in gauge theories
is presented. It is shown that, to eliminate Gribov ambiguities, at
infinitesimal level, it is required to break the BRST symmetry in a soft
manner. This can be done by introducing a suitable extra constraint that
eliminates the infinitesimal Gribov copies. It is shown that the present
approach is consistent with the well established known cases in the literature,
i.e., the Landau and maximal Abelian gauges. The method is valid for gauges
depending exclusively on the gauge field and is restricted to classical level.
However, occasionally, we deal with quantum aspects of the technique, which are
used to improve the results.


title: DIGIT survey of far-infrared lines from protoplanetary discs: II. CO

abstract:
  CO is an important component of a protoplanetary disc as it is one of the
most abundant gas phase species. Furthermore, observations of the CO
transitions can be used as a diagnostic of the gas, tracing conditions in both
the inner and outer disc. We present Herschel/PACS spectroscopy of a sample of
22 Herbig Ae/Be (HAEBEs) and 8 T Tauri stars (TTS), covering the pure
rotational CO transitions from J = 14-13 up to J = 49-48. CO is detected in
only 5 HAEBEs, AB Aur, HD 36112, HD 97048, HD 100546 and IRS 48, and in 4 TTS,
AS 205, S CrA, RU Lup, and DG Tau. The highest transition seen is J = 36-35,
with Eup of 3669 K, detected in HD 100546 and DG Tau. We construct rotational
diagrams for the discs with at least 3 CO detections to derive Trot, and find
average temperatures of 270 K for the HAEBEs and 485 K for the TTS. HD 100546
requires an extra temperature component with Trot ~ 900-1000 K, suggesting a
range of temperatures in its disc atmosphere, consistent with thermo-chemical
disc models. In HAEBEs, the objects with CO detections all have flared discs in
which the gas and dust are thermally decoupled. We use a small model grid to
analyse our observations and find that an increased amount of flaring means
higher line flux, as it increases the mass in warm gas. CO is not detected in
our flat discs as the emission is below the detection limit. We find that HAEBE
sources with CO detections have high Luv and strong PAH emission, again
connected to the heating of the gas. In TTS, the objects with CO detections are
all sources with evidence for a disc wind or outflow. For both groups of
objects, sources with CO detections generally have high UV luminosity (either
stellar in HAEBEs or due to accretion in TTS), but this is not a sufficient
condition for the detection of the far-IR CO lines.


title:
Natural transformations associated with a locally compact group and
  universality of the global Terrell law

abstract:
  Via the construction of a functor from $\mathsf{C}_{u}(H)$ to an auxiliary
category we associate, with any triplet $(G,F,\rho)$, two natural
transformations, $\mathfrak{m}_{\star}$ morphism of
$\mathsf{Fct}(\mathsf{C}_{u}(H)^{op},\mathsf{Fct}(H,\mathsf{set}))$ and
$\mathfrak{v}_{\natural}$ morphism of
$\mathsf{Fct}(\mathsf{C}_{u}^{0}(H)^{op},\mathsf{Fct}(H,\mathsf{set}))$. $G$
and $F$ are locally compact groups, $\rho:F\to Aut(G)$ is a continuous
morphism, $H$ is the external topological semidirect product of $G$ and $F$
relative to $\rho$, $\mathsf{C}_{u}^{0}(H)$ is a subcategory of
$\mathsf{C}_{u}(H)$ a subcategory of the category of $C^{\ast}-$dynamical
systems with symmetry group $H$ and equivariant morphisms. For $\mathfrak{A}$
in $\mathsf{C}_{u}^{0}(H)$ to assemble $\mathfrak{m}_{\star}^{\mathfrak{A}}$ we
exploit the Connes characters generated by JLO cocycles $\Phi$ on the
unitization of certain $C^{\ast}-$crossed products relative to $\mathfrak{A}$,
while to construct $\mathfrak{v}_{\natural}^{\mathfrak{A}}$ we exert the states
of the $C^{\ast}-$algebra underlying $\mathfrak{A}$ associated in a convenient
manner with the $0-$dimensional components of the $\Phi$'s. Being
$\mathsf{C}_{u}(H)$ the category of fissioning systems, we use
$\mathfrak{m}_{\star}^{\mathfrak{A}}$ and
$\mathfrak{v}_{\natural}^{\mathfrak{A}}$ to define the nucleon phases and the
fragment states resulting next the fission processes of the fissioning system
$\mathfrak{A}$ occur. We apply the naturality of $\mathfrak{m}_{\star}$ and
$\mathfrak{v}_{\natural}$ to establish the universality of the global nucleon
masses and the global Terrell law, stated as invariance of the light and heavy
nucleon core masses and invariance of the prompt-neutron yield under
controvariant action of $\mathsf{C}_{u}^{0}(H)$ and under action of $H$ over
the field of fission processes.


title:
Optimal control theory for quantum-classical systems: Ehrenfest
  Molecular Dynamics based on time-dependent density-functional theory

abstract:
  We derive the fundamental equations of an optimal control theory for systems
containing both quantum electrons and classical ions. The system is modeled
with Ehrenfest dynamics, a non-adiabatic variant of molecular dynamics. The
general formulation, that needs the fully correlated many-electron wave
function, can be simplified by making use of time-dependent density-functional
theory. In this case, the optimal control equations require some modifications
that we will provide. The abstract general formulation is complemented with the
simple example of the H$_2^+$ molecule in the presence of a laser field.


title: Geoneutrino and Hydridic Earth model. Version 2

abstract:
  Uranium, Thorium and Potassium-40 abundances in the Earth were calculated in
the frame of Hydridic Earth model. Terrestrial heat producton from U, Th and
K40 decays was calculated also. We must admit the existance of Earth expansion
process to understand the obtained large value of terrestrial heat producton.
The geoneutrino detector with volume more than 5 kT (LENA type) must be
constructed to definitely separate between Bulk Silicat Earth model and
Hydridic Earth model. In second version of the article we assume that K40
concentration distributes in the Earth uniformly.


title:
DESI and other dark energy experiments in the era of neutrino mass
  measurements

abstract:
  We present Fisher matrix projections for future cosmological parameter
measurements, including neutrino masses, dark energy, curvature, modified
gravity, the inflationary perturbation spectrum, non-Gaussianity, and dark
radiation. We focus on DESI and generally redshift surveys (BOSS, HETDEX,
eBOSS, Euclid, and WFIRST), but also include CMB (Planck) and weak
gravitational lensing (DES and LSST) constraints. The goal is to present a
consistent set of projections, for concrete experiments, which are otherwise
scattered throughout many papers and proposals. We include neutrino mass as a
free parameter in most projections, as it will inevitably be relevant -- DESI
and other experiments can measure the sum of neutrino masses to ~0.02 eV or
better, while the minimum possible sum is ~0.06 eV. We note that the BAO-only
use of galaxy clustering is substantially degraded as a dark energy probe in
the presence of neutrino mass uncertainty -- using broadband galaxy power is
critical, especially pushing it to as small a scale as possible, and big gains
are achieved by combining lensing survey constraints with redshift survey
constraints. We do not try to be especially innovative, e.g., in careful
treatments of potential systematic errors -- these projections are intended as
a straightforward baseline for comparison to more detailed analyses.


title:
Far-infrared Fine-Structure Line Diagnostics of Ultraluminous Infrared
  Galaxies

abstract:
  We present Herschel observations of six fine-structure lines in 25
Ultraluminous Infrared Galaxies at z<0.27. The lines, [O III]52, [N III]57, [O
I]63, [N II]122, [O I]145, and [C II]158, are mostly single gaussians with
widths <600 km s-1 and luminosities of 10^7 - 10^9 Solar. There are deficits in
the [O I]63/L_IR, [N II]/L_IR, [O I]145/L_IR, and [C II]/L_IR ratios compared
to lower luminosity systems. The majority of the line deficits are consistent
with dustier H II regions, but part of the [C II] deficit may arise from an
additional mechanism, plausibly charged dust grains. This is consistent with
some of the [C II] originating from PDRs or the ISM. We derive relations
between far-IR line luminosities and both IR luminosity and star formation
rate. We find that [N II] and both [O I] lines are good tracers of IR
luminosity and star formation rate. In contrast, [C II] is a poor tracer of IR
luminosity and star formation rate, and does not improve as a tracer of either
quantity if the [C II] deficit is accounted for. The continuum luminosity
densities also correlate with IR luminosity and star formation rate. We derive
ranges for the gas density and ultraviolet radiation intensity of 10^1 < n <
10^2.5 and 10^2.2 < G_0 < 10^3.6, respectively. These ranges depend on optical
type, the importance of star formation, and merger stage. We do not find
relationships between far-IR line properties and several other parameters; AGN
activity, merger stage, mid-IR excitation, and SMBH mass. We conclude that
these far-IR lines arise from gas heated by starlight, and that they are not
strongly influenced by AGN activity.


title:
Patience-aware Scheduling for Cloud Services: Freeing Users from the
  Chains of Boredom

abstract:
  Scheduling of service requests in Cloud computing has traditionally focused
on the reduction of pre-service wait, generally termed as waiting time. Under
certain conditions such as peak load, however, it is not always possible to
give reasonable response times to all users. This work explores the fact that
different users may have their own levels of tolerance or patience with
response delays. We introduce scheduling strategies that produce better
assignment plans by prioritising requests from users who expect to receive the
results earlier and by postponing servicing jobs from those who are more
tolerant to response delays. Our analytical results show that the behaviour of
users' patience plays a key role in the evaluation of scheduling techniques,
and our computational evaluation demonstrates that, under peak load, the new
algorithms typically provide better user experience than the traditional FIFO
strategy.


title:
G10.472+0.027: An Extreme water maser outflow associated with a Massive
  Protostellar Cluster

abstract:
  An Australia Telescope Compact Array search for 22 GHz water masers towards
6.7 GHz class II methanol masers detected in the Methanol Multibeam (MMB)
survey has resulted in the detection of extremely high velocity emission from
one of the sources. The water maser emission associated with this young stellar
object covers a velocity span of nearly 300 km/s. The highest velocity water
maser emission is red-shifted from the systemic velocity by 250 km/s, which is
a new record for high-mass star formation regions. The maser is associated with
a very young late O, or early B star, which may still be actively accreting
matter (and driving the extreme outflow). If that is the case future
observations of the kinematics of this water maser will provide a unique probe
of accretion processes in the highest mass young stellar objects and test
models of water maser formation.


title:
Non-universal gaugino masses and fine tuning implications for SUSY
  searches in the MSSM and the GNMSSM

abstract:
  For the case of the MSSM and the most general form of the NMSSM (GNMSSM) we
determine the reduction in the fine tuning that follows from allowing gaugino
masses to be non-degenerate at the unification scale, taking account of the
LHC8 bounds on SUSY masses, the Higgs mass bound, gauge coupling unification
and the requirement of an acceptable dark matter density. We show that low-fine
tuned points fall in the region of gaugino mass ratios predicted by specific
unified and string models. For the case of the MSSM the minimum fine tuning is
still large, approximately 1:60 allowing for a 3 GeV uncertainty in the Higgs
mass (1:500 for the central value), but for the GNMSSM it is below 1:20. We
find that the spectrum of SUSY states corresponding to the low-fine tuned
points in the GNMSSM is often compressed, weakening the LHC bounds on coloured
states. The prospect for testing the remaining low-fine-tuned regions at LHC14
is discussed.


title:
Ultra-low Energy, High Performance and Programmable Magnetic Threshold
  Logic

abstract:
  We propose magnetic threshold-logic (MTL) design based on non-volatile
spin-torque switches. A threshold logic gate (TLG) performs summation of
multiple inputs multiplied by a fixed set of weights and compares the sum with
a threshold. MTL employs resistive states of magnetic tunnel junctions as
programmable input weights, while, a low-voltage domain-wall shift based
spin-torque switch is used for thresholding operation. The resulting MTL gate
acts as a low-power, configurable logic unit and can be used to build fully
pipelined, high-performance programmable computing blocks. Multiple stages in
such a MTL design can be connected using energy-efficient ultralow swing
programmable interconnect networks based on resistive switches. Owing to
memory-based compact logic and interconnect design and low-voltage, high-speed
spintorque based threshold operation, MTL can achieve more than two orders of
magnitude improvement in energy-delay product as compared to look-up table
based CMOS FPGA.


title: Bounds on the Bondi Energy by a Flux of Curvature

abstract:
  We consider smooth null cones in a vacuum spacetime that extend to future
null infinity. For such cones that are perturbations of shear-free outgoing
null cones in Schwarzschild spacetimes, we prove bounds for the Bondi energy,
momentum, and rate of energy loss. The bounds depend on the closeness between
the given cone and a corresponding cone in a Schwarzschild spacetime, measured
purely in terms of the differences between certain weighted $L^2$-norms of the
space-time curvature on the cones, and of the geometries of the spheres from
which they emanate. A key step in this paper is the construction of a family of
asymptotically round cuts of our cone, relative to which the Bondi energy is
measured.


title:
Towards an Effective Decision Procedure for LTL formulas with
  Constraints

abstract:
  This paper presents an ongoing work that is part of a more wide-ranging
project whose final scope is to define a method to validate LTL formulas w.r.t.
a program written in the timed concurrent constraint language tccp, which is a
logic concurrent constraint language based on the concurrent constraint
paradigm of Saraswat. Some inherent notions to tccp processes are
non-determinism, dealing with partial information in states and the monotonic
evolution of the information. In order to check an LTL property for a process,
our approach is based on the abstract diagnosis technique. The concluding step
of this technique needs to check the validity of an LTL formula (with
constraints) in an effective way.
  In this paper, we present a decision method for the validity of temporal
logic formulas (with constraints) built by our abstract diagnosis technique.


title:
The torsion subgroup of the additive group of a Lie nilpotent
  associative ring of class 3

abstract:
  Let $\mathbb Z \langle X \rangle$ be the free unital associative ring freely
generated by an infinite countable set $X = \{ x_1,x_2, \dots \}$. Define a
left-normed commutator $[x_1,x_2, \dots, x_n]$ by $[a,b] = ab - ba$, $[a,b,c] =
[[a,b],c]$. For $n \ge 2$, let $T^{(n)}$ be the two-sided ideal in $\mathbb Z
\langle X \rangle$ generated by all commutators $[a_1,a_2, \dots, a_n]$ $( a_i
\in \mathbb Z \langle X \rangle )$. Let $T^{(3,2)}$ be the two-sided ideal of
the ring $\mathbb Z \langle X \rangle$ generated by all elements $[a_1, a_2,
a_3, a_4]$ and $[a_1, a_2] [a_3, a_4, a_5]$ $(a_i \in \mathbb Z \langle X
\rangle)$.
  It has been recently proved in arXiv:1204.2674 that the additive group of
$\mathbb Z \langle X \rangle / T^{(4)}$ is a direct sum $ A \oplus B$ where $A$
is a free abelian group isomorphic to the additive group of $\mathbb Z \langle
X \rangle / T^{(3,2)}$ and $B = T^{(3,2)} /T^{(4)}$ is an elementary abelian
$3$-group. A basis of the free abelian summand $A$ was described explicitly in
arXiv:1204.2674. The aim of the present article is to find a basis of the
elementary abelian $3$-group $B$.


title: Kondo resonance from vacancies in graphene

abstract:
  Using the slave-rotor mean-field theory, we study the formation of Kondo
resonance in graphene induced from vacancies. At the Dirac neutrality point, we
find acritical hybridization strength beyond which the Kondo resonance takes
place, despite vanishing density of states. We also find that the line-shapes
of the Kondo peak are entirely different from Lorentzian shown in normal
metallic hosts. The dependence of Kondo temperature on the effective
hybridization parameter of the spinon field turns out to be linear in contrast
to the quadratic dependence in normal metals. Upon doping we find strong
electron-hole asymmetry for the dependence of Kondo temperature on the chemical
potential.


title: Quantum-enhanced absorption refrigerators

abstract:
  Thermodynamics is a branch of science blessed by an unparalleled combination
of generality of scope and formal simplicity. Based on few natural assumptions
together with the four laws, it sets the boundaries between possible and
impossible in macroscopic aggregates of matter. This triggered groundbreaking
achievements in physics, chemistry and engineering over the last two centuries.
Close analogues of those fundamental laws are now being established at the
level of individual quantum systems, thus placing limits on the operation of
quantum-mechanical devices. Here we study quantum absorption refrigerators,
which are driven by heat rather than external work. We establish thermodynamic
performance bounds for these machines and investigate their quantum origin. We
also show how those bounds may be pushed beyond what is classically achievable,
by suitably tailoring the environmental fluctuations via quantum reservoir
engineering techniques. Such superefficient quantum-enhanced cooling realises a
promising step towards the technological exploitation of autonomous quantum
refrigerators.

categories: quant-ph cond-mat.stat-mech math-ph math.MP physics.optics


title: Maximal ideals and representations of twisted forms of algebras

abstract:
  Given a central simple algebra $\mathfrak{g}$ and a Galois extension of base
rings $S/R$, we show that the maximal ideals of twisted $S/R$-forms of the
algebra of currents $\mathfrak{g}(R)$ are in natural bijection with the maximal
ideals of $R$. When $\mathfrak{g}$ is a Lie algebra, we use this to give a
complete classification of the finite-dimensional simple modules over twisted
forms of $\mathfrak{g}(R)$.


title: Epistemic Restrictions in Hilbert Space Quantum Mechanics

abstract:
  A resolution of the quantum measurement problem(s) using the consistent
histories interpretation yields in a rather natural way a restriction on what
an observer can know about a quantum system, one that is also consistent with
some results in quantum information theory. This analysis provides a quantum
mechanical understanding of some recent work that shows that certain kinds of
quantum behavior are exhibited by a fully classical model if by hypothesis an
observer's knowledge of its state is appropriately limited.


title:
Supersymmetric Left-Right Model of Radiative Neutrino Mass with
  Multipartite Dark Matter

abstract:
  The unifiable supersymmetric left-right model where the neutral fermion $n$
in the $SU(2)_R$ doublet $(n,e)_R$ is a dark-matter candidate, is shown to have
the requisite particle content for the neutrino $\nu$ in the $SU(2)_L$ doublet
$(\nu,e)_L$ to acquire a small radiative Majorana mass from dark matter, i.e.
scotogenic from the Greek "scotos" meaning darkness. As a result, there are at
least three coexisting stable dark-matter particles with different
interactions. We study their possible phenomenological impact on present and
future experiments.


title:
The factor paradox: Common factors can be correlated with the variance
  not accounted for by the common factors!

abstract:
  The case that the factor model does not account for all the covariances of
the observed variables is considered. This is a quite realistic condition
because some model error as well as some sampling error should usually occur
with empirical data. It is shown that principal components representing
covariances not accounted for by the factors of the model can have a non-zero
correlation with the common factors of the factor model. Non-zero correlations
of components representing variance not accounted for by the factor model with
common factors were also found in a simulation study. Based on these results it
should be concluded that common factors can be correlated with variance
components representing model error as well as sampling error. In consequence,
even when researchers decide not to represent some small or trivial variance by
means of a common factor, these excluded variances can still be part of the
model.


title: Spirals and skyrmions in two dimensional oxide heterostructures

abstract:
  We construct the general free energy governing long-wavelength magnetism in
two-dimensional oxide heterostructures, which applies irrespective of the
microscopic mechanism for magnetism. This leads, in the relevant regime of weak
but non-negligible spin-orbit coupling, to a rich phase diagram containing
in-plane ferromagnetic, spiral, cone, and skyrmion lattice phases, as well as a
nematic state stabilized by thermal fluctuations. The general conclusions are
vetted by a microscopic derivation for a simple model with Rashba spin-orbit
coupling.


title: Scaling Exponent for Incremental Records

abstract:
  We investigate records in a growing sequence of identical and independently
distributed random variables. The record equals the largest value in the
sequence, and our focus is on the increment, defined as the difference between
two successive records. We investigate sequences in which all increments
decrease monotonically, and find that the fraction I_N of sequences that
exhibit this property decays algebraically with sequence length N, namely I_N ~
N^{-nu} as N --> infinity. We analyze the case where the random variables are
drawn from a uniform distribution with compact support, and obtain the exponent
nu = 0.317621... using analytic methods. We also study the record distribution
and the increment distribution. Whereas the former is a narrow distribution
with an exponential tail, the latter is broad and has a power-law tail
characterized by the exponent nu. Empirical analysis of records in the sequence
of waiting times between successive earthquakes is consistent with the
theoretical results.

categories: cond-mat.stat-mech math.PR math.ST stat.TH


title: The Origin of HVS17, an Unbound Main Sequence B Star at 50 kpc

abstract:
  We analyze Keck ESI spectroscopy of HVS17, a B-type star traveling with a
Galactic rest frame radial velocity of +445 km/s in the outer halo of the Milky
Way. HVS17 has the projected rotation of a main sequence B star and is
chemically peculiar, with solar iron abundance and sub-solar alpha abundance.
Comparing measured T_eff and logg with stellar evolution tracks implies that
HVS17 is a 3.91 +-0.09 Msun, 153 +-9 Myr old star at a Galactocentric distance
of r=48.5 +-4.6 kpc. The time between its formation and ejection significantly
exceeds 10 Myr and thus is difficult to reconcile with any Galactic disk
runaway scenario involving massive stars. The observations are consistent, on
the other hand, with a hypervelocity star ejection from the Galactic center. We
show that Gaia proper motion measurements will easily discriminate between a
disk and Galactic center origin, thus allowing us to use HVS17 as a test
particle to probe the shape of the Milky Way's dark matter halo.


title: Local cohomology modules supported at determinantal ideals

abstract:
  We provide new results on the vanishing of local cohomology modules supported
at ideals of minors of matrices over arbitrary commutative Noetherian rings. In
the process, we compute the local cohomology of rings of polynomials with
integer coefficients---supported at generic determinantal ideals---and also
obtain results on F-modules and D-modules that are likely to be of independent
interest.


title:
Hausdorff dimension of the level sets of some stochastic PDEs from fluid
  dynamics

abstract:
  We determine with positive probability the Hausdorff dimension of the level
sets of a class of Navier-Stokes \alpha-models at finite viscosity, forced by
mildly rough Gaussian white noise.


title: Detection of Exomoons Through Observation of Radio Emissions

abstract:
  In the Jupiter-Io system, the moon's motion produces currents along the field
lines that connect it to Jupiter's polar regions. The currents generate, and
modulate radio emissions along their paths via the electron-cyclotron maser
instability. Based on this process, we suggest that such modulation of
planetary radio emissions may reveal the presence of exomoons around giant
planets in exoplanetary systems. A model explaining the modulation mechanism in
the Jupiter-Io system is extrapolated, and used to define criteria for exomoon
detectability. A cautiously optimistic scenario of possible detection of such
exomoons around Epsilon Eridani b, and Gliese 876 b is provided.


title: Quantum Algebras Associated to Irreducible Generalized Flag Manifolds

abstract:
  The first part of this thesis deals with certain properties of the quantum
symmetric and exterior algebras of Type 1 representations of $U_q(g)$ defined
by Berenstein and Zwicknagl. We define a notion of a commutative algebra object
in a coboundary category, and we prove that the quantum symmetric algebra of a
module is the universal commutative algebra generated by that module. That is,
the functor assigning to a module its quantum symmetric algebra is left adjoint
to a forgetful functor. We also prove a conjecture of Berenstein and Zwicknagl,
stating that the quantum symmetric and exterior cubes exhibit the same amount
of "collapsing" relative to their classical counterparts. We prove that those
quantum exterior algebras that are flat deformations of their classical
analogues are Frobenius algebras. We also develop a rigorous framework for
discussing continuity and limits of the structures involved as the deformation
parameter q varies along the positive real line.
  The second part deals with quantum analogues of Clifford algebras and their
application to the noncommutative geometry of certain quantum homogeneous
spaces. We introduce the quantum Clifford algebra through its spinor
representation via creation and annihilation operators on one of the flat
quantum exterior algebras discussed in the first part. The proof that the
spinor representation is irreducible relies on the Frobenius property discussed
previously. We use this quantum Clifford algebra to revisit Krahmer's
construction of a Dolbeault-Dirac-type operator on a quantized irreducible flag
manifold. This operator is of the form $d+d^*$, and we relate $d$ to the
boundary operator for the Koszul complex of a certain quantum symmetric
algebra, which shows that $d^2=0$. This is a first step toward a
Parthasarathy-type formula for the spectrum of the square of the Dirac
operator.


title: A 2-chain can interlock with an open 10-chain

abstract:
  It is an open problem, posed in \cite{SoCG}, to determine the minimal $k$
such that an open flexible $k$-chain can interlock with a flexible 2-chain. It
was first established in \cite{GLOSZ} that there is an open 16-chain in a
trapezoid frame that achieves interlocking. This was subsequently improved in
\cite{GLOZ} to establish interlocking between a 2-chain and an open 11-chain.
Here we improve that result once more, establishing interlocking between a
2-chain and a 10-chain. We present arguments that indicate that 10 is likely
the minimum.


title:
5-Methylation of Cytosine in CG:CG Base-Pair Steps: A Physicochemical
  Mechanism for the Epigenetic Control of DNA Nanomechanics

abstract:
  Van der Waals density functional theory is integrated with analysis of a
non-redundant set of protein-DNA crystal structures from the Nucleic Acid
Database to study the stacking energetics of CG:CG base-pair steps,
specifically the role of cytosine 5-methylation. Principal component analysis
of the steps reveals the dominant collective motions to correspond to a tensile
'opening' mode and two shear 'sliding' and 'tearing' modes in the orthogonal
plane. The stacking interactions of the methyl groups globally inhibit CG:CG
step overtwisting while simultaneously softening the modes locally via
potential energy modulations that create metastable states. Additionally, the
indirect effects of the methyl groups on possible base-pair steps neighboring
CG:CG are observed to be of comparable importance to their direct effects on
CG:CG. The results have implications for the epigenetic control of DNA
mechanics.


title: Representations of twisted current algebras

abstract:
  We use evaluation representations to give a complete classification of the
finite-dimensional simple modules of twisted current algebras. This generalizes
and unifies recent work on multiloop algebras, current algebras, equivariant
map algebras, and twisted forms.


title: Seeing What You're Told: Sentence-Guided Activity Recognition In Video

abstract:
  We present a system that demonstrates how the compositional structure of
events, in concert with the compositional structure of language, can interplay
with the underlying focusing mechanisms in video action recognition, thereby
providing a medium, not only for top-down and bottom-up integration, but also
for multi-modal integration between vision and language. We show how the roles
played by participants (nouns), their characteristics (adjectives), the actions
performed (verbs), the manner of such actions (adverbs), and changing spatial
relations between participants (prepositions) in the form of whole sentential
descriptions mediated by a grammar, guides the activity-recognition process.
Further, the utility and expressiveness of our framework is demonstrated by
performing three separate tasks in the domain of multi-activity videos:
sentence-guided focus of attention, generation of sentential descriptions of
video, and query-based video search, simply by leveraging the framework in
different manners.


title:
The Spitzer mid-infrared AGN survey. I - optical and near-infrared
  spectroscopy of candidate obscured and normal AGN selected in the
  mid-infrared

abstract:
  We present the results of a program of optical and near-infrared
spectroscopic follow-up of candidate Active Galactic Nuclei (AGN) selected in
the mid-infrared. This survey selects both normal and obscured AGN closely
matched in luminosity across a wide range, from Seyfert galaxies with
bolometric luminosities L_bol~10^10L_sun, to highly luminous quasars
(L_bol~10^14L_sun), and with redshifts from 0-4.3. Samples of candidate AGN
were selected through mid-infrared color cuts at several different 24 micron
flux density limits to ensure a range of luminosities at a given redshift. The
survey consists of 786 candidate AGN and quasars, of which 672 have
spectroscopic redshifts and classifications. Of these, 137 (20%) are type-1 AGN
with blue continua, 294 (44%) are type-2 objects with extinctions A_V>~5
towards their AGN, 96 (14%) are AGN with lower extinctions (A_V~1) and 145
(22%) have redshifts, but no clear signs of AGN activity in their spectra. 50%
of the survey objects have L_bol >10^12L_sun, in the quasar regime. We present
composite spectra for type-2 quasars and for objects with no signs of AGN
activity in their spectra. We also discuss the mid-infrared - emission-line
luminosity correlation and present the results of cross-correlations with
serendipitous X-ray and radio sources. The results show that: (1) obscured
objects dominate the overall AGN population, (2) there exist mid-infrared
selected AGN candidates which lack AGN signatures in their optical spectra, but
have AGN-like X-ray or radio counterparts, and (3) X-ray and optical
classifications of obscured and unobscured AGN often differ.


title: Projected Subgradient Minimization versus Superiorization

abstract:
  The projected subgradient method for constrained minimization repeatedly
interlaces subgradient steps for the objective function with projections onto
the feasible region, which is the intersection of closed and convex constraints
sets, to regain feasibility. The latter poses a computational difficulty and,
therefore, the projected subgradient method is applicable only when the
feasible region is "simple to project onto". In contrast to this, in the
superiorization methodology a feasibility-seeking algorithm leads the overall
process and objective function steps are interlaced into it. This makes a
difference because the feasibility-seeking algorithm employs projections onto
the individual constraints sets and not onto the entire feasible region.
  We present the two approaches side-by-side and demonstrate their performance
on a problem of computerized tomography image reconstruction, posed as a
constrained minimization problem aiming at finding a constraint-compatible
solution that has a reduced value of the total variation of the reconstructed
image.


title: Incomplete Generalized Fibonacci and Lucas Polynomials

abstract:
  In this paper, we define the incomplete h(x)-Fibonacci and h(x)-Lucas
polynomials, we study recurrence relations and some properties of these
polynomials


title:
The Effects of Curvature and Expansion on Helium Detonations on White
  Dwarf Surfaces

abstract:
  Accreted helium layers on white dwarfs have been highlighted for many decades
as a possible site for a detonation triggered by a thermonuclear runaway. In
this paper, we find the minimum helium layer thickness that will sustain a
steady laterally propagating detonation and show that it depends on the density
and composition of the helium layer, specifically C12 and O16. Detonations in
these thin helium layers have speeds slower than the Chapman-Jouget (CJ) speed
from complete helium burning, v_cj=1.5e9 cm/s. Though gravitationally unbound,
the ashes still have unburned helium (~ 80% in the thinnest cases) and only
reach up to heavy elements such as Ca40, Ti44, Cr48, and Fe52. It is rare for
these thin shells to generate large amounts of Ni56. We also find a new set of
solutions that can propagate in even thinner helium layers when O16 is present
at a minimum mass fraction of ~0.07. Driven by energy release from alpha
captures on O16 and subsequent elements, these slow detonations only create
ashes up to Si28 in the outer detonated He shell. We close by discussing how
the unbound helium burning ashes may create faint and fast ".Ia" supernovae as
well as events with virtually no radioactivity, and speculate on how the slower
helium detonation velocities impact the off-center ignition of a carbon
detonation that could cause a Type Ia supernova in the double detonation
scenario.


title: Empirical Quantile CLTs For Some Self-Similar Processes

abstract:
  In a paper of Jason Swanson, a CLT for the sample median of independent
Brownian motions with value 0 at 0 was proved. Here we extend this result in
two ways. We prove such a result for a collection of self-similar processes
which include the fractional Brownian motions, all stationary, independent
increment symmetric stable processes tied down at 0 as well as iterated and
integrated Brownian motions. Second, our results hold uniformly over all
quantiles in a compact sub-interval of (0,1). We also examine sample function
properties connected with these CLTs.


title:
The Open Cluster Chemical Analysis and Mapping Survey: Local Galactic
  Metallicity Gradient with APOGEE using SDSS DR10

abstract:
  The Open Cluster Chemical Analysis and Mapping (OCCAM) Survey aims to produce
a comprehensive, uniform, infrared-based dataset for hundreds of open clusters,
and constrain key Galactic dynamical and chemical parameters from this sample.
This first contribution from the OCCAM survey presents analysis of 141 members
stars in 28 open clusters with high-resolution metallicities derived from a
large uniform sample collected as part of the SDSS-III/Apache Point Observatory
Galactic Evolution Experiment (APOGEE). This sample includes the first
high-resolution metallicity measurements for 22 open clusters. With this
largest ever uniformly observed sample of open cluster stars we investigate the
Galactic disk gradients of both [M/H] and [alpha/M]. We find basically no
gradient across this range in [alpha/M], but [M/H] does show a gradient for
R_{GC} < 10 kpc and a significant flattening beyond R_{GC} = 10 kpc. In
particular, whereas fitting a single linear trend yields an [M/H] gradient of
-0.09 +/- 0.03$ dex/kpc --- similar to previously measure gradients inside 13
kpc --- by independently fitting inside and outside 10 kpc separately we find a
significantly steeper gradient near the Sun (7.9 <= R_{GC} <= 10) than
previously found (-0.20 +/- 0.08 dex/kpc) and a nearly flat trend beyond 10 kpc
(-0.02 +/- 0.09 dex/kpc).


title: $L_p$ geominimal surface areas and their inequalities

abstract:
  In this paper, we introduce the $L_p$ geominimal surface area for all $-n\neq
p<1$, which extends the classical geominimal surface area ($p=1$) by Petty and
the $L_p$ geominimal surface area by Lutwak ($p>1$). Our extension of the $L_p$
geominimal surface area is motivated by recent work on the extension of the
$L_p$ affine surface area -- a fundamental object in (affine) convex geometry.
We prove some properties for the $L_p$ geominimal surface area and its related
inequalities, such as, the affine isoperimetric inequality and a Santal\'{o}
style inequality. Cyclic inequalities are established to obtain the
monotonicity of the $L_p$ geominimal surface areas. Comparison between the
$L_p$ geominimal surface area and the $p$-surface area is also provided.


title: List coloring the square of sparse graphs with large degree

abstract:
  We consider the problem of coloring the squares of graphs of bounded maximum
average degree, that is, the problem of coloring the vertices while ensuring
that two vertices that are adjacent or have a common neighbour receive
different colors.
  Borodin et al. proved in 2004 and 2008 that the squares of planar graphs of
girth at least seven and sufficiently large maximum degree $\Delta$ are list
$(\Delta+1)$-colorable, while the squares of some planar graphs of girth six
and arbitrarily large maximum degree are not. By Euler's Formula, planar graphs
of girth at least $6$ are of maximum average degree less than $3$, and planar
graphs of girth at least $7$ are of maximum average degree less than $14/5<3$.
  We strengthen their result and prove that there exists a function $f$ such
that the square of any graph with maximum average degree $m<3$ and maximum
degree $\Delta\geq f(m)$ is list $(\Delta+1)$-colorable. This bound of $3$ is
optimal in the sense that the above-mentioned planar graphs with girth $6$ have
maximum average degree less than $3$ and arbitrarily large maximum degree,
while their square cannot be $(\Delta+1)$-colored. The same holds for list
injective $\Delta$-coloring.


title:
Size of discs formed by wind accretion in binaries can be underestimated
  if the role of wind-driving force is ignored

abstract:
  Binary systems consisting of a secondary accreting form a wind-emitting
primary are ubiquitous in astrophysics. The phenomenology of such
Bondi-Hoyle-Lyttleton (BHL) accretors is particularly rich when an accretion
disc forms around the secondary. The outer radius of such discs is commonly
estimated from the net angular momentum produced by a density variation of
material across the BHL or Bondi accretion cylinder, as the latter is tilted
with respect to the direction to the primary due to orbital motion. But this
approach has ignored the fact that the wind experiences an outward driving
force that the secondary does not. In actuality, the accretion stream falls
toward a retarded point in the secondary's orbit as the secondary is pulled
toward the primary relative to the stream. The result is a finite separation or
"accretion stream impact parameter" (ASIP) separating the secondary and stream.
When the orbital radius a_o exceeds the BHL radius r_b, the ratio of outer disc
radius estimated as the ASIP to the conventional estimate
a_o^{1/2}/r_b^{1/2}>1. We therefore predict that discs will form at larger
radii from the secondary than traditional estimates. This agrees with the
importance of the ASIP emphasized by Huarte-Espinosa et al. (2013) and the
practical consequence that resolving the initial outer radius of such an
accretion disc in numerical simulations can be less demanding than what earlier
estimates would suggest.


title:
Prevalence of non-uniform hyperbolicity at the first bifurcation of
  H\'enon-like families

abstract:
  We consider the dynamics of strongly dissipative H\'enon-like maps in the
plane, around the first bifurcation parameter $a^*$ at which the uniform
hyperbolicity is destroyed by the formation of homoclinic or heteroclinic
tangencies inside the limit set. In [Takahasi H.: Commun. Math. Phys. {\bf 312}
37-85 (2012)], it was proved that $a^*$ is a full Lebesgue density point of the
set of parameters for which Lebesgue almost every initial point diverges to
infinity under forward iteration. For these parameters, we show that all
Lyapunov exponents of all invariant ergodic Borel probability measures are
uniformly bounded away from zero, uniformly over all the parameters.


title:
Towards Adapting ImageNet to Reality: Scalable Domain Adaptation with
  Implicit Low-rank Transformations

abstract:
  Images seen during test time are often not from the same distribution as
images used for learning. This problem, known as domain shift, occurs when
training classifiers from object-centric internet image databases and trying to
apply them directly to scene understanding tasks. The consequence is often
severe performance degradation and is one of the major barriers for the
application of classifiers in real-world systems. In this paper, we show how to
learn transform-based domain adaptation classifiers in a scalable manner. The
key idea is to exploit an implicit rank constraint, originated from a
max-margin domain adaptation formulation, to make optimization tractable.
Experiments show that the transformation between domains can be very
efficiently learned from data and easily applied to new categories. This begins
to bridge the gap between large-scale internet image collections and object
images captured in everyday life environments.


title:
Full-Diversity Space-Time Block Codes for Integer-Forcing Linear
  Receivers

abstract:
  In multiple-input multiple-output (MIMO) fading channels, the design
criterion for full-diversity space-time block codes (STBCs) is primarily
determined by the decoding method at the receiver. Although constructions of
STBCs have predominantly matched the maximum-likelihood (ML) decoder, design
criteria and constructions of full-diversity STBCs have also been reported for
low-complexity linear receivers. A new receiver architecture called
Integer-Forcing (IF) linear receiver has been proposed to MIMO channels by Zhan
et al. which showed promising results for the high-rate V-BLAST encoding
scheme. In this paper, we address the design of full-diversity STBCs for IF
linear receivers. In particular, we are interested in characterizing the
structure of STBCs that provide full-diversity with the IF receiver. Along that
direction, we derive an upper bound on the probability of decoding error, and
show that STBCs that satisfy the restricted non-vanishing singular value (RNVS)
property provide full-diversity for the IF receiver. Furthermore, we prove that
all known STBCs with the non-vanishing determinant property provide
full-diversity with IF receivers, as they guarantee the RNVS property. By using
the formulation of RNVS property, we also prove the existence of a
full-diversity STBC outside the class of perfect STBCs, thereby adding
significant insights compared to the existing works on STBCs with IF decoding.
Finally, we present extensive simulation results to demonstrate that linear
designs with RNVS property provide full-diversity for IF receiver.


title:
Maximal Surface Area of a convex set in $\R^n$ with respect to log
  concave rotation invariant measures

abstract:
  It was shown by K. Ball and F. Nazarov, that the maximal surface area of a
convex set in $\mathbb{R}^n$ with respect to the Standard Gaussian measure is
of order $n^{\frac{1}{4}}$. In the present paper we establish the analogous
result for all rotation invariant log concave probability measures. We show
that the maximal surface area with respect to such measures is of order
$\frac{\sqrt{n}}{\sqrt[4]{Var|X|} \sqrt{\mathbb{E}|X|}}$, where $X$ is a random
vector in $\mathbb{R}^n$ distributed with respect to the measure.


title: The gap distribution of slopes on the golden L

abstract:
  We give an explicit formula for the limiting gap distribution of slopes of
saddle connections on the golden L, or any translation surface in its SL(2,
R)-orbit, in particular the double pentagon. This is the first explicit
computation of the distribution of gaps for a flat surface that is not a torus
cover.


title: Assembly Bias of Dwarf-sized Dark Matter Haloes

abstract:
  Previous studies indicate that assembly bias effects are stronger for lower
mass dark matter haloes. Here we make use of high resolution re-simulations of
rich clusters and their surroundings from the Phoenix Project and a large
volume cosmological simulation, the Millennium-II run, to quantify assembly
bias effects on dwarf-sized dark matter haloes. We find that, in the regions
around massive clusters, dwarf-sized haloes ($[10^9,10^{11}]\ms$) form earlier
($\Delta z \sim 2$ in redshift) and possess larger $V_{\rm max}$ ($\sim20%$)
than the field galaxies. We find that this environmental dependence is largely
caused by tidal interactions between the ejected haloes and their former hosts,
while other large scale effects are less important. Finally we assess the
effects of assembly bias on dwarf galaxy formation with a sophisticated
semi-analytical galaxy formation model. We find that the dwarf galaxies near
massive clusters tend to be redder ($\Delta(u-r) = 0.5$) and have three times
as much stellar mass compared to the field galaxies with the same halo mass.
These features should be seen with observational data.


title:
Reynolds Number of Transition as a Dynamic Constraint on Statistical
  Theory of Turbulence

abstract:
  Iterative coarse-graining procedure based on Wyld's perturbation expansion is
applied to the problem of Navier-Stokes turbulence. It is shown that the
low-order calculation gives the fixed-point Reynolds number $ Re_{fp}$
(coupling constant) almost identical to the Reynolds number of the recently
discovered transition to anomalous scaling of the moments of {\bf "velocity
derivatives"}. Using this result as a dynamic constraint, it is argued that in
the vicinity of the fixed point (integral scale) the high-order
non-linearities, generated by the procedure, are irrelevant. The infra-red
divergencies do not disappear but are are contained in the derived equations
for the symmetry-breaking large-scale flows (turbulence models or
"condensates"), which are source of the small-scale turbulence.


title: Nested Nonnegative Cone Analysis

abstract:
  Motivated by the analysis of nonnegative data objects, a novel Nested
Nonnegative Cone Analysis (NNCA) approach is proposed to overcome some
drawbacks of existing methods. The application of traditional PCA/SVD method to
nonnegative data often cause the approximation matrix leave the nonnegative
cone, which leads to non-interpretable and sometimes nonsensical results. The
nonnegative matrix factorization (NMF) approach overcomes this issue, however
the NMF approximation matrices suffer several drawbacks: 1) the factorization
may not be unique, 2) the resulting approximation matrix at a specific rank may
not be unique, and 3) the subspaces spanned by the approximation matrices at
different ranks may not be nested. These drawbacks will cause troubles in
determining the number of components and in multi-scale (in ranks)
interpretability. The NNCA approach proposed in this paper naturally generates
a nested structure, and is shown to be unique at each rank. Simulations are
used in this paper to illustrate the drawbacks of the traditional methods, and
the usefulness of the NNCA method.


title: Angle Combinations in Spherical Tilings by Congruent Pentagons

abstract:
  We develop a systematic method for computing the angle combinations in
spherical tilings by angle congruent pentagons, and study whether such
combinations can be realized by actual angle or geometrically congruent
tilings. We get major families of angle or geometrically congruent tilings
related to the platonic solids.


title: A Systematic Mapping Study on Cloud Computing

abstract:
  Cloud Computing emerges from the global economic crisis as an option to use
computing resources from a more rational point of view. In other words, a
cheaper way to have IT resources. However, issues as security and privacy, SLA
(Service Layer Agreement), resource sharing, and billing has left open
questions about the real gains of that model. This study aims to investigate
state-of-the-art in Cloud Computing, identify gaps, challenges, synthesize
available evidences both its use and development, and provides relevant
information, clarifying open questions and common discussed issues about that
model through literature. The good practices of systematic map- ping study
methodology were adopted in order to reach those objectives. Al- though Cloud
Computing is based on a business model with over 50 years of existence,
evidences found in this study indicate that Cloud Computing still presents
limitations that prevent the full use of the proposal on-demand.


title: Unitarity of black hole evaporation in final-state projection models

abstract:
  Almheiri et al. have emphasized that otherwise reasonable beliefs about black
hole evaporation are incompatible with the monogamy of quantum entanglement, a
general property of quantum mechanics. We investigate the final-state
projection model of black hole evaporation proposed by Horowitz and Maldacena,
pointing out that this model admits cloning of quantum states and polygamous
entanglement, allowing unitarity of the evaporation process to be reconciled
with smoothness of the black hole event horizon. Though the model seems to
require carefully tuned dynamics to ensure exact unitarity of the black hole
S-matrix, for a generic final-state boundary condition the deviations from
unitarity are exponentially small in the black hole entropy; furthermore
observers inside black holes need not detect any deviations from standard
quantum mechanics. Though measurements performed inside old black holes could
potentially produce causality-violating phenomena, the computational complexity
of decoding the Hawking radiation may render the causality violation
unobservable. Final-state projection models illustrate how inviolable
principles of standard quantum mechanics might be circumvented in a theory of
quantum gravity.


title:
The effect of the broad-line region with geometrical structures on
  gamma-ray absorption in blazars

abstract:
  The broad-line region (BLR) is an important component of blazars, especially
for the flat spectrum radio quasars (FSRQs). The soft photons arising from the
BLR will substantially affect the transparency of the gamma-ray photons
produced in the relativistic jet. In the paper, we study the effect of the
geometrical structure of the BLR on the absorption of gamma-rays. We find that
the gamma-ray optical depth strongly depends on the geometrical structure of
the BLR. For a "flat" geometry of the BLR, the gamma-ray photons with specified
energies could escape transparently even their emission region locates inside
the cavity of the BLR.


title: Flexible Low-Rank Statistical Modeling with Side Information

abstract:
  We propose a general framework for reduced-rank modeling of matrix-valued
data. By applying a generalized nuclear norm penalty we can directly model
low-dimensional latent variables associated with rows and columns. Our
framework flexibly incorporates row and column features, smoothing kernels, and
other sources of side information by penalizing deviations from the row and
column models. Moreover, a large class of these models can be estimated
scalably using convex optimization. The computational bottleneck in each case
is one singular value decomposition per iteration of a large but easy-to-apply
matrix. Our framework generalizes traditional convex matrix completion and
multi-task learning methods as well as maximum a posteriori estimation under a
large class of popular hierarchical Bayesian models.


title: New inflation in supergravity after Planck and LHC

abstract:
  We revisit a single-field new inflation model based on a discrete R symmetry.
Interestingly, the inflaton dynamics naturally leads to a heavy gravitino of
mass m_3/2 = O(1-100) TeV, which is consistent with the standard-model like
Higgs boson of mass mh = 126 GeV. However, the predicted spectral index n_s =
0.94 is in tension with the Planck result, n_s = 0.9603+-0.073. We show that
the spectral index can be increased by allowing a small constant term in the
superpotential during inflation. The required size of the constant is close to
the largest allowed value for successful inflation, and it may be a result of a
pressure toward larger values in the landscape. Alternatively, such constant
term may arise in association with supersymmetry breaking required to cancel
the negative cosmological constant from the inflaton sector.


title: Nonclassical mechanical states in an optomechanical micromaser analogue

abstract:
  Here we show that quantum states of a mechanical oscillator can be generated
in an optomechanical analogue of the micromaser, in absence of any atom-like
subsystem, thus exhibiting single-atom masing effects in a system composed
solely of oscillator components. In the regime where the single-photon coupling
strength is on the order of the cavity decay rate, a cavity mode with at most a
single-excitation present gives rise to sub-Poissonian oscillator limit-cycles
that generate quantum features in the steady state just above the renormalized
cavity resonance frequency and mechanical sidebands. The merger of multiple
stable limit-cycles markedly reduces these nonclassical signatures. Varying the
cavity-resonator coupling strength, corresponding to the micromaser pump
parameter, reveals transitions for the oscillator phonon number that are the
hallmark of a micromaser. The connection to the micromaser allows for a
physical understanding of how nonclassical states arise in this system, and how
best to maximize these signatures for experimental observation.


title: Pylearn2: a machine learning research library

abstract:
  Pylearn2 is a machine learning research library. This does not just mean that
it is a collection of machine learning algorithms that share a common API; it
means that it has been designed for flexibility and extensibility in order to
facilitate research projects that involve new or unusual use cases. In this
paper we give a brief history of the library, an overview of its basic
philosophy, a summary of the library's architecture, and a description of how
the Pylearn2 community functions socially.


title:
Ground state solution for a class of differential equations with left
  and right fractional derivatives

abstract:
  In this work we study the existence of solution for a class of fractional
differential equation given by \begin{eqnarray}\label{eq00}
_{t}D_{\infty}^{\alpha}{_{-\infty}}D_{t}^{\alpha}u(t) + u(t) = & f(t,u(t))\\
u\in H^{\alpha}(\mathbb{R}).\nonumber \end{eqnarray} where $\alpha \in (1/2,
1)$, $t\in \mathbb{R}$, $u\in \mathbb{R}$, $f\in C(\mathbb{R}, \mathbb{R})$.
Using mountain pass theorem and comparison argument we prove that (\ref{eq00})
at least has one nontrivial solution.


title: Triple Point in Correlated Interdependent Networks

abstract:
  Many real-world networks depend on other networks, often in non-trivial ways,
to maintain their functionality. These interdependent "networks of networks"
are often extremely fragile. When a fraction $1-p$ of nodes in one network
randomly fails, the damage propagates to nodes in networks that are
interdependent and a dynamic failure cascade occurs that affects the entire
system. We present dynamic equations for two interdependent networks that allow
us to reproduce the failure cascade for an arbitrary pattern of
interdependency. We study the "rich club" effect found in many real
interdependent network systems in which the high-degree nodes are extremely
interdependent, correlating a fraction $\alpha$ of the higher degree nodes on
each network. We find a rich phase diagram in the plane $p-\alpha$, with a
triple point reminiscent of the triple point of liquids that separates a
non-functional phase from two functional phases.


title:
A Geometrical Root Finding Method for Polynomials, with Complexity
  Analysis

abstract:
  The usual methods for root finding of polynomials are based on the iteration
of a numerical formula for improvement of successive estimations. The
unpredictable nature of the iterations prevents to search roots inside a
pre-specified region of complex plane. This work describes a root finding
method that overcomes this disadvantage. It is based on the winding number of
plane curves, a geometric construct that is related to the number of zeros of
each polynomial. The method can be restrained to search inside a pre-specified
region. It can be easily parallelized. Its correctness is formally proven, and
its computational complexity is also analyzed.


title:
Private Outsourcing of Polynomial Evaluation and Matrix Multiplication
  using Multilinear Maps

abstract:
  {\em Verifiable computation} (VC) allows a computationally weak client to
outsource the evaluation of a function on many inputs to a powerful but
untrusted server. The client invests a large amount of off-line computation and
gives an encoding of its function to the server. The server returns both an
evaluation of the function on the client's input and a proof such that the
client can verify the evaluation using substantially less effort than doing the
evaluation on its own. We consider how to privately outsource computations
using {\em privacy preserving} VC schemes whose executions reveal no
information on the client's input or function to the server. We construct VC
schemes with {\em input privacy} for univariate polynomial evaluation and
matrix multiplication and then extend them such that the {\em function privacy}
is also achieved. Our tool is the recently developed {mutilinear maps}. The
proposed VC schemes can be used in outsourcing {private information retrieval
(PIR)}.


title:
On the classification of quasitoric manifolds over the dual cyclic
  polytopes

abstract:
  For a simple $n$-polytope $P$, a quasitoric manifold over $P$ is a
$2n$-dimensional smooth manifold with a locally standard action of the
$n$-dimensional torus for which the orbit space is identified with $P$. This
paper shows the topological classification of quasitoric manifolds over the
dual cyclic polytope $C^n(m)^*$, when $n>3$ or $m-n=3$. Besides, we classify
small covers, the "real version" of quasitoric manifolds, over all dual cyclic
polytopes.


title: Stability of three-fermion clusters with finite range of attraction

abstract:
  Three quantum particles with on-site repulsion and nearest-neighbour
attraction on a one-dimensional lattice are considered. The three-body
Schroedinger equation is reduced to a set of single-variable integral
equations. Energies of three-particle bound complexes (trions) are found from
self-consistency of the approximating matrix equation. In the case of spin-1/2
fermions, the ground state trion energy, the excited state energies, the trion
spectra and stability regions are obtained for total spins S = 1/2 and S = 3/2.
In the S = 1/2 sector, a narrow but finite parameter region is identified where
the ground state consists of a stable fermion pair and an unbound fermion. Also
presented is the reference case of spin-0 bosons.


title:
Anisotropic electronic properties of a-axis-oriented Sr2IrO4 epitaxial
  thin-films

abstract:
  We have investigated the transport and optical properties along the c-axis of
a-axis-oriented Sr2IrO4 epitaxial thin-films grown on LaSrGaO4 (100)
substrates. The c-axis resistivity is approximately one order of magnitude
larger than that of the ab-plane. Optical absorption spectra with E//b
polarization show both Ir 5d intersite transitions and charge-transfer
transitions (O 2p to Ir 5d), while E//c spectra show only the latter. The
structural anisotropy created by biaxial strain in a-axis-oriented thin-films
also changes the electronic structure and gap energy. These a-axis-oriented,
epitaxial thin-films provide a powerful tool to investigate the highly
anisotropic electronic properties of Sr2IrO4.


title: Transfer operators and topological field theory

abstract:
  The transfer operator (TO) formalism of the dynamical systems (DS) theory is
reformulated here in terms of the recently proposed supersymetric theory of
stochastic differential equations (SDE). It turns out that the stochastically
generalized TO (GTO) of the DS theory is the finite-time Fokker-Planck
evolution operator. As a result comes the supersymmetric trivialization of the
so-called sharp trace and sharp determinant of the GTO, with the former being
the Witten index, which is also the stochastic generalization of the Lefschetz
index so that it equals the Euler characteristic of the (closed) phase space
for any flow vector field, noise metric, and temperature. The enabled
possibility to apply the spectral theorems of the DS theory to the
Fokker-Planck operators allows to extend the previous picture of the
spontaneous topological supersymmetry (Q-symmetry) breaking onto the situations
with negative ground state's attenuation rate. The later signifies the
exponential growth of the number of periodic solutions/orbits in the large time
limit, which is the unique feature of chaotic behavior proving that the
spontaneous breakdown of Q-symmetry is indeed the field-theoretic definition
and stochastic generalization of the concept of deterministic chaos. In
addition, the previously proposed low-temperature classification of SDEs, i.e.,
thermodynamic equilibrium / noise-induced chaos ((anti)instanton condensation,
intermittent) / ordinary chaos (non-integrability of the flow vector field), is
complemented by the discussion of the high-temperature regime where the sharp
boundary between the noise-induced and ordinary chaotic phases must smear out
into a crossover, and at even higher temperatures the Q-symmetry is restored.
The Weyl quantization is discussed in the context of the Ito-Stratonovich
dilemma.


title: Topological classification of chains of linear mappings

abstract:
  We prove that two chains of linear mappings are topologically isomorphic if
and only if they are linearly isomorphic.


title: Topological classification of Mobius transformations

abstract:
  Linear fractional transformations on the extended complex plane are
classified up to topological conjugacy. Recall that two transformations f and g
are called topologically conjugate if there exists a homeomorphism h such that
hg=fh.


title:
Macroscopic Quantum Phenomena from the Coupling Pattern and Entanglement
  Structure Perspective

abstract:
  We explore in this paper ways to qualify and quantify the quantum
entanglement $E(M)$ between two macroscopic objects by way of model studies.
Knowing that a macroscopic object is a composite, how does one determine $E(M)$
in terms of the entanglements between its micro-constituents $E(\mu)$? We
assert that the notion of `levels of structure', the coupling strength between
constituents in different levels, and the use of collective variables in each
level are all pertinent factors. We consider two types of coupling, each
constituent particle is coupled to only one other particle (1-to-1) versus it
coupled to all particles (1-to-all). In the 1-1 case with pairwise interactions
of equal strength, the entanglement is independent of the number of constituent
particles $N$ in the macroscopic object. In the 1-to-all case the relative
coordinates are decoupled and the center of mass (CoM) coupling scales with
$N$. We provide a proof of the conditions whereby the CoM variable decouples, a
cause for the special role the CoM variable plays in the entanglement between
the two such macroscopic objects. This qualitative behavior is largely not
affected by fluctuations in the interaction strength. We also analyzed the
entanglement pattern of 4 coupled oscillators in two pairs, representing the
two objects A and B (or two adjacent levels of structure), each with two
constituents. By assigning different coupling strengths we can investigate the
interplay of inter-level entanglement with intra- level interactions. From the
entanglement dynamics of the 4-oscillator system with varying coupling strength
we see the entanglement between constituents meeting sudden death while the CoM
variables may sustain over longer times. This offers another way to determine
under what conditions quantum entanglement between macroscopic objects can
persist.


title:
Constructing a Multiple-Choice Assessment For Upper-Division Quantum
  Physics From An Open-Ended Tool

abstract:
  As part of an ongoing investigation of student learning in upper-division
quantum mechanics, we needed a high-quality conceptual assessment instrument
for comparing outcomes of different curricular approaches. The 14 item
open-ended Quantum Mechanics Assessment Tool (QMAT) was previously developed
for this purpose. However, open-ended tests require complex scoring rubrics,
are difficult to score consistently, and demand substantial investment of
faculty time to grade. Here, we present the process of converting open-ended
questions to multiple-choice (MC) format. We highlight the construction of
effective distractors and the use of student interviews to revise and validate
questions and distractors. We examine other elements of the process, including
results of a preliminary implementation of the MC assessment given at Cal Poly
Pomona and CU Boulder.


title:
A Computational Framework for the Mixing Times in the QBD Processes with
  Infinitely-Many Levels

abstract:
  In this paper, we develop some matrix Poisson's equations satisfied by the
mean and variance of the mixing time in an irreducible positive-recurrent
discrete-time Markov chain with infinitely-many levels, and provide a
computational framework for the solution to the matrix Poisson's equations by
means of the UL-type of $RG$-factorization as well as the generalized inverses.
In an important special case: the level-dependent QBD processes, we provide a
detailed computation for the mean and variance of the mixing time. Based on
this, we give new highlight on computation of the mixing time in the
block-structured Markov chains with infinitely-many levels through the
matrix-analytic method.


title:
On Kodaira type vanishing for Calabi-Yau threefolds in positive
  characteristic

abstract:
  We consider Calabi-Yau threefolds $X$ over an algebraically closed field $k$
of characteristic $p>0$ that are not liftable to characteristic $0$ or liftable
ones with $p=2$. It is unknown whether Kodaira vanishing holds for these
varieties. In this paper, we give a lower bound of $h^1(X, L^{-1})=\dim_k
H^1(X, L^{-1})$ if $L$ is an ample divisor with $H^1(X, L^{-1})\ne{0}$.
Moreover, we show that a Kodaira type vanishing holds if $X$ is a Schr\"oer
variety or a Schoen variety, which extends the similar result given in my
previous paper for the Hirokado variety. We show that such kind of vanishing
holds for Calabi-Yau manifold whose Picard variety has no $p$-torsion. Also we
show that a modified Raynaud-Mukai construction does not produce any
counter-example to Kodaira vanishing.


title: Elliptic points of the Drinfeld modular groups

abstract:
  Let $K$ be an algebraic function field with constant field ${\mathbb F}_q$.
Fix a place $\infty$ of $K$ of degree $\delta$ and let $A$ be the ring of
elements of $K$ that are integral outside $\infty$. We give an explicit
description of the elliptic points for the action of the Drinfeld modular group
$G=GL_2(A)$ on the Drinfeld's upper half-plane $\Omega$ and on the Drinfeld
modular curve $G\!\setminus\!\Omega$. It is known that under the {\it building
map} elliptic points are mapped onto vertices of the {\it Bruhat-Tits tree} of
$G$. We show how such vertices can be determined by a simple condition on their
stabilizers. Finally for the special case $\delta=1$ we obtain from this a
surprising free product decomposition for $PGL_2(A)$.


title: Basic Topological Structure of Fast Basins

abstract:
  We define fractal continuations and the fast basin of the IFS and investigate
which properties they inherit from the attractor. Some illustrated examples are
provided.


title: Understanding water's anomalies with locally favored structures

abstract:
  Water is a complex structured liquid of hydrogen-bonded molecules that
displays a surprising array of unusual properties, also known as water
anomalies, the most famous being the density maximum at about $4^\circ$C. The
origin of these anomalies is still a matter of debate, and so far a
quantitative description of water's phase behavior starting from the molecular
arrangements is still missing. Here we provide a simple physical description
from microscopic data obtained through computer simulations. We introduce a
novel structural order parameter, which quantifies the degree of translational
order of the second shell, and show that this parameter alone, which measures
the amount of locally favored structures, accurately characterizes the state of
water. A two-state modeling of these microscopic structures is used to describe
the behavior of liquid water over a wide region of the phase diagram, correctly
identifying the density and compressibility anomalies, and being compatible
with the existence of a second critical point in the deeply supercooled region.
Furthermore, we reveal that locally favored structures in water not only have
translational order in the second shell, but also contain five-membered rings
of hydrogen-bonded molecules. This suggests their mixed character: the former
helps crystallization, whereas the latter causes frustration against
crystallization.


title: The kinetic Holway-Shakhov equation

abstract:
  The new generalized kinetic equation is offered. This equation represents a
hybrid Shakhov's equation and ellipsoidal statistical Holway's equation.
Equation constants are expressed through such physically significant
quantities, as viscosity of gas, its heat conductivity and self-diffusion
coefficient. Then these quantities are expressed through integral brackets.


title:
Symmetries and Special Solutions of Reductions of the Lattice Potential
  KdV Equation

abstract:
  We identify a periodic reduction of the non-autonomous lattice potential
Korteweg-de Vries equation with the additive discrete Painlev\'e equation with
$E^{(1)}_6$ symmetry. We present a description of a set of symmetries of the
reduced equations and their relations to the symmetries of the discrete
Painlev\'e equation. Finally, we exploit the simple symmetric form of the
reduced equations to find rational and hypergeometric solutions of this
discrete Painlev\'e equation.


title:
Probing long-range correlations in the Berezinskii-Kosterlitz-Thouless
  fluctuation regime of ultra-thin NbN superconducting films using transport
  noise measurements

abstract:
  We probe the presence of long-range correlations in phase fluctuations by
analyzing the higher-order spectrum of resistance fluctuations in ultra-thin
NbN superconducting films. The non-Gaussian component of resistance
fluctuations is found to be sensitive to film thickness close to the
transition, which allows us to distinguish between mean field and
Berezinskii-Kosterlitz-Thouless (BKT) type superconducting transitions. The
extent of non-Gaussianity was found to be bounded by the BKT and mean field
transition temperatures and depend strongly on the roughness and structural
inhomogeneity of the superconducting films. Our experiment outlines a novel
fluctuation-based kinetic probe in detecting the nature of superconductivity in
disordered low-dimensional materials.


title: Collider Signatures of Goldstone Bosons

abstract:
  Recently Weinberg suggested that Goldstone bosons arising from the
spontaneous breakdown of some global hidden symmetries can interact weakly in
the early Universe and account for a fraction of the effective number of
neutrino species N_eff, which has been reported persistently 1 \sigma away from
its expected value of three. In this work, we study in some details a number of
experimental constraints on this interesting idea based on the simplest
possibility of a global U(1), as studied by Weinberg. We work out the decay
branching ratios of the associated light scalar field $\sigma$ and suggest a
possible collider signature at the Large Hadron Collider (LHC). In some corners
of the parameter space, the scalar field \sigma can decay into a pair of pions
with a branching ratio of order O(1)% while the rest is mostly a pair of
Goldstone bosons. The collider signature would be gluon fusion into the
standard model Higgs boson gg -> H or associated production with a W gauge
boson q q'-bar -> H W, followed by H -> \sigma \sigma -> (\pi\pi)
(\alpha\alpha), where \alpha is the Goldstone boson.


title: The Ginzburg-Landau order parameter near the second critical field

abstract:
  In Ginzburg-Landau Theory of superconductivity, the density and location of
the superconducting electrons are measured by a complex-valued wave function,
the order parameter. In this paper, when the intensity of the applied magnetic
field is close to the second critical field, and when the order parameter
minimizes the Ginzburg-Landau functional defined over a two dimensional domain,
the leading order approximation of its $L^2$-norm in `small' squares is given
as the Ginzburg-Landau parameter tends to infinity.


title:
Theory of the electron relaxation in metals excited by an ultrashort
  optical pump

abstract:
  The theory of the electron relaxation in metals excited by an ultrashort
optical pump is developed on the basis of the solution of the linearized
kinetic equation. The kinetic equation includes both the electron-electron and
the electron-phonon collision integrals. The widely used two temperature model
follows from the theory as the limiting case, when the thermalization due to
the electronelectron collisions is fast with respect to the electron-phonon
relaxation. It is demonstrated that the energy relaxation has two consecutive
processes. The first and most important step describes the emission of phonons
by the photo-excited electrons. It leads to the relaxation of 90% of the energy
before the electrons become thermalized among themselves. The second step
describes electronphonon thermalization and may be described by the two
temperature model. The second stage is difficult to observe experimentally
because it involves the transfer of only a small amount of energy from
electrons. Thus the theory explains why the divergence of the relaxation time
at low temperatures was never observed experimentally.


title: A Gap Theorem for Willmore Tori and an application to the Willmore Flow

abstract:
  In 1965 Willmore conjectured that the integral of the square of the mean
curvature of a torus immersed in $R^3$ is at least $2\pi^2$ and attains this
minimal value if and only if the torus is a M\"obius transform of the Clifford
torus. This was recently proved by Marques and Neves. In this paper, we show
for tori there is a gap to the next critical point of the Willmore energy and
we discuss an application to the Willmore flow. We also prove an energy gap
from the Clifford torus to surfaces of higher genus.


title: Testing locality and noncontextuality with the lowest moments

abstract:
  The quest for fundamental test of quantum mechanics is an ongoing effort. We
here address the question of what are the lowest possible moments needed to
prove quantum nonlocality and noncontextuality without any further assumption
-- in particular without the often assumed dichotomy. We first show that second
order correlations can always be explained by a classical noncontextual
local-hidden-variable theory. Similar third-order correlations also cannot
violate classical inequalities in general, except for a special state-dependent
noncontextuality. However, we show that fourth-order correlations can violate
locality and state-independent noncontextuality. Finally we obtain a
fourth-order continuous-variable Bell inequality for position and momentum,
which can be violated and might be useful in Bell tests closing all loopholes
simultaneously.


title: Casoratian Identities for the Wilson and Askey-Wilson Polynomials

abstract:
  Infinitely many Casoratian identities are derived for the Wilson and
Askey-Wilson polynomials in parallel to the Wronskian identities for the
Hermite, Laguerre and Jacobi polynomials, which were reported recently by the
present authors. These identities form the basis of the equivalence between
eigenstate adding and deleting Darboux transformations for solvable (discrete)
quantum mechanical systems. Similar identities hold for various reduced form
polynomials of the Wilson and Askey-Wilson polynomials, e.g. the continuous
q-Jacobi, continuous (dual) (q-)Hahn, Meixner-Pollaczek, Al-Salam-Chihara,
continuous (big) q-Hermite, etc.

categories: math-ph hep-th math.CA math.MP nlin.SI quant-ph


title:
Creative Interference and States of Potentiality in Analogy Problem
  Solving

abstract:
  Creative processes are widely believed to involve the generation of multiple,
discrete, well-defined possibilities followed by exploration and selection. An
alternative, inspired by parallel distributed processing models of associative
memory, is that creativity involves the merging and interference of memory
items resulting in a single cognitive structure that is ill-defined, and can
thus be said to exist in a state of potentiality. We tested this hypothesis in
an experiment in which participants were interrupted midway through solving an
analogy problem and asked what they were thinking in terms of a solution. Naive
judges categorized their responses as AP if there was evidence of merging
solution sources from memory resulting in an ill-defined idea, and SM if there
was no evidence of this. Data from frequency counts and mean number of SM
versus AP judgments supported the hypothesis that midway through creative
processing an idea is in a potentiality state.


title:
Testing excited-state energy density functional and potential with the
  ionization potential theorem

abstract:
  The modified local spin density functional and the related local potential
for excited states is tested by employing the ionization potential theorem. The
functional is constructed by splitting $k$-space. Since its functional
derivative cannot be obtained easily, the corresponding potential is given by
analogy to its ground-state counterpart. Further to calculate the highest
occupied orbital energy $\epsilon_{max}$ accurately, the potential is corrected
for its asymptotic behavior by employing the van Leeuwen and Baerends
correction to it. $\epsilon_{max}$ so obtained is then compared with the
$\Delta$SCF ionization energy calculated using the MLSD functional. It is shown
that the two match quite accurately.


title: Douglas-Rachford Feasibility Methods for Matrix Completion Problems

abstract:
  In this paper we give general recommendations for successful application of
the Douglas-Rachford reflection method to convex and non-convex real
matrix-completion problems. These guidelines are demonstrated by various
illustrative examples.


title: DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms

abstract:
  We give a construction of NC-smooth thickenings (a notion defined by Kapranov
in math/9802041) of a smooth variety equipped with a torsion free connection.
We show that a twisted version of this construction realizes all NC-smooth
thickenings as 0th cohomology of a differential graded sheaf of algebras,
similarly to Fedosov's construction in \cite{Fed}. We use this dg resolution to
construct and study sheaves on NC-smooth thickenings. In particular, we
construct an NC version of the Fourier-Mukai transform from coherent sheaves on
a (commutative) curve to perfect complexes on the canonical NC-smooth
thickening of its Jacobian. We also define and study analytic NC-manifolds. We
prove NC-versions of some of GAGA theorems, and give a $C^\infty$-construction
of analytic NC-thickenings that can be used in particular for Kahler manifolds
with constant holomorphic sectional curvature. Finally, we describe an analytic
NC-thickening of the Poincare line bundle for the Jacobian of a curve, and the
corresponding Fourier-Mukai functor, in terms of A-infinity structures.


title: Evidence that Threatening Situations Enhance Creativity

abstract:
  We tested the hypothesis that threatening situations enhance creativity. 60
participants viewed a series of photographs and rated them on level of threat.
They then wrote two short stories: one based on the photograph they rated as
most threatening, and the other based on the photograph they rated as least
threatening. The stories were rated for level of creativity. Paired samples
t-tests revealed that stories based on threatening pictures produced a higher
degree of creativity than those based on non-threatening pictures. Theoretical
frameworks consistent with these findings are discussed.


title:
Incompressible limit of strong solutions to 3-D Navier-Stokes equations
  with Navier's slip boundary condition for all time

abstract:
  This paper studies the incompressible limit of global strong solutions to the
three-dimensional compressible Navier-Stokes equations associated with Navier's
slip boundary condition, provided that the time derivatives, up to first order,
of solutions are bounded initially. The main idea is to derive a differential
inequality with decay, so that the estimates are bounded uniformly both in the
Mach number 0<\epsilon<=\epsilon 0 for some \epsilon 0>0 and the time t>=0.


title: Nodal intersections and Lp restriction theorems on the torus

abstract:
  We study the number of intersections of the nodal lines of an eigenfunction
of the Laplacian on the standard torus with a fixed reference curve, that is,
the number of zeros of the eigenfunction restricted to the curve. An upper
bound is the wave number k. When the curve has nowhere zero curvature, we
conjecture that, up to a constant multiple, this should also be the correct a
lower bound. We give a lower bound which differs from this by an arithmetic
quantity, given in terms of the maximal number of lattice points in arcs of
size square root of the wave number k on a circle of radius k. According to a
conjecture of Cilleruelo and Granville, this quantity is bounded in which case
we recover our conjecture. To get at the lower bound, we reduce the problem to
giving a lower bound for the L1 norm of the restriction of the eigenfunction to
the curve, and then to an upper bound for the L4 restriction norm.


title:
Hole Spin Helix: Anomalous Spin Diffusion in Anisotropic Strained Hole
  Quantum Wells

abstract:
  We obtain the spin-orbit interaction and spin-charge coupled transport
equations of a two-dimensional heavy hole gas under the influence of strain and
anisotropy. We show that a simple two-band Hamiltonian can be used to describe
the holes. In addition to the well-known cubic hole spin-orbit interaction,
anisotropy causes a Dresselhaus-like term, and strain causes a Rashba term. We
discover that strain can cause a shifting symmetry of the Fermi surfaces for
spin up and down holes. We predict an enhanced spin lifetime associated with a
spin helix standing wave similar to the Persistent Spin Helix which exists in
the two-dimensional electron gas with equal Rashba and Dresselhaus spin-orbit
interactions. These results may be useful both for spin-based experimental
determination of the Luttinger parameters of the valence band Hamiltonian and
for creating long-lived spin excitations.


title: A regular version of Smilansky model

abstract:
  We discuss a modification of Smilansky model in which a singular potential
`channel' is replaced by a regular, below unbounded potential which shrinks as
it becomes deeper. We demonstrate that, similarly to the original model, such a
system exhibits a spectral transition with respect to the coupling constant,
and determine the critical value above which a new spectral branch opens. The
result is generalized to situations with multiple potential `channels'.


title: A finitely presented group of piecewise projective homeomorphisms

abstract:
  In this article we will describe a finitely presented subgroup of Monod's
group of piecewise projective homeomorphisms of R. This in particular provides
a new example of a finitely presented group which is nonamenable and yet does
not contain a nonabelian free subgroup. It is in fact the first such example
which is torsion free. We will also develop a means for representing the
elements of the group by labeled tree diagrams in a manner which closely
parallels Richard Thompson's group F.


title: Graphs with 3-rainbow index $n-1$ and $n-2$

abstract:
  Let $G$ be a nontrivial connected graph with an edge-coloring
$c:E(G)\rightarrow \{1,2,\ldots,q\},$ $q\in \mathbb{N}$, where adjacent edges
may be colored the same. A tree $T$ in $G$ is a $rainbow tree$ if no two edges
of $T$ receive the same color. For a vertex set $S\subseteq V(G)$, the tree
connecting $S$ in $G$ is called an $S$-tree. The minimum number of colors that
are needed in an edge-coloring of $G$ such that there is a rainbow $S$-tree for
each $k$-set $S$ of $V(G)$ is called the $k$-rainbow index of $G$, denoted by
$rx_k(G)$. In \cite{Zhang}, they got that the $k$-rainbow index of a tree is
$n-1$ and the $k$-rainbow index of a unicyclic graph is $n-1$ or $n-2$. So
there is an intriguing problem: Characterize graphs with the $k$-rainbow index
$n-1$ and $n-2$. In this paper, we focus on $k=3$, and characterize the graphs
whose 3-rainbow index is $n-1$ and $n-2$, respectively.


title: Explicit constructions of point sets and sequences with low discrepancy

abstract:
  In this article we survey recent results on the explicit construction of
finite point sets and infinite sequences with optimal order of $\mathcal{L}_q$
discrepancy. In 1954 Roth proved a lower bound for the $\mathcal{L}_2$
discrepancy of finite point sets in the unit cube of arbitrary dimension. Later
various authors extended Roth's result to lower bounds also for the
$\mathcal{L}_q$ discrepancy and for infinite sequences. While it was known
already from the early 1980s on that Roth's lower bound is best possible in the
order of magnitude, it was a longstanding open question to find explicit
constructions of point sets and sequences with optimal order of $\mathcal{L}_2$
discrepancy. This problem was solved by Chen and Skriganov in 2002 for finite
point sets and recently by the authors of this article for infinite sequences.
These constructions can also be extended to give optimal order of the
$\mathcal{L}_q$ discrepancy of finite point sets for $q \in (1,\infty)$. The
main aim of this article is to give an overview of these constructions and
related results.


title:
Koopmans' condition in self-interaction corrected density functional
  theory

abstract:
  We investigate from a practitioner's point of view the computation of the
ionization potential (IP) within density functional theory (DFT). DFT with
(semi-)local energy-density functionals is plagued by a self-interaction error
which hampers the computation of IP from the single-particle energy of the
highest occupied molecular orbital (HOMO). The problem may be cured by a self
interaction correction (SIC) for which there exist various approximate
treatments. We compare the performance of the SIC proposed by Perdew and Zunger
with the very simple average-density SIC (ADSIC) for a large variety of atoms
and molecules up to larger systems as carbon rings and chains. Both approaches
to SIC provide a large improvement to the quality of the IP if calculated from
the HOMO level. The surprising result is that the simple ADSIC performs even
better than the original Perdew-Zunger SIC (PZSIC) in the majority of the
studied cases.


title: Fuzzy Soft normed space and Fuzzy Soft linear operator

abstract:
  The concept of fuzzy soft set was introduced for the first time by Maji et
al. in 2002, and was considered sharply from applicable aspects to theoretical
aspects by a wide range of researchers. In this paper the concept of fuzzy soft
norm over fuzzy soft spaces has been considered and some properties of fuzzy
soft normed spaces are studied. We also study the fuzzy soft topology over a
crisp set by using the fuzzy soft subsets of it and the relationship between
fuzzy soft topology and general topology is investigated. Fuzzy soft linear
operator over fuzzy soft spaces is introduced and continuity of such operators
is considered.


title: Electro-Osmotic Flow of Semidilute Polyelectrolyte Solutions

abstract:
  We investigate electro-osmosis in aqueous solutions of polyelectrolytes using
mean-field equations. A solution of positively charged polyelectrolytes is
confined between two negatively charged planar surfaces, and an electric field
is applied parallel to the surfaces. When electrostatic attraction between the
polymer and the surface is strong, the polymers adhere to the surface, forming
a highly viscous adsorption layer that greatly suppresses the electro-osmosis.
Conversely, electro-osmosis is enhanced by depleting the polymers from the
surfaces. We also found that the electro-osmotic flow is invertible when the
electrostatic potential decays to its bulk value with the opposite sign. These
behaviors are well explained by a simple mathematical form of the
electro-osmotic coefficient.


title: Forgiver triumphs in alternating Prisoner's Dilemma

abstract:
  Cooperative behavior, where one individual incurs a cost to help another, is
a wide spread phenomenon. Here we study direct reciprocity in the context of
the alternating Prisoner's Dilemma. We consider all strategies that can be
implemented by one and two-state automata. We calculate the payoff matrix of
all pairwise encounters in the presence of noise. We explore deterministic
selection dynamics with and without mutation. Using different error rates and
payoff values, we observe convergence to a small number of distinct equilibria.
Two of them are uncooperative strict Nash equilibria representing always-defect
(ALLD) and Grim. The third equilibrium is mixed and represents a cooperative
alliance of several strategies, dominated by a strategy which we call Forgiver.
Forgiver cooperates whenever the opponent has cooperated; it defects once when
the opponent has defected, but subsequently Forgiver attempts to re-establish
cooperation even if the opponent has defected again. Forgiver is not an
evolutionarily stable strategy, but the alliance, which it rules, is
asymptotically stable. For a wide range of parameter values the most commonly
observed outcome is convergence to the mixed equilibrium, dominated by
Forgiver. Our results show that although forgiving might incur a short-term
loss it can lead to a long-term gain. Forgiveness facilitates stable
cooperation in the presence of exploitation and noise.


title:
On-demand generation of indistinguishable polarization-entangled photon
  pairs

abstract:
  An on-demand source of indistinguishable and entangled photon pairs is a
fundamental component for different quantum information applications such as
optical quantum computing, quantum repeaters, quantum teleportation and quantum
communication. Parametric down-conversion and four-wave mixing sources of
entangled photons have shown high degrees of entanglement and
indistinguishability but the probabilistic nature of their generation process
also creates zero or multiple photon pairs following a Poissonian distribution.
This limits their use in complex algorithms where many qubits and gate
operations are required. Here we show simultaneously ultra-high purity
(g^(2)(0) < 0.004), high entanglement fidelity (0.81 +/- 0.02), high two-photon
interference non-post selective visibilities (0.86 +/- 0.03 and 0.71 +/- 0.04)
and on-demand generation of polarization-entangled photon pairs from a single
semiconductor quantum dot. Through a two-photon resonant excitation scheme, the
biexciton population is deterministically prepared by a Pi-pulse. Applied on a
quantum dot showing no exciton fine structure splitting, this results in the
deterministic generation of indistinguishable entangled photon pairs.


title: Symplectic Bott-Chern cohomology of solvmanifolds

abstract:
  We study the symplectic Bott-Chern cohomology by L.-S. Tseng and S.-T. Yau
for solvmanifolds endowed with left-invariant symplectic structures. Our
results are applicable to cohomology with values in local systems. Studying
symplectic Bott-Chern cohomology of solvmanifolds with values in local systems,
we give some remarks on symplectic Hodge theory.


title:
Time Development of Early Social Networks: Link analysis and group
  dynamics

abstract:
  Empirical data on early network history are rare. Students beginning their
studies at a university with no or few prior connections to each other offer a
unique opportunity to investigate the formation and early development of social
networks. During a nine week introductory physics course, first year physics
students were asked to identify those with whom they communicated about problem
solving in physics during the preceding week. We use these students' self
reports to produce time dependent student interaction networks. These networks
have also been investigated to elucidate possible effects of gender and
students' final course grade. Changes in the weekly number of links are
investigated to show that while roughly half of all links change from week to
week, students also reestablish a growing number of links as they progress
through their first weeks of study. To investigate how students group, Infomap
is used to establish groups. Further, student group flow is examined using
alluvial diagrams, showing that many students jump between group each week.,
Finally, a segregation measure is developed which shows that students structure
themselves according to gender and laboratory exercise groups and not according
to end-of-course grade. The results show the behavior of an early
social-educational network, and may have implications for theoretical network
models as well as for physics education.


title: Acyclic, connected and tree sets

abstract:
  Given a set $F$ of words, one associates to each word $w$ in $F$ an
undirected graph, called its extension graph, and which describes the possible
extensions of $w$ on the left and on the right. We investigate the family of
sets of words defined by the property of the extension graph of each word in
the set to be acyclic or connected or a tree. We prove that in a uniformly
recurrent tree set, the sets of first return words are bases of the free group
on the alphabet. Concerning acyclic sets, we prove as a main result that a set
$F$ is acyclic if and only if any bifix code included in $F$ is a basis of the
subgroup that it generates.


title: Quantum Fluctuations of Particles and Fields in Smooth Path Integrals

abstract:
  An approach to evaluation of the smooth Feynman path integrals is developed
for the study of quantum fluctuations of particles and fields in Euclidean
time-space. The paths are described by sum of Gauss functions and are weighted
with exp(-S) by appropriate methods. The weighted smooth paths reproduce
properties of the ground state of the harmonic oscillator in one dimension with
high accuracy. Quantum fluctuations of U(1) and SU(2) gauge fields in four
dimensions are also evaluated in our approach.