title: The Spitzer-HETDEX Exploratory Large-Area Survey

abstract:
  We present post-cryogenic Spitzer imaging at 3.6 and 4.5 micron with the
Infrared Array Camera (IRAC) of the Spitzer/HETDEX Exploratory Large-Area
(SHELA) survey. SHELA covers $\sim$deg$^2$ of the Sloan Digital Sky Survey
"Stripe 82" region, and falls within the footprints of the Hobby-Eberly
Telescope Dark Energy Experiment (HETDEX) and the Dark Energy Survey. The
HETDEX blind R $\sim$ 800 spectroscopy will produce $\sim$ 200,000 redshifts
from the Lyman-$\alpha$ emission for galaxies in the range 1.9 < z < 3.5, and
an additional $\sim$200,000 redshifts from the [OII] emission for galaxies at z
< 0.5. When combined with deep ugriz images from the Dark Energy Camera, K-band
images from NEWFIRM, and other ancillary data, the IRAC photometry from Spitzer
will enable a broad range of scientific studies of the relationship between
structure formation, galaxy stellar mass, halo mass, AGN, and environment over
a co-moving volume of $\sim$0.5 Gpc$^3$ at 1.9 < z < 3.5. Here, we discuss the
properties of the SHELA IRAC dataset, including the data acquisition,
reduction, validation, and source catalogs. Our tests show the images and
catalogs are 80% (50%) complete to limiting magnitudes of 22.0 (22.6) AB mag in
the detection image, which is constructed from the weighted sum of the IRAC 3.6
and 4.5 micron images. The catalogs reach limiting sensitivities of 1.1 $\mu$Jy
at both 3.6 and 4.5 micron (1$\sigma$, for R=2 arcsec circular apertures). As a
demonstration of science, we present IRAC number counts, examples of highly
temporally variable sources, and galaxy surface density profiles of rich galaxy
clusters. In the spirit of Spitzer Exploratory programs we provide all images
and catalogs as part of the publication.


title:
Stellar population synthesis based modelling of the Milky Way using
  asteroseismology of 13000 Kepler red giants

abstract:
  With current space-based missions it is now possible to obtain age-sensitive
asteroseismic information for tens of thousands of red giants. This provides a
promising opportunity to study the Galactic structure and evolution. We use
asteroseismic data of red giants, observed by Kepler, to test the current
theoretical framework of modelling the Galaxy based on population synthesis
modeling and the use of asteroseismic scaling relations for giants. We use the
open source code Galaxia to model the Milky Way and find the distribution of
the masses predicted by Galaxia to be systematically offset with respect to the
seismically-inferred observed masses. The Galactic model overestimates the
number of low mass stars, and these stars are predominantly old and of low
metallicity. Using corrections to the $\Delta \nu$ scaling relation suggested
by stellar models (available for download) significantly reduces the
disagreement between predicted and observed masses. For a few cases where
non-seismic mass estimates are available, the corrections to $\Delta \nu$ also
improve the agreement between seismic and non-seismic mass estimates. The
disagreement between predictions of the Galactic model and the observations is
most pronounced for stars with ${\rm [Fe/H]}<-0.5$ and ${\rm [Fe/H]}>0$ or for
$T_{\rm eff}>4700$ K. Altering the star formation rate in order to suppress
stars older than 10 Gyr improves the agreement for mass but leads to
inconsistent color distributions. We also tested the predictions of the
TRILEGAL Galactic model. However, unlike {\sl Galaxia}, it had difficulties in
reproducing the photometric properties of the Kepler Input Catalog because it
overestimates the number of blue stars. We conclude that either the scaling
relations and/or the Galactic models need to be revised to reconcile
predictions of theory with asteroseismic observations.


title: Observational biases for transiting planets

abstract:
  Observational biases distort our view of nature, such that the patterns we
see within a surveyed population of interest are often unrepresentative of the
truth we seek. Transiting planets currently represent the most informative data
set on the ensemble properties of exoplanets within 1 AU of their star.
However, the transit method is inherently biased due to both geometric and
detection-driven effects. In this work, we derive the overall observational
biases affecting the most basic transit parameters from first principles. By
assuming a trapezoidal transit and using conditional probability, we infer the
expected distribution of these terms both as a joint distribution and in a
marginalized form. These general analytic results provide a baseline against
which to compare trends predicted by mission-tailored injection/recovery
simulations and offer a simple way to correct for observational bias. Our
results explain why the observed population of transiting planets displays a
non-uniform impact parameter distribution, with a bias towards near-equatorial
geometries. We also find that the geometric bias towards observed planets
transiting near periastron is attenuated by the longer durations which occur
near apoastron. Finally, we predict that the observational bias with respect to
ratio-of-radii is super-quadratic, scaling as $(R_P/R_{\star})^{5/2}$, driven
by an enhanced geometric transit probability and modestly longer durations.


title:
The charged inflaton and its gauge fields: preheating and initial
  conditions for reheating

abstract:
  We calculate particle production during inflation and in the early stages of
reheating after inflation in models with a charged scalar field coupled to
Abelian and non-Abelian gauge fields. A detailed analysis of the power spectra
of primordial electric fields, magnetic fields and charge fluctuations at the
end of inflation and preheating is provided. We carefully account for the Gauss
constraints during inflation and preheating, and clarify the role of the
longitudinal components of the electric field. We calculate the timescale for
the back-reaction of the produced gauge fields on the inflaton condensate,
marking the onset of non-linear evolution of the fields. We provide a
prescription for initial conditions for lattice simulations necessary to
capture the subsequent nonlinear dynamics. On the observational side, we find
that the primordial magnetic fields generated are too small to explain the
origin of magnetic fields on galactic scales and the charge fluctuations are
well within observational bounds for the models considered in this paper.


title: Full-depth Coadds of the WISE and First-year NEOWISE-Reactivation Images

abstract:
  The Near Earth Object Wide-field Infrared Survey Explorer (NEOWISE)
Reactivation mission released data from its first full year of observations in
2015. This data set includes ~2.5 million exposures in each of W1 and W2,
effectively doubling the amount of WISE imaging available at 3.4 and 4.6
microns relative to the AllWISE release. We have created the first ever
full-sky set of coadds combining all publicly available W1 and W2 exposures
from both the AllWISE and NEOWISE-Reactivation (NEOWISER) mission phases. We
employ an adaptation of the unWISE image coaddition framework (Lang 2014),
which preserves the native WISE angular resolution and is optimized for forced
photometry. By incorporating two additional scans of the entire sky, we not
only improve the W1/W2 depths, but also largely eliminate time-dependent
artifacts such as off-axis scattered moonlight. We anticipate that our new
coadds will have a broad range of applications, including target selection for
upcoming spectroscopic cosmology surveys, identification of distant/massive
galaxy clusters, and discovery of high-redshift quasars. In particular, our
full-depth AllWISE+NEOWISER coadds will be an important input for the Dark
Energy Spectroscopic Instrument (DESI) selection of luminous red galaxy and
quasar targets. Our full-depth W1/W2 coadds are already in use within the DECam
Legacy Survey (DECaLS) and Mayall z-band Legacy Survey (MzLS) reduction
pipelines. Much more work still remains in order to fully leverage NEOWISER
imaging for astrophysical applications beyond the solar system.


title: Negative Branes, Supergroups and the Signature of Spacetime

abstract:
  We study the realization of supergroup gauge theories using negative branes
in string theory. We show that negative branes are intimately connected with
the possibility of timelike compactification and exotic spacetime signatures
previously studied by Hull. Isolated negative branes dynamically generate a
change in spacetime signature near their worldvolumes, and are related by
string dualities to a smooth M-theory geometry with closed timelike curves.
Using negative D3 branes, we show that $SU(0|N)$ supergroup theories are
holographically dual to an exotic variant of type IIB string theory on
$dS_{3,2} \times \bar S^5$, for which the emergent dimensions are timelike.
Using branes, mirror symmetry and Nekrasov's instanton calculus, all of which
agree, we derive the Seiberg-Witten curve for $\mathcal N=2 ~SU(N|M)$ gauge
theories. Together with our exploration of holography and string dualities for
negative branes, this suggests that supergroup gauge theories may be
non-perturbatively well-defined objects, though several puzzles remain.


title: The Population of Compact Radio Sources in the Orion Nebula Cluster

abstract:
  We present a deep centimeter-wavelength catalog of the Orion Nebula Cluster
(ONC), based on a 30h single-pointing observation with the Karl G. Jansky Very
Large Array in its high-resolution A-configuration using two 1 GHz bands
centered at 4.7 GHz and 7.3 GHz. A total of 556 compact sources were detected
in a map with a nominal rms noise of 3 muJy/bm, limited by complex source
structure and the primary beam response. Compared to previous catalogs, our
detections increase the sample of known compact radio sources in the ONC by
more than a factor of seven. The new data show complex emission on a wide range
of spatial scales. Following a preliminary correction for the wideband
primary-beam response, we determine radio spectral indices for 170 sources
whose index uncertainties are less than +/-0.5. We compare the radio to the
X-ray and near-infrared point-source populations, noting similarities and
differences.


title: High Resolution non-Markovianity in NMR

abstract:
  Memoryless time evolutions are ubiquitous in nature but often correspond to a
resolution-induced approximation, i.e. there are correlations in time whose
effects are undetectable. Recent advances in the dynamical control of small
quantum systems provide the ideal scenario to probe some of these effects. Here
we experimentally demonstrate the precise induction of memory effects on the
evolution of a quantum coin (qubit) by correlations engineered in its
environment. In particular, we design a collisional model in Nuclear Magnetic
Resonance (NMR) and precisely control the strength of the effects by changing
the degree of correlation in the environment and its time of interaction with
the qubit. We also show how these effects can be hidden by the limited
resolution of the measurements performed on the qubit. The experiment
reinforces NMR as a test bed for the study of open quantum systems and the
simulation of their classical counterparts.


title: The minimal linear sigma model for the Goldstone Higgs

abstract:
  In the context of the minimal SO(5) linear {\sigma}-model, a complete
renormalizable Lagrangian -including gauge bosons and fermions- is considered,
with the symmetry softly broken to SO(4). The scalar sector describes both the
electroweak Higgs doublet and the singlet {\sigma}. Varying the {\sigma} mass
would allow to sweep from the regime of perturbative ultraviolet completion to
the non-linear one assumed in models in which the Higgs particle is a
low-energy remnant of some strong dynamics. We analyze the phenomenological
implications and constraints from precision observables and LHC data.
Furthermore, we derive the d <= 6 effective Lagrangian in the limit of heavy
exotic fermions.


title: Flares from Galactic centre pulsars: a new class of X-ray transients?

abstract:
  Despite intensive searches, the only pulsar within 0.1 pc of the central
black hole in our Galaxy, Sgr A*, is a radio-loud magnetar. Since magnetars are
rare among the Galactic neutron star population, and a large number of massive
stars are already known in this region, the Galactic centre (GC) should harbor
a large number of neutron stars. Population syntheses suggest several thousand
neutron stars may be present in the GC. Many of these could be highly energetic
millisecond pulsars which are also proposed to be responsible for the GC
gamma-ray excess. We propose that the presence of a neutron star within 0.03~pc
from Sgr~A* can be revealed by the shock interactions with the disk around the
central black hole. As we demonstrate, these interactions result in observable
transient non-thermal X-ray and gamma-ray emission over timescales of months,
provided that the spin down luminosity of the neutron star is L_{sd}~10^{35}
erg/s. Current limits on the population of normal and millisecond pulsars in
the GC region suggest that a number of such pulsars are present with such
luminosities.


title: Bank distress in the news: Describing events through deep learning

abstract:
  While many models are purposed for detecting the occurrence of significant
events in financial systems, the task of providing qualitative detail on the
developments is not usually as well automated. We present a deep learning
approach for detecting relevant discussion in text and extracting natural
language descriptions of events. Supervised by only a small set of event
information, comprising entity names and dates, the model is leveraged by
unsupervised learning of semantic vector representations on extensive text
data. We demonstrate applicability to the study of financial risk based on news
(6.6M articles), particularly bank distress and government interventions (243
events), where indices can signal the level of bank-stress-related reporting at
the entity level, or aggregated at national or European level, while being
coupled with explanations. Thus, we exemplify how text, as timely, widely
available and descriptive data, can serve as a useful complementary source of
information for financial and systemic risk analytics.


title: Superradiance on the milliHertz linewidth strontium clock transition

abstract:
  Today's best atomic clocks are limited by frequency noise on the lasers used
to interrogate the atoms. A proposed solution to this problem is to create a
superradiant laser using an optical clock transition as its gain medium. This
laser would act as an active atomic clock, and would be highly immune to the
fluctuations in reference cavity length that limit today's best lasers. Here,
we demonstrate and characterize superradiant emission from the mHz linewidth
clock transition in an ensemble of laser-cooled $^{87}$Sr atoms trapped within
a high-finesse optical cavity. We measure a collective enhancement of the
emission rate into the cavity mode by a factor of more than 10,000 compared to
independently radiating atoms. We also demonstrate a method for seeding
superradiant emission and observe interference between two independent
transitions lasing simultaneously. We use this interference to characterize the
relative spectral properties of the two lasing sub-ensembles.


title:
Transport Implementation of the Bernstein-Vazirani Algorithm with Ion
  Qubits

abstract:
  Using trapped ion quantum bits in a scalable microfabricated surface trap, we
perform the Bernstein-Vazirani algorithm. Our architecture relies upon ion
transport and can readily be expanded to larger systems. The algorithm is
demonstrated using two- and three-ion chains. For three ions, an improvement is
achieved compared to a classical system using the same number of oracle
queries. For two ions and one query, we correctly determine an unknown bit
string with probability 97.6(8)%. For three ions, we succeed with probability
80.9(3)%.


title: Predicting health inspection results from online restaurant reviews

abstract:
  Informatics around public health are increasingly shifting from the
professional to the public spheres. In this work, we apply linguistic analytics
to restaurant reviews, from Yelp, in order to automatically predict official
health inspection reports. We consider two types of feature sets, i.e., keyword
detection and topic model features, and use these in several classification
methods. Our empirical analysis shows that these extracted features can predict
public health inspection reports with over 90% accuracy using simple support
vector machines.


title: Parallax Results From URAT Epoch Data

abstract:
  We present 1103 trigonometric parallaxes and proper motions from the United
States Naval Observatory (USNO) Robotic Astrometric Telescope (URAT)
observations taken at the Naval Observatory Flagstaff Station (NOFS) over a 3
year period from April 2012 to June 2015 covering the entire sky north of about
minus 10 deg declination. We selected 2 samples previously suspected nearby
stars from known photometric distances and stars showing a large, significant
parallax signature in URAT epoch data without any prior selection criteria. All
systems presented in this paper have an observed parallax greater than equal to
40 mas with no previous published trigonometric parallax. The formal errors on
these weighted parallax solutions are mostly between 4 and 10 mas. This sample
gives a significant (order 50%) increase to the number of known systems having
a trigonometric parallax to be within 25 pc of the Sun (without applying Lutz
Kelker bias corrections). A few of these are found to be within 10 pc. Many of
these new nearby stars display a total proper motion of less than 200 mas per
year. URAT parallax results have been verified against Hipparcos and Yale data
for stars in common. The publication of all significant parallax observations
from URAT data is in preparation for CDS.


title: A Stein characterisation of the generalized hyperbolic distribution

abstract:
  The generalized hyperbolic (GH) distributions form a five parameter family of
probability distributions that includes many standard distributions as special
or limiting cases, such as the generalized inverse Gaussian distribution,
Student's $t$-distribution and the variance-gamma distribution, and thus the
normal, gamma and Laplace distributions. In this paper, we consider the GH
distribution in the context of Stein's method. In particular, we obtain a Stein
characterisation of the GH distribution that leads to a Stein equation for the
GH distribution. This Stein equation reduces to the Stein equations from the
current literature for the aforementioned distributions that arise as limiting
cases of the GH superclass.


title: Adelic solenoid I: Structure and topology

abstract:
  Topologically the adelic Riemann sphere is the suspension of the adelic
solenoid and because of this relation, here we study the adelic solenoid by
studying the adelic Riemann sphere topology. The main result is the
Birkhoff-Grothendieck Theorem: A holomorphic vector bundle splits as a sum of
holomorphic line bundles whose Chern character is now a rational number. As a
consequence, the Picard group is isomorphic to the additive group of rational
numbers and the $K$--ring has new elements that factor the tautological class.


title: Discovery of a Gas giant Planet in Microlensing Event OGLE-2014-BLG-1760

abstract:
  We present the analysis of the planetary microlensing event
OGLE-2014-BLG-1760, which shows a strong light curve signal due to the presence
of a Jupiter mass-ratio planet. One unusual feature of this event is that the
source star is quite blue, with $V-I = 1.48\pm 0.08$. This is marginally
consistent with source star in the Galactic bulge, but it could possibly
indicate a young source star in the far side of the disk. Assuming a bulge
source, we perform a Bayesian analysis assuming a standard Galactic model, and
this indicates that the planetary system resides in or near the Galactic bulge
at $D_L = 6.9 \pm 1.1 $ kpc. It also indicates a host star mass of $M_* = 0.51
\pm 0.44 M_\odot$, a planet mass of $m_p = 180 \pm 110 M_\oplus$, and a
projected star-planet separation of $a_\perp = 1.7\pm 0.3\,$AU. The lens-source
relative proper motion is $\mu_{\rm rel} = 6.5\pm 1.1$ mas/yr. The lens (and
stellar host star) is predicted to be very faint, so it is most likely that it
can detected only when the lens and source stars are partially resolved. Due to
the relatively high relative proper motion, the lens and source will be
resolved to about $\sim46\,$mas in 6-8 years after the peak magnification. So,
by 2020 - 2022, we can hope to detect the lens star with deep, high resolution
images.


title: Polarised antibranes from Smarr relations

abstract:
  We study the backreaction of smeared and localised anti M2-branes placed at
the tip of the CGLP background. To this end we derive a Smarr relation for
backreacted antibranes at zero and finite temperature. For extremal antibranes
we show that if smeared they cannot have regular horizons, whereas localised
M2-branes can potentially be regular when polarised into M5-branes, in
agreement with the probe result of Klebanov and Pufu. We further discuss
antibranes at finite temperature and argue that localised antibrane solutions
with regular horizons are not excluded.


title:
Classification of
  $(\widetilde{Sp}(n,\mathbb{R})\times\widetilde{Sp}(1,\mathbb{R}))$-Manifolds

abstract:
  Let $M$ be an analytic complete finite volume pseudo-Riemannian manifold and
$\widetilde{Sp}(n,\mathbb{R})\times\widetilde{Sp}(1,\mathbb{R})$ a connected
semisimple Lie group such that its Lie algebra is
$\mathfrak{sp}(n,\mathbb{R})\oplus\mathfrak{sp}(1,\mathbb{R})$. We characterize
the structure of the manifold $M$ assuming that the Lie group
$\widetilde{Sp}(n,\mathbb{R})\times\widetilde{Sp}(1,\mathbb{R})$ acts
isometrically on $M$ and that its dimension satisfies
$3+n(2n+1)<\dim(M)\leq(n+1)(2n+3)$.


title:
Semidefinite Relaxation and Approximation Analysis of a Beamformed
  Alamouti Scheme for Relay Beamforming Networks

abstract:
  In this paper, we study the amplify-and-forward (AF) schemes in two-hop
one-way relay networks. In particular, we consider the multigroup multicast
transmission between long-distance users. Given that perfect channel state
information is perceived, our goal is to design the AF process so that the
max-min-fair (MMF) signal-to-interference-plus-noise ratio (SINR) is optimized
subject to generalized power constraints. We propose a rank-two beamformed
Alamouti (BFA) AF scheme and formulate the corresponding AF design problem as a
\emph{two-variable} fractional quadratically-constrained quadratic program
(QCQP), which is further tackled by the semidefinite relaxation (SDR)
technique. We analyze the approximation quality of two-variable fractional SDRs
under the Gaussian randomization algorithm. These results are fundamentally new
and reveal that the proposed BFA AF scheme can outperform the traditional BF AF
scheme, especially when there are many users in the system or many generalized
power constraints in the problem formulation. From a practical perspective, the
BFA AF scheme offers two degrees of freedom (DoFs) in beamformer design, as
opposed to the one DoF offered by the BF AF scheme, to improve the receivers'
SINR. In the latter part of this paper, we demonstrate how this extra DoF leads
to provable performance gains by considering two special cases of multicasting,
where the AF process is shown to employ a special structure. The numerical
simulations further validate that the proposed BFA AF scheme outperforms the BF
AF scheme and works well for large-scale relay systems.


title:
Hybrid Quantum-Classical Hierarchy for Mitigation of Decoherence and
  Determination of Excited States

abstract:
  Using quantum devices supported by classical computational resources is a
promising approach to quantum-enabled computation. One example of such a hybrid
quantum-classical approach is the variational quantum eigensolver (VQE) built
to utilize quantum resources for the solution of eigenvalue problems and
optimizations with minimal coherence time requirements by leveraging classical
computational resources. These algorithms have been placed among the candidates
for first to achieve supremacy over classical computation. Here, we provide
evidence for the conjecture that variational approaches can automatically
suppress even non-systematic decoherence errors by introducing an exactly
solvable channel model of variational state preparation. Moreover, we show how
variational quantum-classical approaches fit in a more general hierarchy of
measurement and classical computation that allows one to obtain increasingly
accurate solutions with additional classical resources. We demonstrate
numerically on a sample electronic system that this method both allows for the
accurate determination of excited electronic states as well as reduces the
impact of decoherence, without using any additional quantum coherence time or
formal error correction codes.


title: A closer look to the sgoldstino interpretation of the diphoton excess

abstract:
  We revisit the sgoldstino interpretation of the diphoton excess in the
context of gauge mediation. While the bound on the gluino mass might seem to
make the sgoldstino contribution to the diphoton excess unobservable, we show
that the interpretation is viable in a thin, near critical region of the
parameter space. This regime gives rise to drastic departures from the standard
gauge mediation picture. While the fermion messengers lie in the (10-100) TeV
range, some scalar messengers are significantly lighter and are responsible for
the sgoldstino production and decay. Their effective coupling to the sgoldstino
is correspondingly enhanced, and a non-perturbative regime is triggered when
light and heavy messenger masses differ by a factor $\sim4\pi$. We also comment
on the possible role of an R-axion and on the possibility to decouple the
sfermions in this context.


title: On Relative Central Extensions and Covering Pairs

abstract:
  Let $(G,N)$ be a pair of groups. In this article, first we construct a
relative central extension for the pair $(G,N)$ such that special types of
covering pair of $(G,N)$ are homomorphic image of it. Second, we show that
every perfect pair admits at least one covering pair. Finally, among extending
some properties of perfect groups to perfect pairs, we characterize covering
pairs of a perfect pair $(G,N)$ under some extra assumptions.


title: Dark bubbles around high-redshift radio-loud AGN

abstract:
  At redshift larger than 3 there is a disagreement between the number of
blazars (whose jet is pointing at us) and the number of expected parents (whose
jet is pointing elsewhere). Now we strengthen this claim because (i) the number
of blazars identified within the SDSS+FIRST survey footprint increased,
demanding a more numerous parent population, and (ii) the detected blazars have
a radio flux large enough to be above the FIRST flux limit even if the jet is
slightly misaligned. The foreseen number of these slightly misaligned jets, in
principle detectable, is much larger than the radio-detected sources in the
FIRST+SDSS survey (at redshift larger than 4). This argument is independent of
the presence of an isotropic radio component, such as the hot spot or the radio
lobe, and does not depend on the bulk Lorentz factor Gamma. We propose a
scenario that ascribes the lack of slightly misaligned sources to an
over-obscuration of the nucleus by a "bubble" of dust, possibly typical of the
first high-redshift quasars.


title: Consistency of WIMP Dark Matter as radiative neutrino mass messenger

abstract:
  The scotogenic scenario provides an attractive approach to both Dark Matter
and neutrino mass generation, in which the same symmetry that stabilises Dark
Matter also ensures the radiative seesaw origin of neutrino mass. However the
simplest scenario may suffer from inconsistencies arising from the spontaneous
breaking of the underlying $\mathbb{Z}_2$ symmetry. Here we show that the
singlet-triplet extension of the simplest model naturally avoids this problem
due to the presence of scalar triplets neutral under the $\mathbb{Z}_2$ which
affect the evolution of the couplings in the scalar sector. The scenario offers
good prospects for direct WIMP Dark Matter detection through the nuclear recoil
method.


title:
Final State Interactions in $K\to\pi\pi$ Decays: $\Delta I=1/2$ Rule vs.
  $\varepsilon^\prime/\varepsilon$

abstract:
  Dispersive effects from strong $\pi\pi$ rescattering in the final state (FSI)
of weak $K\to\pi\pi$ decays are revisited with the goal to have a global view
on their {\it relative} importance for the $\Delta I=1/2$ rule and the ratio
$\varepsilon^\prime/\varepsilon$ in the Standard Model (SM). We point out that
this goal cannot be reached within a pure effective (meson) field approach like
chiral perturbation theory in which the dominant current-current operators
governing the $\Delta I=1/2$ rule and the dominant density-density (four-quark)
operators governing $\varepsilon^\prime/\varepsilon$ cannot be disentangled
from each other. But in the context of a dual QCD approach, which includes both
long distance dynamics and the UV completion, that is QCD at short distance
scales, such a distinction is possible. We find then that beyond the strict
large $N$ limit, $N$ being the number of colours, FSI are likely to be
important for the $\Delta I=1/2$ rule but much less relevant for
$\varepsilon^\prime/\varepsilon$. The latter finding diminishes significantly
hopes that improved calculations of $\varepsilon^\prime/\varepsilon$ would
bring its SM prediction to agree with the experimental data, opening thereby an
arena for important new physics contributions to this ratio.


title: Radio continuum surveys and galaxy evolution: The AGN view

abstract:
  Understanding how galaxies form in the early universe and their subsequent
evolution through cosmic time is a major goal of modern astrophysics.
Panchromatic look-back sky surveys significantly advanced the field in the past
decades, and we are now entering an even more fruitful period - a 'golden age'
of radio astronomy - with upgraded, and new facilities delivering an order of
magnitude increase in sensitivity. An overview of recent developments in radio
continuum sky surveys, focusing on the physical properties and cosmic evolution
of radio AGN since z~5 is presented here.


title:
Resolving the fragmentation of high line-mass filaments with ALMA: the
  integral shaped filament in Orion A

abstract:
  We study the fragmentation of the nearest high line-mass filament, the
integral shaped filament (ISF, line-mass $\sim$ 400 M$_\odot$ pc$^{-1}$) in the
Orion A molecular cloud. We have observed a 1.6 pc long section of the ISF with
the Atacama Large Millimetre/submillimeter Array (ALMA) at 3 mm continuum
emission, at a resolution of $\sim$3" (1 200 AU). We identify from the region
43 dense cores with masses about a solar mass. 60% of the ALMA cores are
protostellar and 40\% are starless. The nearest neighbour separations of the
cores do not show a preferred fragmentation scale; the frequency of short
separations increases down to 1 200 AU. We apply a two-point correlation
analysis on the dense core separations and show that the ALMA cores are
significantly grouped at separations below $\sim$17 000 AU and strongly grouped
below $\sim$6 000 AU. The protostellar and starless cores are grouped
differently: only the starless cores group strongly below $\sim$6 000 AU. In
addition, the spatial distribution of the cores indicates periodic grouping of
the cores into groups of $\sim$30 000 AU in size, separated by $\sim$50 000 AU.
The groups coincide with dust column density peaks detected by Herschel. These
results show hierarchical, two-mode fragmentation in which the maternal
filament periodically fragments into groups of dense cores. Critically, our
results indicate that the fragmentation models for lower line-mass filaments
($\sim$ 16 M$_\odot$ pc$^{-1}$) fail to capture the observed properties of the
ISF. We also find that the protostars identified with Spitzer and Herschel in
the ISF are grouped at separations below $\sim$17 000 AU. In contrast, young
stars with disks do not show significant grouping. This suggests that the
grouping of dense cores is partially retained over the protostar lifetime, but
not over the lifetime of stars with disks.


title: Universality of P-V Criticality in Horizon Thermodynamics

abstract:
  We study P-V criticality of black holes in Lovelock gravities in the context
of horizon thermodynamics. The corresponding first law of horizon
thermodynamics emerges as one of the Einstein-Lovelock equations and assumes
the universal (independent of matter content) form dE=TdS-PdV, where P is
identified with the total pressure of all matter in the spacetime (including a
cosmological constant Lambda if present). We compare this approach to recent
advances in extended phase space thermodynamics of asymptotically AdS black
holes where the "standard" first law of black hole thermodynamics is extended
to include a pressure-volume term, where the pressure is entirely due to the
(variable) cosmological constant. We show that both approaches are quite
different in interpretation. Provided there is sufficient non-linearity in the
gravitational sector, we find that horizon thermodynamics admits the same
interesting black hole phase behaviour seen in the extended case, such as a
Hawking-Page transition, Van der Waals like behaviour, and the presence of a
triple point. We also formulate the Smarr formula in horizon thermodynamics and
discuss the interpretation of the quantity E appearing in the horizon first
law.


title:
Selecting background galaxies in weak-lensing analysis of galaxy
  clusters

abstract:
  In this paper, we present a new method to select the faint, background
galaxies used to derive the mass of galaxy clusters by weak lensing.
  The method is based on the simultaneous analysis of the shear signal, that
should be consistent with zero for the foreground, unlensed galaxies, and of
the colors of the galaxies: photometric data from the COSMic evOlution Survey
are used to train the color selection. In order to validate this methodology,
we test it against a set of state-of-the-art image simulations of mock galaxy
clusters in different redshift [$0.23-0.45$] and mass
[$0.5-1.55\times10^{15}M_\odot$] ranges, mimicking medium-deep multicolor
imaging observations (e.g. SUBARU, LBT).
  The performance of our method in terms of contamination by unlensed sources
is comparable to a selection based on photometric redshifts, which however
requires a good spectral coverage and is thus much more observationally
demanding. The application of our method to simulations gives an average ratio
between estimated and true masses of $\sim 0.98 \pm 0.09$. As a further test,
we finally apply our method to real data, and compare our results with other
weak lensing mass estimates in the literature: for this purpose we choose the
cluster Abell 2219 ($z=0.228$), for which multi-band (BVRi) data are publicly
available.


title: Do Deep Convolutional Nets Really Need to be Deep and Convolutional?

abstract:
  Yes, they do. This paper provides the first empirical demonstration that deep
convolutional models really need to be both deep and convolutional, even when
trained with methods such as distillation that allow small or shallow models of
high accuracy to be trained. Although previous research showed that shallow
feed-forward nets sometimes can learn the complex functions previously learned
by deep nets while using the same number of parameters as the deep models they
mimic, in this paper we demonstrate that the same methods cannot be used to
train accurate models on CIFAR-10 unless the student models contain multiple
layers of convolution. Although the student models do not have to be as deep as
the teacher model they mimic, the students need multiple convolutional layers
to learn functions of comparable accuracy as the deep convolutional teacher.


title:
Optimal Energy-Efficient Downlink Transmission Scheduling for Real-Time
  Wireless Networks

abstract:
  It has been shown that using appropriate channel coding schemes in wireless
environments, transmission energy can be significantly reduced by controlling
the packet transmission rate. This paper seeks optimal solutions for downlink
transmission control problems, motivated by this observation and by the need to
minimize energy consumption in real-time wireless networks. Our problem
formulation deals with a more general setting than the paper authored by Gamal
et. al., in which the MoveRight algorithm is proposed. The MoveRight algorithm
is an iterative algorithm that converges to the optimal solution. We show that
even under the more general setting, the optimal solution can be efficiently
obtained through an approach decomposing the optimal sample path through
certain "critical tasks" which in turn can be efficiently identified. We
include simulation results showing that our algorithm is significantly faster
than the MoveRight algorithm. We also discuss how to utilize our results and
receding horizon control to perform on-line transmission scheduling where
future task information is unknown.


title: Reward Algorithms for Semi-Markov Processes

abstract:
  New algorithms for computing power moments of hitting times and accumulated
rewards of hitting type for semi-Markov processes. The algorithms are based on
special techniques of sequential phase space reduction and recurrence relations
connecting moments of rewards. Applications are discussed as well as possible
generalisations of presented results and results of experimental studies.


title: Semiparametric two-component mixture models under linear constraints

abstract:
  We propose a structure of a semiparametric two-component mixture model when
one component is parametric and the other is defined through linear constraints
on its distribution function. Estimation of a two-component mixture model with
an unknown component is very difficult when no particular assumption is made on
the structure of the unknown component. A symmetry assumption was used in the
literature to simplify the estimation. Such method has the advantage of
producing consistent and asymptotically normal estimators, and identifiability
of the semiparametric mixture model becomes tractable. Still, existing methods
which estimate a semiparametric mixture model have their limits when the
parametric component has unknown parameters or the proportion of the parametric
part is either very high or very low. We propose in this paper a method to
incorporate a prior linear information about the distribution of the unknown
component in order to better estimate the model when existing estimation
methods fail. The new method is based on $\varphi-$divergences and has an
original form since the minimization is carried over both arguments of the
divergence. The resulting estimators are proved to be consistent and
asymptotically normal under standard assumptions. We show that using the
Pearson's $\chi^2$ divergence our algorithm has a linear complexity when the
constraints are moment-type. Simulations on univariate and multivariate
mixtures demonstrate the viability and the interest of our novel approach.


title: Identifying OH Imposters in the ALFALFA Neutral Hydrogen Survey

abstract:
  OH megamasers (OHMs) are rare, luminous molecular masers that are typically
observed in (ultra) luminous infrared galaxies and serve as markers of major
galaxy mergers. In blind emission line surveys such as the Arecibo Legacy Fast
Arecibo L-Band Feed Array (ALFALFA) survey for neutral hydrogen (HI), OHMs at
z~0.2 can mimic z~0.05 HI lines. We present the results of optical spectroscopy
of ambiguous HI detections in the ALFALFA 40% data release detected by the Wide
Field Infrared Survey Explorer (WISE) but with uncertain optical counterparts.
The optical redshifts, obtained from observations at the Apache Point
Observatory, revealed five new OHMs and identified 129 HI optical counterparts.
Sixty candidates remain ambiguous. The new OHMs are the first detected in a
blind spectral line survey.
  The number of OHMs in ALFALFA is consistent with predictions from the OH
luminosity function. Additionally, the mid-infrared magnitudes and colors of
the OHM host galaxies found in a blind survey do not seem to differ from those
found in previous targeted surveys. This validates the methods used in previous
IR-selected OHM surveys and indicates there is no previously unknown
OHM-producing population at z~0.2. We also provide a method for future surveys
to separate OH megamasers from 99% of HI line emitters without optical
spectroscopy by using WISE infrared colors and magnitudes. Since the fraction
of OHMs found in flux-limited HI surveys is expected to increase with the
survey's redshift, this selection method can be applied to future flux-limited
high-redshift hydrogen surveys.


title:
Atomic orientation by a broadly frequency-modulated radiation: theory
  and experiment

abstract:
  We investigate magnetic resonances driven in thermal vapour of alkali atoms
by laser radiation broadly modulated at a frequency resonant with the Zeeman
splitting. A model accounting for both hyperfine and Zeeman pumping is
developed and its results are compared with experimental measurements performed
at relatively weak pump irradiance. The interplay between the two pumping
processes generates intriguing interaction conditions, often overlooked by
simplified models.


title:
A lower bound for the $\Theta$ function on manifolds without conjugate
  points

abstract:
  In this short note, we prove that the usual $\Theta$ function on a Riemannian
manifold without conjugate points is uniformly bounded from below. This extends
a result of Green in two dimensions. This elementary lemma implies that the
B\'erard remainder in the Weyl law is valid for a manifold without conjugate
points, without any restriction on the dimension.


title: Flexural Mie Resonances: Localized Surface Platonic Modes

abstract:
  Surface plasmons polaritons were thought to exist only in metals near their
plasma frequencies. The concept of spoof plasmons extended the realms of
plasmonics to domains such as radio frequencies, magnetism, or even acoustic
waves. Here, we introduce the concept of localized surface platonic modes
(SPMs). We demonstrate that they can be generated on a two-dimensional clamped
(or stress-free) cylindrical surface, in a thin elastic plate, with
subwavelength corrugations under excitation by an incident flexural plane wave.
Our results show that the corrugated rigid surface is elastically equivalent to
a cylindrical scatterer with negatively uniform and dispersive flexural
rigidity. This, indeed, suggests that plasmonic-like platonic materials can be
engineered with potential applications in various areas including earthquake
sensing, or elastic imaging and cloaking.


title: Remarks on the ABG Induction Theorem

abstract:
  A key result in a 2004 paper by S. Arkhipov, R. Bezrukavnikov, and V.
Ginzburg compares the bounded derived category of modules for the principal
block of a Lusztig quantum enveloping algebra at anroot of unity with an
explicit subcategory of the bounded derived category of integrable type 1
modules for a Borel part of that algebra. Specifically, according to this
Induction Theorem the right derived functor of induction yields an equivalence
of triangulated categories. The authors ABG of that paper suggest a similar
result holds for algebraic groups in positive characteristic p, and this paper
provides a statement with proof for such a modular induction theorem. Our
argument uses the philosophy of ABG as well as new ingredients. A secondary
goal of this paper has been to put the original characteristic zero quantum
result of ABG on firmer ground, and we provide arguments as needed to give a
complete proof of that result also. Finally, using the modular result, we have
been able in a separate preprint to introduce truncation functors, associated
to finite weight posets, which effectively commute with the modular induction
equivalence, assuming p>2h-2, with h the Coxeter number. This enables
interpreting the equivalence at the level of derived categories of modules for
suitable finite dimensional quasi-hereditary algebras. We expect similar
results to hold in the the quantum setting.


title: Local Parametric Estimation in High Frequency Data

abstract:
  In this paper, we give a general time-varying parameter model, where the
multidimensional parameter possibly includes jumps. The quantity of interest is
defined as the integrated value over time of the parameter process $\Theta =
T^{-1} \int_0^T \theta_t^* dt$. We provide a local parametric estimator (LPE)
of $\Theta$ and conditions under which we can show the central limit theorem.
Roughly speaking those conditions correspond to some uniform limit theory in
the parametric version of the problem. The framework is restricted to the
specific convergence rate $n^{1/2}$. Several examples of LPE are studied:
estimation of volatility, powers of volatility, volatility when incorporating
trading information and time-varying MA(1).


title: Content Caching and Distribution in Smart Grid Enabled Wireless Networks

abstract:
  To facilitate wireless transmission of multimedia content to mobile users, we
propose a content caching and distribution framework for smart grid enabled
OFDM networks, where each popular multimedia file is coded and distributively
stored in multiple energy harvesting enabled serving nodes (SNs), and the green
energy distributively harvested by SNs can be shared with each other through
the smart grid. The distributive caching, green energy sharing and the on-grid
energy backup have improved the reliability and performance of the wireless
multimedia downloading process. To minimize the total on-grid power consumption
of the whole network, while guaranteeing that each user can retrieve the whole
content, the user association scheme is jointly designed with consideration of
resource allocation, including subchannel assignment, power allocation and
power flow among nodes, where the user association scheme decides which SN
serves which user. First, the optimal power allocated to each subchannel and
the power flows among nodes are derived analytically. Then, the user
association problem is decoupled from the subchannel assignment problem, and
the proposed user association scheme has leveraged the multicasting nature of
the content download process. To decide which subchannel is assigned to which
node, the number of subchannels assigned to each node is first determined,
according to the green energy generating rate and the associated traffic
offload, and then the corresponding subchannels are selected from the total
assigned system spectrum. Simulation results demonstrate that bringing content,
green energy and serving node closer to the end user can notably reduce the
on-grid energy consumption.


title: Weak multiplier bimonoids

abstract:
  Based on the novel notion of `weakly counital fusion morphism', regular weak
multiplier bimonoids in braided monoidal categories are introduced. They
generalize weak multiplier bialgebras over fields and multiplier bimonoids in
braided monoidal categories. Under some assumptions the so-called base object
of a regular weak multiplier bimonoid is shown to carry a coseparable comonoid
structure; hence to possess a monoidal category of bicomodules. In this case,
appropriately defined modules over a regular weak multiplier bimonoid are
proven to constitute a monoidal category with a strict monoidal forgetful type
functor to the category of bicomodules over the base object.
  Braided monoidal categories considered include various categories of modules
or graded modules, the category of complete bornological spaces, and the
category of complex Hilbert spaces and continuous linear transformations.


title: Cavity-enhanced frequency up-conversion in rubidium vapour

abstract:
  We report the first use of a ring cavity to both enhance the output power and
dramatically narrow the linewidth ($<1\,$MHz) of blue light generated by four
wave mixing in a rubidium vapour cell. We find that the high output power
available in our cavity-free system leads to power broadening of the generated
blue light linewidth. Our ring cavity removes this limitation, allowing high
output power and narrow linewidth to be achieved concurrently. As the cavity
blue light is widely tunable over the $^{85}$Rb 5S$_{1/2} \,\,F=3$
$\rightarrow$ 6P$_{3/2}$ transition, this narrow linewidth light would be
suitable for second-stage laser cooling, which could be valuable for efficient
$^{85}$Rb BEC production.


title: A generalization of circulant Hadamard and conference matrices

abstract:
  We study the existence and construction of circulant matrices $C$ of order
$n\geq2$ with diagonal entries $d\geq0$, off-diagonal entries $\pm1$ and
mutually orthogonal rows. These matrices generalize circulant conference
($d=0$) and circulant Hadamard ($d=1$) matrices. We demonstrate that matrices
$C$ exist for every order $n$ and for $d$ chosen such that $n=2d+2$, and we
find all solutions $C$ with this property. Furthermore, we prove that if $C$ is
symmetric, or $n-1$ is prime, or $d$ is not an odd integer, then necessarily
$n=2d+2$. Finally, we conjecture that the relation $n=2d+2$ holds for every
matrix $C$, which generalizes the circulant Hadamard conjecture. We support the
proposed conjecture by computing all the existing solutions up to $n=50$.


title:
Loophole-free Bell test using electron spins in diamond: second
  experiment and additional analysis

abstract:
  The recently reported violation of a Bell inequality using entangled
electronic spins in diamonds (Hensen et al., Nature 526, 682-686) provided the
first loophole-free evidence against local-realist theories of nature. Here we
report on data from a second Bell experiment using the same experimental setup
with minor modifications. We find a violation of the CHSH-Bell inequality of
$2.35 \pm 0.18$, in agreement with the first run, yielding an overall value of
$S = 2.38 \pm 0.14$. We calculate the resulting $P$-values of the second
experiment and of the combined Bell tests. We provide an additional analysis of
the distribution of settings choices recorded during the two tests, finding
that the observed distributions are consistent with uniform settings for both
tests. Finally, we analytically study the effect of particular models of random
number generator (RNG) imperfection on our hypothesis test. We find that the
winning probability per trial in the CHSH game can be bounded knowing only the
mean of the RNG bias, implying that our experimental result is robust for any
model underlying the estimated average RNG bias.


title: Slow and fast escape for open intermittent maps

abstract:
  If a system mixes too slowly, putting a hole in it can completely destroy the
richness of the dynamics. Here we study this instability for a class of
intermittent maps with a family of slowly mixing measures. We show that there
are three regimes: 1) standard hyperbolic-like behavior where the rate of
mixing is faster than the rate of escape through the hole, there is a unique
limiting absolutely continuous conditionally invariant measure (accim) and
there is a complete thermodynamic description of the dynamics on the survivor
set; 2) an intermediate regime, where the rate of mixing and escape through the
hole coincide, limiting accims exist, but much of the thermodynamic picture
breaks down; 3) a subexponentially mixing regime where the slow mixing means
that mass simply accumulates on the parabolic fixed point. We give a complete
picture of the transitions and stability properties (in the size of the hole
and as we move through the family) in this class of open systems. In particular
we are able to recover a form of stability in the third regime above via the
dynamics on the survivor set, even when no limiting accim exists.


title: Molecular Clock Dating using MrBayes

abstract:
  This paper provides an overview and a tutorial of molecular clock dating
using MrBayes, which is a software for Bayesian inference of phylogeny. Two
modern approaches, total-evidence dating and node dating, are demonstrated
using a dataset of Hymenoptera with molecular sequences and morphological
characters. The similarity and difference of the two methods are compared and
discussed. Besides, a non-clock analysis is performed on the same dataset to
compare with the molecular clock dating analyses.


title:
Static and rotating universal horizons and black holes in gravitational
  theories with broken Lorentz invariance

abstract:
  In this paper, we show the existence of static and rotating universal
horizons and black holes in gravitational theories with the broken Lorentz
invariance. We pay particular attention on the ultraviolet regime, and show
that universal horizons and black holes exist not only in low energy scales but
also in the UV scales. This is realized by presenting various static and
stationary exact solutions of the full theory of the projectable Ho\v{r}ava
gravity with an extra U(1) symmetry in (2+1)-dimensions, which, by
construction, is power-counting renormalizable.


title:
Stochastic kinetics reveal imperative role of anisotropic interfacial
  tension to determine morphology and evolution of nucleated droplets in
  nematogenic films

abstract:
  For isotropic fluids, classical nucleation theory predicts the nucleation
rate, barrier height and critical droplet size by accounting for the
competition between bulk energy and interfacial tension. The nucleation process
in liquid crystals is less understood. We numerically investigate nucleation in
monolayered nematogenic films using a mesoscopic framework, in particular, we
study the mor- phology and kinetic pathway in spontaneous formation and growth
of droplets of the stable phase in the metastable background. The parameter
$\kappa$ that quantifies the anisotropic elastic energy plays a central role in
determining the geometric structure of the droplets. Noncircular nematic
droplets with homogeneous director orientation are nucleated in a background of
supercooled isotropic phase for small $\kappa$. For large $\kappa$, noncircular
droplets with integer topological charge, accompanied by a biaxial ring at the
outer surface, are nucleated. The isotropic droplet shape in a superheated
nematic background is found to depend on $\kappa$ in a similar way. Identical
growth laws are found in the two cases, although an unusual two-stage mechanism
is observed in the nucleation of isotropic droplets. Temporal distributions of
successive events indicate the relevance of long-ranged elasticity-mediated
interactions within the isotropic domains. Implications for a theoretical
description of nucleation in anisotropic fluids are discussed.


title: Information Flow for Security in Control Systems

abstract:
  This paper considers the development of information flow analyses to support
resilient design and active detection of adversaries in cyber physical systems
(CPS). The area of CPS security, though well studied, suffers from
fragmentation. In this paper, we consider control systems as an abstraction of
CPS. Here, we extend the notion of information flow analysis, a well
established set of methods developed in software security, to obtain a unified
framework that captures and extends system theoretic results in control system
security. In particular, we propose the Kullback Liebler (KL) divergence as a
causal measure of information flow, which quantifies the effect of adversarial
inputs on sensor outputs. We show that the proposed measure characterizes the
resilience of control systems to specific attack strategies by relating the KL
divergence to optimal detection techniques. We then relate information flows to
stealthy attack scenarios where an adversary can bypass detection. Finally,
this article examines active detection mechanisms where a defender
intelligently manipulates control inputs or the system itself in order to
elicit information flows from an attacker's malicious behavior. In all previous
cases, we demonstrate an ability to investigate and extend existing results by
utilizing the proposed information flow analyses.


title: Vanishing of Ext and Tor over fiber products

abstract:
  Consider a non-trivial fiber product $R=S\times_kT$ of local rings $S$, $T$
with common residue field $k$. Given two finitely generate $R$-modules $M$ and
$N$, we show that if
$\operatorname{Tor}^R_i(M,N)=0=\operatorname{Tor}^R_{i+1}(M,N)$ for some $i\geq
5$, then $\operatorname{pd}_R(M)\leq 1$ or $\operatorname{pd}_R(N)\leq 1$. From
this, we deduce several consequence, for instance, that $R$ satisfies the
Auslander-Reiten Conjecture.


title:
Observational constraints on the orbit and location of Planet Nine in
  the outer solar system

abstract:
  We use an extensive suite of numerical simulations to constrain the mass and
orbit of Planet Nine, the recently proposed perturber in a distant eccentric
orbit in the outer solar system. We compare our simulations to the observed
population of aligned eccentric high semimajor axis Kuiper belt objects and
determine which simulation parameters are statistically compatible with the
observations. We find that only a narrow range of orbital elements can
reproduce the observations. In particular, the combination of semimajor axis,
eccentricity, and mass of Planet Nine strongly dictates the semimajor axis
range of the orbital confinement of the distant eccentric Kuiper belt objects.
Allowed orbits, which confine Kuiper belt objects with semimajor axis beyond
380~AU, have perihelia roughly between 150 and 350~AU, semimajor axes between
380 and 980~AU, and masses between 5 and 20 Earth masses. Orbitally confined
objects also generally have orbital planes similar to that of the planet,
suggesting that the planet is inclined approximately 30~degrees to the
ecliptic. We compare the allowed orbital positions and estimated brightness of
Planet Nine to previous and ongoing surveys which would be sensitive to the
planet's detection and use these surveys to rule out approximately two-thirds
of the planet's orbit. Planet Nine is likely near aphelion with an approximate
brightness of $22<V<25$. At opposition, its motion, mainly due to parallax, can
easily be detected within 24 hours.


title:
Holographic Entanglement Entropy, Field Redefinition Invariance and
  Higher Derivative Gravity Theories

abstract:
  It is established that physical observables in local quantum field theories
should be invariant under invertible field redefinitions. It is then expected
that this statement should be true for the entanglement entropy and moreover
that, via the gauge/gravity correspondence, the recipe for computing
entanglement entropy holographically should also be invariant under local field
redefinitions in the gravity side. We use this fact to fix the recipe for
computing holographic entanglement entropy (HEE) for $f(R,R_{\mu\nu})$ theories
which could be mapped to Einstein gravity. An outcome of our prescription is
that the surfaces that minimize the corresponding HEE functional for
$f(R,R_{\mu\nu})$ theories always have vanishing trace of extrinsic curvature
and that the HEE may be evaluated using the Wald entropy functional. We show
that similar results follow from the FPS and Dong HEE functionals, for Einstein
manifold backgrounds in $f(R,R_{\mu\nu})$ theories.


title:
A New Way to Derive the Taub-NUT Metric with Positive Cosmological
  Constant

abstract:
  We investigate a biaxial Bianchi IX model with positive cosmological
constant, which is sometimes called the Lambda-Taub-NUT spacetime, whose exact
solution is well known. The minisuperspace of biaxial Bianchi IX models admits
two non-trivial Killing tensors that play an important role for deriving the
Taub-NUT metric. We also give a brief discussion about the asymptotic behaviour
of Bianchi IX models.


title:
Tight Bounds for Single-Pass Streaming Complexity of the Set Cover
  Problem

abstract:
  We resolve the space complexity of single-pass streaming algorithms for
approximating the classic set cover problem. For finding an
$\alpha$-approximate set cover (for any $\alpha= o(\sqrt{n})$) using a
single-pass streaming algorithm, we show that $\Theta(mn/\alpha)$ space is both
sufficient and necessary (up to an $O(\log{n})$ factor); here $m$ denotes
number of the sets and $n$ denotes size of the universe. This provides a strong
negative answer to the open question posed by Indyk et al. (2015) regarding the
possibility of having a single-pass algorithm with a small approximation factor
that uses sub-linear space.
  We further study the problem of estimating the size of a minimum set cover
(as opposed to finding the actual sets), and establish that an additional
factor of $\alpha$ saving in the space is achievable in this case and that this
is the best possible. In other words, we show that $\Theta(mn/\alpha^2)$ space
is both sufficient and necessary (up to logarithmic factors) for estimating the
size of a minimum set cover to within a factor of $\alpha$. Our algorithm in
fact works for the more general problem of estimating the optimal value of a
covering integer program. On the other hand, our lower bound holds even for set
cover instances where the sets are presented in a random order.


title:
Approximation properties on q -Szasz-Mirakjan-Kantrovich Stancu type
  operators via Dunkl generalization

abstract:
  This paper is devoted to study the approximation properties and rate of
approximation of the Szasz-Mirakjan-Kantrovich-Stancu type polynomials
generated by the Dunkl generalization of the exponential function with respect
to q -calculus. We present approximation properties with the help of well-known
Korovkin's theorem and determine the rat e of convergence in terms of classical
modulus of continuity, the class of Lipschitz functions, Peetre's K-functional,
and the second-order modulus of continuity. Moreover, we obtain the
approximation results for Bivariate case for these operators


title: One-sided epsilon-approximants

abstract:
  Given a finite point set $P\subset\mathbb{R}^d$, we call a multiset $A$ a
one-sided weak $\varepsilon$-approximant for $P$ (with respect to convex sets),
if $|P\cap C|/|P|-|A\cap C|/|A|\leq\varepsilon$ for every convex set $C$.
  We show that, in contrast with the usual (two-sided) weak
$\varepsilon$-approximants, for every set $P\subset \mathbb{R}^d$ there exists
a one-sided weak $\varepsilon$-approximant of size bounded by a function of
$\varepsilon$ and $d$.


title: Lagrangian Particle Method for Compressible Fluid Dynamics

abstract:
  A new Lagrangian particle method for solving Euler equations for compressible
inviscid fluid or gas flows is proposed. Similar to smoothed particle
hydrodynamics (SPH), the method represents fluid cells with Lagrangian
particles and is suitable for the simulation of complex free surface /
multiphase flows. The main contributions of our method, which is different from
SPH in all other aspects, are (a) significant improvement of approximation of
differential operators based on a polynomial fit via weighted least squares
approximation and the convergence of prescribed order, (b) an upwinding
second-order particle-based algorithm with limiter, providing accuracy and long
term stability, (c) elimination of the dependence on artificial parameters such
as the smoothening length in SPH, causing difficulties in the case of large
density changes, and (d) accurate resolution of states at free interfaces.
Numerical verification test demonstrating the convergence order are presented
as well as examples of complex free surface flows.


title: Efficient evaluation of scaled proximal operators

abstract:
  Quadratic-support functions [Aravkin, Burke, and Pillonetto; J. Mach. Learn.
Res. 14(1), 2013] constitute a parametric family of convex functions that
includes a range of useful regularization terms found in applications of convex
optimization. We show how an interior method can be used to efficiently compute
the proximal operator of a quadratic-support function under different metrics.
When the metric and the function have the right structure, the proximal map can
be computed with cost nearly linear in the input size. We describe how to use
this approach to implement quasi-Newton methods for a rich class of nonsmooth
problems that arise, for example, in sparse optimization, image denoising, and
sparse logistic regression.


title: Gravitational acceleration and edge effects in molecular clouds

abstract:
  Gravity plays important roles in the evolution of molecular clouds. We
present an acceleration mapping method to estimate the acceleration induced by
gravitational interactions in molecular clouds based on observational data. We
find that the geometry of a region has a significant impact on the behavior of
gravity. In the Pipe nebula which can be approximated as a gas filament, we
find that gravitational acceleration can effectively compress the end of this
filament, which may have triggered star formation. We identify this as the
"gravitational focusing" effect proposed by Burkert & Hartman (2004). In the
sheet-like IC348-B3 region, gravity can lead to collapse at its edge, while in
the centrally condensed NGC1333 cluster-forming region gravity can drive
accretion towards the center. In general, gravitational acceleration tends to
be enhanced in the localized regions around the ends of the filaments and the
edges of sheet-like structures. Neglecting magnetic fields, these
"gravitational focusing" and "edge collapse" effects can promote the formation
of dense gas in a timescale that is much shorter than the global dynamical
time. Since the interstellar medium is in general structured, these edge
effects should be prevalent.


title: Design of tunable GHz-frequency optomechanical crystal resonators

abstract:
  We present a silicon optomechanical nanobeam design with a dynamically
tunable acoustic mode at 10.2 GHz. The resonance frequency can be shifted by 90
kHz/V^2 with an on-chip capacitor that was optimized to exert forces up to 1
$\mu$N at 10 V operation voltage. Optical resonance frequencies around 190 THz
with Q factors up to $2.2 \times 10^6$ place the structure in the well-resolved
sideband regime with vacuum optomechanical coupling rates up to $g_0/2\pi =
353$ kHz. Tuning can be used, for instance, to overcome variation in the
device-to-device acoustic resonance frequency due to fabrication errors, paving
the way for optomechanical circuits consisting of arrays of optomechanical
cavities.


title:
Efficient Estimation of Cardiac Conductivities via POD-DEIM Model Order
  Reduction

abstract:
  Clinical oriented applications of computational electrocardiology require
efficient and reliable identification of patient-specific parameters of
mathematical models based on available measures. In particular, the estimation
of cardiac conductivities in models of potential propagation is crucial, since
they have major quantitative impact on the solution. Available estimates of
cardiac conductivities are significantly diverse in the literature and the
definition of experimental/mathematical estimation techniques is an open
problem with important practical implications in clinics. We have recently
proposed a methodology based on a variational procedure, where the reliability
is confirmed by numerical experiments. In this paper we explore
model-order-reduction techniques to fit the estimation procedure into timelines
of clinical interest. Specifically we consider the Monodomain model and resort
to Proper Orthogonal Decomposition (POD) techniques to take advantage of an
off-line step when solving iteratively the electrocardiological forward model
online. In addition, we perform the Discrete Empirical Interpolation Method
(DEIM) to tackle the nonlinearity of the model. While standard POD techniques
usually fail in this kind of problems, due to the wave-front propagation
dynamics, an educated novel sampling of the parameter space based on the
concept of Domain of Effectiveness introduced here dramatically reduces the
computational cost of the inverse solver by at least 95%.


title: Scattering for a 3D coupled nonlinear Schr\"odinger system

abstract:
  We consider the three-dimensional cubic nonlinear Schr\"odinger system
  \begin{equation*} \begin{cases} i\partial_tu+\Delta u+(|u|^2+\beta
|v|^2)u=0,\\ i\partial_tv+\Delta v+(|v|^2+\beta |u|^2)v=0. \end{cases}
\end{equation*} Let $(P,Q)$ be any ground state solution of the above
Schr\"odinger system. We show that for any initial data $(u_0,v_0)$ in
$H^1(\mathbb{R}^3)\times H^1(\mathbb{R}^3)$ satisfying
$M(u_0,v_0)A(u_0,v_0)<M(P,Q)A(P,Q)$ and $M(u_0,v_0)E(u_0,v_0)<M(P,Q)E(P,Q)$,
where $M(u,v)$ and $E(u,v)$ are the mass and energy (invariant quantities)
associated to the system, the corresponding solution is global in
$H^1(\mathbb{R}^3)\times H^1(\mathbb{R}^3)$ and scatters. Our approach is in
the same spirit of Duyckaerts-Holmer-Roudenko, where the authors considered the
3D cubic nonlinear Schr\"odinger equation.


title:
Generalized distributed order diffusion equations with composite time
  fractional derivative

abstract:
  In this paper we investigate the solution of generalized distributed order
diffusion equations with composite time fractional derivative by using the
Fourier-Laplace transform method. We represent solutions in terms of infinite
series in Fox $H$-functions. The fractional and second moments are derived by
using Mittag-Leffler functions. We observe decelerating anomalous subdiffusion
in case of two composite time fractional derivatives. Generalized uniformly
distributed order diffusion equation, as a model for strong anomalous behavior,
is analyzed by using Tauberian theorem. Some previously obtained results are
special cases of those presented in this paper.


title: Acylindrical hyperbolicity of cubical small-cancellation groups

abstract:
  We provide an analogue of Strebel's classification of geodesic triangles in
classical $C'(\frac16)$ groups for groups given by Wise's cubical presentations
satisfying sufficiently strong metric cubical small cancellation conditions.
Using our classification, we prove that, except in specific degenerate cases,
such groups are acylindrically hyperbolic.


title:
The One-Armed Spiral Instability in Neutron Star Mergers and its
  Detectability in Gravitational Waves

abstract:
  We study the development and saturation of the $m=1$ one-armed spiral
instability in remnants of binary neutron star mergers by means of
high-resolution long-term numerical relativity simulations. Our results suggest
that this instability is a generic outcome of neutron stars mergers in
astrophysically relevant configurations; including both "stiff" and "soft"
nuclear equations of state. We find that, once seeded at merger, the $m=1$ mode
saturates within $\sim 10\ \mathrm{ms}$ and persists over secular timescales.
Gravitational waves emitted by the $m=1$ instability have a peak frequency
around $1-2\ \mathrm{kHz}$ and, if detected, could be used to constrain the
equation of state of neutron stars. We construct hybrid waveforms spanning the
entire Advanced LIGO band by combining our high-resolution numerical data with
state-of-the-art effective-one-body waveforms including tidal effects. We use
the complete hybrid waveforms to study the detectability of the one-armed
spiral instability for both Advanced LIGO and the Einstein Telescope. We
conclude that the one-armed spiral instability is not an efficient
gravitational wave emitter. Its observation by current generation detectors is
unlikely and will require third-generation interferometers.


title:
Unbounded periodic solutions to Serrin's overdetermined boundary value
  problem

abstract:
  We study the existence of nontrivial unbounded domains $\Omega$ in
$\mathbb{R}^N$ such that the overdetermined problem $$ -\Delta u = 1 \quad
\text{in $\Omega$}, \qquad u=0, \quad \partial_\nu u=\textrm{const} \qquad
\text{on $\partial \Omega$} $$ admits a solution $u$. By this, we complement
Serrin's classification result from 1971 which yields that every bounded domain
admitting a solution of the above problem is a ball in $\mathbb{R}^N$. The
domains we construct are periodic in some variables and radial in the other
variables, and they bifurcate from a straight (generalized) cylinder or slab.
We also show that these domains are uniquely self Cheeger relative to a period
cell for the problem.


title:
Lelong numbers, complex singularity exponents, and Siu's semicontinuity
  theorem

abstract:
  In this note, we present a relationship between Lelong numbers and complex
singularity exponents. As an application, we obtain a new proof of Siu's
semicontinuity theorem for Lelong numbers.


title: Convergence of Contrastive Divergence Algorithm in Exponential Family

abstract:
  The Contrastive Divergence (CD) algorithm has achieved notable success in
training energy-based models including Restricted Boltzmann Machines and played
a key role in the emergence of deep learning. The idea of this algorithm is to
approximate the intractable term in the exact gradient of the log-likelihood
function by using short Markov chain Monte Carlo (MCMC) runs. The approximate
gradient is computationally-cheap but biased. Whether and why the CD algorithm
provides an asymptotically consistent estimate are still open questions. This
paper studies the asymptotic properties of the CD algorithm in canonical
exponential families, which are special cases of the energy-based model.
Suppose the CD algorithm runs $m$ MCMC transition steps at each iteration $t$
and iteratively generates a sequence of parameter estimates $\{\theta_t\}_{t
\ge 0}$ given an i.i.d. data sample $\{X_i\}_{i=1}^n \sim p_{\theta_\star}$.
Under conditions which are commonly obeyed by the CD algorithm in practice, we
prove the existence of some bounded $m$ such that any limit point of the time
average $\left. \sum_{s=0}^{t-1} \theta_s \right/ t$ as $t \to \infty$ is a
consistent estimate for the true parameter $\theta_\star$. Our proof is based
on the fact that $\{\theta_t\}_{t \ge 0}$ is a homogenous Markov chain
conditional on the data sample $\{X_i\}_{i=1}^n$. This chain meets the
Foster-Lyapunov drift criterion and converges to a random walk around the
Maximum Likelihood Estimate. The range of the random walk shrinks to zero at
rate $\mathcal{O}(1/\sqrt[3]{n})$ as the sample size $n \to \infty$.


title: Variational inequalities for the spectral fractional Laplacian

abstract:
  In this paper we study the obstacle problems for the Navier (spectral)
fractional Laplacian $\left(-\Delta_\Omega\right)^{\!s}$ of order $s\in(0,1)$,
in a bounded domain $\Omega\subset\mathbb R^n$.


title:
Particle acceleration in explosive relativistic reconnection events and
  Crab Nebula gamma-ray flares

abstract:
  We develop a model of particle acceleration in explosive reconnection events
in relativistic magnetically-dominated plasmas and apply it to explain
gamma-ray flares from the Crab Nebula. The model relies on development of
current-driven instabilities on macroscopic scales (not related to plasma skin
depths). Using analytical and numerical methods (fluid and particle-in-cell
simulations), we study a number of model problems in relativistic
magnetically-dominated plasma: (i) we extend Syrovatsky's classical model of
explosive X-point collapse to magnetically-dominated plasmas; (ii) we consider
instability of two-dimensional force-free system of magnetic flux tubes; (iii)
we consider merger of two zero total poloidal current magnetic flux tubes. In
all cases regimes of spontaneous and driven evolution are investigated. We
identify two stages of particle acceleration: (i) fast explosive prompt X-point
collapse and (ii) ensuing island merger. The fastest acceleration occurs during
the initial catastrophic X-point collapse, with the reconnection electric field
of the order of the magnetic field. The explosive stage of reconnection
produces non-thermal power-law tails with slopes that depend on the average
magnetization. The X-point collapse stage is followed by magnetic island merger
that dissipates a large fraction of the initial magnetic energy in a regime of
forced reconnection, further accelerating the particles, but proceeds at a
slower reconnection rate. Crab flares result from the initial explosive stages
of magnetic island mergers of magnetic flux tubes produced in the bulk of
nebula at intermediate polar regions. The post-termination shock plasma flow in
the wind sectors with mild magnetization naturally generates large-scale highly
magnetized structures. Internal kink-like instabilities lead to the formation
of macroscopic current-carrying magnetic flux tubes that merge explosively.


title:
On the boundedness of threshold operators in $L_1[0,1]$ with respect to
  the Haar basis

abstract:
  We prove a near-unconditionality property for the normalized Haar basis of
$L_1[0,1]$.


title:
Estimation of weighted $L^2$ norm related to Demailly's Strong Openness
  Conjecture

abstract:
  In the present article, we obtain an estimation of the weighted $L^2$ norm
near the singularities of plurisubharmonic weight related to Demailly's strong
openness conjecture, which implies the convergence of the weighted $L^2$ norm.


title: Energy Flows in the Jupiter-Io System

abstract:
  With the laws of mass conservation, momentum conservation and energy
conservation, incorporating the processes of neutral gas ionization and ion
diffusion, we develop a self-consistent model for the bright ribbon --- the
most prominent feature in Io's plasma torus. The model parameters are well
constrained by earlier {\it in situ} observations with the Galileo and Voyager
spacescrafts. Our model calculation indicates that the total power dissipated
inside the torus is 3.6 times bigger than the total power transported to Jovian
ionosphere via Birkeland current. The power dissipation inside the torus is
relatively uniform. Most of the power transportation associated with the
Birkeland current, however, is localized near the flux tube of Io. With a
height-intergrated conductivity of 0.15$\,$mho in Jovian ionosphere, consistent
with earlier aeronomy models, the model gives a reasonable fit to the recent
observations of the FUV Io tail on Jupiter. Extra mass loading near Io is
required in the model. This excess of mass injection into the plasma torus may
explain the Io-correlated energy source revealed by earlier EUV observations
with the Voyager spacecrafts. Further investigation of the model implications
is warranted.


title: Generalized Stokes laws for active colloids and their applications

abstract:
  The force per unit area on the surface of a colloidal particle is a
fundamental dynamical quantity in the mechanics and statistical mechanics of
colloidal suspensions. Here we compute it in the limit of slow viscous flow for
a suspension of $N$ spherical active colloids in which activity is represented
by surface slip. Our result is best expressed as a set of linear relations, the
"generalized Stokes laws", between the coefficients of a tensorial spherical
harmonic expansion of the force per unit area and the surface slip. The
generalized friction tensors in these laws are many-body functions of the
colloidal configuration and can be obtained to any desired accuracy by solving
a system of linear equations. Quantities derived from the force per unit area -
forces, torques and stresslets on the colloids and flow, pressure and entropy
production in the fluid - have succinct expressions in terms of the generalized
Stokes laws. Most notably, the active forces and torques have a dissipative,
long-ranged, many-body character that can cause phase separation,
crystallization, synchronization and a variety of other effects observed in
active suspensions. We use the results above to derive the Langevin and
Smoluchowski equations for Brownian active suspensions, to compute active
contributions to the suspension stress and fluid pressure, and to relate the
synchrony in a lattice of harmonically trapped active colloids to entropy
production. Our results provide the basis for a microscopic theory of active
Brownian suspensions that consistently accounts for momentum conservation in
the bulk fluid and at fluid-solid boundaries


title: Construction of polar codes for arbitrary discrete memoryless channels

abstract:
  It is known that polar codes can be efficiently constructed for binary-input
channels. At the same time, existing algorithms for general input alphabets are
less practical because of high complexity. We address the construction problem
for the general case, and analyze an algorithm that is based on successive
reduction of the output alphabet size of the subchannels in each recursion
step. For this procedure we estimate the approximation error as
$O(\mu^{-1/(q-1)}),$ where $\mu$ is the "quantization parameter," i.e., the
maximum size of the subchannel output alphabet allowed by the algorithm. The
complexity of the code construction scales as $O(N\mu^4),$ where $N$ is the
length of the code.
  We also show that if the polarizing operation relies on modulo-$q$ addition,
it is possible to merge subsets of output symbols without any loss in
subchannel capacity. Performing this procedure before each approximation step
results in a further speed-up of the code construction, and the resulting codes
have smaller gap to capacity. We show that a similar acceleration can be
attained for polar codes over finite field alphabets.
  Experimentation shows that the suggested construction algorithms can be used
to construct long polar codes for alphabets of size $q=16$ and more with
acceptable loss of the code rate for a variety of polarizing transforms.


title: The double copy: Bremsstrahlung and accelerating black holes

abstract:
  Advances in our understanding of perturbation theory suggest the existence of
a correspondence between classical general relativity and Yang-Mills theory. A
concrete example of this correspondence, which is known as the double copy, was
recently introduced for the case of stationary Kerr-Schild spacetimes. Building
on this foundation, we examine the simple time-dependent case of an
accelerating, radiating point source. The gravitational solution, which
generalises the Schwarzschild solution, includes a non-trivial stress-energy
tensor. This stress-energy tensor corresponds to a gauge theoretic current in
the double copy. We interpret both of these sources as representing the
radiative part of the field. Furthermore, in the simple example of
Bremsstrahlung, we determine a scattering amplitude describing the radiation,
maintaining the double copy throughout. Our results provide the strongest
evidence yet that the classical double copy is directly related to the BCJ
double copy for scattering amplitudes.


title:
On the non-ergodic convergence rate of an inexact augmented Lagrangian
  framework for composite convex programming

abstract:
  In this paper, we consider the linearly constrained composite convex
optimization problem, whose objective is a sum of a smooth function and a
possibly nonsmooth function. We propose an inexact augmented Lagrangian (IAL)
framework for solving the problem. The stopping criterion used in solving the
augmented Lagrangian (AL) subproblem in the proposed IAL framework is weaker
and potentially much easier to check than the one used in most of the existing
IAL frameworks/methods. We analyze the global convergence and the non-ergodic
convergence rate of the proposed IAL framework.


title:
A Readability Analysis of Campaign Speeches from the 2016 US
  Presidential Campaign

abstract:
  Readability is defined as the reading level of the speech from grade 1 to
grade 12. It results from the use of the REAP readability analysis (vocabulary
- Collins-Thompson and Callan, 2004; syntax - Heilman et al ,2006, 2007), which
use the lexical contents and grammatical structure of the sentences in a
document to predict the reading level. After analysis, results were grouped
into the average readability of each candidate, the evolution of the
candidate's speeches' readability over time and the standard deviation, or how
much each candidate varied their speech from one venue to another. For
comparison, one speech from four past presidents and the Gettysburg Address
were also analyzed.


title:
Discovery of a bi-critical point between antiferromagnetic and
  superconducting phases in pressurized single crystal Ca0.73La0.27FeAs2

abstract:
  One of the most strikingly universal features of the high temperature
superconductors is that the superconducting phase emerges in the close
proximity of the antiferromagnetic phase, and the interplay between these two
phases poses a long standing challenge. It is commonly believed that,as the
antiferromagnetic transition temperature is continuously suppressed to zero,
there appears a quantum critical point, around which the existence of
antiferromagnetic fluctuation is responsible for the development of the
superconductivity. In contrast to this scenario, we report the discovery of a
bi-critical point identified at 2.88 GPa and 26.02 K in the pressurized high
quality single crystal Ca0.73La0.27FeAs2 by complementary in situ high pressure
measurements. At the critical pressure, we find that the antiferromagnetism
suddenly disappears and superconductivity simultaneously emerges at almost the
same temperature, and that the external magnetic field suppresses the
superconducting transition temperature but hardly affects the antiferromagnetic
transition temperature.


title: Comparative Raman study of Weyl semimetals TaAs, NbAs, TaP and NbP

abstract:
  We report a comparative polarized Raman study of Weyl semimetals TaAs, NbAs,
TaP and NbP. The evolution of the phonon frequencies with the sample
composition allows us to determine experimentally which atoms are mainly
involved for each vibration mode. Our results confirm previous first-principles
calculations indicating that the A$_1$, B$_1(2)$, E$(2)$ and E$(3)$ modes
involve mainly the As(P) atoms, the B$_1(1)$ mode is mainly related to Ta(Nb)
atoms, and the E$(1)$ mode involves both kinds of atoms. By comparing the
energy of the different modes, we establish that the B$_1(1)$, B$_1(2)$, E$(2)$
and E$(3)$ become harder with chemical pressure increasing. This behavior
differs from our observation on the A$_1$ mode, which decreases in energy, in
contrast to its behavior under external pressure.


title:
Many-electron integrals over gaussian basis functions. I. Recurrence
  relations for three-electron integrals

abstract:
  Explicitly-correlated F12 methods are becoming the first choice for
high-accuracy molecular orbital calculations, and can often achieve chemical
accuracy with relatively small gaussian basis sets. In most calculations, the
many three- and four-electron integrals that formally appear in the theory are
avoided through judicious use of resolutions of the identity (RI). However, in
order not to jeopardize the intrinsic accuracy of the F12 wave function, the
associated RI auxiliary basis set must be large. Here, inspired by the
Head-Gordon-Pople (HGP) and PRISM algorithms for two-electron integrals, we
present an algorithm to compute directly three-electron integrals over gaussian
basis functions and a very general class of three-electron operators, without
invoking RI approximations. A general methodology to derive vertical, transfer
and horizontal recurrence relations is also presented.

categories: physics.chem-ph cond-mat.other cond-mat.str-el physics.comp-ph


title:
A monogamy equalities of complementarity relation and distribute
  entanglement for multi-qubit pure states

abstract:
  We propose a method to detect genuine quantum correlation for multi-qubit
pure states. We then derive a complementarity relations for pure quantum states
of N qubits. We prove that in all many-qubit systems there exist strict
monogamy laws for quantum correlations. On the other hand, it is known that the
entanglement monogamy equality proposed by Coffman, Kundu, and Wootters is in
general not true for multiqubit states. Inducing from the CKW equality, we find
a proper form of entanglement monogamy equality for arbitrary quantum states.
The total quantum correlation of qubit k with the remaining qubits Rk can be
characterizes. Furthermore, the quantum correlation of qubit mn with the
remaining qubits Rmn can also be obtained. Furthermore, some monogamy relations
have been obtained.


title: Stability of travelling waves in a Wolbachia invasion

abstract:
  Numerous studies have examined the growth dynamics of Wolbachia within
populations and the resultant rate of spatial spread. This spread is typically
characterised as a travelling wave with bistable local growth dynamics due to a
strong Allee effect generated from cytoplasmic incompatibility. While this rate
of spread has been calculated from numerical solutions of reaction-diffusion
models, none have examined the spectral stability of such travelling wave
solutions. In this study we analyse the stability of a travelling wave solution
generated by the reaction-diffusion model of Chan & Kim (2013) by computing the
essential and point spectrum of the linearised operator arising in the model.
The point spectrum is computed via an Evans function using the compound matrix
method, whereby we find that it has no roots with positive real part. Moreover,
the essential spectrum lies strictly in the left half plane. Thus, we find that
the travelling wave solution found by Chan & Kim (2013) corresponding to
competition between Wolbachia-infected and -uninfected mosquitoes is linearly
stable. We employ a dimension counting argument to suggest that, under
realistic conditions, the wavespeed corresponding to such a solution is unique.


title: The polarisation of HD 189733

abstract:
  We present linear polarization observations of the exoplanet system HD 189733
made with the HIgh Precision Polarimetric Instrument (HIPPI) on the
Anglo-Australian Telescope (AAT). The observations have higher precision than
any previously reported for this object. They do not show the large amplitude
polarization variations reported by Berdyugina et al. 2008 and Berdyugina et
al. 2011. Our results are consistent with polarization data presented by
Wiktorowicz et al. 2015. A formal least squares fit of a Rayleigh-Lambert model
yields a polarization amplitude of 29.4 +/- 15.6 parts-per-million. We observe
a background constant level of polarization of ~ 55-70 ppm, which is a little
higher than expected for interstellar polarization at the distance of HD
189733.


title:
Extending Demand Response to Tenants in Cloud Data Centers via
  Non-intrusive Workload Flexibility Pricing

abstract:
  Participating in demand response programs is a promising tool for reducing
energy costs in data centers by modulating energy consumption. Towards this
end, data centers can employ a rich set of resource management knobs, such as
workload shifting and dynamic server provisioning. Nonetheless, these knobs may
not be readily available in a cloud data center (CDC) that serves cloud
tenants/users, because workloads in CDCs are managed by tenants themselves who
are typically charged based on a usage-based or flat-rate pricing and often
have no incentive to cooperate with the CDC operator for demand response and
cost saving. Towards breaking such "split incentive" hurdle, a few recent
studies have tried market-based mechanisms, such as dynamic pricing, inside
CDCs. However, such mechanisms often rely on complex designs that are hard to
implement and difficult to cope with by tenants. To address this limitation, we
propose a novel incentive mechanism that is not dynamic, i.e., it keeps pricing
for cloud resources unchanged for a long period. While it charges tenants based
on a Usage-based Pricing (UP) as used by today's major cloud operators, it
rewards tenants proportionally based on the time length that tenants set as
deadlines for completing their workloads. This new mechanism is called
Usage-based Pricing with Monetary Reward (UPMR). We demonstrate the
effectiveness of UPMR both analytically and empirically. We show that UPMR can
reduce the CDC operator's energy cost by 12.9% while increasing its profit by
4.9%, compared to the state-of-the-art approaches used by today's CDC operators
to charge their tenants.


title:
From vortices to solitonic vortices in trapped atomic Bose-Einstein
  condensates

abstract:
  Motivated by recent experiments we study theoretically the dynamics of
vortices in the crossover from two to one-dimension in atomic condensates in
elongated traps. We explore the transition from the dynamics of a vortex to
that of a dark soliton as the one-dimensional limit is approached, mapping this
transition out as a function of the key system parameters. Moreover, we probe
this transition dynamically through the hysteresis under time-dependent
deformation of the trap at the dimensionality crossover. When the solitonic
regime is probed during the hysteresis, significant angular momentum is lost
from the system but, remarkably, the vortex can re-emerge.


title: Tuenter polynomials and a Catalan triangle

abstract:
  We consider Tuenter polynomials as linear combinations of descending
factorials and show that coefficients of these linear combinations are
expressed via a Catalan triangle of numbers. We also describe a triangle of
coefficients in terms of some polynomials.


title:
Exponential Contraction in Wasserstein Distances for Diffusion
  Semigroups with Negative Curvature

abstract:
  Let $P_t$ be the (Neumann) diffusion semigroup $P_t$ generated by a weighted
Laplacian on a complete connected Riemannian manifold $M$ without boundary or
with a convex boundary. It is well known that the Bakry-Emery curvature is
bounded below by a positive constant $\ll>0$ if and only if $$W_p(\mu_1P_t,
\mu_2P_t)\le \e^{-\ll t} W_p (\mu_1,\mu_2),\ \ t\ge 0, p\ge 1 $$ holds for all
probability measures $\mu_1$ and $\mu_2$ on $M$, where $W_p$ is the $L^p$
Wasserstein distance induced by the Riemannian distance. In this paper, we
prove the exponential contraction $$W_p(\mu_1P_t, \mu_2P_t)\le c\e^{-\ll t} W_p
(\mu_1,\mu_2),\ \ p\ge 1, t\ge 0$$ for some constants $c,\ll>0$ for a class of
diffusion semigroups with negative curvature where the constant $c$ is
essentially larger than $1$. Similar results are derived for SDEs with
multiplicative noise by using explicit conditions on the coefficients, which
are new even for SDEs with additive noise.


title: Probing scalar tensor theories for gravity in redshift space

abstract:
  We present measurements of the spatial clustering statistics in redshift
space of various scalar field modified gravity simulations. We utilise the
two-point and the three-point correlation functions to quantify the spatial
distribution of dark matter halos within these simulations and thus discern
between the models. We compare $\Lambda$CDM simulations to various modified
gravity scenarios and find consistency with previous work in terms of 2-point
statistics in real and redshift-space. However using higher order statistics
such as the three-point correlation function in redshift space we find
significant deviations from $\Lambda$CDM hinting that higher order statistics
may prove to be a useful tool in the hunt for deviations from General
Relativity.


title: Role of the membrane for mechanosensing by tethered channels

abstract:
  Biologically important membrane channels are gated by force at attached
tethers. Here, we generically characterize the non-trivial interplay of force,
membrane tension, and channel deformations that can affect gating. A central
finding is that minute conical channel deformation under force leads to
significant energy release during opening. We also calculate channel-channel
interactions and show that they can amplify force sensitivity of tethered
channels.


title: Optimal Response to Burstable Billing under Demand Uncertainty

abstract:
  Burstable billing is widely adopted in practice, e.g., by colocation data
center providers, to charge for their users, e.g., data centers, for data
transferring. However, there is still a lack of research on what the best way
is for a user to manage its workload in response to burstable billing. To
overcome this shortcoming, we propose a novel method to optimally respond to
burstable billing under demand uncertainty. First, we develop a tractable
mathematical expression to calculate the 95th percentile usage of a user, who
is charged by provider via burstable billing for bandwidth usage. This model is
then used to formulate a new bandwidth allocation problem to maximize the
user's surplus, i.e., its net utility minus cost. Additionally, we examine
different non-convex solution methods for the formulated stochastic
optimization problem. We also extend our design to the case where a user can
receive service from multiple providers, who all employ burstable billing.
Using real-world workload traces, we show that our proposed method can reduce
user's bandwidth cost by 26% and increase its total surplus by 23%, compared to
the current practice of allocating bandwidth on-demand.


title:
Enhanced violation of the Lorentz invariance and Einstein's equivalence
  principle in nuclei and atoms

abstract:
  Local Lorentz Invariance violating (LLIV) and Einstein equivalence principle
violating (EEPV) effects in atomic experiments are discussed. The EEPV effects
are strongly enhanced in the narrow 7.8 eV transition in 229Th nucleus. Nuclear
LLIV momentum tensors describing anisotropy in the maximal attainable speed for
massive particles (analog of Michelson-Morley experiment for light) are
expressed in terms of the experimental values of nuclear quadrupole moments.
Calculations for nuclei of experimental interest 133Cs, 85Rb, 87Rb, 201Hg,
131Xe and 21Ne have been performed. The results for 21Ne are used to improve
the limits on the proton LLIV constants by 4 orders of magnitude.