title: Planck-Suppressed Operators

abstract:
  We show that the recent Planck limits on primordial non-Gaussianity impose
strong constraints on light hidden sector fields coupled to the inflaton via
operators suppressed by a high mass scale \Lambda. We study a simple effective
field theory in which a hidden sector field is coupled to a shift-symmetric
inflaton via arbitrary operators up to dimension five. Self-interactions in the
hidden sector lead to non-Gaussianity in the curvature perturbations. To be
consistent with the Planck limit on local non-Gaussianity, the coupling to any
hidden sector with light fields and natural cubic couplings must be suppressed
by a very high scale \Lambda > 10^5 H. Even if the hidden sector has Gaussian
correlations, nonlinearities in the mixing with the inflaton still lead to
non-Gaussian curvature perturbations. In this case, the non-Gaussianity is of
the equilateral or orthogonal type, and the Planck data requires \Lambda > 10^2
H.


title: Universes for category theory

abstract:
  The Grothendieck universe axiom asserts that every set is a member of some
set-theoretic universe U that is itself a set. One can then work with entities
like the category of all U-sets or even the category of all locally U-small
categories, where U is an "arbitrary but fixed" universe, all without worrying
about which set-theoretic operations one may legitimately apply to these
entities. Unfortunately, as soon as one allows the possibility of changing U,
one also has to face the fact that universal constructions such as limits or
adjoints or Kan extensions could, in principle, depend on the parameter U. We
will prove this is not the case for adjoints of accessible functors between
locally presentable categories (and hence, limits and Kan extensions), making
explicit the idea that "bounded" constructions do not depend on the choice of
U.


title:
Families of moment matching based, structure preserving approximations
  for linear port Hamiltonian systems

abstract:
  In this paper we propose a solution to the problem of moment matching with
preservation of the port Hamiltonian structure, in the framework of time-domain
moment matching. We characterize several families of parameterized port
Hamiltonian models that match the moments of a given port Hamiltonian system,
at a set of finite interpolation points. We also discuss the problem of Markov
parameters matching for linear systems as a moment matching problem for
descriptor representations associated to the given system, at zero
interpolation points. Solving this problem yields families of parameterized
reduced order models that achieve Markov parameter matching. Finally, we apply
these results to the port Hamiltonian case, resulting in families of
parameterized reduced order port Hamiltonian approximations.


title:
Adiabatic and Isocurvature Perturbation Projections in Multi-Field
  Inflation

abstract:
  Current data are in good agreement with the predictions of single field
inflation. However, the hemispherical asymmetry seen in the cosmic microwave
background data, may hint at a potential problem. Generalizing to multi-field
models may provide one possible explanation. A useful way of modeling
perturbations in multi-field inflation is to investigate the projection of the
perturbation along and perpendicular to the background fields' trajectory.
These correspond to the adiabatic and isocurvature perturbations. However, it
is important to note that in general there are no corresponding adiabatic and
isocurvature fields. The purpose of this article is to highlight the
distinction between a field redefinition and a perturbation projection. We
provide a detailed derivation of the evolution of the isocurvature perturbation
to show that no assumption of an adiabatic or isocurvature field is needed. We
also show how this evolution equation is consistent with the field covariant
evolution equations for the isocurvature perturbation in the flat field space
limit.


title: Optomechanically Induced Transparency in the Nonlinear Quantum Regime

abstract:
  Optomechanical systems have been shown both theoretically and experimentally
to exhibit an analogon to atomic electromagnetically induced transparency, with
sharp transmission features that are controlled by a second laser beam. Here we
investigate these effects in the regime where the fundamental nonlinear nature
of the optomechanical interaction becomes important. We demonstrate that pulsed
transistor-like switching of transmission still works even in this regime. We
also show that optomechanically induced transparency at the second mechanical
sideband could be a sensitive tool to see first indications of the nonlinear
quantum nature of the optomechanical interaction even for single-photon
coupling strengths significantly smaller than the cavity linewidth.


title:
Spitzer Spectroscopy of Infrared-Luminous Galaxies: Diagnostics of AGN
  and Star Formation and Contribution to Total Infrared Luminosity

abstract:
  We use Spitzer IRS spectroscopy to study the nature 65 IR-luminous galaxies
at 0.02 < z < 0.6 with F(24micron) > 1.2mJy. The IRS spectra cover wavelengths
spanning the PAH features and important atomic diagnostic lines. Our sample
corresponds to L(IR) = L(8-1000micron) = 10^10-10^12 Lsun. We divide our
galaxies into those with Spitzer IRAC colors indicative of warm dust heated by
an AGN (IRAGN) and those whose colors indicate star-formation processes
(non-IRAGN). Compared to the non-IRAGN, the IRAGN show smaller PAH emission
EWs, which we attribute to an increase in mid-IR continuum from the AGN. We
find that in both the IRAGN and non-IRAGN samples, the PAH luminosities
correlate strongly with the [Ne II] emission, from which we conclude that the
PAH luminosity directly traces the instantaneous SFR in both the IRAGN and
non-IRAGN galaxies. We compare the ratio of PAH luminosity to the total IR
luminosity and show that for most IRAGN star-formation accounts for 10-50% of
the L(IR). We also find no measurable difference between the PAH luminosity
ratios of L(11.3)/L(7.7) and L(6.2)/L(7.7) for the IRAGN and non-IRAGN,
suggesting that AGN do not significantly excite or destroy PAH molecules on
galaxy-wide scales. A small subset of galaxies show excess of [O IV] emission
compared to their PAH emission, which indicates the presence of
heavily-obscured AGN, including 3 galaxies that are not otherwise selected as
IRAGN. The low PAH emission and low [Ne II] emission of the IRAGN and [O
IV]-excess objects imply they have low SFRs and their IR luminosity is
dominated by processes associated with the AGN.


title:
Neural network spectral robustness under perturbations of the underlying
  graph

abstract:
  Recent studies have been using graph theoretical approaches to model complex
networks (such as social, infrastructural or biological networks), and how
their hardwired circuitry relates to their dynamic evolution in time.
Understanding how configuration reflects on the coupled behavior in a system of
dynamic nodes can be of great importance, for example in the context of how the
brain connectome is affecting brain function. However, the connectivity
patterns that appear in brain networks, and their individual effects on network
dynamics, are far from being fully understood.
  We study the connections between edge configuration and dynamics in a simple
oriented network composed of two interconnected cliques (representative of
brain feedback regulatory circuitry). In this paper, our main goal is to study
the spectra of the graph adjacency and Laplacian matrices, with a focus on
three aspects in particular: (1) the sensitivity/robustness the spectrum in
response to varying the intra and inter-modular edge density, (2) the effects
on the spectrum of perturbing the edge configuration, while keeping the
densities fixed and (3) the effects of increasing the network size. We study
some tractable aspects analytically, then simulate more general results
numerically. This paper aims to clarify, from analytical and modeling
perspectives, the underpinnings of our related work, which further addresses
how graph properties affect the network's temporal dynamics and phase
transitions.
  We propose that this type of results may be helpful when studying small
networks such as macroscopic brain circuits. We suggest potential applications
to understanding synaptic restructuring in learning networks, and the effects
of network configuration to function of emotion-regulatory neural circuits.


title:
Studies of NGC 6720 with Calibrated HST WFC3 Emission-Line Filter
  Images--III:Tangential Motions using AstroDrizzle Images

abstract:
  We have been able to compare with astrometric precision AstroDrizzle
processed images of NGC 6720 (the Ring Nebula) made using two cameras on the
Hubble Space Telescope. The time difference of the observations was 12.925 yrs.
This large time-base allowed determination of tangential velocities of features
within this classic planetary nebula. Individual features were measured in [N
II] images as were the dark knots seen in silhouette against background nebular
[O III] emission. An image magnification and matching technique was also used
to test the accuracy of the usual assumption of homologous expansion. We found
that homologous expansion does apply, but the rate of expansion is greater
along the major axis of the nebula, which is intrinsically larger than the
minor axis.
  We find that the dark knots expand more slowly that the nebular gas, that the
distance to the nebula is 720 pc +/-30%, and the dynamic age of the Ring Nebula
is about 4000 yrs. The dynamic age is in agreement with the position of the
central star on theoretical curves for stars collapsing from the peak of the
Asymptotic Giant Branch to being white dwarfs.


title:
Regularity of solutions to quasilinear infinitely degenerate second
  order equations

abstract:
  The main result of the paper is on the continuity of weak solutions of
infinitely degenerate quasilinear second order equations. Namely, we show that
every weak solution to a certain class of degenerate quasilinear equations is
continuous. More precisely, we show that it is H\"{o}lder continuous with
respect to a certain metric associated to the operator. One of the essential
features of this metric is that the metric balls are non doubling with respect
to Lebesgue measure. The proof of the continuity together with a recent result
by Rios et al. completes the result on hypoellipticity of a class of second
order quasilinear infinitely degenerate elliptic operators.


title: Soliton propagation in relativistic hydrodynamics

abstract:
  We study the conditions for the formation and propagation of Korteweg-de
Vries (KdV) solitons in nuclear matter. In a previous work we have derived a
KdV equation from Euler and continuity equations in non-relativistic
hydrodynamics. In the present contribution we extend our formalism to
relativistic fluids. We present results for a given equation of state, which is
based on quantum hadrodynamics (QHD).


title:
C^{k,\alpha}-regularity of solutions to quasilinear equations structured
  on H\"ormander's vector fields

abstract:
  For a linear nonvariational operator structured on smooth H\"ormander's
vector fields, with H\"older continuous coefficients, we prove a regularity
result in the spaces of H\"older functions. We deduce an analogous regularity
result for nonvariational degenerate quasilinear equations.


title:
Single-Spin Asymmetries in Semi-inclusive Deep Inelastic Scattering and
  Drell-Yan Processes

abstract:
  We examine in detail the diagrammatic mechanisms which provide the change of
sign between the single transverse spin asymmetries measured in semi-inclusive
deep inelastic scattering (SIDIS) and in the Drell-Yan process (DY). This
asymmetry is known to arise due to the transverse spin dependence of the target
proton combined with a T-odd complex phase. Using the discrete symmetry
properties of transverse spinors, we show that the required complex phase
originates in the denominators of rescattering diagrams and their respective
cuts. For simplicity, we work in a model where the proton consists of a valence
quark and a scalar diquark. We then show that the phases generated in SIDIS and
in DY originate from distinctly different cuts in the amplitudes, which at
first appears to obscure the relationship between the single-spin asymmetries
in the two processes. Nevertheless, further analysis demonstrates that the
contributions of these cuts are identical in the leading-twist Bjorken
kinematics considered, resulting in the standard sign-flip relation between the
Sivers functions in SIDIS and DY. Physically, this fundamental, but yet
untested, prediction occurs because the Sivers effect in the Drell-Yan reaction
is modified by the initial-state "lensing" interactions of the annihilating
antiquark, in contrast to the final-state lensing which produces the Sivers
effect in deep inelastic scattering.


title: Super-exponential cutoff as a probe of annihilating dark matter

abstract:
  We investigate the possibility of fitting the putative spectrum of gamma-rays
from annihilating dark matter at the Galactic Center by a super-exponential
template. By generating and analyzing mock data for several ongoing and future
experiments (HESS, CTA and DMA), we find that the preference for a
super-exponential template (over an exponential) is especially strong for dark
matter annihilating to $\tau^+\tau^-$ and $\mu^+\mu^-$ relative to other
annihilation channels.


title: Topology and Dark Energy: Testing Gravity in Voids

abstract:
  Modified gravity has garnered interest as a backstop against dark matter and
dark energy (DE). As one possible modification, the graviton can become
massive, which introduces a new scalar field - here with a Galileon-type
symmetry. The field can lead to a nontrivial equation of state (EOS) of DE
which is density-and-scale-dependent. Tension between Type Ia supernovae and
Planck could be reduced. In voids the scalar field dramatically alters the EOS
of DE, induces a soon-observable gravitational slip between the two metric
potentials, and develops a topological defect (domain wall) due to a nontrivial
vacuum structure for the field.


title: Telescoping Jets: Multiple Event Interpretations with Multiple R's

abstract:
  Jets at high energy colliders are complicated objects to identify. Even if
jets are widely separated, there is no reason for jets to have the same size. A
single reconstruction, or interpretation, of each event can only extract a
limited amount of information. Motivated by the recently proposed Qjet
algorithms, which give multiple interpretations for each event using
nondeterministic jet clustering, we propose a simple, fast and powerful method
to give multiple event interpretations by varying the parameter R in the jet
definition. With multiple interpretations we can redefine the weight of each
event in a counting experiment to be the fraction of interpretations passing
the experimental cuts, instead of 0 or 1 in a conventional analysis. We show
that the statistical power of an analysis can be dramatically increased. In
particular, we can have a 46% improvement in the statistical significance for
the Higgs search with an associated Z boson (ZH\rightarrow \nu {\bar \nu}b
{\bar b}) at the 8 TeV LHC.


title:
Direct diagnostics of forming massive stars: stellar pulsation and
  periodic variability of maser sources

abstract:
  The 6.7 GHz methanol maser emission, a tracer of forming massive stars,
sometimes shows enigmatic periodic flux variations over several 10-100 days. In
this Letter, we propose that this periodic variations could be explained by the
pulsation of massive protostars growing under rapid mass accretion with rates
of Mdot > 10^-3 Msun/yr. Our stellar evolution calculations predict that the
massive protostars have very large radius exceeding 100 Rsun at maximum, and we
here study the pulsational stability of such the bloated protostars by way of
the linear stability analysis. We show that the protostar becomes pulsationally
unstable with various periods of several 10-100 days, depending on different
accretion rates. With the fact that the stellar luminosity when the star is
pulsationally unstable also depends on the accretion rate, we derive the
period-luminosity relation log (L/Lsun) = 4.62 + 0.98log(P/100 day), which is
testable with future observations. Our models further show that the radius and
mass of the pulsating massive protostar should also depend on the period. It
would be possible to infer such protostellar properties and the accretion rate
with the observed period. Measuring the maser periods enables a direct
diagnosis of the structure of accreting massive protostars, which are deeply
embedded in dense gas and inaccessible with other observations.


title:
H{\alpha} to FUV ratios in resolved star forming region populations of
  nearby spiral galaxies

abstract:
  We present a new study of H{\alpha}/FUV flux ratios of star forming regions
within a sample of nearby spiral galaxies. We search for evidence of the
existence of a cluster mass dependent truncation in the underlying stellar
initial mass function (IMF). We use an automated approach to identification of
extended objects based on the SExtractor algorithm to catalogue resolved Hii
regions within a set of nearby spiral galaxies. Corrections due to dust
attenuation effects are applied to avoid artificially boosted H{\alpha}/FUV
values. We use the BPASS stellar population synthesis code of Eldridge &
Stanway (2009) to create a benchmark population of star forming regions to act
as a reference for our observations. Based on those models, we identify a zone
of parameter space populated by regions that cannot be obtained with a cluster
mass dependent truncation in the stellar IMF imposed. We find that the
investigated galaxies display small subpopulations of star forming regions
falling within our zone of interest, which appears to be inconsistent with
imposing an IMF truncation at maximum stellar mass dependent on the total
cluster mass. The presence of those regions is expected in models using both
stochastic and sorted sampling of the full extent of the stellar IMF. This
result persists after taking dust attenuation effects into account. We
highlight the significance of stochastic effects in environments with low star
formation activity and in studies describing systems associated with small
physical scales.


title:
Non-thermal WIMPs as "Dark Radiation" in Light of ATACAMA, SPT, WMAP9
  and Planck

abstract:
  The Planck and WMAP9 satellites, as well as the ATACAMA and South Pole
telescopes, have recently presented results on the angular power spectrum of
the comic microwave background. Data tentatively point to the existence of an
extra radiation component in the early universe. Here, we show that this extra
component can be mimicked by ordinary WIMP dark matter particles whose majority
is cold, but with a small fraction being non-thermally produced in a
relativistic state. We present a few example theories where this scenario is
explicitly realized, and explore the relevant parameter space consistent with
BBN, CMB and Structure Formation bounds.


title:
Weak magnetic order in high-Tc superconductors produced by spontaneous
  Josephson currents

abstract:
  We develop a model for high-Tc superconductors based on an electronic phase
separation where low-and high-density domains are formed. At low temperatures
this system may act as a granular superconductor forming an array of Josephson
junctions. Cuprates are also known to have low superfluid densities and strong
correlation effects. Both characteristics activate a negative Josephson
coupling due to frustration that leads to spontaneous currents responsible for
the weak ferromagnetic order. This original approach reproduces the observed
onset of spontaneous magnetic signal and its dependence on the doping level.


title: Feature Elimination in Kernel Machines in moderately high dimensions

abstract:
  We develop an approach for feature elimination in statistical learning with
kernel machines, based on recursive elimination of features.We present
theoretical properties of this method and show that it is uniformly consistent
in finding the correct feature space under certain generalized assumptions.We
present four case studies to show that the assumptions are met in most
practical situations and present simulation results to demonstrate performance
of the proposed approach.


title: Pattern Formation in the Exciton Inner Ring

abstract:
  We report on the spatially separated pump-probe study of indirect excitons in
the inner ring in the exciton emission pattern. A pump laser beam generates the
inner ring and a weaker probe laser beam is positioned in the inner ring. The
probe beam is found to suppress the exciton emission intensity in the ring. We
also report on the inner ring fragmentation and formation of multiple rings in
the inner ring region. These features are found to originate from a weak
spatial modulation of the excitation beam intensity in the inner ring region.
The modulation of exciton emission intensity anti-correlates with the
modulation of the laser excitation intensity. The three phenomena - inner ring
fragmentation, formation of multiple rings in the inner ring region, and
emission suppression by a weak probe laser beam - have a common feature: a
reduction of exciton emission intensity in the region of enhanced laser
excitation. This effect is explained in terms of exciton transport and
thermalization.


title: Computational Irreducibility and Computational Analogy

abstract:
  In a previous paper, we provided a formal definition for the concept of
computational irreducibility (CIR), i.e. the fact for a function f from N to N
that it is impossible to compute f(n) without following approximately the same
path than computing successively all the values f(i) from i=1 to n. Our
definition is based on the concept of E Turing machines (for Enumerating Turing
Machines) and on the concept of approximation of E Turing machines for which we
also gave a formal definition. We precise here these definitions through some
modifications intended to improve the robustness of the concept. We introduce
then a new concept: the Computational Analogy and prove some properties of
computationally analog functions. Computational Analogy is an equivalence
relation which allows partitioning the set of computable functions in classes
whose members have the same properties regarding to their computational
irreducibility and their computational complexity.


title: Gorenstein in codimension 4 - the general structure theory

abstract:
  I describe the projective resolution of a codimension 4 Gorenstein ideal,
aiming to extend Buchsbaum and Eisenbud's famous result in codimension 3. The
main result is a structure theorem stating that the ideal is determined by its
(k+1) x 2k matrix of first syzygies, viewed as a morphism from the ambient
regular space to the Spin-Hom variety SpH_k in Mat(k+1,2k). This is a general
result encapsulating some theoretical aspects of the problem, but, as it
stands, is still some way from tractable applications.


title: Methyl mercaptan (CH3SH) as a probe for $\mu$ variation

abstract:
  Torsion-rotation transitions in molecules exhibiting hindered internal
rotation possess enhanced sensitivities to a variation of the
proton-to-electron mass ratio. This enhancement occurs due to a cancellation of
energies associated with the torsional and rotational degrees of freedom of the
molecule. This effect occurs generally in every internal rotor molecule, but is
exceptionally large in methanol. In this paper we calculate the sensitivity
coefficients of methyl mercaptan, the thiol analogue of methanol. The obtained
sensitivity coefficients in this molecule range from $K_\mu=-14.8$ to $+12.2$
for transitions with a lower-level excitation energy below 10\,cm$^{-1}$.


title: Sharp symplectic embeddings of cylinders

abstract:
  We show that the cylinder Z^{2n}(1):= B^2(1)\times \mathbb{R}^{2(n-1)} embeds
symplectically into B^4(R) \times \mathbb{R}^{2(n-2)} if R \geq \sqrt{3}.


title: Applications of Dynamical Systems in Engineering

abstract:
  This paper presents the current possible applications of Dynamical Systems in
Engineering. The applications of chaos, fractals have proven to be an exciting
and fruitful endeavor. These applications are highly diverse ranging over such
fields as Electrical, Electronics and Computer Engineering. Dynamical Systems
theory describes general patterns found in the solution of systems of nonlinear
equations. The theory focuses upon those equations representing the change of
processes in time. This paper offers the issue of applying dynamical systems
methods to a wider circle of Engineering problems. There are three components
to our approach: ongoing and possible applications of Fractals, Chaos Theory
and Dynamical Systems. Some basic and useful computer simulation of Dynamical
System related problems have been shown also.


title: Topology of Collisionless Relaxation

abstract:
  Using extensive molecular dynamics simulations we explore the fine-grained
phase space structure of systems with long-range interactions. We find that if
the initial phase space particle distribution has no holes, the final
stationary distribution will also contain a compact simply connected region.
The microscopic holes created by the filamentation of the initial distribution
function are always restricted to the outer regions of the phase space. In
general, for complex multilevel distributions it is very difficult to a priori
predict the final stationary state without solving the full dynamical
evolution. However, we show that for multilevel initial distributions
satisfying a generalized virial condition, it is possible to predict the
particle distribution in the final stationary state using Casimir invariants of
the Vlasov dynamics.


title: Stochastic Neutrino Mixing Mechanism

abstract:
  We propose a mechanism which provides an explanation of the Gallium and
antineutrino reactor anomalies. Differently from original Pontecorvo's
hypothesis, this mechanism is based on the phenomenological assumption in which
the admixture of neutrino mass eigenstates in the moments of neutrino creation
and detection can assume different configurations around the admixture
parametrized by the usual values of the mixing angles $\theta_{12}$,
$\theta_{23}$ and $\theta_{13}$. For simplicity, we assume a Gaussian
distribution for the mixing angles in such a way that the average value of this
distribution is given by the usual values of the mixing angles and the width of
the Gaussian is denoted by $\alpha$. We show that the proposed mechanism
provides a possible explanation for very short-baseline neutrino disappearance,
necessary to accommodate Gallium and antineutrino reactor anomalies, which is
not allowed in usual neutrino oscillations based on Pontecorvo's original
hypotheses. We also can describe high-energy oscillation experiments, like
LSND, Fermi and NuTeV, assuming a weakly energy dependent width parameter,
$\alpha(E)$, that nicely fits all experimental results.


title: Free non-archimedean topological groups

abstract:
  We study free topological groups defined over uniform spaces in some
subclasses of the class NA of non-archimedean groups. Our descriptions of the
corresponding topologies show that for metrizable uniformities the
corresponding free balanced, free abelian and free Boolean NA groups are also
metrizable. Graev type ultra-metrics determine the corresponding free
topologies. Such results are in a striking contrast with free balanced and free
abelian topological groups cases (in standard varieties).
  Another contrasting advantage is that the induced topological group actions
on free abelian NA groups frequently remain continuous. One of the main
applications is: any epimorphism in the category NA must be dense. Moreover,
the same methods improve the following result of T.H. Fay : the inclusion of a
proper open subgroup H into G is not an epimorphism in the category of all
Hausdorff topological groups. A key tool in the proofs is Pestov's test of
epimorphisms.
  Our results provide a convenient way to produce surjectively universal NA
abelian and balanced groups. In particular, we unify and strengthen some recent
results of Gao and Gao-Xuan as well as classical results about profinite groups
which go back to Iwasawa and Gildenhuys-Lim.


title:
Tracing the structure of the Milky Way with detached eclipsing binaries
  from the VVV survey - I. The method and initial results

abstract:
  We present the first results of a project aiming to trace the spatial
structure of the Milky Way using detached eclipsing binaries (DEBs) as distance
indicators. A sample of DEBs from the OGLE-II catalogue was selected and their
near infrared photometry was taken from the Vista Variables in the Via Lactea
(VVV) survey. The I band OGLE-II light curves are used to create models of the
DEBs, which together with the VVV photometry are compared with a set of
theoretical isochrones. After correcting for stellar reddening, we find a set
of absolute physical parameters of components of a given binary, including
absolute magnitudes and distances.
  With this approach we can calculate the distances with the precision better
than 5 per cent. Even though we have a few systems, the distribution is not
homogeneous along the line of sight, and appears to follow the overall
structure of the Galaxy - several spiral arms and the Bulge are
distinguishable. A number of systems can be seen behind the Bulge, reaching
even the distance to the Sagittarius dwarf galaxy.


title:
Inhomogeneous superconducting phases in the frustrated Kondo-Heisenberg
  chain

abstract:
  We use bosonization and renormalization group methods to determine the ground
state phase diagram of a one-dimensional frustrated Kondo-Heisenberg system
consisting of a one-dimensional spin-1/2 Luttinger liquid coupled by a Kondo
exchange interaction $J_K$ to a frustrated quantum antiferromagnetic Heisenberg
chain, with a nearest-neighbor exchange coupling $J_1$ and a
next-nearest-neighbor (frustrating) exchange interaction $J_2$. We analyze the
interplay of quantum frustration in the antiferromagnetic chain with the Kondo
exchange coupling $J_K$ with the Luttinger liquid. We discuss the structure of
the phase diagram of this system as a function of the ratios $J_K/J_1$,
$J_2/J_1$ and of the parameters of the Luttinger liquid. In particular we
discuss in detail the regimes in which a pair-density-wave state may be
realized and its relation with the spin correlations in the frustrated
antiferromagnetic chain.


title: What Makes Code Hard to Understand?

abstract:
  What factors impact the comprehensibility of code? Previous research suggests
that expectation-congruent programs should take less time to understand and be
less prone to errors. We present an experiment in which participants with
programming experience predict the exact output of ten small Python programs.
We use subtle differences between program versions to demonstrate that
seemingly insignificant notational changes can have profound effects on
correctness and response times. Our results show that experience increases
performance in most cases, but may hurt performance significantly when
underlying assumptions about related code statements are violated.


title: Velocity estimation via registration-guided least-squares inversion

abstract:
  This paper introduces an iterative scheme for acoustic model inversion where
the notion of proximity of two traces is not the usual least-squares distance,
but instead involves registration as in image processing. Observed data are
matched to predicted waveforms via piecewise-polynomial warpings, obtained by
solving a nonconvex optimization problem in a multiscale fashion from low to
high frequencies. This multiscale process requires defining low-frequency
augmented signals in order to seed the frequency sweep at zero frequency.
Custom adjoint sources are then defined from the warped waveforms. The proposed
velocity updates are obtained as the migration of these adjoint sources, and
cannot be interpreted as the negative gradient of any given objective function.
The new method, referred to as RGLS, is successfully applied to a few scenarios
of model velocity estimation in the transmission setting. We show that the new
method can converge to the correct model in situations where conventional
least-squares inversion suffers from cycle-skipping and converges to a spurious
model.


title:
Reduction of triangulated categories and Maximal Modification Algebras
  for cA_n singularities

abstract:
  In this paper we define and study triangulated categories in which the
Hom-spaces have Krull dimension at most one over some base ring (hence they
have a natural 2-step filtration), and each factor of the filtration satisfies
some Calabi-Yau type property. If C is such a category, we say that C is
Calabi-Yau with dimension at most one. We extend the notion of Calabi-Yau
reduction to this setting, and prove general results which are an analogue of
known results in cluster theory.
  Such categories appear naturally in the setting of Gorenstein singularities
in dimension three as the stable categories of Cohen-Macaulay modules. We
explain the connection between Calabi-Yau reduction of $\underline{\rm CM} R$
and both partial crepant resolutions and Q-factorial terminalizations of Spec
R, and we show under quite general assumptions that Calabi-Yau reductions
exist.
  In the remainder of the paper we focus on complete local cA_n singularities
R. By using a purely algebraic argument based on Calabi-Yau reduction of
$\underline{\rm CM} R$, we give a complete classification of maximal modifying
modules in terms of the symmetric group, generalizing and strengthening results
in [BIKR] and [DH], where we do not need any restriction on the ground field.
We also describe the mutation of modifying modules at an arbitrary (not
necessarily indecomposable) direct summand. As a corollary when the field is
the complex numbers, we obtain many autoequivalences of the derived category of
the Q-factorial terminalizations of Spec R.


title: Effects of mixing in threshold models of social behavior

abstract:
  We consider the dynamics of an extension of the influential Granovetter model
of social behavior, where individuals are affected by their personal
preferences and observation of the neighbors' behavior. Individuals are
arranged in a network (usually, the square lattice) and each has a state and a
fixed threshold for behavior changes. We simulate the system asynchronously
either by picking a random individual and either update its state or exchange
it with another randomly chosen individual (mixing). We describe the dynamics
analytically in the fast-mixing limit by using the mean-field approximation and
investigate it mainly numerically in case of a finite mixing. We show that the
dynamics converge to a manifold in state space, which determines the possible
equilibria, and show how to estimate the projection of manifold by using
simulated trajectories, emitted from different initial points.
  We show that the effects of considering the network can be decomposed into
finite-neighborhood effects, and finite-mixing-rate effects, which have
qualitatively similar effects. Both of these effects increase the tendency of
the system to move from a less-desired equilibrium to the "ground state". Our
findings can be used to probe shifts in behavioral norms and have implications
for the role of information flow in determining when social norms that have
become unpopular (such as foot binding or female genital cutting) persist or
vanish.


title: EPR states and Bell correlated states in algebraic quantum field theory

abstract:
  A mathematical rigorous definition of EPR states has been introduced by Arens
and Varadarajan for finite dimensional systems, and extended by Werner to
general systems. In the present paper we follow a definition of EPR states due
to Werner. Then we show that an EPR state for incommensurable pairs is Bell
correlated, and that the set of EPR states for incommensurable pairs is norm
dense between two strictly space-like separated regions.


title: New conjectures in number theory - The distribution of prime numbers

abstract:
  Since the mathematicians of ancient Greece until Fermat, since Gauss until
today; the way how the primes along the numerical straight line are distributed
has become perhaps the most difficult math problem; many people believe that
their distribution is chaotic, governed only by the laws of chance. In this
article the author tries to resolve satisfactorily all matter related to the
distance between primes, based on the determination of a lower bound for the
primes counting function, the estimate of Legendre's conjecture, and the
iterative method for solving equations.


title: Multi-solitons and related solutions for the water-waves system

abstract:
  The main result of this work is the construction of multi-solitons solutions
that is to say solutions that are time asymptotics to a sum of decoupling
solitary waves for the full water waves system with surface tension.


title: An optimal lower bound for monotonicity testing over hypergrids

abstract:
  For positive integers $n, d$, consider the hypergrid $[n]^d$ with the
coordinate-wise product partial ordering denoted by $\prec$. A function $f:
[n]^d \mapsto \mathbb{N}$ is monotone if $\forall x \prec y$, $f(x) \leq f(y)$.
A function $f$ is $\eps$-far from monotone if at least an $\eps$-fraction of
values must be changed to make $f$ monotone. Given a parameter $\eps$, a
\emph{monotonicity tester} must distinguish with high probability a monotone
function from one that is $\eps$-far.
  We prove that any (adaptive, two-sided) monotonicity tester for functions
$f:[n]^d \mapsto \mathbb{N}$ must make $\Omega(\eps^{-1}d\log n - \eps^{-1}\log
\eps^{-1})$ queries. Recent upper bounds show the existence of $O(\eps^{-1}d
\log n)$ query monotonicity testers for hypergrids. This closes the question of
monotonicity testing for hypergrids over arbitrary ranges. The previous best
lower bound for general hypergrids was a non-adaptive bound of $\Omega(d \log
n)$.


title:
Small two-component Fermi gases in a cubic box with periodic boundary
  conditions

abstract:
  The properties of two-component Fermi gases become universal if the
interspecies s-wave scattering length $a_s$ and the average interparticle
spacing are much larger than the range of the underlying two-body potential.
Using an explicitly correlated Gaussian basis set expansion approach, we
determine the eigen energies of two-component Fermi gases in a cubic box with
periodic boundary conditions as functions of the interspecies s-wave scattering
length and the effective range of the two-body potential. The universal
properties of systems consisting of up to four particles are determined by
extrapolating the finite-range energies to the zero-range limit. We determine
the eigen energies of states with vanishing and finite momentum. In the
weakly-attractive BCS regime, we analyze the energy spectra and degeneracies
using first-order degenerate perturbation theory. Excellent agreement between
the perturbative energy shifts and the numerically determined energies is
obtained. For the infinitely large scattering length case, we compare our
results - where available - with those presented in the literature.


title:
Stellar variability in open clusters. I. A new class of variable stars
  in NGC 3766

abstract:
  Aims. We analyze the population of periodic variable stars in the open
cluster NGC 3766 based on a 7-year multi-band monitoring campaign conducted on
the 1.2 m Swiss Euler telescope at La Silla, Chili.
  Methods. The data reduction, light curve cleaning and period search
procedures, combined with the long observation time line, allow us to detect
variability amplitudes down to the milli-magnitude level. The variability
properties are complemented with the positions in the color-magnitude and
color-color diagrams to classify periodic variable stars into distinct
variability types.
  Results. We find a large population (36 stars) of new variable stars between
the red edge of slowly pulsating B (SPB) stars and the blue edge of delta Sct
stars, a region in the Hertzsprung-Russell (HR) diagram where no pulsation is
predicted to occur based on standard stellar models. The bulk of their periods
ranges from 0.1 to 0.7 d, with amplitudes between 1 and 4 mmag for the majority
of them. About 20% of stars in that region of the HR diagram are found to be
variable, but the number of members of this new group is expected to be higher,
with amplitudes below our milli-magnitude detection limit.
  The properties of this new group of variable stars are summarized, and
arguments set forth in favor of a pulsation origin of the variability, with
g-modes sustained by stellar rotation. Potential members of this new class of
low-amplitude periodic (most probably pulsating) A and late-B variables in the
literature are discussed.
  We additionally identify 16 eclipsing binary, 13 SPB, 14 delta Sct and 12
gamma Dor candidates, as well as 72 fainter periodic variables. All are new
discoveries.
  Conclusions. We encourage to search for the existence of this new class of
variables in other young open clusters, especially in those hosting a rich
population of Be stars.


title:
Organization of strongly interacting directed polymer liquids in the
  presence of stringent constraints

abstract:
  The impact of impenetrable obstacles on the energetics and equilibrium
structure of strongly repulsive directed polymers is investigated. As a result
of the strong interactions, regions of severe polymer depletion and excess are
found in the vicinity of the obstacle, and the associated free-energy cost is
found to scale quadratically with the average polymer density. The
polymer-polymer interactions are accounted for via a sequence of
transformations: from the 3D line liquid to a 2D fluid of Bose particles to a
2D composite fermion fluid and, finally, to a 2D one-component plasma. The
results presented here are applicable to a range of systems consisting of
noncrossing directed lines.


title:
Eigenvalue estimates for a class of elliptic differential operators on
  compact manifolds

abstract:
  The motivation of this paper is to study a second order elliptic operator
which appears naturally in Riemannian geometry, for instance in the study of
hypersurfaces with constant $r$-mean curvature. We prove a generalized
Bochner-type formula for such a kind of operators and as applications we obtain
some sharp estimates for the first nonzero eigenvalues in two special cases.
These results can be considered as generalizations of the Lichnerowicz-Obata
Theorem.


title:
A Time-Scale Variational Approach to Inflation, Unemployment and Social
  Loss

abstract:
  Both inflation and unemployment inflict social losses. When a tradeoff exists
between the two, what would be the best combination of inflation and
unemployment? A well known approach in economics to address this question
consists to write the social loss as a function of the rate of inflation $p$
and the rate of unemployment $u$, with different weights, and then, using known
relations between $p$, $u$, and the expected rate of inflation $\pi$, to
rewrite the social loss function as a function of $\pi$. The answer is achieved
by applying the theory of the calculus of variations in order to find an
optimal path $\pi$ that minimizes the total social loss over a given time
interval. Economists dealing with this question use a continuous or a discrete
variational problem. Here we propose to use a time-scale model, unifying
available results in the literature. Moreover, the new formalism allow us to
obtain new insights to the classical models when applied to real data of
inflation and unemployment.


title: Higgs Measurements at a Muon Collider

abstract:
  In light of the recent discovery of an approximately 126 GeV Higgs boson at
the LHC, the particle physics community is beginning to explore the
possibilities for a next-generation Higgs factory particle accelerator. In this
report we study the s-channel resonant Higgs boson production and Standard
Model backgrounds at a proposed \mu+\mu- collider Higgs factory operating at
center-of-mass energy sqrt(s) = M_H with a beam width of 4.2 MeV. We study
PYTHIA-generated Standard Model Higgs and background events at the generator
level to identify and evaluate important channels for discovery and measurement
of the Higgs mass, width, and branching ratios. We find that the H^0 -> bb and
H^0 -> WW^* channels are the most useful for locating the Higgs peak. With an
integrated luminosity of 1 fb^-1 we can measure a 126 GeV Standard Model Higgs
mass accurately to within 0.25 MeV and its total width to within 0.45 MeV. Our
results demonstrate the value of the high Higgs cross section and narrow beam
resolution potentially achievable at a muon collider.


title: 4DVAR by ensemble Kalman smoother

abstract:
  We propose to use the ensemble Kalman smoother (EnKS) as linear least squares
solver in the Gauss-Newton method for the large nonlinear least squares in
incremental 4DVAR. The ensemble approach is naturally parallel over the
ensemble members and no tangent or adjoint operators are needed. Further,
adding a regularization term results in replacing the Gauss-Newton method,
which may diverge, by^M the Levenberg-Marquardt method, which is known to be
convergent. The regularization is implemented efficiently as an additional
observation in the EnKS.


title:
The distribution of points on curves over finite fields in some small
  rectangles

abstract:
  Let $p$ be a prime. We study the distribution of points on a class of curves
$C$ over $\mathbb{F}_p$ inside very small rectangles $B$ for which the Weil
bound fails to give nontrivial information. In particular, we show that the
distribution of points on $C$ over some long rectangles is Gaussian.


title:
Nonuniqueness in Vector-Valued Calculus of Variations in $L^\infty$ and
  some Linear Elliptic Systems

abstract:
  For a Hamiltonian $H \in C^2(\mathbb{R}^{N \times n})$ and a map $u:\Omega
\subseteq \mathbb{R}^n /!\longrightarrow \mathbb{R}^N$, we consider the
supremal functional \[ \label{1} \tag{1} E_\infty (u,\Omega) \ :=\
\big\|H(Du)\big\|_{L^\infty(\Omega)} . \] The "Euler-Lagrange" PDE associated
to \eqref{1} is the quasilinear system \[ \label{2} \tag{2} A_\infty u :=
\Big(H_P \otimes H_P + H[H_P]^\bot /! H_{PP}\Big)(Du):D^2 u = 0. \] \eqref{1}
and \eqref{2} are the fundamental objects of vector-valued Calculus of
Variations in $L^\infty$ and first arose in recent work of the author [K1].
Herein we show that the Dirichlet problem for \eqref{2} admits for all $n=N\geq
2$ infinitely-many smooth solutions on the punctured ball, in the case of
$H(P)=|P|^2$ for the $\infty$-Laplacian and of $H(P)= {|P|^2}{\det(P^\top /!
P)^{-1/n}}$ for optimised Quasiconformal maps. Nonuniqueness for the linear
degenerate elliptic system $A(x):D^2u =0$ follows as a corollary. Hence, the
celebrated $L^\infty$ scalar uniqueness theory of Jensen [J] has no counterpart
when $N\geq 2$. The key idea in the proofs is to recast \eqref{2} as a first
order differential inclusion $Du(x) \in \mathcal{K} \subseteq
\mathbb{R}^{n\times n}$, $x\in \Omega$.


title: A class of $n$-entire Schr\"odinger operators

abstract:
  We study singular Schr\"odinger operators on a finite interval as selfadjoint
extensions of a symmetric operator. We give sufficient conditions for the
symmetric operator to be in the $n$-entire class, which was defined in our
previous work, for some $n$. As a consequence of this classification, we obtain
a detailed spectral characterization for a wide class of radial Schr\"odinger
operators. The results given here make use of de Branges Hilbert space
techniques.


title: Two-dimensional regularity and exactness

abstract:
  We define notions of regularity and (Barr-)exactness for 2-categories. In
fact, we define three notions of regularity and exactness, each based on one of
the three canonical ways of factorising a functor in Cat: as (surjective on
objects, injective on objects and fully faithful), as (bijective on objects,
fully faithful), and as (bijective on objects and full, faithful). The
correctness of our notions is justified using the theory of lex colimits
introduced by Lack and the second author. Along the way, we develop an abstract
theory of regularity and exactness relative to a kernel--quotient
factorisation, extending earlier work of Street and others.


title:
Weak solution method of the non-perturbative renormalization group
  equation to describe dynamical chiral symmetry breaking and its application
  to beyond the ladder analysis in QCD

abstract:
  The method of non-perturbative renormalization group (NPRG) is applied to the
analysis of dynamical chiral symmetry breaking (DCSB) in QCD. We show that the
DCSB solution of the NPRG flow equation can be obtained without the
bosonization. The solution, having the singular point, can be authorized as the
weak solution of partial differential equation, and can be easily evaluated
using the method of the characteristic curve. Also we show that our non-ladder
extended approximation improves almost perfectly the gauge dependence of the
chiral condensates.


title:
On dB spaces with nondensely defined multiplication operator and the
  existence of zero-free functions

abstract:
  In this work we consider de Branges spaces where the multiplication operator
by the independent variable is not densely defined. First, we study the
canonical selfadjoint extensions of the multiplication operator as a family of
rank-one perturbations from the viewpoint of the theory of de Branges spaces.
Then, on the basis of the obtained results, we provide new necessary and
sufficient conditions for a real, zero-free function to lie in a de Branges
space.


title: On Refinements of Boolean and Parametric Modal Transition Systems

abstract:
  We consider the extensions of modal transition systems (MTS), namely Boolean
MTS and parametric MTS and we investigate the refinement problems over both
classes. Firstly, we reduce the problem of modal refinement over both classes
to a problem solvable by a QBF solver and provide experimental results showing
our technique scales well. Secondly, we extend the algorithm for thorough
refinement of MTS providing better complexity then via reductions to previously
studied problems. Finally, we investigate the relationship between modal and
thorough refinement on the two classes and show how the thorough refinement can
be approximated by the modal refinement.


title:
Meson Decays in an Extended Nambu--Jona-Lasinio model with Heavy Quark
  Flavors

abstract:
  In a previous work, we proposed an extended Nambu--Jona-Lasinio (NJL) model
including heavy quark flavors. In this work, we will calculate strong and
radiative decays of vector mesons in this extended NJL model, including light
$\rho$, $\omega$, $K^*$, $\phi$ and heavy $D^*$, $D^*_s$, $B^*$, $B^*_s$.


title: Keck Observations of the Galactic Center Source G2: Gas Cloud or Star?

abstract:
  We present new observations and analysis of G2 - the intriguing red
emission-line object which is quickly approaching the Galaxy's central black
hole. The observations were obtained with the laser guide star adaptive optics
systems on the W. M. Keck I and II telescopes and include spectroscopy (R ~
3600) centered on the Hydrogen Br-gamma line as well as K' (2.1 micrometer) and
L' (3.8 micrometer) imaging. Analysis of these observations shows the Br-gamma
line emission has a positional offset from the L' continuum. This offset is
likely due to background source confusion at L'. We therefore present the first
orbital solution derived from Br-gamma line astrometry, which when coupled with
radial velocity measurements, results in a later time of closest approach
(2014.21 +/- 0.14), closer periastron (130 AU, 1900Rs), and higher eccentricity
(0.9814 +/- 0.0060) compared to a solution using L' astrometry. The new orbit
casts doubt on previous associations of G2 and a low surface brightness "tail".
It is shown that G2 has no K' counterpart down to K' ~ 20 mag. G2's L'
continuum and the Br-gamma line-emission is unresolved in almost all epochs;
however it is marginally extended in our highest quality Br-gamma data set from
2006 and exhibits a clear velocity gradient at that time. While the
observations altogether suggest that G2 has a gaseous component which is
tidally interacting with the central black hole, there is likely a central star
providing the self-gravity necessary to sustain the compact nature of this
object.


title:
Automata with Generalized Rabin Pairs for Probabilistic Model Checking
  and LTL Synthesis

abstract:
  The model-checking problem for probabilistic systems crucially relies on the
translation of LTL to deterministic Rabin automata (DRW). Our recent Safraless
translation for the LTL(F,G) fragment produces smaller automata as compared to
the traditional approach. In this work, instead of DRW we consider
deterministic automata with acceptance condition given as disjunction of
generalized Rabin pairs (DGRW). The Safraless translation of LTL(F,G) formulas
to DGRW results in smaller automata as compared to DRW. We present algorithms
for probabilistic model-checking as well as game solving for DGRW conditions.
Our new algorithms lead to improvement both in terms of theoretical bounds as
well as practical evaluation. We compare PRISM with and without our new
translation, and show that the new translation leads to significant
improvements.


title: A Generalized Fractional Calculus of Variations

abstract:
  We study incommensurate fractional variational problems in terms of a
generalized fractional integral with Lagrangians depending on classical
derivatives and generalized fractional integrals and derivatives. We obtain
necessary optimality conditions for the basic and isoperimetric problems,
transversality conditions for free boundary value problems, and a generalized
Noether type theorem.


title: Spiralling dynamics near heteroclinic networks

abstract:
  There are few explicit examples in the literature of vector fields exhibiting
complex dynamics that may be proved analytically. We construct explicitly a
{two parameter family of vector fields} on the three-dimensional sphere
$\EU^3$, whose flow has a spiralling attractor containing the following: two
hyperbolic equilibria, heteroclinic trajectories connecting them {transversely}
and a non-trivial hyperbolic, invariant and transitive set. The spiralling set
unfolds a heteroclinic network between two symmetric saddle-foci and contains a
sequence of topological horseshoes semiconjugate to full shifts over an
alphabet with more and more symbols, {coexisting with Newhouse phenonema}. The
vector field is the restriction to $\EU^3$ of a polynomial vector field in
$\RR^4$. In this article, we also identify global bifurcations that induce
chaotic dynamics of different types.


title: Distribution of Scattering Matrix Elements in Quantum Chaotic Scattering

abstract:
  Scattering is an important phenomenon which is observed in systems ranging
from the micro- to macroscale. In the context of nuclear reaction theory the
Heidelberg approach was proposed and later demonstrated to be applicable to
many chaotic scattering systems. To model the universal properties,
stochasticity is introduced to the scattering matrix on the level of the
Hamiltonian by using random matrices. A long-standing problem was the
computation of the distribution of the off-diagonal scattering-matrix elements.
We report here an exact solution to this problem and present analytical results
for systems with preserved and with violated time-reversal invariance. Our
derivation is based on a new variant of the supersymmetry method. We also
validate our results with scattering data obtained from experiments with
microwave billiards.

categories: cond-mat.stat-mech math-ph math.MP nlin.CD quant-ph


title: Nonlinear geometric optics for reflecting uniformly stable pulses

abstract:
  We provide a justification with rigorous error estimates showing that the
leading term in weakly nonlinear geometric optics expansions of highly
oscillatory reflecting pulses is close to the uniquely determined exact
solution for small wavelengths. Pulses reflecting off fixed noncharacteristic
boundaries are considered under the assumption that the underlying boundary
problem is uniformly spectrally stable in the sense of Kreiss. There are two
respects in which these results make rigorous earlier formal treatments of
pulses. First, we give a rigorous construction of leading pulse profiles in
problems where pulses traveling with many distinct group velocities are,
unavoidably, present; and second, we provide a rigorous error analysis which
yields a rate of convergence of approximate to exact solutions as the
wavelength approaches zero. Unlike wavetrains, interacting pulses do not
produce resonances that affect leading order profiles. However, our error
analysis shows the importance of estimating pulse interactions in the
construction and estimation of correctors. Our results apply to a general class
of systems that includes quasilinear problems like the compressible Euler
equations; moreover, the same methods yield a stability result for uniformly
stable Euler shocks perturbed by highly oscillatory pulses.


title:
Elastic demand dynamic network user equilibrium: Formulation, existence
  and computation

abstract:
  This paper is concerned with dynamic user equilibrium with elastic travel
demand (E-DUE) when the trip demand matrix is determined endogenously. We
present an infinite-dimensional variational inequality (VI) formulation that is
equivalent to the conditions defining a continuous-time E-DUE problem. An
existence result for this VI is established by applying a fixed-point existence
theorem (Browder, 1968) in an extended Hilbert space. We present three
algorithms based on the aforementioned VI and its re-expression as a
differential variational inequality (DVI): a projection method, a self-adaptive
projection method, and a proximal point method. Rigorous convergence results
are provided for these methods, which rely on increasingly relaxed notions of
generalized monotonicity, namely mixed strongly-weakly monotonicity for the
projection method; pseudomonotonicity for the self-adaptive projection method,
and quasimonotonicity for the proximal point method. These three algorithms are
tested and their solution quality, convergence, and computational efficiency
compared. Our convergence results, which transcend the transportation
applications studied here, apply to a broad family of infinite-dimensional VIs
and DVIs, and are the weakest reported to date.


title:
A variant of H\"ormander's $L^2$ existence theorem for Dirac operator in
  Clifford analysis

abstract:
  In this paper, we give the H\"ormander's $L^2$ theorem for Dirac operator
over an open subset $\Omega\in\R^{n+1}$ with Clifford algebra. Some sufficient
condition on the existence of the weak solutions for Dirac operator has been
found in the sense of Clifford analysis. In particular, if $\Omega$ is bounded,
then we prove that for any $f$ in $L^2$ space with value in Clifford algebra,
there exists a weak solution of Dirac operator such that $$\bar{D}u=f$$ with
$u$ in the $L^2$ space as well. The method is based on H\"ormander's $L^2$
existence theorem in complex analysis and the $L^2$ weighted space is utilised.


title: The degree-2 Abel-Jacobi map for nodal curves - II

abstract:
  We construct a resolution of the degree-2 Abel-Jacobi map for a regular
smoothing of a nodal curve.


title: Split-by-nilpotent extensions algebras and stratifying systems

abstract:
  Let $\Gamma$ and $\Lambda$ be artin algebras such that $\Gamma$ is a
split-by-nilpotent extension of $\Lambda$ by a two sided ideal $I$ of $\Gamma.$
Consider the so-called change of rings functors
$G:={}_\Gamma\Gamma_\Lambda\otimes_\Lambda -$ and $F:={}_\Lambda
\Lambda_\Gamma\otimes_\Gamma -.$ In this paper, we find the necessary and
sufficient conditions under which a stratifying system $(\Theta,\leq)$ in
$\modu\Lambda$ can be lifted to a stratifying system $(G\Theta,\leq)$ in
$\modu\,(\Gamma).$ Furthermore, by using the functors $F$ and $G,$ we study the
relationship between their filtered categories of modules and some connections
with their corresponding standardly stratified algebras are stated. Finally, a
sufficient condition is given for stratifying systems in $\modu\,(\Gamma)$ in
such a way that they can be restricted, through the functor $F,$ to stratifying
systems in $\modu\,(\Lambda).$


title:
Spin-orbit alignment in the very low mass binary regime: The L dwarf
  tight binary 2MASSW J0746425+200032AB

abstract:
  Studies of solar-type binaries have found coplanarity between the equatorial
and orbital planes of systems with $<$40 AU separation. By comparison, the
alignment of the equatorial and orbital axes in the substellar regime, and the
associated implications for formation theory, are relatively poorly
constrained. Here we present the discovery of the rotation period of 3.32 $\pm$
0.15 hours from 2MASS J0746+20A - the primary component of a tight (2.7 AU)
ultracool dwarf binary system (L0+L1.5). The newly discovered period, together
with the established period via radio observations of the other component, and
the well constrained orbital parameters and rotational velocity measurements,
allow us to infer alignment of the equatorial planes of both components with
the orbital plane of the system to within 10 degrees. This result suggests that
solar-type binary formation mechanisms may extend down into the brown dwarf
mass range, and we consider a number of formation theories that may be
applicable in this case. This is the first such observational result in the
very low mass binary regime. In addition, the detected period of 3.32 $\pm$
0.15 hours implies that the reported radio period of 2.07 $\pm$ 0.002 hours is
associated with the secondary star, not the primary, as was previously claimed.
This in turn refutes the claimed radius of 0.78 $\pm$ 0.1 $R_{J}$ for 2MASS
J0746+20A, which we demonstrate to be 0.99 $\pm$ 0.03 $R_{J}$.


title: Boolean and Non-Boolean Computation With Spin Devices

abstract:
  Recently several device and circuit design techniques have been explored for
applying nano-magnets and spin torque devices like spin valves and domain wall
magnets in computational hardware. However, most of them have been focused on
digital logic, and, their benefits over robust and high performance CMOS
remains debatable. Ultra-low voltage, current-switching operation of
magneto-metallic spin torque devices can potentially be more suitable for
non-Boolean computation schemes that can exploit current-mode analog
processing. Device circuit co-design for different classes of
non-Boolean-architectures using spin-torque based neuron models in spin-CMOS
hybrid circuits show that the spin-based non-Boolean designs can achieve
15X-100X lower computation energy for applications like, image-processing,
data-conversion, cognitive-computing, pattern matching and programmable-logic,
as compared to state of art CMOS designs.


title: A generalised Kotz type distribution and Riesz distribution

abstract:
  This article derives the distribution of random matrix $\mathbf{X}$
associated with the transformation $\mathbf{Y} = \mathbf{X}^{*}\mathbf{X}$,
such that $\mathbf{Y}$ has a Riesz distribution for real normed division
algebras. Two versions of this distributions are proposed and some of their
properties are studied.


title: Spin degeneracy in multi-hadron systems with a heavy quark

abstract:
  We study multi-hadron systems with a single heavy quark (charm or bottom) in
the limit of heavy quark mass. The spin degeneracy of the states with quantum
numbers $(j+1/2)^{P}$ and $(j-1/2)^{P}$ for $j \neq 0$, known in a normal
hadron, can be generalized to multi-hadron systems. The spin degeneracy is the
universal phenomena for any multi-hadron systems with a single heavy quark,
irrespective of their internal structures, including compact multi-quarks,
hadronic molecules and exotic nuclei. We demonstrate the spin degeneracy in the
hadronic systems formed by a heavy hadron effective theory; $P^{(\ast)}N$
states with a $P^{(\ast)}=\bar{D}^{(\ast)}$, $B^{(\ast)}$ meson and a nucleon
$N$, and a $P^{(\ast)}$ meson in nuclear matter.


title: Finer Characterizations of Pure Bipartite Entanglement

abstract:
  A new criterion necessary and sufficient for the separability of pure
bipartite systems for arbitrary finite dimensions is demonstrated; and the
corresponding finer quantitative measures or characterizations of entanglement
(beyond mere separability or non-separability determination) are discussed.
Based on this criterion, we proved that the well-known Peres-Horodecki
positivity-of-partial-transform criterion is also necessary and sufficient for
separability in the case of pure bipartite systems. The maximum value of
entanglement, and the corresponding maximally-entangled states are also worked
out in detail.


title: Homological systems in triangulated categories

abstract:
  We introduce the notion of homological systems $\Theta$ for triangulated
categories. Homological systems generalize, on one hand, the notion of
stratifying systems in module categories, and on the other hand, the notion of
exceptional sequences in triangulated categories. We prove that, attached to
the homological system $\Theta,$ there are two standardly stratified algebras
$A$ and $B,$ which are derived equivalent. Furthermore, it is proved that the
category $\F(\Theta),$ of the $\Theta$-filtered objects in a triangulated
category $\T,$ admits in a very natural way an structure of an exact category,
and then there are exact equivalences between the exact category $\F(\Theta)$
and the exact categories of the $\Delta$-good modules associated to the
standardly stratified algebras $A$ and $B.$ Some of the obtained results can be
seen also under the light of the cotorsion pairs in the sense of
Iyama-Nakaoka-Yoshino (see \ref{CotorsionThetaSys1} and
\ref{CotorsionThetaSys2}). We recall that cotorsion pairs are studied
extensively in relation with cluster tilting categories, $t$-structures and
co-$t$-structures.


title:
Self-force gravitational waveforms for extreme and intermediate mass
  ratio inspirals. II: Importance of the second-order dissipative effect

abstract:
  We consider the importance of the second-order dissipative self force for
gravitational wave dephasing for an extreme or intermediate mass ratio system
moving along a quasi-circular Schwarzschild orbit. For the first-order self
force we use the fully relativistic force in the Lorenz gauge for eternally
circular geodesics. The second-order self force is modeled by its 3.5 post
Newtonian counterpart. We evolve the system using the osculating orbits method,
and obtain the gravitational waveforms, whose phase includes all the terms -
within our approximation (and using the self force along circular geodesics) -
that are independent of the system's mass ratio. The partial dephasing due to
the second-order dissipative self force is substantially smaller than that of
the first-order conservative self force, although they are both at the same
order in the mass ratio.


title:
Shifting Role of Customer from Recipient To Partner of Care In
  Healthcare Organization

abstract:
  Most recent e-health initiatives perceive customers (patients) as recipients
of medical care where they do not have a significant role in the process of
health decision making. However, the advancement of Web 2.0 offers patients to
have a greater role in the decision making process related to their health as
they can be empowered with the ability to access and control information that
fits with their personalized needs. However, providing patient empowerment in
e-health through Web 2.0 is challenging task because the complexity nature of
healthcare business processes. Empowerment closely relates to the concept of
Customer Relationship Management (CRM) in managing good relationships with the
customers. The adoption of Web 2.0 in CRM systems is known as Social CRM or CRM
2.0. Social CRM emerges to accommodate dynamic means of interaction between
patients with their healthcare providers. The aim of this paper is to present a
model that embeds empowerment of patient through Social CRM intervention that
may extend the role of the patient as an individual health actor, a social
health agent, and a medical care partner. A survey has been conducted to gain a
feedback from customers regarding the proposed model. A prototype derived from
the model namely Clinic 2.0 has also been developed. Using the prototype we
measure its impact towards customer satisfaction and health literacy. The
results show that the system intervention through Clinic 2.0 improves the level
of satisfaction and health literacy of participants.


title: On the symplectic cohomology of log Calabi-Yau surfaces

abstract:
  This article studies the symplectic cohomology of affine algebraic surfaces
that admit a compactification by a normal crossings anticanonical divisor.
Using a toroidal structure near the compactification divisor, we describe the
complex computing symplectic cohomology, and compute enough differentials to
identify a basis for the degree-zero part of the symplectic cohomology. This
basis is indexed by integral points in a certain integral affine manifold,
providing a relationship to the theta functions of Gross--Hacking--Keel.
Included is a discussion of wrapped Floer cohomology of Lagrangian submanifolds
and a description of the product structure in a special case. We also show
that, after enhancing the coefficient ring, the degree--zero symplectic
cohomology defines a family degenerating to a singular surface obtained by
gluing together several affine planes.


title: Austerity in MCMC Land: Cutting the Metropolis-Hastings Budget

abstract:
  Can we make Bayesian posterior MCMC sampling more efficient when faced with
very large datasets? We argue that computing the likelihood for N datapoints in
the Metropolis-Hastings (MH) test to reach a single binary decision is
computationally inefficient. We introduce an approximate MH rule based on a
sequential hypothesis test that allows us to accept or reject samples with high
confidence using only a fraction of the data required for the exact MH rule.
While this method introduces an asymptotic bias, we show that this bias can be
controlled and is more than offset by a decrease in variance due to our ability
to draw more samples per unit of time.


title:
Stellar Populations in Compact Galaxy Groups: a Multi-Wavelength Study
  of HCGs 16, 22, and 42, their Star Clusters and Dwarf Galaxies

abstract:
  We present a multi-wavelength analysis of three compact galaxy groups, HCGs
16, 22, and 42, which describe a sequence in terms of gas richness, from space-
(Swift, HST, Spitzer) and ground-based (LCO, CTIO) imaging and spectroscopy. We
study various signs of past interactions including a faint, dusty tidal feature
about HCG 16A, which we tentatively age-date at <1 Gyr. This represents the
possible detection of a tidal feature at the end of its phase of optical
observability. Our HST images also resolve what were thought to be double
nuclei in HCG 16C and D into multiple, distinct sources, likely to be star
clusters. Beyond our phenomenological treatment, we focus primarily on
contrasting the stellar populations across these three groups. The star
clusters show a remarkable intermediate-age population in HCG 22, and identify
the time at which star formation was quenched in HCG 42. We also search for
dwarf galaxies at accordant redshifts. The inclusion of 33 members and 27
'associates' (possible members) radically changes group dynamical masses, which
in turn may affect previous evolutionary classifications. The extended
membership paints a picture of relative isolation in HCGs 16 and 22, but shows
HCG 42 to be part of a larger structure, following a dichotomy expected from
recent studies. We conclude that (a) star cluster populations provide an
excellent metric of evolutionary state, as they can age-date the past epochs of
star formation; and (b) the extended dwarf galaxy population must be considered
in assessing the dynamical state of a compact group.


title:
Improved sensitivity of magnetic measurements under high pressure in
  miniature ceramic anvil cell for a commercial SQUID magnetometer

abstract:
  Two modifications have been made to a miniature ceramic anvil high pressure
cell (mCAC) designed for magnetic measurements at pressures up to 12.6 GPa in a
commercial superconducting quantum interference (SQUID) magnetometer [N.
Tateiwa et al., Rev. Sci. Instrum. 82, 053906 (2011)., ibid. 83, 053906
(2012)]. Replacing the Cu-Be piston in the former mCAC with a composite piston
composed of the Cu-Be and ceramic cylinders reduces the background
magnetization significantly smaller at low temperatures, enabling more precise
magnetic measurements at low temperatures. A second modification to the mCAC is
the utilization of a ceramic anvil with a hollow in the center of the culet
surface. High pressures up to 5 GPa were generated with the "cupped ceramic
anvil" with the culet size of 1.0 mm.


title:
"Superluminal" FITS File Processing on Multiprocessors: Zero Time Endian
  Conversion Technique

abstract:
  The FITS is the standard file format in astronomy, and it has been extended
to agree with astronomical needs of the day. However, astronomical datasets
have been inflating year by year. In case of ALMA telescope, a ~ TB scale
4-dimensional data cube may be produced for one target. Considering that
typical Internet bandwidth is a few 10 MB/s at most, the original data cubes in
FITS format are hosted on a VO server, and the region which a user is
interested in should be cut out and transferred to the user (Eguchi et al.,
2012). The system will equip a very high-speed disk array to process a TB scale
data cube in a few 10 seconds, and disk I/O speed, endian conversion and data
processing one will be comparable. Hence to reduce the endian conversion time
is one of issues to realize our system. In this paper, I introduce a technique
named "just-in-time endian conversion", which delays the endian conversion for
each pixel just before it is really needed, to sweep out the endian conversion
time; by applying this method, the FITS processing speed increases 20% for
single threading, and 40% for multi-threading compared to CFITSIO. The speed-up
by the method tightly relates to modern CPU architecture to improve the
efficiency of instruction pipelines due to break of "causality", a programmed
instruction code sequence.


title:
Robust spin fluctuations and $s\pm$ pairing in the heavily electron
  doped iron-based superconductors

abstract:
  We theoretically study the spin fluctuation and superconductivity in La1111
and Sm1111 iron-based superconductors for a wide range of electron doping. When
we take into account the band structure variation by electron doping, the hole
Fermi surface originating from the $d_{X^2-Y^2}$ orbital turns out to be robust
against electron doping, and this gives rise to large spin fluctuations and
consequently $s\pm$ pairing even in the heavily doped regime. The stable hole
Fermi surface is larger for Sm1111 than for La1111, which can be considered as
the origin of the apparent difference in the phase diagram.


title: Exclusion and Guard Zones in DC-CDMA Ad Hoc Networks

abstract:
  The central issue in direct-sequence code-division multiple-access (DS-CDMA)
ad hoc networks is the prevention of a near-far problem. This paper considers
two types of guard zones that may be used to control the near-far problem: a
fundamental exclusion zone and an additional CSMA guard zone that may be
established by the carrier-sense multiple-access (CSMA) protocol. In the
exclusion zone, no mobiles are physically present, modeling the minimum
physical separation among mobiles that is always present in actual networks.
Potentially interfering mobiles beyond a transmitting mobile's exclusion zone,
but within its CSMA guard zone, are deactivated by the protocol. This paper
provides an analysis of DS-CSMA networks with either or both types of guard
zones. A network of finite extent with a finite number of mobiles and uniform
clustering as the spatial distribution is modeled. The analysis applies a
closed-form expression for the outage probability in the presence of Nakagami
fading, conditioned on the network geometry. The tradeoffs between exclusion
zones and CSMA guard zones are explored for DS-CDMA and unspread networks. The
spreading factor and the guard-zone radius provide design flexibility in
achieving specified levels of average outage probability and transmission
capacity. The advantage of an exclusion zone over a CSMA guard zone is that
since the network is not thinned, the number of active mobiles remains
constant, and higher transmission capacities can be achieved.


title: On radii of spheres determined by subsets of Euclidean space

abstract:
  In this paper we consider the problem of how large the Hausdorff dimension of
$E\subset\R^d$ needs to be in order to ensure that the radii set of
$(d-1)$-dimensional spheres determined by $E$ has positive Lebesgue measure. We
also study the question of how often can a neighborhood of a given radius
repeat. We obtain two results. First, by applying a general mechanism developed
in \cite{mul} for studying Falconer-type problems, we prove that a neighborhood
of a given radius cannot repeat more often than the statistical bound if
$\dH(E)>d-1+\frac{1}{d}$; In $\R^2$, the dimensional threshold is sharp.
Second, by proving an intersection theorem, we prove for a.e $a\in\R^d$, the
radii set of $(d-1)$-spheres with center $a$ determined by $E$ must have
positive Lebesgue measure if $\dH(E)>d-1$, which is a sharp bound for this
problem.


title:
Determination of the mass hierarchy with medium-baseline
  reactor-neutrino experiments

abstract:
  I discuss the sensitivity of future medium baseline reactor antineutrino
experiments on the neutrino mass hierarchy. By using the standard chi^2
analysis, we find that the sensitivity depends strongly on the baseline length
L and the energy resolution (delta E/E)^2 = (a/ E/MeV)^2 + b^2, where a and b
parameterize the statistical and systematic uncertainties, respectively. The
optimal length is found to be L ~ 40-55 km, the larger resolution the shorter
optimal L. For a 5 kton detector (with 12% weight fraction of free proton)
placed at L ~ 50 km away from a 20 GW_th reactor, an experiment would determine
the mass hierarchy with (Delta chi^2)_min ~ 9 on average after 5 (15) or more
years of running with the (a, b) = (2, 0.5)% ((3, 0.5)%) energy resolution.
This type of experiment can also measure the relevant mixing parameters with
the accuracy of ~ 0.5%.


title:
First Principles Calculation of Magnetocrystalline Anisotropy Energy of
  MnBi and MnB_{1-x}Sn_x

abstract:
  We calculated the magnetic anisotropy constant Ku of MnBi using a first
principles approach, and obtained a negative Ku in agreeable with experimental
results. Furthermore, we also found a band filling dependence indicating that a
slight decrease in the valence electron number will change Ku from negative to
positive. When some of the Bi is replaced with Sn to decrease the valence
electron number, the Ku value of MnBi1-xSnx drastically changes to a positive
value, Ku~2 MJ/m3, for x > 0.05.


title:
Dissipation of the Rabi model beyond the rotating wave approximation:
  Quasi-degenerate qubit and ultra-strong coupling

abstract:
  Environmental influences on the dynamics of a coupled qubit-oscillator system
are studied analytically. We investigate the case of a quasi-degenerate qubit
within the ultra-strong coupling regime for which the qubit frequency is much
smaller than the frequency of the oscillator, and the coupling between the
qubit and the oscillator is large, both of which invalidate the usually
employed rotating wave approximation. In contrast to the standard quantum
optics master equation, we explicitly take the qubit-oscillator coupling into
account while microscopically deriving a dressed state master equation. Using
the derived master equation, we discuss a spectroscopic technique which can be
used to probe the dressed energy level structure of the qubit-oscillator
system.


title: The Wheeler-DeWitt equation of $f(R,L_m)$ gravity in minisuperspace

abstract:
  In this paper we present the Wheeler-DeWitt equation of $f(R,L_m)$ gravity in
flat FRW universe, which is the first step of the study of quantum $f(R,L_m)$
cosmology. In the minisuperspace spanned by the FRW scale factor $a$ and the
Ricci scalar $R$, we explicitly examine and verify the equivalence of the
reduced action. We then canonical quantize the $f(R,L_m)$ model and derive the
corresponding Wheeler-DeWitt equation.


title: The first Dirichlet eigenvalue of birth-death process on tree

abstract:
  This paper investigates the birth-death ("B-D" for short) process on tree
with continuous time, emphasizing on estimating the principal eigenvalue
(equivalently, the convergence rate) of the process with Dirichlet boundary at
the unique root 0. Three kinds of variational formulas for the eigenvalue are
presented. As an application, we obtain a criterion for positivity of the first
eigenvalue for B-D processes on tree with one branch after some layer.


title:
Explicit force formlulas for two dimensional potential flow with
  multiple bodies and multiple free vortices

abstract:
  For problems with multiple bodies, the current integral approach needs the
use of auxiliary potential functions in order to have an individual force
formula for each body. While the singularity approach, based on an extension of
the unsteady Lagally theorem, is restricted to multibody and multivortex flows
without bound vortex and vortex production. In this paper, we consider
multibody and multivortex flow and derive force formulas, in both forms of
singularity approach and integral approach but without auxiliary function, that
give individual forces of each body for unsteady two dimensional potential flow
with vortex production on the surface of bodies. A number of problems,
including Karman vortex street, Wagner problem of impulsively starting flow,
interaction of two circular cylinders with circulation, and interaction of an
airfoil with a bound vortex, are used to validate the force formulas.


title: Evidence for the decay B0 --> K+K-pi0

abstract:
  We report a search for charmless hadronic decays of neutral B mesons to the
final state K+K-pi0. The results are based on a 711 fb^-1 data sample that
contains 772x10^6 BB-bar pairs, and was collected at the Y(4S) resonance with
the Belle detector at the KEKB asymmetric-energy e+e- collider. We find the
first evidence for this decay with a significance of 3.5 standard deviations
and measure its branching fraction as BF(B0 --> K+K-pi0) = [2.17 +/- 0.60(stat)
+/- 0.24 (syst)]x10^-6.


title: Trust Management Model for Cloud Computing Environment

abstract:
  Software as a service or (SaaS) is a new software development and deployment
paradigm over the cloud and offers Information Technology services dynamically
as "on-demand" basis over the internet. Trust is one of the fundamental
security concepts on storing and delivering such services. In general, trust
factors are integrated into such existent security frameworks in order to add a
security level to entities collaborations through the trust relationship.
However, deploying trust factor in the secured cloud environment are more
complex engineering task due to the existence of heterogeneous types of service
providers and consumers. In this paper, a formal trust management model has
been introduced to manage the trust and its properties for SaaS in cloud
computing environment. The model is capable to represent the direct trust,
recommended trust, reputation etc. formally. For the analysis of the trust
properties in the cloud environment, the proposed approach estimates the trust
value and uncertainty of each peer by computing decay function, number of
positive interactions, reputation factor and satisfaction level for the
collected information.


title: Derived Representation Schemes and Noncommutative Geometry

abstract:
  Some 15 years ago M. Kontsevich and A. Rosenberg [KR] proposed a heuristic
principle according to which the family of schemes ${Rep_n(A)}$ parametrizing
the finite-dimensional represen- tations of a noncommutative algebra A should
be thought of as a substitute or "approximation" for Spec(A). The idea is that
every property or noncommutative geometric structure on A should induce a
corresponding geometric property or structure on $Rep_n(A)$ for all n. In
recent years, many interesting structures in noncommutative geometry have
originated from this idea. In practice, however, if an associative algebra A
possesses a property of geometric nature (e.g., A is a NC complete
intersection, Cohen-Macaulay, Calabi-Yau, etc.), it often happens that, for
some n, the scheme $Rep_n(A)$ fails to have the corresponding property in the
usual algebro-geometric sense. The reason for this seems to be that the
representation functor $Rep_n$ is not "exact" and should be replaced by its
derived functor $DRep_n$ (in the sense of non-abelian homological algebra). The
higher homology of $DRep_n(A)$, which we call representation homology,
obstructs $Rep_n(A)$ from having the desired property and thus measures the
failure of the Kontsevich-Rosenberg "approximation." In this paper, which is
mostly a survey, we prove several results confirming this intuition. We also
give a number of examples and explicit computations illustrating the theory
developed in [BKR] and [BR].


title:
Quality-Aware Coding and Relaying for 60 GHz Real-Time Wireless Video
  Broadcasting

abstract:
  Wireless streaming of high-definition video is a promising application for 60
GHz links, since multi-Gigabit/s data rates are possible. In particular we
consider a sports stadium broadcasting system where video signals from multiple
cameras are transmitted to a central location. Due to the high pathloss of
60\,GHz radiation over the large distances encountered in this setting, the use
of relays is required. This paper designs a quality-aware coding and relaying
algorithm for maximization of the overall video quality. We consider the
setting that the source can split its data stream into parallel streams, which
can be transmitted via different relays to the destination. For this, we derive
the related formulation and re-formulate it as convex programming, which can
guarantee optimal solutions.


title: On Margulis cusps of hyperbolic 4-manifolds

abstract:
  We study the geometry of the Margulis region associated with an irrational
screw translation $g$ acting on the 4-dimensional real hyperbolic space. This
is an invariant domain with the parabolic fixed point of $g$ on its boundary
which plays the role of an invariant horoball for a translation in dimensions
$\leq 3$. The boundary of the Margulis region is described in terms of a
function $B_\alpha : [0,\infty) \to {\mathbb R}$ which solely depends on the
rotation angle $\alpha \in {\mathbb R}/{\mathbb Z}$ of $g$. We obtain an
asymptotically universal upper bound for $B_\alpha(r)$ as $r \to \infty$ for
arbitrary irrational $\alpha$, as well as lower bounds when $\alpha$ is
Diophatine and the optimal bound when $\alpha$ is of bounded type. We
investigate the implications of these results for the geometry of Margulis
cusps of hyperbolic 4-manifolds that correspond to irrational screw
translations acting on the universal cover. Among other things, we prove
bi-Lipschitz rigidity of these cusps.


title:
K model for designing Data Driven Test Automation Frameworks and its
  Design Architecture Snow Leopard

abstract:
  Automated testing improves the efficiency of testing practice at various
levels of projects in the organization. Unfortunately, we do not have a common
architecture or common standards for designing frameworks across different test
levels, projects and test tools which can assist developers, testers and
business analysts. To address the above problem, in this paper, I have first
proposed a unique reference model and then a design architecture using the
proposed model for designing any Data Driven Automation Frameworks. The
reference model is K model which can be used for modeling any data-driven
automation framework. The unique Design architecture, based on above model is
Snow Leopard.


title:
Multi-mode theory of pulsed twin beams generation using a high gain
  fiber optical parametric amplifier

abstract:
  Using the Bogoliubov transformation in multi-frequency modes to describe the
evolution of the non-degenerate signal and idler twin beams, we theoretically
investigate the quantum noise properties of the pulse pumped high gain fiber
optical parametric amplifiers (FOPA). The results show that the noise figure of
the FOPA is generally greater than the 3 dB quantum limit unless the joint
spectral function is factorable and the spectrum of the input signal well
matches the gain spectrum in the signal band. However, the intensity difference
noise of the twin beams, which weakly depends on the joint spectral function,
can be significantly less than the shot-noise limit when the temporal modes of
the pump and the input signal are properly matched. Moreover, to closely
resemble the real experimental condition, the quantum noise of twin beams
generated from a broadband FOPA is numerically studied by taking the various
kinds of experimental imperfections into account. Our study is not only useful
for developing a compact fiber source of twin beams, but also helpful for
understanding the quantum noise limit of a pulse pumped FOPA in the fiber
communication system.


title:
A Joint Intensity and Depth Co-Sparse Analysis Model for Depth Map
  Super-Resolution

abstract:
  High-resolution depth maps can be inferred from low-resolution depth
measurements and an additional high-resolution intensity image of the same
scene. To that end, we introduce a bimodal co-sparse analysis model, which is
able to capture the interdependency of registered intensity and depth
information. This model is based on the assumption that the co-supports of
corresponding bimodal image structures are aligned when computed by a suitable
pair of analysis operators. No analytic form of such operators exist and we
propose a method for learning them from a set of registered training signals.
This learning process is done offline and returns a bimodal analysis operator
that is universally applicable to natural scenes. We use this to exploit the
bimodal co-sparse analysis model as a prior for solving inverse problems, which
leads to an efficient algorithm for depth map super-resolution.


title: Growth in product replacement graphs

abstract:
  We prove the exponential growth of product replacement graphs for a large
class of groups. Much of our effort is dedicated to the study of product
replacement graphs of Grigorchuk groups, where the problem is most difficult.


title:
An efficient decomposition technique to solve angle-dependent Hanle
  scattering problems

abstract:
  Hanle scattering is an important diagnostic tool to study weak solar magnetic
fields. Partial frequency redistribution (PRD) is necessary to interpret the
linear polarization observed in strong resonance lines. Usually angle-averaged
PRD functions are used to analyze linear polarization. However it is
established that angle-dependent PRD functions are often necessary to interpret
polarization profiles formed in the presence of weak magnetic fields. Our aim
is to present an efficient decomposition technique, and the numerical method to
solve the concerned angle-dependent line transfer problem. Together with the
standard Stokes decomposition technique we employ Fourier expansion over the
outgoing azimuth angle to express in a more convenient form, the
angle-dependent PRD function for the Hanle effect. It allows the use of
angle-dependent frequency domains of Bommier to solve the Hanle transfer
problem. Such an approach is self-consistent and accurate compared to a recent
approach where angle-averaged frequency domains were used to solve the same
problem. We show that it is necessary to incorporate angle-dependent frequency
domains instead of angle-averaged frequency domains to solve the Hanle transfer
problem accurately, especially for the Stokes U parameter. The importance of
using angle-dependent domains has been highlighted by taking the example of
Hanle effect in the case of line transfer with vertical magnetic fields in a
slab atmosphere. We have also studied the case of polarized line formation when
micro-turbulent magnetic fields are present. The difference between
angle-averaged and angle-dependent solutions is enhanced by the presence of
micro-turbulent fields.


title: Decoy-state quantum key distribution with biased basis choice

abstract:
  We propose a quantum key distribution scheme that combines a biased basis
choice with the decoy-state method. In this scheme, Alice sends all signal
states in the $Z$ basis and decoy states in the $X$ and $Z$ basis with certain
probabilities, and Bob measures received pulses with optimal basis choice. This
scheme simplifies the system and reduces the random number consumption. From
the simulation result taking into account of statistical fluctuations, we find
that in a typical experimental setup, the proposed scheme can increase the key
rate by at least 45% comparing to the standard decoy-state scheme. In the
postprocessing, we also apply a rigorous method to upper bound the phase error
rate of the single-photon components of signal states.


title:
Effects of composition and chemical disorder on the magnetocrystalline
  anisotropy of Fe_{x}Pt_{1-x} alloys

abstract:
  We perform first principles calculations of the magnetocrystalline anisotropy
energy (MAE) of the L1_{0}-like Fe_{x}Pt_{1-x} samples studied experimentally
by Barmak and co-workers in [J. Appl. Phys. 98 (2005) 033904]. The variation of
composition and long-range chemical order in the samples was studied in terms
of the coherent potential approximation. In accordance with experimental
observations, we find that, in the presence of long-range chemical disorder,
Fe-rich samples exhibit a larger MAE than stoichiometric FePt. By considering
the site- and species-resolved contributions to the MAE, we infer that the MAE
is primarily a function of the degree of completeness of the nominal Fe layers
in the L1_{0} FePt structure.


title:
Quorum sensing inhibitory compounds from extremophilic microorganisms
  isolated from a hypersaline cyanobacterial mat

abstract:
  In this study extremely halophilic and moderately thermophilic microorganisms
from a hypersaline microbial mat were screened for their ability to produce
antibacterial, antidiatom, antialgal and quorum sensing (QS) inhibitory
compounds. Five bacterial strains belonging to the genera Marinobacter and
Halomonas and one archaeal strain belonging to the genus Haloterrigena were
isolated from a microbial mat. The strains were able to grow at a maximum
salinity of 22-25% and a maximum temperature of 45-60{\deg}C. Hexanes,
dichloromethane and butanol extracts from the strains inhibited the growth of
at least one out of nine human pathogens. Only butanol extracts of supernatants
of Halomonas sp. SK-1 inhibited growth of the microalga Dunaliella salina. Most
extracts from isolates inhibited QS of the acyl homoserine lactone producer and
reporter Chromobacterium violaceum CV017. Purification of QS inhibitory
dichloromethane extracts of Marinobacter sp. SK-3 resulted in isolation of four
related diketopiperazines (DKPs): cyclo(L-Pro-L-Phe), cyclo(L-Pro-L-Leu),
cyclo(L-Pro-L-isoLeu) and cyclo(L-Pro-D-Phe). QS inhibitory properties of these
DKPs were tested using C. violaceum CV017 and Escherichia coli-based QS
reporters (pSB401 and pSB1075) deficient in AHL production. Cyclo(L-Pro-L-Phe)
and cyclo(L-Pro-L-isoLeu) inhibited QS dependent production of violacein by C.
violaceum CV017. Cyclo(L-Pro-L-Phe), cyclo(L-Pro-L-Leu), and
cyclo(L-Pro-L-isoLeu) reduced QS dependent luminescence of the reporter E. coli
pSB401 induced by 3-oxo-C6-HSL. Our study demonstrated the ability of
halophilic and moderately thermophilic strains from a hypersaline microbial mat
produce biotechnologically-relevant compounds that could be used as antifouling
agents


title: Cross section analyses in MiniBooNE and SciBooNE experiments

abstract:
  The MiniBooNE experiment (2002-2012) and the SciBooNE experiment (2007-2008)
are modern high statistics neutrino experiments, and they developed many new
ideas in neutrino cross section analyses. In this note, I discuss selected
topics of these analyses.


title:
Signatures of pulsars in the light curves of newly formed supernova
  remnants

abstract:
  We explore the effect of pulsars, in particular those born with millisecond
periods, on their surrounding supernova ejectas. While they spin down,
fast-spinning pulsars release their tremendous rotational energy in the form of
a relativistic magnetized wind that can affect the dynamics and luminosity of
the supernova. We estimate the thermal and non thermal radiations expected from
these specific objects, concentrating at times a few years after the onset of
the explosion. We find that the bolometric light curves present a high
luminosity plateau (that can reach $10^{43-44}\,$erg/s) over a few years. An
equally bright TeV gamma-ray emission, and a milder X-ray peak (of order
$10^{40-42}\,$erg/s) could also appear a few months to a few years after the
explosion, as the pulsar wind nebula emerges, depending on the injection
parameters. The observations of these signatures by following the emission of a
large number of supernovae could have important implications for the
understanding of core-collapse supernovae and reveal the nature of the remnant
compact object.