title: Leading isospin breaking effects on the lattice

abstract:
  We present a method to evaluate on the lattice the leading isospin breaking
effects due to both the small mass difference between the up and down quarks
and the QED interaction. Our proposal is applicable in principle to any QCD+QED
gauge invariant hadronic observable which can be computed on the lattice. It is
based on the expansion of the path-integral in powers of the small parameters
(m_d - m_u)/Lambda_{QCD} and alpha_{em}, where m_f is the renormalized quark
mass and alpha_{em} the renormalized fine structure constant. In this paper we
discuss in detail the general strategy of the method and the conventional,
although arbitrary, separation of QCD from QED isospin breaking corrections. We
obtain results for the pion mass splitting, M_{pi+}^2-M_{pi0}^2= 1.44(13)(16) x
10^3 MeV^2, for the Dashen's theorem breaking parameter epsilon_{gamma}=
0.79(18)(18), for the light quark masses, [m_d - m_u](MSbar,2 GeV)= 2.39(8)(17)
MeV, [m_u / m_d](MSbar,2 GeV)= 0.50(2)(3) and for the flavour symmetry breaking
parameters R and Q. We also update our previous results for the QCD isospin
breaking corrections to the Kl2 decay rate and for the QCD contribution to the
neutron-proton mass splitting.


title: Maximum Edge-Disjoint Paths in $k$-sums of Graphs

abstract:
  We consider the approximability of the maximum edge-disjoint paths problem
(MEDP) in undirected graphs, and in particular, the integrality gap of the
natural multicommodity flow based relaxation for it. The integrality gap is
known to be $\Omega(\sqrt{n})$ even for planar graphs due to a simple
topological obstruction and a major focus, following earlier work, has been
understanding the gap if some constant congestion is allowed.
  In this context, it is natural to ask for which classes of graphs does a
constant-factor constant-congestion property hold. It is easy to deduce that
for given constant bounds on the approximation and congestion, the class of
"nice" graphs is nor-closed. Is the converse true? Does every proper
minor-closed family of graphs exhibit a constant factor, constant congestion
bound relative to the LP relaxation? We conjecture that the answer is yes.
  One stumbling block has been that such bounds were not known for bounded
treewidth graphs (or even treewidth 3). In this paper we give a polytime
algorithm which takes a fractional routing solution in a graph of bounded
treewidth and is able to integrally route a constant fraction of the LP
solution's value. Note that we do not incur any edge congestion. Previously
this was not known even for series parallel graphs which have treewidth 2. The
algorithm is based on a more general argument that applies to $k$-sums of
graphs in some graph family, as long as the graph family has a constant factor,
constant congestion bound. We then use this to show that such bounds hold for
the class of $k$-sums of bounded genus graphs.


title:
Organic glasses: cluster structure of the random energy landscape and
  its effect on charge transport and injection

abstract:
  An appropriate model for the random energy landscape in organic glasses is a
spatially correlated Gaussian field, generated by randomly located and oriented
dipoles and quadrupoles. Correlation properties of energetic disorder directly
dictates the mobility dependence on the applied electric field. Electrostatic
disorder is significantly modified in the vicinity of the electrode that
affects injection properties. Correlated Gaussian field forms clusters. We
suggest a simple method to estimate an asymptotics of the cluster distribution
on size for deep clusters where a value of the field on each site is much
greater than the rms disorder. Hopping transport in organic glasses in the case
of high carrier density could be described in terms of the effective
density-dependent temperature.


title:
The automorphism group of a self-dual [72,36,16] code does not contain
  S_3, A_4, or D_8

abstract:
  A computer calculation with Magma shows that there is no extremal self-dual
binary code C of length 72, whose automorphism group contains the symmetric
group of degree 3, the alternating group of degree 4 or the dihedral group of
order 8. Combining this with the known results in the literature one obtains
that Aut(C) has order at most 5 or isomorphic to the elementary abelian group
of order 8.


title:
Isotopic chains around oxygen from evolved chiral two- and three-nucleon
  interactions

abstract:
  We extend the formalism of self-consistent Green's function theory to include
three-body interactions and apply it to isotopic chains around oxygen for the
first time. The third-order algebraic diagrammatic construction [ADC(3)]
equations for two-body Hamiltonians can be exploited upon defining
system-dependent one- and two-body interactions coming from the three-body
force, and correspondingly dropping interaction reducible diagrams. This goes
beyond the standard normal ordering truncations recently used in ab-inito
studies. The Koltun sum rule for the total binding energy acquires a correction
due to the added three-body interaction. This formalism is then applied to
study chiral two-nucleon (2N) and three-nucleon forces (3NF) evolved to low
momentum cutoffs. We find that these interactions reproduce the binding
energies of nitrogen, oxygen and fluorine isotopes to great accuracy, providing
clear indication of the predictive power of this approach. All three neutron
driplines are correctly predicted when full 3NF are included. The formalism
introduced also allows to calculate form factors for nucleon transfer on doubly
magic systems.


title:
Superintegrable models related to near horizon extremal Myers-Perry
  black hole in arbitrary dimension

abstract:
  We provide a systematic account of integrability of the spherical mechanics
associated with the near horizon extremal Myers-Perry black hole in arbitrary
dimension for the special case that all rotation parameters are equal. The
integrability is established both in the original coordinates and in
action-angle variables. It is demonstrated that the spherical mechanics
associated with the black hole in d=2n+1 is maximally superintegrable, while
its counterpart related to the black hole in d=2n lacks for only one integral
of motion to be maximally superintegrable.


title: Randomness and lowness notions via open covers

abstract:
  One of the main lines of research in algorithmic randomness is that of
lowness notions. Given a randomness notion R, we ask for which sequences A does
relativization to A leave R unchanged (i.e., R^A = R)? Such sequences are call
low for R. This question extends to a pair of randomness notions R and S, where
S is weaker: for which A is S^A still weaker than R? In the last few years,
many results have characterized the sequences that are low for randomness by
their low computational strength. A few results have also given
measure-theoretic characterizations of low sequences. For example, Kjos-Hanssen
proved that A is low for Martin-L\"of randomness if and only if every A-c.e.
open set of measure less than 1 can be covered by a c.e. open set of measure
less than 1. In this paper, we give a series of results showing that a wide
variety of lowness notions can be expressed in a similar way, i.e., via the
ability to cover open sets of a certain type by open sets of some other type.
This provides a unified framework that clarifies the study of lowness for
randomness notions, and allows us to give simple proofs of a number of known
results. We also use this framework to prove new results, including showing
that the classes Low(MLR;SR) and Low(W2R;SR) coincide, answering a question of
Nies. Other applications include characterizations of highness notions, a
broadly applicable explanation for why low for randomness is the same as low
for tests, and a simple proof that Low(W2R;S)=Low(MLR;S), where S is the class
of Martin-L\"of, computable, or Schnorr random sequences. The final section
gives characterizations of lowness notions using summable functions and
convergent measure machines instead of open covers. We finish with a simple
proof of a result of Nies, that Low(MLR) = Low(MLR; CR).


title:
Molecular line emission from a protoplanetary disk irradiated externally
  by a nearby massive star

abstract:
  Star formation often occurs within or nearby stellar clusters. Irradiation by
nearby massive stars can photoevaporate protoplanetary disks around young stars
(so-called proplyds) which raises questions regarding the ability of planet
formation to take place in these environments. We investigate the
two-dimensional physical and chemical structure of a protoplanetary disk
surrounding a low-mass (T Tauri) star which is irradiated by a nearby massive
O-type star to determine the survivability and observability of molecules in
proplyds. Compared with an isolated star-disk system, the gas temperature
ranges from a factor of a few (in the disk midplane) to around two orders of
magnitude (in the disk surface) higher in the irradiated disk. Although the UV
flux in the outer disk, in particular, is several orders of magnitude higher,
the surface density of the disk is sufficient for effective shielding of the
disk midplane so that the disk remains predominantly molecular in nature. We
also find that non-volatile molecules, such as HCN and H2O, are able to freeze
out onto dust grains in the disk midplane so that the formation of icy
planetesimals, e.g., comets, may also be possible in proplyds. We have
calculated the molecular line emission from the disk assuming LTE and
determined that multiple transitions of atomic carbon, CO (and isotopologues,
13CO and C18O), HCO+, CN, and HCN may be observable with ALMA, allowing
characterization of the gas column density, temperature, and optical depth in
proplyds at the distance of Orion (~400 pc).


title: Integrability of the double pendulum -- the Ramis' question

abstract:
  In this short note we address the problem of integrability of a double
pendulum in the constant gravity field. We show its non-integrability using the
combination of algebraic and numerical approaches, namely we compute the
non-commuting generators of the monodromy group along a particular solution
obtained numerically.


title: Web Maps and Their Algebra

abstract:
  A map is an abstract visual representation of a region, taken from a given
space, usually designed for final human consumption. Traditional cartography
focuses on the mapping of Euclidean spaces by using some distance metric. In
this paper we aim at mapping the Web space by leveraging its relational nature.
We introduce a general mathematical framework for maps and an algebra and
discuss the feasibility of maps suitable for interpretation not only by humans
but also by machines.


title: Search for CP violation in D+ -> phi pi+ and Ds+ -> Ks pi+ decays

abstract:
  A search for CP violation in D+ -> phi pi+ decays is performed using data
collected in 2011 by the LHCb experiment corresponding to an integrated
luminosity of 1.0 fb^{-1} at a centre of mass energy of 7 TeV. The CP-violating
asymmetry is measured to be (-0.04+/-0.14+/-0.14)% for candidates with K-K+
mass within 20 MeV/c^{2} of the phi meson mass. A search for a CP-violating
asymmetry that varies across the phi mass region of the D+ -> K-K+pi+ Dalitz
plot is also performed, and no evidence for CP violation is found. In addition,
the CP asymmetry in the Ds+ -> Ks pi+ decay is measured to be
(0.61+/-0.83+/-0.14)%.


title: Most irreducible representations of the 3-string braid group

abstract:
  As the 3-string braid group B(3) and the modular group PSL(2,Z) are both of
wild representation type one cannot expect a full classification of all their
finite dimensional simple representations. Still, one can aim to describe
'most' irreducible representations by constructing for each d-dimensional
irreducible component X of the variety iss(n,B(3)) classifying the isomorphism
classes of semi-simple n-dimensional representations of B(3) an explicit
minimal etale rational map A^d --> X having a Zariski dense image. Such
rational dense parametrizations were obtained for all components when n < 12 in
\cite{arXiv:1003.1610v1}. The aim of the present paper is to establish such
parametrizations for all finite dimensions n.


title: The Large Connectivity Limit of the Anderson Model on Tree Graphs

abstract:
  We consider the Anderson localization problem on the infinite regular tree.
Within the localized phase, we derive a rigorous lower bound on the free energy
function recently introduced by Aizenman and Warzel. Using a finite volume
regularization, we also derive an upper bound on this free energy function.
This yields upper and lower bounds on the critical disorder such that all
states at a given energy become localized. These bounds are particularly useful
in the large connectivity limit where they match, confirming the early
predictions of Abou-Chacra, Anderson and Thouless.

categories: math.PR cond-mat.dis-nn cond-mat.stat-mech math-ph math.MP


title: Dynamics of Majorana States in a Topological Josephson Junction

abstract:
  Topological Josephson junctions carry 4pi-periodic bound states. A finite
bias applied to the junction limits the lifetime of the bound state by
dynamically coupling it to the continuum. Another characteristic time scale,
the phase adjustment time, is determined by the resistance of the circuit
"seen" by the junction. We show that the 4pi periodicity manifests itself by an
even-odd effect in Shapiro steps only if the phase adjustment time is shorter
than the lifetime of the bound state. The presence of a peak in the current
noise spectrum at half the Josephson frequency is a more robust manifestation
of the 4pi periodicity, as it persists for an arbitrarily long phase adjustment
time. We specify, in terms of the circuit parameters, the conditions necessary
for observing the manifestations of 4pi periodicity in the noise spectrum and
Shapiro step measurements.


title: Charge Carrier Transport in Disordered Polymers

abstract:
  General properties of charge carrier transport in disordered organic
materials are discussed. Spatial correlation between energies of transport
sites determines the form of the drift mobility field dependence. Particular
kind of spatial correlation in a disordered material depends on its nature.
Mobility field dependences have to be different in polar and nonpolar
materials. Different methods of mobility calculation from the shape of
photocurrent transient are analyzed. A widely used method is very sensitive to
the variation of the shape of the transient and sometimes produces results that
effectively masquerade the true dependence of the mobility on electric field or
trap concentration. Arguments in favor of the better, more reliable method are
suggested. Charge transport in materials containing charged traps is considered
without using the isolated trap approximation and this leads to qualitatively
different results. They indicate that the effect of charged traps can hardly be
responsible for experimentally observed transport properties of disordered
organic materials.


title:
Weighted estimation of the dependence function for an extreme-value
  distribution

abstract:
  Bivariate extreme-value distributions have been used in modeling extremes in
environmental sciences and risk management. An important issue is estimating
the dependence function, such as the Pickands dependence function. Some
estimators for the Pickands dependence function have been studied by assuming
that the marginals are known. Recently, Genest and Segers [Ann. Statist. 37
(2009) 2990-3022] derived the asymptotic distributions of those proposed
estimators with marginal distributions replaced by the empirical distributions.
In this article, we propose a class of weighted estimators including those of
Genest and Segers (2009) as special cases. We propose a jackknife empirical
likelihood method for constructing confidence intervals for the Pickands
dependence function, which avoids estimating the complicated asymptotic
variance. A simulation study demonstrates the effectiveness of our proposed
jackknife empirical likelihood method.


title: Webs and projective structures on a plane

abstract:
  We prove that there is a correspondence between projective structures defined
by torsion-free connections with skew-symmetric Ricci tensor and Veronese webs
on a plane. The correspondence is used to characterise the projective
structures in terms of second order ODEs.


title:
On the quantum-field description of many-particle Fermi systems with
  spontaneously broken symmetry

abstract:
  A quantum-field approach for describing many-particle Fermi systems at finite
temperatures and with spontaneously broken symmetry has been proposed. A
generalized model of self-consistent field (SCF), which allows one to describe
the states eligible for this system with various symmetries, is used as the
initial approximation. A perturbation theory has been developed, and a diagram
technique for temperature Green's functions (GFs) has been constructed. The
Dyson's equation for the self-energy and vertex parts has been deduced.


title: A detailed study of the high-mass clump interacting with the bubble N10

abstract:
  We performed a detailed study of the high-mass clump interacting with bubble
N10 based on the spectral lines $^{12}CO(3-2)$, $HCO^+(4-3)$, $N_2H^+(4-3)$ and
$CH_3OH(7(0,7)-6(0,6))$ and continuum emission data at 450 $\mu$m and 850
$\mu$m released on CADC and Spitzer data. Blue-shifted optically thick line
$^{12}CO (3-2)$ seems to indicate that the outer envelope of the high-mass
clump is still falling toward the center. Detection of $CH_3OH(7(0,7)-6(0,6))$
suggests that a hot core has formed around YSO N10-7. And position-velocity
diagram of $N_2H^+ (4-3)$ indicates the cold dense core of the clump has not
been destroyed by the star formation activities. The mass of N10-7 is about
27.44 $M_\odot$. The ratio $HCO^+(4-3)/N_2H^+ (4-3)$ in the outer part of the
clump is larger than that in the inner part of it. The reason may be that the
CO abundance relative to $N_2H^+ (4-3)$ increased in the outer part of the
high-mass clump, more $N_2H^+ (4-3)$ were converted into $HCO^+(4-3)$.


title:
Universality of the Berezinskii-Kosterlitz-Thouless type of phase
  transition in the dipolar XY-model

abstract:
  We investigate the nature of the phase transition occurring in a planar
XY-model spin system with dipole-dipole interactions. It is demonstrated that a
Berezinskii-Kosterlitz-Thouless (BKT) type of phase transition always takes
place at a finite temperature separating the ordered (ferro) and the disordered
(para) phases. The low-temperature phase corresponds to an ordered state with
thermal fluctuations, composed of a "gas" of bound vortex-antivortex pairs,
which would, when considered isolated, be characterized by a constant
vortex-antivortex attraction force which is due to the dipolar interaction term
in the Hamiltonian. Using a topological charge model, we show that small bound
pairs are easily polarized, and screen the vortex-antivortex interaction in
sufficiently large pairs. Screening changes the linear attraction potential of
vortices to a logarithmic one, and leads to the familiar pair dissociation
mechanism of the BKT type phase transition. The topological charge model is
confirmed by numerical simulations, in which we demonstrate that the transition
temperature slightly increases when compared with the BKT result for
short-range interactions.


title:
Uquantchem: A versatile and easy to use Quantum Chemistry Computational
  Software

abstract:
  In this paper we present the Uppsala Quantum Chemistry package (UQUANTCHEM),
a new and versatile computational platform with capabilities ranging from
simple Hartree-Fock calculations to state of the art First principles Extended
Lagrangian Born Oppenheimer Molecular Dynamics (XL- BOMD) and diffusion quantum
Monte Carlo (DMC). The UQUANTCHEM package is distributed under the general
public license and can be directly downloaded from the code web-site. Together
with a presentation of the different capabilities of the uquantchem code and a
more technical discus- sion on how these capabilities have been implemented, a
presentation of the user-friendly aspect of the package on the basis of the
large number of default settings will also be presented. Furthermore, since the
code has been parallelized within the framework of the message passing
interface (MPI), the timing of some benchmark calculations are reported to
illustrate how the code scales with the number of computational nodes for
different levels of chemical theory.


title: Power of Change-Point Tests for Long-Range Dependent Data

abstract:
  We investigate the power of the CUSUM test and the Wilcoxon change-point test
for a shift in the mean of a process with long-range dependent noise. We derive
analytiv formulas for the power of these tests under local alternatives. These
results enable us to calculate the asymptotic relative efficiency (ARE) of the
CUSUM test and the Wilcoxon change point test. We obtain the surprising result
that for Gaussian data, the ARE of these two tests equals 1, in contrast to the
case of i.i.d. noise when the ARE is known to be $3/\pi$.


title: Non-Markovian Models of Blocking in Concurrent and Countercurrent Flows

abstract:
  We investigate models in which blocking can interrupt a particulate flow
process at any time. Filtration, and flow in micro/nano-channels and traffic
flow are examples of such processes. We first consider concurrent flow models
where particles enter a channel randomly. If at any time two particles are
simultaneously present in the channel, failure occurs. The key quantities are
the survival probability and the distribution of the number of particles that
pass before failure. We then consider a counterflow model with two opposing
Poisson streams. There is no restriction on the number of particles passing in
the same direction, but blockage occurs if, at any time, two opposing particles
are simultaneously present in the passage.


title: Relaxation in N-body simulations of disk galaxies

abstract:
  I use N-body simulations with two mass species of particles to demonstrate
that disk galaxy simulations are subject to collisional relaxation at a higher
rate than is widely assumed. Relaxation affects the vertical thickness of the
disk most strongly, and drives the velocity ellipsoid to a moderately flattened
shape similar to that observed for disk stars in the solar neighborhood. The
velocity ellipsoid in simulations with small numbers of particles quickly
approaches this shape, but shot noise also dominates the in-plane behavior.
Simulations with higher, but reachable, numbers of particles relax slowly
enough to be considered collisionless, allowing the in-plane dispersions to
rise due to spiral activity without heating the vertical motions. Relaxation
may have affected many previously published simulations of the formation and
evolution of galaxy disks.


title:
The automorphism group of the doubly-even [72,36,16] code can only be of
  order 1, 3 or 5

abstract:
  We prove that a putative $[72,36,16]$ code is not the image of linear code
over $\ZZ_4$, $\FF_2 + u \FF_2$ or $\FF_2+v\FF_2$, thus proving that the
extremal doubly even $[72,36,16]$-binary code cannot have an automorphism group
containing a fixed point-free involution. Combining this with the previously
proved result by Bouyuklieva that such a code cannot have an automorphism group
containing an involution with fixed points, we conclude that the automorphism
group of the $[72,36,16]$-code cannot be of even order, leaving 3 and 5 as the
only possibilities.


title: Confinement in large N gauge theories

abstract:
  We report some recent results obtained for large N gauge theories which
support the idea of volume reduction. Results for the string tension of the
Twisted Eguchi-Kawai model match with those obtained from extrapolation from
finite N. Determination of other observables is currently under way.
Application of the twisted reduction idea to the case of 1 or 2 flavours of
quarks in the adjoint representation of the group offers promising results.
Preliminary results for the string tension point towards a very different
behaviour for 1 and 2 flavours. While the string tension remains finite for 1
flavour at the critical massless quark limit, it seems to vanish with a large
anomalous dimension for the $N_f=2$ case. This is consistent with the predicted
Infrared fixed point expected in the latter case.


title:
Spin-pumping and Enhanced Gilbert Damping in Thin Magnetic Insulator
  Films

abstract:
  Precessing magnetization in a thin film magnetic insulator pumps spins into
adjacent metals; however, this phenomenon is not quantitatively understood. We
present a theory for the dependence of spin-pumping on the transverse mode
number and in-plane wave vector. For long-wavelength spin waves, the enhanced
Gilbert damping for the transverse mode volume waves is twice that of the
macrospin mode, and for surface modes, the enhancement can be ten or more times
stronger. Spin-pumping is negligible for short-wavelength exchange spin waves.
We corroborate our analytical theory with numerical calculations in agreement
with recent experimental results.


title: On semigroups of nonnegative functions and positive operators

abstract:
  We give extensions of results on nonnegative matrix semigroups which deduce
finiteness or boundedness of such semigroups from the corresponding local
properties, e.g., from finiteness or boundedness of values of certain linear
functionals applied to them. We also consider more general semigroups of
functions.


title:
CellTV - on the Benefit of TV Distribution over Cellular Networks A Case
  Study

abstract:
  As mobile IP-access is becoming the dominant technology for providing
wireless services, the demand for more spectrum for this type of access is
increasing rapidly. Since IP-access can be used for all types of services,
instead of a plethora of dedicated, single-service systems, there is a
significant potential to make spectrum use more efficient. In this paper, the
feasibility and potential benefit of replacing the current terrestrial UHF TV
broadcasting system with a mobile, cellular data (IP-) network is analyzed. In
the cellular network, TV content would be provided as {one} of the services,
here referred to as CellTV. In the investigation we consider typical Swedish
rural and urban environments. We use different models for TV viewing patterns
and cellular technologies as expected in the year 2020. Results of the
quantitative analysis indicate that CellTV distribution can be beneficial if
the TV consumption trend goes towards more specialized programming, more local
contents, and more on-demand requests. Mobile cellular systems, with their
flexible unicast capabilities, will be an ideal platform to provide these
services. However, the results also demonstrate that CellTV is not a
spectrum-efficient replacement for terrestrial TV broadcasting with current
viewing patterns (i.e. a moderate number of channels with each a high numbers
of viewers). In this case, it is doubtful whether the expected spectrum savings
can motivate the necessary investments in upgrading cellular sites and
developing advanced TV receiver required for the success of CellTV
distribution.


title: Non-integer OAM beam shifts of Hermite-Laguerre-Gaussian beams

abstract:
  We have studied the effect of non-integer Orbital Angular Momentum (OAM) on
OAM enhanced beam shifts, for in-plane (Goos-Hanchen) and out-of-plane
(Imbert-Fedorov) shifts, using Hermite-Laguerre-Gaussian beams. Contrary to
naive expectation we find, theoretically and experimentally, that the
noninteger OAM beam shifts do not interpolate linearly between the integer OAM
beam shifts.


title:
Inference of RNA Polymerase II Transcription Dynamics from Chromatin
  Immunoprecipitation Time Course Data

abstract:
  Gene transcription mediated by RNA polymerase II (pol-II) is a key step in
gene expression. The dynamics of pol-II moving along the transcribed region
influence the rate and timing of gene expression. In this work we present a
probabilistic model of transcription dynamics which is fitted to pol-II
occupancy time course data measured using ChIP-Seq. The model can be used to
estimate transcription speed and to infer the temporal pol-II activity profile
at the gene promoter. Model parameters are estimated using either maximum
likelihood estimation or via Bayesian inference using Markov chain Monte Carlo
sampling. The Bayesian approach provides confidence intervals for parameter
estimates and allows the use of priors that capture domain knowledge, e.g. the
expected range of transcription speeds, based on previous experiments. The
model describes the movement of pol-II down the gene body and can be used to
identify the time of induction for transcriptionally engaged genes. By
clustering the inferred promoter activity time profiles, we are able to
determine which genes respond quickly to stimuli and group genes that share
activity profiles and may therefore be co-regulated. We apply our methodology
to biological data obtained using ChIP-seq to measure pol-II occupancy
genome-wide when MCF-7 human breast cancer cells are treated with estradiol
(E2). The transcription speeds we obtain agree with those obtained previously
for smaller numbers of genes with the advantage that our approach can be
applied genome-wide. We validate the biological significance of the pol-II
promoter activity clusters by investigating cluster-specific transcription
factor binding patterns and determining canonical pathway enrichment. We find
that rapidly induced genes are enriched for both estrogen receptor alpha
(ER$\alpha$) and FOXA1 binding in their proximal promoter regions.


title: Dispersive optical nonlinearities in an EIT-Rydberg medium

abstract:
  We investigate dispersive optical nonlinearities that arise from Rydberg
excitation blockade in cold Rydberg gases. We consider a two-photon transition
scheme and study the non-linear response to a weak optical probe in presence of
a strong control beam. For very low probe fields, the dominant nonlinearities
are of the third order and they can be exactly evaluated in a steady state
regime. In a more general case, the change in average atomic populations and
coherences due to Rydberg interactions can be characterized by properly defined
scaling parameters, which are generally complex numbers but in certain
situations take the usual meaning of the number of atoms in a blockade sphere.
They can be used in a simple "universal scaling" formula to determine the
dispersive optical nonlinearity of the medium. We also develop a novel
technique to account for the Rydberg interaction effects, by simplifying the
treatment of nonlocal interaction terms, the so-called collisional integrals.
We find algebraic relations that only involve two-body correlations, which can
be solved numerically. All average populations and coherences are then obtained
straightforwardly.


title: Parameter identification in large kinetic networks with BioPARKIN

abstract:
  Modelling, parameter identification, and simulation play an important role in
systems biology. Usually, the goal is to determine parameter values that
minimise the difference between experimental measurement values and model
predictions in a least-squares sense. Large-scale biological networks, however,
often suffer from missing data for parameter identification. Thus, the
least-squares problems are rank-deficient and solutions are not unique. Many
common optimisation methods ignore this detail because they do not take into
account the structure of the underlying inverse problem. These algorithms
simply return a "solution" without additional information on identifiability or
uniqueness. This can yield misleading results, especially if parameters are
co-regulated and data are noisy.


title: Spinorial R-matrix

abstract:
  R-matrix acting in the tensor product of two spinor representation spaces of
Lie algebra so(d) is considered thoroughly. Corresponding Yang-Baxter equation
is proved. The relation to the local Yang-Baxter relation is established.


title: Semilinear elliptic systems with measure data

abstract:
  We study the Dirichlet problem for systems of the form -\Delta
u^k=f^k(x,u)+\mu^k, x\in\Omega, k=1,...,n, where \Omega\subset R^d$ is an open
(possibly nonregular) bounded set, \mu^1,...,\mu^n are bounded diffuse measures
on \Omega, f=(f^1,...,f^n) satisfies some mild integrability condition and the
so-called angle condition. Using the methods of probabilistic Dirichlet forms
theory we show that the system has a unique solution in the generalized Sobolev
space i.e. space of functions having fine gradient. We provide also a
stochastic representation of the solution.


title:
STEREO observations of the energetic ions in tilted corotating
  interaction regions

abstract:
  In this paper we examine suprathermal He ions measured by the SIT
(Suprathermal Ion Telescope) instrument associated with tilted corotating
interaction regions (CIRs). We use observations of the two STEREO spacecraft
(s/c) for the first 2.7 years of the mission, along with ground-based
measurements of the solar magnetic field during the unusually long minimum of
Solar Cycle 23. Due to the unique configuration of the STEREO s/c orbits we are
able to investigate spatial variations in the intensity of the corotating ions
on time scales of less than one solar rotation. The observations reveal that
the occurrence of the strong CIR events was the most frequent at the beginning
of the period. The inclination of the heliospheric current sheet relative to
the heliographic equator (the tilt angle) was quite high in the first stage of
the mission and gradually flattened with the time, followed by a decrease in
the CIR activity. By examining the differences between measurements on the two
STEREO s/c we discuss how the changes in the position of the s/c relative to
the CIRs affect the energetic particle observations. We combine STEREO
observations with observations from the ULEIS instrument on the ACE s/c and
argue that the main factor which controls the differences in the ion
intensities is the latitudinal separation between the two STEREO s/c relative
to the tilted CIRs. The position of the s/c is less important when the tilt
angle is high. In this case we found that the CIR ion intensity positively
correlates with the tilt angle.


title:
Genetic Design of Enhanced Valley Splitting towards a Spin Qubit in
  Silicon

abstract:
  Electronic spins in Silicon (Si) are rising contenders for qubits -- the
logical unit of quantum computation-- owing to its outstanding spin coherence
properties and compatibility to standard electronics. A remarkable limitation
for spin quantum computing in Si hosts is the orbital degeneracy of this
material's conduction band, preventing the spin-1/2 states from being an
isolated two-level system. So far available samples of Si quantum wells cladded
by Ge-Si alloy barriers provide relatively small valley splitting (VS), with
the order of 1 meV or less, degrading the fidelity of qubits encoded in spin
"up" and "down" states in Si. Here, based on an atomically resolved
pseudopotential theory, we demonstrate that ordered Ge-Si layered barriers
confining a Si slab can be harnessed to enhance the VS in the active Si region
by up to one order of magnitude compared to the random alloy barriers adopted
so far. A biologically inspired genetic-algorithm search is employed to
identify magic Ge/Si layer sequences of the superlattice barriers that isolate
the electron ground state in a single valley composition with VS as large as ~9
meV. The enhanced VS is preserved with the reasonable inter-layer mixing
between different species, and is interestingly "protected" even if some larger
mixing occurs. Implementation of the optimized layer sequences of barriers,
within reach of modern superlattice growth techniques, overcomes in a practical
systematic way the main current limitations related to the orbital degeneracy,
thus providing a roadmap for reliable spin-only quantum computing in Si.


title:
Non-linear swept frequency technique for CO2 measurements using a CW
  laser system

abstract:
  A system using a non-linear multi-swept sine wave system is described which
employs a multi-channel, multi-swept orthogonal waves, to separate channels and
make multiple, simultaneous online/offline CO2 measurements. An analytic
expression and systematic method for determining the orthogonal frequencies for
the unswept, linear swept and non-linear swept cases is presented. It is shown
that one may reduce sidelobes of the autocorrelation function while preserving
cross channel orthogonality, for thin cloud rejection.


title:
Discovery of a 34 Hz Quasi-Periodic Oscillation in the X-ray emission of
  GRS 1915+105

abstract:
  We report the discovery in the Rossi X-Ray Timing Explorer data of GRS
1915+105 of a second quasi-periodic oscillation at 34 Hz, simultaneous with
that observed at 68 Hz in the same observation. The data corresponded to those
observations from 2003 where the 68-Hz oscillation was very strong. The
significance of the detection is 4.2 sigma. These observations correspond to a
very specific position in the colour-colour diagram for GRS 1915+105,
corresponding to a harder spectrum compared to those where a 41 Hz oscillation
was discovered. We discuss the possible implications of the new pair of
frequencies comparing them with the existing theoretical models.


title: G-links invariants, Markov traces and the semi-cyclic Uqsl2-modules

abstract:
  Kashaev and Reshetikhin proposed a generalization of the Reshetikhin-Turaev
link invariant construction to tangles with a flat connection in a principal
G-bundle over the complement of the tangle. The purpose of this paper is to
adapt and renormalize their construction to define invariants of G-links using
the semi-cyclic representations of the non-restricted quantum group associated
to sl2, defined by De Concini and Kac. Our construction uses a modified Markov
trace. In our main example, the semi-cyclic invariants are a natural extension
of the generalized Alexander polynomial invariants defined by Akutsu, Deguchi,
and Ohtsuki. Surprisingly, direct computations suggest that these invariants
are actually equal.


title:
Magnetic field-induced giant enhancement of electron-phonon energy
  transfer in strongly disordered conductors

abstract:
  Relaxation of soft modes (e.g. charge density in gated semiconductor
heterostructures, spin density in the presence of magnetic field) slowed down
by disorder may lead to giant enhancement of energy transfer (cooling power)
between overheated electrons and phonons at low bath temperature. We show that
in strongly disordered systems with time-reversal symmetry broken by external
or intrinsic exchange magnetic field the cooling power can be greatly enhanced.
The enhancement factor as large as $10^{2}$ at magnetic field $B \sim 10$ Tesla
in 2D {\rm InSb} films is predicted. A similar enhancement is found for the
ultrasound attenuation.


title:
Nonunitary geometric phases: a qubit coupled to an environment with
  random noise

abstract:
  We describe the decoherence process induced on a two-level quantum system in
direct interaction with a non-equilibrium environment. The non-equilibrium
feature is represented by a non-stationary random function corresponding to the
fluctuating transition frequency between two quantum states coupled to the
surroundings. In this framework, we compute the decoherence factors which have
a characteristic "dip" related to the initial phases of the bath modes. We
therefore study different types of environments, namely ohmic and supra-ohmic.
These environments present different decoherence time-scales than the thermal
environment we used to study. As a consequence, we compute analytically and
numerically the non-unitary geometric phase for the qubit in a quasi-cyclic
evolution under the presence of these particular non-equilibrium environments.
We show in which cases decoherence effects could, in principle, be controlled
in order to perform a measurement of the geometric phase using standard
procedures.


title: A note on the projection of the diagonal subvariety

abstract:
  The diagonal subvariety on a product of two CM elliptic curves, is presented
as an example of a dimension one subvariety, that is pre-periodic only if the
respective projection on the product of two projective lines is also
pre-periodic.


title:
Equivalence Relations for the Classical Capacity of Single-Mode Gaussian
  Quantum channels

abstract:
  We prove the equivalence of an arbitrary single-mode Gaussian quantum channel
and a newly defined fiducial channel preceded by a phase shift and followed by
a Gaussian unitary operation. This equivalence implies that the
energy-constrained classical capacity of any single-mode Gaussian channel can
be calculated based on this fiducial channel, which is furthermore simply
realizable with a beam splitter, two identical single-mode squeezers, and a
two-mode squeezer. In a large domain of parameters, we also provide an
analytical expression for the Gaussian classical capacity, exploiting its
additivity, and prove that the classical capacity cannot exceed it by more than
1/ln2 bits.


title: Geometry of four-folds with three non-commuting involutions

abstract:
  In this paper we adapt some techniques developed for K3 surfaces, to study
the geometry of a family of projective varieties in $\Pl_K^2 \times \Pl_K^2
\times \Pl_K^2$ defined as the intersection of a form of degree $(2,2,2)$ and a
form of degree $(1,1,1)$. Members of the family will be equipped with dominant
rational self-maps and we will study the actions of those maps on divisors and
compute the first dynamical degrees of the composition of any pair.


title: Un sch\'ema simplicial de Grothendieck-Pridham

abstract:
  Pridham has shown that any Artin $n$-stack $M$ has a presentation as a
simplicial scheme $X$ satisfying certain smoothness properties originally
introduced by Grothendieck. In the previous paper we introduced an Artin
$n$-stack $M$ of Maurer-Cartan elements of a dg-category and constructed a
chart, and have already proven the first conditions of smoothness of
$X_1\rightarrow X_0$ explicitly. In this paper, we will construct explicitly
the full simplicial scheme and show the Grothendieck-Pridham smoothness
conditions, implying that $M$ is a geometric $n$-stack.


title: A Novel Algorithm for Linear Programming

abstract:
  The problem of optimizing a linear objective function,given a number of
linear constraints has been a long standing problem ever since the times of
Kantorovich, Dantzig and von Neuman. These developments have been followed by a
different approach pioneered by Khachiyan and Karmarkar.
  In this paper we present an entirely new method for solving an old
optimization problem in a novel manner, a technique that reduces the dimension
of the problem step by step and interestingly is recursive. A theorem which
proves the correctness of the approach is given.
  The method can be extended to other types of optimization problems in convex
space, e.g. for solving a linear optimization problem subject to nonlinear
constraints in a convex region.


title: Knot contact homology and representations of knot groups

abstract:
  We study certain linear representations of the knot group that induce
augmentations of knot contact homology. This perspective on augmentations
enhances our understanding of the relationship between the augmentation
polynomial and the A-polynomial of the knot. For example, we show that for
2-bridge knots the polynomials agree and that this is never the case for
(non-2-bridge) torus knots, nor for a family of 3-bridge pretzel knots. In
addition, we obtain a lower bound on the meridional rank of the knot. As a
consequence, our results give another proof that torus knots and a family of
pretzel knots have meridional rank equal to their bridge number.


title:
Anomalous D'yakonov-Perel' spin relaxation in semiconductor quantum
  wells under strong magnetic field in Voigt configuration

abstract:
  We report an anomalous scaling of the D'yakonov-Perel' spin relaxation with
the momentum relaxation in semiconductor quantum wells under a strong magnetic
field in the Voigt configuration. We focus on the case that the external
magnetic field is perpendicular to the spin-orbit-coupling--induced effective
magnetic field and its magnitude is much larger than the later one. It is found
that the longitudinal spin relaxation time is proportional to the momentum
relaxation time even in the strong scattering limit, indicating that the
D'yakonov-Perel' spin relaxation shows the Elliott-Yafet-like behaviour.
Moreover, the transverse spin relaxation time is inversely proportional
(proportional) to the momentum relaxation time in the weak (strong) scattering
limit, both in the opposite trends against the well-established conventional
D'yakonov-Perel' spin relaxation behaviours. We further demonstrate that all
the above anomalous scaling relations come from the unique form of the
effective inhomogeneous broadening.


title: Libsharp - spherical harmonic transforms revisited

abstract:
  We present libsharp, a code library for spherical harmonic transforms (SHTs),
which evolved from the libpsht library, addressing several of its shortcomings,
such as adding MPI support for distributed memory systems and SHTs of fields
with arbitrary spin, but also supporting new developments in CPU instruction
sets like the Advanced Vector Extensions (AVX) or fused multiply-accumulate
(FMA) instructions. The library is implemented in portable C99 and provides an
interface that can be easily accessed from other programming languages such as
C++, Fortran, Python etc. Generally, libsharp's performance is at least on par
with that of its predecessor; however, significant improvements were made to
the algorithms for scalar SHTs, which are roughly twice as fast when using the
same CPU capabilities. The library is available at
http://sourceforge.net/projects/libsharp/ under the terms of the GNU General
Public License.


title:
Aharonov-Bohm effect and giant magnetoresistance in graphene nanoribbon
  rings

abstract:
  We report a numerical study on Aharonov-Bohm (AB) effect and giant
magnetoresistance in rectangular rings made of graphene nanoribbons (GNRs). We
show that in low energy regime where only the first subband of contact GNRs
contributes to the transport, the transmission probability can be strongly
modulated, i.e., almost fully suppressed, when tuning a perpendicular magnetic
field. On this basis, strong AB oscillations with giant negative
magnetoresistance can be achieved at room temperature. The magnetoresistance
reaches thousands % in perfect GNR rings and a few hundred % with edge
disordered GNRs. The design rules to observe such strong effects are also
discussed. Our study hence provides guidelines for further investigations of
the AB interference and to obtain high magnetoresistance in graphene devices.


title:
Kapitza homogenization of deep gratings for designing dielectric
  metamaterials

abstract:
  We theoretically investigate the homogenization of the dielectric response to
transverse electric waves of a transverse grating characterized by the Kapitza
condition, i.e. the permittivity is rapidly modulated with a modulation depth
scaling as the large wavelength to modulation period ratio. We show that the
resulting effective dielectric permittivity, in addition to the standard
average of the underlying dielectric profile, has a further contribution
arising from the fast and deep dielectric modulation. Such contribution turns
out to be comparable with the other one and hence can provide an additional way
for designing dielectric metamaterials. As an example, we discuss an effective
metal-to-dielectric transition produced by the Kapitza contribution obtained by
changing the grating depth.


title:
Acoustic characteristics of FeSe single crystals Acoustic
  characteristics of FeSe single crystals

abstract:
  The results of the comprehensive ultrasonic research of high quality single
crystals of FeSe are presented. Absolute values of sound velocities and their
temperature dependences were measured; elastic constants and Debye temperature
were calculated. The elastic C11-C12 and C11 constants undergo significant
softening under the structural tetra-ortho transformation. The significant
influence of the superconducting transition on the velocity and attenuation of
sound was revealed and the value of the superconducting energy gap was
estimated.


title: FreeIMU: An Open Hardware Framework for Orientation and Motion Sensing

abstract:
  Orientation and Motion Sensing are widely implemented on various consumer
products, such as mobile phones, tablets and cameras as they enable immediate
interaction with virtual information. The prototyping phase of any orientation
and motion sensing capable device is however a quite difficult process as it
may involve complex hardware designing, math algorithms and programming.
  In this paper, we present FreeIMU, an Open Hardware Framework for prototyping
orientation and motion sensing capable devices. The framework consists in a
small circuit board containing various sensors and a software library, built on
top of the Arduino platform. Both the hardware and library are released under
open licences and supported by an active community allowing to be implemented
into research and commercial projects.


title:
Optical Properties of Iron Silicates in the Infrared to Millimeter as a
  Function of Temperatures and Wavelength

abstract:
  The Optical Properties of Astronomical Silicates with Infrared Techniques
(OPASI-T) program utilizes multiple instruments to provide spectral data over a
wide range of temperature and wavelengths. Experimental methods include Vector
Network Analyzer (VNA) and Fourier Transform Spectroscopy (FTS) transmission,
and reflection/scattering measurements. From this data, we can determine the
optical parameters for the index of refraction, \textit{n}, and the absorption
coefficient, \textit{k}. The analysis of the laboratory transmittance data for
each sample type is based upon different mathematical models, which are applied
to each data set according to their degree of coherence. Presented here are
results from iron silicate dust grain analogs, in several sample preparations
and at temperatures ranging from 5--300 K, across the infrared and millimeter
portion of the spectrum (from 2.5--10,000 \mic\ or 4,000--1 \wvn).


title: Diffusion in networks with time-dependent transmission conditions

abstract:
  We study diffusion in a network which is governed by non-autonomous Kirchhoff
conditions at the vertices of the graph. Also the diffusion coefficients may
depend on time. We prove at first a result on existence and uniqueness using
form methods. Our main results concern the long-term behavior of the solution.
In the case when the conductivity and the diffusion coefficients match (so that
mass is conserved) we show that the solution converges exponentially fast to an
equilibrium. We also show convergence to a special solution in some other
cases.


title: Relativistic path integral and relativistic Hamiltonians in QCD and QED

abstract:
  The proper-time 4d path integral is used as a starting point to derive the
new explicit parametric form of the quark-antiquark Green's function in gluonic
and QED fields, entering as a common Wilson loop. The subsequent vacuum
averaging of the latter allows to derive the instantaneous Hamiltonian. The
explicit form and solutions are given in the case of the $q\bar q$ mesons in
magnetic field.


title:
Simulation of a Time-Of-Flight Telescope for Suprathermal Ions in the
  Heliosphere

abstract:
  A Monte Carlo code based on Geant 3.21 has been used for simulations of
energy losses and angular scattering in a time-of-flight Suprathermal Ion
Telescope (SIT) on the Solar-Terrestrial Relations Observatory (STEREO). A
hemispherical isotropic particle distribution, a monoenergetic or power law in
energy is used in these simulations. The impact of scattering, energy losses
and system noise on the instrument mass resolution is discussed.


title:
Disorder-induced significant enhancement in magnetization of ball-milled
  Fe2CrGa alloy

abstract:
  A new disordered atom configuration in Fe2CrGa alloy has been created by
ball-milling method. This leads to a significant enhancement of the magnetic
moment up to 3.2~3.9 {\mu}B and an increase of Curie temperature by about 200
K, compared with the arc-melt samples. Combination of first-principles
calculations and experimental results reveals that Fe2CrGa alloy should
crystallize in Hg2CuTi based structure with different atomic disorders for the
samples prepared by different methods. It is addressed that magnetic
interactions play a crucial role for the system to adopt such an atomic
configuration which disobeys the empirical rule.


title: Mn-doping induced magnetic properties in Co2CrO4 system

abstract:
  Abundant phenomena in CoCr2-xMnxO4 (x = 0 ~ 2) samples such as magnetic
compensation, magnetostriction and exchange bias effect have been observed and
investigated in this work. A structure transition from cubic to tetragonal
symmetry has been found in the samples with x around 1.4. It has shown that the
doped Mn3+ ions initially occupy the A (Co) sites when x < 0.2, and then mainly
take the B1 (Cr) sites. This behavior results in a role conversion of magnetic
contributors, and thus a magnetic compensation between two competitively
magnetic sublattices at the composition near x = 0.5. Furthermore, temperature
compensation has also been found in the samples with x = 0.5 and 0.6, with the
compensation temperature in the range of 45 ~ 75 K. The Mn-doping also changes
the frustration degree and modulates the exchange interaction in this system,
and thus prevents the formation of long range conical order of spins.
Therefore, the magnetoelectric transition temperature at 23 K in CoCr2O4 is
shifted to lower temperature with increased dopants. The magnetostriction
effect in this Cobalt spinel system has been considered for the first time. The
strain has a maximum value of about 240 ppm at x = 0.2 and shows the similar
tendency as the compensation behaviors. Additionally, the exchange bias effect
observed in the samples with x < 0.5 shows a negative value under low cooling
field for x = 0.5.


title: Performance of the stochastic MV-PURE estimator in highly noisy settings

abstract:
  The stochastic MV-PURE estimator has been developed to provide linear
estimation robust to ill-conditioning, high noise levels, and imperfections in
model knowledge. In this paper, we investigate the theoretical performance of
the stochastic MV-PURE estimator under varying level of additive noise. More
precisely, we prove that the mean-square-error (MSE) of this estimator in the
low signal-to-noise (SNR) region is much smaller than that obtained with its
full-rank version, the minimum-variance distortionless estimator, and that the
gap in performance is the larger the higher the noise level. These results shed
light on the excellent performance of the stochastic MV-PURE estimator in
highly noisy settings obtained in simulations so far. We extend here previously
conducted numerical simulations to demonstrate a new insight provided by
results of this paper in practical applications.


title: The M\"obius function and distal flows

abstract:
  We prove that the M\"{o}bius function is linearly disjoint from an analytic
skew product on the $2$-torus. These flows are distal and can be irregular in
the sense that their ergodic averages need not exist for all points. The
previous cases for which such disjointness has been proved are all regular. We
also establish the linear disjointness of M\"{o}bius from various distal
homogeneous flows.


title: Reduced Massive Gravity with Two St\"uckelberg Fields

abstract:
  We consider the non-linear massive gravity as a theory of a number of
St\"uckelberg scalar fields minimally coupled to the Einstein-Hilbert gravity
and argue that the counting of degrees of freedom can be done for scalar theory
and gravity separately. In this paper we investigate the system with only two
St\"uckelberg scalar fields. In this case we find the analytic expression for
the determinant of the kinetic matrix of the scalar field Lagrangian and
perform the full constraint analysis. In 1+1 space-time dimensions the theory
corresponds to the full non-linear massive gravity, and this determinant
vanishes identically. In this case we find two first-class constraints, and
present the corresponding gauge symmetry of the theory which eliminates both
scalar degrees of freedom. In 3+1 dimensions the determinant of the kinetic
matrix does not vanish identically and, for generic initial conditions, both
scalar fields are propagating.


title:
Analytic solution of a model of language competition with bilingualism
  and interlinguistic similarity

abstract:
  An in-depth analytic study of a model of language dynamics is presented: a
model which tackles the problem of the coexistence of two languages within a
closed community of speakers taking into account bilingualism and incorporating
a parameter to measure the distance between languages. After previous numerical
simulations, the model yielded that coexistence might lead to survival of both
languages within monolingual speakers along with a bilingual community or to
extinction of the weakest tongue depending on different parameters. In this
paper, such study is closed with thorough analytical calculations to settle the
results in a robust way and previous results are refined with some
modifications. From the present analysis it is possible to almost completely
assay the number and nature of the equilibrium points of the model, which
depend on its parameters, as well as to build a phase space based on them.
Also, we obtain conclusions on the way the languages evolve with time. Our
rigorous considerations also suggest ways to further improve the model and
facilitate the comparison of its consequences with those from other approaches
or with real data.


title: Equivalence of differential equations of order one

abstract:
  The notions of equivalence and strict equivalence for order one differential
equations are introduced. The more explicit notion of strict equivalence is
applied to examples and questions concerning autonomous equations and equations
having the Painleve property. The order one equation determines an algebraic
curve. If this curve has genus zero or one, then it is difficult to verify
strict equivalence. However, for higher genus strict equivalence can be tested
by an algorithm sketched in the text. For autonomous equations, testing strict
equivalence and the existence of algebraic solutions are shown to be
algorithmic.


title: Localization Method for Volume of Domain-Wall Moduli Spaces

abstract:
  Volume of moduli space of non-Abelian BPS domain-walls is exactly obtained in
U(N_c) gauge theory with N_f matters. The volume of the moduli space is
formulated, without an explicit metric, by a path integral under constraints on
BPS equations. The path integral over fields reduces to a finite dimensional
contour integral by a localization mechanism. Our volume formula satisfies a
Seiberg like duality between moduli spaces of the U(N_c) and U(N_f-N_c)
non-Abelian BPS domain-walls in a strong coupling region. We also find a
T-duality between domain-walls and vortices on a cylinder. The moduli space
volume of non-Abelian local (N_c=N_f) vortices on the cylinder agrees exactly
with that on a sphere. The volume formula reveals various geometrical
properties of the moduli space.


title:
Secondary lepton distributions as a probe of the top--higgs coupling at
  the LHC

abstract:
  The differential distributions in rapidity and angles of the secondary lepton
in the associated production of the top quark pair and higgs boson in
proton-proton collisions at the LHC are quite sensitive to the top-higgs
coupling. However, the effects of anomalous couplings of the most general t
anti-t h interaction with operators of dimension-six that are clearly visible
in the signal of the associated production of the top quark pair and higgs
boson are to large extent obscured by the background sub-processes with the
same final state. This means that analyses of such effects, in addition to
higher order corrections that are usually calculated for the on-shell top
quarks and higgs boson, should include their decays and possibly complete off
resonance background contributions to the corresponding exclusive reactions.


title: Age and metallicity gradients in fossil ellipticals

abstract:
  Fossil galaxy groups are speculated to be old and highly evolved systems of
galaxies that formed early in the universe and had enough time to deplete their
$L^{*}$ galaxies through successive mergers of member galaxies, building up one
massive central elliptical, but retaining the group X-ray halo. Considering
that fossils are the remnants of mergers in ordinary groups, the merger history
of the progenitor group is expected to be imprinted in the fossil central
galaxy (FCG). We present for the first time radial gradients of single-stellar
population (SSP) ages and metallicites in a sample of FCGs to constrain their
formation scenario. Our sample comprises some of the most massive galaxies in
the universe exhibiting an average central velocity dispersion of
$\sigma_0=271\pm28$ km s$^{-1}$. Metallicity gradients are throughout negative
with comparatively flat slopes of $\nabla_{[\rm{Fe/H}]}=- 0.19\pm0.08$ while
age gradients are found to be insignificant ($\nabla_{\rm{age}}=0.00\pm0.05$).
All FCGs lie on the fundamental plane, suggesting that they are virialised
systems. We find that gradient strengths and central metallicities are similar
to those found in cluster ellipticals of similar mass. The comparatively flat
metallicity gradients with respect to those predicted by monolithic collapse
($\nabla_{Z}=-0.5$) suggest that fossils are indeed the result of multiple
major mergers. Hence we conclude that fossils are not 'failed groups' that
formed with a top heavy luminosity function. The low scatter of gradient slopes
suggests a similar merging history for all galaxies in our sample.


title: Effects of New Viscosity Model on Cosmological Evolution

abstract:
  Bulk viscosity has been intrinsically existing in the observational cosmos
evolution with various effects for different cosmological evolution stages
endowed with complicated cosmic media. Normally in the idealized "standard
cosmology" the physical viscosity effect is often negligent in some extent by
assumptions, except for galaxies formation and evolution or the like
astrophysics phenomena. Actually we have not fully understood the physical
origin and effects of cosmic viscosity, including its functions for the
universe evolution in reality. In this present article we extend the concept of
temperature-dependent viscosity from classical statistical physics to
observational cosmology, especially we examine the cosmological effects with
possibility of the existence for two kinds of viscosity forms, which are
described by the Chapman's relation and Sutherland's formula respectively. By
considering that a modification of standard model with viscosity named as
$\Lambda$CDM-V model is constructed, which is supported by data fitting. In
addition to the enhancement to cosmic age value, the $\Lambda$CDM-V model
possesses other two pleasing features: the prediction about the
no-rip/singularity future and the mechanism of smooth transition from imperfect
cosmological models to perfect ones.


title:
Some aspects of entropic gravity in the presence of a noncommutative
  Schwarzschild-deSitter black hole

abstract:
  We study some features of entropic force approach in the presence of a
noncommutative Schwarzschild-deSitter black hole. In this setup, there exists a
similarity between the small and large scales. There are two finite cut-off in
very short and long distances wherein the force and energy graph stop abruptly
at those scales. We find that the existence of a deSitter core around the
origin, induced by noncommutativity, in addition to a standard deSitter
background at large scale may lead to a violation of the equivalence principle.
Finally in order to directly observe the finite cut-off at short-scale gravity,
caused by noncommutativity quantum fluctuations, we derive an effective
gravitational constant.


title: Automorphisms of groups and converse of Schur's theorem

abstract:
  An automorphism of a group G is called an IA-automorphism if it induces the
identity automorphism on the abelianized group G/G'. Let IA(G) denote the group
of all IA-automorphisms of G. We classify all finitely generated nilpotent
groups G of class 2 for which IA(G) is isomorphic to Inn(G). In particular, we
classify all finite nilpotent groups of class 2 for which each IA-automorphism
is inner. As consequences, we give surprisingly very easy proofs of converse of
Schur's theorem and also prove some other related results.


title: Production of $J/\Psi$ on the nucleon and deuteron targets

abstract:
  A coupled-channel model with $\pi N$, $\rho N$ and $J/\Psi N$ channels is
developed to predict the $\pi + N \rightarrow J/\Psi + N $ cross sections. The
$J/\Psi$-$N$ interaction is parameterized in a form related to what has been
predicted by the effective field theory approach and Lattice QCD. The other
interactions within the model are constrained by the decay width of $J/\Psi
\rightarrow \rho + \pi$ and the total cross section data of $\pi N$ reactions.
The calculated meson-baryon amplitudes are then used to predict the cross
sections of the $J/\Psi$ production on the deuteron target by including the
contributions from the impulse term and the one-loop calculations of the final
$NN$ and $J/\Psi N$ re-scattering effects. Predictions of the dependence of the
cross sections of $\pi^- + p \rightarrow J/\Psi+ n$, $\gamma + d \rightarrow
J/\Psi + n + p$, and $\pi^+ d \rightarrow J/\Psi +p +p$ on the $J/\Psi$-$N$
potentials are presented for experimental determinations of the $J/\Psi$-$N$
interaction. Within the vector meson dominance model, we have also applied the
constructed coupled-channel model to predict the $\gamma + p\rightarrow J/\Psi
+ p$ cross sections near the $J/\Psi$ production threshold.


title: On multipliers on compact Lie groups

abstract:
  In this note we announce Lp multiplier theorems for invariant and
non-invariant operators on compact Lie groups in the spirit of the well-known
Hormander-Mikhlin theorem on Rn and its variants on tori Tn. Applications are
given to the mapping properties of pseudo-differential operators on Lp-spaces
and to a-priori estimates for non-hypoelliptic operators.


title: Computation of the Travelling Salesman Problem by a Shrinking Blob

abstract:
  The Travelling Salesman Problem (TSP) is a well known and challenging
combinatorial optimisation problem. Its computational intractability has
attracted a number of heuristic approaches to generate satisfactory, if not
optimal, candidate solutions. In this paper we demonstrate a simple
unconventional computation method to approximate the Euclidean TSP using a
virtual material approach. The morphological adaptation behaviour of the
material emerges from the low-level interactions of a population of particles
moving within a diffusive lattice. A `blob' of this material is placed over a
set of data points projected into the lattice, representing TSP city locations,
and the blob is reduced in size over time. As the blob shrinks it
morphologically adapts to the configuration of the cities. The shrinkage
process automatically stops when the blob no longer completely covers all
cities. By manually tracing the perimeter of the blob a path between cities is
elicited corresponding to a TSP tour. Over 6 runs on 20 randomly generated
datasets of 20 cities this simple and unguided method found tours with a mean
best tour length of 1.04, mean average tour length of 1.07 and mean worst tour
length of 1.09 when expressed as a fraction of the minimal tour computed by an
exact TSP solver. We examine the insertion mechanism by which the blob
constructs a tour, note some properties and limitations of its performance, and
discuss the relationship between the blob TSP and proximity graphs which group
points on the plane. The method is notable for its simplicity and the spatially
represented mechanical mode of its operation. We discuss similarities between
this method and previously suggested models of human performance on the TSP and
suggest possibilities for further improvement.


title:
On the Behavior of RObust Header Compression U-mode in Channels with
  Memory

abstract:
  The existing studies of RObust Header Compression (ROHC) have provided some
understanding for memoryless channel, but the behavior of ROHC for correlated
wireless channels is not well investigated in spite of its practical
importance. In this paper, the dependence of ROHC against its design parameters
for the Gilbert Elliot channel is studied by means of three analytical models.
A first more elaborated approach accurately predicts the behavior of the
protocol for the single RTP flow profile, while a simpler, analytically
tractable model yields clear and insightful mathematical relationships that
explain the qualitative trends of ROHC. The results are validated against a
real world implementation of this protocol. Moreover, a third model studies
also the less conventional yet practically relevant setting of multiple RTP
flows.


title:
A characterization of graphs with 3-coverings and the evaluation of the
  3-covering energy of star graphs with m rays of length 2

abstract:
  The smallest set Q of vertices of a graph G, such that every path on 3
vertices, has at least one vertex in Q, is a minimum 3-covering of G. By
attaching loops of weight 1 to the vertices of G we can find the eigenvalues
associated with G, and hence the minimum 3-covering energy of G. In this paper
we characterize graphs with 3-coverings in terms of non-Q-covered edges, and we
determine the minimum 3-covering energy of a star graph with m rays each of
length 2.


title: On left democracy function

abstract:
  We continue the study undertaken in \cite{GHN} of left democracy function
$h_l(N)=\inf_{#\Lambda=N}\left\|\sum_{n\in \Lambda_N} x_n\right\| $ of an
unconditional basis in a Banach space $X$. We provide an example of a basis
with $h_l$ non-doubling. Then we show that for bases with non-doubling $h_l$
the greedy projection is not optimal. Together with results from \cite{GHN} and
improved by C. Cabrelli, G. Garrig\'os, E. Hernandez and U. Molter we get that
the basis is greedy if and only if the greedy projection is optimal.


title:
A Consistency Relation for Single-Field Inflation with Power Spectrum
  Oscillations

abstract:
  We derive a theoretical upper bound on the oscillation frequency in the
scalar perturbation power spectrum of single-field inflation. Oscillations are
most naturally produced by modified vacua with varying phase. When this phase
changes rapidly, it induces strong interactions between the scalar
fluctuations. If the interactions are sufficiently strong the theory cannot be
evaluated using perturbation theory, hence imposing a limit on the oscillation
frequency. This complements the bound found by Weinberg governing the validity
of effective field theory. The generalized consistency relation also allows one
to use squeezed configurations of higher-point correlations to place
constraints on the power spectrum oscillations.


title: Antenna Showers with One-Loop Matrix Elements

abstract:
  We consider the probability for a colour-singlet qqbar pair to emit a gluon,
in strongly and smoothly ordered antenna showers. We expand to second order in
alphaS and compare to the second-order QCD matrix elements for Z -> 3 jets,
neglecting terms suppressed by 1/NC^2. We give a prescription that corrects the
shower to the matrix-element result at this order for both soft and hard
emissions, thereby explicitly reducing its dependence on evolution- and
renormalization-scale choices. We confirm that the choice of pT for both of
these scales absorbs all logarithms through order alphaS^2, and contrast this
with various alternatives. We include these corrections in the VINCIA shower
generator and study the impact on LEP event-shape and fragmentation
observables. An uncertainty estimate is provided for each event, in the form of
a vector of alternative weights.


title:
A Brunn-Minkowski type inequality for Fano manifolds and some uniqueness
  theorems in K\"ahler geometry

abstract:
  For $\phi$ a metric on the anticanonical bundle, $-K_X$, of a Fano manifold
$X$ we consider the volume of $X$ $$ \int_X e^{-\phi}. $$ We prove that the
logarithm of the volume is concave along bounded geodesics in the space of
positively curved metrics on $-K_X$ and that the concavity is strict unless the
geodesic comes from the flow of a holomorphic vector field on $X$. As a
consequence we get a simplified proof of the Bando-Mabuchi uniqueness theorem
for K\"ahler - Einstein metrics. A generalization of this theorem to 'twisted'
K\"ahler-Einstein metrics and some classes of manifolds that satisfy weaker
hypotheses than being Fano is also given. We moreover discuss a generalization
of the main result to other bundles than $-K_X$, and finally use the same
method to give a new proof of the theorem of Tian and Zhu of uniqueness of
K\"ahler-Ricci solitons. This is an expanded version of an earlier preprint, "A
Brunn-Minkowski type inequality for Fano manifolds and the Bando-Mabuchi
uniqueness theorem", arXiv:1103.0923


title: Time-Continuous Bell Measurements

abstract:
  We combine the concept of Bell measurements, in which two systems are
projected into a maximally entangled state, with the concept of continuous
measurements, which concerns the evolution of a continuously monitored quantum
system. For such time-continuous Bell measurements we derive the corresponding
stochastic Schr\"odinger equations, as well as the unconditional feedback
master equations. Our results apply to a wide range of physical systems, and
are easily adapted to describe an arbitrary number of systems and measurements.
Time-continuous Bell measurements therefore provide a versatile tool for the
control of complex quantum systems and networks. As examples we show show that
(i) two two-level systems can be deterministically entangled via homodyne
detection, tolerating photon loss up to 50%, and (ii) a quantum state of light
can be continuously teleported to a mechanical oscillator, which works under
the same conditions as are required for optomechanical ground state cooling.


title: Renormalization in Winter Model

abstract:
  We show that metastable states in Winter model can be related to the
eigenstates of a particle in a box by means of renormalization and mixing.


title: Amendable Gaussian channels:restoring entanglement via a unitary filter

abstract:
  We show that there exist Gaussian channels which are amendable. A channel is
amendable if when applied twice is entanglement breaking while there exists a
unitary filter such that, when interposed between the first and second action
of the map, prevents the global transformation from being entanglement breaking
[Phys. Rev. A 86, 052302 (2012)]. We find that, depending on the structure of
the channel, the unitary filter can be a squeezing transformation or a phase
shift operation. We also propose two realistic quantum optics experiments where
the amendability of Gaussian channels can be verified by exploiting the fact
that it is sufficient to test the entanglement breaking properties of two mode
Gaussian channels on input states with finite energy (which are not maximally
entangled).


title:
On the expected number of successes in a sequence of nested Bernoulli
  trials

abstract:
  We analyse the asymptotic behaviour of the probability of observing the
expected number of successes at each stage of a sequence of nested Bernoulli
trials. Our motivation is the attempt to give a genuinely frequentist
interpretation to the notion of probability based on finite sample sizes. The
main result is that the probabilities under consideration decay asymptotically
as $n^{-1/3}$, where $n$ is the common length of the Bernoulli trials. The main
ingredient in the proof is a new fixed-point theorem for non-contractive
symmetric functions of the unit interval.


title:
Decomposition of the Total Electromagnetic Momentum in a Linear
  Dielectric into Field and Matter Components

abstract:
  The long-standing resolution of the Abraham--Minkowski electromagnetic
momentum controversy is predicated on a decomposition of the total momentum of
a closed continuum electrodynamic system into separate field and matter
components. Using a microscopic model of a simple linear dielectric, we derive
Lagrangian equations of motion for the electric dipoles and show that the
dielectric can be treated as a collection of stationary simple harmonic
oscillators that are driven by the electric field and produce a polarization
field in response. The macroscopic energy and momentum are defined in terms of
the electric, magnetic, and polarization fields that travel through the
dielectric together as a pulse of electromagnetic radiation. We conclude that
both the macroscopic energy and the macroscopic momentum are entirely
electromagnetic in nature for a simple linear dielectric in the absence of
significant reflections.


title:
Stress induces remodelling of yeast interaction and co-expression
  networks

abstract:
  Network analysis provides a powerful framework for the interpretation of
genome-wide data. While static network approaches have proved fruitful, there
is increasing interest in the insights gained from the analysis of cellular
networks under different conditions. In this work, we study the effect of
stress on cellular networks in fission yeast. Stress elicits a sophisticated
and large scale cellular response, involving a shift of resources from cell
growth and metabolism towards protection and maintenance. Previous work has
suggested that these changes can be appreciated at the network level.
  In this paper, we study two types of cellular networks: gene co-regulation
networks and weighted protein interaction networks. We show that in response to
oxidative stress, the co-regulation networks re-organize towards a more
modularised structure: while sets of genes become more tightly co-regulated,
co-regulation between these modules is decreased. This shift translates into
longer average shortest path length, increased transitivity, and decreased
modular overlap in these networks. We also find a similar change in structure
in the weighted protein interaction network in response to both oxidative
stress and nitrogen starvation, confirming and extending previous findings.
  These changes in network structure could represent an increase in network
robustness and/or the emergence of more specialised functional modules.
Additionally, we find stress induces tighter co-regulation of non-coding RNAs,
decreased functional importance of splicing factors, as well as changes in the
centrality of genes involved in chromatin organization, cytoskeleton
organization, cell division, and protein turnover.


title: Expanders have a spanning Lipschitz subgraph with large girth

abstract:
  We show that every regular graph with good local expansion has a spanning
Lipschitz subgraph with large girth and minimum degree. In particular, this
gives a finite analogue of the dynamical solution to the von Neumann problem by
Gaboriau and Lyons. We give a new proof and strengthen the Gaboriau-Lyons
result, that allows us to answer two questions of Monod about geometric random
subgroups. Our finite theorems are kind of converse to the theorem of Bourgain
and Gamburd showing that large girth implies expansion for Cayley graphs of
SL_2(F_p). We apply these to the regular case of Thomassen's conjecture stating
that every finite graph with large average degree has a subgraph with large
girth and average degree. Our main tool is an infinite version of the Lovasz
Local Lemma developed in this paper.


title: Gauge- and point-invariant vertices of nucleon-to-resonance interactions

abstract:
  We construct interactions of nucleons N with higher-spin resonances R
invariant under point and gauge transformations of the Rarita-Schwinger field.
It is found for arbitrarily high spin of a resonance that the requirement of
point- and gauge-invariance uniquely determines a Lagrangian of NR interactions
with pions, photons, and vector mesons, which might reduce model ambiguity in
effective-field calculations involving such vertices. Considering the NR
interactions with photons and vector mesons, the symmetry provides a
classification of three NR vertices in terms of their differential order. The
Q^2 dependencies of the point and gauge invariant form factors are considered
in a vector-meson-dominance model. The model is in good agreement with
experimental data. In addition, we point out some empirical patterns in the Q^2
dependencies of the form factors: low-Q^2 scaling of the N-Delta(1232) form
factor ratios and relations between form factors for N-N(1520) and N-N(1680)
transitions.


title:
Spatial distribution of small hydrocarbons in the neighborhood of the
  Ultra Compact HII region Monoceros R2

abstract:
  We study the chemistry of small hydrocarbons in the photon-dominated regions
(PDRs) associated with the ultra-compact HII region Mon R2. Our goal is to
determine the variations of the abundance of small hydrocarbons in a high-UV
irradiated PDR and investigate their chemistry. We present an observational
study of CH, CCH and c-C$_3$H$_2$ in Mon R2 combining data obtained with the
IRAM 30m telescope and Herschel. We determine the column densities of these
species, and compare their spatial distributions with that of polycyclic
aromatic hydrocarbon (PAH). We compare the observational results with different
chemical models to explore the relative importance of gas-phase, grain-surface
and time-dependent chemistry in these environments. The emission of the small
hydrocarbons show different patterns. The CCH emission is extended while CH and
c-C$_3$H$_2$ are concentrated towards the more illuminated layers of the PDR.
The ratio of the column densities of c-C$_3$H$_2$ and CCH shows spatial
variations up to a factor of a few, increasing from
$N(c-C$_3$H$_2$)/N(CCH)\approx0.004$ in the envelope to a maximum of
$\sim0.015-0.029$ towards the 8$\mu$m emission peak. Comparing these results
with other galactic PDRs, we find that the abundance of CCH is quite constant
over a wide range of G$_0$, whereas the abundance of c-C$_3$H$_2$ is higher in
low-UV PDRs. In Mon R2, the gas-phase steady-state chemistry can account
relatively well for the abundances of CH and CCH in the most exposed layers of
the PDR, but falls short by a factor of 10 to reproduce c-C$_3$H$_2$.
  In the molecular envelope, time-dependent effects and grain surface chemistry
play a dominant role in determining the hydrocarbons abundances. Our study
shows that CCH and c-C$_3$H$_2$ present a complex chemistry in which UV
photons, grain-surface chemistry and time dependent effects contribute to
determine their abundances.


title: Scale invariance of a diodelike tunnel junction

abstract:
  We measure the current vs voltage (I-V) characteristics of a diodelike tunnel
junction consisting of a sharp metallic tip placed at a variable distance d
from a planar collector and emitting electrons via electric-field assisted
emission. All curves collapse onto one single graph when I is plotted as a
function of the single scaling variable Vd^{-\lambda}, d being varied from a
few mm to a few nm, i.e., by about six orders of magnitude. We provide an
argument that finds the exponent {\lambda} within the singular behavior
inherent to the electrostatics of a sharp tip. A simulation of the tunneling
barrier for a realistic tip reproduces both the scaling behavior and the small
but significant deviations from scaling observed experimentally.


title: Combinatorial Analysis of Multiple Networks

abstract:
  The study of complex networks has been historically based on simple graph
data models representing relationships between individuals. However, often
reality cannot be accurately captured by a flat graph model. This has led to
the development of multi-layer networks. These models have the potential of
becoming the reference tools in network data analysis, but require the parallel
development of specific analysis methods explicitly exploiting the information
hidden in-between the layers and the availability of a critical mass of
reference data to experiment with the tools and investigate the real-world
organization of these complex systems. In this work we introduce a real-world
layered network combining different kinds of online and offline relationships,
and present an innovative methodology and related analysis tools suggesting the
existence of hidden motifs traversing and correlating different representation
layers. We also introduce a notion of betweenness centrality for multiple
networks. While some preliminary experimental evidence is reported, our
hypotheses are still largely unverified, and in our opinion this calls for the
availability of new analysis methods but also new reference multi-layer social
network data.


title:
Many-body effects on the Rashba-type spin splitting in bulk bismuth
  tellurohalides

abstract:
  We report on many-body corrections to one-electron energy spectra of bulk
bismuth tellurohalides---materials that exhibit a giant Rashba-type spin
splitting of the band-gap edge states. We show that the corrections obtained in
the one-shot $GW$ approximation noticeably modify the spin-orbit-induced spin
splitting evaluated within density functional theory. We demonstrate that
taking into account many-body effects is crucial to interpret the available
experimental data.


title: Solution Theory for Systems of Bilinear Equations

abstract:
  Bilinear systems of equations are defined, motivated and analyzed for
solvability. Elementary structure is mentioned and it is shown that all
solutions may be obtained as rank one completions of a linear matrix polynomial
derived from elementary operations. This idea is used to identify bilinear
systems that are solvable for all right hand sides and to understand
solvability when the number of equations is large or small.


title: Loop Quantum Gravity and the The Planck Regime of Cosmology

abstract:
  The very early universe provides the best arena we currently have to test
quantum gravity theories. The success of the inflationary paradigm in
accounting for the observed inhomogeneities in the cosmic microwave background
already illustrates this point to a certain extent because the paradigm is
based on quantum field theory on the curved cosmological space-times. However,
this analysis excludes the Planck era because the background space-time
satisfies Einstein's equations all the way back to the big bang singularity.
Using techniques from loop quantum gravity, the paradigm has now been extended
to a self-consistent theory from the Planck regime to the onset of inflation,
covering some 11 orders of magnitude in curvature. In addition, for a narrow
window of initial conditions, there are departures from the standard paradigm,
with novel effects, such as a modification of the consistency relation
involving the scalar and tensor power spectra and a new source for
non-Gaussianities. Thus, the genesis of the large scale structure of the
universe can be traced back to quantum gravity fluctuations \emph{in the Planck
regime}. This report provides a bird's eye view of these developments for the
general relativity community.


title:
Spontaneous quantum emission from analog white holes in a nonlinear
  optical medium

abstract:
  We use a microscopic quantum optical model to compute the spectrum of quantum
vacuum emission from strong laser pulses propagating in nonlinear optical
media. Similarities and differences with respect to the emission of analog
white holes as predicted by quantum field theory in curved spacetime are
highlighted. Conceptual issues related to the role played by the material
dispersion and to the presence or absence of the horizon are clarified.
Critical comparison with available experimental data is made.


title: Broadband directional coupling in aluminum nitride nanophotonic circuits

abstract:
  Aluminum nitride (AlN)-on-insulator has emerged as a promising platform for
the realization of linear and non-linear integrated photonic circuits. In order
to efficiently route optical signals on-chip, precise control over the
interaction and polarization of evanescently coupled waveguide modes is
required. Here we employ nanophotonic AlN waveguides to realize directional
couplers with a broad coupling bandwidth and low insertion loss. We achieve
uniform splitting of incoming modes, confirmed by high extinction-ratio
exceeding 33dB in integrated Mach-Zehnder Interferometers. Optimized
three-waveguide couplers furthermore allow for extending the coupling bandwidth
over traditional side-coupled devices by almost an order of magnitude, with
variable splitting ratio. Our work illustrates the potential of AlN circuits
for coupled waveguide optics, DWDM applications and integrated polarization
diversity schemes.


title:
The Chaplygin Gas Equation of State for the Quantized Free Scalar Field
  on Cosmological Spacetimes

abstract:
  We try to answer the question whether the quantized free scalar field on a
spatially flat Friedmann-Robertson-Walker (FRW) spacetime is a matter model
that can induce a Chaplygin gas equation of state. For this purpose we first
describe how one can obtain every possible homogeneous and isotropic Hadamard
(HIH) state once any such state is given. We also identify a condition on the
scale factor sufficient to entail the existence of a simple HIH state $-$ this
state is constructed explicitly and can thence be used as a starting point for
constructing all HIH states. Furthermore, we employ these results to show that
on an FRW spacetime with non-positive constant scalar curvature there is, with
one exception, no Chaplygin gas equation of state compatible with any HIH
state. Finally, we argue that the semi-classical Einstein equation and the
Chaplygin gas equation of state can presumably not be consistently solved for
the quantized free scalar field.


title:
The quantum de Finetti representation for the Bayesian Quantum
  Tomography and the Quantum Discord

abstract:
  We point out that the quantum de Finetti representation, unique for
infinitely extendable exchangeable systems, assigns a non-zero Quantum Discord
to uncorrelated systems and thus cannot serve as an universal prior
distribution in the Bayesian Quantum Tomography. This apparent paradox stems
from linearity of the Born rule for the probability assignment in Quantum
Mechanics, which results in mixing of one's knowledge about the quantum state
and the representative of the state in one density matrix.


title:
Universal Numerical Encoder and Profiler Reduces Computing's Memory Wall
  with Software, FPGA, and SoC Implementations

abstract:
  In the multicore era, the time to computational results is increasingly
determined by how quickly operands are accessed by cores, rather than by the
speed of computation per operand. From high-performance computing (HPC) to
mobile application processors, low multicore utilization rates result from the
slowness of accessing off-chip operands, i.e. the memory wall. The APplication
AXcelerator (APAX) universal numerical encoder reduces computing's memory wall
by compressing numerical operands (integers and floats), thereby decreasing CPU
access time by 3:1 to 10:1 as operands stream between memory and cores. APAX
encodes numbers using a low-complexity algorithm designed both for time series
sensor data and for multi-dimensional data, including images. APAX encoding
parameters are determined by a profiler that quantifies the uncertainty
inherent in numerical datasets and recommends encoding parameters reflecting
this uncertainty. Compatible software, FPGA, and systemon-chip (SoC)
implementations efficiently support encoding rates between 150 MByte/sec and
1.5 GByte/sec at low power. On 25 integer and floating-point datasets, we
achieved encoding rates between 3:1 and 10:1, with average correlation of
0.999959, while accelerating computational "time to results."


title: The Exciting Lives of Giant Molecular Clouds

abstract:
  We present a detailed study of the evolution of GMCs in a galactic disc
simulation. We follow individual GMCs (defined in our simulations by a total
column density criterion), including their level of star formation, from their
formation to dispersal. We find the evolution of GMCs is highly complex. GMCs
often form from a combination of smaller clouds and ambient ISM, and similarly
disperse by splitting into a number of smaller clouds and ambient ISM. However
some clouds emerge as the result of the disruption of a more massive GMC,
rather than from the assembly of smaller clouds. Likewise in some cases, clouds
accrete onto more massive clouds rather than disperse. Because of the
difficulty of determining a precursor or successor of a given GMC, determining
GMC histories and lifetimes is highly non-trivial. Using a definition relating
to the continuous evolution of a cloud, we obtain lifetimes typically of 4-25
Myr for >10^5 M$_{\odot}$ GMCs, over which time the star formation efficiency
is about 1 %. We also relate the lifetime of GMCs to their crossing time. We
find that the crossing time is a reasonable measure of the actual lifetime of
the cloud, although there is considerable scatter. The scatter is found to be
unavoidable because of the complex and varied shapes and dynamics of the
clouds. We study cloud dispersal in detail and find both stellar feedback and
shear contribute to cloud disruption. We also demonstrate that GMCs do not
behave as ridge clouds, rather massive spiral arm GMCs evolve into smaller
clouds in inter-arm spurs.


title: Compressive Shift Retrieval

abstract:
  The classical shift retrieval problem considers two signals in vector form
that are related by a shift. The problem is of great importance in many
applications and is typically solved by maximizing the cross-correlation
between the two signals. Inspired by compressive sensing, in this paper, we
seek to estimate the shift directly from compressed signals. We show that under
certain conditions, the shift can be recovered using fewer samples and less
computation compared to the classical setup. Of particular interest is shift
estimation from Fourier coefficients. We show that under rather mild conditions
only one Fourier coefficient suffices to recover the true shift.


title:
A Kinematic Approach To Assessing Environmental Effects: Star-Forming
  Galaxies in a z~0.9 SpARCS cluster using Spitzer 24um Observations

abstract:
  We present an infrared study of a z=0.872 cluster, SpARCS J161314+564930,
with the primary aim of distinguishing the dynamical histories of
spectroscopically confirmed star-forming members to assess the role of cluster
environment. We utilize deep MIPS imaging and a mass-limited sample of 85
spectroscopic members to identify 16 24um-bright sources within the cluster,
and measure their 24um star formation rates (SFRs) down to ~6 Msolar/year.
Based on their line-of-sight velocities and stellar ages, MIPS cluster members
appear to be an infalling population that was recently accreted from the field
with minimal environmental dependency on their star formation. However, we
identify a double-sequenced distribution of star-forming galaxies amongst the
members, with one branch exhibiting declining specific SFRs with mass. The
members along this sub-main sequence contain spectral features suggestive of
passive galaxies. Using caustic diagrams, we kinematically identify these
galaxies as a virialized and/or backsplash population. Moreover, we find a mix
of dynamical histories at all projected radii, indicating that standard
definitions of environment (i.e., radius and density) are contaminated with
recently accreted interlopers, which could contribute to a lack of
environmental trends for star-forming galaxies. A cleaner narrative of their
dynamical past begins to unfold when using a proxy for accretion histories
through profiles of constant (r/r_200)x(Delta v/sigma_v); galaxies accreted at
earlier times possess lower values of (r/r_200)x(Delta v/sigma_v) with minimal
contamination from the distinct infalling population. Therefore, adopting a
time-averaged definition for density (as traced by accretion histories) rather
than an instantaneous density yields a depressed specific SFR within the
dynamical cluster core.


title: Three-Dimensional Dust Radiative Transfer

abstract:
  Cosmic dust is present in many astrophysical objects, and recent observations
across the electromagnetic spectrum show that the dust distribution is often
strongly three-dimensional (3D). Dust grains are effective in absorbing and
scattering ultraviolet (UV)/optical radiation, and they re-emit the absorbed
energy at infrared wavelengths. Understanding the intrinsic properties of these
objects, including the dust itself, therefore requires 3D dust radiative
transfer (RT) calculations. Unfortunately, the 3D dust RT problem is nonlocal
and nonlinear, which makes it one of the hardest challenges in computational
astrophysics. Nevertheless, significant progress has been made in the past
decade, with an increasing number of codes capable of dealing with the complete
3D dust RT problem. We discuss the complexity of this problem, the two most
successful solution techniques [ray-tracing (RayT) and Monte Carlo (MC)], and
the state of the art in modeling observational data using 3D dust RT codes. We
end with an outlook on the bright future of this field.


title: Some remarks on toroidal morphisms

abstract:
  This note contains some results related to the definitions of toroidal
embeddings and toroidal morphisms over non-closed fields of characteristic
zero.


title:
Universality of the Weak Interactions, Cabibbo theory and where they led
  us

abstract:
  Universality of the weak interactions is reviewed, with special emphasis on
the origin of the Cabibbo theory of strange particles beta-decays and its role
in the discovery of the unified Electroweak Theory. Achievements and present
challenges of the Standard Theory of particles interactions are briefly
illustrated. As an homage to Nicola Cabibbo, his leading role in the Roma
school of theoretical physics and in the italian science in general is
reviewed.