title: Selection Rules and RR Couplings on Non-BPS Branes

abstract:
  We compute three and four point functions of the non-BPS scattering
amplitudes, including a closed string Ramond-Ramond, gauge/scalar and tachyon
in type IIA (IIB) superstring theories. We then discover a unique expansion for
tachyon amplitudes in both non-BPS and D-brane anti D-brane formalisms. Based
on remarks on Chan-Paton factors and arXiv:1304.3711, we propose selection
rules for all non-BPS scattering amplitudes of type II superstring theory.
These selection rules, rule out various non-BPS higher point correlation
functions of the string theory.


title: Stability and bifurcation of a soap film spanning an elastic loop

abstract:
  The Euler--Plateau problem, proposed by \cite{gm}, concerns a soap film
spanning a flexible loop. The shapes of the film and the loop are determined by
the interactions between the two components. In the present work, the
Euler--Plateau problem is reformulated to yield a boundary-value problem for a
vector field that parameterizes both the spanning surface and the bounding
loop. Using the first and second variations of the relevant free-energy
functional, detailed bifurcation and stability analyses are performed. For
spanning surface with energy density $\sigma$ and a bounding loop with length
$2\pi R$ and bending rigidity $a$, the first bifurcation, during which the
spanning surface remains flat but the bounding loop becomes noncircular, occurs
at $\sigma R^3/a=3$, confirming a result obtained previously via an energy
comparison. Other bifurcation solution branches, including those emanating from
the flat circular solution branch to nonplanar solution branches, are also
shown to be unstable.


title:
Acceleration of univariate global optimization algorithms working with
  Lipschitz functions and Lipschitz first derivatives

abstract:
  This paper deals with two kinds of the one-dimensional global optimization
problems over a closed finite interval: (i) the objective function $f(x)$
satisfies the Lipschitz condition with a constant $L$; (ii) the first
derivative of $f(x)$ satisfies the Lipschitz condition with a constant $M$. In
the paper, six algorithms are presented for the case (i) and six algorithms for
the case (ii). In both cases, auxiliary functions are constructed and
adaptively improved during the search. In the case (i), piece-wise linear
functions are constructed and in the case (ii) smooth piece-wise quadratic
functions are used. The constants $L$ and $M$ either are taken as values known
a priori or are dynamically estimated during the search. A recent technique
that adaptively estimates the local Lipschitz constants over different zones of
the search region is used to accelerate the search. A new technique called the
\emph{local improvement} is introduced in order to accelerate the search in
both cases (i) and (ii). The algorithms are described in a unique framework,
their properties are studied from a general viewpoint, and convergence
conditions of the proposed algorithms are given. Numerical experiments executed
on 120 test problems taken from the literature show quite a promising
performance of the new accelerating techniques.


title:
Virtual continuity of the measurable functions of several variables, and
  Sobolev embedding theorems

abstract:
  Classical Luzin's theorem states that the measurable function of one variable
is "almost" continuous. This is not so anymore for functions of several
variables. The search of right analogue of the Luzin theorem leads to a notion
of virtually continuous functions of several variables. This probably new
notion appears implicitly in the statements like embeddings theorems and traces
theorems for Sobolev spaces. In fact, it reveals their nature as theorems about
virtual continuity. This notion is especially useful for the study and
classification of measurable functions, aswell as in some questions on
dynamical systems, polymorphisms and bistochastic measures. In this work we
recall necessary definitions and properties of admissible metrics, define
virtual continuity, describe some of applications. Detailed analysis is to be
presented in another paper.


title:
The Dirac equation as a quantum walk: higher dimensions, observational
  convergence

abstract:
  The Dirac equation can be modelled as a quantum walk, with the quantum walk
being: discrete in time and space (i.e. a unitary evolution of the
wave-function of a particle on a lattice); homogeneous (i.e.
translation-invariant and time-independent), and causal (i.e. information
propagates at a bounded speed, in a strict sense). This quantum walk model was
proposed independently by Succi and Benzi, Bialynicki-Birula and Meyer: we
rederive it in a simple way in all dimensions and for hyperbolic symmetric
systems in general. We then prove that for any time t, the model converges to
the continuous solution of the Dirac equation at time t, i.e. the probability
of observing a discrepancy between the model and the solution is an
O({\epsilon}^2), with {\epsilon} the discretization step. At the practical
level, this result is of interest for the quantum simulation of relativistic
particles. At the theoretical level, it reinforces the status of this quantum
walk model as a simple, discrete toy model of relativistic particles.
  Keywords: Friedrichs symmetric hyperbolic systems, Quantum Walk, Quantum
Lattice Gas Automata, Quantum Computation, Trotter-Kato,
Baker-Campbell-Thomson, Operator splitting, Lax theorem


title:
Transformity: The Dependence of the Laws of Physics on
  Higher-Dimensional Coordinate Transformations

abstract:
  In unified field theories with more than four dimensions, the form of the
equations of physics in spacetime depends in general on the choice of
coordinates in higher dimensions. The reason is that the group of coordinate
transformations in (say) five dimensions is broader than in spacetime. This
kind of gauge dependence is illustrated by two examples: a cosmological model
in general relativity and a matter wave in quantum theory. Surprisingly, both
are equivalent by coordinate transformations to flat featureless
five-dimensional space. This kind of transformity is of fundamental
significance for the philosophy of physics.


title:
Visualization of Electron Nematicity and Unidirectional Antiferroic
  Fluctuations at High Temperatures in NaFeAs

abstract:
  The driving forces behind electronic nematicity in the iron pnictides remain
hotly debated. We use atomic-resolution variable-temperature scanning tunneling
spectroscopy to provide the first direct visual evidence that local electronic
nematicity and unidirectional antiferroic (stripe) fluctuations persist to
temperatures almost twice the nominal structural ordering temperature in the
parent pnictide NaFeAs. Low-temperature spectroscopic imaging of
nematically-ordered NaFeAs shows anisotropic electronic features that are not
observed for isostructural, non-nematic LiFeAs. The local electronic features
are shown to arise from scattering interference around crystalline defects in
NaFeAs, and their spatial anisotropy is a direct consequence of the structural
and stripe-magnetic order present at low temperature. We show that the
anisotropic features persist up to high temperatures in the nominally
tetragonal phase of the crystal. The spatial distribution and energy dependence
of the anisotropy at high temperatures is explained by the persistence of large
amplitude, short-range, unidirectional, antiferroic (stripe) fluctuations,
indicating that strong density wave fluctuations exist and couple to near-Fermi
surface electrons even far from the structural and density wave phase
boundaries.


title:
Observational Diagnostics for Two-Fluid Turbulence in Molecular Clouds
  As Suggested by Simulations

abstract:
  We present high resolution simulations of two-fluid (ion-neutral) MHD
turbulence with resolutions as large as 512^3. The simulations are supersonic
and mildly sub-Alfvenic, in keeping with the conditions present in molecular
clouds. Such turbulence is thought to influence star formation processes in
molecular clouds because typical cores form on length scales that are
comparable to the dissipation scales of this turbulence in the ions. The
simulations are motivated by the fact that recent studies of isophotologue
lines in molecular clouds have found significant differences in the
linewidth-size relationship for neutral and ion species. The goals of this
paper are to explain those observations using simulations and analytic theory,
present a new set of density-based diagnostics by drawing on similar
diagnostics that have been obtained by studying single-fluid turbulence, and
show that our two-fluid simulations play a vital role in reconciling
alternative models of star formation. The velocity-dependent diagnostics
display a complementarity with the density-dependent diagnostics. We find that
the linewidth-size relationships show a prominent difference between ions and
neutrals when the line of sight is orthogonal to the mean field. This is
because the MHD waves in the ions differ from hydrodynamic waves in the
neutrals. We also find that the density probability distribution functions
(PDFs) show prominent differences between the ions and neutrals when the line
of sight is parallel to the mean field. This is because the velocity
fluctuations in the ions tend to produce column density fluctuations along
field lines. When the magnetic field makes an angle to the line of sight, both
observable differences should be visible. These diagnostics should be easy for
observers to test. This analysis assumes optically thin lines and a mean
magnetic field that is uniform in direction within a cloud.


title:
Optical properties and electronic structure of the nonmetallic metal
  FeCrAs

abstract:
  The complex optical properties of a single crystal of hexagonal FeCrAs ($T_N
\simeq 125$ K) have been determined above and below $T_N$ over a wide frequency
range in the planes (along the $b$ axis), and along the perpendicular ($c$
axis) direction. At room temperature, the optical conductivity
$\sigma_1(\omega)$ has an anisotropic metallic character. The electronic band
structure reveals two bands crossing the Fermi level, allowing the optical
properties to be described by two free-carrier (Drude) contributions consisting
of a strong, broad component and a weak, narrow term that describes the
increase in $\sigma_1(\omega)$ below $\simeq 15$ meV. The dc-resistivity of
FeCrAs is ``non-metallic'', meaning that it rises in power-law fashion with
decreasing temperature, without any signature of a transport gap. In the
analysis of the optical conductivity, the scattering rates for both Drude
contributions track the dc-resistivity quite well, leading us to conclude that
the non-metallic resistivity of FeCrAs is primarily due to a scattering rate
that increases with decreasing temperature, rather than the loss of free
carriers. The power law $\sigma_1(\omega) \propto \omega^{-0.6}$ is observed in
the near-infrared region and as $T\rightarrow T_N$ spectral weight is
transferred from low to high energy ($\gtrsim 0.6$ eV); these effects may be
explained by either the two-Drude model or Hund's coupling. We also find that a
low-frequency in-plane phonon mode decreases in frequency for $T < T_N$,
suggesting the possibility of spin-phonon coupling.


title:
Solving ordinary differential equations on the Infinity Computer by
  working with infinitesimals numerically

abstract:
  There exists a huge number of numerical methods that iteratively construct
approximations to the solution $y(x)$ of an ordinary differential equation
(ODE) $y'(x)=f(x,y)$ starting from an initial value $y_0=y(x_0)$ and using a
finite approximation step $h$ that influences the accuracy of the obtained
approximation. In this paper, a new framework for solving ODEs is presented for
a new kind of a computer -- the Infinity Computer (it has been patented and its
working prototype exists). The new computer is able to work numerically with
finite, infinite, and infinitesimal numbers giving so the possibility to use
different infinitesimals numerically and, in particular, to take advantage of
infinitesimal values of $h$. To show the potential of the new framework a
number of results is established. It is proved that the Infinity Computer is
able to calculate derivatives of the solution $y(x)$ and to reconstruct its
Taylor expansion of a desired order numerically without finding the respective
derivatives analytically (or symbolically) by the successive derivation of the
ODE as it is usually done when the Taylor method is applied. Methods using
approximations of derivatives obtained thanks to infinitesimals are discussed
and a technique for an automatic control of rounding errors is introduced.
Numerical examples are given.


title: Vibrations, Quanta and Biology

abstract:
  Quantum biology is an emerging field of research that concerns itself with
the experimental and theoretical exploration of non-trivial quantum phenomena
in biological systems. In this tutorial overview we aim to bring out
fundamental assumptions and questions in the field, identify basic design
principles and develop a key underlying theme -- the dynamics of quantum
dynamical networks in the presence of an environment and the fruitful interplay
that the two may enter. At the hand of three biological phenomena whose
understanding is held to require quantum mechanical processes, namely
excitation and charge transfer in photosynthetic complexes, magneto-reception
in birds and the olfactory sense, we demonstrate that this underlying theme
encompasses them all, thus suggesting its wider relevance as an archetypical
framework for quantum biology.

categories: physics.bio-ph physics.chem-ph q-bio.OT quant-ph


title:
Average size of the 2-Selmer group of Jacobians of monic even
  hyperelliptic curves

abstract:
  In [5], Manjul Bhargava and Benedict Gross considered the family of
hyperelliptic curves over $\Q$ having a fixed genus and a marked rational
Weierstrass point. They showed that the average size of the 2-Selmer group of
the Jacobians of these curves, when ordered by height, is 3. In this paper, we
consider the family of hyperelliptic curves over $\Q$ having a fixed genus and
a marked rational non-Weierstrass point. We show that when these curves are
ordered by height, the average size of the 2-Selmer group of their Jacobians is
6. This yields an upper bound of 5/2 on the average rank of the Mordell-Weil
group of the Jacobians of these hyperelliptic curves.
  Finally using an equidistribution result, we modify the techniques of [16] to
conclude that as $g$ tends to infinity, a proportion tending to 1 of these
monic even-degree hyperelliptic curves having genus $g$ have exactly two
rational points - the marked point at infinity and its hyperelliptic conjugate.


title: Additive Splittings of Homogeneous Polynomials

abstract:
  In this thesis we study when a homogeneous polynomial $f$ decomposes or
"splits" additively. Up to base change this means that it is possible to write
$f = g + h$ where $g$ and $h$ are polynomials in independent sets of variables.
This simple idea leads us to define a set $M_f$ of matrices associated to $f$.
Surprisingly, $M_f$ turns out to be a commutative matrix algebra when $deg f
\ge 3$. We show how all (regular) splittings $f = g_1 + ... + g_n$ can be
computed from $M_f$.
  Next we show how to find the minimal free resolution of the graded Artinian
Gorenstein quotient $R/\ann f$, assuming the minimal free resolutions of its
additive components $R/\ann g_i$ are known. From this we get simple formulas
for the Hilbert function $H$ and the graded Betti numbers of $R/\ann f$. We may
use this to compute the dimension of a "splitting subfamily" of the parameter
space $\PGor (H)$. Its closure is quite often an irreducible component of
$\PGor (H)$.
  We will also study degenerations of polynomials that split and see how they
relate to $M_f$. This situation is more difficult, but we are able to prove
several partial results that together cover many interesting cases. In
particular, we prove that $f$ has a regular or degenerate splitting if and only
if the ideal $\ann f$ has at least one generator in its socle degree. Finally,
we look at some generalizations of $M_f$.


title: Irredundant Sets in Atomic Boolean Algebras

abstract:
  Assuming GCH, we construct an atomic boolean algebra whose pi-weight is
strictly less than the least size of a maximal irredundant family.


title:
Multiparticle one-loop amplitudes and S-duality in closed superstring
  theory

abstract:
  Explicit expressions for one-loop five supergraviton scattering amplitudes in
both type II superstring theories are determined by making use of the pure
spinor formalism. The type IIB amplitude can be expressed in terms of a
doubling of ten-dimensional super Yang--Mills tree amplitude, while the type
IIA amplitude has additional pieces that cannot be expressed in that manner. We
evaluate the coefficients of terms in the analytic part of the low energy
expansion of the amplitude, which correspond to a series of terms in an
effective action of the schematic form D^{2k}R^5 for 0\le k \le 5 (where R is
the Riemann curvature). Comparison with earlier analyses of the tree amplitudes
and of the four-particle one-loop amplitude leads to an interesting extension
of the action of SL(2,Z) S-duality on the moduli-dependent coefficients in the
type IIB theory. We also investigate closed-string five-particle amplitudes
that violate conservation of the U(1) R-symmetry charge -- processes that are
forbidden in supergravity. The coefficients of their low energy expansion are
shown to agree with S-duality systematics. A less detailed analysis is also
given of the six-point function, resulting in the vanishing of the analytic
parts of the R^6 and D^4 R^6 interactions in the ten-dimensional effective
action, but not in lower dimensions.


title: The Affine Sieve Beyond Expansion I: Thin Hypotenuses

abstract:
  We study an instance of the Affine Sieve, producing a level of distribution
beyond that which can be obtained from current techniques, even assuming a
Selberg/Ramanujan-type spectral gap. In particular, we consider the set of
hypotenuses in a thin orbit of Pythagorean triples. Previous work [Kon07,
Kon09, KO12] gave an exponent of distribution alpha < 1/12 coming from
Gamburd's [Gam02] gap theta = 5/6, thereby producing R = 13 almost primes in
this linear sieve problem (see Sec. 1 for definitions). If conditioned on a
best possible gap theta = 1/2, the known method would give an exponent alpha <
1/4, and R = 5 almost primes. The exponent 1/4 is the natural analogue of the
"Bombieri-Vinogradov" range of distribution for this problem, see Remark 1.19.
  In this paper, we unconditionally prove the exponent alpha < 7/24 (in the
"Elliott-Halberstam" range), thereby producing R = 4 almost primes. The main
tools involve developing bilinear forms and the dispersion method in the range
of incomplete sums for this Affine Sieve problem.


title: Investigating the near-criticality of the Higgs boson

abstract:
  We extract from data the parameters of the Higgs potential, the top Yukawa
coupling and the electroweak gauge couplings with full 2-loop NNLO precision,
and we extrapolate the SM parameters up to large energies with full 3-loop NNLO
RGE precision. Then we study the phase diagram of the Standard Model in terms
of high-energy parameters, finding that the measured Higgs mass roughly
corresponds to the minimum values of the Higgs quartic and top Yukawa and the
maximum value of the gauge couplings allowed by vacuum metastability. We
discuss various theoretical interpretations of the near-criticality of the
Higgs mass.


title: Starobinsky-like Inflationary Models as Avatars of No-Scale Supergravity

abstract:
  Models of cosmological inflation resembling the Starobinsky R + R^2 model
emerge naturally among the effective potentials derived from no-scale
SU(N,1)/SU(N) x U(1) supergravity when N > 1. We display several examples in
the SU(2,1)/SU(2) x U(1) case, in which the inflaton may be identified with
either a modulus field or a matter field. We discuss how the modulus field may
be stabilized in models in which a matter field plays the role of the inflaton.
We also discuss models that generalize the Starobinsky model but display
different relations between the tilt in the spectrum of scalar density
perturbations, n_s, the tensor-to-scalar ratio, r, and the number of e-folds,
N_*. Finally, we discuss how such models can be probed by present and future
CMB experiments.


title: The flight of the GAPS prototype experiment

abstract:
  The General AntiParticle Spectrometer experiment (GAPS) is foreseen to carry
out a dark matter search using low-energy cosmic ray antideuterons at
stratospheric altitudes with a novel detection approach. A prototype flight
from Taiki, Japan was carried out in June 2012 to prove the performance of the
GAPS instrument subsystems (Lithium-drifted Silicon tracker and time-of-flight)
and the thermal cooling concept as well as to measure background levels. The
flight was a success and the stable flight operation of the GAPS detector
concept was proven. During the flight about $10^6$ charged particle triggers
were recorded, extensive X-ray calibrations of the individual tracker modules
were performed by using an onboard X-ray tube, and the background level of
atmospheric and cosmic X-rays was measured. The behavior of the tracker
performance as a function of temperature was investigated. The tracks of
charged particle events were reconstructed and used to study the tracking
resolution, the detection efficiency of the tracker, and coherent X-ray
backgrounds. A timing calibration of the time-of-flight subsystem was performed
to measure the particle velocity. The flux as a function of flight altitude and
as a function of velocity was extracted taking into account systematic
instrumental effects. The developed analysis techniques will form the basis for
future flights.


title: The Proper Motion of the Neutron Star in Cassiopeia A

abstract:
  Images from the High Resolution Camera on the Chandra X-ray Observatory were
used to measure the proper motion of the neutron star in Cassiopeia A over a
baseline of 10 years (1999-2009). One background source and 13 quasi-stationary
flocculi were chosen to register the two images. Pixel offsets between features
at each epoch were measured using four different statistical methods: Gaussian
fitting, centroiding, cross correlation, and the Cash statistic. In many cases
the offset measurements disagree in magnitude and/or direction by as much as 1
arcsecond, resulting in large uncertainties. As a result, the measurement for
the motion of the neutron star is marginal at 390 +/- 400 km/s in the southeast
direction. This motion is typical of the birth velocities of young pulsars and
is consistent with the inferred proper motion based on the offset of the
neutron star from the center of expansion of the optical ejecta.


title: Gamma-limit of a model for the elastic energy of an inextensible ribbon

abstract:
  A \Gamma-convergence result involving the elastic energy of a narrow
inextensible ribbon is established. A non-dimensional form of the elastic
energy is reduced to a one-dimensional integral over the centerline of the
ribbon with the aspect ratio of the ribbon being a small parameter. That
integral is observed to increase monotonically with the aspect ratio. The
\Gamma-limit of the family of non-dimensional elastic energies is taken in a
Sobolev space of centerlines with non-vanishing curvature. In that space, it is
shown that the \Gamma-limit is a functional first proposed by Sadowsky in the
context of narrow ribbons that form M\"{o}bius bands. The results obtained here
do not apply to such ribbons, since the centerline of a M\"{o}bius band must
have at least one inflection point. As a first step toward dealing with such
inflection points, a result is presented on the lower semicontinuity of the
Sadowsky functional with inflection points comprising a set of measure zero
within the domain of an arclength parameterization.


title:
The entropy vector formalism and the structure of multidimensional
  entanglement in multipartite systems

abstract:
  We review and generalize the recently introduced framework of entropy vectors
for detecting and quantifying genuine multipartite entanglement in high
dimensional multicomponent quantum systems. We show that these ideas can be
extended to discriminate among other forms of multipartite entanglement. In
particular, we develop methods to test whether density matrices are:
decomposable, i.\ e.\ separable with respect to certain given partitions of the
subsystems; $k$-separable, i.\ e.\ separable with respect to $k$ partitions of
the subsystems; $k$-partite entangled, i.e. there is entanglement among a
subset of at least $k$ parties. We also discuss how to asses the dimensionality
of entanglement in all these cases.


title: Astrophysics of Super-massive Black Hole Mergers

abstract:
  We present here an overview of recent work in the subject of astrophysical
manifestations of super-massive black hole (SMBH) mergers. This is a field that
has been traditionally driven by theoretical work, but in recent years has also
generated a great deal of interest and excitement in the observational
astronomy community. In particular, the electromagnetic (EM) counterparts to
SMBH mergers provide the means to detect and characterize these highly
energetic events at cosmological distances, even in the absence of a
space-based gravitational-wave observatory. In addition to providing a
mechanism for observing SMBH mergers, EM counterparts also give important
information about the environments in which these remarkable events take place,
thus teaching us about the mechanisms through which galaxies form and evolve
symbiotically with their central black holes.


title:
A Short Proof that the Extension Complexity of the Correlation Polytope
  Grows Exponentially

abstract:
  We establish that the extension complexity of the nXn correlation polytope is
at least 1.5^n by a short proof that is self-contained except for using the
fact that every face of a polyhedron is the intersection of all facets it is
contained in. The main innovative aspect of the proof is a simple combinatorial
argument showing that the rectangle covering number of the unique-disjointness
matrix is at least 1.5^n, and thus the nondeterministic communication
complexity of the unique-disjointness predicate is at least .58n. We thereby
slightly improve on the previously best known lower bounds 1.24^n and .31n,
respectively.


title: Distributed Bayesian Detection with Byzantine Data

abstract:
  In this paper, we consider the problem of distributed Bayesian detection in
the presence of Byzantines in the network. It is assumed that a fraction of the
nodes in the network are compromised and reprogrammed by an adversary to
transmit false information to the fusion center (FC) to degrade detection
performance. The problem of distributed detection is formulated as a binary
hypothesis test at the FC based on 1-bit data sent by the sensors. The
expression for minimum attacking power required by the Byzantines to blind the
FC is obtained. More specifically, we show that above a certain fraction of
Byzantine attackers in the network, the detection scheme becomes completely
incapable of utilizing the sensor data for detection. We analyze the problem
under different attacking scenarios and derive results for different
non-asymptotic cases. It is found that existing asymptotics-based results do
not hold under several non-asymptotic scenarios. When the fraction of
Byzantines is not sufficient to blind the FC, we also provide closed form
expressions for the optimal attacking strategies for the Byzantines that most
degrade the detection performance.


title: A master equation for a two-sided optical cavity

abstract:
  Quantum optical systems, like trapped ions, are routinely described by master
equations. The purpose of this paper is to introduce a master equation for
two-sided optical cavities with spontaneous photon emission. To do so, we use
the same notion of photons as in linear optics scattering theory and consider a
continuum of traveling-wave cavity photon modes. Our model predicts the same
stationary state photon emission rates for the different sides of a
laser-driven optical cavity as classical theories. Moreover, it predicts the
same time evolution of the total cavity photon number as the standard
standing-wave description in experiments with resonant and near-resonant laser
driving. The proposed resonator Hamiltonian can be used, for example, to
analyse coherent cavity-fiber networks [Kyoseva et al., New J. Phys. 14, 023023
(2012)].


title: The Matrix Element Method: Past, Present, and Future

abstract:
  The increasing use of multivariate methods, and in particular the Matrix
Element Method (MEM), represents a revolution in experimental particle physics.
With continued exponential growth in computing capabilities, the use of
sophisticated multivariate methods-- already common-- will soon become
ubiquitous and ultimately almost compulsory. While the existence of
sophisticated algorithms for disentangling signal and background might naively
suggest a diminished role for theorists, the use of the MEM, with its inherent
connection to the calculation of differential cross sections will benefit from
collaboration between theorists and experimentalists. In this white paper, we
will briefly describe the MEM and some of its recent uses, note some current
issues and potential resolutions, and speculate about exciting future
opportunities.


title: Axions and the Galactic Angular Momentum Distribution

abstract:
  We analyze the behavior of axion dark matter before it falls into a galactic
gravitational potential well. The axions thermalize sufficiently fast by
gravitational self-interactions that almost all go to their lowest energy state
consistent with the total angular momentum acquired from tidal torquing. That
state is a state of rigid rotation on the turnaround sphere. It predicts the
occurrence and detailed properties of the caustic rings of dark matter for
which observational evidence had been found earlier. We show that the vortices
in the axion Bose-Einstein condensate (BEC) are attractive, unlike those in
superfluid $^4$He and dilute gases. We expect that a large fraction of the
vortices in the axion BEC join into a single big vortex along the rotation axis
of the galaxy. The resulting enhancement of caustic rings explains the typical
size of the rises in the Milky Way rotation curve attributed to caustic rings.
We show that baryons and ordinary cold dark matter particles are entrained by
the axion BEC and acquire the same velocity distribution. The resulting
baryonic angular momentum distribution gives a good qualitative fit to the
distributions observed in dwarf galaxies. We give estimates of the minimum
fraction of dark matter that is axions.


title:
A Review of Energy Efficient Dynamic Source Routing Protocol for Mobile
  Ad Hoc Networks

abstract:
  This paper presents a comprehensive summery of different energy efficient
protocols that are based on the basic Mechanism of DSR and enlightens the
effort and commitment that has been made since last 10 year to turn the
traditional DSR as energy efficient routing protocol.


title: Performance Analysis of Clustering Algorithms for Gene Expression Data

abstract:
  Microarray technology is a process that allows thousands of genes
simultaneously monitor to various experimental conditions. It is used to
identify the co-expressed genes in specific cells or tissues that are actively
used to make proteins, This method is used to analysis the gene expression, an
important task in bioinformatics research. Cluster analysis of gene expression
data has proved to be a useful tool for identifying co-expressed genes,
biologically relevant groupings of genes and samples. In this paper we analysed
K-Means with Automatic Generations of Merge Factor for ISODATA- AGMFI, to group
the microarray data sets on the basic of ISODATA. AGMFI is to generate initial
values for merge and Spilt factor, maximum merge times instead of selecting
efficient values as in ISODATA. The initial seeds for each cluster were
normally chosen either sequentially or randomly. The quality of the final
clusters was found to be influenced by these initial seeds. For the real life
problems, the suitable number of clusters cannot be predicted. To overcome the
above drawback the current research focused on developing the clustering
algorithms without giving the initial number of clusters.


title:
Refining Data Security in Infrastructure Networks Support of Multipath
  Routing

abstract:
  An infrastructure network is a self-organizing network with help of Access
Point (AP) of wireless links connecting nodes to another. The nodes can
communicate without an ad hoc. They form an uninformed topology (BSS/ESS),
where the nodes play the role of routers and are free to move randomly.
Infrastructure networks proved their efficiency being used in different fields
but they are highly vulnerable to security attacks and dealing with this is one
of the main challenges of these networks at present. In recent times some
clarification are proposed to provide authentication, confidentiality,
availability, secure routing and intrusion avoidance in infrastructure
networks. Implementing security in such dynamically changing networks is a hard
task. Infrastructure network characteristics should be taken into consideration
to be clever to design efficient solutions. Here we spotlight on civilizing the
flow transmission privacy in infrastructure networks based on multipath
routing. Certainly, we take benefit of the being of multiple paths between
nodes in an infrastructure network to increase the confidentiality robustness
of transmitted data with the help of Access Point. In our approach the original
message to secure is split into shares through access point that are encrypted
and combined then transmitted along different disjointed existing paths between
sender and receiver. Even if an intruder achieve something to get one or more
transmitted distribute the likelihood that the unique message will be
reconstituted is very squat.


title:
The Fermi Bubbles: Gamma-ray, Microwave, and Polarization Signatures of
  Leptonic AGN Jets

abstract:
  The origin of the Fermi bubbles and the microwave haze is yet to be
determined. To disentangle different models requires detailed comparisons
between theoretical predictions and multi-wavelength observations. Our previous
simulations have demonstrated that the primary features of the Fermi bubbles
could be successfully reproduced by recent jet activity from the central active
galactic nucleus (AGN). In this work, we generate gamma-ray and microwave maps
and spectra based on the simulated properties of cosmic rays (CRs) and magnetic
fields in order to examine whether the observed bubble and haze emission could
be explained by leptons contained in the AGN jets. We also investigate the
model predictions of the polarization properties of the Fermi bubbles. We find
that: (1) The same population of leptons can simultaneously explain the bubble
and haze emission given that the magnetic fields within the bubbles are very
close to the exponentially distributed ambient field, which can be explained by
mixing in of the ambient field followed by turbulent field amplification; (2)
The centrally peaked microwave profile suggests CR replenishment, which is
consistent with the presence of a more recent second jet event; (3) The bubble
interior exhibits a high degree of polarization because of ordered radial
magnetic field lines stretched by elongated vortices behind the shocks;
highly-polarized signals could also be observed inside the draping layer; (4)
Enhancement of rotation measures could exist within the shock-compressed layer
because of increased gas density and more amplified and ordered magnetic
fields. We discuss the possibility that the deficient haze emission at b<-35
degrees is due to the suppression of magnetic fields, which is consistent with
the existence of lower-energy CRs causing the polarized emission at 2.3 GHz.
Possible AGN jet composition in the leptonic scenario is also discussed.


title: A Dichotomy in Satellite Quenching Around L* Galaxies

abstract:
  We examine the star formation properties of bright (~0.1 L*) satellites
around isolated ~L* hosts in the local Universe using spectroscopically
confirmed systems in the Sloan Digital Sky Survey DR7. Our selection method is
carefully designed with the aid of N-body simulations to avoid groups and
clusters. We find that satellites are significantly more likely to be quenched
than a stellar mass-matched sample of isolated galaxies. Remarkably, this
quenching occurs only for satellites of hosts that are themselves quenched:
while star formation is unaffected in the satellites of star-forming hosts,
satellites around quiescent hosts are more than twice as likely to be quenched
than stellar-mass matched field samples. One implication of this is that
whatever shuts down star formation in isolated, passive L* galaxies also plays
at least an indirect role in quenching star formation in their bright
satellites. The previously-reported tendency for "galactic conformity" in
color/morphology may be a by-product of this host-specific quenching dichotomy.
The S\'ersic indices of quenched satellites are statistically identical to
those of field galaxies with the same specific star formation rates, suggesting
that environmental and secular quenching give rise to the same morphological
structure. By studying the distribution of pairwise velocities between the
hosts and satellites, we find dynamical evidence that passive host galaxies
reside in dark matter halos that are ~45% more massive than those of
star-forming host galaxies of the same stellar mass. We emphasize that even
around passive hosts, the mere fact that galaxies become satellites does not
typically result in star formation quenching: we find that only ~30% of ~0.1 L*
galaxies that fall in from the field are quenched around passive hosts,
compared with ~0% around star forming hosts.


title: Dirac neutrinos from flavor symmetry

abstract:
  We present a model where Majorana neutrino mass terms are forbidden by the
flavor symmetry group Delta(27). Neutrinos are Dirac fermions and their masses
arise in the same way as that of the charged fermions, due to very small Yukawa
couplings. The model fits current neutrino oscillation data and correlates the
octant of the atmospheric angle with the magnitude of the lightest neutrino
mass, with maximal mixing excluded for any neutrino mass


title: Shattering Flares During Close Encounters of Neutron Stars

abstract:
  We demonstrate that resonant shattering flares can occur during close
passages of neutron stars in eccentric or hyperbolic encounters. We provide
updated estimates for the rate of close encounters of compact objects in dense
stellar environments, which we find are substantially lower than given in
previous works. While such occurrences are rare, we show that shattering flares
can provide a strong electromagnetic counterpart to the gravitational wave
bursts expected from such encounters, allowing triggered searches for these
events to occur.


title: SN 2000cx and SN 2013bh: Extremely Rare, Nearly Twin Type Ia Supernovae

abstract:
  The Type Ia supernova (SN Ia) SN 2000cx was one of the most peculiar
transients ever discovered, with a rise to maximum brightness typical of a SN
Ia, but a slower decline and a higher photospheric temperature. Thirteen years
later SN 2013bh (aka iPTF13abc), a near identical twin, was discovered and we
obtained optical and near-IR photometry and low-resolution optical spectroscopy
from discovery until about 1 month past r-band maximum brightness. The spectra
of both objects show iron-group elements (Co II, Ni II, Fe II, Fe III, and
high-velocity features [HVFs] of Ti II), intermediate-mass elements (Si II, Si
III, and S II), and separate normal velocity features (~12000 km/s) and HVFs
(~24000 km/s) of Ca II. Persistent absorption from Fe III and Si III, along
with the colour evolution, imply high blackbody temperatures for SNe 2013bh and
2000cx (~12000 K). Both objects lack narrow Na I D absorption and exploded in
the outskirts of their hosts, indicating that the SN environments were
relatively free of interstellar or circumstellar material and may imply that
the progenitors came from a relatively old and low-metallicity stellar
population. Models of SN 2000cx, seemingly applicable to SN 2013bh, imply the
production of up to ~1 M_Sun of Ni-56 and (4.3-5.5)e-3 M_Sun of fast-moving Ca
ejecta.


title:
Herschel reveals the obscured star formation in HiZELS H\alpha\ emitters
  at z=1.47

abstract:
  We describe the far-infrared (FIR; rest-frame 8--1000\mu m) properties of a
sample of 443 H\alpha-selected star-forming galaxies in the COSMOS and UDS
fields detected by the HiZELS imaging survey. Sources are identified using
narrow-band filters in combination with broad-band photometry to uniformly
select H\alpha\ (and [OII] if available) emitters in a narrow redshift slice at
z = 1.47+/-0.02. We use a stacking approach in Spitzer, Herschel (from PEP and
HerMES surveys) and AzTEC images to describe their typical FIR properties. We
find that HiZELS galaxies with observed H\alpha\ luminosities of ~ 10^{8.1-9.1}
Lo have bolometric FIR luminosities of typical LIRGs, L_FIR ~ 10^{11.48+/-0.05}
Lo. Combining the H\alpha\ and FIR luminosities, we derive median SFR = 32+/-5
Mo/yr and H\alpha\ extinctions of A(H\alpha) = 1.0+/-0.2 mag. Perhaps
surprisingly, little difference is seen in typical HiZELS extinction levels
compared to local star-forming galaxies. We confirm previous empirical stellar
mass (M*) to A(H\alpha) relations and the little or no evolution up to z =
1.47. For HiZELS galaxies, we provide an empirical parametrisation of the SFR
as a function of (u-z)_rest colours and 3.6\mu m photometry. We find that the
observed H\alpha\ luminosity is a dominant SFR tracer when (u-z)_rest ~< 0.9
mag or when 3.6\mu m photometry > 22 mag (Vega) or when M* < 10^9.7 Mo. We do
not find any correlation between the [OII]/H\alpha\ and FIR luminosity,
suggesting that this emission line ratio does not trace the extinction of the
most obscured star-forming regions. The luminosity-limited HiZELS sample tends
to lie above of the so-called `main sequence' for star-forming galaxies,
especially at low M*. This work suggests that obscured star formation is linked
to the assembly of M*, with deeper potential wells in massive galaxies
providing dense, heavily obscured environments in which stars can form rapidly.


title:
Multiple scattering effects on inclusive particle production in the
  large-x regime

abstract:
  We study the multiple scattering effects on inclusive particle production in
p+A and $\gamma$+A collisions. Specifically, we concentrate on the region where
the parton momentum fraction in the nucleus $x\sim {\cal O}(1)$ and incoherent
multiple interactions are relevant. By taking into account both initial-state
and final-state double scattering, we derive the nuclear size-enhanced power
corrections to the differential cross section for single inclusive hadron
production in p+A and $\gamma$+A reactions, and for prompt photon production in
p+A reactions. We find that the final result can be written in a simple compact
form in terms of four-parton correlation functions, in which the
second-derivative, first-derivative and non-derivative terms of the correlation
distributions share the same hard-scattering functions. We expect our result to
be especially relevant for understanding the nuclear modification of particle
production in the backward rapidity regions in p+A and e+A collisions.


title: CARMA observations of protostellar outflows in NGC 1333

abstract:
  We present observations of outflows in the star-forming region NGC 1333 using
the Combined Array for Research in Millimeter-Wave Astronomy (CARMA). We
combined the 12CO and 13CO (1-0) CARMA mosaics with data from the 14-m Five
College Radio Astronomy Observatory (FCRAO) to probe the central, most dense
and active region of this protostellar cluster at scales from 5'' to 7' (or
1000 AU to 0.5 pc at a distance of 235 pc). We map and identify 12CO outflows,
and along with 13CO data we estimate their mass, momentum and energy. Within
the 7'x7' map, the 5'' resolution allows for a detailed study of morphology and
kinematics of outflows and outflow candidates, some of which were previously
confused with other outflow emission in the region. In total, we identify 22
outflow lobes, as well as 9 dense circumstellar envelopes marked by continuum
emission, of which 6 drive outflows. We calculate a total outflow mass,
momentum and energy within the mapped region of 6 Msun, 19 Msun km/s, and
7x10^44 erg, respectively. Within this same region, we compare outflow
kinematics with turbulence and gravitational energy, and we suggest that
outflows are likely important agents for the maintenance of turbulence in this
region. In the earliest stages of star formation, outflows do not yet
contribute enough energy to totally disrupt the clustered region where most
star formation is happening, but have the potential to do so as the
protostellar sources evolve. Our results can be used to constrain outflow
properties, such as outflow strength, in numerical simulations of
outflow-driven turbulence in clusters.


title: Charting an Inflationary Landscape with Random Matrix Theory

abstract:
  We construct a class of random potentials for N >> 1 scalar fields using
non-equilibrium random matrix theory, and then characterize multifield
inflation in this setting. By stipulating that the Hessian matrices in adjacent
coordinate patches are related by Dyson Brownian motion, we define the
potential in the vicinity of a trajectory. This method remains computationally
efficient at large N, permitting us to study much larger systems than has been
possible with other constructions. We illustrate the utility of our approach
with a numerical study of inflation in systems with up to 100 coupled scalar
fields. A significant finding is that eigenvalue repulsion sharply reduces the
duration of inflation near a critical point of the potential: even if the
curvature of the potential is fine-tuned to be small at the critical point,
small cross-couplings in the Hessian cause the curvature to grow in the
neighborhood of the critical point.


title: Resolving The Moth at Millimeter Wavelengths

abstract:
  HD 61005, also known as "The Moth," is one of only a handful of debris disks
that exhibit swept-back "wings" thought to be caused by interaction with the
ambient interstellar medium (ISM). We present 1.3 mm Submillimeter Array (SMA)
observations of the debris disk around HD 61005 at a spatial resolution of 1.9
arcsec that resolve the emission from large grains for the first time. The disk
exhibits a double-peaked morphology at millimeter wavelengths, consistent with
an optically thin ring viewed close to edge-on. To investigate the disk
structure and the properties of the dust grains we simultaneously model the
spatially resolved 1.3 mm visibilities and the unresolved spectral energy
distribution. The temperatures indicated by the SED are consistent with
expected temperatures for grains close to the blowout size located at radii
commensurate with the millimeter and scattered light data. We also perform a
visibility-domain analysis of the spatial distribution of millimeter-wavelength
flux, incorporating constraints on the disk geometry from scattered light
imaging, and find suggestive evidence of wavelength-dependent structure. The
millimeter-wavelength emission apparently originates predominantly from the
thin ring component rather than tracing the "wings" observed in scattered
light. The implied segregation of large dust grains in the ring is consistent
with an ISM-driven origin for the scattered light wings.


title: Phenomenology of Dirac Neutralino Dark Matter

abstract:
  In supersymmetric models with an unbroken R-symmetry (rather than only
R-parity), the neutralinos are Dirac fermions rather than Majorana. In this
article, we discuss the phenomenology of neutralino dark matter in such models,
including the calculation of the thermal relic abundance, and constraints and
prospects for direct and indirect searches. Due to the large elastic scattering
cross sections with nuclei predicted in R-symmetric models, we are forced to
consider a neutralino that is predominantly bino, with very little higgsino
mixing. We find a large region of parameter space in which bino-like Dirac
neutralinos with masses between 10 and 380 GeV can annihilate through slepton
exchange to provide a thermal relic abundance in agreement with the observed
cosmological density, without relying on coannihilations or resonant
annihilations. The signatures for the indirect detection of Dirac neutralinos
are very different than predicted in the Majorana case, with annihilations
proceeding dominately to $\tau^+ \tau^-$, $\mu^+ \mu^-$ and $e^+ e^-$ final
states, without the standard chirality suppression. And unlike Majorana dark
matter candidates, Dirac neutralinos experience spin-independent scattering
with nuclei through vector couplings (via $Z$ and squark exchange), leading to
potentially large rates at direct detection experiments. These and other
characteristics make Dirac neutralinos potentially interesting within the
context of recent direct and indirect detection anomalies. We also discuss the
case in which the introduction of a small Majorana mass term breaks the
$R$-symmetry, splitting the Dirac neutralino into a pair of nearly degenerate
Majorana states.


title:
Investigating the effect of precession on searches for
  neutron-star-black-hole binaries with Advanced LIGO

abstract:
  The first direct detection of neutron-star-black-hole binaries will likely be
made with gravitational-wave observatories. Advanced LIGO and Advanced Virgo
will be able to observe neutron-star-black-hole mergers at a maximum distance
of 900Mpc. To acheive this sensitivity, gravitational-wave searches will rely
on using a bank of filter waveforms that accurately model the expected
gravitational-wave signal. The angular momentum of the black hole is expected
to be comparable to the orbital angular momentum. This angular momentum will
affect the dynamics of the inspiralling system and alter the phase evolution of
the emitted gravitational-wave signal. In addition, if the black hole's angular
momentum is not aligned with the orbital angular momentum it will cause the
orbital plane of the system to precess. In this work we demonstrate that if the
effect of the black hole's angular momentum is neglected in the waveform models
used in gravitational-wave searches, the detection rate of $(10+1.4)M_{\odot}$
neutron-star--black-hole systems would be reduced by $33 - 37%$. The error in
this measurement is due to uncertainty in the Post-Newtonian approximations
that are used to model the gravitational-wave signal of neutron-star-black-hole
inspiralling binaries. We describe a new method for creating a bank of filter
waveforms where the black hole has non-zero angular momentum, but is aligned
with the orbital angular momentum. With this bank we find that the detection
rate of $(10+1.4)M_{\odot}$ neutron-star-black-hole systems would be reduced by
$26-33%$. Systems that will not be detected are ones where the precession of
the orbital plane causes the gravitational-wave signal to match poorly with
non-precessing filter waveforms. We identify the regions of parameter space
where such systems occur and suggest methods for searching for highly
precessing neutron-star-black-hole binaries.


title:
Locomotion of helical bodies in viscoelastic fluids: enhanced swimming
  at large helical amplitudes

abstract:
  The motion of a rotating helical body in a viscoelastic fluid is considered.
In the case of force-free swimming, the introduction of viscoelasticity can
either enhance or retard the swimming speed and locomotive efficiency,
depending on the body geometry, fluid properties, and the body rotation rate.
Numerical solutions of the Oldroyd-B equations show how previous theoretical
predictions break down with increasing helical radius or with decreasing
filament thickness. Helices of large pitch angle show an increase in swimming
speed to a local maximum at a Deborah number of order unity. The numerical
results show how the small-amplitude theoretical calculations connect smoothly
to the large-amplitude experimental measurements.


title:
High-Energy Tail of the Velocity Distribution of Driven Inelastic
  Maxwell Gases

abstract:
  A model of homogeneously driven dissipative system, consisting of a
collection of $N$ particles that are characterized by only their velocities, is
considered. Adopting a discrete time dynamics, at each time step, a pair of
velocities is randomly selected. They undergo inelastic collision with
probability $p$. With probability $(1-p)$, energy of the system is changed by
changing the velocities of both the particles independently according to
$v\rightarrow -r_w v +\eta$, where $\eta$ is a Gaussian noise drawn
independently for each particle as well as at each time steps. For the case
$r_w=- 1$, although the energy of the system seems to saturate (indicating a
steady state) after time steps of $O(N)$, it grows linearly with time after
time steps of $O(N^2)$, indicating the absence of a eventual steady state. For
$ -1 <r_w \leq 1$, the system reaches a steady state, where the average energy
per particle and the correlation of velocities are obtained exactly. In the
thermodynamic limit of large $N$, an exact equation is obtained for the moment
generating function. In the limit of nearly elastic collisions and weak energy
injection, the velocity distribution is shown to be a Gaussian. Otherwise, for
$|r_w| < 1$, the high-energy tail of the velocity distribution is Gaussian,
with a different variance, while for $r_w=+1$ the velocity distribution has an
exponential tail.


title:
Self-Assembly of Semiconducting Single-Walled Carbon Nanotubes into
  Dense, Aligned Rafts

abstract:
  Single-walled carbon nanotubes are promising nanoelectronic materials but
face long-standing challenges including production of pure semiconducting SWNTs
and integration into ordered structures. Here, highly pure semiconducting
single-walled carbon nanotubes are separated from bulk materials and
self-assembled into densely aligned rafts driven by depletion attraction
forces. Microscopy and spectroscopy revealed a high degree of alignment and a
high packing density of ~100 tubes/micron within SWNT rafts. Field-effect
transistors made from aligned SWNT rafts afforded short channel (~150 nm long)
devices comprised of tens of purely semiconducting SWNTs derived from chemical
separation within a < 1 micron channel width, achieving unprecedented high
on-currents (up to ~120 microamperes per device) with high on/off ratios. The
average on-current was ~ 3-4 microamperes per tube. The results demonstrated
densely aligned high quality semiconducting SWNTs for integration into high
performance nanoelectronics.


title: Tackling light higgsinos at the ILC

abstract:
  In supersymmetric extensions of the Standard Model, higgsino-like charginos
and neutralinos are preferred to have masses of the order of the electroweak
scale by naturalness arguments. Such light $\widetilde{\chi}^0_1$,
$\widetilde{\chi}^0_2$ and $\widetilde{\chi}^{\pm}_1$ states can be almost mass
degenerate, and their decays are then difficult to observe at colliders. In
addition to the generic naturalness argument, light higgsinos are well
motivated from a top-down perspective. For instance, they arise naturally in
certain models of hybrid gauge-gravity mediation. In the present analysis, we
study two benchmark points which have been derived in the framework of such a
model, which exhibit mass differences of O(GeV) in the higgsino sector. For
chargino pair and neutralino associated production with initial-state photon
radiation, we simulate the detector response and determine how accurately the
small mass differences, the absolute masses and the cross sections can be
measured at the International Linear Collider. Assuming that 500/fb has been
collected at each of two beam-polarisations $P(e^+,e^-)=(\pm 30\%,\mp 80\%)$,
we find that the mass differences can be measured to 40-300 MeV, the cross
sections to 2-5%, and the absolute masses to 1.5-3.3 GeV, where the range of
values correspond to the different scenarios and channels. Based on these
observables we perform a parameter fit in the MSSM, from which we infer that
the higgsino mass parameter $\mu$ can be measured to a precision of about
$\Delta\mu=$2--7 GeV. For the electroweak gaugino mass parameters $M_1$, $M_2$,
which are chosen in the multi-TeV range, a narrow region is compatible with the
measurements. For both parameters independently, we can determine a lower
bound.


title: Hopf algebras having a dense big cell

abstract:
  We discuss some axioms that ensure that a Hopf algebra has its simple
comodules classified using an analogue of the Borel-Weil construction. More
precisely we show that a Hopf algebra having a dense big cell satisfies the
above requirement. This method has its roots in the work of Parshall and Wang
in the case of q-deformed quantum groups GL and SL. Here we examine the example
of universal cosovereign Hopf algebras, for which the weight group is the free
group on two generators.


title:
Optimal control under spectral constraints: Enforcing multi-photon
  absorption pathways

abstract:
  Shaped pulses obtained by optimal control theory often possess unphysically
broad spectra. In principle, the spectral width of a pulse can be restricted by
an additional constraint in the optimization functional. However, it has so far
been impossible to impose spectral constraints while strictly guaranteeing
monotonic convergence. Here, we show that Krotov's method allows for
simultaneously imposing temporal and spectral constraints without perturbing
monotonic convergence, provided the constraints can be expressed as positive
semi-definite quadratic forms. The optimized field is given by an integral
equation which can be solved efficiently using the method of degenerate
kernels. We demonstrate that Gaussian filters suppress undesired frequency
components in the control of non-resonant two-photon absorption.


title:
Counter-propagating edge modes and topological phases of a kicked
  quantum Hall system

abstract:
  A periodically driven quantum Hall system in a fixed magnetic field is found
to exhibit a series of phases featuring anomalous edge modes with the "wrong"
chirality. This leads to pairs of counter-propagating chiral edge modes at each
edge, in sharp contrast to stationary quantum Hall systems. We show that the
pair of Floquet edge modes are protected by the chiral (sublattice) symmetry,
and that they are robust against static disorder. The existence of distinctive
phases with the same Chern and winding numbers but very different edge state
spectra points to the important role played by symmetry in classifying
topological properties of driven systems. We further explore the evolution of
the edge states with driving using a simplified model, and discuss their
experimental signatures.


title:
Multi-height Scattering Phase Shifts From Sunspots And Phase Differences
  Between Photospheric Heights With SDO/HMI and AIA Data

abstract:
  Following Couvidat (2013), we analyze data from the Helioseismic and Magnetic
Imager (HMI) and the Atmospheric Imaging Assembly (AIA) instruments onboard the
Solar Dynamics Observatory: Doppler velocity and continuum intensity at 6173 A
as well as intensity maps at 1600 A and 1700 A. Datasets of 14 active regions
and four quiet-Sun regions are studied at four heights in the solar
photosphere. An Hankel-Fourier analysis is performed around these regions of
interest. Outgoing-ingoing scattering phase shifts at a given atmospheric
height are computed, as well as ingoing-ingoing and outgoing-outgoing phase
differences between two atmospheric heights. The outgoing-ingoing phase shifts
produced by sunspots show little dependence on measurement height, unlike the
acoustic power reduction measured in Couvidat (2013). Phenomena happening above
continuum level, like acoustic glories, appear not to have a significant effect
on the phases. However there is a strong dependence on sunspot size,
line-of-sight magnetic flux, and intensity contrast. As previously suggested by
other groups, the region of wave scattering appears both horizontally smaller
and vertically less extended than the region of acoustic power suppression, and
occurs closer to the surface. Results presented here should help refine
theoretical models of acoustic wave scattering by magnetic fields.
Ingoing-ingoing phase differences between two measurement heights are also
computed and show a complex pattern highly dependent on atmospheric height. In
particular, a significant sensitivity of AIA signals to lower chromospheric
layers is shown. Finally, ingoing-ingoing minus outgoing-outgoing phase
differences between various measurement heights are discussed.


title:
The electron-phonon interaction from fundamental local gauge symmetries
  in solids

abstract:
  The elastic properties of solids are described in close analogy with General
Relativity, by locally gauging the translational group of space-time. Electron
interactions with the crystal lattice are thus generated by enforcing full
gauge invariance, with the introduction of a gauge field. Elementary
excitations are associated with the local gauge, contrasting to the usual
interpretation as being Goldstone bosons emerging from global symmetry
breaking. In the linear limit of the theory, the gauge field displays elastic
waves, that we identify with acoustic phonons, when the field is quantized.
Coupling with the electronic part of the system yields the standard
electron-phonon interaction. If spin-orbit effects are included, unusual
couplings emerge between the strain field and the electronic spin current,
leading to novel physics that may be relevant for spintronic applications.


title:
Electroweak Measurements of Neutron Densities in CREX and PREX at JLab,
  USA

abstract:
  Measurement of the parity-violating electron scattering asymmetry is an
established technique at Jefferson Lab and provides a new opportunity to
measure the weak charge distribution and hence pin down the neutron radius in
nuclei in a relatively clean and model-independent way. This is because the Z
boson of the weak interaction couples primarily to neutrons. We will describe
the PREX and CREX experiments on ${}^{208}$Pb and ${}^{48}$Ca respectively;
these are both doubly-magic nuclei whose first excited state can be
discriminated by the high resolution spectrometers at JLab. The heavier lead
nucleus, with a neutron excess, provides an interpretation of the neutron skin
thickness in terms of properties of bulk neutron matter. For the lighter
${}^{48}$Ca nucleus, which is also rich in neutrons, microscopic nuclear theory
calculations are feasible and are sensitive to poorly constrained 3-neutron
forces.


title:
Adaptive Keywords Extraction with Contextual Bandits for Advertising on
  Parked Domains

abstract:
  Domain name registrars and URL shortener service providers place
advertisements on the parked domains (Internet domain names which are not in
service) in order to generate profits. As the web contents have been removed,
it is critical to make sure the displayed ads are directly related to the
intents of the visitors who have been directed to the parked domains. Because
of the missing contents in these domains, it is non-trivial to generate the
keywords to describe the previous contents and therefore the users intents. In
this paper we discuss the adaptive keywords extraction problem and introduce an
algorithm based on the BM25F term weighting and linear multi-armed bandits. We
built a prototype over a production domain registration system and evaluated it
using crowdsourcing in multiple iterations. The prototype is compared with
other popular methods and is shown to be more effective.


title: Range-compatible homomorphisms on matrix spaces

abstract:
  Let K be a (commutative) field, and U and V be finite-dimensional vector
spaces over K. Let S be a linear subspace of the space L(U,V) of all linear
operators from U to V. A map F from S to V is called range-compatible when F(s)
belongs to the range of s for all s in S. Obvious examples of such maps are the
evaluation maps s -> s(x), with x in U.
  In this article, we classify all the range-compatible group homomorphisms on
S provided that the codimension of S in L(U,V) is less than or equal to 2
dim(V)-3, unless this codimension equals 2 dim(V)-3 and K has only two
elements. Under those assumptions, it is shown that the linear range-compatible
maps are the evaluation maps, and the above upper-bound on the codimension of S
is optimal for this result to hold.
  As an application, we obtain new sufficient conditions for the algebraic
reflexivity of an operator space and, with the above conditions on the
codimension of S, we give an explicit description of the range-restricting and
range-preserving homomorphisms on S.


title: Propagation in quantum walks and relativistic diffusions

abstract:
  Propagation in quantum walks is revisited by showing that very general 1D
discrete-time quantum walks with time- and space-dependent coefficients can be
described, at the continuous limit, by Dirac fermions coupled to
electromagnetic fields. Short-time propagation is also established for
relativistic diffusions by presenting new numerical simulations of the
Relativistic Ornstein-Uhlenbeck Process. A geometrical generalization of Fick's
law is also obtained for this process. The results suggest that relativistic
diffusions may be realistic models of decohering or random quantum walks. Links
with general relativity and geometrical flows are also mentioned.


title: Artificially engineered superlattices of pnictide superconductor

abstract:
  Significant progress has been achieved in fabricating high quality bulk and
thinfilm iron-based superconductors. In particular, artificial layered pnictide
superlattices offer the possibility of tailoring the superconducting properties
and understanding the mechanism of the superconductivity itself. For high field
applications, large critical current densities (Jc) and irreversibility fields
(Hirr) are indispensable along all crystal directions. On the other hand, the
development of superconducting devices such as tunnel junctions requires
multilayered heterostructures. Here we show that artificially engineered
undoped Ba-122 / Co doped Ba-122 compositionally modulated superlattices
produce ab-aligned nanoparticle arrays. These layer and self-assemble along
c-axis aligned defects, and combine to produce very large Jc and Hirr
enhancements over a wide angular range. We also demonstrate a structurally
modulated SrTiO3 (STO) / Co doped Ba-122 superlattice with sharp interfaces.
Success in superlattice fabrication involving pnictides will aid the progress
of heterostructured systems exhibiting novel interfacial phenomena and device
applications.


title: Sussing Merger Trees: The Merger Trees Comparison Project

abstract:
  Merger trees follow the growth and merger of dark-matter haloes over cosmic
history. As well as giving important insights into the growth of cosmic
structure in their own right, they provide an essential backbone to
semi-analytic models of galaxy formation. This paper is the first in a series
to arise from the SUSSING MERGER TREES Workshop in which ten different
tree-building algorithms were applied to the same set of halo catalogues and
their results compared. Although many of these codes were similar in nature,
all algorithms produced distinct results. Our main conclusions are that a
useful merger-tree code should possess the following features: (i) the use of
particle IDs to match haloes between snapshots; (ii) the ability to skip at
least one, and preferably more, snapshots in order to recover subhaloes that
are temporarily lost during merging; (iii) the ability to cope with (and
ideally smooth out) large, temporary flucuations in halo mass. Finally, to
enable different groups to communicate effectively, we defined a common
terminology that we used when discussing merger trees and we encourage others
to adopt the same language. We also specified a minimal output format to record
the results.


title: Pathwise integrals and Ito-Tanaka Formula for Gaussian processes

abstract:
  We prove the Ito-Tanaka formula and the existence of pathwise stochastic
integrals for a wide class of Gaussian processes. Motivated by financial
applications, we define the stochastic integrals as forward-type pathwise
integrals introduced by F\"ollmer and as pathwise generalized
Lebesgue-Stieltjes integrals introduced by Z\"ahle. As an application, we
illustrate the importance of Ito-Tanaka formula for pricing and hedging of
financial derivatives.


title: Geometric classical and total correlations via trace distance

abstract:
  We introduce the concepts of geometric classical and total correlations
through Schatten 1-norm (trace norm), which is the only Schatten p-norm able to
ensure a well-defined geometric measure of correlations. In particular, we
derive the analytical expressions for the case of two-qubit Bell-diagonal
states, discussing the superadditivity of geometric correlations. As an
illustration, we compare our results with the entropic correlations, discussing
both their hierarchy and monotonicity properties. Moreover, we apply the
geometric correlations to investigate the ground state of spin chains in the
thermodynamic limit. In contrast to the entropic quantifiers, we show that the
classical correlation is the only source of 1-norm geometric correlation that
is able to signaling an infinite-order quantum phase transition.


title: Characteristic functions of measures on geometric rough paths

abstract:
  We define a characteristic function for probability measures on the
signatures of geometric rough paths. We determine sufficient conditions under
which a random variable is uniquely determined by its expected signature, thus
partially solving the analogue of the moment problem. We furthermore study
analyticity properties of the characteristic function and prove a method of
moments for weak convergence of random variables. We apply our results to
signature arising from L\'evy, Gaussian and Markovian rough paths.


title:
Image color transfer to evoke different emotions based on color
  combinations

abstract:
  In this paper, a color transfer framework to evoke different emotions for
images based on color combinations is proposed. The purpose of this color
transfer is to change the "look and feel" of images, i.e., evoking different
emotions. Colors are confirmed as the most attractive factor in images. In
addition, various studies in both art and science areas have concluded that
other than single color, color combinations are necessary to evoke specific
emotions. Therefore, we propose a novel framework to transfer color of images
based on color combinations, using a predefined color emotion model. The
contribution of this new framework is three-fold. First, users do not need to
provide reference images as used in traditional color transfer algorithms. In
most situations, users may not have enough aesthetic knowledge or path to
choose desired reference images. Second, because of the usage of color
combinations instead of single color for emotions, a new color transfer
algorithm that does not require an image library is proposed. Third, again
because of the usage of color combinations, artifacts that are normally seen in
traditional frameworks using single color are avoided. We present encouraging
results generated from this new framework and its potential in several possible
applications including color transfer of photos and paintings.


title: Random Latin squares and 2-dimensional expanders

abstract:
  Let X be a 2-dimensional simplicial complex. The degree of an edge e is the
number of 2-faces of X containing e. The complex X is an \epsilon-expander if
the coboundary d_1(\phi) of every Z_2-valued 1-cochain \phi \in C^1(X;Z_2)
satisfies |support(d_1(\phi))| \geq \epsilon |\supp(\phi+d_0(\psi))| for some
0-cochain \psi. Using a new model of random 2-complexes we show the existence
of an infinite family of 2-dimensional \epsilon-expanders with maximum edge
degree d, for some fixed \epsilon>0 and d.


title: Slowdown in branching Brownian motion with inhomogeneous variance

abstract:
  We consider a model of Branching Brownian Motion with time-inhomogeneous
variance of the form \sigma(t/T), where \sigma is a strictly decreasing
function. Fang and Zeitouni (2012) showed that the maximal particle's position
M_T is such that M_T-v_\sigma T is negative of order T^{-1/3}, where v_\sigma
is the integral of the function \sigma over the interval [0,1]. In this paper,
we refine we refine this result and show the existence of a function m_T, such
that M_T-m_T converges in law, as T\to\infty. Furthermore, m_T=v_\sigma T -
w_\sigma T^{1/3} - \sigma(1)\log T + O(1) with w_\sigma = 2^{-1/3}\alpha_1
\int_0^1 \sigma(s)^{1/3} |\sigma'(s)|^{2/3}\,\dd s. Here, -\alpha_1=-2.33811...
is the largest zero of the Airy function. The proof uses a mixture of
probabilistic and analytic arguments.


title:
Galactic Faraday rotation effect on polarization of 21 cm lines from the
  epoch of reionization

abstract:
  Redshifted 21 cm signal from neutral hydrogen is one of the most competitive
probes of the epoch of reionization (EoR). Unpolarized 21 cm radiation acquires
a certain level of linear polarization during the EoR due to Thompson
scattering. This linear polarization, if measured, could probe important
information about the EoR. We study the effect of Galactic Faraday rotation
(FR) in the detection of polarization of 21 cm radiation. Since the effect of
FR is strong due to the large wavelength nature of redshifted 21 cm signal, the
initial E-mode signal carried by 21 cm photons is modified in its entirety. We
show that a 99 % accuracy on rotation measure (RM) data is necessary to recover
the initial E-mode signal. We conclude that, given the current status of RM
observations, it is not possible to retrieve the initial polarization signal of
21 cm from the EoR. However, we are optimistic that it may be possible from the
next generation radio surveys.


title: Improving MUC extraction thanks to local search

abstract:
  ExtractingMUCs(MinimalUnsatisfiableCores)fromanunsatisfiable constraint
network is a useful process when causes of unsatisfiability must be understood
so that the network can be re-engineered and relaxed to become sat- isfiable.
Despite bad worst-case computational complexity results, various MUC- finding
approaches that appear tractable for many real-life instances have been
proposed. Many of them are based on the successive identification of so-called
transition constraints. In this respect, we show how local search can be used
to possibly extract additional transition constraints at each main iteration
step. The approach is shown to outperform a technique based on a form of model
rotation imported from the SAT-related technology and that also exhibits
additional transi- tion constraints. Our extensive computational
experimentations show that this en- hancement also boosts the performance of
state-of-the-art DC(WCORE)-like MUC extractors.


title: Exchangeable Equilibria, Part I: Symmetric Bimatrix Games

abstract:
  We introduce the notion of exchangeable equilibria of a symmetric bimatrix
game, defined as those correlated equilibria in which players' strategy choices
are conditionally independently and identically distributed given some hidden
variable. We give several game-theoretic interpretations and a version of the
"revelation principle". Geometrically, the set of exchangeable equilibria is
convex and lies between the symmetric Nash equilibria and the symmetric
correlated equilibria. Exchangeable equilibria can achieve higher expected
utility than symmetric Nash equilibria.


title: Mixed cobinary trees

abstract:
  We develop basic cluster theory from an elementary point of view using a
variation of binary trees which we call mixed cobinary trees. We show that the
number of isomorphism classes of such trees is given by the Catalan number Cn
where n is the number of internal nodes. We also consider the corresponding
quiver Q_{\epsilon} of type An-1. As a special case of more general known
results about the relation between c-vectors, representations of quivers and
their semi-invariants, we explain the bijection between mixed cobinary trees
and the vertices of the generalized associahedron corresponding to the quiver
Q_{\epsilon}.


title: Long-Lived Waveguides and Sound Wave Generation by Laser Filamentation

abstract:
  We discover long-lived (microsecond-scale) optical waveguiding in the wake of
atmospheric laser filaments. We also observe the formation and then outward
propagation of the consequent sound wave. These effects may be used for remote
induction of atmospheric long-lived optical structures from afar which could
serve for a variety of applications.


title:
Vortices, Maximum Growth and the Problem of Finite-Time Singularity
  Formation

abstract:
  In this work we are interested in extreme vortex states leading to the
maximum possible growth of palinstrophy in 2D viscous incompressible flows on
periodic domains. This study is a part of a broader research effort motivated
by the question about the finite-time singularity formation in the 3D
Navier-Stokes system and aims at a systematic identification of the most
singular flow behaviors. We extend the results reported in Ayala & Protas
(2013) where extreme vortex states were found leading to the growth of
palinstrophy, both instantaneously and in finite-time, which saturates the
estimates obtained with rigorous methods of mathematical analysis. Here we
uncover the vortex dynamics mechanisms responsible for such extreme behavior in
time-dependent 2D flows. While the maximum palinstrophy growth is achieved at
short times, the corresponding long-time evolution is characterized by some
nontrivial features, such as vortex scattering events.


title:
A combinatorial proof of the Kronecker--Weber Theorem in positive
  characteristic

abstract:
  In this paper we present a combinatorial proof of the Kronecker--Weber
Theorem for global fields of positive characteristic. The main tools are the
use of Witt vectors and their arithmetic developed by H. L. Schmid. The key
result is to obtain, using counting arguments, how many $p$--cyclic extensions
exist of fixed degree and bounded conductor where only one prime ramifies are
there. We then compare this number with the number of subextensions of
cyclotomic function fields of the same type and verify that these two numbers
are the same.


title: High-Fidelity Coding with Correlated Neurons

abstract:
  Positive correlations in the activity of neurons are widely observed in the
brain. Previous studies have shown these correlations to be detrimental to the
fidelity of population codes or at best marginally favorable compared to
independent codes. Here, we show that positive correlations can enhance coding
performance by astronomical factors. Specifically, the probability of
discrimination error can be suppressed by many orders of magnitude. Likewise,
the number of stimuli encoded--the capacity--can be enhanced by similarly large
factors. These effects do not necessitate unrealistic correlation values and
can occur for populations with a few tens of neurons. We further show that both
effects benefit from heterogeneity commonly seen in population activity. Error
suppression and capacity enhancement rest upon a pattern of correlation. In the
limit of perfect coding, this pattern leads to a `lock-in' of response
probabilities that eliminates variability in the subspace relevant for stimulus
discrimination. We discuss the nature of this pattern and suggest experimental
tests to identify it.


title:
Azimuthally Resolved X-Ray Spectroscopy to the Edge of the Perseus
  Cluster

abstract:
  We present the results from extensive, new observations of the Perseus
Cluster of galaxies, obtained as a Suzaku Key Project. The 85 pointings
analyzed span eight azimuthal directions out to 2 degrees = 2.6 Mpc, to and
beyond the virial radius r_200 ~ 1.8 Mpc, offering the most detailed X-ray
observation of the intracluster medium (ICM) at large radii in any cluster to
date. The azimuthally averaged density profile for r>0.4r_200 is relatively
flat, with a best-fit power-law index of 1.69+/-0.13 significantly smaller than
expected from numerical simulations. The entropy profile in the outskirts lies
systematically below the power-law behavior expected from large-scale structure
formation models which include only the heating associated with gravitational
collapse. The pressure profile beyond ~0.6r_200 shows an excess with respect to
the best-fit model describing the SZ measurements for a sample of clusters
observed with Planck. The inconsistency between the expected and measured
density, entropy, and pressure profiles can be explained primarily by an
overestimation of the density due to inhomogeneous gas distribution in the
outskirts; there is no evidence for a bias in the temperature measurements
within the virial radius. We find significant differences in thermodynamic
properties of the ICM at large radii along the different arms. Along the
cluster minor axis, we find a flattening of the entropy profiles outside
~0.6r_200, while along the major axis, the entropy rises all the way to the
outskirts. Correspondingly, the inferred gas clumping factor is typically
larger along the minor than along the major axis.


title:
Quantum lattice gas model of Fermi systems with relativistic energy
  relations

abstract:
  Presented are several example quantum computing representations of quantum
systems with a relativistic energy relation. Basic unitary representations of
free Dirac particles and BCS superconductivity are given. Then, these are
combined into a novel unitary representation of a Fermi condensate superfluid.
The modeling approach employs an operator splitting method that is an
analytically closed-form product decomposition of the unitary evolution
operator, applied in the high-energy limit. This allows the relativistic wave
equations to be cast as unitary finite-difference equations. The split
evolution operators (comprising separate kinetic and interaction energy
evolution terms) serve as quantum lattice gas models useful for efficient
quantum simulation.


title:
Quasiparticle Berry curvature and Chern numbers in spin-orbit coupled
  bosonic Mott insulators

abstract:
  We study the ground-state topology and quasiparticle properties in bosonic
Mott insulators with two- dimensional spin-orbit couplings in cold atomic
optical lattices. We show that the many-body Chern and spin-Chern number can be
expressed as an integral of the quasihole Berry curvatures over the Brillouin
zone. Using a strong-coupling perturbation theory, for an experimentally
feasible spin-orbit coupling, we compute the Berry curvature and the spin Chern
number and find that these quantities can be generated purely by interactions.
We also compute the quasiparticle dispersions, spectral weights, and the
quasimomentum space distribution of particle and spin density, which can be
accessed in cold-atom experiments and used to deduce the Berry curvature and
Chern numbers.


title: Quantum lattice gas model of Dirac particles in 1+1 dimensions

abstract:
  Presented is a quantum computing representation of Dirac particle dynamics.
The approach employs an operator splitting method that is an analytically
closed-form product decomposition of the unitary evolution operator. This
allows the Dirac equation to be cast as a unitary finite-difference equation in
a high-energy limit. The split evolution operator (with separate kinetic and
interaction terms) is useful for efficient quantum simulation. For pedagogical
purposes, here we restrict the treatment to Dirac particle dynamics in 1+1
spacetime dimensions. Independent derivations of the quantum algorithm are
presented and the model's validity is tested in several quantum simulations by
comparing the numerical results against analytical predictions. Using the
relativistic quantum algorithm in the case when mc^2 >> pc, quantum simulations
of a nonrelativistic particle in an external scalar square well and parabolic
potential is presented.


title:
Transformation Electromagnetics Devices Based on Printed-Circuit Tensor
  Impedance Surfaces

abstract:
  A method for designing transformation electromagnetics devices using tensor
impedance surfaces (TISs) is presented. The method is first applied to
idealized tensor impedance boundary conditions (TIBCs), and later to
printed-circuit tensor impedance surfaces (PCTISs). A PCTIS is a practical
realization of a TIBC. It consists of a tensor impedance sheet, which models a
subwavelength patterned metallic cladding, over a grounded dielectric
substrate. The method outlined in this paper allows anisotropic TIBCs and
PCTISs to be designed that support tangential wave vector distributions and
power flow directions specified by a coordinate transformation. As an example,
beamshifting devices are designed, using TIBCs and PCTISs, that allow a surface
wave to be shifted laterally. The designs are verified with a commercial
full-wave electromagnetic solver. This work opens new opportunities for the
design and implementation of anisotropic and inhomogeneous printed-circuit or
graphene based surfaces that can guide or radiate electromagnetic fields.


title: Utility Maximization under Model Uncertainty in Discrete Time

abstract:
  We give a general formulation of the utility maximization problem under
nondominated model uncertainty in discrete time and show that an optimal
portfolio exists for any utility function that is bounded from above. In the
unbounded case, integrability conditions are needed as nonexistence may arise
even if the value function is finite.


title: Fractionally-Supervised Classification

abstract:
  Traditionally, there are three species of classification: unsupervised,
supervised, and semi-supervised. Supervised and semi-supervised classification
differ by whether or not weight is given to unlabelled observations in the
classification procedure. In unsupervised classification, or clustering, all
observations are unlabeled and hence full weight is given to unlabelled
observations. When some observations are unlabelled, it can be very difficult
to \textit{a~priori} choose the optimal level of supervision, and the
consequences of a sub-optimal choice can be non-trivial. A flexible
fractionally-supervised approach to classification is introduced, where any
level of supervision --- ranging from unsupervised to supervised --- can be
attained. Our approach uses a weighted likelihood, wherein weights control the
relative role that labelled and unlabelled data have in building a classifier.
A comparison between our approach and the traditional species is presented
using simulated and real data. Gaussian mixture models are used as a vehicle to
illustrate our fractionally-supervised classification approach; however, it is
broadly applicable and variations on the postulated model can be easily made.


title:
Field localization and Nambu Jona-Lasinio mass generation mechanism in
  an alternative 5-dimensional brane model

abstract:
  We consider a 5-dimensional brane world model with a single brane which is
distinct from the well known Randall-Sundrum model. We discuss the similarities
and differences between our brane model and the Randall-Sundrum brane model. In
particular we focus on the localization of 5D fields with different spins --
spin 0, spin 1/2, spin 1 -- to the brane, and a self-consistent mass generation
mechanism. We find that the brane model studied here has different (and in some
cases superior) localization properties for fields/particles with different
spins to the brane, as compared to the original 5-dimensional brane models. In
addition this alternative 5D brane model exhibits a self generation mechanism
which recalls the self-consistent approach of Nambu and Jona-Lasinio.


title: (I,J) similar solutions to Euler and Navier-Stokes equations

abstract:
  In this paper we introduce (I,J) similar method for incompressible two and
three dimensional Euler equations and Navier-Stokes equations, obtain a series
of explicit (I,J) similar solutions to the incompressible two dimensional Euler
equations, they include all of twin wave solutions, some new singularity
solutions, and some global smooth solutions with finite energy. We also
discover that twin wave solution and affine solution to two dimensional
incompressible Euler equations are respectively plane wave and constant vector.
Finally, we supply some explicit piecewise smooth solutions to incompressible
three dimensional Euler and an example to incompressible three dimensional
Navier-Stokes equations which indicates that viscosity limit of a solution to
Navier-Stokes equations does not need to be a solution to Euler equations.


title:
Non-classical higher-order photon correlations with a quantum dot
  strongly coupled to a photonic-crystal nanocavity

abstract:
  We use the third- and fourth-order autocorrelation functions
$g^{(3)}(\tau_1,\tau_2)$ and $g^{(4)}(\tau_1,\tau_2, \tau_3)$ to detect the
non-classical character of the light transmitted through a photonic-crystal
nanocavity containing a strongly-coupled quantum dot probed with a train of
coherent light pulses. We contrast the value of $g^{(3)}(0, 0)$ with the
conventionally used $g^{(2)}(0)$ and demonstrate that in addition to being
necessary for detecting two-photon states emitted by a low-intensity source,
$g^{(3)}$ provides a more clear indication of the non-classical character of a
light source. We also present preliminary data that demonstrates bunching in
the fourth-order autocorrelation function $g^{(4)}(\tau_1,\tau_2, \tau_3)$ as
the first step toward detecting three-photon states.


title: Resurrection axioms and uplifting cardinals

abstract:
  We introduce the resurrection axioms, a new class of forcing axioms, and the
uplifting cardinals, a new large cardinal notion, and prove that various
instances of the resurrection axioms are equiconsistent over ZFC with the
existence of an uplifting cardinal.


title:
Criticalities of the transverse- and longitudinal-field fidelity
  susceptibilities for the d=2 quantum Ising model

abstract:
  The inner product between the ground-state eigenvectors with proximate
interaction parameters, namely, the fidelity, plays a significant role in the
quantum dynamics. In this paper, the critical behaviors of the transverse- and
longitudinal-field fidelity susceptibilities for the d=2 quantum
(transverse-field) Ising model are investigated by means of the numerical
diagonalization method; the former susceptibility has been investigated rather
extensively. The critical exponents for these fidelity susceptibilities are
estimated as \alpha^{(t)}_F=0.752(24) and \alpha^{(h)}_F=1.81(13),
respectively. These indices are independent, and suffice for obtaining
conventional critical indices such as \nu=0.624(12) and \gamma=1.19(13).


title: A Note on Different Definitions of Momentum Disturbance

abstract:
  In [1], Busch et al. showed that it is possible to construct an
error-disturbance relation having the same form as Heisenberg's original
heuristic definition[2], in contrast to the theory proposed by Ozawa[3] which
we and others recently confirmed experimentally[4,5]. With Ozawa's definitions
of measurement error and disturbance, a relation of Heisenberg's form is not in
general valid, and a new error-disturbance relationship can be derived. Here we
explain the different physical significance of the two definitions, and suggest
that Ozawa's definition better corresponds to the usual understanding of the
disturbance that Heisenberg discussed.


title:
Saturated Low-Temperature Conductivity in Ultrafast Semiconductor
  Nanocomposites

abstract:
  This article presents studies on low-field electrical conduction in the range
4-to-300 K for a ultrafast material: InGaAs:ErAs grown by molecular beam
epitaxy. The unique properties include nano-scale ErAs crystallines in host
semiconductor, a deep Fermi level, and picosecond ultrafast photocarrier
recombination. As the temperature drops, the conduction mechanisms are in the
sequence of thermal activation, nearest-neighbor hopping, variable-range
hopping, and Anderson localization. In the low-temperature limit,
finite-conductivity metallic behavior, not insulating, was observed. This
unusual conduction behavior is explained with the Abrahams scaling theory.


title:
Effect of circular Unruh radiation on bound nucleons and a possible
  answer to the Lithium 7 puzzle

abstract:
  In the shell model of nuclei, protons and neutrons move in a phenomenological
nuclear potential much in the same manner as electrons move in Coulomb based
potential in the shell model of atoms. As in the atomic case, the protons and
neutrons of certain nuclear energy levels will have a non-zero orbital angular
momentum (i.e. l =/= 0) and will therefore experience a centripetal potential
and a centripetal acceleration. We advance the hypothesis, based on
justification via the path integral formalism, that if one associates an Unruh
temperature with this quantum centripetal acceleration then there is a
potentially experimentally observable effect on certain nuclei -- the shifting
of the naive expectations of the relative occupation of the ground and lowest
lying energy levels. In particular we find that this effect should be most
prominent in Li-7 nuclei. We speculate that this effect of the Unruh
temperature might offer an answer to the Li-7 problem in Big Bang
Nucleosynthesis.


title:
125 GeV Higgs boson decays in the $\mu$ from $\nu$ supersymmetric
  standard model

abstract:
  Recently the ATLAS and CMS Collaborations have reported significant events
that are attributed to the neutral Higgs boson with mass around 125 GeV. In
this work, we investigate the signals of the Higgs boson decay channels
$h\rightarrow\gamma\gamma$, $h\rightarrow VV^*$ ($V=Z,W$), and $h\rightarrow
f\bar{f}$ ($f=b,\tau$) in the $\mu$ from $\nu$ supersymmetric standard model
($\mu\nu$SSM). In the numerical results, we show the light stop and stau
effects on the signal strengths for the 125 GeV Higgs boson decay channels in
the $\mu\nu$SSM, which can account for the updated experimental data on Higgs.


title:
Linear Precoders for Non-Regenerative Asymmetric Two-way Relaying in
  Cellular Systems

abstract:
  Two-way relaying (TWR) reduces the spectral-efficiency loss caused in
conventional half-duplex relaying. TWR is possible when two nodes exchange data
simultaneously through a relay. In cellular systems, data exchange between base
station (BS) and users is usually not simultaneous e.g., a user (TUE) has
uplink data to transmit during multiple access (MAC) phase, but does not have
downlink data to receive during broadcast (BC) phase. This non-simultaneous
data exchange will reduce TWR to spectrally-inefficient conventional
half-duplex relaying. With infrastructure relays, where multiple users
communicate through a relay, a new transmission protocol is proposed to recover
the spectral loss. The BC phase following the MAC phase of TUE is now used by
the relay to transmit downlink data to another user (RUE). RUE will not be able
to cancel the back-propagating interference. A structured precoder is designed
at the multi-antenna relay to cancel this interference. With multiple-input
multiple-output (MIMO) nodes, the proposed precoder also triangulates the
compound MAC and BC phase MIMO channels. The channel triangulation reduces the
weighted sum-rate optimization to power allocation problem, which is then cast
as a geometric program. Simulation results illustrate the effectiveness of the
proposed protocol over conventional solutions.


title: Electric moulding of dispersed lipid nanotubes into a nanofluidic device

abstract:
  Hydrophilic nanotubes formed by lipid molecules have potential applications
as platforms for chemical or biological events occurring in an attolitre volume
inside a hollow cylinder. Here, we have integrated the lipid nanotubes (LNTs)
by applying an AC electric field via plug-in electrode needles placed above a
substrate. The off-chip assembly method has the on-demand adjustability of an
electrode configuration, enabling the dispersed LNT to be electrically moulded
into a separate film of parallel LNT arrays in one-step. The fluorescence
resonance energy transfer technique as well as the digital microscopy
visualised the overall filling of gold nanoparticles up to the inner capacity
of an LNT film by capillary action, thereby showing the potential of this
flexible film for use as a high-throughput nanofluidic device where not only is
the endo-signalling and product in each LNT multiplied but also the
encapsulated objects are efficiently transported and reacted.


title: Dynamics of Phi^4 Kinks on a Class of Space Dependent Potentials

abstract:
  In this paper we study the dynamics of $\varphi^{4}$ kinks, generated by
considering a particular argument of $\varphi^{4}$ field, in the presence of
class of smooth space dependent potentials ie. barriers and wells. Various type
of these potentials are produced via two-parameter family. These parameters
control the shapes, widths and heights of such potentials. The dynamics are
presented through the plotting of the trajectories. We compare numerical
calculated critical velocities to theoretical calculations.


title:
On the relation between hydrogen bonds, tetrahedral order and molecular
  mobility in model water

abstract:
  We studied by molecular dynamics simulations the relation existing between
the lifetime of hydrogen bonds, the tetrahedral order and the diffusion
coefficient of model water. We tested four different models: SPC/E, TIP4P-Ew,
TIP5P-Ew and Six-site, these last two having sites explicitly resembling the
water lone pairs. While all the models perform reasonably well at ambient
conditions, their behavior is significantly different for temperatures below
270 K. The models with explicit lone-pairs have a longer hydrogen bond
lifetime, a better tetrahedral order and a smaller diffusion coefficient than
the models without them.