title: Higher moments of primordial non-Gaussianity and N-body simulations

abstract:
  We perform cosmological N-body simulations with non-Gaussian initial
conditions generated from two independent fields. The dominant contribution to
the perturbations comes from a purely Gaussian field, but we allow the second
field to have local non-Gaussianity that need not be weak. This scenario allows
us to adjust the relative importance of non-Gaussian contributions beyond the
skewness, producing a scaling of the higher moments different from (and
stronger than) the scaling in the usual single field local ansatz. We compare
semi-analytic prescriptions for the non-Gaussian mass function, large scale
halo bias, and stochastic bias against the simulation results. We discuss
applications of this work to large scale structure measurements that can test a
wider range of models for the primordial fluctuations than is usually explored.


title:
Study of Structural Properties in Complex Fluids by Addition of
  Surfactants Using DPD Simulation

abstract:
  In this work we study the tertiary structure of ionic surfactants when the pH
in the system is modified using electrostatic dissipative particle dynamics
simulations (DPD). The dependence with pH and kind of surfactant is presented.
Our simulations reproduce the experimental behavior reported in the literature.
The scaling for the radius of gyration with the size of the molecule as a
function of pH is also obtained.


title: PPW and Chitti type inequalities for the Robin Laplacian operator

abstract:
  In this paper, we prove two results for the Robin eigenvalue problem. One is
an upper bound for the ratio of the first two eigenvalues which can be used to
recover the PPW conjecture proved by M.S.Ashbaugh and R.D.Benguria, the other
is a reverse Holder inequality for the first eigenfunction which is a natural
generalization of Chiti's reverse Holder inequality for the first eigenfunction
of Dirichlet Laplacian.


title: The 6-vertex model and deformations of the Weyl character formula

abstract:
  We use statistical mechanics -- variants of the six-vertex model in the plane
studied by means of the Yang-Baxter equation -- to give new deformations of
Weyl's character formula for classical groups of Cartan type B, C, and D, and a
character formula of Proctor for type BC. In each case, the corresponding
Boltzmann weights are associated to the free fermion point of the six-vertex
model. These deformations add to the earlier known examples in types A and C by
Tokuyama and Hamel-King, respectively. A special case for classical types
recovers deformations of the Weyl denominator formula due to Okada.


title:
An explicit formula for Bernoulli polynomials in terms of $r$-Stirling
  numbers of the second kind

abstract:
  In the paper, the authors establish an explicit formula for computing
Bernoulli polynomials at non-negative integer points in terms of $r$-Stirling
numbers of the second kind.


title: New insight into the Berezinskii-Kosterlitz-Thouless phase transition

abstract:
  We investigate the 2d XY model by using the constraint angle action, which
belongs to the class of topological lattice actions. These actions violate
important features usually demanded for a lattice action, such as the correct
classical continuum limit and the applicability of perturbation theory.
Nevertheless, they still lead to the same universal quantum continuum limit and
show excellent scaling behavior. By using the constraint angle action we gain
new insight into the Berezinskii-Kosterlitz-Thouless phase transition of the 2d
XY model. This phase transition is of special interest since it is one of the
few examples of a phase transition beyond second order. It is of infinite order
and therefore an essential phase transition. In particular, we observe an
excellent scaling behavior of the helicity modulus, which characterizes this
phase transition. We also observe that the mechanism of (un)binding
vortex--anti-vortex pairs follows the usual pattern, although free vortices do
not require any energy in the formulation of the 2d XY model using the
constraint angle action.


title:
A Monitoring Campaign for Luhman 16AB. I. Detection of Resolved
  Near-Infrared Spectroscopic Variability

abstract:
  [abbreviated] We report resolved near-infrared spectroscopic monitoring of
the nearby L dwarf/T dwarf binary WISE J104915.57-531906.1AB (Luhman 16AB), as
part of a broader campaign to characterize the spectral energy distribution and
temporal variability of this system. A continuous 45-minute sequence of
low-resolution IRTF/SpeX data spanning 0.8-2.4 micron were obtained, concurrent
with combined-light optical photometry with ESO/TRAPPIST. Our spectral
observations confirm the flux reversal of this binary, and we detect a
wavelength-dependent decline in the relative spectral fluxes of the two
components coincident with a decline in the combined-light optical brightness
of the system over the course of the observation. These data are successfully
modeled as a combination of brightness and color variability in the T0.5 Luhman
16B, consistent cloud variations; and no significant variability in L7.5 Luhman
16A. We estimate a peak-to-peak amplitude of 13.5% at 1.25 micron over the full
lightcurve. Using a two-spot brightness temperature model, we infer an average
cloud covering fraction of ~30-55% for Luhman 16B, varying by 15-30% over a
rotation period. A Rhines scale interpretation for the size of the variable
features explains an apparent correlation between period and amplitude for
three highly variable T dwarfs, and predicts relatively fast winds (1-3 km/s)
for Luhman 16B consistent with lightcurve evolution on an advective time scale
(1-3 rotation periods). Our observations support the model of a patchy
disruption of the mineral cloud layer as a universal feature of the L dwarf/T
dwarf transition.


title:
New Codes and Inner Bounds for Exact Repair in Distributed Storage
  Systems

abstract:
  We study the exact-repair tradeoff between storage and repair bandwidth in
distributed storage systems (DSS). We give new inner bounds for the tradeoff
region and provide code constructions that achieve these bounds.


title:
$H^\infty$ functional calculus and maximal inequalities for semigroups
  of contractions on vector-valued $L_p$-spaces

abstract:
  Let $\{T_t\}_{t>0}$ be a strongly continuous semigroup of positive
contractions on $L_p(X,\mu)$ with $1<p<\infty$. Let $E$ be a UMD Banach lattice
of measurable functions on another measure space $(\Omega,\nu)$. For $f\in
L_p(X; E)$ define
  $$\mathcal M(f)(x,
\omega)=\sup_{t>0}\frac1t\Big|\int_0^tT_s(f(\cdot,\omega))(x)ds\Big|,\quad
(x,\omega)\in X\times\Omega.$$ Then the following maximal ergodic inequality
holds
  $$\big\|\mathcal M(f)\big\|_{L_p(X; E)}\lesssim \big\|f\big\|_{L_p(X;
E)},\quad f\in L_p(X; E).$$ If the semigroup $\{T_t\}_{t>0}$ is additionally
assumed to be analytic, then $\{T_t\}_{t>0}$ extends to an analytic semigroup
on $L_p(X; E)$ and $\mathcal M(f)$ in the above inequality can be replaced by
the following sectorial maximal function
  $$\mathcal T_\theta(f)(x, \omega)=\sup_{|{\rm
arg}(z)|<\theta}\big|T_z(f(\cdot,\omega))(x)\big|$$ for some $\theta>0$.
  Under the latter analyticity assumption and if $E$ is a complex interpolation
space between a Hilbert space and a UMD Banach space, then $\{T_t\}_{t>0}$
extends to an analytic semigroup on $L_p(X; E)$ and its negative generator has
a bounded $H^\infty(\Sigma_\sigma)$ calculus for some $\sigma<\pi/2$.


title:
Dynamical decoupling design for identifying weakly coupled nuclear spins
  in a bath

abstract:
  Identifying weakly coupled nuclear spins around single electron spins is a
key step of implementing quantum information processing using coupled
electron-nuclei spin systems or sensing like single spin nuclear magnetic
resonance detection using diamond defect spins. Dynamical decoupling control of
the center electron spin with periodic pulse sequences [e.g., the
Carre-Purcell-Meiboom-Gill (CPMG) sequence] has been successfully used to
identify single nuclear spins and to resolve structure of nuclear spin
clusters. Here, we design a new type of pulse sequences by replacing the
repetition unit (a single $\pi$-pulse) of the CPMG sequence with a group of
nonuniformly-spaced $\pi$-pulses. Using nitrogen-vacancy center system in
diamond, we show that the designed pulse sequence improves the resolution of
nuclear spin noise spectroscopy, and more information about the surrounding
nuclear spins is extracted. The principle of dynamical decoupling design
proposed in this paper is useful in many systems (e.g., defect spin qubit in
solids, trapped ion and superconducting qubit) for high-resolution noise
spectroscopy.


title: Integral points of bounded degree on affine curves

abstract:
  We generalize Siegel's theorem on integral points on affine curves to
integral points of bounded degree, giving a complete characterization of affine
curves with infinitely many integral points of degree d or less over some
number field. Generalizing Picard's theorem, we prove an analogous result
characterizing complex affine curves admitting a nonconstant holomorphic map
from a degree d (or less) analytic cover of $\mathbb{C}$.


title: On the Dirichlet problem for a class of augmented Hessian equations

abstract:
  In this paper, we consider the Dirichlet problem for a new class of augmented
Hessian equations. Under sharp assumptions that the matrix function in the
augmented Hessian is regular and there exists a smooth subsolution, we
establish global second order derivative estimates for the solutions to the
Dirichlet problem in bounded domains. The results extend the corresponding
results in the previous paper [11] from the Monge-Ampere type equations to the
more general Hessian type equations.


title:
Attosecond time delay in the photoionization of endohedral atoms
  A@C$_{60}$: A new probe of confinement resonances

abstract:
  The effects of confinement resonances on photoelectron group delay (Wigner
time delay) following ionization of an atom encapsulated inside a C$_{60}$ cage
have been studied theoretically using both relativistic and non-relativistic
random phase approximations. The results indicate clearly the resonant
character of the confinement oscillations in time delay of the $4d$ shell of
Xe@C$_{60}$ and present a most direct manifestation of Wigner time delay. These
oscillations were missed in a previous theoretical investigation of Ar@C$_{60}$
[PRL 111, 203003 (2013)]


title:
Pseudorapidity distributions of the produced charged particles in
  nucleus-nucleus collisions at low energies on the BNL Relativistic Heavy Ion
  Collider

abstract:
  The revised Landau hydrodynamic model is used to discuss the pseudorapidity
distributions of the produced charged particles in Au+Au and Cu+Cu collisions
at energies of sqrt(s_NN)= 19.6 and 22.4 GeV correspondingly on the BNL
Relativistic Heavy Ion Collider. It is found that the revised Landau
hydrodynamic model alone can give a good description to the experimental
measurements. This is different from that in the same collisions but at the
maximum energy of sqrt(s_NN)= 200 GeV. Where, in addition to the revised Landau
hydrodynamic model, the effects of leading particles have to be taken into
account in order to explain the experimental observations. It can be attributed
to the different degrees of transparency of participants in different incident
energies.


title:
Iron-line and continuum variations in the XMM-Newton and Suzaku spectra
  of the neutron-star low-mass X-ray binary 4U 1636-53

abstract:
  We used six simultaneous XMM-Newton and Rossi X-ray Timing Explorer plus five
Suzaku observations to study the continuum spectrum and the iron emission line
in the neutron-star low-mass X-ray binary 4U 1636-53. We modelled the spectra
with two thermal components (representing the accretion disc and boundary
layer), a Comptonised component (representing a hot corona), and either a
Gaussian or a relativistic line component to model an iron emission line at
about 6.5 keV. For the relativistic line component we used either the diskline,
laor or kyrline model, the latter for three different values of the spin
parameter. The fitting results for the continuum are consistent with the
standard truncated disc scenario. We also find that the flux and equivalent
width of the iron line first increase and then decrease as the flux of the
Comptonised component increases. This could be explained either by changes in
the ionisation state of the accretion disc where the line is produced by
reflection, or by light bending of the emission from the Comptonised component
if the height at which this component is produced changes with mass accretion
rate.


title:
TrendLearner: Early Prediction of Popularity Trends of User Generated
  Content

abstract:
  We here focus on the problem of predicting the popularity trend of user
generated content (UGC) as early as possible. Taking YouTube videos as case
study, we propose a novel two-step learning approach that: (1) extracts
popularity trends from previously uploaded objects, and (2) predicts trends for
new content. Unlike previous work, our solution explicitly addresses the
inherent tradeoff between prediction accuracy and remaining interest in the
content after prediction, solving it on a per-object basis. Our experimental
results show great improvements of our solution over alternatives, and its
applicability to improve the accuracy of state-of-the-art popularity prediction
methods.


title: Spitzer UltRa Faint SUrvey Program (SURFS UP) I: An Overview

abstract:
  SURFSUP is a joint Spitzer and HST Exploration Science program using 10
galaxy clusters as cosmic telescopes to study z >~ 7 galaxies at intrinsically
lower luminosities, enabled by gravitational lensing, than blank field surveys
of the same exposure time. Our main goal is to measure stellar masses and ages
of these galaxies, which are the most likely sources of the ionizing photons
that drive reionization. Accurate knowledge of the star formation density and
star formation history at this epoch is necessary to determine whether these
galaxies indeed reionized the universe. Determination of the stellar masses and
ages requires measuring rest frame optical light, which only Spitzer can probe
for sources at z >~ 7, for a large enough sample of typical galaxies. Our
program consists of 550 hours of Spitzer/IRAC imaging covering 10 galaxy
clusters with very well-known mass distributions, making them extremely precise
cosmic telescopes. We combine our data with archival observations to obtain
mosaics with ~30 hours exposure time in both 3.6$\mu$m and 4.5$\mu$m in the
central 4 arcmin x 4 arcmin field and ~15 hours in the flanking fields. This
results in 3-$\sigma$ sensitivity limits of ~26.6 and ~26.2AB magnitudes for
the central field in the IRAC 3.6 and 4.5$\mu$m bands, respectively. To
illustrate the survey strategy and characteristics we introduce the sample,
present the details of the data reduction and demonstrate that these data are
sufficient for in-depth studies of z >~ 7 sources (using a z=9.5 galaxy behind
MACSJ1149.5+2223 as an example). For the first cluster of the survey (the
Bullet Cluster) we have released all high-level data mosaics and IRAC empirical
PSF models. In the future we plan to release these data products for the entire
survey.


title:
VLBI observations of the radio quasar J2228+0110 at z=5.95 and other
  field sources in multiple-phase-centre mode

abstract:
  A patch of sky in the SDSS Stripe 82 was observed at 1.6 GHz with Very Long
Baseline Interferometry (VLBI) using the European VLBI Network (EVN). The data
were correlated at the EVN software correlator at JIVE (SFXC). There are
fifteen known mJy/sub-mJy radio sources in the target field defined by the
primary beam size of a typical 30-m class EVN radio telescope. The source of
particular interest is a recently identified high-redshift radio quasar
J222843.54+011032.2 (J2228+0110) at redshift z=5.95. Our aim was to investigate
the milli-arcsecond (mas) scale properties of all the VLBI-detectable sources
within this primary beam area with a diameter of 20 arcmin. The source
J2228+0110 was detected with VLBI with a brightness temperature T_b>10^8 K,
supporting the active galactic nucleus (AGN) origin of its radio emission,
which is conclusive evidence that the source is a radio quasar. In addition,
two other target sources were also detected, one of them with no redshift
information. Their brightness temperature values (T_b >10^7 K) measured with
VLBI suggest a non-thermal synchrotron radiation origin for their radio
emission. The detection rate of 20% is broadly consistent with other wide-field
VLBI experiments carried out recently. We also derived the accurate equatorial
coordinates of the three detected sources using the phase-referencing
technique. This experiment is an early attempt of a wide-field science project
with SFXC, paving the way for the EVN to conduct a large-scale VLBI survey in
the multiple-phase-centre mode.


title: Many-body dynamics of dipolar molecules in an optical lattice

abstract:
  Understanding the many-body dynamics of isolated quantum systems is one of
the central challenges in modern physics. To this end, the direct experimental
realization of strongly correlated quantum systems allows one to gain insights
into the emergence of complex phenomena. Such insights enable the development
of theoretical tools that broaden our understanding. Here, we theoretically
model and experimentally probe with Ramsey spectroscopy the quantum dynamics of
disordered, dipolar-interacting, ultracold molecules in a partially filled
optical lattice. We report the capability to control the dipolar interaction
strength, and we demonstrate that the many-body dynamics extends well beyond a
nearest-neighbor or mean-field picture, and cannot be quantitatively described
using previously available theoretical tools. We develop a novel cluster
expansion technique and demonstrate that our theoretical method accurately
captures the measured dependence of the spin dynamics on molecule number and on
the dipolar interaction strength. In the spirit of quantum simulation, this
agreement simultaneously benchmarks the new theoretical method and verifies our
microscopic understanding of the experiment. Our findings pave the way for
numerous applications in quantum information science, metrology, and condensed
matter physics.


title:
\'Elaboration du Ge m\'esoporeux et \'etude de ses propri\'et\'es
  physico-chimiques en vue d'applications photovolta\"iques

abstract:
  Development of the new nanomaterial - the mesoporous Ge - by bipolar
electrochemical etching (BEE) and analysis of its physico-chemical properties
is the subject of this thesis. Formation of mesoporous Ge by electrochemical
etching was previously reported in the literature. However, up to now,
realization of thick (above 500 nm) mesoporous Ge layers with perfectly
controlled morphology has been an issue. Indeed, the physico-chemical
characterization of thin layers is much more complicated and the number of
possible applications is very limited. We have developed an electrochemical
model that describes the principal mechanisms of the pore formation which
allowed us to produce the thick (up to 10 um) mesoporous Ge structures with the
porosity adjustable in the range of 15% to 60% In addition, the formation of
porous nanostructures with well-controlled variable morphologies has now become
possible. Finally, the mastery of these parameters has opened the extremely
promising path towards realization of porous multilayer structures based on Ge
for many innovative and multidisciplinary applications. In particular, in the
context of this thesis, the mesoporous layers of Ge were optimized for
performing a layer transfer process of a triple-junction solar cell via a
sacrificial layer of porous Ge.
  Keywords: mesoporous Germanium, bipolar electrochemical etching,
electrochemistry of semiconductors, layer transfer process, solar cells.


title:
A nodal solution of the scalar field equation at the second minimax
  level

abstract:
  We prove the existence of a sign-changing eigenfunction at the second minimax
level of the eigenvalue problem for the scalar field equation under a slow
decay condition on the potential near infinity. The proof involves constructing
a set consisting of sign-changing functions that is dual to the second minimax
class. We also obtain a nonradial sign-changing eigenfunction at this level
when the potential is radial.


title: Super Star Clusters in Luminous Infrared Galaxies: the SUNBIRD Survey

abstract:
  We present recent results from an adaptive optics imaging survey of 40
Luminous IR Galaxies (LIRGs) searching for obscured core collapse supernovae
and studying the galaxies themselves. Here, in particular, we discuss the Super
Star Clusters (SSC) populations in the LIRGs. We have constructed the first
statistically significant samples of Luminosity Functions (LF) of SSCs in the
near-IR, and find evidence that the LF slopes in LIRGs are shallower than in
more quiescent spiral galaxies. Distance and blending effects were investigated
in detail paving the way for SSC studies further out than done previously. We
have also correlated the luminosities of the brightest clusters with the star
formation rates (SFR) of the hosts. The relation is similar, though somewhat
steeper than that found in the optical and at lower SFR levels, suggesting
systematic extinction and/or age effects. We find that the characteristics of
the relation suggest an underlying physical driver rather than solely a
size-of-sample effect. In particular, a truncated luminosity/mass function
would naturally explain the small scatter we find. Finally, we are modelling
the ages and masses of our near-IR detected clusters in conjunction with HST
optical data and present early results of using SSC properties to trace the
histories of the target LIRG systems.


title:
An integral representation, complete monotonicity, and inequalities of
  Cauchy numbers of the second kind

abstract:
  In the paper, the author establishes an integral representation for Cauchy
numbers of the second kind, finds the complete monotonicity, minimality, and
logarithmic convexity of Cauchy numbers of the second kind, and presents some
inequalities for determinants and products of Cauchy numbers of the second
kind.


title: Machine Learner for Automated Reasoning 0.4 and 0.5

abstract:
  Machine Learner for Automated Reasoning (MaLARea) is a learning and reasoning
system for proving in large formal libraries where thousands of theorems are
available when attacking a new conjecture, and a large number of related
problems and proofs can be used to learn specific theorem-proving knowledge.
The last version of the system has by a large margin won the 2013 CASC LTB
competition. This paper describes the motivation behind the methods used in
MaLARea, discusses the general approach and the issues arising in evaluation of
such system, and describes the Mizar@Turing100 and CASC'24 versions of MaLARea.


title:
Parkes full polarization spectra of OH masers - I. Galactic longitudes
  350 through the Galactic Centre to 41

abstract:
  Full polarization measurements of 1665 and 1667-MHz OH masers at sites of
massive star formation have been made with the Parkes 64-m radio telescope.
Here we present the resulting spectra for 104 northerly sources. For more than
20 masers we made new measurements with the ATCA (which also revealed several
hitherto unreported masers), in most cases yielding arcsecond precision to
match the majority of sites. Position improvements assist in distinguishing OH
masers with accompanying methanol masers from those without (thought to be at a
later stage of evolution). There was no existing linear polarization
information at many sites, and spectral resolution was sometimes poor, or
velocity coverage incomplete. These inadequacies are addressed by the present
Parkes spectra. The whole OH maser sample exhibit the well-known predominance
of highly circularly polarized features. We find that linear polarization is
also common, but usually much weaker, and we highlight the rare cases of very
pronounced linear polarization that can extend to 100 per cent. Unusually large
velocity ranges of at least 25 km/s are present at seven sites. Our spectra
measurements for most sources are at two epochs spaced by nearly one year, and
reveal high stability at most sites, and marked variability (more than factors
of two in the strongest feature) at only five sites. The spectra also provide a
valuable reference for longer term variability, with high stability evident
over the past decades at 10 sites and marked variability for four of the
sample. Future systematic monitoring of these variables may uncover further
examples of periodicity, a phenomenon so far recognised in only one source.


title:
An explicit formula for Bell numbers in terms of Stirling numbers and
  hypergeometric functions

abstract:
  In the paper, the author finds an explicit formula for computing Bell numbers
in terms of Kummer confluent hypergeometric functions and Stirling numbers of
the second kind.


title:
Translation hypersurfaces with constant Sr curvature in the Euclidean
  space

abstract:
  In this paper, we give a complete description of all translation
hypersurfaces with constant r-curvature Sr, in the Euclidean space.


title:
Animation of 3D Human Model Using Markerless Motion Capture Applied To
  Sports

abstract:
  Markerless motion capture is an active research in 3D virtualization. In
proposed work we presented a system for markerless motion capture for 3D human
character animation, paper presents a survey on motion and skeleton tracking
techniques which are developed or are under development. The paper proposed a
method to transform the motion of a performer to a 3D human character (model),
the 3D human character performs similar movements as that of a performer in
real time. In the proposed work, human model data will be captured by Kinect
camera, processed data will be applied on 3D human model for animation. 3D
human model is created using open source software (MakeHuman). Anticipated
dataset for sport activity is considered as input which can be applied to any
HCI application.


title: Weyl symmetric Effective Action and Monopole Condensation in SU(3) QCD

abstract:
  We show how to generalize the previous result of the monopole condensation in
SU(2) QCD to SU(3) QCD. We present the gauge independent Weyl symmetric Abelian
decomposition of the SU(3) QCD which decomposes the gluons to the color neutral
neurons and the colored chromons. The decomposition allows us to separate the
gauge invariant and parity conserving monopole background gauge independently,
and reduces the non-Abelian gauge symmetry to a discrete color reflection
symmetry which is easier to handle. With this we obtain the infra-red finite
and gauge invariant integral expression of the one-loop effective action which
is Weyl symmetric in three SU(2) subgroups. Integrating it gauge invariantly
imposing the color reflection invariance we obtain the SU(3) QCD effective
potential which generates the stable monopole condensation and the mass gap. We
discuss the physical implications of our result.


title: On perturbed proximal gradient algorithms

abstract:
  We study a version of the proximal gradient algorithm for which the gradient
is intractable and is approximated by Monte Carlo methods (and in particular
Markov Chain Monte Carlo). We derive conditions on the step size and the Monte
Carlo batch size under which convergence is guaranteed: both increasing batch
size and constant batch size are considered. We also derive non-asymptotic
bounds for an averaged version. Our results cover both the cases of biased and
unbiased Monte Carlo approximation. To support our findings, we discuss the
inference of a sparse generalized linear model with random effect and the
problem of learning the edge structure and parameters of sparse undirected
graphical models.


title:
A Novel Approach for Parameter and Differentiation Order Estimation for
  a Space Fractional Advection Dispersion Equation

abstract:
  In this paper, we propose a new approach, based on the so-called modulating
functions to estimate the average velocity, the dispersion coefficient and the
differentiation order in a space fractional advection dispersion equation.
First, the average velocity and the dispersion coefficient are estimated by
applying the modulating functions method, where the problem is transferred into
solving a system of algebraic equations. Then, the modulating functions method
combined with Newton's method is applied to estimate all three parameters
simultaneously. Numerical results are presented with noisy measurements to show
the effectiveness and the robustness of the proposed method.


title: Some integral representations and properties of Lah numbers

abstract:
  In the paper, the authors find some integral representations and discover
some properties of Lah numbers.


title:
Gate-tunable coherent perfect absorption of terahertz radiation in
  graphene

abstract:
  Perfect absorption of radiation in a graphene sheet may play a pivotal role
in the realization of technologically relevant optoelectronic devices. In
particular, perfect absorption of radiation in the terahertz (THz) spectral
range would tremendously boost the utility of graphene in this difficult range
of photon energies, which still lacks cheap and robust devices operating at
room temperature. In this work we show that unpatterned graphene flakes
deposited on appropriate substrates can display gate-tunable coherent perfect
absorption (CPA) in the THz spectral range. We present theoretical estimates
for the CPA operating frequency as a function of doping, which take into
account the presence of common sources of disorder in graphene samples.


title: Discovery of new low-excitation planetary nebulae

abstract:
  We report a multi-wavelength study of four new planetary nebula (PN)
candidates selected from the INT/WFC Photometric Ha Survey of the Northern
Galactic Plane (IPHAS) and Deep Sky Hunter (DSH) catalogues. We present
mid-resolution optical spectra of these PNs. The PN status of our sample was
confirmed by optical narrow-band images and mid-resolution spectra. Based on
the locations of these objects in the log (Ha/[N II]) versus log (Ha/[S II])
diagnostic diagram, we conclude that these sources are evolved lowexcitation
PNs. The optical and infrared appearances of these newly discovered PNs are
discussed. Three of the new nebulae studied here are detected in infrared and
have low infrared-to-radio flux ratios, probably suggesting that they are
evolved. Furthermore, we derive the dynamical ages and distances of these
nebulae and study the spectral energy distribution for one of them with
extensive infrared archival data.


title: Spatial Growth of the Current-Driven Instability in Relativistic Jets

abstract:
  We have investigated the influence of velocity shear and a radial density
profile on the spatial development of the current driven kink instability along
helically magnetized relativistic jets via three-dimensional relativistic
magnetohydrodynamic simulations. In this study, we use a non-periodic
computational box, the jet flow is initially established across the
computational grid, and a precessional perturbation at the inlet triggers
growth of the kink instability. If the velocity shear radius is located inside
the characteristic radius of the helical magnetic field, a static
non-propagating current driven kink is excited as the perturbation propagates
down the jet. Temporal growth disrupts the initial flow across the
computational grid not too far from the inlet. On the other hand, if the
velocity shear radius is outside the characteristic radius of the helical
magnetic field, the kink is advected with the flow and grows spatially down the
jet. In this case flow is maintained to much larger distances from the inlet.
The effect of different radial density profiles is more subtle. When the
density increases with radius, the kink appears to saturate by the end of the
simulation without apparent disruption of the helical twist. This behavior
suggests that relativistic jets consisting of a tenuous spine surrounded by a
denser medium with a velocity shear radius outside the radius of maximum
toroidal magnetic field have a relatively stable configuration.


title: On Maximum, Typical and Generic Ranks

abstract:
  We show that for several notions of rank including tensor rank, Waring rank,
and generalized rank with respect to a projective variety, the maximum value of
rank is at most twice the generic rank. We show that over the real numbers, the
maximum value of the real rank is at most twice the smallest typical rank,
which is equal to the (complex) generic rank.


title:
Design Patterns as Quality Influencing Factor in Object Oriented Design
  Approach

abstract:
  Object Oriented Design methodology is an emerging software development
approach for complex systems with huge set of requirements. Unlike procedural
approach, it captures the requirements as a set of data rather than services,
encapsulated as a single entity. The success such a project relies on major
factors like design patterns framework, key principles, metric standards and
best practices adapted by the industry. The patterns are key structures for
recursive problem bits in the problem domain. The combination of design
patterns forms a framework which suits the problem statement in hand. The
pattern includes static design and dynamic behavior of different types of
entities which can be mapped as a functional diagram with cardinalities between
them. The degree of cardinality represents the coupling factor which the
industry perceives and measures for software design quality. The organization
specific design principles and rich repository of on-the-shelf patterns are the
major design-quality-influencing-factor contribute to software success. These
are the asset of an industry to deliver a quality product to sustain itself in
the competitive market.


title:
Visualization of Object Oriented Modeling from the Perspective of Set
  theory

abstract:
  Language is a medium for communication of our thoughts. Natural language is
too wide to conceive and formulate the thoughts and ideas in a precise way. As
science and technology grows, the necessity of languages arouses through which
the thoughts are expressed in a better manner. Set Theory is such a
mathematical language for expressing the thought of interest in a realistic
way. It is well suited for presenting object oriented solution model, since
this implementation methodology analyzes and modulates the requirements in a
realistic way. Since the design flaws are one of the factors for software
failure, industries are focusing on minimizing the design defects through
better solution modeling techniques and quality assessment practices. The
Object Oriented (OO) solution space can be visualized using the language of Set
theory with which the design architecture of modules can be well defined. It
provides a strong base to quantify the relationships within and between the
modules, which is a mode for measuring the complexity of solution design of any
software projects. This paper provides a visualization of OO modeling from the
perspective of Set theory. Thereby, it paves the path for the designers to
effectively design the application which is one of the challenges of a project
development. Further, this mode of visualization enables one to effectively
measure and controls the design complexity leading towards reducing the design
flaws and enhanced software quality.


title: Factors Modulating Software Design Quality

abstract:
  Object oriented approach is one of the popular software development approach
for managing complex systems with massive set of requirements. Unlike
procedural approach, this approach captures the requirements as set of data
rather than services. Further, class is considered as a key unit of the
solution-domain with data and services wrapped together, representing
architectural design of a basic module. Thus, system complexity is directly
related to the number of modules and the degree of interaction between them.
This could be mapped as a functional diagram with cardinalities between the
modules. However, complexity is always a threat to quality at each stage of
software development. Design phase is therefore one of the core influencing
phases during development that selects the right architecture based on the
problem statement which is bound to be measured for quality. Hence, software
industries adapts several organization- specific principles, domain-specific
patterns, metric standards and best practices to improve and measure the
quality of both process and product. The paper highlights the factors which
influence the overall design quality and metrics implication in improving the
quality of final product. It also presents the solution domain as an
interdependent layered architecture which has a greater impact on concluding
the quality of the end product. This approach of design is a unique
contribution to the domain of Object Oriented approach of software development.
It also focuses on design metrics which ensures the implementation of right
choice of design towards the retention of quality of the product.


title: Significance of Coupling and Cohesion on Design Quality

abstract:
  In recent years, the complexity of the software is increasing due to
automation of every segment of application. Software is nowhere remained as
one-time development product since its architectural dimension is increasing
with addition of new requirements over a short duration. Object Oriented
Development (OOD) methodology is a popular development approach for such
systems which perceives and models the requirements as real world entities.
Classes and Objects logically represent the entities in the solution space and
quality of the software is directly depending on the design quality of these
logical entities. Cohesion and Coupling (C&C) are two major design decisive
factors in OOD which impacts the design of a class and dependency between them
in complex software. It is also most significant to measure C&C for software to
control the complexity level as requirements increases. Several metrics are in
practice to quantify C&C which plays a major role in measuring the design
quality. The software industries are focusing on increasing and measuring the
quality of the product through quality design to continue their market image in
the competitive world. As a part of our research, this paper highlights on the
impact of C&C on design quality of a complex system and its measures to
quantify the overall quality of software.


title:
Prediction of Human Performance Capability during Software Development
  using Classification

abstract:
  The quality of human capital is crucial for software companies to maintain
competitive advantages in knowledge economy era. Software companies recognize
superior talent as a business advantage. They increasingly recognize the
critical linkage between effective talent and business success. However,
software companies suffering from high turnover rates often find it hard to
recruit the right talents. There is an urgent need to develop a personnel
selection mechanism to find the talents who are the most suitable for their
software projects. Data mining techniques assures exploring the information
from the historical projects depending on which the project manager can make
decisions for producing high quality software. This study aims to fill the gap
by developing a data mining framework based on decision tree and association
rules to refocus on criteria for personnel selection. An empirical study was
conducted in a software company to support their hiring decision for project
members. The results demonstrated that there is a need to refocus on selection
criteria for quality objectives. Better selection criteria was identified by
patterns obtained from data mining models by integrating knowledge from
software project database and authors research techniques.


title:
Empirical Study on Selection of Team Members for Software Projects -
  Data Mining Approach

abstract:
  One of the essential requisites of any software industry is the development
of customer satisfied products. However, accomplishing the aforesaid business
objective depends upon the depth of quality of product that is engineered in
the organization. Thus, generation of high quality depends upon process, which
is in turn depends upon the people. Existing scenario in IT industries demands
a requirement for deploying the right personnel for achieving desirable quality
in the product through the existing process. The goal of this paper is to
identify the criteria which will be used in industrial practice to select
members of a software project team, and to look for relationships between these
criteria and project success. Using semi-structured interviews and qualitative
methods for data analysis and synthesis, a set of team building criteria was
identified from project managers in industry. The findings show that the
consistent use of the set of criteria correlated significantly with project
success, and the criteria related to human factors present strong correlations
with software quality and thereby project success. This knowledge enables
decision making for project managers in allocation of right personnel to
realize desired level.


title:
Thermal-orbital coupled tidal heating and habitability of Martian-sized
  extrasolar planets around M stars

abstract:
  M type stars are good targets in the search for habitable extrasolar planets.
Because of their low effective temperatures, the habitable zone of M stars is
very close to the star itself. For planets close to their stars, tidal heating
plays an important role in thermal and orbital evolutions, especially when the
planet orbit has a relatively large eccentricity. Although tidal heating
interacts with the thermal state and orbit of the planet, such coupled
calculations for extrasolar planets around M star have not been conducted. We
perform coupled calculations using simple structural and orbital models, and
analyze the thermal state and habitability of a terrestrial planet. Considering
this planet to be Martian sized, the tide heats up and partially melts the
mantle, maintaining an equilibrium state if the mass of the star is less than
0.2 times the mass of the Sun and the initial eccentricity of the orbit is more
than 0.2. The reduction of heat dissipation due to the melted mantle allows the
planet to stay in the habitable zone for more than 10 Gyr even though the
orbital distance is small. The surface heat flux at the equilibrium state is
between that of Mars and Io. The thermal state of the planet mainly depends on
the initial value of the eccentricity and the mass of the star.


title: Enhancing Human Aspect of Software Engineering using Bayesian Classifier

abstract:
  IT industries in current scenario have to struggle effectively in terms of
cost, quality, service or innovation for their subsistence in the global
market. Due to the swift transformation of technology, software industries owe
to manage a large set of data having precious information hidden. Data mining
technique enables one to effectively cope with this hidden information where it
can be applied to code optimization, fault prediction and other domains which
modulates the success nature of software projects. Additionally, the efficiency
of the product developed further depends upon the quality of the project
personnel. The position of the paper therefore is to explore potentials of
project personnel in terms of their competency and skill set and its influence
on quality of project. The above mentioned objective is accomplished using a
Bayesian classifier in order to capture the pattern of human performance. By
this means, the hidden and valuable knowledge discovered in the related
databases will be summarized in the statistical structure. This mode of
predictive study enables the project managers to reduce the failure ratio to a
significant level and improve the performance of the project using the right
choice of project personnel.


title:
Very Long Baseline Interferometry Measured Proper Motion and Parallax of
  the $\gamma$-ray Millisecond Pulsar PSR J0218+4232

abstract:
  PSR J0218$+$4232 is a millisecond pulsar (MSP) with a flux density $\sim$ 0.9
mJy at 1.4 GHz. It is very bright in the high-energy X-ray and $\gamma$-ray
domains. We conducted an astrometric program using the European VLBI Network
(EVN) at 1.6 GHz to measure its proper motion and parallax. A model-independent
distance would also help constrain its $\gamma$-ray luminosity. We achieved a
detection of signal-to-noise ratio S/N > 37 for the weak pulsar in all five
epochs. Using an extragalactic radio source lying 20 arcmin away from the
pulsar, we estimate the pulsar's proper motion to be
$\mu_{\alpha}\cos\delta=5.35\pm0.05$ mas yr$^{-1}$ and $\mu_{\delta}=-3.74\pm
0.12$ mas yr$^{-1}$, and a parallax of $\pi=0.16\pm0.09$ mas. The very long
baseline interferometry (VLBI) proper motion has significantly improved upon
the estimates from long-term pulsar timing observations. The VLBI parallax
provides the first model-independent distance constraints:
$d=6.3^{+8.0}_{-2.3}$ kpc, with a corresponding $3\sigma$ lower-limit of
$d=2.3$ kpc. This is the first pulsar trigonometric parallax measurement based
solely on EVN observations. Using the derived distance, we believe that PSR
J0218$+$4232 is the most energetic $\gamma$-ray MSP known to date. The
luminosity based on even our 3$\sigma$ lower-limit distance is high enough to
pose challenges to the conventional outer gap and slot gap models.


title: Sussing Merger Trees: the influence of the halo finder

abstract:
  Merger tree codes are routinely used to follow the growth and merger of dark
matter haloes in simulations of cosmic structure formation. Whereas in Srisawat
et. al. we compared the trees built using a wide variety of such codes here we
study the influence of the underlying halo catalogue upon the resulting trees.
We observe that the specifics of halo finding itself greatly influences the
constructed merger trees. We find that the choices made to define the halo mass
are of prime importance. For instance, amongst many potential options different
finders select self-bound objects or spherical regions of defined overdensity,
decide whether or not to include substructures within the mass returned and
vary in their initial particle selection. The impact of these decisions is seen
in tree length (the period of time a particularly halo can be traced back
through the simulation), branching ratio (essentially the merger rate of
\subhalos) and mass evolution. We therefore conclude that the choice of the
underlying halo finder is more relevant to the process of building merger trees
than the tree builder itself. We also report on some built-in features of
specific merger tree codes that (sometimes) help to improve the quality of the
merger trees produced.


title: Scaling for level statistics from self-consistent theory of localization

abstract:
  Accepting validity of self-consistent theory of localization by Vollhardt and
Woelfle, we derive the relations of finite-size scaling for different
parameters characterizing the level statistics. The obtained results are
compared with the extensive numerical material for space dimensions d=2,3,4. On
the level of raw data, the results of numerical experiments are compatible with
the self-consistent theory, while the opposite statements of the original
papers are related with ambiguity of interpretation and existence of small
parameters of the Ginzburg number type.


title:
Sequential Quantum Secret Sharing in a Noisy Environment aided with Weak
  Measurements

abstract:
  In this work we give a $(n,n)$-threshold protocol for sequential secret
sharing of quantum information for the first time.
  By sequential secret sharing we refer to a situation where the dealer is not
having all the secrets at the same time, at the beginning of the protocol;
however if the dealer wishes to share secrets at subsequent phases she/he can
realize it with the help of our protocol. First of all we present our protocol
for three parties and later we generalize it for the situation where we have
$(n>3)$ parties.
  Further in a much more realistic situation, we consider the sharing of qubits
through two kinds of noisy channels, namely the phase damping channel (PDC) and
the amplitude damping channel (ADC). When we carry out the sequential secret
sharing in the presence of noise we observe that the fidelity of secret sharing
at the $k^{th}$ iteration is independent of the effect of noise at the
$(k-1)^{th}$ iteration. In case of ADC we have seen that the average fidelity
of secret sharing drops down to $\frac{1}{2}$ which is equivalent to a random
guess of the quantum secret. Interestingly, we find that by applying weak
measurements one can enhance the average fidelity. This increase of the average
fidelity can be achieved with certain trade off with the success probability of
the weak measurements.


title: Turaev-Viro amplitudes from 2+1 Loop Quantum Gravity

abstract:
  The Turaev-Viro state sum model provides a covariant spin foam quantization
of three-dimensional Riemannian gravity with a positive cosmological constant
{\Lambda}. We complete the program to canonically quantize the theory in the BF
formulation using the formalism of Loop Quantum Gravity. In particular, we show
first how quantum group structures arise from the requirement of the constraint
algebra to be anomaly free. This allows us to generalize the construction of
the physical scalar product, from the {\Lambda} = 0 case, in presence of a
positive {\Lambda}. We prove the equivalence between the covariant and
canonical quantizations by recovering the spin foam amplitudes.


title: Interacting Quintessence Models of Dark Energy

abstract:
  In this paper we consider two models of quintessence scalar fields with
different potentials. Interaction with generalized cosmic Chaplygin gas is also
investigated. Cosmological parameters are studied and graphical behavior is
analyzed. We find that our model is agree with observational data specially
$\Lambda$CDM model.


title: Magnetic helicity of global field in cycles 23 and 24

abstract:
  For the first time we reconstruct the magnetic helicity density of global
axisymmetric field of the Sun using method proposed by Brandenburg et al.
(2003) and Pipin et al. (2013). To determine the components of the vector
potential, we apply the gauge which is typically employed in mean-field dynamo
models. This allows for a direct comparison of reconstructed helicity with the
predictions from the mean-field dynamo models. We apply the method to two
different data sets: the synoptic maps of line-of-sight (LOS) magnetic field
from the Michelson Doppler Imager (MDI) on board of Solar and Heliospheric
Observatory (SOHO) and vector magnetic field measurements from Vector
Spectromagnetograph (VSM) on Synoptic Optical Long-term Investigations of the
Sun (SOLIS) system. Based on the analysis of MDI/SOHO data, we find that in
solar cycle 23 the global magnetic field had positive (negative) magnetic
helicity in the northern (southern) hemisphere. This hemispheric sign asymmetry
is opposite to helicity of solar active regions, but it is in agreement with
the predictions of mean-field dynamo models. The data also suggest that the
hemispheric helicity rule may have reversed its sign in early and late phases
of cycle 23. Furthermore, the data indicate an imbalance in magnetic helicity
between the northern and southern hemispheres. This imbalance seem to correlate
with the total level of activity in each hemisphere in cycle 23. Magnetic
helicity for rising phase of cycle 24 is derived from SOLIS/VSM data, and
qualitatively, its latitudinal pattern is similar to the pattern derived from
SOHO/MDI data for cycle 23.


title:
A New 2+1 Dimensional Einstein Gravity Solution Coupled to Born-Infeld
  Electromagnetic Theory without Cosmological Constan

abstract:
  A new solution of the Einstein-Born-Infeld theory in 2+1 space-time is
derived. A new solution has no horizon there are two singularity. This
space-time has two singular points, however, one of the point at the origin is
not in the physical region. We also investigate the energycondition. Then, weak
energy condition is satisfied. However, causal energy condition is violated.


title: Compactness of Alexandrov-Nirenberg Surfaces

abstract:
  We study a class of compact surfaces in $\mathbb R^3$ introduced by
Alexandrov and generalized by Nirenberg and prove a compactness result under
suitable assumptions on induced metrics and Gauss curvatures.


title: Supporting Process Maturation with the Enhanced CoBRA Method

abstract:
  Cost estimation is a very crucial field for software developing companies. In
the context of learning organizations, estimation applicability and accuracy
are not the only acceptance criteria. The contribution of an estimation
technique to the understanding and maturing of related organizational processes
(such as identification of cost and productivity factors, measurement, data
validation, model validation, model maintenance) has recently been gaining
increasing importance. Yet, most of the proposed cost modeling approaches
provide software engineers with hardly any assistance in supporting related
processes. Insufficient support is provided for validating created cost models
(including underlying data collection processes) or, if valid models are
obtained, for applying them to achieve an organization's objectives such as
improved productivity or reduced schedule. This paper presents an enhancement
of the CoBRA(R) cost modeling method by systematically including additional
quantitative methods into iterative analysis-feedback cycles. Applied at Oki
Electric Industry Co., Ltd., Japan, the CoBRA(R) method contributed to the
achievement of the following objectives, including: (1) maturation of existing
measurement processes, (2) increased expertise of Oki software project decision
makers regarding cost-related software processes, and, finally, (3) reduction
of initial estimation error from an initial 120% down to 14%.


title:
A Distributed Optimization Framework For Multi-channel Multi-user Small
  Cell Networks

abstract:
  Small cell enchantment is emerging as the key technique for wireless network
evolution. One challenging problem for small cell enhancement is how to achieve
high data rate with as-low-as-possible control and computation overheads. As a
solution, we propose a low-complexity distributed optimization framework in
this paper. Our solution includes two parts. One is a novel implicit
information exchange mechanism that enables channel-aware opportunistic
scheduling and resource allocation among links. The other is the sub-gradient
based algorithm with a polynomial-time complexity. What is more, for large
scale systems, we design an improved distributed algorithm based on insights
obtained from the problem structure. This algorithm achieves a close-to-optimal
performance with a much lower complexity. Our numerical evaluations validate
the analytical results and show the advantage of our algorithms.


title: Coincidence Landscapes for Three-Channel Linear Optical Networks

abstract:
  We use permutation-group methods plus SU(3) group-theoretic methods to
determine the action of a three-channel passive optical interferometer on
controllably delayed single-photon pulse inputs to each channel.
Permutation-group techniques allow us to relate directly expressions for rates
and, in particular, investigate symmetries in the coincidence landscape. These
techniques extend the traditional Hong-Ou-Mandel effect analysis for
two-channel interferometry to valleys and plateaus in three-channel
interferometry. Our group-theoretic approach is intuitively appealing because
the calculus of Wigner $D$ functions partially accounts for permutational
symmetries and directly reveals the connections among $D$ functions, partial
distinguishability, and immanants.


title:
General relationships between consumer dispersal, resource dispersal and
  metacommunity diversity

abstract:
  One of the central questions of metacommunity theory is how dispersal of
organisms affects species diversity. Here we show that the diversity-dispersal
relationship should not be studied in isolation of other abiotic and biotic
flows in the metacommunity. We study a mechanistic metacommunity model in which
consumer species compete for an abiotic or biotic resource. We consider both
consumer species specialized to a habitat patch, and generalist species capable
of using the resource throughout the metacommunity. We present analytical
results for different limiting values of consumer dispersal and resource
dispersal, and complement these results with simulations for intermediate
dispersal values. Our analysis reveals generic patterns for the combined
effects of consumer and resource dispersal on the metacommunity diversity of
consumer species, and shows that hump-shaped relationships between local
diversity and dispersal are not universal. Diversity-dispersal relationships
can also be monotonically increasing or multimodal. Our work is a new step
towards a general theory of metacommunity diversity integrating dispersal at
multiple trophic levels.


title: Stochastic quantum dynamics beyond mean-field

abstract:
  Mean-field approaches where a complex fermionic many-body problem is replaced
by an ensemble of independent particles in a self-consistent mean-field can
describe many static and dynamical aspects. It generally provides a rather good
approximation for the average properties of one-body degrees of freedom.
However, the mean-field approximation generally fails to produce quantum
fluctuations of collective motion. To overcome this difficulty, noise can be
added to the mean-field theory leading to a stochastic description of the
many-body problem. In the present work, we summarize recent progress in this
field and discuss approaches where fluctuations have been added either to the
initial time, like in the Stochastic Mean-Field theory or continuously in time
as in the Stochastic Time-Dependent Hartree-Fock. In some cases, the initial
problem can even be re-formulated exactly by introducing Quantum Monte-Carlo
methods in real-time. The possibility to describe superfluid systems is also
invoked. Successes and shortcomings of the different beyond mean-field theories
are discussed and illustrated.


title: GraphX: Unifying Data-Parallel and Graph-Parallel Analytics

abstract:
  From social networks to language modeling, the growing scale and importance
of graph data has driven the development of numerous new graph-parallel systems
(e.g., Pregel, GraphLab). By restricting the computation that can be expressed
and introducing new techniques to partition and distribute the graph, these
systems can efficiently execute iterative graph algorithms orders of magnitude
faster than more general data-parallel systems. However, the same restrictions
that enable the performance gains also make it difficult to express many of the
important stages in a typical graph-analytics pipeline: constructing the graph,
modifying its structure, or expressing computation that spans multiple graphs.
As a consequence, existing graph analytics pipelines compose graph-parallel and
data-parallel systems using external storage systems, leading to extensive data
movement and complicated programming model.
  To address these challenges we introduce GraphX, a distributed graph
computation framework that unifies graph-parallel and data-parallel
computation. GraphX provides a small, core set of graph-parallel operators
expressive enough to implement the Pregel and PowerGraph abstractions, yet
simple enough to be cast in relational algebra. GraphX uses a collection of
query optimization techniques such as automatic join rewrites to efficiently
implement these graph-parallel operators. We evaluate GraphX on real-world
graphs and workloads and demonstrate that GraphX achieves comparable
performance as specialized graph computation systems, while outperforming them
in end-to-end graph pipelines. Moreover, GraphX achieves a balance between
expressiveness, performance, and ease of use.


title: Lineshapes in coherent anti-Stokes Raman spectra of gases

abstract:
  We introduce new lineshapes of coherent anti-Stokes Raman spectra of gases by
considering realistic nanosecond laser pulses that deviate from the Gaussian
representations of their time and spectral envelopes. The analysis suggests
that the contribution to the linewidth caused by the interaction with such
laser pulses could be erroneously attributed to the intrinsic Raman width if
the customary CARS approach, based primarily on the Voigt lineshape, is
assumed.


title:
Spectroscopy of the D1-transition of cesium by dressed-state resonance
  fluorescence from a single (In,Ga)As/GaAs quantum dot

abstract:
  We use a laser-driven single (In,Ga)As quantum dot (QD) in the dressed state
regime of resonance fluorescence ($T = 4$ K) to observe the four
$D_1$-transition lines of alkali atomic cesium ($Cs$) vapor at room
temperature. We tune the frequency of the dressing continuous-wave laser in the
vicinity of the bare QD resonance $\sim 335.116$ THz ($\sim 894.592$ nm) at
constant excitation power and thereby controllably tune the center and side
channel frequencies of the probe light, i.e. the Mollow triplet. Resonances
between individual QD Mollow triplet lines and the atomic hyperfine-split
transitions are clearly identified in the $Cs$ absorption spectrum. Our results
show that narrow-band (In,Ga)As QD resonance fluorescence (RF) is suitable to
optically address individual transitions of the $D_1$ quadruplet without
applying magnetic field or electric field tuning.


title: Positively curved GKM-manifolds

abstract:
  Let T be a torus of dimension at least k and M a T-manifold. M is a
GKM_k-manifold if the action is equivariantly formal, has only isolated fixed
points, and any k weights of the isotropy representation in the fixed points
are linearly independent. In this paper we compute the cohomology rings with
real and integer coefficients of GKM_3- and GKM_4-manifolds which admit
invariant metrics of positive sectional curvature.


title:
Reproduction of Experimental Gap Structure in LiFeAs based on the
  Orbital-Spin Fluctuation Theory: $s_{++}$-wave, $s_\pm$-wave, and
  hole-$s_\pm$-wave states

abstract:
  The absence of nesting between electron and hole-pockets in LiFeAs with $T_c
= 18$K attracts great attention, as an important hint to understand the pairing
mechanism of Fe-based superconductors. Here, we study the five-orbital model of
LiFeAs based on the recently-developed orbital-spin fluctuation theories. It is
found that the experimentally observed gap structure of LiFeAs, which is a
"fingerprint" of the pairing mechanism, is quantitatively reproduced in terms
of the orbital-fluctuation-mediated $s_{++}$-wave state. Especially, the
largest gap observed on the small two hole-pockets composed of ($d_{xz},
d_{yz}$) orbitals can be explained, and this is a hallmark of the
orbital-fluctuation-mediated superconductivity. The $s_{++}$-wave gap structure
becomes more anisotropic in the presence of weak spin fluctuations. As the spin
fluctuations increase, we obtain the "hole-$s_\pm$-wave state", in which only
the gap of the large hole-pocket made of $d_{xy}$-orbital is sign-reversed, due
to the cooperation of orbital and spin fluctuations. %out of the five pockets.
This gap structure with "sign-reversal between hole-pockets" is similar to that
recently reported in (Ba,K)Fe$_2$As$_2$.


title:
Quantum spin Hall insulators and quantum valley Hall insulators of
  BiX/SbX (X = H, F, Cl, and Br) monolayers with a record bulk band gap

abstract:
  Large bulk band gap is critical for application of the quantum spin Hall
(QSH) insulator or two dimensional (2D) topological insulator (TI) in
spintronic device operating at room temperature (RT). Based on the
first-principles calculations, here we predict a group of 2D topological
insulators BiX/SbX (X = H, F, Cl, and Br) monolayers with extraordinarily large
bulk gaps from 0.32 to a record value of 1.08 eV. These giant-gaps are entirely
due to the result of strong spin-orbit interaction related to px and py
orbitals of Bi/Sb atoms around the two valley K and K' of honeycomb lattice,
which is different significantly from the one consisted of pz orbital just like
in graphene/silicene. The topological characteristic of BiX/SbX monolayers is
confirmed by the calculated nontrivial Z2 index and an explicit construction of
the low energy effective Hamiltonian in these systems. We show that the
honeycomb structures of BiX monolayers remain stable even at a temperature of
600 K. These features make the giant-gap TIs BiX/SbX monolayers an ideal
platform to realize many exotic phenomena and fabricate new quantum devices
operating at RT. Furthermore, biased BiX/SbX monolayers become a quantum valley
Hall insulator, showing valley-selective circular dichroism.


title:
Density dependence of the Ionization Avalanche in ultracold Rydberg
  gases

abstract:
  We report on the behaviour of the ionization avalanche in an ensemble of
ultracold 87Rb atoms coupled to a high lying Rydberg state and investigate
extensions to the current model by including the effects of three-body
recombination and plasma expansion. To separate the two effects we study the
time dependence of the plasma formation at various densities as well as for
different nS and nD states. At medium densities and low n we observe the onset
of the avalanche as has been reported in other experiments, as well as a
subsequent turn-off of the avalanche for longer excitation times, which we
associate with plasma expansion. At higher densities and for higher lying
Rydberg states we observe a disappearance of the avalanche signature, which we
attribute to three-body recombination.


title: Kinetic description of mixtures of anisotropic fluids

abstract:
  A simple system of coupled kinetic equations for quark and gluon anisotropic
systems is solved numerically. The solutions are compared with the predictions
of the anisotropic hydrodynamics describing a mixture of anisotropic fluids. We
find that the solutions of the kinetic equations can be well reproduced by
anisotropic hydrodynamics if the initial distribution are oblate for both
quarks and gluons. On the other hand, the solutions of the kinetic equations
have a different qualitative behavior from those obtained in anisotropic
hydrodynamics if the initial configurations are oblate-prolate or
prolate-prolate. This suggests that an extension of the anisotropic
hydrodynamics scheme for the mixture of anisotropic fluids is needed, where
higher moments of the kinetic equations are used and present simplifications
are avoided.


title: Local asymptotics for controlled martingales

abstract:
  We consider controlled martingales with bounded steps where the controller is
allowed at each step to choose the distribution of the next step, and where the
goal is to hit a fixed ball at the origin at time $n$. We show that the
algebraic rate of decay (as $n$ increases to infinity) of the value function in
the discrete setup coincides with its continuous counterpart, provided a
reachability assumption is satisfied. We also study in some detail the
uniformly elliptic case and obtain explicit bounds on the rate of decay. This
generalizes and improves upon several recent studies of the one dimensional
case, and is a discrete analogue of a stochastic control problem recently
investigated in Armstrong and Trokhimtchouck [Calc. Var. Partial Differential
Equations 38 (2010) 521-540].


title: Lower bounds for the approximation with variation-diminishing splines

abstract:
  We prove lower bounds for the approximation error of the
variation-diminishing Schoenberg operator on the interval $[0,1]$ in terms of
classical moduli of smoothness depending on the degree of the spline basis
using a functional analysis based framework. Thereby, we characterize the
spectrum of the Schoenberg operator and investigate the asymptotic behavior of
its iterates. Finally, we prove the equivalence between the approximation error
and the classical second order modulus of smoothness as an improved version of
an open conjecture from 2002.


title: Virtual Learning Environments-A Survey

abstract:
  This paper is based on the study of existing literature, highlights the
current state of the work proposed to implement technically enhanced learning.
  Technology developments and network infrastructure improvements, specifically
the world wide web) are providing exciting opportunities for the use of
computers in all areas. These developments have fit together with an evolving
role for education as more students wish to study at a distance, part time, or
wish to integrate their education with their professional career. With the
market becoming increasingly mature, e learning has almost become a major plank
in both national and institutional strategies.
  At the same time, virtual learning system is also gaining its popularity
among its users. It has brought in a great revolution in itself. In the
advanced learning strategy, virtual learning systems depends on level and
sector of working, usage of functions, purpose of usage, required online
resources to perform computationally intensive operations such as information
sharing and collaborative work. Often the institutions prefer the latest and
the best technology which is cost effective and provide the best features which
meet up all requirements. Virtual learning environment enables operator
professional to bring together in one place a variety of prevailing resources,
suchlike tasks and formative feedback, and links to law reports, statutes and
journal articles, all intended at summing up value to student learning managing
learning experience without the burden of communication and providing
successful delivery of education and training with flexibility.
  In spite of the hype achieved by organizations in technically enhanced
learning, the growth of the virtual learning systems users is still below
expectations due to the risks associated with the implementation strategy and
provision of technical support.


title:
The influence of primordial magnetic fields on the spherical collapse
  model in cosmology

abstract:
  Despite the ever growing observational evidence for the existence of the
large scale magnetic fields, their origin and the evolution are not fully
understood. If the magnetic fields are of primordial origin, they result in the
generation of the secondary matter density perturbations and the previous
studies show that such density perturbations enhance the number of dark matter
halos. We extend the conventional spherical collapse model by including the
Lorentz force which has not been implemented in the previous analysis to study
the evolution of density perturbations produced by primordial magnetic fields.
The critical over-density $\delta_{\rm c}$ characterizing the halo mass
function turns out to be a bigger value, $\delta_{\rm c}\simeq 1.78$, than the
conventional one $\delta_{\rm c}\simeq 1.69$ for the perturbations evolved only
by the gravitational force.
  The difference in $\delta_{\rm c}$ between our model and the fully matter
dominated cosmological model is small at a low redshift and, hence, only the
high mass tail of the mass function is affected by the magnetic fields. At a
high redshift, on the other hand, the difference in $\delta_{\rm c}$ becomes
large enough to suppress the halo abundance over a wide range of mass scales.
The halo abundance is reduced for instance by as large a factor as $\sim10^5$
at $z=9$.


title:
Design, fabrication and characterization of the first AC-coupled silicon
  microstrip sensors in India

abstract:
  This paper reports the design, fabrication and characterization of
single-sided silicon microstrip sensors with integrated biasing resistors and
coupling capacitors, produced for the first time in India. We have first
developed a prototype sensor on a four-inch wafer. After finding suitable test
procedures for characterizing these AC coupled sensors, we have fine-tuned
various process parameters in order to produce sensors with the desired
specifications.


title:
Stability of a superposition of shock waves with contact discontinuities
  for the Jin-Xin relaxation system

abstract:
  In this paper, we consider the large time asymptotic nonlinear stability of a
superposition of shock waves with contact discontinuities for the one
dimensional Jin-Xin relaxation system with small initial perturbations,
provided that the strengths of waves are small with the same order. The results
are obtained by elementary weighted energy estimates based on the underlying
wave structure and an estimate on the heat equation.


title: On Bott-Chern cohomology of compact complex surfaces

abstract:
  We study Bott-Chern cohomology on compact complex non-K\"ahler surfaces. In
particular, we compute such a cohomology for compact complex surfaces in class
$\text{VII}$ and for compact complex surfaces diffeomorphic to solvmanifolds.


title: A Generalized Apagodu-Zeilberger Algorithm

abstract:
  The Apagodu-Zeilberger algorithm can be used for computing annihilating
operators for definite sums over hypergeometric terms, or for definite
integrals over hyperexponential functions. In this paper, we propose a
generalization of this algorithm which is applicable to arbitrary
$\partial$-finite functions. In analogy to the hypergeometric case, we
introduce the notion of proper $\partial$-finite functions. We show that the
algorithm always succeeds for these functions, and we give a tight a priori
bound for the order of the output operator.


title: Incremental QBF Solving

abstract:
  We consider the problem of incrementally solving a sequence of quantified
Boolean formulae (QBF). Incremental solving aims at using information learned
from one formula in the process of solving the next formulae in the sequence.
Based on a general overview of the problem and related challenges, we present
an approach to incremental QBF solving which is application-independent and
hence applicable to QBF encodings of arbitrary problems. We implemented this
approach in our incremental search-based QBF solver DepQBF and report on
implementation details. Experimental results illustrate the potential benefits
of incremental solving in QBF-based workflows.


title: Information transmission and control in a chaotically kicked spin chain

abstract:
  We study spin chains submitted to disturbed kick trains described by
classical dynamical processes. The spin chains are coupled by Heisenberg and
Ising-Z models. We consider chaotic processes by using the kick irregularity in
the multipartite system (the spin chain). We show that the both couplings
transmit differently the chaos disorder along the spin chain but conserve the
horizon of coherence (when the disorder into the kick bath is transmitted to
the spin chain). An example of information transmission between the spins of
the chain coupled by a Heisenberg interaction shows the interest of the horizon
of coherence. The use of some chosen stationary kicks disturbed by a chaotic
environment allows to modify the information transmission between the spins and
to perform a free control during the horizon of coherence.


title: Quantum Oscillations in EuFe2As2 single crystals

abstract:
  Quantum oscillation measurements can provide important information about the
Fermi surface (FS) properties of strongly correlated metals. Here, we report a
Shubnikov-de Haas (SdH) effect study on the pnictide parent compounds
EuFe$_{2}$As$_{2}$ (Eu122) and BaFe$_{2}$As$_{2}$ (Ba122) grown by In-flux.
Although both members are isovalent compounds with approximately the same
density of states at the Fermi level, our results reveal subtle changes in
their fermiology. Eu122 displays a complex pattern in the Fourier spectrum,
with band splitting, magnetic breakdown orbits, and effective masses
sistematically larger when compared to Ba122, indicating that the former is a
more correlated metal. Moreover, the observed pockets in Eu122 are more
isotropic and 3D-like, suggesting an equal contribution from the Fe $3d$
orbitals to the FS. We speculate that these FS changes may be responsible for
the higher spin-density wave ordering temperature in Eu122.


title: Entanglement witnesses: construction, analysis and classification

abstract:
  From the physical point of view entanglement witnesses define a universal
tool for analysis and classification of quantum entangled states. From the
mathematical point of view they provide highly nontrivial generalization of
positive operators and they find elegant correspondence with the theory of
positive maps in matrix algebras. We concentrate on theoretical analysis of
various important notions like (in)decomposability, atomicity, optimality,
extremality and exposedness. Several methods of construction are provided as
well. Our discussion is illustrated by many examples enabling the reader to see
the intricate structure of these objects. It is shown that the theory of
entanglement witnesses finds elegant geometric formulation in terms of convex
cones and related geometric structures.


title: Information is not physical

abstract:
  The standard relations between information theory and thermodynamics are
challenged. The Szilard engine is revisited and the bound proposed by Landauer
is replaced by a different one which includes errors in information processing.
Instead of equivalence, complementarity of information and thermodynamical
entropy is advocated. Finally, the relations between error correction and
self-replication of states which can carry information are discussed.


title: Reversible Squaring Circuit For Low Power Digital Signal Processing

abstract:
  With the high demand of low power digital systems, energy dissipation in the
digital system is one of the limiting factors. Reversible logic is one of the
alternate to reduce heat/energy dissipation in the digital circuits and have a
very significant importance in bioinformatics, optical information processing,
CMOS design etc. In this paper the authors propose the design of new 2- bit
binary Squaring circuit used in most of the digital signal processing hardware
using Feynman & MUX gate. The proposed squaring circuit having less garbage
outputs, constant inputs, Quantum cost and Total logical calculation i.e. less
delay as compared to the traditional method of squaring operation by reversible
multiplier. The simulating results and quantized results are also shown in the
paper which shows the greatest improvement in the design against the previous
methodology.


title: Resonant and antiresonant bouncing droplets

abstract:
  When placed onto a vibrating liquid bath, a droplet may adopt a permanent
bouncing behavior, depending on both the forcing frequency and the forcing
amplitude. The relationship between the droplet deformations and the bouncing
mechanism is studied experimentally and theoretically through an asymmetric and
dissipative bouncing spring model. Antiresonance effects are evidenced.
Experiments and theoretical predictions show that both resonance at specific
frequencies and antiresonance at Rayleigh frequencies play crucial roles in the
bouncing mechanism. In particular, we show that they can be exploited for
droplet size selection.


title: Reciprocal NUT spacetimes

abstract:
  In this paper, we study the \texttt{Ehlers' transformation} (sometimes called
gravitational duality rotation) for \texttt{reciprocal} static metrics. First
we introduce the concept of reciprocal metric. We prove a theorem which shows
how we can construct a certain new static solution of Einstein field equations
using a seed metric. Later we investigate the family of stationary spacetimes
of such reciprocal metrics. The key here is a theorem from Ehlers', which
relates any static vacuum solution to a unique stationary metric. The
stationary metric has a magnetic charge. The spacetime represents Newman
-Unti-Tamburino (NUT) solutions. Since any stationary spacetime can be
decomposed into a $1+3$ time-space decomposition, Einstein field equations for
any stationary spacetime can be written in the form of Maxwell's equations for
gravitoelectromagnetic fields. Further we show that this set of equations is
invariant under reciprocal transformations. An additional point is that the NUT
charge changes the sign. As an instructive example, by starting from the
reciprocal Schwarzschild as a spherically symmetric solution and reciprocal
Morgan-Morgan disk model as seed metrics we find their corresponding stationary
space-times. Starting from any static seed metric, performing the reciprocal
transformation and by applying an additional Ehlers' transforation we obtain a
family of NUT spaces with negative NUT factor (reciprocal NUT factors).


title: Muon cooling: longitudinal compression

abstract:
  A 10 MeV/c $\mu^+$ beam was stopped in helium gas of a few mbar in a magnetic
field of 5 T. The muon 'swarm' has been efficiently compressed from a length of
16 cm down to a few mm along the magnetic field axis (longitudinal compression)
using electrostatic fields. The simulation reproduces the low energy
interactions of slow muons in helium gas. Phase space compression occurs on the
order of microseconds, compatible with the muon lifetime of 2 $\mu$s. This
paves the way for preparation of a high quality muon beam.


title:
Soft modes and non-affine rearrangements in the inherent structures of
  supercooled liquids

abstract:
  We find that the hierarchical organization of the potential energy landscape
in a model supercooled liquid can be related to a change in the spatial
distribution of soft normal modes. For groups of nearby minima, between which
fast relaxation processes typically occur, the localization of the soft modes
is very similar. The spatial distribution of soft regions changes, instead, for
minima between which transitions relevant to structural relaxation occur. This
may be the reason why the soft modes are able to predict spatial
heterogeneities in the dynamics. Nevertheless, the very softest modes are only
weakly correlated with dynamical heterogeneities, and instead show higher
statistical overlap with regions in the local minima that would undergo
non-affine rearrangements if subjected to a shear deformation. This feature of
the supercooled liquid is reminiscent of the behavior of non-affine
deformations in amorphous solids, where the very softest modes identify the
{\it loci} of plastic instabilities.


title: L-Shape based Layout Fracturing for E-Beam Lithography

abstract:
  Layout fracturing is a fundamental step in mask data preparation and e-beam
lithography (EBL) writing. To increase EBL throughput, recently a new L-shape
writing strategy is proposed, which calls for new L-shape fracturing, versus
the conventional rectangular fracturing. Meanwhile, during layout fracturing,
one must minimize very small/narrow features, also called slivers, due to
manufacturability concern. This paper addresses this new research problem of
how to perform L-shaped fracturing with sliver minimization. We propose two
novel algorithms. The first one, rectangular merging (RM), starts from a set of
rectangular fractures and merges them optimally to form L-shape fracturing. The
second algorithm, direct L-shape fracturing (DLF), directly and effectively
fractures the input layouts into L-shapes with sliver minimization. The
experimental results show that our algorithms are very effective.


title:
Meridional trapping and zonal propagation of inertial waves in a
  rotating fluid shell

abstract:
  Inertial waves propagate in homogeneous rotating fluids, and constitute a
challenging and simplified case study for the broader class of inertio-gravity
waves, present in all geophysical and astrophysical media, and responsible for
energetically costly processes as diapycnal and angular momentum mixing.
However, a complete analytical description and understanding of internal waves
in arbitrarily shaped enclosed domains, such as the ocean, or a planet liquid
core, is still missing.
  In this work, the inviscid, linear inertial wave field is investigated by
means of three dimensional ray tracing in spherical shell domains, having in
mind possible oceanographic applications. Rays are here classically interpreted
as representative of energy paths. But in contrast with previous studies, they
are now launched with a non-zero initial zonal component allowing for a more
realistic, localized forcing, and the development of azimuthal inhomogeneities.
  We find that meridional planes generally act in the shell geometry as
attractors for ray trajectories. In addition, the existence of trajectories
that are not subject to meridional trapping is here observed for the first
time. Their dynamics was not captured by the previous purely meridional studies
and unveils a new class of possible solutions for inertial motion in the
spherical shell.
  Both observed behaviours shed some new light on possible mechanisms of energy
localization, a key process that still deserves further investigation in our
ocean, as well as in other stratified, rotating media.


title: Affinity and Fluctuations in a Mesoscopic Noria

abstract:
  We exhibit the invariance of cycle affinities in finite state Markov
processes under various natural probabilistic constructions, for instance under
conditioning and under a new combinatorial construction that we call ``drag and
drop''. We show that cycle affinities have a natural probabilistic meaning
related to first passage non-equilibrium fluctuation relations that we
establish.


title:
Interface between path and OAM entanglement for high-dimensional
  photonic quantum information

abstract:
  Photonics has become a mature field of quantum information science, where
integrated optical circuits offer a way to scale the complexity of the setup as
well as the dimensionality of the quantum state. On photonic chips, paths are
the natural way to encode information. To distribute those high-dimensional
quantum states over large distances, transverse spatial modes, like orbital
angular momentum (OAM) possessing Laguerre Gauss modes, are favourable as
flying information carriers. Here we demonstrate a quantum interface between
these two vibrant photonic fields. We create three-dimensional path
entanglement between two photons in a non-linear crystal and use a mode sorter
as the quantum interface to transfer the entanglement to the OAM degree of
freedom. Thus our results show a novel, flexible way to create high-dimensional
spatial mode entanglement. Moreover, they pave the way to implement broad
complex quantum networks where high-dimensionally entangled states could be
distributed over distant photonic chips.


title: Can one hear the shape of a population history?

abstract:
  Reconstructing past population size from present day genetic data is a major
goal of population genetics. Recent empirical studies infer population size
history using coalescent-based models applied to a small number of individuals.
Here we provide tight bounds on the amount of exact coalescence time data
needed to recover the population size history of a single, panmictic population
at a certain level of accuracy. In practice, coalescence times are estimated
from sequence data and so our lower bounds should be taken as rather
conservative.


title:
Triple Patterning Lithography (TPL) Layout Decomposition using
  End-Cutting

abstract:
  Triple patterning lithography (TPL) is one of the most promising techniques
in the 14nm logic node and beyond. However, traditional LELELE type TPL
technology suffers from native conflict and overlapping problems. Recently
LELEEC process was proposed to overcome the limitations, where the third mask
is used to generate the end-cuts. In this paper we propose the first study for
LELEEC layout decomposition. Conflict graphs and end-cut graphs are constructed
to extract all the geometrical relationships of input layout and end-cut
candidates. Based on these graphs, integer linear programming (ILP) is
formulated to minimize the conflict number and the stitch number.


title: Imaging with Rays: Microscopy, Medical Imaging, and Computer Vision

abstract:
  In this paper we broadly consider techniques which utilize projections on
rays for data collection, with particular emphasis on optical techniques. We
formulate a variety of imaging techniques as either special cases or extensions
of tomographic reconstruction. We then consider how the techniques must be
extended to describe objects containing occlusion, as with a self-occluding
opaque object. We formulate the reconstruction problem as a regularized
nonlinear optimization problem to simultaneously solve for object brightness
and attenuation, where the attenuation can become infinite. We demonstrate
various simulated examples for imaging opaque objects, including sparse point
sources, a conventional multiview reconstruction technique, and a
super-resolving technique which exploits occlusion to resolve an image.


title:
An evaluation of keyword extraction from online communication for the
  characterisation of social relations

abstract:
  The set of interpersonal relationships on a social network service or a
similar online community is usually highly heterogenous. The concept of tie
strength captures only one aspect of this heterogeneity. Since the unstructured
text content of online communication artefacts is a salient source of
information about a social relationship, we investigate the utility of keywords
extracted from the message body as a representation of the relationship's
characteristics as reflected by the conversation topics. Keyword extraction is
performed using standard natural language processing methods. Communication
data and human assessments of the extracted keywords are obtained from Facebook
users via a custom application. The overall positive quality assessment
provides evidence that the keywords indeed convey relevant information about
the relationship.


title: Topological Amplitudes and the String Effective Action

abstract:
  In this work, we study a class of higher derivative couplings in the string
effective action arising at the junction of topological string theory and
supersymmetric gauge theories in the $\Omega$-background. They generalise a
series of gravitational couplings involving gravitons and graviphotons, which
reproduces the topological string theory partition function. The latter
reduces, in the field theory limit, to the partition function of the gauge
theory in the $\Omega$-background when one if its parameters, say $\epsilon_+$,
is set to zero. This suggests the existence of a one-parameter extension called
the refined topological string. The couplings considered in this work involve
an additional vector multiplet and are evaluated, perturbatively and
non-perturbatively, at the string level. In the field theory limit, they
correctly reproduce the partition function of the gauge theory in a general
$\Omega$-background. Hence, these couplings provide new perspectives toward a
worldsheet definition of the refined topological string.


title: Algorithmic aspects of Lipschitz functions

abstract:
  We characterize the variation functions of computable Lipschitz functions. We
show that a real z is computably random if and only if every computable
Lipschitz function is differentiable at z. Beyond these principal results, we
show that a real z is Schnorr random if and only if every Lipschitz function
with $L_1$-computable derivative is differentiable at z.


title: Photon localization versus population trapping in a coupled-cavity array

abstract:
  We consider a coupled-cavity array (CCA), where one cavity interacts with a
two-level atom under the rotating-wave approximation. We investigate the
excitation transport dynamics across the array, which arises in the atom's
emission process into the CCA vacuum. Due to the known formation of atom-photon
bound states, partial field localization and atomic population trapping in
general take place. We study the functional dependance on the coupling strength
of these two phenomena and show that the threshold values beyond which they
become significant are different. As the coupling strength grows from zero,
field localization is exhibited first.


title: RG limit cycles

abstract:
  In this review we consider the concept of limit cycles in the renormalization
group flows. The examples of this phenomena in the quantum mechanics and field
theory will be presented.


title: Random loops and conformal field theory

abstract:
  This is a review of results obtained by the author concerning the relation
between conformally invariant random loops and conformal field theory. This
review also attempts to provide a physical context in which to interpret these
results by making connections with aspects of the nucleation theory of phase
transitions and with general properties of criticality.


title: The nested simple conformal loop ensembles in the Riemann sphere

abstract:
  Simple conformal loop ensembles (CLE) are a class of random collection of
simple non-intersecting loops that are of particular interest in the study of
conformally invariant systems. Among other things related to these CLEs, we
prove the invariance in distribution of their nested "full-plane" versions
under the inversion $z \mapsto 1/z$.


title:
Measuring Z2 topological invariants in optical lattices using
  interferometry

abstract:
  We propose an interferometric method to measure Z2 topological invariants of
time-reversal invariant topological insulators realized with optical lattices
in two and three dimensions. We suggest two schemes which both rely on a
combination of Bloch oscillations with Ramsey interferometry and can be
implemented using standard tools of atomic physics. In contrast to topological
Zak phase and Chern number, defined for individual 1D and 2D Bloch bands, the
formulation of the Z2 invariant involves at least two Bloch bands related by
time- reversal symmetry which one has keep track of in measurements. In one of
our schemes this can be achieved by the measurement of Wilson loops, which are
non-Abelian generalizations of Zak phases. The winding of their eigenvalues is
related to the Z2 invariant. We thereby demonstrate that Wilson loops are not
just theoretical concepts but can be measured experimentally. For the second
scheme we introduce a generalization of time-reversal polarization which is
continuous throughout the Brillouin zone. We show that its winding over half
the Brillouin zone yields the Z2 invariant. To measure this winding, our
protocol only requires Bloch oscillations within a single band, supplemented by
coherent transitions to a second band which can be realized by lattice-shaking.


title:
E-BLOW: E-Beam Lithography Overlapping aware Stencil Planning for MCC
  System

abstract:
  Electron beam lithography (EBL) is a promising maskless solution for the
technology beyond 14nm logic node. To overcome its throughput limitation,
recently the traditional EBL system is extended into MCC system. %to further
improve the throughput. In this paper, we present E-BLOW, a tool to solve the
overlapping aware stencil planning (OSP) problems in MCC system. E-BLOW is
integrated with several novel speedup techniques, i.e., successive relaxation,
dynamic programming and KD-Tree based clustering, to achieve a good performance
in terms of runtime and solution quality. Experimental results show that,
compared with previous works, E-BLOW demonstrates better performance for both
conventional EBL system and MCC system.


title: Locally covariant quantum field theory with external sources

abstract:
  We provide a detailed analysis of the classical and quantized theory of a
multiplet of inhomogeneous Klein-Gordon fields, which couple to the spacetime
metric and also to an external source term; thus the solutions form an affine
space. Following the formulation of affine field theories in terms of
presymplectic vector spaces as proposed in [Annales Henri Poincare 15, 171
(2014)], we determine the relative Cauchy evolution induced by metric as well
as source term perturbations and compute the automorphism group of natural
isomorphisms of the presymplectic vector space functor. Two pathological
features of this formulation are revealed: the automorphism group contains
elements that cannot be interpreted as global gauge transformations of the
theory; moreover, the presymplectic formulation does not respect a natural
requirement on composition of subsystems. We therefore propose a systematic
strategy to improve the original description of affine field theories at the
classical and quantized level, first passing to a Poisson algebra description
in the classical case. The idea is to consider state spaces on the classical
and quantum algebras suggested by the physics of the theory (in the classical
case, we use the affine solution space). The state spaces are not separating
for the algebras, indicating a redundancy in the description. Removing this
redundancy by a quotient, a functorial theory is obtained that is free of the
above mentioned pathologies. These techniques are applicable to general affine
field theories and Abelian gauge theories. The resulting quantized theory is
shown to be dynamically local.