title:
Multivariate transient price impact and matrix-valued positive definite
  functions

abstract:
  We consider a model for linear transient price impact for multiple assets
that takes cross-asset impact into account. Our main goal is to single out
properties that need to be imposed on the decay kernel so that the model admits
well-behaved optimal trade execution strategies. We first show that the
existence of such strategies is guaranteed by assuming that the decay kernel
corresponds to a matrix-valued positive definite function. An example
illustrates, however, that positive definiteness alone does not guarantee that
optimal strategies are well-behaved. Building on previous results from the
one-dimensional case, we investigate a class of nonincreasing, nonnegative and
convex decay kernels with values in the symmetric $K\times K$ matrices. We show
that these decay kernels are always positive definite and characterize when
they are even strictly positive definite, a result that may be of independent
interest. Optimal strategies for kernels from this class are well-behaved when
one requires that the decay kernel is also commuting. We show how such decay
kernels can be constructed by means of matrix functions and provide a number of
examples. In particular we completely solve the case of matrix exponential
decay.


title: Evidence for skyrmions in the high-temperature superconductors

abstract:
  We claim that the charge density wave recently found by resonant soft x-ray
scattering in layered copper oxides is the tetragonal symmetry defined by the
distance between neighbor Cu$^{3+}$ ions in the CuO$_2$ layer that determines
the critical temperature. We find evidence that this tetragonal symmetry is a
skyrmionic state, which is responsible for an unusual magnetic order and charge
flow in the layers that leads to the breaking of the time reversal symmetry
below the pseudogap line. The core of the skyrmions form pockets of local
magnetic field piercing the superconducting layers in opposite direction to the
rest of the unit cell.


title:
Local Records and Global Entanglement: A Unique Multi-Partite
  Generalization of the Schmidt Decomposition

abstract:
  We show that there is a unique maximal decomposition of a pure multi-partite
(N>2) quantum state into a sum of states which are "locally orthogonal" in the
sense that the local reduced state for a term in the sum lives in its own
orthogonal subspace for each subsystem. Observers can make local measurements
on any subsystem and determine which "branch" they are on. The Shannon entropy
of the resulting branch weights defines a new measure of global, GHZ-like
entanglement, which is insensitive to local pairwise entangling operations and
vanishes when there is no piece of information recorded at every subsystem. In
the bi-partite (N=2) case, this decomposition reduces to the (not necessarily
unique) Schmidt decomposition and the entropy reduces to the entropy of
entanglement


title:
The order-chaos phase transition for a general class of complex Boolean
  networks

abstract:
  We consider a model for heterogeneous 'gene regulatory networks' that is a
generalization of the model proposed by Chatterjee and Durrett (2011) as an
"annealed approximation" of Kauffmann's (1969) random Boolean networks. In this
model, genes are represented by the nodes of a random directed graph on n
vertices with specified in-degree distribution (resp. out-degree distribution
or joint distribution of in-degree and out-degree), and the expression bias
(the expected fraction of 1's in the Boolean functions) p is same for all
nodes. Following a standard practice in the physics literature, we use a
discrete-time threshold contact process with parameter q=2p(1-p) (in which a
vertex with at least one 'occupied' input at time t will be occupied at time
t+1 with probability q, and 'vacant' otherwise) on the above random graph to
approximate the dynamics of the Boolean network. We show that there is a
parameter r (which can be written explicitly in terms of first few moments of
the degree distribution) such that, with probability tending to 1 as n goes to
infinity, if 2p(1-p)r>1, then starting from all occupied sites the threshold
contact process maintains a positive ({\it quasi-stationary}) density of
occupied sites for time which is exponential in n, whereas if 2p(1-p)r<1, then
the persistence time of the threshold contact process is at most logarithmic in
n. These two phases correspond to the 'chaotic' and 'ordered' behavior of the
gene networks.


title:
Network Parameters Impact on Dynamic Transmission Power Control in
  Vehicular Ad hoc Networks

abstract:
  In vehicular ad hoc networks, the dynamic change in transmission power is
very effective to increase the throughput of the wireless vehicular network and
decrease the delay of the message communication between vehicular nodes on the
highway. Transmission range is directly proportional to the transmission power
the moving node. If the transmission power will be high, the interference
increases that can cause higher delay in message reception at receiver end,
hence the performance of the network decreased. In this paper, it is analyzed
that how transmission power can be controlled by considering other different
parameter of the network such as; density, distance between moving nodes,
different types of messages dissemination with their priority, selection of an
antenna also affects on the transmission power. The dynamic control of
transmission power in VANETs serves also for the optimization of the resources
where it needs, can be decreased and increased depending on the circumstances
of the network. Different applications and events of different types also cause
changes in transmission power to enhance the reach-ability. The analysis in
this paper is comprised of density, distance with single hop and multi-hop
message broadcasting based dynamic transmission power control as well as
antenna selection and applications based. Some summarized tables are produced
according to the respective parameters of the vehicular network. At the end
some valuable observations are made and discussed in detail. This paper
concludes with a grand summary of all the protocols discussed in it.


title: An infinite rank summand of topologically slice knots

abstract:
  We describe an error in the proof of a key proposition, which was necessary
for the proof of the main result. Alternate proofs of the main result are given
by Ozsvath-Stipsicz-Szabo and Dai-Hom-Stoffregen-Truong.


title: Cumulative measure of correlation for multipartite quantum states

abstract:
  The present article proposes a measure of correlation for multiqubit mixed
states. The measure is defined recursively, accumulating the correlation of the
subspaces, making it simple to calculate without using of regression. Unlike
usual measures, the proposed measure is continuous additive and reflects the
dimensionality of the state space, allowing to compare states with different
dimensions. Examples show that the measure can signal critical points (CP) in
the analysis of Quantum Phase Transitions in Heisenberg models.


title: The leading eikonal operator in string-brane scattering at high energy

abstract:
  In this paper we present two (a priori independent) derivations of the
eikonal operator in string-brane scattering. The first one is obtained by
summing surfaces with any number of boundaries, while in the second one the
eikonal operator is derived from the three-string vertex in a suitable
light-cone gauge. This second derivation shows that the bosonic oscillators
present in the leading eikonal operator are to be identified with the string
bosonic oscillators in a suitable light-cone gauge, while the first one shows
that it exponentiates recovering unitarity. This paper is a review of results
obtained in two previous publications of the same authors.


title:
Response to comment on theoretical RF field limits of multilayer coating
  structures of superconducting resonator cavities

abstract:
  A comment to the authors' SRF Conference pre-print [1] was submitted by A.
Gurevich to the arXiv [2]. In this response, we show that the arguments used in
the comment are not valid.
  [1] arXiv:1309.3239 [2] arXiv:1309.5626


title:
Effect of saccades in tongue electrotactile stimulation for vision
  substitution applications

abstract:
  The visual substitution paradigm aims to facilitate the life of blind people.
Generally one uses electro-stimulating devices where electrodes are arranged
into arrays to stimulate the skin or the tongue mucosa to send signals of
visual type to the subjects. When an electro-stimulation signal is applied
continuously (e.g. when static visual scenes are displayed for a long period of
time), the receptors of the affected region can get saturated and the patient
may lose the displayed information. We propose here some mechanisms that
ameliorate the quality of perception of the electro-stimulation information.
The electrical signal is encoded as 2D scenes projected onto the tongue via a
Tongue Display Unit, i.e. an electro-tactile stimulator formed by a 12x12
matrix of electrodes. We propose to apply stochastic saccades on this signal.
Our assumption is that this eye-inspired mechanism should make the visual
substitution more efficient (by improving the perception) because of the
reduction of the tactile receptors saturation. The influence of saccades was
evaluated by a series of experiments. Results revealed a benefit on the
persistence of perception due to saccades. This work helps to prevent the
saturation of receptors on the tongue. Therefore increasing the quality of
vision by the way of the electro-stimulation. It allows new enhancement
features to retinal prosthesis devices which suffer from the same phenomenon.


title:
Dynamical scalarization of neutron stars in scalar-tensor gravity
  theories

abstract:
  We present a framework to study generic neutron-star binaries in
scalar-tensor theories of gravity. Our formalism achieves this goal by suitably
interfacing a post-Newtonian orbital evolution (described by a set of ordinary
differential equations) with a set of non-linear algebraic equations, which
provide a description of the scalar charge of each binary's component along the
evolution in terms of isolated-star data. We validate this semi-analytical
procedure by comparing its results to those of fully general-relativistic
simulations, and use it to investigate the behavior of binary systems in large
portions of the parameter space of scalar-tensor theories. This allows us to
shed further light on the phenomenon of "dynamical scalarization", which we
uncovered in [Barausse, Palenzuela, Ponce and Lehner, Phys. Rev. D 87,
081506(R) (2013)] and which takes place in tight binaries, even for stars that
have exactly zero scalar charge in isolation. We also employ our formalism to
study representative binary systems, obtain their gravitational-wave signals
and discuss the extent to which deviations from General Relativity can be
detected. The insights gained by this framework allow us to additionally show
that eccentric binaries can undergo scalarization/de-scalarization phenomena.


title:
Primordial non-Gaussianities in single field inflationary models with
  non-trivial initial states

abstract:
  We compute the non-Gaussianities that arise in single field, slow roll
inflationary models arising from arbitrary homogeneous initial states, as well
as subleading contributions to the power spectrum. Non Bunch-Davies vacuum
initial states can arise if the transition to the single field, slow roll
inflation phase occurs only shortly before observable modes left the horizon.
They can also arise from new physics at high energies that has been integrated
out. Our general result for the bispectrum exhibits several features that were
previously seen in special cases.


title: Long-time analysis of 3 dimensional Ricci flow III

abstract:
  In this paper we analyze the long-time behavior of 3 dimensional Ricci flows
with surgery. Our main result is that if the surgeries are performed correctly,
then only finitely many surgeries occur and after some time the curvature is
bounded by $C t^{-1}$. This result confirms a conjecture of Perelman. In the
course of the proof, we also obtain a qualitative description of the geometry
as $t \to \infty$.
  This paper is the third part of a series. Previously, we had to impose a
certain topological condition $\mathcal{T}_2$ to establish the finiteness of
the surgeries and the curvature control. The objective of this paper is to
remove this condition and to generalize the result to arbitrary closed
3-manifolds. This goal is achieved by a new area evolution estimate for minimal
simplicial complexes, which is of independent interest.


title:
A geometric condition, necessity of energy, and two weight boundedness
  of fractional Riesz transforms

abstract:
  We prove that the energy conditions in arXiv:1302.5093v7 are implied by the
fractional A2 conditions and testing conditions for the vector of fractional
Riesz transforms when one measure is supported on a line. Then we apply the
main theorem in arXiv:1302.5093v7 to obtain a T1 theorem for the fractional
Riesz transforms when one weight is supported on a line.


title: The BeiHang Keystroke Dynamics Authentication System

abstract:
  Keystroke Dynamics is an important biometric solution for person
authentication. Based upon keystroke dynamics, this paper designs an embedded
password protection device, develops an online system, collects two public
databases for promoting the research on keystroke authentication, exploits the
Gabor filter bank to characterize keystroke dynamics, and provides benchmark
results of three popular classification algorithms, one-class support vector
machine, Gaussian classifier, and nearest neighbour classifier.


title:
Strong Gravitational Lensing in a Charged Squashed Kaluza- Klein
  G\"{o}del Black hole

abstract:
  In this paper we investigate the strong gravitational lansing in a charged
squashed Kaluza-Klein G\"{o}del black hole. The deflection angle is considered
by the logarithmic term proposed by Bozza et al. Then we study the variation of
deflection angle and its parameters $\bar{a}$ and $\bar{b}$ . We suppose that
the supermassive black hole in the galaxy center can be considered by a charged
squashed Kaluza-Klein black hole in a G\"{o}del background and by relation
between lensing parameters and observables, we estimate the observables for
different values of charge, extra dimension and G\"{o}del parameters.


title:
A 4p BaF2 detector for (n,g) cross section measurements at a spallation
  neutron source

abstract:
  The quest for improved neutron capture cross sections for advanced reactor
concepts, transmutation of radioactive wastes as well as for astrophysical
scenarios of neutron capture nucleosynthesis has motivated new experimental
efforts based on modern techniques. Recent measurements in the keV region have
shown that a 4p BaF2 detector represents an accurate and versatile instrument
for such studies. The present work deals with the potential of such a 4p BaF2
detector in combination with spallation neutron sources, which offer large
neutron fluxes over a wide energy range. Detailed Monte Carlo simulations with
the GEANT package have been performed to investigate the critical backgrounds
at a spallation facility, to optimize the detector design, and to discuss
alternative solutions.


title: A dynamical study of the nova remnant of GK Per

abstract:
  Due to their large expansion speed, the apparent growth of nearby nova
remnants such as GK Per can be easily resolved from ground-based optical
imagery on a timescale of months. If the expansion in the plane of the sky is
coupled with the Doppler shift velocities, an almost complete dynamical picture
is drawn. We will discuss our latest results of such a study on GK Per.


title: Frequentist coverage of adaptive nonparametric Bayesian credible sets

abstract:
  We investigate the frequentist coverage of Bayesian credible sets in a
nonparametric setting. We consider a scale of priors of varying regularity and
choose the regularity by an empirical Bayes method. Next we consider a central
set of prescribed posterior probability in the posterior distribution of the
chosen regularity. We show that such an adaptive Bayes credible set gives
correct uncertainty quantification of "polished tail" parameters, in the sense
of high probability of coverage of such parameters. On the negative side, we
show by theory and example that adaptation of the prior necessarily leads to
gross and haphazard uncertainty quantification for some true parameters that
are still within the hyperrectangle regularity scale.


title:
Necessity of PT symmetry for soliton families in one-dimensional complex
  potentials

abstract:
  For the one-dimensional nonlinear Schroedinger equation with a complex
potential, it is shown that if this potential is not parity-time (PT)
symmetric, then no continuous families of solitons can bifurcate out from
linear guided modes, even if the linear spectrum of this potential is all real.
Both localized and periodic non-PT-symmetric potentials are considered, and the
analytical conclusion is corroborated by explicit examples. Based on this
result, it is argued that PT-symmetry of a one-dimensional complex potential is
a necessary condition for the existence of soliton families.


title: QCD effects in mono-jet searches for dark matter

abstract:
  LHC searches for missing transverse energy in association with a jet allow to
place strong bounds on the interactions between dark matter and quarks. In this
article, we present an extension of the POWHEG BOX capable of calculating the
underlying cross sections at the next-to-leading order level. This approach
enables us to consistently include the effects of parton showering and to apply
realistic experimental cuts. We find significant differences from a fixed-order
analysis that neglects parton showering effects. In particular, next-to-leading
order corrections do not lead to a significant enhancement of the mono-jet
cross section once a veto on additional jets is imposed. Nevertheless, these
corrections reduce the theoretical uncertainties of the signal prediction and
therefore improve the reliability of the derived bounds. We present our results
in terms of simple rescaling factors, which can be directly applied to existing
experimental analyses and discuss the impact of changing experimental cuts.


title:
Robust, self-consistent, closed-form tomography of quantum logic gates
  on a trapped ion qubit

abstract:
  We introduce and demonstrate experimentally: (1) a framework called "gate set
tomography" (GST) for self-consistently characterizing an entire set of quantum
logic gates on a black-box quantum device; (2) an explicit closed-form protocol
for linear-inversion gate set tomography (LGST), whose reliability is
independent of pathologies such as local maxima of the likelihood; and (3) a
simple protocol for objectively scoring the accuracy of a tomographic estimate
without reference to target gates, based on how well it predicts a set of
testing experiments. We use gate set tomography to characterize a set of
Clifford-generating gates on a single trapped-ion qubit, and compare the
performance of (i) standard process tomography; (ii) linear gate set
tomography; and (iii) maximum likelihood gate set tomography.


title:
Molecular Gas Properties of the Giant Molecular Cloud Complexes in the
  Arms and Inter-arms of the Spiral Galaxy NGC 6946

abstract:
  Combining observations of multiple CO lines with radiative transfer modeling
is a very powerful tool to investigate the physical properties of the molecular
gas in galaxies. Using new observations as well as literature data, we provide
the most complete CO ladders ever generated for eight star-forming regions in
the spiral arms and inter-arms of the spiral galaxy NGC 6946, with observations
of the CO(1-0), CO(2-1), CO(3-2), CO(4-3), CO(6-5), 13CO(1-0) and 13CO(2-1)
transitions. For each region, we use the large velocity gradient assumption to
derive beam-averaged molecular gas physical properties, namely the gas kinetic
temperature (T_K), H2 number volume density n(H2) and CO number column density
N(CO). Two complementary approaches are used to compare the observations with
the model predictions: chi-square minimisation and likelihood. The physical
conditions derived vary greatly from one region to the next: T_K=10-250 K,
n(H2)=10^2.3-10^7.0 cm^-3 and N(CO)=10^15.0-10^19.3 cm^-2. The spectral line
energy distribution (SLED) of some of these extranuclear regions indicates a
star-formation activity that is more intense than that at the centre of our own
Milky Way. The molecular gas in regions with a large SLED turnover transition
(J_max>4) is hot but tenuous with a high CO column density, while that in
regions with a low SLED turnover transition (J_max<=4) is cold but dense with a
low CO column density. We finally discuss and find some correlations between
the physical properties of the molecular gas in each region and the presence of
young stellar population indicators (supernova remnants, HII regions, HI holes,
etc.)


title: Particle Acceleration Around 5-dimensional Kerr Black Hole

abstract:
  On the lines of the 4-dimensional Kerr black hole we consider the particle
acceleration near a 5-dimensional Kerr black hole which has the two rotation
parameters. It turns out that the center of mass energy of the two equal mass
colliding particles as expected diverges for the extremal black hole and there
is a symmetry in the results for $\theta = 0, \pi/2$. Because of the two
rotation parameters, $r=0$ can be a horizon without being a curvature
singularity. It is shown that the acceleration of particles to high energies
near the 5-D extreme rotating black hole avoids fine-tuning of the angular
momentum of particles.


title:
Multiple Attractor Cellular Automata (MACA) for Addressing Major
  Problems in Bioinformatics

abstract:
  CA has grown as potential classifier for addressing major problems in
bioinformatics. Lot of bioinformatics problems like predicting the protein
coding region, finding the promoter region, predicting the structure of protein
and many other problems in bioinformatics can be addressed through Cellular
Automata. Even though there are some prediction techniques addressing these
problems, the approximate accuracy level is very less. An automated procedure
was proposed with MACA (Multiple Attractor Cellular Automata) which can address
all these problems. The genetic algorithm is also used to find rules with good
fitness values. Extensive experiments are conducted for reporting the accuracy
of the proposed tool. The average accuracy of MACA when tested with ENCODE,
BG570, HMR195, Fickett and Tongue, ASP67 datasets is 78%.


title:
Reconstructing Supersymmetric Contribution to Muon Anomalous Magnetic
  Dipole Moment at ILC

abstract:
  We study the possibility to determine the supersymmetric (SUSY) contribution
to the muon anomalous magnetic dipole moment by using ILC measurements of the
properties of superparticles. Assuming that the contribution is as large as the
current discrepancy between the result of the Brookhaven E821 experiment and
the standard-model prediction, we discuss how and how accurately the SUSY
contribution can be reconstructed. We will show that, in a sample point, the
reconstruction can be performed with the accuracy of ~ 13 % with the
center-of-mass energy 500 GeV and the integrated luminosity ~ 500-1000 fb-1.


title: The [alpha/Fe] ratios of very metal-poor stars within the IGIMF theory

abstract:
  The aim of this paper is to quantify the amplitude of the predicted plateau
in [alpha/Fe] ratios associated with the most metal-poor stars of a galaxy. We
assume that the initial mass function in galaxies is steeper if the star
formation rate (SFR) is low -- as per the integrated galactic initial mass
function (IGIMF) theory. A variant of the theory, in which the IGIMF depends
upon the metallicity of the parent galaxy, is also considered. The IGIMF theory
predicts low [alpha/Fe] plateaus in dwarf galaxies, characterised by small
SFRs. The [alpha/Fe] plateau is up to 0.7dex lower than the corresponding
plateau of the Milky Way. For a universal IMF one should expect instead that
the [alpha/Fe] plateau is the same for all the galaxies, irrespective of their
masses or SFRs. Assuming a strong dependence of the IMF on the metallicity of
the parent galaxy, dwarf galaxies can show values of the [alpha/Fe] plateau
similar to those of the Milky Way, and almost independent on the SFR. The
[Mg/Fe] ratios of the most metal-poor stars in dwarf galaxies satellites of the
Milky Way can be reproduced either if we consider metallicity-dependent IMFs or
if the early SFRs of these galaxies were larger than we presently think.
Present and future observations of dwarf galaxies can help disentangle between
these different IGIMF formulations.


title:
Identification of a Jet-Driven Supernova Remnant in the Small Magellanic
  Cloud: Possible Evidence for the Enhancement of Bipolar Explosions at Low
  Metallicity

abstract:
  Recent evidence has suggested that the supernova remnant (SNR) 0104-72.3 in
the Small Magellanic Cloud (SMC) may be the result of a prompt Type Ia SN based
on enhanced iron abundances and its association with a star-forming region. In
this paper, we present evidence that SNR 0104-72.3 arose from a jet-driven
bipolar core-collapse SN. Specifically, we use serendipitous Chandra X-ray
Observatory data of SNR 0104-72.3 taken due to its proximity to the calibration
source SNR E0102-72.3. We analyze 56 Advanced CCD Imaging Spectrometer (ACIS)
observations of SNR 0104-72.3 to produce imaging and spectra with an effective
exposure of 528.6 ks. We demonstrate that SNR 0104-72.3 is highly elliptical
relative to other nearby young SNRs, suggesting a core-collapse SN origin.
Furthermore, we compare ejecta abundances derived from spectral fits to
nucleosynthetic yields of Type Ia and core-collapse (CC) SNe, and we find that
the iron, neon, and silicon abundances are consistent with either a spherical
CC SN of a 18-20 solar mass progenitor or an aspherical CC SN of a 25 solar
mass progenitor. We show that the star-formation history at the site of SNR
0104-72.3 is also consistent with a CC origin. Given the bipolar morphology of
the SNR, we favor the aspherical CC SN scenario. This result may suggest
jet-driven SNe occur frequently in the low-metallicity environment of the SMC,
consistent with the observational and theoretical work on broad-line Type Ic
SNe and long-duration gamma-ray bursts.


title:
Two distinct red giant branch populations in the globular cluster NGC
  2419 as tracers of a merger event in the Milky Way

abstract:
  Recent spectroscopic observations of the outer halo globular cluster (GC) NGC
2419 show that it is unique among GCs, in terms of chemical abundance patterns,
and some suggest that it was originated in the nucleus of a dwarf galaxy. Here
we show, from the Subaru narrow-band photometry employing a calcium filter,
that the red giant-branch (RGB) of this GC is split into two distinct
subpopulations. Comparison with spectroscopy has confirmed that the redder RGB
stars in the $hk$[=(Ca$-b)-(b-y)$] index are enhanced in [Ca/H] by $\sim$0.2
dex compared to the bluer RGB stars. Our population model further indicates
that the calcium-rich second generation stars are also enhanced in helium
abundance by a large amount ($\Delta$Y = 0.19). Our photometry, together with
the results for other massive GCs (e.g., $\omega$ Cen, M22, and NGC 1851),
suggests that the discrete distribution of RGB stars in the $hk$ index might be
a universal characteristic of this growing group of peculiar GCs. The planned
narrow-band calcium photometry for the Local Group dwarf galaxies would help to
establish an empirical connection between these GCs and the primordial building
blocks in the hierarchical merging paradigm of galaxy formation.


title: En-gauging Naturalness

abstract:
  The discovery of a 125.5 GeV Higgs with standard model-like couplings and
naturalness considerations motivate gauge extensions of the MSSM. We analyse
two variants of such an extension and carry out a phenomenological study of
regions of the parameter space satisfying current direct and indirect
constraints, employing state-of-the art two-loop RGE evolution and GMSB
boundary conditions. We find that due to the appearance of non-decoupled
D-terms it is possible to obtain a 125.5 GeV Higgs with stops below 2 TeV,
while the uncolored sparticles could still lie within reach of the LHC. We
compare the contributions of the stop sector and the non-decoupled D-terms to
the Higgs mass, and study their effect on the Higgs couplings. We further
investigate the nature of the next-to lightest supersymmetric particle, in
light of the GMSB motivated searches currently being pursued by ATLAS and CMS.


title: Cold gas dynamics in Hydra-A: evidence for a rotating disk

abstract:
  We present multi-frequency observations of the radio galaxy Hydra-A (3C218)
located in the core of a massive, X-ray luminous galaxy cluster. IFU
spectroscopy is used to trace the kinematics of the ionised and warm molecular
hydrogen which are consistent with a ~ 5 kpc rotating disc. Broad,
double-peaked lines of CO(2-1), [CII]157 $\mu$m and [OI]63 $\mu$m are detected.
We estimate the mass of the cold gas within the disc to be M$_{gas}$ = 2.3
$\pm$ 0.3 x 10$^9$ M$_{\odot}$. These observations demonstrate that the complex
line profiles found in the cold atomic and molecular gas are related to the
rotating disc or ring of gas. Finally, an HST image of the galaxy shows that
this gas disc contains a substantial mass of dust. The large gas mass, SFR and
kinematics are consistent with the levels of gas cooling from the ICM. We
conclude that the cold gas originates from the continual quiescent accumulation
of cooled ICM gas. The rotation is in a plane perpendicular to the projected
orientation of the radio jets and ICM cavities hinting at a possible connection
between the kpc-scale cooling gas and the accretion of material onto the black
hole. We discuss the implications of these observations for models of cold
accretion, AGN feedback and cooling flows.


title:
2HOT: An Improved Parallel Hashed Oct-Tree N-Body Algorithm for
  Cosmological Simulation

abstract:
  We report on improvements made over the past two decades to our adaptive
treecode N-body method (HOT). A mathematical and computational approach to the
cosmological N-body problem is described, with performance and scalability
measured up to 256k ($2^{18}$) processors. We present error analysis and
scientific application results from a series of more than ten 69 billion
($4096^3$) particle cosmological simulations, accounting for $4 \times 10^{20}$
floating point operations. These results include the first simulations using
the new constraints on the standard model of cosmology from the Planck
satellite. Our simulations set a new standard for accuracy and scientific
throughput, while meeting or exceeding the computational efficiency of the
latest generation of hybrid TreePM N-body methods.


title: Stellar Spin-Orbit Misalignment in a Multiplanet System

abstract:
  Stars hosting hot Jupiters are often observed to have high obliquities,
whereas stars with multiple co-planar planets have been seen to have low
obliquities. This has been interpreted as evidence that hot-Jupiter formation
is linked to dynamical disruption, as opposed to planet migration through a
protoplanetary disk. We used asteroseismology to measure a large obliquity for
Kepler-56, a red giant star hosting two transiting co-planar planets. These
observations show that spin-orbit misalignments are not confined to hot-Jupiter
systems. Misalignments in a broader class of systems had been predicted as a
consequence of torques from wide-orbiting companions, and indeed
radial-velocity measurements revealed a third companion in a wide orbit in the
Kepler-56 system.


title: The $m_D-b_M$ Problem of Dirac Gauginos and its Solutions

abstract:
  We examine the effective low-energy theory of the adjoint sector of Dirac
gaugino models and its UV completions, and identify the main source of tuning.
A holomorphic scalar adjoint mass square (the "$b_M$ term") is generated at the
same order (1-loop) as the Dirac gaugino mass (the "$m_D$ term"), leading to
the problematic relation $b_M\sim16\pi^2 m_D^2$, somewhat analogous to the
$\mu-B_\mu$ problem of gauge mediation. We identify the leading operators of
the low-energy effective theory contributing to the adjoint sector, and
evaluate them in various UV completions, confirming the existence of this
problem. We suggest a solution by introducing messenger mixing and tuning the
relevant parameters. We also present a novel dynamical model for Dirac gauginos
based on a strongly coupled SUSY QCD theory, where the additional adjoint $M$
is identified with a confined meson, the U(1) with a baryon-number like
symmetry, and the messengers with the confined baryons. We find a SUSY breaking
vacuum with a non-vanishing D-term, which after tuning the messenger mixing
angles gives rise to a realistic gaugino and squark sector.


title: Exact Partition Functions on RP2 and Orientifolds

abstract:
  We consider gauged linear sigma models (GLSM) on $\mathbb{RP}^2$, obtained
from a parity projection of $S^2$. The theories admit squashing deformation,
much like GLSM on $S^2$, which allows us to interpret the partition function as
the overlap amplitude between the vacuum state and crosscap states. From these,
we extract the central charge of Orientifold planes, and observe that the Gamma
class makes a prominent appearance as in the recent D-brane counterpart. We
also repeat the computation for the mirror Landau-Ginzburg theory, which
naturally brings out the $\theta$-dependence as a relative sign between two
holonomy sectors on $\mathbb{RP}^2$. We also show how our results are
consistent with known topological properties of D-brane and Orientifold plane
world-volumes, and discuss what part of the wrapped D-brane/Orientifold central
charge should be attributed to the quantum volumes.


title:
Constraints on long-lived remnants of neutron star binary mergers from
  late-time radio observations of short duration gamma-ray bursts

abstract:
  The coalescence of a binary neutron star (NS) system may in some cases
produce a massive NS remnant that is long-lived and, potentially, indefinitely
stable to gravitational collapse. Such a remnant has been proposed as an
explanation for the late X-ray emission observed following some short duration
gamma-ray bursts (GRBs) and as possible electromagnetic counterparts to the
gravitational wave chirp. A stable NS merger remnant necessarily possesses a
large rotational energy > 1e52 erg, the majority of which is ultimately
deposited into the surrounding circumburst medium (CBM) at mildly relativistic
velocities. We present Very Large Array radio observations of 7 short GRBs,
some of which possessed temporally extended X-ray emission, on timescales of
~1-3 years following the initial burst. No radio sources were detected, with
typical upper limits ~0.3 mJy at 1.4 GHz. A basic model for the synchrotron
emission from the blast wave is used to constrain the presence of a long-lived
NS merger remnant in each system. Depending on the GRB, our non-detections
translate into upper limits on the CBM density n < 3e-2 - 3e-3 particles/cm^3
required for consistency with the remnant hypothesis. Our upper limits rule out
a long-lived remnant in GRB 050724 and 060505, but cannot rule out such a
remnant in other systems due to their lower inferred CBM densities based on
afterglow modeling or the lack of such constraints. Additional VLA observations
in the near future could place tighter limits on the presence of merger
remnants in these system. The population of long-lived NS merger remnants will
also be constrained by their (non-)detection with upcoming radio transient
surveys.


title:
Bifurcation in entanglement renormalization group flow of a gapped spin
  model

abstract:
  We study entanglement renormalization group transformations for the ground
states of a spin model, called cubic code model $H_A$ in three dimensions, in
order to understand long-range entanglement structure. The cubic code model has
degenerate and locally indistinguishable ground states under periodic boundary
conditions. In the entanglement renormalization, one applies local unitary
transformations on a state, called disentangling transformations, after which
some of the spins are completely disentangled from the rest and then discarded.
We find a disentangling unitary to establish equivalence of the ground state of
$H_A$ on a lattice of lattice spacing $a$ to the tensor product of ground
spaces of two independent Hamiltonians $H_A$ and $H_B$ on lattices of lattice
spacing $2a$. We further find a disentangling unitary for the ground space of
$H_B$ with the lattice spacing $a$ to show that it decomposes into two copies
of itself on the lattice of the lattice spacing $2a$. The disentangling
transformations yield a tensor network description for the ground state of the
cubic code model. Using exact formulas for the degeneracy as a function of
system size, we show that the two Hamiltonians $H_A$ and $H_B$ represent
distinct phases of matter.


title: The Nature of Faint Fuzzies from the Kinematics of NGC1023

abstract:
  Faint fuzzies are metal-rich apparently-old star clusters with unusually
large radii (7-15 pc), found mostly in S0 galaxies, whose source remain
obscure. To identify their origins, we compare planetary nebulae and neutral
hydrogen with faint fuzzy positions and line-of-sight velocities in NGC1023. In
this way, we rule out scenarios in which these objects are associated with an
on-going merger or with a spheroid population in NGC1023. Their kinematics are
indistinguishable from the stellar disk population in this galaxy, and we
conclude that faint fuzzies are most likely just remnant open clusters. Their
observed association with S0s then simply reflects the difficulty of
identifying such objects in later-type disk galaxies.


title:
Binary Disk interaction II: Gap-Opening criteria for unequal mass
  binaries

abstract:
  We study the interaction between an unequal mass binary with an isothermal
circumbinary disk, motivated by the theoretical and observational evidence that
after a major merger of gas-rich galaxies, a massive gaseous disk with a SMBH
binary will be formed in the nuclear region. We focus on the gravitational
torques that the binary exerts onto the disk and how these torques can drive
the formation of a gap in the disk. This exchange of angular momentum between
the binary and the disk is mainly driven by the gravitational interaction
between the binary and a strong non-axisymmetric density perturbation that is
produced in the disk, as response to the presence of the binary. Using SPH
numerical simulations we tested two gap-opening criterion, one that assumes
that the geometry of the density perturbation is an ellipsoid/thick-spirals and
another that assumes a geometry of flat-spirals for the density perturbation.
We find that the flat-spirals gap opening criterion successfully predicts which
simulations will have a gap on the disk and which simulations will not have a
gap on the disk. We also study the limiting cases predicted by the gap-opening
criteria. Since the viscosity in our simulations is considerably smaller than
the expected value in the nuclear regions of gas-rich merging galaxies, we
conclude that in such environments the formation of a circumbinary gap is
unlikely.


title: Chiral Edge Currents in a Holographic Josephson Junction

abstract:
  We discuss the Josephson effect and the appearance of dissipationless edge
currents in a holographic Josephson junction configuration involving a chiral,
time-reversal breaking, superconductor in 2+1 dimensions. Such a superconductor
is expected to be topological, thereby supporting topologically protected
gapless Majorana-Weyl edge modes. Such modes manifest themselves in chiral
dissipationless edge currents, which we exhibit and investigate in the context
of our construction. The physics of the Josephson current itself, though
expected to be unconventional in some non-equilibrium settings, is shown to be
conventional in our setup which takes place in thermal equilibrium. We comment
on various ways in which the expected Majorana nature of the edge excitations,
and relatedly the unconventional nature of topological Josephson junctions, can
be verified in the holographic context.


title: Meta-Weaves: Sector-way non-reciprocal meta surfaces

abstract:
  Confluent with the single dimension of time, breach of time-reversal symmetry
is usually perceived as a one-dimensional concept. In its ultimate
realization--the one-way guiding device--it allows optical propagation in one
direction, say $+z$, and forbids it in the opposite direction, $-z$. Hence, in
studies of time-reversal asymmetry the mapping $t\mapsto -t$ is naturally
associated with $z\mapsto -z$. However, strongly non-reciprocal or one-way
nano-scale threads can be used \emph{to weave meta-surfaces} thus adding
dimensions to this concept. In this new family of surfaces the aforementioned
association \emph{cannot be made}. An example of appropriate threads are the
planar one-way particle chains based on the two-type rotation principle. The
resulting surfaces--the meta-weaves--posses generalized non-reciprocity such as
"sector-way" propagation, and offer new possibilities for controlling light in
thin surfaces. We study several meta-weave designs and their asymmetries in the
wave-vector space.


title: On singular value inequalities for matrix means

abstract:
  For positive semidefinite $n\times n$ matrices $A$ and $B$, the singular
value inequality $(2+t)s_{j}(A^{r}B^{2-r}+A^{2-r}B^{r})\leq
2s_{j}(A^{2}+tAB+B^{2})$ is shown to hold for $r=\frac{1}{2}, 1, \frac{3}{2}$
and all $-2<t\leq 2$.


title:
A New Approach to Detailed Structural Decomposition: Kicked-up Disk
  Stars in Andromeda's Halo?

abstract:
  We characterize the bulge, disk, and halo subcomponents in the Andromeda
galaxy (M31) over the radial range 0.4 < R < 225 kpc. The cospatial nature of
these subcomponents renders them difficult to disentangle using surface
brightness (SB) information alone, especially interior to ~20 kpc. Our new
decomposition technique combines information from the luminosity function (LF)
of over 1.5 million bright (20 < I < 22) stars from the Panchromatic Hubble
Andromeda Treasury (PHAT) survey, radial velocities of over 5000 red giant
branch stars in the same magnitude range from the Spectroscopic and Photometric
Landscape of Andromeda's Stellar Halo (SPLASH) survey, and integrated I-band SB
profiles from various sources. We use an affine-invariant Markov chain Monte
Carlo algorithm to fit an appropriate toy model to these three data sets. The
bulge, disk, and halo SB profiles are modeled as a Sersic, exponential, and
cored power-law, respectively, and the LFs are modeled as broken power-laws. We
find that the number of stars with a disk-like LF is ~5% larger than the number
in the dynamically cold component, suggesting that some stars born in the disk
have been dynamically heated to the point that they are kinematically
indistinguishable from halo members. This is the first kinematical evidence for
a "kicked-up disk" population in the stellar halo of M31. The fraction of
kicked-up disk stars is consistent with that found in simulations. See Dorman
et al. (2013, submitted) for more information.


title:
High-resolution absorption spectroscopy of the circumgalactic medium of
  the Milky Way

abstract:
  In this article we discuss the importance of high-resolution absorption
spectroscopy for our understanding of the distribution and physical nature of
the gaseous circumgalactic medium (CGM) that surrounds the Milky Way.
Observational and theoretical studies indicate a high complexity of the gas
kinematics and an extreme multi-phase nature of the CGM in low-redshift
galaxies. High-precision absorption-line measurements of the Milky Way's gas
environment thus are essential to explore fundamental parameters of
circumgalactic gas in the local Universe, such as mass, chemical composition,
and spatial distribution. We shortly review important characteristics of the
Milky Way's CGM and discuss recent results from our multi-wavelength
observations of the Magellanic Stream. Finally, we discuss the potential of
studying the warm-hot phase of the Milky Way's CGM by searching for extremely
weak [FeX] l6374.5 and [FeIVX] l5302.9 absorption in optical QSO spectra.


title:
Characterizing a Dramatic $\Delta V\sim-9$ Flare on an Ultracool Dwarf
  Found by the ASAS-SN Survey

abstract:
  We analyze a $\Delta V\sim-9$ magnitude flare on the newly identified M8
dwarf SDSS J022116.84+194020.4 (hereafter SDSSJ0221) detected as part of the
All-Sky Automated Survey for Supernovae (ASAS-SN). Using infrared and optical
spectra, we confirm that SDSSJ0221 is a relatively nearby (d$\sim$76 pc) M8
dwarf with strong quiescent H$\alpha$ emission. Based on kinematics and the
absence of features consistent with low-gravity (young) ultracool dwarfs, we
place a lower limit of 200 Myr on the age of SDSSJ0221. When modeled with a
simple, classical flare light-curve, this flare is consistent with a total
$U$-band flare energy $E_U\sim$ 10$^{34}$ erg, confirming that the most
dramatic flares are not limited to warmer, more massive stars. Scaled to
include a rough estimate of the emission line contribution to the $V$ band, we
estimate a blackbody filling factor of $\sim$$10-30\%$ during the flare peak
and $\sim$$0.5-1.6\%$ during the flare decay phase. These filling factors
correspond to flare areas that are an order of magnitude larger than those
measured for most mid-M dwarf flares.


title: VLA survey of the 22 GHz H2O masers toward 10 silicate carbon stars

abstract:
  Despite their carbon-rich photospheres, silicate carbon stars show evidence
of oxygen-rich circumstellar material, which is considered to exist in disks.
Silicate carbon stars represent interesting cases that allow us to study the
possible effects of binarity on stellar evolution and the mass loss accompanied
by the formation of disks. We present a small survey of the 22 GHz H2O masers
toward 10 silicate carbon stars with much better sensitivity than the previous
observations. We observed our sample with the Karl G. Jansky Very Large Array
(VLA) using the most expanded configuration (A-configuration) with a maximum
baseline of 36 km. For some of our program stars with noisy IRAS Low Resolution
Spectra (LRS), we present new mid-IR spectra obtained with the Very Large
Telescope Interferometer and the Spitzer Space Telescope. We detected the H2O
masers toward 5 out of 10 silicate carbon stars (EU And, V778 Cyg,
IRAS06017+1011, V1415 Cyg, and NC83=V1945 Cyg), with NC83 being new detection.
No H2O masers were detected toward BM Gem, IRAS07221-0431, IRAS08002-3803,
IRAS18006-3213, and HD189605. The velocity separation between the most blue-
and red-shifted maser features is 10--14 km/s. If we assume that the masers
originate in circum-companion disks, the measured velocity separations
translate into a lower limit of the rotational velocity of 5--7 km/s, and the
upper limit of the radius of the maser emitting region is estimated to be
10--68 AU for a companion mass of 0.5--1.7 Msun. The new mid-IR spectra of
NC83, IRAS06017+1011, and HD189605 confirm the 10 micron silicate emission. The
latter two stars show a bump at ~11.5 micron, which is presumably due to SiC
originating in the ongoing mass loss from the carbon-rich primary star, not due
to crystalline silicate. We also report on the detection of the UV flux at 2271
A toward HD189605.


title:
Using the Discrete Dipole Approximation and Holographic Microscopy to
  Measure Rotational Dynamics of Non-spherical Colloidal Particles

abstract:
  We present a new, high-speed technique to track the three-dimensional
translation and rotation of non-spherical colloidal particles. We capture
digital holograms of micrometer-scale silica rods and sub-micrometer-scale
Janus particles freely diffusing in water, and then fit numerical scattering
models based on the discrete dipole approximation to the measured holograms.
This inverse-scattering approach allows us to extract the the position and
orientation of the particles as a function of time, along with static
parameters including the size, shape, and refractive index. The best-fit sizes
and refractive indices of both particles agree well with expected values. The
technique is able to track the center of mass of the rod to a precision of 35
nm and its orientation to a precision of 1.5$^\circ$, comparable to or better
than the precision of other 3D diffusion measurements on non-spherical
particles. Furthermore, the measured translational and rotational diffusion
coefficients for the silica rods agree with hydrodynamic predictions for a
spherocylinder to within 0.3%. We also show that although the Janus particles
have only weak optical asymmetry, the technique can track their 2D translation
and azimuthal rotation over a depth of field of several micrometers, yielding
independent measurements of the effective hydrodynamic radius that agree to
within 0.2%. The internal and external consistency of these measurements
validate the technique. Because the discrete dipole approximation can model
scattering from arbitrarily shaped particles, our technique could be used in a
range of applications, including particle tracking, microrheology, and
fundamental studies of colloidal self-assembly or microbial motion.


title:
125 GeV Higgs and enhanced diphoton signal of a light singlet-like
  scalar in NMSSM

abstract:
  NMSSM with a light singlet-like scalar and strongly suppressed couplings to
$b$ and $\tau$ is investigated. It is shown that in such a scenario the
singlet-like scalar to diphoton signal can be larger than for the SM Higgs for
a wide range of masses between 60 and 110 GeV, in agreement with all the LEP
and LHC data. Enhancement of the singlet-like scalar to diphoton signal is
correlated with positive correction to the SM-like Higgs mass from mixing
between SM-like Higgs and the singlet. It is also shown that the couplings to
$b$ and $\tau$ and, in consequence, branching ratios of the SM-like Higgs are
anti-correlated with those of the singlet-like scalar. If the singlet-like
scalar to diphoton signal is enhanced, the signal strengths of the 125 GeV
Higgs in the diphoton and $WW^*/ZZ^*$ channels are predicted to be smaller than
for the SM Higgs.


title: On Derivation of Goldman Bracket

abstract:
  In this paper, we obtain an infinite dimensional Lie algebra of exotic gauge
invariant observables that is closed under Goldman-type bracket associated with
monodromy matrices of flat connections on a compact Riemann surface for $G_{2}$
gauge group. As a by-product, we give an alternative derivation of known
Goldman bracket for classical gauge groups $GL(n,\mathbb{R})$,
$SL(n,\mathbb{R})$, $U(n)$, $SU(n)$, $Sp(2n,\mathbb{R})$ and $SO(n)$.


title: The Torus-Equivariant Cohomology of Nilpotent Orbits

abstract:
  We consider aspects of the geometry and topology of nilpotent orbits in
finite-dimensional complex simple Lie algebras. In particular, we give the
equivariant cohomologies of the regular and minimal nilpotent orbits with
respect to the action of a maximal compact torus of the overall group in
question.


title: Enveloping operads and bicoloured noncrossing configurations

abstract:
  An operad structure on certain bicoloured noncrossing configurations in
regular polygons is studied. Motivated by this study, a general functorial
construction of enveloping operad, with input a coloured operad and output an
operad, is presented. The operad of noncrossing configurations is shown to be
the enveloping operad of a coloured operad of bubbles. Several suboperads are
also investigated, and described by generators and relations.


title:
Natural CMT2 variation is associated with genome-wide methylation
  changes and temperature adaptation

abstract:
  A central problem when studying adaptation to a new environment is the
interplay between genetic variation and phenotypic plasticity. Arabidopsis
thaliana has colonized a wide range of habitats across the world and it is
therefore an attractive model for studying the genetic mechanisms underlying
environmental adaptation 4,5. Here, we used publicly available data from two
collections of A. thaliana accessions, covering the native range of the
species, to identify loci associated with differences in climates at the
sampling sites. To address the confounding between geographic location, climate
and population structure, a new genome-wide association analysis method was
developed that facilitates detection of potentially adaptive loci where the
alternative alleles display different tolerable climate ranges. Sixteen novel
such loci, many of which contained candidate genes with amino acid changes,
were found including a strong association between Chromomethylase 2 (CMT2) and
variability in seasonal temperatures. The reference allele dominated in areas
with less seasonal variability in temperature, and the alternative allele,
which disrupts genome-wide CHH-methylation, existed in both stable and variable
regions. Our results link natural variation in CMT2, and differential
genome-wide CHH methylation, to the distribution of A. thaliana accessions
across habitats with different seasonal temperature variability. They also
suggest a role for genetic regulation of epigenetic modifications in natural
adaptation, potentially through differential allelic plasticity, and illustrate
the importance of re-analyses of existing data using new analytical methods to
obtain a more complete understanding of the mechanisms contributing to
adaptation.


title: Superconductivity in non-centrosymmetric LaNiC2

abstract:
  We present a discussion of superconductivity in non-centrosymmetric
superconductors with spin-orbit coupling. A general expression for the
quasiparticle excitation energy is derived. The superconducting states for the
point group C2v are classified by symmetry in the limit of weak spin-orbit
coupling. A non-unitary triplet pairing gap function can account for
observations of broken time-reversal symmetry and nodes in the superconducting
state of LaNiC2; however such a gap function also has a gapless branch and
requires vanishing spin-orbit coupling.


title:
On the convergence of an approximate deconvolution model to the 3D mean
  Boussinesq equations

abstract:
  In this paper we study a Large Eddy Simulation (LES) model for the
approximation of large scales of the 3D Boussinesq equations. This model is
obtained using the approach first described by Stolz and Adams, based on the
Van Cittern approximate deconvolution operators, and applied to the filtered
Boussinesq equations. Existence and uniqueness of a regular weak solution are
provided. Our main objective is to prove that this solution converges towards a
solution of the filtered Boussinesq equations, as the deconvolution parameter
goes to zero.


title:
Time-Reversal Invariant Topological Superconductivity Induced by
  Repulsive Interactions in Quantum Wires

abstract:
  We consider a model for a one-dimensional quantum wire with Rashba spin-orbit
coupling and repulsive interactions, proximity coupled to a conventional s-wave
superconductor. Using a combination of Hartree-Fock and density matrix
renormalization group calculations, we show that for sufficiently strong
interactions in the wire, a time-reversal invariant topological superconducting
phase can be stabilized in the absence of an external magnetic field. This
phase supports two zero-energy Majorana bound states at each end, which are
protected by time-reversal symmetry. The mechanism for the formation of this
phase is a reversal of the sign of the effective pair potential in the wire,
due to the repulsive interactions. We calculate the differential conductance
into the wire and its dependence on an applied magnetic field using the
scattering-matrix formalism. The behavior of the zero-bias anomaly as a
function of the field direction can serve as a distinct experimental signature
of the topological phase.


title: Statistics of the two-star ERGM

abstract:
  In this paper, we explore the two-star Exponential Random Graph Model, which
is a two parameter exponential family on the space of simple labeled graphs. We
introduce auxiliary variables to express the two-star model as a mixture of the
$\beta$ model on networks. Using this representation, we study asymptotic
distribution of the number of edges, and the sampling variance of the degrees.
In particular, the limiting distribution for the number of edges has similar
phase transition behavior to that of the magnetization in the Curie-Weiss Ising
model of Statistical Physics. Using this, we show existence of consistent
estimates for both parameters in all parameter domains. Finally, we prove that
the centered partial sum of degrees converges as a process to a Brownian bridge
in all parameter domains, irrespective of the phase transition.


title:
Helium enhanced stars and multiple populations along the horizontal
  branch of NGC2808: direct spectroscopic measurements

abstract:
  We present an abundance analysis of 96 horizontal branch (HB) stars in
NGC2808, a globular cluster exhibiting a complex multiple stellar population
pattern. These stars are distributed in different portions of the HB and cover
a wide range of temperature. By studying the chemical abundances of this
sample, we explore the connection between HB morphology and the chemical
enrichment history of multiple stellar populations. For stars lying on the red
HB, we use GIRAFFE and UVES spectra to determine Na, Mg, Si, Ca, Sc, Ti, Cr,
Mn, Fe, Ni, Zn, Y, Ba, and Nd abundances. For colder, blue HB stars, we derive
abundances for Na, primarily from GIRAFFE spectra. We were also able to measure
direct NLTE He abundances for a subset of these blue HB stars with temperature
higher than ~9000 K. Our results show that: (i) HB stars in NGC2808 show
different content in Na depending on their position in the color-magnitude
diagram, with blue HB stars having higher Na than red HB stars; (ii) the red HB
is not consistent with an uniform chemical abundance, with slightly warmer
stars exhibiting a statistically significant higher Na content; and (iii) our
subsample of blue HB stars with He abundances shows evidence of enhancement
with respect to the predicted primordial He content by Delta(Y)=+0.09+-0.01.
Our results strongly support theoretical models that predict He enhancement
among second generation(s) stars in globular clusters and provide observational
constraints on the second-parameter governing HB morphology.


title: Serrin's Overdetermined Problem and Constant Mean Curvature Surfaces

abstract:
  For all $N \geq 9$, we find smooth entire epigraphs in $\R^N$, namely smooth
domains of the form $\Omega : = \{x\in \R^N\ / \ x_N > F (x_1,\ldots,
x_{N-1})\}$, which are not half-spaces and in which a problem of the form
  $\Delta u + f(u) = 0 $ in $\Omega$ has a positive, bounded solution with 0
Dirichlet boundary data and constant Neumann boundary data on $\partial
\Omega$. This answers negatively for large dimensions a question by Berestycki,
Caffarelli and Nirenberg \cite{bcn2}. In 1971, Serrin \cite{serrin} proved that
a bounded domain where such an overdetermined problem is solvable must be a
ball, in analogy to a famous result by Alexandrov that states that an embedded
compact surface with constant mean curvature (CMC) in Euclidean space must be a
sphere. In lower dimensions we succeed in providing examples for domains whose
boundary is close to large dilations of a given CMC surface where Serrin's
overdetermined problem is solvable.


title: Precision proton spectrometers for CMS

abstract:
  We plan to add high precision tracking- and timing-detectors at z = +/- 240 m
to CMS to study exclusive processes p + p -- p + X + p at high luminosity. This
enables the LHC to be used as a tagged photon-photon collider, with X = l+l-
and W+W-, and as a "tagged" gluon-gluon collider (with a spectator gluon) for
QCD studies with jets. A second stage at z = 240 m would allow observations of
exclusive Higgs boson production.


title: A fluid-mechanical model of elastocapillary coalescence

abstract:
  We present a fluid-mechanical model of the coalescence of a number of elastic
objects due to surface tension. We consider an array of spring-block elements
separated by thin liquid films, whose dynamics are modelled using lubrication
theory. With this simplified model of elastocapillary coalescence, we present
the results of numerical simulations for a large number of elements,
$N=O(10^4)$. A linear stability analysis shows that pairwise coalescence is
always the most unstable mode of deformation. However, the numerical
simulations show that the cluster sizes actually produced by coalescence from a
small white-noise perturbation have a distribution that depends on the relative
strength of surface tension and elasticity, as measured by an elastocapillary
number $K$. Both the maximum cluster size and the mean cluster size scale like
$K^{-1/2}$ for small $K$. An analytical solution for the response of the system
to a localized perturbation shows that such perturbations generate propagating
disturbance fronts, which leave behind `frozen-in' clusters of a predictable
size that also depends on $K$. A good quantitative comparison between the
cluster-size statistics from noisy perturbations and this `frozen-in' cluster
size suggests that propagating fronts may play a crucial role in the dynamics
of coalescence.


title: Non-Gaussianities in Dissipative EFT of Inflation Coupled to a Fluid

abstract:
  We studied models of inflation with a preferred clock specifying the end of
inflation and giving the curvature perturbations, coupled with another
non-equivalent clock that at late times defines the same frame and do not
contribute to the density perturbations. This can happen in the framework of
dissipative EFT of inflation where the additional degrees of freedom include a
fluid developing sound waves propagating with sound speed $c_{sr}$. The fluid
defines a preferred frame comoving with it. The paradigmatic example of this is
the warm inflation scenario. We studied the dynamics of this systems during
inflation and the three-point function. We saw that in the strong dissipation
regime the nonlinear parameter induced by the new terms is $|f_{\rm NL}| \sim
1/c_{sr}^2$, not enhanced by the dissipation parameter which enters the
two-point function. We checked that the squeezed limit of the three-point
function still satisfies the consistency condition with corrections of order
$\mathcal{O}(k_L^2/k_S^2)$. We computed the Planck constraints for the case of
warm inflation obtaining a bound of $\gamma\lesssim 10^5 H$ for the clock
coupled to radiation. For decreasing sound speed the bound decreases. We also
checked that the shape of the three-point function corresponding to the model
studied here is a mixture between equilateral and orthogonal with a small local
component, which is more consistent with Planck's results.


title:
Nodal Sets of Random Eigenfunctions for the Isotropic Harmonic
  Oscillator

abstract:
  We consider Gaussian random eigenfunctions (Hermite functions) of fixed
energy level of the isotropic semi-classical Harmonic Oscillator on ${\bf
R}^n$. We calculate the expected density of zeros of a random eigenfunction in
the semi-classical limit $h \to 0.$ In the allowed region the density is of
order $h^{-1},$ while in the forbidden region the density is of order
$h^{-\frac{1}{2}}$. The computer graphics due to E.J. Heller illustrate this
difference in "frequency" between the allowed and forbidden nodal sets.


title: Ultrafilter extensions of linear orders

abstract:
  It was recently shown that arbitrary first-order models canonically extend to
models (of the same language) consisting of ultrafilters. The main precursor of
this construction was the extension of semigroups to semigroups of
ultrafilters, a technique allowing to obtain significant results in algebra and
dynamics. Here we consider another particular case where the models are
linearly ordered sets. We explicitly calculate the extensions of a given linear
order and the corresponding operations of minimum and maximum on a set. We show
that the extended relation is not more an order however is close to the natural
linear ordering of nonempty half-cuts of the set and that the two extended
operations define a skew lattice structure on the set of ultrafilters.


title: Causality and the Modeling of the Measurement Process in Quantum Theory

abstract:
  In this paper we provide a general account of the causal models which attempt
to provide a solution to the famous measurement problem of Quantum Mechanics
(QM). We will argue that --leaving aside instrumentalism which restricts the
physical meaning of QM to the algorithmic prediction of measurement outcomes--
the many interpretations which can be found in the literature can be
distinguished through the way they model the measurement process, either in
terms of the efficient cause or in terms of the final cause. We will discuss
and analyze why both, 'final cause' and 'efficient cause' models, face severe
difficulties to solve the measurement problem. In contradistinction to these
schemes we will present a new model based on the immanent cause which, we will
argue, provides an intuitive understanding of the measurement process in QM.


title: Quark-Novae Ia in the Hubble diagram: Implications For Dark Energy

abstract:
  The accelerated expansion of the Universe was proposed through the use of
Type-Ia SNe as standard candles. The standardization depends on an empirical
correlation between the stretch/color and peak luminosity of the light curves.
The use of Type Ia SN as standard candles rests on the assumption that their
properties (and this correlation) do not vary with red-shift. We consider the
possibility that the majority of Type-Ia SNe are in fact caused by a Quark-Nova
detonation in a tight neutron-star-CO-white-dwarf binary system; a Quark-Nova
Ia. The spin-down energy injected by the Quark Nova remnant (the quark star)
contributes to the post-peak light curve and neatly explains the observed
correlation between peak luminosity and light curve shape. We demonstrate that
the parameters describing Quark-Novae Ia are NOT constant in red-shift.
Simulated Quark-Nova Ia light curves provide a test of the stretch/color
correlation by comparing the true distance modulus with that determined using
SN light curve fitters. We determine a correction between the true and fitted
distance moduli which when applied to Type-Ia SNe in the Hubble diagram
recovers the Omega_M = 1 cosmology. We conclude that Type-Ia SNe observations
do not necessitate the need for an accelerating expansion of the Universe (if
the observed SNe-Ia are dominated by QNe-Ia) and by association the need for
Dark Energy.


title: Automated lattice perturbation theory

abstract:
  I review recent developments in automated lattice perturbation theory.
Starting with an overview of lattice perturbation theory, I focus on the three
automation packages currently "on the market": HiPPy/HPsrc, Pastor and
PhySyCAl. I highlight some recent applications of these methods, particularly
in B physics. In the final section I briefly discuss the related, but distinct,
approach of numerical stochastic perturbation theory.


title: The Head and Tail of the Colored Jones Polynomial for Adequate Knots

abstract:
  We show that the head and tail functions of the colored Jones polynomial of
adequate links are the product of head and tail functions of the colored Jones
polynomial of alternating links that can be read-off an adequate diagram of the
link. We apply this to strengthen a theorem of Kalfagianni, Futer and Purcell
on the fiberedness of adequate links.


title: The Origin of Fat Tails

abstract:
  We propose a random walk model of asset returns where the parameters depend
on market stress. Stress is measured by, e.g., the value of an implied
volatility index. We show that model parameters including standard deviations
and correlations can be estimated robustly and that all distributions are
approximately normal. Fat tails in observed distributions occur because time
series sample different stress levels and therefore different normal
distributions. This provides a quantitative description of the observed
distribution including the fat tails. We discuss simple applications in risk
management and portfolio construction.


title:
Modeling the coupled return-spread high frequency dynamics of large tick
  assets

abstract:
  Large tick assets, i.e. assets where one tick movement is a significant
fraction of the price and bid-ask spread is almost always equal to one tick,
display a dynamics in which price changes and spread are strongly coupled. We
introduce a Markov-switching modeling approach for price change, where the
latent Markov process is the transition between spreads. We then use a finite
Markov mixture of logit regressions on past squared returns to describe the
dependence of the probability of price changes. The model can thus be seen as a
Double Chain Markov Model. We show that the model describes the shape of return
distribution at different time aggregations, volatility clustering, and the
anomalous decrease of kurtosis of returns. We calibrate our models on Nasdaq
stocks and we show that this model reproduces remarkably well the statistical
properties of real data.


title: Scalar perturbations in cosmological models with quark nuggets

abstract:
  In this paper we consider the Universe at the late stage of its evolution and
deep inside the cell of uniformity. At these scales, the Universe is filled
with inhomogeneously distributed discrete structures (galaxies, groups and
clusters of galaxies). Supposing that a small fraction of colored objects
escaped hadronization and survived up to now in the form of quark-gluon nuggets
(QNs), and also taking into account radiation, we investigate scalar
perturbations of the FRW metrics due to inhomogeneities of dustlike matter as
well as fluctuations of QNs and radiation. In particular, we demonstrate that
the nonrelativistic gravitational potential is defined by the distribution of
inhomogeneities/fluctuations of both dustlike matter and QNs. Consequently, QNs
can be distributed around the baryonic inhomogeneities (e.g., galaxies) in such
a way that it can solve the problem of the flatness of the rotation curves. We
also show that the fluctuations of radiation are caused by both the
inhomogeneities in the form of galaxies and the fluctuations of quark-gluon
nuggets. Therefore, if QNs exist, the CMB anisotropy should contain also the
contributions from QNs. Additionally, the spatial distribution of the radiation
fluctuations is defined by the gravitational potential. All these results look
physically reasonable.


title:
A Dynamic Programming Solution to the Monotonic Path of Minimal Cost in
  a 3-Rows Matrix

abstract:
  We consider the problem of finding the path of minimal cost going from left
to right in a 3-rows matrix, starting at the third row, and not going
downwards, where there is an additional cost related to not changing rows, such
that the higher the change in intensity within the row, the higher the cost of
not moving upwards.


title: Particle identification with the iTOP detector at Belle-II

abstract:
  The Belle-II experiment and superKEKB accelerator will form a next generation
B-factory at KEK, capable of running at an instantaneous luminosity 40 times
higher than the Belle detector and KEKB. This will allow for the elucidation of
many facets of the Standard Model by performing precision measurements of its
parameters, and provide sensitivity to many rare decays that are currently
inaccessible. This will require major upgrades to both the accelerator and
detector subsystems. The imaging Time-of-propagation (iTOP) detector will be a
new subdetector of Belle-II that will perform an integral role in Particle
identification (PID). It will comprise 16 modules between the tracking
detectors and calorimeter; each module consisting of a quartz radiator,
approximately 2.5m in length, instrumented with an array of 32 micro-channel
plate photodetectors (MCP-PMTs). The passage of charged particles through the
quartz will produce a cone of Cherenkov photons that will propagate along the
length of the quartz, and be detected by the MCP-PMTs. The excellent spatial,
and timing resolution (of 50 picoseconds) of the iTOP system will provide
superior particle identification capabilities, particularly allowing for
enhanced discrimination between pions and kaons that will be essential for many
of the key measurements to performed. The status of the construction of the
iTOP subdetector, and performance studies of prototypes at beam tests will be
presented, together with prospects for physics measurements that will utilise
the PID capabilities of the iTOP system.


title: Selective decay in fluids with advected quantities: MHD and Hall MHD

abstract:
  Modifications of the equations of ideal fluid dynamics with advected
quantities are introduced that allow selective decay of either the energy $h$
or the Casimir quantities $C$ in the Lie-Poisson formulation. The dissipated
quantity (energy or Casimir, respectively) is shown to decrease in time until
the modified system reaches an equilibrium state consistent with ideal
energy-Casimir equilibria, namely $\delta(h+C)=0$. The result holds for
Lie-Poisson equations in general, independently of the Lie algebra and the
choice of Casimir. This selective decay process is illustrated with a number of
examples in 2D and 3D magnetohydrodynamics (MHD).

categories: physics.plasm-ph math-ph math.MP physics.flu-dyn


title: Robust Device-Independent Randomness Amplification with Few Devices

abstract:
  Randomness amplification is the task of transforming a source of somewhat
random bits into a source of fully random bits. Although it is impossible to
amplify randomness from a single source by classical means, the situation is
different considering non-local correlations allowed by quantum mechanics. Here
we give the first device-independent protocol for randomness amplification
using a constant number of devices. The protocol involves four devices, can
amplify any non-deterministic source into a fully random source, tolerates a
constant rate of error, and has its correctness based solely on the assumption
of no-signaling between the devices. In contrast all previous protocols either
required an unbounded number of devices, or could only amplify sources
sufficiently close to fully random.


title: Decentralized stochastic control

abstract:
  Decentralized stochastic control refers to the multi-stage optimization of a
dynamical system by multiple controllers that have access to different
information. Decentralization of information gives rise to new conceptual
challenges that require new solution approaches. In this expository paper, we
use the notion of an \emph{information-state} to explain the two commonly used
solution approaches to decentralized control: the person-by-person approach and
the common-information approach.


title:
Distributed Representations of Words and Phrases and their
  Compositionality

abstract:
  The recently introduced continuous Skip-gram model is an efficient method for
learning high-quality distributed vector representations that capture a large
number of precise syntactic and semantic word relationships. In this paper we
present several extensions that improve both the quality of the vectors and the
training speed. By subsampling of the frequent words we obtain significant
speedup and also learn more regular word representations. We also describe a
simple alternative to the hierarchical softmax called negative sampling. An
inherent limitation of word representations is their indifference to word order
and their inability to represent idiomatic phrases. For example, the meanings
of "Canada" and "Air" cannot be easily combined to obtain "Air Canada".
Motivated by this example, we present a simple method for finding phrases in
text, and show that learning good vector representations for millions of
phrases is possible.


title: Autocatalytic sets in a partitioned biochemical network

abstract:
  In previous work, RAF theory has been developed as a tool for making
theoretical progress on the origin of life question, providing insight into the
structure and occurrence of self-sustaining and collectively autocatalytic sets
within catalytic polymer networks. We present here an extension in which there
are two "independent" polymer sets, where catalysis occurs within and between
the sets, but there are no reactions combining polymers from both sets. Such an
extension reflects the interaction between nucleic acids and peptides observed
in modern cells and proposed forms of early life.


title: Supersolid phases of light in extended Jaynes-Cummings-Hubbard systems

abstract:
  Jaynes-Cummings-Hubbard lattices provide unique properties for the study of
correlated phases as they exhibit convenient state preparation and measurement,
as well as "in situ" tuning of parameters. We show how to realize charge
density and supersolid phases in Jaynes-Cummings-Hubbard lattices in the
presence of long-range interactions. The long-range interactions are realized
by the consideration of Rydberg states in coupled atom-cavity systems and the
introduction of additional capacitive couplings in quantum-electrodynamics
circuits. We demonstrate the emergence of supersolid and checkerboard solid
phases, for calculations which take into account nearest neighbour couplings,
through a mean-field decoupling.


title: Flavor corrections to the entanglement entropy

abstract:
  We consider the holographic entanglement entropy in N=4 SYM coupled to
massive flavor degrees of freedom. The flavors are introduced by putting D7
branes in AdS_5. The resulting geometry including the backreaction of the
branes is known in a perturbation expansion in the ratio N_f/N_c. We consider
the expansion to first order, and compute the entanglement entropy of a region
of the boundary. We consider two different cases for the geometry of the
region: a slab and a ball. We find analytic solutions for the minimal surfaces
in the bulk whose area gives the entropy, and analyze the structure of the UV
divergence and the dependence on the masses. Our results confirm the general
structure that was predicted by free field theory calculations, but with
coefficients that depend on the coupling.


title:
Synchronization of Nonlinear Circuits in Dynamic Electrical Networks
  with General Topologies

abstract:
  Sufficient conditions are derived for global asymptotic synchronization in a
system of identical nonlinear electrical circuits coupled through linear
time-invariant (LTI) electrical networks. In particular, the conditions we
derive apply to settings where: i) the nonlinear circuits are composed of a
parallel combination of passive LTI circuit elements and a nonlinear
voltage-dependent current source with finite gain; and ii) a collection of
these circuits are coupled through either uniform or homogeneous LTI electrical
networks. Uniform electrical networks have identical per-unit-length
impedances. Homogeneous electrical networks are characterized by having the
same effective impedance between any two terminals with the others open
circuited. Synchronization in these networks is guaranteed by ensuring the
stability of an equivalent coordinate-transformed differential system that
emphasizes signal differences. The applicability of the synchronization
conditions to this broad class of networks follows from leveraging recent
results on structural and spectral properties of Kron reduction---a
model-reduction procedure that isolates the interactions of the nonlinear
circuits in the network. The validity of the analytical results is demonstrated
with simulations in networks of coupled Chua's circuits.


title:
Topological nature of magnetization plateaus in periodically modulated
  quantum spin chains

abstract:
  We unveil nontrivial topological properties of zero-temperature magnetization
plateau states in periodically modulated quantum spin chains under a uniform
magnetic field. As positions of plateaus are uniquely determined by the
modulation period of exchange couplings, we find that the topologically
nontrivial plateau state can be characterized by a nonzero integer Chern number
and has nontrivial edge excitations. Our study clarifies the topological origin
of the well-known phenomena of quantized magnetization plateaus in
one-dimensional quantum spin systems and relates the plateau state to the
correlated topological insulator.


title: On the Consistency of Compressed Modes for Variational Problems

abstract:
  This paper provides theoretical consistency results for compressed modes. We
prove that as L1 regularization term in certain non-convex variational
optimization problems vanishes, the solutions of the optimization problem and
the corresponding eigenvalues converge to Wannier-like functions and the
eigenvalues of the Hamiltonian, respectively.


title: Measuring Metallicities with HST/WFC3 photometry

abstract:
  We quantified and calibrated the metallicity and temperature sensitivities of
colors derived from nine Wide Field Camera 3 (WFC3) filters aboard the Hubble
Space Telescope using Dartmouth isochrones and Kurucz atmospheres models. The
theoretical isochrone colors were tested and calibrated against observations of
five well studied galactic clusters: M92, NGC 6752, NGC 104, NGC 5927, and NGC
6791, all of which have spectroscopically determined metallicities spanning
-2.30 < [Fe/H] < +0.4. We found empirical corrections to the Dartmouth
isochrone grid for each of the following color magnitude diagrams (CMD)
(F555W--F814W, F814W), (F336W-F555W, F814W), (F390M-F555W, F814W) and
(F390W-F555W, F814W). Using the empirical corrections we tested the accuracy
and spread of the photometric metallicities assigned from CMDs and color-color
diagrams (which are necessary to break the age-metallicity degeneracy). Testing
three color-color diagrams [(F336W-F555W),(F390M-F555W),(F390W-F555W), vs
(F555W-F814W)], we found the colors (F390M-F555W) and (F390W-F555W), to be the
best suited to measure photometric metallicities. The color (F390W-F555W)
requires much less integration time, but generally produces wider metallicity
distributions, and, at very-low metallicity, the MDF from (F390W-F555W) is ~60%
wider than that from (F390M-F555W). Using the calibrated isochrones we
recovered the overall cluster metallicity to within ~0.1 dex in [Fe/H] when
using CMDs (i.e. when the distance, reddening and ages are approximately
known). The measured metallicity distribution function (MDF) from color-color
diagrams show this method measures metallicities of stellar clusters of unknown
age and metallicity with an accuracy of ~0.2 - 0.5 dex using F336W--F555W,
~0.15 - 0.25 dex using F390M-F555W, and ~0.2 - 0.4 dex with F390W-F555W, with
the larger uncertainty pertaining to the lowest metallicity range.


title:
Jet and underlying event properties as a function of particle
  multiplicity in proton-proton collisions at sqrt(s) = 7 TeV

abstract:
  Characteristics of multi-particle production in proton-proton collisions at
sqrt(s) = 7 TeV are studied as a function of the charged-particle multiplicity,
N[ch]. The produced particles are separated into two classes: those belonging
to jets and those belonging to the underlying event. Charged particles are
measured with pseudorapidity abs(eta) < 2.4 and transverse momentum pt > 0.25
GeV. Jets are reconstructed from charged-particles only and required to have pt
> 5 GeV. The distributions of jet pt, average pt of charged particles belonging
to the underlying event or to jets, jet rates, and jet shapes are presented as
functions of N[ch] and compared to the predictions of the PYTHIA and HERWIG
event generators. Predictions without multi-parton interactions fail completely
to describe the N[ch]-dependence observed in the data. For increasing N[ch],
PYTHIA systematically predicts higher jet rates and harder pt spectra than seen
in the data, whereas HERWIG shows the opposite trends. At the highest
multiplicity, the data-model agreement is worse for most observables,
indicating the need for further tuning and/or new model ingredients.


title: Simulation with Fluctuating and Singular Rates

abstract:
  In this paper we present a method to generate independent samples for a
general random variable, either continuous or discrete. The algorithm is an
extension of the acceptance-rejection method, and it is particularly useful for
kinetic simulation in which the rates are fluctuating in time and have singular
limits, as occurs for example in simulation of recombination interactions in a
plasma. Although it depends on some additional requirements, the new method is
easy to implement and rejects less samples than the acceptance-rejection
method.


title:
SERS Plasmonic Enhancement using DNA Origami-based Complex Metallic
  Nanostructures

abstract:
  DNA origami is a novel self-assembly technique allowing one to form various
2D shapes and position matter with nanometer accuracy. It has been used to
coordinate placement of nanoscale objects, both organic and inorganic; to make
molecular motors and walkers; and to create optically active nanostructures.
Here we use DNA origami templates to engineer Surfaced Enhanced Raman
Scattering (SERS) substrates. Specifically, gold nanoparticles were selectively
attached to the corners of rectangular origami and subsequently enlarged via
solution-based metal deposition. The resulting assemblies were designed to form
"hot spots" of enhanced electromagnetic field between the nanoparticles. We
observed a significant enhancement of the Raman signal from molecules
covalently attached to the assemblies, as compared to control nanoparticle
samples which lack inter-particle hot spots. Our method opens up the prospects
of using DNA origami to rationally engineer and assemble plasmonic structures
for molecular spectroscopy.


title: Half-flat Quantum Hair

abstract:
  By wrapping D3-branes over 3-cycles on a half-flat manifold we construct an
effective supersymmetric black hole in the N=2 low-energy theory in
four-dimensions. Specifically we find that the torsion cycles present in a
half-flat compactification, corresponding to the mirror symmetric image of
electric NS flux on a Calabi-Yau manifold, manifest in the half-flat black hole
as quantum hair. We compute the electric and magnetic charges related to the
quantum hair, and also the mass contribution to the effective black hole. We
find that by wrapping a number of D3-branes equal to the order of the discrete
group associated to the torsional part of the half-flat homology, the effective
charge and mass terms vanishes. We compute the variation of entropy and the
corresponding temperature associated with the lost of quantum hair. We also
comment on the equivalence between canceling Freed-Witten anomaly and the
assumption of self-duality for the 5-form field strength. Finally from a
K-theoretical perspective, we compute the presence of discrete RR charge of
D-branes wrapping torsional cycles in a half-flat manifold.


title: Hydrodynamic limit of the Gross-Pitaevskii equation

abstract:
  We study dynamics of vortices in solutions of the Gross-Pitaevskii equation
$i \partial_t u = \Delta u + \varepsilon^{-2} u (1 - |u|^2)$ on $\mathbb{R}^2$
with nonzero degree at infinity. We prove that vortices move according to the
classical Kirchhoff-Onsager ODE for a small but finite coupling parameter
$\varepsilon$. By carefully tracking errors we allow for asymptotically large
numbers of vortices, and this lets us connect the Gross-Pitaevskii equation on
the plane to two dimensional incompressible Euler equations through the work of
Schochet [21].


title:
On some cocycles which represent the Dixmier-Douady class in simplicial
  de Rham complexes

abstract:
  When a Lie group $G$ has a central $U(1)$-extension, there is a cocycle in
the simplicial de Rham complex $\Omega^3(NG)$ which represents the
Dixmier-Douady class. Mickelsson and Brylinski, McLaughlin constructed a
central $U(1)$-extension $\widehat{LSU(2)} \rightarrow LSU(2)$ whose
Dixmier-Douady class in $\Omega^3(NLSU(2))$ is a kind of transgression of the
second Chern class.
  In this paper, we consider the case of unitary group and construct a central
$U(1)$-extension of $LU(2)$. After that we construct also a cocycle in a
certain triple complex.


title:
Nonequilibrium quantum criticality in open systems: The dissipation rate
  as an additional indispensable scaling variable

abstract:
  We propose that nonequilibrium quantum criticality in open systems at both
zero and finite temperatures can be described by a master equation of the
Lindblad form. We derive this equation from a system coupling microscopic to a
heat bath. It is suggested to be valid generally for studying dynamical quantum
criticality and is thus designated as Model Q upon generalizing Hohenberg and
Halperin's classification of classical critical dynamics. We find that the
dissipation rate in the equation must be included in the scaling forms as an
indispensable additional scaling variable in order to correctly describe the
nonequilibrium quantum critical behavior. Yet, the equilibrium fixed point
determines the nonequilibrium critical behavior in the weak coupling limit.
Through numerically solving the Lindblad equation for the quantum Ising chain,
we attest these propositions by finite-time scaling forms with the dissipation
rate. Nonequilibrium dynamic critical behavior of spontaneous emissions in
dissipative open systems at zero temperature near their quantum critical points
is found and is also described well by the scaling forms. Model Q thus provides
a general approach to study quantum critical behavior of a system itself
through its weak coupling to the environment.


title: Unfolding Orthogrids with Constant Refinement

abstract:
  We define a new class of orthogonal polyhedra, called orthogrids, that can be
unfolded without overlap with constant refinement of the gridded surface.


title:
A recursive construction of projective cubature formulas and related
  isometric embeddings

abstract:
  A recursive construction is presented for the projective cubature formulas of
index $p$ on the unit spheres $S(m,K)\subset K^m$ where $K$ is $R$ or $C$, or
$H$. This yields a lot of new upper bounds for the minimal number of nodes
$n=N_K(m,p)$ in such formulas or, equivalently, for the minimal $n$ such that
there exists an isometric embedding $\ell_{2; K}^m \rightarrow \ell_{p; K}^n$.


title: The non-existence of cubic Legendre multiplier sequences

abstract:
  The main result in this paper is the proof of the recently conjectured
non-existence of cubic Legendre multiplier sequences. We also give an
alternative proof of the non-existence of linear Legendre multiplier sequences,
using a method that will allow for a more methodical treatment of sequences
interpolated by higher degree polynomials.


title:
Strichartz estimates and nonlinear wave equation on nontrapping
  asymptotically conic manifolds

abstract:
  We prove the global-in-time Strichartz estimates for wave equations on the
nontrapping asymptotically conic manifolds. We obtain estimates for the full
set of wave admissible indices, including the endpoint. The key points are the
properties of the microlocalized spectral measure of Laplacian on this setting
showed in Hassell-Zhang and a Littlewood-Paley squarefunction estimate. As
applications, we prove the global existence and scattering for a family of
nonlinear wave equations on this setting.


title: Another Smallest Part Function related to Andrews' spt function

abstract:
  In this note, we offer some relations and congruences for an interesting
$spt$-type function.


title: Viscosity solutions of general viscous Hamilton-Jacobi equations

abstract:
  We present comparison principles, Lipschitz estimates and study state
constraints problems for degenerate, second-order Hamilton-Jacobi equations.


title:
Smoothed Particle Magnetohydrodynamics Simulations of Protostellar Jets
  and Turbulent Dynamos

abstract:
  We presents results from Smoothed Particle Magnetohydrodynamics simulations
of collapsing molecular cloud cores, and dynamo amplification of the magnetic
field in the presence of Mach 10 magnetised turbulence. Our star formation
simulations have produced, for the first time ever, highly collimated
magnetised protostellar jets from the first hydrostatic core phase. Up to 40%
of the initial core mass may be ejected through this outflow. The primary
difficulty in performing these simulations is maintaining the divergence free
constraint of the magnetic field, and to address this issue, we have developed
a new divergence cleaning method which has allowed us to stably follow the
evolution of these protostellar jets for long periods. The simulations
performed of supersonic MHD turbulence are able to exponentially amplify
magnetic energy by up to 10 orders of magnitude via turbulent dynamo. To reduce
numerical dissipation, a new shock detection algorithm is utilised which is
able to track magnetic shocks throughout a large range of magnetic field
strengths.


title:
Standard finite elements for the numerical resolution of the elliptic
  Monge-Ampere equation: Aleksandrov solutions

abstract:
  We prove a convergence result for a natural discretization of the Dirichlet
problem of the elliptic Monge-Ampere equation using finite dimensional spaces
of piecewise polynomial C0 or C1 functions. Standard discretizations of the
type considered in this paper have been previous analyzed in the case the
equation has a smooth solution and numerous numerical evidence of convergence
were given in the case of non smooth solutions. Our convergence result is valid
for non smooth solutions, is given in the setting of Aleksandrov solutions, and
consists in discretizing the equation in a subdomain with the boundary data
used as an approximation of the solution in the remaining part of the domain.
Our result gives a theoretical validation for the use of a non monotone finite
element method for the Monge-Amp\`ere equation.


title:
Gravitational-wave Limits from Pulsar Timing Constrain Supermassive
  Black Hole Evolution

abstract:
  The formation and growth processes of supermassive black holes (SMBHs) are
not well constrained. SMBH population models, however, provide specific
predictions for the properties of the gravitational-wave background (GWB) from
binary SMBHs in merging galaxies throughout the Universe. Using observations
from the Parkes Pulsar Timing Array, we constrain the fractional GWB energy
density with 95% confidence to be ${\Omega}_{GW}(H_0/73 {\rm km} {\rm s}^{-1}
{\rm Mpc}^{-1})^2 < 1.3 \times 10^{-9}$ at a frequency of 2.8 nHz, which is
approximately a factor of six more stringent than previous limits. We compare
our limit to models of the SMBH population and find inconsistencies at
confidence levels between 46% and 91%. For example, the standard galaxy
formation model implemented in the Millennium simulations is inconsistent with
our limit with 50% probability.


title:
Re-appraisal and extension of the Gratton-Vargas two-dimensional
  analytical snowplow model of plasma focus evolution in the context of
  contemporary research

abstract:
  Recent resurgence of interest in applications of dense plasma focus and
doubts about the conventional view of dense plasma focus as a purely
irrotational compressive flow have re-opened questions concerning device
optimization. In this context, this paper re-appraises and extends the
analytical snowplow model of plasma focus sheath evolution developed by F.
Gratton and J.M. Vargas (GV) (Energy Storage, Compression and Switching, Ed. V.
Nardi, H. Sahlin, and W. H. Bostick, Eds., vol. 2. New York: Plenum, 1983, p.
353) and shows its relevance to contemporary research. The GV model enables
construction of a special orthogonal coordinate system in which the plasma flow
problem can be simplified and a model of sheath structure can be formulated.
The LPP plasma focus facility, which reports neutron yield better than global
scaling law, is shown to be operating closer to an optimum operating point of
the GV model as compared with PF-1000.


title: Extended Connectors: Structuring Glue Operators in BIP

abstract:
  Based on a variation of the BIP operational semantics using the offer
predicate introduced in our previous work, we extend the algebras used to model
glue operators in BIP to encompass priorities. This extension uses the Algebra
of Causal Interaction Trees, T(P), as a pivot: existing transformations
automatically provide the extensions for the Algebra of Connectors. We then
extend the axiomatisation of T(P), since the equivalence induced by the new
operational semantics is weaker than that induced by the interaction semantics.
This extension leads to canonical normal forms for all structures and to a
simplification of the algorithm for the synthesis of connectors from Boolean
coordination constraints.


title: On Context Bisimulation for Parameterized Higher-order Processes

abstract:
  This paper studies context bisimulation for higher-order processes, in the
presence of parameterization (viz. abstraction). We show that the extension of
higher-order processes with process parameterization retains the
characterization of context bisimulation by a much simpler form of bisimulation
called normal bisimulation (viz. they are coincident), in which universal
quantifiers are eliminated; whereas it is not the same with name
parameterization. These results clarify further the bisimulation theory of
higher-order processes, and also shed light on the essential distinction
between the two kinds of parameterization.


title: Choreography Synthesis as Contract Agreement

abstract:
  We propose a formal model for distributed systems, where each participant
advertises its requirements and obligations as behavioural contracts, and where
multiparty sessions are started when a set of contracts allows to synthesise a
choreography. Our framework is based on the CO2 calculus for contract-oriented
computing, and borrows concepts and results from the session type literature.
  It supports sessions where the number of participants is not determined
beforehand, and keeps CO2's ability to rule out participants that are culpable
if contracts are not fulfilled at runtime. We show that we have progress and
session fidelity in CO2, as a result of the honesty of participants - i.e.,
their ability to always adhere to their contracts.