title:
Phase-resolved polarization properties of the pulsar striped wind
  synchrotron emission

abstract:
  Since the launch of the Fermi telescope more than five years ago, many new
gamma-ray pulsars have been discovered with intriguing properties challenging
our current understanding of pulsar physics. Observation of the Crab pulsar
furnish today a broad band analysis of the pulsed spectrum with phase-resolved
variability allowing to refine existing model to explain pulse shape, spectra
and polarization properties. The latter gives inside into the geometry of the
emitting region as well as on the structure of the magnetic field. Based on an
exact analytical solution of the striped wind with finite current sheet
thickness, we analyze in detail the phase-resolved polarization variability
emanating from the synchrotron radiation. We assume that the main contribution
to the wind emissivity comes from a thin transition layer where the dominant
toroidal magnetic field reverses its polarity, the so-called current sheet. The
resulting radiation is mostly linearly polarized. In the off-pulse region, the
electric vector lies in the direction of the projection onto the plane of the
sky of the rotation axis of the pulsar. This property is unique to the wind
model and in good agreement with the Crab data. Other properties such as a
reduced degree of polarization and a characteristic sweep of the polarization
angle within the pulses are also reproduced. These properties are qualitatively
unaffected by variations of the wind Lorentz factor, the lepton injection power
law index, the contrast in hot and cold particle, the obliquity of the pulsar
and the inclination of the line of sight.


title: Semi-inner products and the concept of semi-polarity

abstract:
  The lack of an inner product structure in Banach spaces yields the motivation
to introduce a semi-inner product with a more general axiom system, one missing
the requirement for symmetry, unlike the one determing a Hilbert space. We use
it on a finite dimensional real Banach space $(\X, \| \cdot\|)$ to define and
investigate three concepts. First, we generalize that of \emph{antinorms},
already defined in Minkowski planes, for even dimensional spaces. Second, we
introduce \emph{normality maps}, which in turn leads us to the study of
\emph{semi-polarity}, a variant of the notion of polarity, which makes use of
the underlying semi-inner product.


title: Peristaltic pumps work in nano scales

abstract:
  A design for a pump is suggested which is based on well-known peristaltic
pumps. In order to simply describe the operation of the proposed pump, an
innovative interpretation of low Reynolds number swimmers is presented and
thereafter a similar theoretical model would be suggested to quantify the
behavior of the pumps. A coarse-grained molecular dynamic simulation is used to
examine the theoretical predictions and measure the efficiency of the pump in
nano scales. It is shown that this pump with a modest design is capable of
being a good option for transport processes in nano scale.


title:
Significance of interface anisotropy in laser induced magnetization
  precession in ferromagnetic metal films

abstract:
  Laser induced ultrafast demagnetization in ferromagnetic metals was
discovered almost 20 years ago, but currently there is still lack of consensus
on the microscopic mechanism responsible for the corresponding transfer of
angular momentum and energy between electron, lattice and spin subsystems. A
distinct, but intrinsically correlated phenomenon occurring on a longer
timescale is the magnetization precession after the ultrafast demagnetization
process, if a magnetic field is applied to tilt the magnetization vector away
from its easy direction, which can be attributed to the change of anisotropy
after laser heating. In an in-plane magnetized Pt/Co/Pt thin film with
perpendicular interface anisotropy, we found excellent agreement between
theoretical prediction with plausible parameters and experimental data measured
using time resolved magneto-optical Kerr effect. This agreement confirms that
the time evolution of the anisotropy field, which is driven by the interaction
between electrons and phonons, determines the magnetization precession
completely. A detailed analysis shows that, even though the whole sample is
magnetized in-plane, the dynamic interface anisotropy field dictates the
initial phase of the magnetization precession, highlighting the significance of
the interface anisotropy field in laser induced magnetization precession.


title: Developing Cloud Chambers with High School Students

abstract:
  The result and outcome of the \textit{cloud chamber project}, which aims to
develop a cloud chamber useful for science education is reported in detail. A
project includes both three high school students and a teacher as a part of
Super Science High School (SSH) program in our school. We develop a
dry-ice-free cloud chamber using salt and ice (or snow). Technical details of
the chamber are described. We also argue how the project have affected
student's cognition, motivation, academic skills and behavior. The research
project has taken steps of professional researchers, i.e., in planning
research, applying fund, writing a paper and giving a talk in conferences. From
interviews with students, we have learnt that such style of scientific activity
is very effective in promoting student's motivation for learning science.


title:
General-relativistic electromagnetic fields around a slowly rotating
  neutron star: stationary vacuum solutions

abstract:
  Pulsars are thought to be highly magnetized rotating neutron stars
accelerating charged particles along magnetic field lines in their
magnetosphere and visible as pulsed emission from the radio wavelength up to
high energy X-rays and gamma-rays. Being highly compact objects with
compactness close to $\Xi = R_s/R\approx0.5$, where $\Rs=2\,G\,M/c^2$ is the
Schwarzschild radius and $\{M,R\}$ the mass and radius of the neutron star,
general-relativistic effects become important close to their surface. This is
especially true for the polar caps where radio emission is supposed to emanate
from, leading to well defined signatures such as linear and circular
polarization. In this paper, we derive a general formalism to extend to general
relativity the Deutsch field solution valid in vacuum space. Thanks to a vector
spherical harmonic expansion of the electromagnetic field, we are able to
express the solution to any order in the spin parameter $\Omega$ of the compact
object. We hope this analysis to serve as a benchmark to test numerical codes
used to compute black hole and neutron star magnetospheres.


title: Closing the Price of Anarchy Gap in the Interdependent Security Game

abstract:
  The reliability and security of a user in an interconnected system depends on
all users' collective effort in security. Consequently, investments in security
technologies by strategic users is typically modeled as a public good problem,
known as the Interdependent Security (IDS) game. The equilibria for such games
are often inefficient, as selfish users free-ride on positive externalities of
others' contributions. In this paper, we present a mechanism that implements
the socially optimal equilibrium in an IDS game through a message exchange
process, in which users submit proposals about the security investment and
tax/price profiles of one another. This mechanism is different from existing
solutions in that (1) it results in socially optimal levels of investment,
closing the Price of Anarchy gap in the IDS game, (2) it is applicable to a
general model of user interdependencies. We further consider the issue of
individual rationality, often a trivial condition to satisfy in many resource
allocation problems, and argue that with positive externality, the incentive to
stay out and free-ride on others' investment can make individual rationality
much harder to satisfy in designing a mechanism.


title: A high regularity result of solutions to modified p-Stokes equations

abstract:
  This paper is concerned with a special elliptic system, which can be seen as
a perturbed $p$-Laplacean system, $p\in(1,2)$, and, for its "shape", it is
close to the $p$-Stokes system. Since our "stress tensor" is given by means of
$\nabla u $ and not by its symmetric part, then our system is not a $p$-Stokes
system. Hence, the system is called {\it modified} $p$-Stokes system. We look
for the high regularity of the solutions $(u,\pi)$, that is $D^2u,\nabla\pi \in
L^q,q\in(1,\infty)$. In particular, we get $\nabla u,\pi\in C^{0,\alpha}$. As
far as we know, such a result of high regularity is the first concerning the
coupling of unknowns $(u,\pi)$. However, our result also holds for the
$p$-Laplacean, and it is the first high regularity result in unbounded domains.


title: Decorated Geometric Crystals and Polyhedral Realizations of type D_n

abstract:
  This is a continuation of [15, 16]. We shall show that for type D_n the
realization of crystal bases obtained from the decorated geometric crystals in
[2] coincides with the polyhedral realizations of crystal bases.


title:
Finite field dependent BRST transformations and its applications to
  gauge field theories

abstract:
  The Becchi-Rouet-Stora and Tyutin (BRST) transformation plays a crucial role
in the quantization of gauge theories. The BRST transformation is also very
important tool in characterizing the various renormalizable field theoretic
models. The generalization of the usual BRST transformation, by making the
infinitesimal global parameter finite and field dependent, is commonly known as
the finite field dependent BRST (FFBRST) transformation. In this thesis, we
have extended the FFBRST transformation in an auxiliary field formulation and
have developed both on-shell and off-shell FF-anti-BRST transformations. The
different aspects of such transformation are studied in Batalin-Vilkovisky (BV)
formulation. FFBRST transformation has further been used to study the
celebrated Gribov problem and to analyze the constrained dynamics in gauge
theories. A new finite field dependent symmetry (combination of FFBRST and
FF-anti-BRST) transformation has been invented. The FFBRST transformation is
shown useful in connection of first-class constrained theory to that of
second-class also. Further, we have applied the Batalin-Fradkin-Vilkovisky
(BFV) technique to quantize a field theoretic model in the Hamiltonian
framework. The Hodge de Rham theorem for differential geometry has also been
studied in such context.


title:
Exact interacting Green's function for the Anderson impurity at high
  bias voltages

abstract:
  We describe some exact high-energy properties of a single Anderson impurity
connected to two noninteracting leads in a nonequilibrium steady state. In the
limit of high bias voltages, and also in the high-temperature limit at thermal
equilibrium, the model can be mapped on to an effective non-Hermitian
Hamiltonian consisting of two sites, which correspond to the original impurity
and its image that is defined in a doubled Hilbert space referred to as
Liouville-Fock space. For this, we provide a heuristic derivation using a
path-integral representation of the Keldysh contour and the thermal field
theory, in which the time evolution along the backward contour is replicated by
extra degrees of freedom corresponding to the image. We find that the effective
Hamiltonian can also be expressed in terms of charges and currents. From this,
it can be deduced that the dynamic susceptibilities for the charges and the
current fluctuations become independent of the Coulomb repulsion U in the high
bias limit. Furthermore, the equation of motions for the Green's function and
two other higher-order correlation functions constitute a closed system. The
exact solution obtained from the three coupled equations extends the
atomic-limit solution such that the self-energy correctly captures the
imaginary part caused by the relaxation processes at high energies. The
spectral weights of the upper and lower Hubbard levels depend sensitively on
the asymmetry in the tunneling couplings to the left and right leads.


title:
Geometrical Probability Distribution Functions for Cable-in-Conduit
  Conductors with Simply and Multiply Connected Cross-Sections

abstract:
  A geometrical method is presented for the calculation of the strand
distribution functions for cable-in-conduit superconductors with simple and
multiply connected cross-sections. The method is illustrated on different cable
designs with simply and multiply connected structures.


title: The partial Ricci flow on one-dimensional foliations

abstract:
  A flow of metrics, $g_t$, on a manifold is a solution of a differential
equation $\dt g = S(g)$, where a geometric functional $S(g)$ is a symmetric
$(0,2)$-tensor usually related to some kind of curvature. The mixed sectional
curvature of a foliated manifold regulates the deviation of leaves along the
leaf geodesics. We introduce and study the flow of metrics on a foliation
(called the 'Partial Ricci Flow'), where $S=-2 r$ and $r$ is the partial Ricci
curvature of the foliation; in other words, the velocity for a unit vector $X$
orthogonal to the leaf, $-2 r(X,X)$, is the mean value of sectional curvatures
over all mixed planes containing $X$.
  The flow preserves totally geodesic foliations and is used to examine the
question: Which foliations admit a metric with a given property of mixed
sectional curvature (e.g., point-wise constant)? This is related to Toponogov
question about dimension of totally geodesic foliations with positive mixed
sectional curvature.
  We first consider a one-dimensional foliation, since this case is easier. We
prove local existence/uniqueness theorem, deduce the government equations for
the curvature and conullity tensors (which are parabolic along the leaves), and
show convergence of solution metrics for some classes of almost-product
structures. For the warped product initial metric the global solution metrics
converge to one with constant mixed sectional curvature.


title: Thermally driven domain wall motion in Fe on W(1 1 0)

abstract:
  It has recently been shown that domain walls in ferromagnets can be moved in
the presence of thermal gradients. In this work we study the motion of narrow
domain walls in low-dimensional systems when subjected to thermal gradients.
The system chosen is a monolayer of Fe on W(1 1 0) which is known to exhibit a
large anisotropy while having a soft exchange, resulting in a very narrow
domain wall. The study is performed by means of atomistic spin dynamics
simulations coupled to first-principles calculations. By subjecting the systems
to a thermal gradient we observe a temperature dependent movement of the domain
wall as well as changes of the spatial magnetization profile of the system. The
thermal gradient always makes the domain wall move towards the hotter region of
the sample with a velocity proportional to the gradient. The material specific
study is complemented by model simulations to discern the interplay between the
thermal gradient, magnetic anisotropy and the exchange interaction, and shows
that the larger DW velocities are found for materials with low magnetic
anisotropy. The relatively slow DW motion of the Fe/W(1 1 0) system is hence
primarily caused by its large magnetic anisotropy.


title:
Implications of Resonant Inelastic X-ray Scattering Data for Theoretical
  Models of Cuprates

abstract:
  There are two commonly discussed points of view in theoretical description of
cuprate superconductors, (i) Cuprates can be described by the modified t-J
model. (ii) Overdoped cuprates are close to the regime of normal Fermi liquid
(NFL). We argue that recent resonant inelastic X-ray scattering data challenge
both points. While the modified t-J model describes well the strongly
underdoped regime, it fails to describe high energy magnetic excitations when
approaching optimal doping. This probably indicates failure of the Zhang-Rice
singlet picture. In the overdoped regime the momentum-integrated spin structure
factor S(\omega) has the same intensity and energy distribution as that in an
undoped parent compound. This implies that the entire spin spectral sum rule is
saturated at \omega ~ 2J, while in a NFL the spectral weight should saturate
only at the total bandwidth which is much larger than 2J.


title: Binary systems in Palatini-f(R) gravity

abstract:
  We consider compact binary systems in f(R) gravity theories in the Palatini
approach and calculate the post-Newtonian parameters to the 1.5PN order using
the method of Direct Integration of the Relaxed Einstein equations (DIRE). The
Palatini-type modifications of gravity can be formulated as Einsteins gravity
with modified response to matter sources, and it is shown in detail how to
treat these correctly within the DIRE formalism. Our results explicitly confirm
the expectation that for binary black holes the new effects can be absorbed
into redefinitions of the binary masses, rendering such systems observationally
identical to general relativity.


title:
Electromagnetic effects in the stabilization of turbulence by sheared
  flow

abstract:
  We have extended our study of the competition between the drive and
stabilization of plasma microinstabilities by sheared flow to include
electromagnetic effects at low plasma $\beta$ (the ratio of plasma to magnetic
pressure). The extended system of characteristic equations is formulated, for a
dissipative fluid model developed from the gyrokinetic equation, using a
twisting mode representation in sheared slab geometry and focusing on the ion
temperature gradient mode. Perpendicular flow shear convects perturbations
along the field at the speed we denote as $Mc_s$ (where $c_s$ is the sound
speed). $M > 1/ \sqrt{\beta}$ is required to make the system characteristics
unidirectional and inhibit eigenmode formation, leaving only transitory
perturbations in the system. This typically represents a much larger flow shear
than in the electrostatic case, which only needs $M>1$. Numerical investigation
of the region $M < 1/\sqrt{\beta}$ shows the driving terms can conflict, as in
the electrostatic case, giving low growth rates over a range of parameters.
Also, at modest drive strengths and low $\beta$ values typical of experiments,
including electromagnetic effects does not significantly alter the growth
rates. For stronger flow shear and higher $\beta$, geometry characteristic of
the spherical tokamak mitigates the effect of an instability of the shear
Alfv\'{e}n wave, driven by the parallel flow shear.


title: Incentives and Efficiency in Uncertain Collaborative Environments

abstract:
  We consider collaborative systems where users make contributions across
multiple available projects and are rewarded for their contributions in
individual projects according to a local sharing of the value produced. This
serves as a model of online social computing systems such as online Q&A forums
and of credit sharing in scientific co-authorship settings. We show that the
maximum feasible produced value can be well approximated by simple local
sharing rules where users are approximately rewarded in proportion to their
marginal contributions and that this holds even under incomplete information
about the player's abilities and effort constraints. For natural instances we
show almost 95% optimality at equilibrium. When players incur a cost for their
effort, we identify a threshold phenomenon: the efficiency is a constant
fraction of the optimal when the cost is strictly convex and decreases with the
number of players if the cost is linear.


title: Zero-separating invariants for finite groups

abstract:
  We fix a field $\kk$ of characteristic $p$. For a finite group $G$ denote by
$\delta(G)$ and $\sigma(G)$ respectively the minimal number $d$, such that for
any finite dimensional representation $V$ of $G$ over $\kk$ and any $v\in
V^{G}\setminus\{0\}$ or $v\in V\setminus\{0\}$ respectively, there exists a
homogeneous invariant $f\in\kk[V]^{G}$ of positive degree at most $d$ such that
$f(v)\ne 0$. Let $P$ be a Sylow-$p$-subgroup of $G$ (which we take to be
trivial if the group order is not divisble by $p$). We show that
$\delta(G)=|P|$. If $N_{G}(P)/P$ is cyclic, we show $\sigma(G)\ge|N_{G}(P)|$.
If $G$ is $p$-nilpotent and $P$ is not normal in $G$, we show $\sigma(G)\le
\frac{|G|}{l}$, where $l$ is the smallest prime divisor of $|G|$. These results
extend known results in the non-modular case to the modular case.


title:
Radio emission at the centre of the galaxy cluster Abell 3560: evidence
  for core sloshing?

abstract:
  Previous radio observations of the galaxy cluster A3560 in the Shapley
Concentration showed complex radio emission associated with the brightest
cluster member.To understand its origin we observed it with the GMRT, the VLA
and ATCA at 240 and 610 MHz, 1.28,1.4, 2.3,4.8 and 8.4 GHz, and performed a
detailed morphological and spectral study of the radio emission associated with
the BCG. We also observed the cluster with XMM-Newton and Chandra to derive the
properties of the ICM. The radio emission of the N-E nucleus of the dumb-bell
BCG shows an active radio galaxy, plus aged diffuse emission, which is not
refurbished at present. Our Chandra data show that the radio active nucleus of
the BCG has extended X-ray emission, which we classify as a low-luminosity
corona. A residual image of the XMM-Newton brightness shows the presence of a
spiral-like feature, which we interpret as the signature of gas sloshing. The
presence of a subgroup is clear in the surface brightness residual map, and in
the XMM-Newton temperature analysis. The optical 2D analysis shows substructure
in A3560. A galaxy clump was found at the location of the X-ray subgroup, and
another group is present south of the cluster core, close to the spiral-like
feature. The aged part of the radio emission closely follows the spiral pattern
of the X-ray residual brightness distribution, while the two active radio lobes
are bent in a completely different direction. We conclude that the complex
radio emission associated with the cluster BCG is the result of a minor merger
event in A3560. The aged diffuse emission is strongly affected by the sloshing
motion in the ICM. On the other hand, the bent jets and lobes of the current
radio AGN activity may reflect a complex gas velocity field in the innermost
cluster regions and/or sloshing-induced oscillations in the motion of the cD
galaxy.


title:
Controlling the Polarity of the Transient Ferromagnetic-Like State in
  Ferrimagnets

abstract:
  After the application of an ultrashort laser pulse, the antiferromagnetic
alignment in rare earth-transition metal alloys can temporarily become
ferromagnetic with the rare-earth polarity.
  Proposed models merely describe this effect, without showing the route for
its manipulation. Here we use extensive atomistic spin model simulations and
micromagnetic theory for ferrimagnets at elevated temperatures to predict that
the polarity of this transient ferromagnetic-like state can be controlled by
initial temperature. We show that this arises because the magnetic response of
each lattice has a different temperature dependence, at low temperatures the
transition metal responds faster than the rare earth, while at high
temperatures this role is interchanged. Our findings contribute to the physical
understanding and control of this state and thus open new perspectives for its
use in ultrafast magnetic devices.


title: Cluster expansion and the boxdot conjecture

abstract:
  The boxdot conjecture asserts that every normal modal logic that faithfully
interprets T by the well-known boxdot translation is in fact included in T. We
confirm that the conjecture is true. More generally, we present a simple
semantic condition on modal logics $L_0$ which ensures that the largest logic
where $L_0$ embeds faithfully by the boxdot translation is $L_0$ itself. In
particular, this natural generalization of the boxdot conjecture holds for S4,
S5, and KTB in place of T.


title: Magnetostatics and optics of noncentrosymmetric metals

abstract:
  The current in noncentrosymmetric metals in normal and superconducting state
is found in frame of linear response theory. In line with usual terms
corresponding diamagnetic response, the Landau diamagnetism and the Pauli
paramagnetism the general expression contains also the terms corresponding to
spacial dispersion specific for a medium without space parity. This, so called,
gyrotropic current is calculated in zero frequency case as well in infrared
frequency region. The static gyrotropic current yields negligibly small
correction to the London magnetostatics in a superconductor without inversion
center. Whereas the high frequency response produces the natural-optical
activity revealed f.e. in the Kerr effect. The magnitude of the Kerr angle in
infrared frequency region is proved to be in reasonable correspondence with
recently reported observations of the Kerr effect in the pseudogap phase in
several different high Tc materials.


title:
Eight Planets in Four Multi-planet Systems via Transit Timing Variations
  in 1350 Days

abstract:
  Analysis of the transit timing variations (TTVs) of candidate pairs near
mean-motion resonances (MMRs) is an effective method to confirm planets.
Hitherto, 68 planets in 34 multi-planet systems have been confirmed via TTVs.
We analyze the TTVs of all candidates from the most recent Kepler data with a
time span as long as about 1350 days (Q0-Q15). The anti-correlations of TTV
signals and the mass upper limits of candidate pairs in the same system are
calculated, using an improved method suitable for long-period TTVs. If the
false alarm probability (FAP) of a candidate pair is less than 10^{-3} and the
mass upper limit for each candidate is less than 13 M_J, we confirm them as
planets in the same system. Finally, 8 planets in 4 multi-planet systems are
confirmed via analysis of their TTVs. All of the 4 planet pairs are near
first-order MMRs, including KOI-2672 near 2:1 MMR, KOI-1236, KOI-1563 and
KOI-2038 near 3:2 MMR. Four planets have relatively long orbital periods (> 35
day). KOI-2672.01 has a period of 88.51658 days and a fit mass of 17 M_\oplus.
It is the longest-period planet confirmed, to date, near first-order MMR via
TTVs.


title:
On the Crepant Resolution Conjecture for Gromov-Witten Gravitational
  Ancestors in All Genera for Surface Singularities

abstract:
  We state a version of the crepant resolution conjecture for total ancestor
potentials for surface singularities, and reduce the conjecture to the quantum
McKay correspondence conjecture of J.Bryan and A.Gholampour and a vanishing
conjecture for Hurwitz-Hodge integrals. In particular, for singularities of
type A, we prove the conjecture. We also suggest an approach towards a proof
for the general cases by Teleman's reconstruction theorem for semisimple
cohomological field theories.


title:
Dynamics of complex-valued modified KdV solitons with applications to
  the stability of breathers

abstract:
  We study the long-time dynamics of complex-valued modified Korteweg-de Vries
(mKdV) solitons, which are recognized because they blow-up in finite time. We
establish stability properties at the H^1 level of regularity, uniformly away
from each blow-up point. These new properties are used to prove that mKdV
breathers are H^1 stable, improving our previous result, where we only proved
H^2 stability. The main new ingredient of the proof is the use of a B\"acklund
transformation which links the behavior of breathers, complex-valued solitons
and small real-valued solutions of the mKdV equation. We also prove that
negative energy breathers are asymptotically stable. Since we do not use any
method relying on the Inverse Scattering Transformation, our proof works even
under rough perturbations, provided a corresponding local well-posedness theory
is available.


title: $p$-adic Zeros of Quintic Forms

abstract:
  It is shown that a quintic form over a p-adic field with at least 26
variables has a non-trivial zero, providing that the cardinality of the residue
class field exceeds 9.


title: Optical conductivity of the $t_{2g}$ two-dimensional electron gas

abstract:
  Motivated by recent interest in perovskite surfaces and heterostructures, we
present an analysis of the Kubo conductivity of a two-dimensional electron gas
(2DEG) formed in the $t_{2g}$ bands of an oxide with perovskite structure. We
find that when the electric field is polarized in the plane of the 2DEG, the
optical conductivity is dominated by nearly independent Drude contributions
from two-dimensional subband Fermi surfaces, whereas for perpendicular-to-plane
polarization it has strong intersubband features. Our analysis suggests that
perpendicular-to-plane optical conductivity studies may help advance
understanding of the interplay between lattice distortions and
electron-electron interactions in complex oxide 2DEG quantum confinement
physics.


title:
The diversity of progenitors and emission mechanisms for ultra-long
  bursts

abstract:
  GRB 111209A is the longest ever recorded burst. This burst was detected by
Swift and Konus-Wind, and we obtained TOO time from XMM-Newton as well as
prompt data from TAROT. We made a common reduction using data from these
instruments together with other ones. This allows for the first time a precise
study at high signal-to-noise ratio of the prompt to afterglow transition. We
show that several mechanisms are responsible of this phase. In its prompt
phase, we show that its duration is longer than 20 000 seconds. This, combined
with the fact that the burst fluence is among the top 5% of what is observed
for other events, makes this event extremely energetic. We discuss the possible
progenitors that could explain the extreme duration properties of this burst as
well as its spectral properties. We present evidences that this burst belong to
a new, previously unidentified, class of GRBs. The most probable progenitor of
this new class is a low metalicity blue super-giant star. We show that
selection effects could prevent the detection of other bursts at larger
redshift and conclude that this kind of event is intrinsically rare in the
local Universe. The afterglow presents similar features to other normal long
GRBs and a late rebrightening in the optical wavelengths, as observed in other
long GRBs. A broad band SED from radio to X-rays at late times does not show
significant deviations from the expected standard fireball afterglow
synchrotron emission.


title:
Microscopic mechanism for the shear-thickening of non-Brownian
  suspensions

abstract:
  We propose a simple model, supported by contact-dynamics simulations as well
as rheology and friction measurements, that links the transition from
continuous to discontinuous shear-thickening in dense granular pastes to
distinct lubrication regimes in the particle contacts. We identify a local
Sommerfeld number that determines the transition from Newtonian to
shear-thickening flows, and then show that the suspension's volume fraction and
the boundary lubrication friction coefficient control the nature of the
shear-thickening transition, both in simulations and experiments.


title:
Singular values of products of Ginibre random matrices, multiple
  orthogonal polynomials and hard edge scaling limits

abstract:
  Akemann, Ipsen and Kieburg recently showed that the squared singular values
of products of M rectangular random matrices with independent complex Gaussian
entries are distributed according to a determinantal point process with a
correlation kernel that can be expressed in terms of Meijer G-functions. We
show that this point process can be interpreted as a multiple orthogonal
polynomial ensemble. We give integral representations for the relevant multiple
orthogonal polynomials and a new double contour integral for the correlation
kernel, which allows us to find its scaling limits at the origin (hard edge).
The limiting kernels generalize the classical Bessel kernels. For M=2 they
coincide with the scaling limits found by Bertola, Gekhtman, and Szmigielski in
the Cauchy-Laguerre two-matrix model, which indicates that these kernels
represent a new universality class in random matrix theory.


title: Boundary identification of events in clinical named entity recognition

abstract:
  The problem of named entity recognition in the medical/clinical domain has
gained increasing attention do to its vital role in a wide range of clinical
decision support applications. The identification of complete and correct term
span is vital for further knowledge synthesis (e.g., coding/mapping concepts
thesauruses and classification standards). This paper investigates boundary
adjustment by sequence labeling representations models and post-processing
techniques in the problem of clinical named entity recognition (recognition of
clinical events). Using current state-of-the-art sequence labeling algorithm
(conditional random fields), we show experimentally that sequence labeling
representation and post-processing can be significantly helpful in strict
boundary identification of clinical events.


title:
The Profinite Dimensional Manifold Structure of Formal Solution Spaces
  of Formally Integrable PDEs

abstract:
  In this paper, we study the formal solution space of a nonlinear PDE in a
fiber bundle. To this end, we start with foundational material and introduce
the notion of a pfd structure to build up a new concept of profinite
dimensional manifolds. We show that the infinite jet space of the fiber bundle
is a profinite dimensional manifold in a natural way. The formal solution space
of the nonlinear PDE then is a subspace of this jet space, and inherits from it
the structure of a profinite dimensional manifold, if the PDE is formally
integrable. We apply our concept to scalar PDEs and prove a new criterion for
formal integrability of such PDEs. In particular, this result entails that the
Euler-Lagrange equation of a relativistic scalar field with a polynomial
self-interaction is formally integrable.


title: Fast Semidifferential-based Submodular Function Optimization

abstract:
  We present a practical and powerful new framework for both unconstrained and
constrained submodular function optimization based on discrete
semidifferentials (sub- and super-differentials). The resulting algorithms,
which repeatedly compute and then efficiently optimize submodular
semigradients, offer new and generalize many old methods for submodular
optimization. Our approach, moreover, takes steps towards providing a unifying
paradigm applicable to both submodular min- imization and maximization,
problems that historically have been treated quite distinctly. The practicality
of our algorithms is important since interest in submodularity, owing to its
natural and wide applicability, has recently been in ascendance within machine
learning. We analyze theoretical properties of our algorithms for minimization
and maximization, and show that many state-of-the-art maximization algorithms
are special cases. Lastly, we complement our theoretical analyses with
supporting empirical experiments.


title: The Fate of the Quantum

abstract:
  Although the suspicion that quantum mechanics is emergent has been lingering
for a long time, only now we begin to understand how a bridge between classical
and quantum mechanics might be squared with Bell's inequalities and other
conceptual obstacles. Here, it is shown how mappings can be formulated that
relate quantum systems to classical systems. By generalizing these ideas, one
gets quite general models in which quantum mechanics and classical mechanics
can merge. It is helpful to have some good model examples such as string
theory. It is suggested that notions such as 'super determinism' and
'conspiracy' should be looked at much more carefully than in the, by now,
standard arguments.


title:
Density dependence of the symmetry energy from neutron skin thickness in
  finite nuclei

abstract:
  The density dependence of the symmetry energy around saturation density,
characterized by the slope parameter L, is studied using information provided
by the neutron skin thickness in finite nuclei. An estimate for L is obtained
from experimental data on neutron skins extracted from antiprotonic atoms. We
also discuss the ability of parity-violating elastic electron scattering to
obtain information on the neutron skin thickness in 208Pb and to constrain the
density dependence of the nuclear symmetry energy. The size and shape of the
neutron density distribution of 208Pb predicted by mean-field models is briefly
addressed. We conclude with a comparative overview of the L values predicted by
several existing determinations.


title: Sign Stable Projections, Sign Cauchy Projections and Chi-Square Kernels

abstract:
  The method of stable random projections is popular for efficiently computing
the Lp distances in high dimension (where 0<p<=2), using small space. Because
it adopts nonadaptive linear projections, this method is naturally suitable
when the data are collected in a dynamic streaming fashion (i.e., turnstile
data streams). In this paper, we propose to use only the signs of the projected
data and analyze the probability of collision (i.e., when the two signs
differ). We derive a bound of the collision probability which is exact when p=2
and becomes less sharp when p moves away from 2. Interestingly, when p=1 (i.e.,
Cauchy random projections), we show that the probability of collision can be
accurately approximated as functions of the chi-square similarity. For example,
when the (un-normalized) data are binary, the maximum approximation error of
the collision probability is smaller than 0.0192. In text and vision
applications, the chi-square similarity is a popular measure for nonnegative
data when the features are generated from histograms. Our experiments confirm
that the proposed method is promising for large-scale learning applications.


title: Integrable two layer point vortex motion on the half plane

abstract:
  In this paper we derive the equations of motion for two-layer point vortex
motion on the upper half plane. We study the invariants using symmetry,
including the Hamiltonian and show that the two vortex problem is integrable.
We characterize all two vortex motions for the cases where the vortex strengths
are both equal, $\Gamma_{1}=\Gamma_{2}=1$ and when they are opposite
$\Gamma_{1}=-\Gamma_{2}=1$. We also prove that there are no equilibria for the
two vortex problem when $\Gamma_{1}=-\Gamma_{2}=1$.\ We show that there is only
one relative equilibrium configuration when $\Gamma_{1}=\Gamma_{2}=1$ and the
vortices are in different layers. We also make observations concerning the
finite-time collapse of two vortices in the half plane. We then compare the
regimes of motion for both cases (motion on the half plane) with the case of
the two-layer vortex problem on the entire plane. We also study several classes
of streamline topologies for two vortices in different layers. We conclude with
a Hamiltonian study of integrable two-layer 3 vortex motion on the half plane
by studying integrable symmetrical configurations and provide a rich class of
new relative equilibria.


title:
Maintenance-free Operation of WDM Quantum Key Distribution System
  through a Field Fiber over 30 Days

abstract:
  Maintenance-free wavelength-division-multiplexing quantum key distribution
for 30 days was achieved through a 22-km field fiber. Using
polarization-independent interferometers and stabilization techniques, we
attained a quantum bit error rate as low as 1.70% and a key rate as high as
229.8 kbps, making the record of total secure key of 595.6 Gbits accumulated
over an uninterrupted operation period.


title: A look at area Regge calculus

abstract:
  Area Regge calculus is a candidate theory of simplicial gravity, based on the
Regge action with triangle areas as the dynamical variables. It is
characterized by metric discontinuities and vanishing deficit angles. Area
Regge calculus arises in the large-spin limit of the Barrett-Crane spinfoam
model, but not in the newer EPRL/FK model. We address the viability of area
Regge calculus as a discretization of General Relativity. We argue that when
all triangles are spacelike and all tetrahedra have the same signature,
non-trivial solutions of the area calculus are associated with a nonzero Ricci
scalar. Our argument rests on a seemingly natural regularization of the metric
discontinuities. It rules out the Euclidean area calculus, as well as the
Lorentzian sector with all tetrahedra spacelike - the two setups usually
considered in spinfoam models. On the other hand, we argue that the area
calculus has attractive properties from the point of view of finite-region
observables in quantum gravity.


title:
Electronic transmission in Graphene suppressed by interlayer
  interference

abstract:
  We investigate electronic transport property of a graphene monolayer covered
by a graphene nanoribbon. We demonstrate that electronic transmission of a
monolayer can be reduced when covered by a nanoribbon. The transmission
reduction occurs at different energies determined by the width of nanoribbon.
We explain the transmission reduction by using interference between
wavefunctions in the monolayer and the nanoribbon. Furthermore, we show the
transmission reduction of a monolayer is combinable when covered by more than
one nanoribbon and propose a concept of "combination of control" for
nano-application design.


title: New physics in frustrated magnets: Spin ices, monopoles, etc

abstract:
  During recent years the interest to frustrated magnets has grown
considerably. Such systems reveal very peculiar properties which distinguish
them from standard paramagnets, magnetically ordered regular systems (like
ferro-, ferri-, and antiferromagnets), or spin glasses. In particular great
amount of attention has been devoted to the so-called spin ices, in which
magnetic frustration together with the large value of the single-ion magnetic
anisotropy of a special kind, yield peculiar behavior. One of the most exciting
features of spin ices is related to low-energy emergent excitations, which,
from many viewpoints can be considered as analogies of Dirac's monopoles. In
this article we review the main achievements of theory and experiment in this
field of physics.


title: Rank Function Equations and their solution sets

abstract:
  We examine so-called rank function equations and their solutions consisting
of non-nilpotent matrices. Secondly, we present some geometrical properties of
the set of solutions to certain rank function equations in the nilpotent case.


title: On soft linear spaces and soft normed linear spaces

abstract:
  In this paper an idea of soft linear spaces and soft norm on soft linear
spaces are given and some of their properties are studied. Soft vectors in soft
linear spaces are introduced and their properties are studied. Completeness of
soft normed linear space is also studied and equivalent soft norms and convex
soft sets are studied in soft normed linear space settings.


title:
Expectation values of quantum powers < r^a > using quantum defects for
  Li O Na Mg using symbolic Mathematics, and new tools such as Topbase to
  produce quantum defects of these elements

abstract:
  How to use recent symbolic programming language as < Mathematica > to build
good quality programmes that yield valuable data in a short computation time.
It is shown how to build good wave functions for any couple of states (both
having proper quantum defects) a->|nala> and b-> |nblb> for a transition a->b .
The correct normalization of these wave functions |nala > and |nblb > once
obtained, enables the production of atomic useful data : such as line
strengths, or average quantities as < a|r^{a}|a >, < b|r^{a}|b > and < a|r^a|b
> with a values a {-2,-1,0,1,2}.


title: Difficulties of the set of natural numbers

abstract:
  In this article some difficulties are deduced from the set of natural
numbers. By using the method of transfinite recursion we define an iterative
process which is designed to deduct all the non-greatest elements of the set of
natural numbers. But unexpectedly we meet some difficulties in answering the
question of whether the iterative process can deduct all the elements of the
set of natural numbers. The demonstrated difficulties suggest that if we regard
the class of natural numbers as a set we will be confronted with either a
contradiction or a conflict with the axiom of regularity. As a result, we have
the conclusion that the class of natural numbers is not a set but a proper
class.


title: Variable gravity Universe

abstract:
  For variable gravity models the strength of gravity, as measured by Newton's
``constant'' or the Planck mass, depends on the value of a scalar field, the
cosmon. We discuss two simple four-parameter models with a quadratic or
constant cosmon potential. They are compatible with all presently available
cosmological observations, including inflation. The inflaton and the scalar
field of quintessence are the same cosmon field. Dark Energy constitutes a
small, almost constant fraction of the energy density during the radiation and
matter dominated epochs (Early Dark Energy). In the present epoch we witness a
transition to a new Dark Energy dominated epoch. Our models are free of a big
bang singularity. The stability of solutions generates an arrow of time. Our
picture of the Universe is unusual, with a shrinking or static scale factor,
while the masses of particles increase and the size of atoms shrinks. The
evolution of the universe can be very slow for all cosmological epochs
including inflation, with typical time scale $10^{10}$ yr, and in sharp
contrast to the usual big bang picture. The map to the equivalent Einstein
frame with constant particle masses and expanding scale factor can be singular
at the big bang.


title:
Temperature dependence of Andreev spectra in a superconducting carbon
  nanotube quantum dot

abstract:
  Tunneling spectroscopy of a Nb coupled carbon nanotube quantum dot reveals
the formation of pairs of Andreev bound states (ABS) within the superconducting
gap. A weak replica of the lower ABS is found, which is generated by
quasi-particle tunnelling from the ABS to the Al tunnel probe. An inversion of
the ABS-dispersion is observed at elevated temperatures, which signals the
thermal occupation of the upper ABS. Our experimental findings are well
supported by model calculations based on the superconducting Anderson model.


title: Exotic Higgs decays in the E6 inspired SUSY models

abstract:
  We study the decays of the SM-like Higgs state within the E6 inspired
supersymmetric (SUSY) models with exact custodial symmetry that forbids
tree-level flavor-changing transitions and the most dangerous baryon and lepton
number violating operators. In these models there are two states which are
absolutely stable and can contribute to the dark matter density. One of them is
the lightest SUSY particle (LSP) which is expected to be lighter than 1 eV
forming hot dark matter in the Universe. The presence of another stable neutral
state allows to account for the observed cold dark matter density. In the
considered SUSY models next-to-lightest SUSY particle (NLSP) also tend to be
light. We argue that the NLSP with GeV scale mass can result in the substantial
branching ratio of the nonstadard decays of the lightest Higgs boson.


title: Th\'eor\`eme de Chebotarev et complexit\'e de Littlewood

abstract:
  The effective version of Chebotarev's density theorem under the Generalized
Riemann Hypothesis and the Artin conjecture (cf. Iwaniec and Kowalski's
Analytic Number Theory, 5.13) involves a numerical invariant of a subset $D$ of
a finite group $G$ that we call the Littlewood Complexity of $D$. We study this
invariant in detail. Using this study, and a new application of the large
sieve, we give improved versions of two standard questions related to
Chebotarev: the bound on the first prime in a Frobenian set, and the asymptotic
of the set of primes with given Frobenius in an infinite Galois extension. We
then give concrete applications to various problems in number theory, such as
the first primitive root modulo a prime $\ell$, the factorization of an
integral polynomial modulo primes, the Lang-Trotter conjecture and its
generalizations, and Serre's uniformity conjecture.


title: On the asymptotics of Ajtai-Koml\'os-Tusn\'ady statistics

abstract:
  In our days there is a widespread analysis of Wasserstein distances between
theoretical and empirical measures. One of the first investigation of the topic
is given in the paper written by Ajtai, Koml\'os and Tusn\'ady in $1984.$
  Interestingly, all the neighboring questions posed by that paper were settled
already without the original one. In this paper we are going to delineate the
limit behavior of the original statistics with the help of computer
simulations. At the same time we kept an eye on theoretical grasping of the
problem. Based on our computer simulations our opinion is that the limit
distribution is Gaussian.


title:
A first-principles study of structural and elastic properties of bulk
  SrRuO$_3$

abstract:
  We present a first-principles investigation of structural and elastic
properties of experimentally observed phases of bulk SrRuO$_3$ - namely
orthorhombic, tetragonal, and cubic - by applying density functional theory
(DFT) approximations. At first, we focus our attention on the accuracy of
calculated lattice constants in order to find out DFT approaches that best
represent the crystalline structure of SrRuO$_3$, since many important physical
quantities crucially depend on change in volume. Next, we evaluate
single-crystal elastic constants, mechanical stability, and macroscopic elastic
parameters trying to at least partially compensate for the existing lack of
information about these fundamental features of SrRuO$_3$. Finally, we analyze
the anomalous behavior of low-temperature orthorhombic phase under $C_{44}$
related shear deformation. It turns out that at critical strain values the
system exhibits a distinct deviation from the initial behavior which results in
an isosymmetric phase transition. Moreover, under $C_{44}$ related shear
deformation tetragonal SrRuO3 becomes mechanically unstable raising an open
question of what makes it experimentally observable at high temperatures.


title:
Bohr Hamiltonian with deformation-dependent mass term for the Kratzer
  potential

abstract:
  The Deformation Dependent Mass (DDM) Kratzer model is constructed by
considering the Kratzer potential in a Bohr Hamiltonian, in which the mass is
allowed to depend on the nuclear deformation, and solving it by using
techniques of supersymmetric quantum mechanics (SUSYQM), involving a deformed
shape invariance condition. Analytical expressions for spectra and wave
functions are derived for separable potentials in the cases of gamma-unstable
nuclei, axially symmetric prolate deformed nuclei, and triaxial nuclei,
implementing the usual approximations in each case. Spectra and B(E2)
transition rates are compared to experimental data. The dependence of the mass
on the deformation, dictated by SUSYQM for the potential used, moderates the
increase of the moment of inertia with deformation, removing a main drawback of
the model.


title:
Axisymmetry vs. nonaxisymmetry of a Taylor-Couette flow with azimuthal
  magnetic fields

abstract:
  The instability of a supercritical Taylor-Couette flow of a conducting fluid
with resting outer cylinder under the influence of a uniform axial electric
current is investigated for magnetic Prandtl number Pm=1. In the linear theory
the critical Reynolds number for axisymmetric perturbations is not influenced
by the current-induced axisymmetric magnetic field but all axisymmetric
magnetic perturbations decay. The nonaxisymmetric perturbations with m=1 are
excited even without rotation for large enough Hartmann numbers ("Tayler
instability"). For slow rotation their growth rates scale with the Alfv\'en
frequency of the magnetic field but for fast rotation they scale with the
rotation rate of the inner cylinder. In the nonlinear regime the ratio of the
energy of the magnetic m=1 modes and the toroidal background field is very low
for the non-rotating Tayler instability but it strongly grows if differential
rotation is present. For super-Alfv\'enic rotation the energies in the m=1
modes of flow and field do not depend on the molecular viscosity, they are
almost in equipartition and contain only 1.5% of the centrifugal energy of the
inner cylinder. The geometry of the excited magnetic field pattern is strictly
nonaxisymmetric for slow rotation but it is of the mixed-mode type for fast
rotation -- contrary to the situation which has been observed at the surface of
Ap stars.


title: Laplace operators on Sasaki-Einstein manifolds

abstract:
  We decompose the de Rham Laplacian on Sasaki-Einstein manifolds as a sum over
mostly positive definite terms. An immediate consequence are lower bounds on
its spectrum. These bounds constitute a supergravity equivalent of the
unitarity bounds in dual superconformal field theories. The proof uses a
generalization of Kahler identities to the Sasaki-Einstein case.


title:
Proceedings of the 4th International Conference on Collaborative
  Innovation Networks COINs13, Santiago de Chile, August 11-13, 2013

abstract:
  Where science, design, business and art meet, COINs13 looks at the emerging
forces behind the phenomena of open-source, creative, entrepreneurial and
social movements. COINs13 combines a wide range of interdisciplinary fields
such as social network analysis, group dynamics, design and visualization,
information systems, collective action and the psychology and sociality of
collaboration. The COINs13 conference theme is Learning from the Swarm. The
papers in this volume explore what is relevant with regard to the innovative
powers of creative and civic swarms, what are the observable qualities of
virtual collaboration and mobilization, and how does the quest for global
cooperation affect local networks.


title: The Physics of Neutrinos

abstract:
  These lecture notes are based on a course given at Institut de Physique
Th\'eorique of CEA/Saclay in January/February 2013.


title: Rethinking hydrogen-bond kinetics

abstract:
  At the fundamental level, our understanding of water hydrogen-bond dynamics
has been largely built on the detailed analysis of classical molecular
simulations. The latter served to develop a plethora of hydrogen bond
definitions based on different properties, including geometrical distances,
topology and energetics. Notwithstanding, no real consensus emerged from these
approaches, making the development of a consistent and reliable definition
elusive. In this contribution, a framework to study hydrogen bonds in liquid
water based purely on kinetics is presented. This approach makes use of the
analysis of commitment probabilities without relying on arbitrarily chosen
order parameters and cutoffs. Our results provide evidence for a
self-consistent description, resulting in a clear multi-exponential behavior of
the kinetics.


title: Nephele Streaming: Stream Processing Under QoS Constraints At Scale

abstract:
  The ability to process large numbers of continuous data streams in a
near-real-time fashion has become a crucial prerequisite for many scientific
and industrial use cases in recent years. While the individual data streams are
usually trivial to process, their aggregated data volumes easily exceed the
scalability of traditional stream processing systems. At the same time,
massively-parallel data processing systems like MapReduce or Dryad currently
enjoy a tremendous popularity for data-intensive applications and have proven
to scale to large numbers of nodes. Many of these systems also provide
streaming capabilities. However, unlike traditional stream processors, these
systems have disregarded QoS requirements of prospective stream processing
applications so far. In this paper we address this gap. First, we analyze
common design principles of today's parallel data processing frameworks and
identify those principles that provide degrees of freedom in trading off the
QoS goals latency and throughput. Second, we propose a highly distributed
scheme which allows these frameworks to detect violations of user-defined QoS
constraints and optimize the job execution without manual interaction. As a
proof of concept, we implemented our approach for our massively-parallel data
processing framework Nephele and evaluated its effectiveness through a
comparison with Hadoop Online. For an example streaming application from the
multimedia domain running on a cluster of 200 nodes, our approach improves the
processing latency by a factor of at least 13 while preserving high data
throughput when needed.


title: Collective pairing of resonantly coupled microcavity polaritons

abstract:
  We consider the possible phases of microcavity polaritons tuned near a
bipolariton Feshbach resonance. We show that, as well as the regular polariton
superfluid phase, a "molecular" superfluid exists, with (quasi-)long-range
order only for pairs of polaritons. We describe the experimental signatures of
this state. Using variational approaches we find the phase diagram (critical
temperature, density and exciton-photon detuning). Unlike ultracold atoms, the
molecular superfluid is not inherently unstable, and our phase diagram suggests
it is attainable in current experiments.


title:
Entropy, Disequilibrium and Complexity in Compact Stars: An information
  theory approach to understand their Composition

abstract:
  The composition of neutron stars is an issue that has been studied for
decades. Yet we do not know exactly what these very compact objects are made
of. At this stage of the technological development the best we can do is to
constrain the range of equations of state via the mass-radius diagram. From the
theoretical point of view the things are not easier. The theory of matter at
high density and temperature is not well established.
  Keeping this in mind we applied the Information Theory as a novel way to
restrict the range of possible equations of state for neutron stars.
  From our results, we conclude that if order costs energy, then nature should
favour exotic strange quark stars over the hadronic neutron stars and that
there is a trend for the types of compact stars of classified under the
nomenclature "neutrons stars" to be at a state of minimum complexity.


title: Term Graph Representations for Cyclic Lambda-Terms

abstract:
  We study various representations for cyclic lambda-terms as higher-order or
as first-order term graphs. We focus on the relation between
`lambda-higher-order term graphs' (lambda-ho-term-graphs), which are
first-order term graphs endowed with a well-behaved scope function, and their
representations as `lambda-term-graphs', which are plain first-order term
graphs with scope-delimiter vertices that meet certain scoping requirements.
Specifically we tackle the question: Which class of first-order term graphs
admits a faithful embedding of lambda-ho-term-graphs in the sense that: (i) the
homomorphism-based sharing-order on lambda-ho-term-graphs is preserved and
reflected, and (ii) the image of the embedding corresponds closely to a natural
class (of lambda-term-graphs) that is closed under homomorphism?
  We systematically examine whether a number of classes of lambda-term-graphs
have this property, and we find a particular class of lambda-term-graphs that
satisfies this criterion. Term graphs of this class are built from application,
abstraction, variable, and scope-delimiter vertices, and have the
characteristic feature that the latter two kinds of vertices have back-links to
the corresponding abstraction.
  This result puts a handle on the concept of subterm sharing for higher-order
term graphs, both theoretically and algorithmically: We obtain an easily
implementable method for obtaining the maximally shared form of
lambda-ho-term-graphs. Also, we open up the possibility to pull back properties
from first-order term graphs to lambda-ho-term-graphs. In fact we prove this
for the property of the sharing-order successors of a given term graph to be a
complete lattice with respect to the sharing order.
  This report extends the paper with the same title
(http://arxiv.org/abs/1302.6338v1) in the proceedings of the workshop TERMGRAPH
2013.


title: On an elliptic extension of the Kadomtsev-Petviashvili equation

abstract:
  A generalisation of the Lattice Potential Kadomtsev-Petviashvili (LPKP)
equation is presented, using the method of Direct Linearisation based on an
elliptic Cauchy kernel. This yields a (3+1)-dimensional lattice system with one
of the lattice shifts singled out. The integrability of the lattice system is
considered, presenting a Lax representation and soliton solutions. An
associated continuous system is also derived, yielding a (3+1)-dimensional
generalisation of the potential KP equation associated with an elliptic curve.


title: Extensive [CI] Mapping toward the Orion-A Molecular Cloud

abstract:
  We have carried out wide-field (0.17 degree^2) and high-angular resolution
(21.3 arcsec ~ 0.04 pc) observations in [CI] line toward the Orion-A giant
molecular cloud with the Atacama Submillimeter Telescope Experiment (ASTE) 10 m
telescope in the On-The-Fly (OTF) mode. Overall features of the [CI] emission
are similar to those of the CO (1--0) emission in Shimajiri et al. (2011); the
total intensity ratio of the [CI] to CO emission ranges from 0.05 to 0.2. The
optical depth of the [CI] emission is found to be 0.1 -- 0.75, suggesting
optically thin emission. The column density of the [CI] emission is estimated
to be (1.0 -- 19) x 10^17 cm^-2. These results are consistent with the results
of the previous [CI] observations with a low-angular resolution of 2.2 arcmin
(e.g. Ikeda et al. 1999). In the nearly edge-on PDRs and their candidates of
the Orion Bar, DLSF, M 43 Shell, and Region D, the distributions of the [CI]
emission coincide with those of the CO emission, inconsistent with the
prediction by the plane-parallel PDR model (Hollenbach & Tielens 1999). In
addition, the [CI] distribution in the Orion A cloud is found to be more
similar to those of the ^{13}CO (1--0), C^{18}O (1--0), and H^{13}CO^+ (1--0)
lines than that of the CO (1--0) line, suggesting that the [CI] emission is not
limited to the cloud surface, but is tracing the dense, inner parts of the
cloud.


title:
Zagier duality and integrality for Fourier coefficients for weakly
  holomorphic modular forms

abstract:
  In this note, we generalize the isomorphisms to the case when the
discriminant form is not necessarily induced from real quadratic fields. In
particular, this general setting includes all the subspaces with
epsilon-conditions, only two spacial cases of which were treated before. With
this established, we shall prove the Zagier duality for canonical bases.
Finally, we raise a question on the integrality of the Fourier coefficients of
these bases elements, or equivalently we concern the existence of a Miller-like
basis for vector valued modular forms.


title: Two functions on Sp(g,R)

abstract:
  We consider two functions on Sp(g,R) with values in the cyclic group of order
four {1,-1,i,-i}. One was defined by Lion and Vergne. The other is -i raised to
the power given by an integer valued function defined by Masbaum and the author
(initially on the mapping class group of a surface). We identify these
functions when restricted to Sp(g,Z). We conjecture the identity of these
functions on Sp(g,R).


title: A characterization of root classes of groups

abstract:
  A class of groups C is root in a sense of K. W. Gruenberg if it is closed
under taking subgroups and satisfies the Gruenberg condition: for any group X
and for any subnormal sequence Z \leqslant Y \leqslant X with factors in C,
there exists a normal subgroup T of X such that T \leqslant Z and X/T \in C. We
prove that a class of groups is root if, and only if, it is closed under
subgroups and Cartesian wreath products. Using this result we prove also that,
if C is a nontrivial root class of groups closed under taking quotient groups
and G = <A*B; H=K, \varphi> is the generalized free product of two nilpotent
C-groups A and B possessing \varphi-compartible central series, then G is
residually a solvable C-group.


title:
Physics picture from neutron scattering study on Fe-based
  superconductors

abstract:
  Neutron scattering, with its ability to measure the crystal structure, the
magnetic order, and the structural and magnetic excitations, plays an active
role in investigating various families of Fe-based high-Tc superconductors.
Three different types of antiferromag- netic orders have been discovered in the
Fe plane, but two of them cannot be explained by the spin-density-wave (SDW)
mechanism of nesting Fermi surfaces. Noticing the close relation between
antiferromagnetic order and lattice distortion in orbital ordering from
previous studies on manganites and other oxides, we have advocated orbital or-
dering as the underlying common mechanism for the structural and
antiferromagnetic transitions in the 1111, 122 and 11 parent compounds. We
observe the coexistence of antiferromagnetic order and superconductivity in the
(Ba,K)Fe2 As2 system, when its phase separation is generally accepted. Optimal
Tc is proposed to be controlled by the local FeAs4 tetrahedron from our
investigation on the 1111 materials. The Bloch phase coherence of the Fermi
liquid is found crucial to the occurrence of bulk superconductiv- ity in iron
chalcogenides of both the 11 and the 245 families. Iron chalcogenides carry a
larger staggered magnetic moment (> 2{\mu}B /Fe) than that in iron pnictides (<
1{\mu}B /Fe) in the antiferromagnetic order. Normal state magnetic excitations
in the 11 supercon- ductor are of the itinerant nature while in the 245
superconductor the spin-waves of localized moments. The observation of
superconducting resonance peak provides a cru- cial piece of information in
current deliberation of the pairing symmetry in Fe-based superconductors.


title: Traversals of Infinite Graphs with Random Local Orientations

abstract:
  We introduce the notion of a "random basic walk" on an infinite graph, give
numerous examples, list potential applications, and provide detailed
comparisons between the random basic walk and existing generalizations of
simple random walks. We define analogues in the setting of random basic walks
of the notions of recurrence and transience in the theory of simple random
walks, and we study the question of which graphs have a cycling random basic
walk and which a transient random basic walk.
  We prove that cycles of arbitrary length are possible in any regular graph,
but that they are unlikely. We give upper bounds on the expected number of
vertices a random basic walk will visit on the infinite graphs studied and on
their finite analogues of sufficiently large size. We then study random basic
walks on complete graphs, and prove that the class of complete graphs has
random basic walks asymptotically visit a constant fraction of the nodes. We
end with numerous conjectures and problems for future study, as well as ideas
for how to approach these problems.


title:
Beyond Gamification: Implications of Purposeful Games for the
  Information Systems Discipline

abstract:
  Gamification is an emerging design principle for information systems where
game design elements are applied to non-game contexts. IS researchers have
suggested that the IS discipline must study this area but there are other
applications such as serious games, and simulations that also use games in
non-game contexts. Specifically, the management field has been using games and
simulations for years and these applications are now being supported by
information systems. We propose in this paper that we must think beyond
gamification, towards other uses of games in non-gaming contexts, which we call
purposeful gaming.
  In this paper we identify how the IS discipline can adapt to purposeful
gaming. Specifically, we show how IT artifacts, IS design, and IS theories can
be used in the purposeful gaming area. We also provide three conceptual
dimensions of purposeful gaming that can aid IS practitioners and researchers
to classify and understand purposeful games.


title: Decoherence in a Pair of Long-Lived Cooper-Pair Boxes

abstract:
  We have investigated the decoherence of quantum states in two Al/AlOx/Al
Cooper-pair boxes coupled to lumped element superconducting LC resonators. At
25 mK, the first qubit had an energy relaxation time T1 that varied from 30 us
to 200 us between 4 and 8 GHz and displayed an inverse correlation between T1
and the coupling to the microwave drive line. The Ramsey fringe decay times T2*
were in the 200-500 ns range while the spin echo envelope decay times Techo
varied from 2.4-3.3 us, consistent with 1/f charge noise with a high frequency
cutoff of 0.2 MHz. A second Cooper-pair box qubit with similar parameters
showed T1=4-30 us between 4-7.3 GHz, and that the T1 and the coupling were
again inversely correlated. Although the lifetime of the second device was
shorter than that of the first device, the dependence on coupling in both
devices suggests that further reduction in coupling should lead to improved
qubit performance.


title:
Controlling composition factors of a finite group by its character
  degree ratio

abstract:
  For a finite nonabelian group $G$ let $\rat(G)$ be the largest ratio of
degrees of two nonlinear irreducible characters of $G$. We show that nonabelian
composition factors of $G$ are controlled by $\rat(G)$ in some sense.
Specifically, if $S$ different from the simple linear groups $\PSL_2(q)$ is a
nonabelian composition factor of $G$, then the order of $S$ and the number of
composition factors of $G$ isomorphic to $S$ are both bounded in terms of
$\rat(G)$. Furthermore, when the groups $\PSL_2(q)$ are not composition factors
of $G$, we prove that $|G:\Oinfty(G)|\leq \rat(G)^{21}$ where $\Oinfty(G)$
denotes the solvable radical of $G$.


title: Navier-Stokes equations on a rapidly rotating sphere

abstract:
  We extend our earlier \beta-plane results [al-Jaboori and Wirosoetisno, 2011,
DCDS-B 16:687--701] to a rotating sphere. Specifically, we show that the
solution of the Navier--Stokes equations on a sphere rotating with angular
velocity 1/\epsilon\ becomes zonal in the long time limit, in the sense that
the non-zonal component of the energy becomes bounded by \epsilon M. We also
show that the global attractor reduces to a single stable steady state when the
rotation is fast enough.


title: Second Order Symmetries of the Conformal Laplacian

abstract:
  Let (M,g) be an arbitrary pseudo-Riemannian manifold of dimension at least 3.
We determine the form of all the conformal symmetries of the conformal (or
Yamabe) Laplacian on (M,g), which are given by differential operators of second
order. They are constructed from conformal Killing 2-tensors satisfying a
natural and conformally invariant condition. As a consequence, we get also the
classification of the second order symmetries of the conformal Laplacian. Our
results generalize the ones of Eastwood and Carter, which hold on conformally
flat and Einstein manifolds respectively. We illustrate our results on two
families of examples in dimension three.


title:
Study of Nuclear Effects in the Computation of the 0{\nu}{\beta}{\beta}
  Decay Matrix Elements

abstract:
  We analyse the effects that different nuclear structure approximations
associated with the short range correlations (SRC), finite nucleon size (FNS),
higher order terms in the nucleon currents (HOC) and with some nuclear input
parameters, have on the values of the nuclear matrix elements (NMEs) for the
neutrinoless double beta (0{\nu}{\beta}{\beta}) decay. The calculations are
performed with a new Shell Model(ShM) code which allows a fast computation of
the two-body matrix elements of the transition operators. The treatment of SRC,
FNS and HOC and include the use of quenched or unquenched values for the axial
vector coupling constant produce the most important effects on the NMEs values.
Equivalent effects of some of these approximations are also possible, which may
lead (accidentally) to close final results. We found that the cummulative
effect of all these nuclear ingredients on the calculated nuclear matrix
elements NMEs is significant. Since the NMEs values are often obtained with
different approximations and/or with different input parameters, a convergent
view point on their inclusion/neglection and an uniformization of the
calculations are needed, in order to enter in an era of precision concerning
the computation of the NMEs for double beta deacay.


title:
Measurement of the flavour-specific CP-violating asymmetry $a_{\rm
  sl}^s$ in $B_s^0$ decays

abstract:
  The CP-violating asymmetry a_{sl}^s is studied using semileptonic decays of
Bs and anti-Bs mesons produced in pp collisions at a centre-of-mass energy of 7
TeV at the LHC, exploiting a data sample corresponding to an integrated
luminosity of 1.0/fb. The reconstructed final states are Ds^(+/-)\mu ^(-/+),
with the Ds^(+/-) particle decaying in the \phi\pi^(+/-) mode. The Ds^(+/-)\mu
^{-/+) yields are summed over Bs and anti-Bs initial states, and integrated
with respect to decay time. Data-driven methods are used to measure efficiency
ratios. We obtain $a_{sl}^s$ = (-0.06 +/- 0.50 +/- 0.36)%, where the first
uncertainty is statistical and the second systematic.


title: Coevolutionary networks of reinforcement-learning agents

abstract:
  This paper presents a model of network formation in repeated games where the
players adapt their strategies and network ties simultaneously using a simple
reinforcement-learning scheme. It is demonstrated that the coevolutionary
dynamics of such systems can be described via coupled replicator equations. We
provide a comprehensive analysis for three-player two-action games, which is
the minimum system size with nontrivial structural dynamics. In particular, we
characterize the Nash equilibria (NE) in such games and examine the local
stability of the rest points corresponding to those equilibria. We also study
general n-player networks via both simulations and analytical methods and find
that in the absence of exploration, the stable equilibria consist of star
motifs as the main building blocks of the network. Furthermore, in all stable
equilibria the agents play pure strategies, even when the game allows mixed NE.
Finally, we study the impact of exploration on learning outcomes, and observe
that there is a critical exploration rate above which the symmetric and
uniformly connected network topology becomes stable.


title:
Modeling of temperature and excitation dependences of efficiency in an
  InGaN light-emitting diode

abstract:
  The changes in excitation dependence of efficiency with temperature is
modeled for a wurtzite InGaN light-emitting diode. The model incorporates
bandstructure changes with carrier density arising from screening of
quantum-confined Stark effect. Bandstructure is computed by solving Poisson and
k.p equations in the envelop approximation. The information is used in a
dynamical model for populations in momentum-resolved electron and hole states.
Application of the approach shows the interplay of quantum-well and barrier
emissions giving rise to shape changes in efficiency versus current density
with changing temperature, as observed in some experiments.


title: Euler's equations and the maximum principle

abstract:
  In this paper we use maximum principle in the far field region for the time
dependent self-similar Euler equations to exclude discretely self-similar
blow-up for the Euler equations of the incompressible fluid flows. Our decay
conditions near spatial infinity of the blow-up profile are given explicitly in
terms the coefficient in the equations. We also deduce triviality of the
discretely self-similar solution to the magnetohydrodynamic system(MHD), under
suitable decay conditions near spatial infinity than the previous one. Applying
similar argument directly to the Euler equations, we obtain a priori estimate
of the vorticity in the far field region.


title:
Formulation of singular theories in a partial Hamiltonian formalism
  using a new bracket and multi-time dynamics

abstract:
  A formulation of singular classical theories (determined by degenerate
Lagrangians) without constraints is presented. A partial Hamiltonian formalism
in the phase space having an initially arbitrary number of momenta (which can
be smaller than the number of velocities) is proposed. The equations of motion
become first-order differential equations, and they coincide with those of
multi-time dynamics, if a certain condition is imposed. In a singular theory,
this condition is fulfilled in the case of the coincidence of the number of
generalized momenta with the rank of the Hessian matrix. The noncanonical
generalized velocities satisfy a system of linear algebraic equations, which
allows an appropriate classification of singular theories (gauge and nongauge).
A new antisymmetric bracket (similar to the Poisson bracket) is introduced,
which describes the time evolution of physical quantities in a singular theory.
The origin of constraints is shown to be a consequence of the (unneeded in our
formulation) extension of the phase space. In this case the new bracket
transforms into the Dirac bracket. Quantization is briefly discussed.


title:
Spatial extension of excitons in triphenylene based polymers given by
  range-separated functionals

abstract:
  Motivated by an experiment in which the singlet-triplet gap in triphenylene
based copolymers was effectively tuned, we used time dependent density
functional theory (TDDFT) to reproduce the main results. By means of
conventional and long-range corrected exchange correlation functionals, the
luminescence energies and the exciton localization were calculated for a
triphenylene homopolymer and several different copolymers. The phosphorescence
energy of the pure triphenylene chain is predicted accurately by means of the
optimally tuned long-range corrected LC-PBE functional and slightly less
accurate by the global hybrid B3LYP. However, the experimentally observed fixed
phosphorescence energy could not be reproduced because the localization pattern
is different to the expectations: Instead of localizing on the triphenylene
moiety - which is present in all types of polymers - the triplet state
localizes on the different bridging units in the TDDFT calculations. This leads
to different triplet emission energies for each type of polymer. Yet, there are
clear indications that long-range corrected TDDFT has the potential to predict
the triplet emission energies as well as the localization behavior more
accurate than conventional local or semi-local functionals.


title: Thermodynamics of a charged hairy black hole in (2+1) dimensions

abstract:
  In this paper we study thermodynamics, statistics and spectroscopic aspects
of a charged black hole with a scalar hair coupled to the gravity in (2+1)
dimensions. We obtained effects of the black hole charge and scalar field on
the thermodynamical and statistical quantities. We find that scalar charge may
increase entropy, temperature and probability, while may decrease black hole
mass, free and internal energy. Also electric charge increases probability and
decreases temperature and internal energy. Also we investigate stability of the
system and find that the thermodynamical stability exists.


title: The Two-Loop Infrared Structure of Amplitudes with Mixed Gauge Groups

abstract:
  The infrared structure of (multi-loop) scattering amplitudes is determined
entirely by the identities of the external particles participating in the
scattering. The two-loop infrared structure of pure \qcd\ amplitudes has been
known for some time. By computing the two-loop amplitudes for
$\bar{f}\,f\longrightarrow X$ and $\bar{f}\,f\longrightarrow V_1\,V_2$
scattering in an $SU(N)\times SU(M)\times U(1)$ gauge theory, I determine the
anomalous dimensions which govern the infrared structure for any massless
two-loop amplitude.


title:
A Gap between Simulation and Practice for Recursive Filters: On the
  State Transition Noise

abstract:
  In order to evaluate and compare different recursive filters, simulation is a
common tool and numerous simulation models are widely used as 'benchmark'. In
the simulation, the continuous time dynamic system is converted into a
discrete-time recursive system. As a result of this, the state indeed evolves
by Markov transitions in the simulation rather than in continuous time. One
significant issue involved with modeling of the system from practice to
simulation is that the simulation parameter, particularly e.g. the state Markov
transition noise, needs to match the iteration period of the filter. Otherwise,
the simulation performance may be far from the truth. Unfortunately, quite
commonly different-speed filters are evaluated and compared under the same
simulation model with the same state transition noise for simplicity regardless
of their real sampling periods. Here the note primarily aims at clarifying this
problem and point out that it is very necessary to use a proper simulation
noise that matches the filter's speed for evaluation and comparison under the
same simulation model.


title:
Universality of local eigenvalue statistics in random matrices with
  external source

abstract:
  Consider a random matrix of the form $W_n = M_n + D_n$, where $M_n$ is a
Wigner matrix and $D_n$ is a real deterministic diagonal matrix ($D_n$ is
commonly referred to as an external source in the mathematical physics
literature). We study the universality of the local eigenvalue statistics of
$W_n$ for a general class of Wigner matrices $M_n$ and diagonal matrices $D_n$.
Unlike the setting of many recent results concerning universality, the global
semicircle law fails for this model. However, we can still obtain the universal
sine kernel formula for the correlation functions. This demonstrates the
remarkable phenomenon that local laws are more resilient than global ones. The
universality of the correlation functions follows from a four moment theorem,
which we prove using a variant of the approach used earlier by Tao and Vu.


title:
Revisiting linear dynamics of non-axisymmetric perturbations in weakly
  magnetized accretion discs

abstract:
  We investigate linear dynamics of non-axisymmetric perturbations in
incompressible, vertically stratified Keplerian discs with a weak vertical
magnetic field in the shearing box approximation. Perturbations are decomposed
into shearing waves whose evolution is followed via numerical integration of
the linearized ideal MHD equations. There are two basic modes in the system --
inertia-gravity waves and magnetic mode, which displays the magnetorotational
instability (MRI). As distinct from previous studies, we introduce
`eigenvariables' characterizing each (counter-propagating) component of the
inertia-gravity and magnetic modes, which are governed by a set of four first
order coupled ordinary differential equations. This allowed us to identify a
new process of linear coupling of the two above non-axisymmetric modes due to
the disc's differential rotation. We did a comparative analysis of the dynamics
of non-axisymmetric and axisymmetric magnetic mode perturbations. It is shown
that the growth of optimal and close-to-optimal non-axisymmetric harmonics of
this mode, having transient nature, can prevail over the exponential growth of
axisymmetric ones (i.e., over the axisymmetric MRI) during dynamical time. A
possible implication of this result for axisymmetric channel solutions is
discussed. Specifically, the formation of the channel may be affected/impeded
by non-axisymmetric modes already at the early linear stage leading to its
untimely disruption -- the outcome strongly depends on the amplitude and
spectrum of initial perturbation. So, this competition may result in an
uncertainty in the magnetic mode's non-linear dynamics. It is also shown that a
maximum non-axisymmetric growth is at vertical wavelengths close to the
scale-height for which compressibility effects are important. This indirectly
suggests that compressibility plays a role in the dynamics of the
non-axisymmetric MRI.


title: Lie rank in groups of finite Morley rank with solvable local subgroups

abstract:
  We prove a general dichotomy theorem for groups of finite Morley rank with
solvable local subgroups and of Pr\"ufer p-rank at least 2, leading either to
some p-strong embedding, or to the Pr\"ufer p-rank being exactly 2.


title: On the long time behavior of stochastic vortices systems

abstract:
  In this paper, we are interested in the long-time behaviour of stochastic
systems of n interacting vortices: the position in R2 of each vortex evolves
according to a Brownian motion and a drift summing the influences of the other
vortices computed through the Biot and Savart kernel and multiplied by their
respective vorticities. For fixed n, we perform the rescalings of time and
space used successfully by Gallay and Wayne [5] to study the long-time
behaviour of the vorticity formulation of the two dimensional incompressible
Navier-Stokes equation, which is the limit as n $\rightarrow$ $\infty$ of the
weighted empirical measure of the system under mean-field interaction. When all
the vorticities share the same sign, the 2n-dimensional process of the rescaled
positions of the vortices is shown to converge exponentially fast as time goes
to infinity to some invariant measure which turns out to be Gaussian if all the
vorticities are equal. In the particular case n = 2 of two vortices, we prove
exponential convergence in law of the 4-dimensional process to an explicit
random variable, whatever the choice of the two vorticities. We show that this
limit law is not Gaussian when the two vorticities are not equal.


title:
Functional properties of H\"ormander's space of distributions having a
  specified wavefront set

abstract:
  The space $D'_\Gamma$ of distributions having their wavefront sets in a
closed cone $\Gamma$ has become important in physics because of its role in the
formulation of quantum field theory in curved space time. In this paper, the
topological and bornological properties of $D'_\Gamma$ and its dual
$E'_\Lambda$ are investigated. It is found that $D'_\Gamma$ is a nuclear,
semi-reflexive and semi-Montel complete normal space of distributions. Its
strong dual $E'_\Lambda$ is a nuclear, barrelled and bornological normal space
of distributions which, however, is not even sequentially complete. Concrete
rules are given to determine whether a distribution belongs to $D'_\Gamma$,
whether a sequence converges in $D'_\Gamma$ and whether a set of distributions
is bounded in $D'_\Gamma$.


title:
Recursion relations and scattering amplitudes in the light-front
  formalism

abstract:
  The fragmentation functions and scattering amplitudes are investigated in the
framework of light-front perturbation theory. It is demonstrated that, the
factorization property of the fragmentation functions implies the recursion
relations for the off-shell scattering amplitudes which are light-front analogs
of the Berends-Giele relations. These recursion relations on the light-front
can be solved exactly by induction and it is shown that the expressions for the
off-shell light-front amplitudes are represented as a linear combinations of
the on-shell amplitudes. By putting external particles on-shell we recover the
scattering amplitudes previously derived in the literature.


title: Functional Mellin Transforms

abstract:
  Functional integrals are defined in terms of locally compact topological
groups and their associated Banach-valued Haar integrals. This approach
generalizes the functional integral scheme of Cartier and DeWitt-Morette. The
definition allows a construction of functional Mellin transforms. In turn, the
functional Mellin transforms can be used to define functional traces,
logarithms, and determinants. The associated functional integrals are useful
tools for probing function spaces in general and $C^\ast$-algebras in
particular. Several interesting aspects are explored.


title:
Stability of symmetric vortices for two-component Ginzburg-Landau
  systems

abstract:
  We study Ginzburg-Landau equations for a complex vector order parameter. We
consider the Dirichlet problem in the disk in the plane with a symmetric,
degree-one boundary condition, and study its stability, in the sense of the
spectrum of the second variation of the energy. We find that the stability of
the degree-one equivariant solution depends on both the Ginzburg-Landau
parameter as well as the sign of the interaction term in the energy.


title: Multi-Time Schr\"odinger Equations Cannot Contain Interaction Potentials

abstract:
  Multi-time wave functions are wave functions that have a time variable for
every particle, such as $\phi(t_1,x_1,\ldots,t_N,x_N)$. They arise as a
relativistic analog of the wave functions of quantum mechanics but can be
applied also in quantum field theory. The evolution of a wave function with N
time variables is governed by N Schr\"odinger equations, one for each time
variable. These Schr\"odinger equations can be inconsistent with each other,
i.e., they can fail to possess a joint solution for every initial condition; in
fact, the N Hamiltonians need to satisfy a certain commutator condition in
order to be consistent. While this condition is automatically satisfied for
non-interacting particles, it is a challenge to set up consistent multi-time
equations with interaction. We prove for a wide class of multi-time
Schr\"odinger equations that the presence of interaction potentials (given by
multiplication operators) leads to inconsistency. We conclude that interaction
has to be implemented instead by creation and annihilation of particles, which,
in fact, can be done consistently, as we show elsewhere [17]. We also prove the
following result: When a cut-off length $\delta>0$ is introduced (in the sense
that the multi-time wave function is defined only on a certain set of spacelike
configurations, thereby breaking Lorentz invariance), then the multi-time
Schr\"odinger equations with interaction potentials of range $\delta$ are
consistent; however, in the desired limit $\delta\to 0$ of removing the
cut-off, the resulting multi-time equations are interaction-free, which
supports the conclusion expressed in the title.


title: Theoretical Issues for Global Cumulative Treatment Analysis (GCTA)

abstract:
  Adaptive trials are now mainstream science. Recently, researchers have taken
the adaptive trial concept to its natural conclusion, proposing what we call
"Global Cumulative Treatment Analysis" (GCTA). Similar to the adaptive trial,
decision making and data collection and analysis in the GCTA are continuous and
integrated, and treatments are ranked in accord with the statistics of this
information, combined with what offers the most information gain. Where GCTA
differs from an adaptive trial, or, for that matter, from any trial design, is
that all patients are implicitly participants in the GCTA process, regardless
of whether they are formally enrolled in a trial. This paper discusses some of
the theoretical and practical issues that arise in the design of a GCTA, along
with some preliminary thoughts on how they might be approached.


title:
Harnack Inequalities and Local Central Limit Theorem for the Polynomial
  Lower Tail Random Conductance Model

abstract:
  We prove upper bounds on the transition probabilities of random walks with
i.i.d. random conductances with a polynomial lower tail near $0$. We consider
both constant and variable speed models. Our estimates are sharp. As a
consequence, we derive local central limit theorems, parabolic Harnack
inequalities and Gaussian bounds for the heat kernel. Some of the arguments are
robust and applicable for random walks on general graphs. Such results are
stated under a general setting.


title: List H-Coloring a Graph by Removing Few Vertices

abstract:
  In the deletion version of the list homomorphism problem, we are given graphs
G and H, a list L(v) that is a subset of V(H) for each vertex v of G, and an
integer k. The task is to decide whether there exists a subset W of V(G) of
size at most k such that there is a homomorphism from G \ W to H respecting the
lists. We show that DL-Hom(H), parameterized by k and |H|, is fixed-parameter
tractable for any (P6, C6)-free bipartite graph H; already for this restricted
class of graphs, the problem generalizes Vertex Cover, Odd Cycle Transversal,
and Vertex Multiway Cut parameterized by the size of the cutset and the number
of terminals. We conjecture that DL-Hom(H) is fixed-parameter tractable for the
class of graphs H for which the list homomorphism problem (without deletions)
is polynomial-time solvable; by a result of Feder, Hell and Huang (1999), a
graph H belongs to this class precisely if it is a bipartite graph whose
complement is a circular arc graph. We show that this conjecture is equivalent
to the fixed-parameter tractability of a single fairly natural satisfiability
problem, Clause Deletion Chain-SAT.


title:
Uncertainty inequalities on groups and homogeneous spaces via
  isoperimetric inequalities

abstract:
  We prove a family of $L^p$ uncertainty inequalities on fairly general groups
and homogeneous spaces, both in the smooth and in the discrete setting. The
crucial point is the proof of the $L^1$ endpoint, which is derived from a
general weak isoperimetric inequality.


title: On the average of the Airy process and its time reversal

abstract:
  We show that the supremum of the average of the Airy process and its time
reversal minus a parabola is distributed as the maximum of two independent GUE
Tracy-Widom random variables. The proof is obtained by considering a directed
last passage percolation model with a rotational symmetry in two different
ways. We also review other known identities between the Airy process and the
Tracy-Widom distributions.


title: A diagrammatic definition of $U_q(sl_2)$

abstract:
  We give a diagrammatic definition of $U_q(sl_2)$ when $q$ is not a root of
unity, including its Hopf algebra structure and its relationship with the
Temperley-Lieb category.


title:
Enhancement of superconductivity near the pressure-induced
  semiconductor-metal transition in BiS2-based compounds LnO(0.5)F(0.5)BiS2 (Ln
  = La, Ce, Pr, Nd)

abstract:
  Measurements of electrical resistivity were performed between 3 and 300 K at
various pressures up to 2.8 GPa on the BiS2-based superconductors
LnO0.5F0.5BiS2 (Ln = Pr, Nd). At lower pressures, PrO0.5F0.5BiS2 and
NdO0.5F0.5BiS2 exhibit superconductivity with critical temperatures Tc of 3.5
and3.9 K, respectively. As pressure is increased, both compounds undergo a
transition at a pressure Pt from a low Tc superconducting phase to a high Tc
superconducting phase in which Tc reaches maximum values of 7.6 and 6.4 K for
PrO0.5F0.5BiS2 and NdO0.5F0.5BiS2, respectively. The pressure-induced
transition is characterized by a rapid increase in Tc within a small range in
pressure of ~0.3 GPa for both compounds. In the normal state of PrO0.5F0.5BiS2,
the transition pressure Pt correlates with the pressure where the suppression
of semiconducting behaviour saturates. In the normal state of NdO0.5F0.5BiS2,
Pt is coincident with a semiconductor-metal transition. This behaviour is
similar to the results recently reported for the LnO0.5F0.5BiS2 (Ln = La, Ce)
compounds. We observe that Pt and the size of the jump in Tc between the two
superconducting phases both scale with the lanthanide element in LnO0.5F0.5BiS2
(Ln = La, Ce, Pr, Nd).


title: On convoluters on $L^p$-spaces

abstract:
  We prove two theorems about convolution operators on $L^p(G)$ for a locally
compact group $G$. First, if $G$ has the approximation property, then the
algebra of convoluters is the algebra of pseudo-measures. Second, the
bicommutant of the algebra of pseudo-measures is the algebra of convoluters.


title:
Brill-Noether theory of curves on Enriques surfaces, II. The Clifford
  index

abstract:
  We complete our study of linear series on curves lying on an Enriques surface
by showing that, with the exception of smooth plane quintics, there are no
exceptional curves on Enriques surfaces, that is, curves for which the Clifford
index is not computed by a pencil.


title: The Diamond Theorem

abstract:
  Finite projective geometry underlies the structure of the 35 square patterns
in R. T. Curtis's Miracle Octad Generator, and also explains the surprising
symmetry properties of some simple graphic designs.


title:
The equivalence between local inertial frames and electromagnetic gauge
  in Einstein-Maxwell theories

abstract:
  We are going to prove that locally the inertial frames and gauge states of
the electromagnetic field are equivalent. This proof will be valid for
Einstein-Maxwell theories in four-dimensional Lorentzian spacetimes. Use will
be made of theorems proved in a previous manuscript. These theorems state that
locally the group of electromagnetic gauge transformations is isomorphic to the
local Lorentz transformations of a special set of tetrad vectors. The tetrad
that locally and covariantly diagonalizes any non-null electromagnetic
stress-energy tensor. Two isomorphisms, one for each plane defined locally by
two separate sets of two vectors each. In particular, we are going to use the
plane defined by the timelike and one spacelike vector, plane or blade one.
These results will be extended to any tetrad that results in a local Lorentz
transformation of the special tetrad that locally and covariantly diagonalizes
the stress-energy tensor.


title: Di-jet resonances at future hadron colliders: A Snowmass whitepaper

abstract:
  I investigate the sensitivity of future hadron colliders to di-jet resonances
arising from Z' or coloron models. The projected discovery potential and
exclusion limits for these resonances is presented in the coupling vs. mass
plane, which highlights both the increased mass reach from higher energy
machines as well as the improved coupling sensivity from larger luminosity.


title:
Discovery potential of Kaluza-Klein gluons at hadron colliders: A
  Snowmass whitepaper

abstract:
  We investigate the discovery potential of Kaluza-Klein gluons as a dijet
resonance at hadron colliders with different center-of-mass energies, from 14
TeV to 33 TeV to 100 TeV. We also present the current bounds from dijet
searches at UA2, Tevatron, and LHC.