title: Spontaneous motion and deformation of a self-propelled droplet

abstract:
  The time evolution equation of motion and shape are derived for a
self-propelled droplet driven by a chemical reaction. The coupling between the
chemical reaction and motion makes an inhomogeneous concentration distribution
as well as a surrounding flow leading to the instability of a stationary state.
The instability results in spontaneous motion by which the shape of the droplet
deforms from a sphere. We found that the self-propelled droplet is elongated
perpendicular to the direction of motion and is characterized as a pusher.


title:
A Modified Levenberg-Marquardt Method for the Bidirectional Relay
  Channel

abstract:
  This paper presents an optimization approach for a system consisting of
multiple bidirectional links over a two-way amplify-and-forward relay. It is
desired to improve the fairness of the system. All user pairs exchange
information over one relay station with multiple antennas. Due to the joint
transmission to all users, the users are subject to mutual interference. A
mitigation of the interference can be achieved by max-min fair precoding
optimization where the relay is subject to a sum power constraint. The
resulting optimization problem is non-convex. This paper proposes a novel
iterative and low complexity approach based on a modified Levenberg-Marquardt
method to find near optimal solutions. The presented method finds solutions
close to the standard convex-solver based relaxation approach.


title: Embeddability of generalized wreath products and box spaces

abstract:
  Given two finitely generated groups that coarsely embed into a Hilbert space,
it is known that their wreath product also embeds coarsely into a Hilbert
space. We introduce a wreath product construction for general metric spaces
X,Y,Z and derive a condition, called the (delta-polynomial) path lifting
property, such that coarse embeddability of X,Y and Z implies coarse
embeddability of X\wr_Z Y. We also give bounds on the compression of X\wr_Z Y
in terms of delta and the compressions of X,Y and Z. Next, we investigate the
stability of the property of admitting a box space which coarsely embeds into a
Hilbert space under the taking of wreath products. We show that if an infinite
finitely generated residually finite group H has a coarsely embeddable box
space, then G\wr H has a coarsely embeddable box space if G is finitely
generated abelian. This leads, in particular, to new examples of bounded
geometry coarsely embeddable metric spaces without property A.


title: Planar maps, circle patterns and 2d gravity

abstract:
  Via circle pattern techniques, random planar triangulations (with angle
variables) are mapped onto Delaunay triangulations in the complex plane. The
uniform measure on triangulations is mapped onto a conformally invariant
spatial point process. We show that this measure can be expressed as: (1) a sum
over 3-spanning-trees partitions of the edges of the Delaunay triangulations;
(2) the volume form of a K\"ahler metric over the space of Delaunay
triangulations, whose prepotential has a simple formulation in term of ideal
tessellations of the 3d hyperbolic space; (3) a discretized version (involving
finite difference complex derivative operators) of Polyakov's conformal
Fadeev-Popov determinant in 2d gravity; (4) a combination of Chern classes,
thus also establishing a link with topological 2d gravity.


title: Observed variations of the global longitudinal magnetic fields of stars

abstract:
  Actually there exist 218 stars with measured phase curves of the longitudinal
(effective) magnetic field B_e. In that group 172 objects are classified as
magnetic chemically peculiar stars (mCP). Remaining objects are stars of
various spectral types, from the most massive hot Of? supergiants to low mass
red dwarfs and stars with planets. This paper aims to review briefly properties
of the observed magnetic field in various types of stars.


title: Information Theoretic Adaptive Tracking of Epidemics in Complex Networks

abstract:
  Adaptively monitoring the states of nodes in a large complex network is of
interest in domains such as national security, public health, and energy grid
management. Here, we present an information theoretic adaptive tracking and
sampling framework that recursively selects measurements using the feedback
from performing inference on a dynamic Bayesian Network. We also present
conditions for the existence of a network specific, observation dependent,
phase transition in the updated posterior of hidden node states resulting from
actively monitoring the network. Since traditional epidemic thresholds are
derived using observation independent Markov chains, the threshold of the
posterior should more accurately model the true phase transition of a network.
The adaptive tracking framework and epidemic threshold should provide insight
into modeling the dynamic response of the updated posterior to active
intervention and control policies while monitoring modern complex networks.


title:
Biologic: Gene circuits and feedback in an introductory physics sequence
  for biology and premedical students

abstract:
  Two synthetic gene circuits -- the genetic toggle switch and the
repressilator -- are analyzed quantitatively and discussed in the context of an
educational module on gene circuits and feedback that constitutes the final
topic of a year-long introductory physics sequence, aimed at biology and
premedical undergraduate students. The genetic toggle switch consists of two
genes, each of whose protein product represses the other's expression, while
the repressilator consists of three genes, each of whose protein product
represses the next gene's expression. Analytic, numerical, and electronic
treatments of the genetic toggle switch shows that this gene circuit realizes
bistability. A simplified treatment of the repressilator reveals that this
circuit can realize sustained oscillations. In both cases, a "phase diagram" is
obtained, that specifies the region of parameter space in which bistability or
oscillatory behavior, respectively, occurs.


title:
Origin of magnetar-scale crustal field in PSR J1852+0040 and "frozen"
  magnetars

abstract:
  We discuss the origin of strong crustal magnetic field in one of central
compact objects (CCOs) --- a neutron star PSR J1852+0040 in the supernova
remnant Kes 79. Taking into account its relatively long present day spin period
we conclude that the field could not be generated via a dynamo mechanism. If
this neutron star indeed is a magnetar with field submerged during a strong
fall-back episode, then it argues against the dynamo field origin in magnetars.
Otherwise, Kes 79 is not a close relative of normal magnetars. A discovery of
an anti-magnetar with a millisecond period and strong crustal field
identifiable, for example, due to large pulse fraction, would be the proof of
the dynamo field origin. Existence of such sources is in correspondence with
the present standard picture of neutron star unification. However, the fraction
of magnetars with submerged fields can be small --- few percent of the total
number of CCOs.


title: CEN34 -- High-Mass YSO in M17 or Background Post-AGB Star?

abstract:
  We investigate the proposed high-mass young stellar object (YSO) candidate
CEN34, thought to be associated with the star forming region M17. Its optical
to near-infrared (550-2500 nm) spectrum reveals several photospheric absorption
features, such as H{\alpha}, Ca triplet and CO bandheads but lacks any emission
lines. The spectral features in the range 8375-8770{\AA} are used to constrain
an effective temperature of 5250\pm250 (early-/mid-G) and a surface gravity of
2.0\pm0.3 (supergiant). The spectral energy distribution of CEN34 resembles the
SED of a high-mass YSO or an evolved star. Moreover, the observed temperature
and surface gravity are identical for high-mass YSOs and evolved stars. The
radial velocity relative to LSR (V_LSR) of CEN34 as obtained from various
photospheric lines is of the order of -60 km/s and thus distinct from the +25
km/s found for several OB stars in the cluster and for the associated molecular
cloud. The SED modeling yields ~ 10^{-4} M_sun of circumstellar material which
contributes only a tiny fraction to the total visual extinction (11 mag). In
the case of a YSO, a dynamical ejection process is proposed to explain the
V_LSR difference between CEN34 and M17. Additionally, to match the temperature
and luminosity, we speculate that CEN34 had accumulated the bulk of its mass
with accretion rate > 4x10^{-3} M_sun/yr in a very short time span (~ 10^3
yrs), and currently undergoes a phase of gravitational contraction without any
further mass gain. However, all the aforementioned characteristics of CEN34 are
compatible with an evolved star of 5-7 M_sun and an age of 50-100 Myrs, most
likely a background post-AGB star with a distance between 2.0 kpc and 4.5 kpc.
We consider the latter classification as the more likely interpretation.
Further discrimination between the two possible scenarios should come from the
more strict confinement of CEN34's distance.


title: Constructing 2- and 3-connected graphs

abstract:
  This work re-examines a classical construction of a 2-connected (simple)
graph where every intermediate graph is 2-connected before detailing an
analogous construction for 3-connected graphs which requires a graph
equivalence relation $\sim_2$ and a related concept of the $\sim_2$-core of a
graph. The case of $k$-connected graphs for $k\geq 4$ is also addressed.


title: Carlson's $<_1$-relation on the class of additive principal ordinals

abstract:
  This is the first in a series of several articles. Our general purpose is to
investigate Carlson's <_1-relation in the whole class of ordinals and later
link it with ordinals of proof-theoretic interests. In this introductory
article, after giving the basic definitions, we study the (canonical)
isomorphisms {g(0,a,b)|a,b are additive principal numbers} and the <^0-relation
and see how it is that <_1 induces, through all of these notions, thinner
k-club classes of ordinals. In coming articles it will be shown the complete
generalization of these ideas to the thinnest k-club classes induced by <_1.


title: Rigidity of gradient Einstein shrinkers

abstract:
  In this paper we consider a perturbation of the Ricci solitons equation
proposed in \cite{jpb1} and studied in \cite{CaMa} and we classify noncompact
gradient shrinkers with bounded nonnegative sectional curvature.


title:
On the seismic scaling relations $\Delta \nu - \bar{\rho}$ and $\nu_{\rm
  max}-\nu_{\rm c}$

abstract:
  Scaling relations between asteroseismic quantities and stellar parameters are
essential tools for studying stellar structure and evolution. We will address
two of them, namely, the relation between the large frequency separation
($\Delta \nu$) and the mean density ($\bar{\rho}$) as well as the relation
between the frequency of the maximum in the power spectrum of solar-like
oscillations ($\nu_{\rm max}$) and the cut-off frequency ($\nu_{\rm c}$).
  For the first relation, we will consider the possible sources of
uncertainties and explore them with the help of a grid of stellar models. For
the second one, we will show that the basic physical picture is understood and
that departure from the observed relation arises from the complexity of
non-adiabatic processes involving time-dependent treatment of convection. This
will be further discussed on the basis of a set of 3D hydrodynamical simulation
of surface convection.


title: Magnetic Dirac-harmonic maps

abstract:
  We study a functional, whose critical points couple Dirac-harmonic maps from
surfaces with a two form. The critical points can be interpreted as coupling
the prescribed mean curvature equation to spinor fields. On the other hand,
this functional also arises as part of the supersymmetric sigma model in
theoretical physics. In two dimensions it is conformally invariant. We call
critical points of this functional magnetic Dirac-harmonic maps. We study
geometric and analytic properties of magnetic Dirac-harmonic maps including
their regularity and the removal of isolated singularities.


title:
Air quality prediction using optimal neural networks with stochastic
  variables

abstract:
  We apply recent methods in stochastic data analysis for discovering a set of
few stochastic variables that represent the relevant information on a
multivariate stochastic system, used as input for artificial neural networks
models for air quality forecast. We show that using these derived variables as
input variables for training the neural networks it is possible to
significantly reduce the amount of input variables necessary for the neural
network model, without considerably changing the predictive power of the model.
The reduced set of variables including these derived variables is therefore
proposed as optimal variable set for training neural networks models in
forecasting geophysical and weather properties. Finally, we briefly discuss
other possible applications of such optimized neural network models.


title:
An Improved Multipole Approximation for Self-Gravity and Its Importance
  for Core-Collapse Supernova Simulations

abstract:
  Self-gravity computation by multipole expansion is a common approach in
problems such as core-collapse and Type Ia supernovae, where single large
condensations of mass must be treated. The standard formulation of multipole
self-gravity suffers from two significant sources of error, which we correct in
the formulation presented in this article. The first source of error is due to
the numerical approximation that effectively places grid cell mass at the
central point of the cell, then computes the gravitational potential at that
point, resulting in a convergence failure of the multipole expansion. We
describe a new scheme that avoids this problem by computing gravitational
potential at cell faces. The second source of error is due to sub-optimal
choice of location for the expansion center, which results in angular power at
high multipole $l$ values in the gravitational field, requiring a high --- and
expensive --- value of multipole cutoff \lmax. By introducing a global measure
of angular power in the gravitational field, we show that the optimal
coordinate for the expansion is the square-density-weighted mean location. We
subject our new multipole self-gravity algorithm to two rigorous test problems:
MacLaurin spheroids for which exact analytic solutions are known, and
core-collapse supernovae. We show that key observables of the core-collapse
simulations, particularly shock expansion, proto-neutron star motion, and
momentum conservation, are extremely sensitive to the accuracy of the multipole
gravity, and the accuracy of their computation is greatly improved by our
reformulated solver.


title:
Linking Correlated Network Flows through Packet Timing: a Game-Theoretic
  Approach

abstract:
  Deciding that two network flows are essentially the same is an important
problem in intrusion detection or in tracing anonymous connections. A stepping
stone or an anonymity network may try to prevent flow correlation by delaying
the packets, introducing chaff traffic, or even splitting the flow in several
subflows.
  We introduce a game-theoretic framework for this problem. The framework is
used to derive the Nash equilibrium under two different adversary models: the
first one, when the adversary is limited to delaying packets, and the second,
when the adversary also adds dummy packets and removes packets from the flow.
As the optimal decoder is not computationally feasible, we restrict the
possible decoder to one that estimates and compensates the attack. Our analysis
can be used for understanding the limits of flow correlation based on packet
timings under an active attacker.


title: 4 m Davies-Cotton telescope for the Cherenkov Telescope Array

abstract:
  The Cherenkov Telescope Array (CTA) is the next generation very high energy
gamma-ray observatory. It will consist of three classes of telescopes, of
large, medium and small sizes. The small telescopes, of 4 m diameter, will be
dedicated to the observations of the highest energy gamma-rays, above several
TeV. We present the technical characteristics of a single mirror, 4 m diameter,
Davies-Cotton telescope for the CTA and the performance of the sub-array
consisting of the telescopes of this type. The telescope will be equipped with
a fully digital camera based on custom made, hexagonal Geiger-mode avalanche
photodiodes. The development of cameras based on such devices is an RnD since
traditionally photomultipliers are used. The photodiodes are now being
characterized at various institutions of the CTA Consortium. Glass mirrors will
be used, although an alternative is being considered: composite mirrors that
could be adopted if they meet the project requirements. We present a design of
the telescope structure, its components and results of the numerical
simulations of the telescope performance.


title:
Progressive slowing down of spin fluctuations in underdoped
  LaFeAsO$_{1-x}$F$_x$

abstract:
  The evolution of low-energy spin dynamics in the iron-based superconductor
LaFeAsO$_{1-x}$F$_x$ was studied over a broad doping, temperature, and magnetic
field range (x = 0 - 0.15, T up to 480K, H up to 30T) by means of As nuclear
magnetic resonance (NMR). An enhanced spin-lattice relaxation rate divided by
temperature, 1/T1T, in underdoped superconducting samples (x = 0.045, 0.05 and
0.075) suggests the presence of antiferromagnetic spin fluctuations, which are
strongly reduced in optimally-doped (x = 0.10) and completely absent in
overdoped (x = 0.15) samples. In contrast to previous analysis, Curie-Weiss
fits are shown to be insufficient to describe the data over the whole
temperature range. Instead, a BPP-type model is used to describe the occurrence
of a peak in 1/T1T clearly above the superconducting transition, reflecting a
progressive slowing down of the spin fluctuations down to the superconducting
phase transition.


title: Stability of viscous long liquid filaments

abstract:
  We study the collapse of an axisymmetric liquid filament both analytically
and by means of a numerical model. The liquid filament, also known as ligament,
may either collapse stably into a single droplet or break up into multiple
droplets. The dynamics of the filament are governed by the viscosity and the
aspect ratio, and the initial perturbations of its surface. We find that the
instability of long viscous filaments can be completely explained by the
Rayleigh-Plateau instability, whereas a low viscous filament can also break up
due to end pinching. We analytically derive the transition between stable
collapse and breakup in the Ohnesorge number versus aspect ratio phase space.
Our result is confirmed by numerical simulations based on the slender jet
approximation and explains recent experimental findings by Castrejon-Pita et
al., PRL 108, 074506 (2012).


title: Generalized pointwise H\"older spaces

abstract:
  In this paper, we introduce a generalization of the pointwise H\"older
spaces. We give alternative definitions of these spaces, look at their
relationship with the wavelets and introduce a notion of generalized H\"older
exponent.


title: Orbifolds and topological defects

abstract:
  We study orbifolds of two-dimensional topological field theories using
defects. If the TFT arises as the twist of a superconformal field theory, we
recover results on the Neveu-Schwarz and Ramond sectors of the orbifold theory
as well as bulk-boundary correlators from a novel, universal perspective. This
entails a structure somewhat weaker than ordinary TFT, which however still
describes a sector of the underlying conformal theory. The case of B-twisted
Landau-Ginzburg models is discussed in detail, where we compute charge vectors
and superpotential terms for B-type branes.
  Our construction also works in the absence of supersymmetry and for
generalised "orbifolds" that need not arise from symmetry groups. In general
this involves a natural appearance of Hochschild (co)homology in a
2-categorical setting, in which among other things we provide simple
presentations of Serre functors and a further generalisation of the Cardy
condition.


title: Perfect Codes in the Discrete Simplex

abstract:
  We study the problem of existence of (nontrivial) perfect codes in the
discrete $ n $-simplex $ \Delta_{\ell}^n := \left\{ \begin{pmatrix} x_0,
\ldots, x_n \end{pmatrix} : x_i \in \mathbb{Z}_{+}, \sum_i x_i = \ell \right\}
$ under $ \ell_1 $ metric. The problem is motivated by the so-called multiset
codes, which have recently been introduced by the authors as appropriate
constructs for error correction in the permutation channels. It is shown that $
e $-perfect codes in the $ 1 $-simplex $ \Delta_{\ell}^1 $ exist for any $ \ell
\geq 2e + 1 $, the $ 2 $-simplex $ \Delta_{\ell}^2 $ admits an $ e $-perfect
code if and only if $ \ell = 3e + 1 $, while there are no perfect codes in
higher-dimensional simplices. In other words, perfect multiset codes exist only
over binary and ternary alphabets.


title: An Operator model for connective K-theory with reality

abstract:
  We construct an explicit model for the connective cover of the spectrum of
$K$-theory with reality. This model is a $\ztwo$-equivariant commutative
symmetric ring spectrum which identifies with another one due to D. Dugger.


title:
Performance Comparison of Packet Scheduling Algorithms for Video Traffic
  in LTE Cellular Network

abstract:
  In this paper we have studied downlink packet scheduling algorithms proposed
for LTE cellular networks. The study emphasize on three most promising
scheduling algorithms such as: FLS, EXP rule and LOG rule. The performance of
these three algorithms is conducted over video traffic in a vehicular
environment using LTE-Sim simulator. The simulation was setup with varying
number of users from 10 - 60 in fixed bounded regions of 1 km radius. The main
goal this study is to provide results that will help in the design process of
packet scheduler for LTE cellular networks, aiming to get better overall
performance users. Simulation results show that, the FLS scheme outperforms in
terms of average system throughput, average packet delay, PLR; and with a
satisfactory level of fairness index.


title:
Three-body force effect on neutrino emissivities of neutron stars within
  the framework of the Brueckner-Hartree-Fock approach

abstract:
  The three-body force (TBF) effect on the neutrino emissivity in neutron star
matter and the total neutrino emissivity of neutron stars have been
investigated within the framework of the Brueckner-Hartree-Fock approach by
adopting the AV18 two-body interaction plus a microscopic TBF. The neutrino
emissivity from the direct Urca process turns out to be much larger than that
from the modified Urca process. Inclusion of the TBF reduces strongly the
density thresholds of the direct Urca processes involving electrons and muons.
The TBF effect on the total neutrino emissivity of neutron stars is shown to be
negligibly weak for neutron stars with small masses. For neutron stars with
large masses, the TBF effect becomes visible and inclusion of the TBF may
enhance the total neutrino emissivity by about 50% for neutron stars with a
given mass of $M=1.6M_{\odot}$.


title:
Comparing change-point locations of independent profiles with
  application to gene annotation

abstract:
  We are interested in the comparison of transcript boundaries from cells which
originated in different environments. The goal is to assess whether this
phenomenon, called differential splicing, is used to modify the transcription
of the genome in response to stress factors. We address this question by
comparing the change-points locations in the individual segmentation of each
profile, which correspond to the RNA-Seq data for a gene in one growth
condition. This requires the ability to evaluate the uncertainty of the
change-point positions, and the work of Rigaill et. al. (2011) provides an
appropriate framework in such case. Building on their approach, we propose two
methods for the comparison of change-points, and illustrate our results on a
dataset from the yeast specie. We show that the UTR boundaries are subject to
differential splicing, while the intron boundaries are conserved in all
profiles. Our approach is implemented in an R package called EBS which is
available on the CRAN.


title:
Integrating GPS, GSM and Cellular Phone for Location Tracking and
  Monitoring

abstract:
  The wide spread of mobiles as handheld devices leads to various innovative
applications that makes use of their ever increasing presence in our daily
life. One such application is location tracking and monitoring. This paper
proposes a prototype model for location tracking using Geographical Positioning
System (GPS) and Global System for Mobile Communication (GSM) technology. The
system displays the object moving path on the monitor and the same information
can also be communicated to the user cell phone, on demand of the user by
asking the specific information via SMS. This system is very useful for car
theft situations, for adolescent drivers being watched and monitored by
parents. The result shows that the object is being tracked with a minimal
tracking error.


title: Relations in the modulo 2 homology of framed disks algebras

abstract:
  We study the homology structure of spaces having an action of the
\emph{framed disks} operad. In particular, we compute the relations between
Kudo-Araki operations and generalized Batalin-Vilkovisky operators. As an
application, we complete the computations of the modulo 2 homology of $\Omega^2
S^3$ as a Batalin-Vilkovisky algebra, and give some evidence for a classical
conjecture about the modulo 2 Hurewicz homomorphism of the infinite loop space
of the sphere spectrum.


title: 5D Super Yang-Mills on $Y^{p,q}$ Sasaki-Einstein manifolds

abstract:
  On any simply connected Sasaki-Einstein five dimensional manifold one can
construct a super Yang-Mills theory which preserves at least two
supersymmetries. We study the special case of toric Sasaki-Einstein manifolds
known as $Y^{p,q}$ manifolds. We use the localisation technique to compute the
full perturbative part of the partition function. The full equivariant result
is expressed in terms of certain special function which appears to be a curious
generalisation of the triple sine function. As an application of our general
result we study the large $N$ behaviour for the case of single hypermultiplet
in adjoint representation and we derive the $N^3$-behaviour in this case.


title: Poweroids revisited - an old symbolic approach

abstract:
  Jeffery's 1861 computations using finite difference calculus are resurrected
and extended from forward differences to general delta operators and used to
neatly prove theorems in the Rota--Mullins theory of polynomials of binomial
type (Steffensen's poweroids) allowing, for example, compact treatments of
umbral composition, the binomial property and the connection constants. It is
shown that it forms a legitimate alternative to the usual umbral device and
also anticipates a number of results obtained more recently.


title:
X-ray and Radio Observations of the gamma Cygni Supernova Remnant
  G78.2+2.1

abstract:
  We analyse \textit{ROSAT} and \textit{Chandra} ACIS X-ray observations and HI
absorption spectra of the
  $\gamma$ Cygni supernova remnant (G78.2+2.1, DR4). The \textit{ROSAT}
All-Sky-Survey image shows G78.2+2.1 has an adjacent limb-brightened shell
north of it. A new \textit{ROSAT} mosaic shows details of the X-ray emission
over the entire face of G78.2+2.1. We also create \textit{Chandra} mosaics
which cover much of the northern rim and central regions of G78.2+2.1. HI
absorption spectra result in association of G78.2+2.1 with the $\gamma$ Cygni
nebula, with distance 1.7 to 2.6 kpc. Chandra spectra for G78.2+2.1 give an
X-ray temperature of 0.6-1.2 keV (90% error), and that a Sedov model has age of
6800-10000 yr. A compact power-law X-ray source in G78.2+2.1 is consistent with
the same distance as G78.2+2.1. The northern X-ray shell is identified with a
B3 star at distance of 980 pc and is proposed as a stellar wind bubble.


title: On the solution to the NLO forward BFKL equation

abstract:
  It is demonstrated that the NLO forward BFKL equation can be solved in the
space of its Born eigenfunctions.


title: Quasi-resonant neutralization of He+ ions at a germanium surface

abstract:
  When low-energy He ions are scattered from a Ge surface, the fraction of
positive ions exhibits characteristic oscillations as a function of ion energy.
These oscillations are caused by quasi-resonant neutralization (qRN), a process
which can be observed for materials with a narrow band nearly resonant with the
unperturbed He-1s level. In the present manuscript, we employ recently
developed theoretical methods to extract quantitative information on the
efficiency of qRN. Our evaluation reveals that qRN is a highly efficient
process leading to ion fractions two orders of magnitude lower than in systems
for which neutralization is only due to Auger processes.


title: Phase-change radiative thermal diode

abstract:
  A thermal diode transports heat mainly in one preferential direction rather
than in the opposite direction. This behavior is generally due to the
non-linear dependence of certain physical properties with respect to the
temperature. Here we introduce a radiative thermal diode which rectifies heat
transport thanks to the phase transitions of materials. Rectification
coefficients greater than 70% and up to 90% are shown, even for small
temperature differences. This result could have important applications in the
development of futur contactless thermal circuits or in the conception of
radiative coatings for thermal management.


title: If $B$ and $f(B)$ are Brownian motions, then $f$ is affine

abstract:
  It is shown that if the processes $B$ and $f(B)$ are both Brownian motions
(without a random time change) then $f$ must be an affine function. As a
by-product of the proof, it is shown that the only functions which are
solutions to both the Laplace equation and the eikonal equation are affine.


title:
Cooperative Short Range Routing for Energy Savings in Multi-Interface
  Wireless Networks

abstract:
  Energy efficiency in wireless networks has become an important field of
research due to ever increasing energy expenditure in battery supplied mobile
terminals. In this paper we present an energy efficient routing scheme for
multi-standard infrastructure wireless networks based on multi-hop cooperative
relaying. The aim of the proposed technique is to exploit short-range
cooperation to take benefit from mobile terminals having superior links thus
enable energy efficiency. Performance results show that higher data-rate
yielded by cooperation can compensate the expense of higher energy due to
multiple interfaces active on the same mobile terminal, making possible to
observe energy efficiency gain of the system. A maximum achievable energy
efficiency gain of up to 42 % was observed in our simulations when using the
cooperative short range routing technique.


title:
The effect of an external magnetic field on the determination of E1M1
  two-photon decay rates in Be-like ions

abstract:
  In this work we report on ab initio theoretical results for the magnetic
field induced 2s2p ^3P_0 - 2s^2 ^1S_0 E1 transition for ions in the beryllium
isoelectronic sequence between Z=5 and 92. It has been proposed that the rate
of the E1M1 two-photon transition 2s2p ^3P_0 - 2s^2 ^1S_0 can be extracted from
the lifetime of the ^3P_0 state in Be-like ions with zero nuclear spin by
employing resonant recombination in a storage-ring. This experimental approach
involves a perturbing external magnetic field. The effect of this field needs
to be evaluated in order to properly extract the two-photon rate from the
measured decay curves. The magnetic field induced transition rates are
carefully evaluated and it is shown that, with a typical storage-ring field
strength, it is dominant or of the same order as the E1M1 rate for low- and
mid-Z ions. Results for several field strengths and ions are presented and we
also give a simple Z-dependent formula for the rate. We estimate the
uncertainties of our model to be within 5% for low- and mid-Z ions, and
slightly larger for more highly charged ions. Furthermore we evaluate the
importance of including both perturber states, ^3P_1 and ^1P_1, and it is shown
that excluding the influence of the ^1P_1 perturber overestimates the rate by
up to 26% for the mid-Z ions.


title: Airborne Base Stations for Emergency and Temporary Events

abstract:
  This paper introduces a rapidly deployable wireless network based on Low
Altitude Platforms and portable land units to support disaster-relief
activities, and to extend capacity during temporary mass events. The system
integrates an amalgam of radio technologies such as LTE, WLAN and TETRA to
provide heterogeneous communications in the deployment location. Cognitive
radio is used for autonomous network configuration. Sensor networks monitor the
environment in real-time during relief activities and provide distributed
spectrum sensing capacities. Finally, remote communications are supported via
S-band satellite links.


title: The maximum injectivity radius of hyperbolic orbifolds

abstract:
  For two-dimensional orientable hyperbolic orbifolds, we show that the radius
of a maximal embedded disk is greater or equal to an explicit constant \rho_T,
with equality if and only if the orbifold is a sphere with three cone points of
order 2, 3 and 7.


title: Linear response relations in fluctuational electrodynamics

abstract:
  Near field radiative heat transfer and dynamic Casimir forces are just two
instances of topics of technological and fundamental interest studied via the
formalism of fluctuational electrodynamics. From the perspective of experiment
and simulations, it is hard to precisely control and probe such non-equilibrium
situations. Fluctuations in equilibrium are easier to measure, and can
typically be related to non-equilibrium response functions by Green-Kubo
relations. We consider a collection of arbitrary objects in vacuum, perturbed
by changing the temperature or velocity of one object. Developing a method for
computation of higher order correlation functions in fluctuational
electrodynamics, we explicitly compare linear response and equilibrium
fluctuations. We obtain a Green-Kubo relation for the radiative heat transfer,
as well as a closed formula for the vacuum friction in arbitrary geometries in
the framework of scattering theory. We comment on the signature of the
radiative heat conductivity in equilibrium fluctuations.


title: Input-output theory of the unconventional photon blockade

abstract:
  We study the unconventional photon blockade, recently proposed for a
coupled-cavity system, in presence of input and output quantum fields. Mixing
of the input or output channels still allows strong photon antibunching of the
output field, but for optimal values of the system parameters that differ
substantially from those that maximize antibunching of the intracavity field.
This result shows that the specific input-output geometry in a photonic system
determines the optimal design in view of single-photon device operation. We
provide a compact analytical formula that allows finding the optimal parameters
for each specific system geometry.


title:
The Asymptotic Fermat's Last Theorem for Five-Sixths of Real Quadratic
  Fields

abstract:
  Let $K$ be a totally real field. By the asymptotic Fermat's Last Theorem over
$K$ we mean the statement that there is a constant $B_K$ such that for prime
exponents $p>B_K$ the only solutions to the Fermat equation $a^p + b^p + c^p =
0$ with $a$, $b$, $c$ in $K$ are the trivial ones satisfying $abc = 0$. With
the help of modularity, level lowering and image of inertia comparisons we give
an algorithmically testable criterion which if satisfied by $K$ implies the
asymptotic Fermat's Last Theorem over $K$. Using techniques from analytic
number theory, we show that our criterion is satisfied by $K =
\mathbb{Q}(\sqrt{d})$ for a subset of $d$ having density $5/6$ among the
squarefree positive integers. We can improve this to density 1 if we assume a
standard "Eichler-Shimura" conjecture.


title:
The derived superalgebra of skew elements of a semiprime superalgebra
  with superinvolution

abstract:
  In this paper we investigate the Lie structure of the derived Lie
superalgebra [K, K], with K the set of skew elements of a semiprime associative
superalgebra A with superinvolution. We show that if U is a Lie ideal of [K,
K], then either there exists an ideal J of A such that the Lie ideal [J \cap
K,K] is nonzero and contained in U, or A is a subdirect sum of A', A'', where
the image of U in A' is central, and A'' is a subdirect product of orders in
simple superalgebras, each at most 16-dimensional over its center.


title:
Supporting Therapeutic Relationships and Communication about Mental
  Health

abstract:
  Effective communication and strong therapeutic relationships are critical to
successful mental health interventions. For example, in 1957 Carl Rogers, a
pioneer of person-centred therapy, proposed that an empowering relationship
could, in and of itself, create the necessary and sufficient conditions for
positive therapeutic outcomes [1]. Whilst modern psychological theories no
longer favour an exclusive focus on relationships, positive relationships and
the dynamics of client-therapist communication remain cornerstones of mental
health intervention theories. A more recent meta-review concluded that across
all interventions models, irrespective of the theoretical approach, the quality
of the relationship between therapists and clients is the second leading
determinant of successful clinical outcomes [2]. Over the past ten years we
(David Coyle and Gavin Doherty) have designed and evaluated a wide range to
systems that provide support for psychological (or talk- based) mental health
interventions [3]. Here we briefly consider two recent examples. In each case
our aim was to enhance communication and reshape clinical practice in a manner
that empowers patients. gNats Island is a computer game that supports
face-to-face interventions for adolescents [4]. MindBalance is an online
treatment programme for adults experiencing difficulties with depression [5].


title:
Two-electron reduction of ethylene carbonate: a quantum chemistry
  re-examination of mechanisms

abstract:
  Passivating solid-electrolyte interphase (SEI) films arising from electrolyte
decomposition on low-voltage lithium ion battery anode surfaces are critical
for battery operations. We review the recent theoretical literature on
electrolyte decomposition and emphasize the modeling work on two-electron
reduction of ethylene carbonate (EC, a key battery organic solvent). One of the
two-electron pathways, which releases CO gas, is re-examined using simple
quantum chemistry calculations. Excess electrons are shown to preferentially
attack EC in the order (broken EC^-) > (intact EC^-) > EC. This confirms the
viability of two electron processes and emphasizes that they need to be
considered when interpreting SEI experiments. An estimate of the crossover
between one- and two-electron regimes under a homogeneous reaction zone
approximation is proposed.


title:
Replicating and Applying a Neuro-Cognitive Experimental Technique in HCI
  Research

abstract:
  In cognitive neuroscience the sense of agency is defined as the as the
experience of controlling ones own actions and, through this control, affecting
the external world. At CHI 2012 I presented a paper entitled I did that!
Measuring Users Experience of Agency in their own Actions [1]. This extended
abstract draws heavily on that paper, which described an implicit measure
called intentional binding. This measure, developed by researchers in cognitive
neuroscience, has been shown to provide a robust implicit measure for the sense
of agency. My interest in intentional binding stemmed from prior HCI
literature, (e.g. the work of Shneiderman) which emphasises the importance of
the sense of control in human-computer interactions. The key question behind
the CHI 2012 paper was: can we apply intention binding to provide an implicit
measure for the experience of control in human-computer interactions? In
investigating this question, replication was a key element of the experimental
process.


title:
Connectedness properties of the space of complete nonnegatively curved
  planes

abstract:
  We study the space of complete Riemannian metrics of nonnegative curvature on
the plane equipped with the C^k topology. If k is infinite, we show that the
space is homeomorphic to the separable Hilbert space. For any k we prove that
the space cannot be made disconnected by removing a finite dimensional subset.
A similar result holds for the associated moduli space. The proof combines
properties of subharmonic functions with results of infinite dimensional
topology and dimension theory. A key step is a characterization of the
conformal factors that make the standard Euclidean metric on the plane into a
complete metric of nonnegative sectional curvature.


title:
Unconditional uniqueness for the cubic Gross-Pitaevskii hierarchy via
  quantum de Finetti

abstract:
  We present a new, simpler proof of the unconditional uniqueness of solutions
to the cubic Gross-Pitaevskii hierarchy in $\R^3$. One of the main tools in our
analysis is the quantum de Finetti theorem. Our uniqueness result is equivalent
to the one established in the celebrated works of Erd\"os, Schlein and Yau,
\cite{esy1,esy2,esy3,esy4}.


title: An Analog Trigger System for Atmospheric Cherenkov Telescopes

abstract:
  Arrays of Cherenkov telescopes typically use multi-level trigger schemes to
keep the rate of random triggers from the night sky background low. At a first
stage, individual telescopes produce a trigger signal from the pixel
information in the telescope camera. The final event trigger is then formed by
combining trigger signals from several telescopes. In this poster, we present a
possible scheme for the Cherenkov Telescope Array telescope trigger, which is
based on the analog pulse information of the pixels in a telescope camera.
Advanced versions of all components of the system have been produced and
working prototypes have been tested, showing a performance that meets the
original specifications. Finally, issues related to integrating the trigger
system in a telescope camera and in the whole array will be dealt with.


title: Perturbative non-Fermi liquids from dimensional regularization

abstract:
  We devise a dimensional regularization scheme for quantum field theories with
Fermi surface to study scaling behaviour of non-Fermi liquid states in a
controlled approximation. Starting from a Fermi surface in two space
dimensions, the co-dimension of Fermi surface is extended to a general value
while the dimension of Fermi surface is fixed. When Fermi surface is coupled
with a critical boson centered at zero momentum, the interaction becomes
marginal at a critical space dimension d_c=5/2. A deviation from the critical
dimension is used as a small parameter for a systematic expansion. We apply
this method to the theory where two patches of Fermi surface is coupled with a
critical boson, and show that the Ising-nematic critical point is described by
a stable non-Fermi liquid state slightly below the critical dimension. Critical
exponents are computed upto the two-loop order.


title: Yield stress in amorphous solids: A mode-coupling theory analysis

abstract:
  The yield stress is a defining feature of amorphous materials which is
difficult to analyze theoretically, because it stems from the strongly
non-linear response of an arrested solid to an applied deformation.
Mode-coupling theory predicts the flow curves of materials undergoing a glass
transition, and thus offers predictions for the yield stress of amorphous
solids. We use this approach to analyse several classes of disordered solids,
using simple models of hard sphere glasses, soft glasses, and metallic glasses
for which the mode-coupling predictions can be directly compared to the outcome
of numerical measurements. The theory correctly describes the emergence of a
yield stress of entropic nature in hard sphere glasses, and its rapid growth as
density approaches random close packing at qualitative level. By contrast, the
emergence of solid behavior in soft and metallic glasses, which originates from
direct particle interactions is not well described by the theory. We show that
similar shortcomings arise in the description of the vibrational dynamics of
the glass phase at rest. We discuss the range of applicability of mode-coupling
theory to understand the yield stress and non-linear rheology of amorphous
materials.


title:
A Wintgen type inequality for surfaces in 4D neutral pseudo-Riemannian
  space forms and its applications to minimal immersions

abstract:
  Let $M$ be a space-like surface immersed in a 4-dimensional pseudo-Riemannian
space form $R^4_2(c)$ with constant sectional curvature $c$ and index two. In
the first part of this article, we prove that the Gauss curvature $K$, the
normal curvature $K^D$, and mean curvature vector $H$ of $M$ satisfy the
general inequality: $K+K^D\geq H,H +c$. In the second part, we investigate
space-like minimal surfaces in $R^4_2(c)$ which satisfy the equality case of
the inequality identically. Several classification results in this respect are
then obtained.


title:
Spinodal Gap Dependence on Size and Boundary Reaction Rate for
  Intercalation in Nanoparticles

abstract:
  Using mathematical model for intercalation dynamics in phase-separating
materials proposed in (Singh, G. K.; Ceder, G.; Bazant, M. Z. Electrochimica
Acta 2008, 53, 7599) and developed further in (Burch, D.; Bazant, M. Z. Nano
Letters 2009, 9, 3795) we found that the spinodal gap generally shrinks as the
particle size decreases. We also got that for some range of boundary reaction
rate parameter and particle size the concentration spinodal gap is not
continuous but it has stable "islands" where no spinodal decomposition is
expected. In fact the presence of infinitesimally small boundary reaction rate
parameter will destabilize nano particle even for infinitesimal length of
particle. But then further continuous raise of this parameter will stabilize
the system till some limit. We made careful analysis to study the dependence of
spinodal decomposition on boundary reaction rate and size parameters which can
be used for LiFePO4 battery material application. Our model predicted that for
nanoparticles having size less than diffusion length and enough small boundary
reaction rate spontanious charge or discharge will occur.


title: Engaging with mental health: a global challenge

abstract:
  Using the metrics of the World Health Organisation, the Global Burden of
Disease Study has found that mental health difficulties are currently the
leading cause of disability in developed countries [1]. Projections also
indicate that the global burden of mental health difficulties will continue to
rise in the coming decades. The human and economic costs of this trend will be
substantial. In this paper we discuss how effectively designed interactive
systems, developed through collaborative, interdisciplinary efforts, can play a
significant role in helping to address this challenge. Our discussion is
grounded in a description of four exploratory systems, each of which has
undergone initial clinical evaluations. Directions for future research on
mental health technologies are also identified.


title: Mixed motives and quotient stacks: Abelian varieties

abstract:
  We prove that the symmetric monoidal category of mixed motives generated by
an abelian variety (more generally, an abelian scheme) can be described as a
certain module category. More precisely, we describe it as the category of
quasi-coherent complexes over a derived quotient stack constructed from a
motivic algebra of the abelian variety. We then study the structure of the
motivic Galois groups of their mixed motives. We prove that the motivic Galois
group is decomposed into a unipotent part constructed from the motivic algebra,
and the reductive quotient which is the Tannaka dual of Grothendieck numerical
motives.


title:
Fast gradient descent for drifting least squares regression, with
  application to bandits

abstract:
  Online learning algorithms require to often recompute least squares
regression estimates of parameters. We study improving the computational
complexity of such algorithms by using stochastic gradient descent (SGD) type
schemes in place of classic regression solvers. We show that SGD schemes
efficiently track the true solutions of the regression problems, even in the
presence of a drift. This finding coupled with an $O(d)$ improvement in
complexity, where $d$ is the dimension of the data, make them attractive for
implementation in the big data settings. In the case when strong convexity in
the regression problem is guaranteed, we provide bounds on the error both in
expectation and high probability (the latter is often needed to provide
theoretical guarantees for higher level algorithms), despite the drifting least
squares solution. As an example of this case we prove that the regret
performance of an SGD version of the PEGE linear bandit algorithm
[Rusmevichientong and Tsitsiklis 2010] is worse that that of PEGE itself only
by a factor of $O(\log^4 n)$. When strong convexity of the regression problem
cannot be guaranteed, we investigate using an adaptive regularisation. We make
an empirical study of an adaptively regularised, SGD version of LinUCB [Li et
al. 2010] in a news article recommendation application, which uses the large
scale news recommendation dataset from Yahoo! front page. These experiments
show a large gain in computational complexity, with a consistently low tracking
error and click-through-rate (CTR) performance that is $75\%$ close.


title: The combinatorial Hopf algebra of motivic dissection polylogarithms

abstract:
  We introduce a family of periods of mixed Tate motives called dissection
polylogarithms, that are indexed by combinatorial objects called dissection
diagrams. The motivic coproduct on the former is encoded by a combinatorial
Hopf algebra structure on the latter. This generalizes Goncharov's formula for
the motivic coproduct on (generic) iterated integrals. Our main tool is the
study of the relative cohomology group corresponding to a bi-arrangement of
hyperplanes.


title:
Constraints on Planet Occurrence around Nearby Mid-to-Late M Dwarfs from
  the MEarth Project

abstract:
  The MEarth Project is a ground-based photometric survey to find planets
transiting the closest and smallest main-sequence stars. In its first four
years, MEarth discovered one transiting exoplanet, the 2.7 Earth radius planet
GJ1214b. Here, we answer an outstanding question: in light of the bounty of
small planets transiting small stars uncovered by the Kepler mission, should
MEarth have found more than just one planet so far? We estimate MEarth's
ensemble sensitivity to exoplanets by performing end-to-end simulations of 1.25
million observations of 988 nearby mid-to-late M dwarfs, gathered by MEarth
between October 2008 and June 2012. For 2-4 Earth radius planets, we compare
this sensitivity to results from Kepler and find that MEarth should have found
planets at a rate of 0.05 - 0.36 planets/year in its first four years. As part
of this analysis, we provide new analytic fits to the Kepler early M dwarf
planet occurrence distribution. When extrapolating between Kepler's early M
dwarfs and MEarth's mid-to-late M dwarfs, we find that assuming the planet
occurrence distribution stays fixed with respect to planetary equilibrium
temperature provides a good match to our detection of a planet with GJ1214b's
observed properties. For larger planets, we find that the warm (600-700K),
Neptune-sized (4 Earth radius) exoplanets that transit early M dwarfs like
Gl436 and GJ3470 occur at a rate of <0.15/star (at 95% confidence) around
MEarth's later M dwarf targets. We describe a strategy with which MEarth can
increase its expected planet yield by 2.5X without new telescopes, by shifting
its sensitivity toward the smaller and cooler exoplanets that Kepler has
demonstrated to be abundant.


title: Against the No-Go Philosophy of Quantum Mechanics

abstract:
  In the area of the foundations of quantum mechanics a true industry appears
to have developed in the last decades, with the aim of proving as many results
as possible concerning what there cannot be in the quantum realm. In principle,
the significance of proving no-go results should consist in clarifying the
fundamental structure of the theory, by pointing out a class of basic
constraints that the theory itself is supposed to satisfy. In the present paper
I will discuss some more recent no-go claims and I will argue against the deep
significance of these results, with a two-fold strategy. First, I will consider
three results concerning respectively local realism, quantum covariance and
predictive power in quantum mechanics, and I will try to show how controversial
the main conditions of the negative theorem turn out to be, something that
strongly undermines the general relevance of these theorems. Second, I will try
to discuss what I take to be a common feature of these theoretical enterprises,
namely that of aiming at establishing negative results for quantum mechanics in
absence of a deeper understanding of the overall ontological content and
structure of the theory. I will argue that the only way toward such an
understanding may be to cast in advance the problems in a clear and
well-defined interpretational framework, which in my view means primarily to
specify the ontology that quantum theory is supposed to be about, and after to
wonder whether problems that seemed worth pursuing still are so in the
framework.


title: Path storage in the particle filter

abstract:
  This article considers the problem of storing the paths generated by a
particle filter and more generally by a sequential Monte Carlo algorithm. It
provides a theoretical result bounding the expected memory cost by $T + C N
\log N$ where $T$ is the time horizon, $N$ is the number of particles and $C$
is a constant, as well as an efficient algorithm to realise this. The
theoretical result and the algorithm are illustrated with numerical
experiments.


title: Compressive sensing based beamforming for noisy measurements

abstract:
  Compressive sensing is the newly emerging method in information technology
that could impact array beamforming and the associated engineering
applications. However, practical measurements are inevitably polluted by noise
from external interference and internal acquisition process. Then, compressive
sensing based beamforming was studied in this work for those noisy measurements
with a signal-to-noise ratio. In this article, we firstly introduced the
fundamentals of compressive sensing theory. After that, we implemented two
algorithms (CSB-I and CSB-II). Both algorithms are proposed for those
presumably spatially sparse and incoherent signals. The two algorithms were
examined using a simple simulation case and a practical aeroacoustic test case.
The simulation case clearly shows that the CSB-I algorithm is quite sensitive
to the sensing noise. The CSB-II algorithm, on the other hand, is more robust
to noisy measurements. The results by CSB-II at $\mathrm{SNR}=-10\,$dB are
still reasonable with good resolution and sidelobe rejection. Therefore,
compressive sensing beamforming can be considered as a promising array signal
beamforming method for those measurements with inevitably noisy interference.


title: Flaw-driven Failure in Nanostructures

abstract:
  Understanding failure in nanomaterials is critical for the design of reliable
structural materials and small-scale devices that have components or
microstructural elements at the nanometer length scale. No consensus exists on
the effect of flaws on fracture in bulk nanostructured materials or in
nanostructures. Proposed theories include nanoscale flaw tolerance and
maintaining macroscopic fracture relationships at the nanoscale with virtually
no experimental support. We explore fracture mechanisms in nanomaterials via
nanomechanical experiments on nanostructures with pre-fabricated surface flaws
in combination with molecular dynamics simulations. Nanocrystalline Pt
cylinders with diameters of 120 nm with intentionally introduced surface
notches were created using a template-assisted electroplating method and tested
in uniaxial tension in in-situ SEM. Experiments demonstrate that 8 out of 12
samples failed at the notches and that tensile failure strengths were 1.8 GPa
regardless of whether failure occurred at or away from the flaw. These findings
suggest that failure location was sensitive to the presence of flaws, while
strength was flaw-insensitive. Molecular dynamics simulations support these
observations and show that incipient plastic deformation commences via
nucleation and motion of dislocations in concert with grain boundary sliding.
We postulate that such local plasticity reduces stress concentration ahead of
the flaw to levels comparable with the strengths of intrinsic microstructural
features like grain boundary triple junctions, a phenomenon unique to
nano-scale solids that contain an internal microstructural energy landscape.
This mechanism causes failure to occur at the weakest link, be it an internal
inhomogeneity or a surface feature with a high local stress.


title: Quantum entropy production in phase space

abstract:
  A fluctuation theorem for the nonequilibrium entropy production in quantum
phase space is derived, which enables the consistent thermodynamic description
of arbitrary quantum systems, open and closed. The new treatment naturally
generalizes classical results to the quantum domain. As an illustration the
harmonic oscillator dragged through a thermal bath is solved numerically.
Finally, the significance of the new approach is discussed in detail, and the
phase space treatment is opposed to the two time energy measurement approach.


title: Randomness Conservation over Algorithms

abstract:
  Current discrete randomness and information conservation inequalities are
over total recursive functions, i.e. restricted to deterministic processing.
This restriction implies that an algorithm can break algorithmic randomness
conservation inequalities. We address this issue by proving tight bounds of
randomness and information conservation with respect to recursively enumerable
transformations, i.e. processing by algorithms. We also show conservation of
randomness of finite strings with respect to enumerable distributions, i.e.
semicomputable semi-measures.


title: Geography and similarity of regional cuisines in China

abstract:
  Food occupies a central position in every culture and it is therefore of
great interest to understand the evolution of food culture. The advent of the
World Wide Web and online recipe repositories has begun to provide
unprecedented opportunities for data-driven, quantitative study of food
culture. Here we harness an online database documenting recipes from various
Chinese regional cuisines and investigate the similarity of regional cuisines
in terms of geography and climate. We found that the geographical proximity,
rather than climate proximity is a crucial factor that determines the
similarity of regional cuisines. We develop a model of regional cuisine
evolution that provides helpful clues to understand the evolution of cuisines
and cultures.


title:
Localization and Recurrence of Quantum Walk in Periodic Potential on a
  Line

abstract:
  We present numerical study of a model of quantum walk in periodic potential
on the line. We take the simple view that different potentials affect
differently the way the coin state of the walker is changed. For simplicity and
definiteness, we assume the walker's coin state is unaffected at sites without
potential, and is rotated in an unbiased way according to Hadamard matrix at
sites with potential. This is the simplest and most natural model of a quantum
walk in a periodic potential with two coins. Six generic cases of such quantum
walks were studied numerically. It is found that of the six cases, four cases
display significant localization effect, where the walker is confined in the
neighborhood of the origin for sufficiently long times. Associated with such
localization effect is the recurrence of the probability of the walker
returning to the neighborhood of the origin.


title: Optimal finite-range atomic basis sets for liquid water and ice

abstract:
  Finite-range numerical atomic orbitals are the basis functions of choice for
several first principles methods, due to their flexibility and scalability.
Generating and testing such basis sets, however, remains a significant
challenge for the end user. We discuss these issues and present a new scheme
for generating improved polarization orbitals of finite range. We then develop
a series of high-accuracy basis sets for the water molecule, and report on
their performance in describing the monomer and dimer, two phases of ice, and
liquid water at ambient and high density. The tests are performed by comparison
with plane-wave calculations, and show the atomic orbital basis sets to exhibit
an excellent level of transferability and consistency. The highest-order bases
(quadruple-zeta) are shown to give accuracies comparable to a plane-wave
kinetic energy cutoff of at least ~1000 eV for quantities such as energy
differences and ionic forces, as well as achieving significantly greater
accuracies for total energies and absolute pressures.


title:
Ultra-Low-Intensity Magneto-Optical and Mechanical Effects in Metal
  Nanocolloids

abstract:
  We theoretically and numerically investigate the linear and nonlinear
magneto-optical contributions to the refractive index of metal nanospheres. The
analysis is in good agreement with the experimental extinction spectra of gold
nanocolloid solutions, with threshold magnetic fields less than 1 mT when
illuminated with light intensities less than 1 W/cm^2. Plasmonic current loops
and vortex power flows provide a new framework for the dynamical interaction
between material magnetization, light polarization and nano-surfaces. The
photo-induced magneto-optical interaction of non-magnetic metal nanocolloids
imparts significant, non-negligible torque forces in nanofluids.


title: Alias and Change Calculi, Applied to Frame Inference

abstract:
  Alias analysis, which determines whether two expressions in a program may
reference to the same object, has many potential applications in program
construction and verification. We have developed a theory for alias analysis,
the "alias calculus", implemented its application to an object-oriented
language, and integrated the result into a modern IDE. The calculus has a
higher level of precision than many existing alias analysis techniques.
  One of the principal applications is to allow automatic change analysis,
which leads to inferring "modifies clauses", providing a significant advance
towards addressing the Frame Problem. Experiments were able to infer the
"modifies" clauses of an existing formally specified library. Other
applications, in particular to concurrent programming, also appear possible.
  The article presents the calculus, the application to frame analysis
including ex-perimental results, and other projected applications. The ongoing
work includes building more efficient model capturing aliasing properties and
soundness proof for its essential elements.


title:
On the effective superpotential in the generic higher-derivative
  superfield supersymmetric three-dimensional gauge theory

abstract:
  We formulate a generic three-dimensional superfield higher-derivative gauge
theory coupled to the matter, which, in certain cases reduces to the
three-dimensional scalar super-QED, or supersymmetric Maxwell-Chern-Simons or
Chern-Simons theories with matter. For this theory, we explicitly calculate the
one-loop effective potential.


title:
The quench dynamics of a dissipative quantum system: a renormalization
  group study

abstract:
  We study dissipation in a small quantum system coupled to an environment held
in thermodynamic equilibrium. The relaxation dynamics of a system subject to an
abrupt quench in the parameters of the underlying Hamiltonian is investigated
using two complementary renormalization group approaches. The methods are
applied to the Ohmic spin-boson model close to the coherent-to-incoherent
transition. In particular, the role of non-Markovian memory for the relaxation
before and after the quench of the spin-boson coupling and the Zeeman splitting
of the up and down spin is investigated.


title:
Online Independent Set Beyond the Worst-Case: Secretaries, Prophets, and
  Periods

abstract:
  We investigate online algorithms for maximum (weight) independent set on
graph classes with bounded inductive independence number like, e.g., interval
and disk graphs with applications to, e.g., task scheduling and spectrum
allocation. In the online setting, it is assumed that nodes of an unknown graph
arrive one by one over time. An online algorithm has to decide whether an
arriving node should be included into the independent set. Unfortunately, this
natural and practically relevant online problem cannot be studied in a
meaningful way within a classical competitive analysis as the competitive ratio
on worst-case input sequences is lower bounded by $\Omega(n)$.
  As a worst-case analysis is pointless, we study online independent set in a
stochastic analysis. Instead of focussing on a particular stochastic input
model, we present a generic sampling approach that enables us to devise online
algorithms achieving performance guarantees for a variety of input models. In
particular, our analysis covers stochastic input models like the secretary
model, in which an adversarial graph is presented in random order, and the
prophet-inequality model, in which a randomly generated graph is presented in
adversarial order. Our sampling approach bridges thus between stochastic input
models of quite different nature. In addition, we show that our approach can be
applied to a practically motivated admission control setting.
  Our sampling approach yields an online algorithm for maximum independent set
with competitive ratio $O(\rho^2)$ with respect to all of the mentioned
stochastic input models. for graph classes with inductive independence number
$\rho$. The approach can be extended towards maximum-weight independent set by
losing only a factor of $O(\log n)$ in the competitive ratio with $n$ denoting
the (expected) number of nodes.


title: Stability of a unitary Bose gas

abstract:
  We study the stability of a thermal $^{39}$K Bose gas across a broad Feshbach
resonance, focusing on the unitary regime, where the scattering length $a$
exceeds the thermal wavelength $\lambda$. We measure the general scaling laws
relating the particle-loss and heating rates to the temperature, scattering
length, and atom number. Both at unitarity and for positive $a \ll \lambda$ we
find agreement with three-body theory. However, for $a<0$ and away from
unitarity, we observe significant four-body decay. At unitarity, the three-body
loss coefficient, $L_3 \propto \lambda^4$, is three times lower than the
universal theoretical upper bound. This reduction is a consequence of
species-specific Efimov physics and makes $^{39}$K particularly promising for
studies of many-body physics in a unitary Bose gas.


title: Tuning the giant inverse magnetocaloric effect in Mn2-xCrxSb compounds

abstract:
  Structural, magnetic and magnetocaloric properties of Mn2-xCrxSb compounds
have been studied. In these compounds a first order magnetic phase transition
from the ferrimagnetic to the antiferromagnetic state occurs with decreasing
temperature, giving rise to giant inverse magnetocaloric effects that can be
tuned over a wide temperature interval through changes in substitution
concentration. Entropy changes as high as 7.5 J/kgK have been observed, and a
composition independent entropy change is obtained for several different
concentrations/working temperatures, making these compounds suitable candidates
for a composite working material.


title:
Action-based Character AI in Video-games with CogBots Architecture: A
  Preliminary Report

abstract:
  In this paper we propose an architecture for specifying the interaction of
non-player characters (NPCs) in the game-world in a way that abstracts common
tasks in four main conceptual components, namely perception, deliberation,
control, action. We argue that this architecture, inspired by AI research on
autonomous agents and robots, can offer a number of benefits in the form of
abstraction, modularity, re-usability and higher degrees of personalization for
the behavior of each NPC. We also show how this architecture can be used to
tackle a simple scenario related to the navigation of NPCs under incomplete
information about the obstacles that may obstruct the various way-points in the
game, in a simple and effective way.


title: Cohomology of fiber bunched cocycles over hyperbolic systems

abstract:
  We consider Holder continuous fiber bunched GL(d,R)-valued cocycles over an
Anosov diffeomorphism. We show that two such cocycles are Holder continuously
cohomologous if they have equal periodic data, and prove a result for cocycles
with conjugate periodic data. We obtain a corollary for cohomology between any
constant cocycle and its small perturbation. The fiber bunching condition means
that non-conformality of the cocycle is dominated by the expansion and
contraction in the base. We show that this condition can be established based
on the periodic data. Some important examples of cocycles come from the
differential of the diffeomorphism and its restrictions to invariant
sub-bundles. We discuss an application of our results to the question when an
Anosov diffeomorphism is smoothly conjugate to a C^1-small perturbation. We
also establish Holder continuity of a measurable conjugacy between a fiber
bunched cocycle and a uniformly quasiconformal one. Our main results also hold
for cocycles with values in a closed subgroup of GL(d,R), for cocycles over
hyperbolic sets and shifts of finite type, and for linear cocycles on a
non-trivial vector bundle.


title: Heterogeneous teleportation with laser and quantum light sources

abstract:
  Quantum information technology is set to transform critical network security
using quantum cryptography, and complex scientific and engineering simulations
with quantum computing. Quantum computer nodes may be based on a variety of
systems, such as linear optics, ions, or solid state architectures such as
NV-centers in diamond, semiconductor quantum dots or spins in silicon.
Interfacing any of these platforms with photonic qubits in secure quantum
networks will require quantum teleportation protocols to transfer the
information, and matter-light teleportation has for some of these systems been
demonstrated. However, although it is conceivable that the input photon
originates from a dissimilar source to that supplying the entangled resources,
every demonstration so far of teleportation using linear optics use the same or
identical sources for the input and entangled photons, often accompanied by a
fourth heralding photon. Here we show that photons from fundamentally different
sources can be used in the optical quantum teleportation protocol. Input
photons are generated by a laser, and teleported using polarisation-entangled
photon pairs electrically generated by an entangled-light-emitting diode
(ELED). The sources have bandwidth differing by a factor 1000, different photon
statistics and need not be precisely degenerate- but we still observe a
teleportation fidelity of 0.77, beating the quantum limit by 10 standard
deviations. This is a significant leap towards practical applications, such as
extending the range of existing QKD systems using quantum relays and repeaters,
which usually use weak coherent laser pulses for quantum information transport.
The use of an ELED offers practical advantages of electrical control, and as we
show erases the multi-photon character of the laser input field, thus
eliminating errors if used in a quantum optics circuit.


title:
Microstructure evolution and heterogeneous nucleation in ternary
  Al-Cu-Ni alloys

abstract:
  The simulations of the solidification of ternary Al-Cu-Ni alloys by means of
a general multi-phase-field model for an arbitrary number of phases reveal that
the real microstructure can be generated by coupling the real thermodynamic
parameters of the phases and the evolution equations. The stability
requirements on individual interfaces for model functions guarantee an absence
of "ghost" phases in a $n$-dimensional phase-field space. The special
constructed thermal noise terms disturb the stability and can produce the
heterogeneous nucleation of product phases in accordance to the energetic and
concentration conditions. Of particular interest is that in triple points the
nucleation of the forth phase occurs without additional noise. Another
observation is the growth of the eutectic-like or peritectic-like structure in
various alloys.


title: Higher Spin Theory - Part I

abstract:
  These notes comprise a part of the introductory lectures on Higher Spin
Theory presented in the Eighth Modave Summer School in Mathematical Physics. We
construct free higher-spin theories and turn on interactions to find that
inconsistencies show up in general. Interacting massless fields in flat space
are in tension with gauge invariance and this leads to various no-go theorems.
While massive fields exhibit superluminal propagation, appropriate non-minimal
terms may cure such pathologies as they do in String Theory--a fact that we
demonstrate. Given that any interacting massive higher-spin particle is
described by an effective field theory, we compute a model independent upper
bound on the ultraviolet cutoff in the case of electromagnetic coupling in flat
space and discuss its implications. Finally, we consider various possibilities
of evading the no-go theorems for massless fields, among which Vasiliev's
higher-spin gauge theory is one. We employ the BRST-antifield method for a
simple but non-trivial gauge system in flat space to find a non-abelian cubic
coupling and to explore its higher-order consistency.


title: Higher-Spin Theory - Part II: enter dimension three

abstract:
  These notes aim at providing a pedagogical and pedestrian introduction to the
subject and assume no previous knowledge apart from that of general relativity.
We shall first recall the "frame" formulation of the later theory, then
particularize it to three dimensions, and will end those preliminaries by
reviewing the formulation of three-dimensional gravity as a gauge theory
governed by a Chern-Simons action. An analogous path is then followed for
higher-spin fields at the free level. Once the equivalent Chern-Simons action
is established thereof, it is then explained how one can formulate
three-dimensional higher-spin theories at the non-linear level by considering
higher-spin Lie algebras. We then move on to commenting on what has already
been done in the context of these theories and what interesting areas of
research are currently under investigation.


title:
Regularization approaches for quantitative photoacoustic tomography
  using the radiative transfer equation

abstract:
  Quantitative Photoacoustic tomography (QPAT) is an emerging medical imaging
modality which offers the possibility of combining the high resolution of the
acoustic waves and large contrast of optical waves by quantifying the molecular
concentration in biological tissue.
  In this paper, we prove properties of the forward operator that associate
optical parameters from measurements of a reconstructed Photoacoustic image.
This is often referred to as the optical inverse problem, that is nonlinear and
ill-posed. The proved properties of the forward operator provide sufficient
conditions to show regularized properties of approximated solutions obtained by
Tikhonov-type approaches. The proposed Tikhonov- type approaches analyzed in
this contribution are concerned with physical and numerical issues as well as
with \textit{a priori} information on the smoothness of the optical
coefficients for with (PAT) is particularly a well-suited imaging modality.


title: Resonant enhancement of Anderson localization: Analytical approach

abstract:
  We study localization properties of the eigenstates and wave transport in
one-dimensional system consisting of a set of barriers/wells of fixed thickness
and random heights. The inherent peculiarity of the system resulting in the
enhanced Anderson localization, is the presence of the resonances emerging due
to the coherent interaction of the waves reflected from the interfaces between
wells/barriers. Our theoretical approach allows to derive the localization
length in infinite samples both out of the resonances and close to them. We
examine how the transport properties of finite samples can be described in
terms of this length. It is shown that the analytical expressions obtained by
standard methods for continuous random potentials can be used in our discrete
model, in spite of the presence of resonances that cannot be described by
conventional theories. We also discuss whether the single parameter scaling is
valid in view of the suggested modification of the theory. All our results are
illustrated with numerical data manifesting an excellent agreement with the
theory.


title: Moral foundations in an interacting neural networks society

abstract:
  The moral foundations theory supports that people, across cultures, tend to
consider a small number of dimensions when classifying issues on a moral basis.
The data also show that the statistics of weights attributed to each moral
dimension is related to self-declared political affiliation, which in turn has
been connected to cognitive learning styles by recent literature in
neuroscience and psychology. Inspired by these data, we propose a simple
statistical mechanics model with interacting neural networks classifying
vectors and learning from members of their social neighborhood about their
average opinion on a large set of issues. The purpose of learning is to reduce
dissension among agents even when disagreeing. We consider a family of learning
algorithms parametrized by \delta, that represents the importance given to
corroborating (same sign) opinions. We define an order parameter that
quantifies the diversity of opinions in a group with homogeneous learning
style. Using Monte Carlo simulations and a mean field approximation we find the
relation between the order parameter and the learning parameter \delta at a
temperature we associate with the importance of social influence in a given
group. In concordance with data, groups that rely more strongly on
corroborating evidence sustains less opinion diversity. We discuss predictions
of the model and propose possible experimental tests.


title: Multipliers of embedded discs

abstract:
  We consider a number of examples of multiplier algebras on Hilbert spaces
associated to discs embedded into a complex ball in order to examine the
isomorphism problem for multiplier algebras on complete Nevanlinna-Pick
reproducing kernel Hilbert spaces. In particular, we exhibit uncountably many
discs in the ball of $\ell^2$ which are multiplier biholomorphic but have
non-isomorphic multiplier algebras. We also show that there are closed discs in
the ball of $\ell^2$ which are varieties, and examine their multiplier
algebras. In finite balls, we provide a counterpoint to a result of Alpay,
Putinar and Vinnikov by providing a proper rational biholomorphism of the disc
onto a variety $V$ in $\mathbb B_2$ such that the multiplier algebra is not all
of $H^\infty(V)$. We also show that the transversality property, which is one
of their hypotheses, is a consequence of the smoothness that they require.


title: Arithmetic dynamics on smooth cubic surfaces

abstract:
  We study dynamical systems induced by birational automorphisms on smooth
cubic surfaces defined over a number field $K$. In particular we are interested
in the product of non-commuting birational Geiser involutions of the cubic
surface. We present results describing the sets of $K$ and $\bar{K}$-periodic
points of the system, and give a necessary and sufficient condition for a
dynamical local-global property called strong residual periodicity. Finally, we
give a dynamical result relating to the Mordell--Weil problem on cubic
surfaces.


title: Intersection Bodies with Certain Symmetries

abstract:
  In this paper we study how certain symmetries of convex bodies affect their
geometric properties. In particular, we consider the impact of symmetries
generated by the block diagonal subgroup of orthogonal transformations,
generalizing complex and quaternionic convex bodies. We conduct a systematic
study of sections of bodies with symmetries of this type, with the emphasis on
problems of the Busemann-Petty type and hyperplane inequalities. The main role
belongs to the class of intersection bodies with symmetries.


title: Scalable Eventually Consistent Counters over Unreliable Networks

abstract:
  Counters are an important abstraction in distributed computing, and play a
central role in large scale geo-replicated systems, counting events such as web
page impressions or social network "likes". Classic distributed counters,
strongly consistent, cannot be made both available and partition-tolerant, due
to the CAP Theorem, being unsuitable to large scale scenarios. This paper
defines Eventually Consistent Distributed Counters (ECDC) and presents an
implementation of the concept, Handoff Counters, that is scalable and works
over unreliable networks. By giving up the sequencer aspect of classic
distributed counters, ECDC implementations can be made AP in the CAP design
space, while retaining the essence of counting. Handoff Counters are the first
CRDT (Conflict-free Replicated Data Type) based mechanism that overcomes the
identity explosion problem in naive CRDTs, such as G-Counters (where state size
is linear in the number of independent actors that ever incremented the
counter), by managing identities towards avoiding global propagation and
garbage collecting temporary entries. The approach used in Handoff Counters is
not restricted to counters, being more generally applicable to other data types
with associative and commutative operations.


title:
Local positivity of line bundles on smooth toric varieties and Cayley
  polytopes

abstract:
  For any non-negative integer $k$ the $k$-th osculating dimension at a given
point $x$ of a variety $X$ embedded in projective space gives a measure of the
local positivity of order $k$ at that point. In this paper we show that a
smooth toric embedding having maximal $k$-th osculating dimension, but not
maximal $(k+1)$-th osculating dimension, at every point is associated to a
Cayley polytope of order $k$. This result generalises an earlier
characterisation by David Perkinson. In addition we prove that the above
assumptions are equivalent to requiring that the Seshadri constant is exactly
$k$ at every point of $X$, generalising a result of Atsushi Ito.


title:
Lanthanide impurities in wide bandgap semiconductors: a possible roadmap
  for spintronic devices

abstract:
  The electronic properties of lanthanide (from Eu to Tm) impurities in
wurtzite gallium nitride and zinc oxide were investigated by first principles
calculations, using an all electron methodology plus a Hubbard potential
correction. The results indicated that the 4f-related energy levels remain
outside the bandgap in both materials, in good agreement with a recent
phenomenological model, based on experimental data. Additionally, zinc oxide
doped with lanthanide impurities became an n-type material, showing a coupling
between the 4f-related spin polarized states and the carriers. This coupling
may generate spin polarized currents, which could lead to applications in
spintronic devices.


title: Quasi-periodic oscillations in superfluid magnetars

abstract:
  We study the time-evolution of axisymmetric oscillations of superfluid
magnetars with a poloidal magnetic field and an elastic crust, working in
Newtonian gravity. Extending earlier models, we study the effects of
composition gradients and entrainment on the magneto-elastic wave spectrum and
on the potential identification of the observed quasi periodic oscillations
(QPOs). We use two-fluid polytropic equations of state to construct our stellar
models, which mimic realistic composition gradient configurations. The basic
features of the axial axisymmetric spectrum of normal fluid stars are
reproduced by our results and in addition we find several magneto-elastic waves
with a mixed character. In the core, these oscillations mimic the shear mode
pattern of the crust as a result of the strong dynamical coupling between these
two regions. Incorporating the most recent entrainment configurations in our
models, we find that they have a double effect on the spectrum: the magnetic
oscillations of the core have a frequency enhancement, while the mixed
magneto-elastic waves originating in the crust are moved towards the
frequencies of the single-fluid case. The distribution of lower-frequency
magneto-elastic oscillations for our models is qualitatively similar to the
observed magnetar QPOs with $\nu < 155 $Hz. \emph{In particular, some of these
QPOs could represent mixed magneto-elastic oscillations with frequencies not
greatly different from the crustal modes of an unmagnetised star.} We find that
many QPOs could even be accounted for using a model with a relatively weak
polar field of $B_{p} \simeq 3\cdot 10^{14}$G, because of the superfluid
enhancement of magnetic oscillations. Finally, we discuss the possible
identification of 625 and 1837~Hz QPOs either with non-axisymmetric modes or
with high-frequency axisymmetric QPOs excited by crustal mode overtones.


title: Skyrmions induced by dissipationless drag in U(1)xU(1) superconductors

abstract:
  Rather generically, multicomponent superconductors and superfluids have
intercomponent current-current interaction. We show that in superconductors
with substantially strong intercomponent drag interaction, the topological
defects which form in external field are characterized by a skyrmionic
topological charge. We then demonstrate that they can be distinguished from
ordinary vortex matter by a very characteristic magnetization process due to
the dipolar nature of inter-skyrmion forces. The results provide an
experimental signature to confirm or rule out the formation $p$-wave state with
reduced spin stiffness in $p$-wave superconductors.


title:
Stability and superconductivity of Ca-B phases at ambient and high
  pressure

abstract:
  In the search for MgB2-like phonon-mediated superconductors we have carried
out a systematic density functional theory study of the Ca-B system,
isoelectronic to Mg-B, at ambient and gigapascal pressures. A remarkable
variety of candidate high-pressure ground states have been identified with an
evolutionary crystal structure search, including a stable alkaline-earth
monoboride oI8-CaB, a superconductor with an expected critical temperature (Tc)
of 5.5 K. We have extended our previous study of CaB6 [Phys. Rev. Lett. 108,
102501 (2012)] to nearby stoichiometries of CaB[6+x], finding that extra boron
further stabilizes the proposed B24 units. Here an explanation is given for the
transformation of cP7-CaB6 into the more complex oS56 and tI56 polymorphs at
high pressure. The stability of the known metallic tP20 phase of CaB4 at
ambient pressure is explained from a crystal structure and chemical bonding
point of view. The tP20 structure is shown to destabilize at 19 GPa relative to
a semiconducting MgB4-like structure due to chemical pressure from the metal
ion. The hypothetical AlB2-type structure of CaB2, previously shown to have
favorable superconducting features, is demonstrated here to be unstable at all
pressures; two new metallic CaB2 polymorphs with unusual boron networks
stabilize at elevated pressures above 8 GPa but are found to have very low
critical temperatures (Tc ~1 K). The stability of all structures has been
rationalized through comparison with alkaline-earth analogs, emphasizing the
importance of the size of the metal ion for the stability of borides. Our study
illustrates the inverse correlation between the thermodynamic stability and
superconducting properties and the necessity to carefully examine both in the
design of new synthesizable superconducting materials.


title:
A combinatorial proof and refinement of a partition identity of
  Siladi\'c

abstract:
  In this paper we give a combinatorial proof and refinement of a
Rogers-Ramanujan type partition identity of Siladi\'c arising from the study of
Lie algebras. Our proof uses generating functions and $q$-difference equations.


title:
An Accurate Method for Determining the Pre-Change Run-Length
  Distribution of the Generalized Shiryaev--Roberts Detection Procedure

abstract:
  Change-of-measure is a powerful technique used across statistics, probability
and analysis. Particularly known as Wald's likelihood ratio identity, the
technique enabled the proof of a number of exact and asymptotic optimality
results pertaining to the problem of quickest change-point detection. Within
the latter problem's context we apply the technique to develop a numerical
method to compute the Generalized Shiryaev--Roberts (GSR) detection procedure's
pre-change Run-Length distribution. Specifically, the method is based on the
integral-equations approach and uses the collocation framework with the basis
functions chosen so as to exploit a certain change-of-measure identity and a
specific martingale property of the GSR procedure's detection statistic. As a
result, the method's accuracy and robustness improve substantially, even though
the method's theoretical rate of convergence is shown to be merely quadratic. A
tight upper bound on the method's error is supplied as well. The method is not
restricted to a particular data distribution or to a specific value of the GSR
detection statistic's "headstart". To conclude, we offer a case study to
demonstrate the proposed method at work, drawing particular attention to the
method's accuracy and its robustness with respect to three factors: (a)
partition size, (b) change magnitude, and (c) Average Run Length (ARL) to false
alarm level. Specifically, assuming independent standard Gaussian observations
undergoing a surge in the mean, we employ the method to study the GSR
procedure's Run-Length's pre-change distribution, its average (i.e., the usual
ARL to false alarm) and standard deviation. As expected from the theoretical
analysis, the method's high accuracy and robustness with respect to the
foregoing three factors are confirmed experimentally. We also comment on
extending the method to handle other performance measures and other procedures.


title: Degree of Unirationality for del Pezzo Surfaces over Finite Fields

abstract:
  We address the question of the degree of unirational parameterizations of
degree four and degree three del Pezzo surfaces. Specifically we show that
degree four del Pezzo surfaces over finite fields admit degree two
parameterizations and minimal cubic surfaces admit parameterizations of degree
6. It is an open question whether or not minimal cubic surfaces over finite
fields can admit degree 3 or 4 parameterizations.


title:
A Novel Grid Based Dynamic Energy Efficient Routing Approach for Highly
  Dense Mobile Ad Hoc Networks

abstract:
  We have proposed a novel Grid Based Dynamic Energy Efficient Routing (GBDEER)
approach which is aimed to construct an energy efficient path from source to
destination based on grid area, where each grid will have three deferent levels
of transmission power.


title:
Comments on Letter (Phys. Rev. L, Vol.89, No. 10,2002) by D. Shapira and
  M. Saltmarsh

abstract:
  This article focuses on correcting several factual errors and critiques in
the previously published Letter in Phys. Rev. L, Vol. 89, No. 10, 2022, by D.
Shapira and M. Saltmarsh. The authors of the Letter did not perform their own
"independent" experiments as claimed; they did not perform control experiments
with normal acetone; and, neither did they monitor for tritium. It their
Letter, the authors (D. Shapira and M. Saltmarsh) failed to disclose that the
data they collected actually confirmed our claims of having observed
statistically significant nuclear emissions in chilled, cavitated deuterated
acetone.


title:
Novel linear algebraic theory and one-hundred-million-atom electronic
  structure calculation on the K computer

abstract:
  A novel linear-algebraic algorithm, multiple Arnoldi method, was developed in
an interdisciplinary study between physics and applied mathematics and realized
one-hundred-million-atom (100-nm-scale) electronic state calculations on the K
computer. The algorithms are Krylov-subspace solvers for generalized shifted
linear equations and were implemented in our order-N calculation code ELSES
(http://www.elses.jp/). Moreover, a method for calculating eigen states is
presented as a theoretical extension.


title:
Inferring the Andromeda Galaxy's mass from its giant southern stream
  with Bayesian simulation sampling

abstract:
  M31 has a giant stream of stars extending far to the south and a great deal
of other tidal debris in its halo, much of which is thought to be directly
associated with the southern stream. We model this structure by means of
Bayesian sampling of parameter space, where each sample uses an N-body
simulation of a satellite disrupting in M31's potential. We combine constraints
on stellar surface densities from the Isaac Newton Telescope survey of M31 with
kinematic data and photometric distances. This combination of data tightly
constrains the model, indicating a stellar mass at last pericentric passage of
log(M_s / Msun) = 9.5+-0.1, comparable to the LMC. Any existing remnant of the
satellite is expected to lie in the NE Shelf region beside M31's disk, at
velocities more negative than M31's disk in this region. This rules out the
prominent satellites M32 or NGC 205 as the progenitor, but an overdensity
recently discovered in M31's NE disk sits at the edge of the progenitor
locations found in the model. M31's virial mass is constrained in this model to
be log(M200) = 12.3+-0.1, alleviating the previous tension between
observational virial mass estimates and expectations from the general galactic
population and the timing argument. The techniques used in this paper, which
should be more generally applicable, are a powerful method of extracting
physical inferences from observational data on tidal debris structures.


title: On the Velocity in the Effective Field Theory of Large Scale Structures

abstract:
  We compute the renormalized two-point functions of density, divergence and
vorticity of the velocity in the Effective Field Theory of Large Scale
Structures. Because of momentum and mass conservation, the corrections from
short scales to the large-scale power spectra of density, divergence and
vorticity must start at order $k^{4}$. For the vorticity this constitutes one
of the two leading terms. Exact (approximated) self-similarity of an
Einstein-de Sitter ($\Lambda$CDM) background fixes the time dependence so that
the vorticity power spectrum at leading order is determined by the symmetries
of the problem and the power spectrum around the non-linear scale. We show that
to cancel all divergences in the velocity correlators one needs new
counterterms. These fix the definition of velocity and do not represent new
properties of the system. For an Einstein-de Sitter universe, we show that all
three renormalized cross- and auto-correlation functions have the same
structure but different numerical coefficients, which we compute. We elucidate
the differences between using momentum and velocity.


title:
Single event effect characterization of the mixed-signal ASIC developed
  for CCD camera in space use

abstract:
  We present the single event effect (SEE) tolerance of a mixed-signal
application-specific integrated circuit (ASIC) developed for a charge-coupled
device camera onboard a future X-ray astronomical mission. We adopted proton
and heavy ion beams at HIMAC/NIRS in Japan. The particles with high linear
energy transfer (LET) of 57.9 MeV cm^{2}/mg is used to measure the single event
latch-up (SEL) tolerance, which results in a sufficiently low cross-section of
sigma_{SEL} < 4.2x10^{-11} cm^{2}/(IonxASIC). The single event upset (SEU)
tolerance is estimated with various kinds of species with wide range of energy.
Taking into account that a part of the protons creates recoiled heavy ions that
has higher LET than that of the incident protons, we derived the probability of
SEU event as a function of LET. Then the SEE event rate in a low-earth orbit is
estimated considering a simulation result of LET spectrum. SEL rate is below
once per 49 years, which satisfies the required latch-up tolerance. The upper
limit of the SEU rate is derived to be 1.3x10^{-3}events/sec. Although the SEU
events cannot be distinguished from the signals of X-ray photons from
astronomical objects, the derived SEU rate is below 1.3% of expected non-X-ray
background rate of the detector and hence these events should not be a major
component of the instrumental background.


title:
Experimental proposal for the generation of entangled photon triplets by
  third-order spontaneous parametric downconversion in optical fibers

abstract:
  We present an experimental proposal for the generation of photon triplets
based on third-order spontaneous para- metric downconversion in thin optical
fibers. Our analysis includes expressions for the quantum state, which de-
scribes the photon triplets and for the generation rate in terms of all
experimental parameters. We also present, for a specific source design,
numerically calculated generation rates.


title: Examples of expanding endomorphisms on fake tori

abstract:
  We construct expanding endomorphisms on smooth manifolds that are
homeomorphic to tori yet have exotic underlying PL-structures.