title: Lepton Number Violation and Scalar Searches at the LHC

abstract:
  We review the SM extensions with scalar multiplets including doubly-charged
components eventually observable as di-leptonic resonances at the LHC. Special
emphasis is payed to the limits on LNV implied by doubly-charged scalar
searches at the LHC, and to the characterization of the multiplet
doubly-charged scalars belong to if they are observed to decay into same-sign
charged lepton pairs.


title: Non-Perturbative Time-Dependent Quantum Field Evolution

abstract:
  We present a nonperturbative, first-principles numerical approach for
time-dependent problems in the framework of quantum field theory. In this
approach the time evolution of quantum field systems is treated in real time
and at the amplitude level. As a test application, we apply this method to QED
and study photon emission from an electron in a strong, time-dependent external
field. Coherent superposition of electron acceleration and photon emission is
observed in the nonperturbative regime.


title: On highly supercritical oriented percolation in two dimensions

abstract:
  We consider independent and $m$-dependent two-dimensional oriented site
percolation with open-site density close to one started from Bernoulli product
measures. We show that the probability of an occupied interval in the former
process admits a lower bound which converges exponentially fast in time to the
probability that the interval percolates. To this end, we derive sharp
exponential bounds regarding the density of thinnings of the infinite cluster
in this process started from the origin. Our approach offers a unified manner
for deriving improvements to certain asymptotics invoked as auxiliary
statements in studies of particle systems via renormalization group techniques.


title: Bar pattern speed and position of the circumnuclear ring in NGC 1097

abstract:
  We present the first galactic-scale model of the gas dynamics of the
prototype barred Seyfert 1 galaxy NGC1097. We use large scale FaNTOmM
Fabry-Perot interferometric data covering the entire galactic disc and combine
the distribution and kinematics maps with high resolution two-dimensional
spectroscopy from the Gemini telescope. We build a dynamical model for the
gravitational potential by applying the analytic solution to the equations of
motion, within the epicyclic approximation. Our model reproduces all the
significant kinematic and structural signatures of this galaxy. We find that
the primary bar is 7.9+/-0.6 kpc long and has a pattern speed of 36 +/- 2 km
s^-1 kpc^-1. This places the corotation radius at 8.6 +/-0.5 kpc, the outer
Lindblad resonance at 14.9+/-0.9 kpc and two inner Lindblad resonances at
60+/-5 pc and 2.9+/-0.1 kpc. These derivations lead to a ratio of the
corotation radius over bar length of 1.0--1.2, which is in agreement with the
predictions of simulations for fast galaxy bars. Our model presents evidence
that the circumnuclear ring in this galaxy is not located near any of the
resonance radii in this galaxy. The ring might have once formed at the outer
inner Lindblad resonance radius, and it has been migrating inward, toward the
centre of the galactic gravitational potential.


title:
New topological excitations and melting transitions in quantum Hall
  systems

abstract:
  We discover a new topological excitation of two dimensional electrons in the
quantum Hall regime. The strain dependence of resistivity is shown to change
sign upon crossing filling-factor-specified boundaries of reentrant integer
quantum Hall effect (RIQHE) states. This observation violates the known
symmetry of electron bubbles thought to be responsible for the RIQHE. We
demonstrate theoretically that electron bubbles become elongated in the
vicinity of charge defects and form textures of finite size. Calculations
confirm that texturing lowers the energy of excitations. These textures form
hedgehogs (vortices) around defects having (lacking) one extra electron,
resulting in striking strain-dependent resistivity that changes sign on
opposite boundaries of the RIQHE. At low density these textures form an
insulating Abrikosov lattice. At densities sufficient to cause the textures to
overlap, their interactions are described by the XY-model and the lattice
melts. This melting explains the sharp metal-insulator transition observed in
finite temperature conductivity measurements.


title: Glitch or Anti-Glitch: a Bayesian View

abstract:
  The sudden spin-down in the rotation of magnetar 1E 2259+586 observed by
Archibald et al. (2013) was a rare event. However this particular event,
referred to as an anti-glitch, was followed by another event which Archibald et
al. (2013) suggested could either be a conventional glitch or another
anti-glitch. Although there is no accompanied radiation activity or pulse
profile change, there is decisive evidence for the existence of the second
timing event, judging from the timing data. We apply Bayesian Model Selection
to quantitatively determine which of these possibilities better explains the
observed data. We show that the observed data strongly supports the presence of
two successive anti-glitches with a Bayes Factor, often called the odds ratio,
greater than 40. Furthermore, we show that the second anti-gtlich has an
associated frequency change $\Delta\nu$ of $-8.2 \times 10^{-8}$ Hz. We discuss
the implications of these results for possible physical mechanisms behind this
anti-glitch.


title:
The evolution of the dust temperatures of galaxies in the SFR$-M_{\ast}$
  plane up to $z$$\,\thicksim\,$$2$

abstract:
  [Abridged] We study the evolution of the dust temperatures of galaxies in the
SFR-M* plane up to z~2 using observations from the Herschel Space Observatory.
Starting from a sample of galaxies with reliable star-formation rates (SFRs),
stellar masses (M*) and redshift estimates, we grid the SFR-M* parameter space
in several redshift ranges and estimate the mean Tdust of each SFR-M*-z bin.
Dust temperatures are inferred using the stacked far-infrared flux densities of
our SFR-M*-z bins. At all redshifts, Tdust increases with infrared luminosities
(LIR), specific SFRs (SSFR; i.e., SFR/M*) and distances with respect to the
main sequence (MS) of the SFR-M* plane (i.e.,
D_SSFR_MS=log[SSFR(galaxy)/SSFR_MS(M*,z)]). The Tdust-SSFR and Tdust-D_SSFR_MS
correlations are statistically more significant than the Tdust-LIR one. While
the slopes of these three correlations are redshift-independent, their
normalizations evolve from z=0 and z~2. We convert these results into a recipe
to derive Tdust from SFR, M* and z. The existence of a strong Tdust-D_SSFR_MS
correlation provides us with information on the dust and gas content of
galaxies. (i) The slope of the Tdust-D__SSFR_MS correlation can be explained by
the increase of the star-formation efficiency (SFE; SFR/Mgas) with D_SSFR_MS as
found locally by molecular gas studies. (ii) At fixed D_SSFR_MS, the constant
Tdust observed in galaxies probing large ranges in SFR and M* can be explained
by an increase or decrease of the number of star-forming regions with
comparable SFE enclosed in them. (iii) At high redshift, the normalization
towards hotter temperature of the Tdust-D_SSFR_MS correlation can be explained
by the decrease of the metallicities of galaxies or by the increase of the SFE
of MS galaxies. All these results support the hypothesis that the conditions
prevailing in the star-forming regions of MS and far-above-MS galaxies are
different.


title:
Experimental realization of multipartite entanglement of 60 modes of a
  quantum optical frequency comb

abstract:
  We report the experimental realization and characterization of one 60-mode
copy, and of two 30-mode copies, of a dual-rail quantum-wire cluster state in
the quantum optical frequency comb of a bimodally pumped optical parametric
oscillator. This is the largest entangled system ever created whose subsystems
are all available simultaneously. The entanglement proceeds from the coherent
concatenation of a multitude of EPR pairs by a single beam splitter, a
procedure which is also a building block for the realization of
hypercubic-lattice cluster states for universal quantum computing.


title: The entirely coupled region of supercritical contact processes

abstract:
  We consider translation-invariant, finite range, supercritical contact
processes. We show the existence of unbounded space-time cones within which the
descendancy of the process from full occupancy may with positive probability be
identical to that of the process from the single site at its apex. The proof
comprises an argument that leans upon refinements of a successful coupling
among these two processes, and is valid in $d$-dimensions.


title: Implementing and reasoning about hash-consed data structures in Coq

abstract:
  We report on four different approaches to implementing hash-consing in Coq
programs. The use cases include execution inside Coq, or execution of the
extracted OCaml code. We explore the different trade-offs between faithful use
of pristine extracted code, and code that is fine-tuned to make use of OCaml
programming constructs not available in Coq. We discuss the possible
consequences in terms of performances and guarantees. We use the running
example of binary decision diagrams and then demonstrate the generality of our
solutions by applying them to other examples of hash-consed data structures.


title:
An Axiomatization for Quantum Processes to Unifying Quantum and
  Classical Computing

abstract:
  We establish an axiomatization for quantum processes, which is a quantum
generalization of process algebra ACP (Algebra of Communicating Processes). We
use the framework of a quantum process configuration $\langle p,
\varrho\rangle$, but we treat it as two relative independent part: the
structural part $p$ and the quantum part $\varrho$, because the establishment
of a sound and complete theory is dependent on the structural properties of the
structural part $p$. We let the quantum part $\varrho$ be the outcomes of
execution of $p$ to examine and observe the function of the basic theory of
quantum mechanics. We establish not only a strong bisimularity for quantum
processes, but also a weak bisimularity to model the silent step and abstract
internal computations in quantum processes. The relationship between quantum
bisimularity and classical bisimularity is established, which makes an
axiomatization of quantum processes possible. An axiomatization for quantum
processes called qACP is designed, which involves not only quantum information,
but also classical information and unifies quantum computing and classical
computing. qACP can be used easily and widely for verification of most quantum
communication protocols.


title: Long-Term Memory: Scaling of Information to Brain Size

abstract:
  The material bases of information - paper, computer discs - usually scale
with information quantity. Large quantities of information usually require
large material bases. Conventional wisdom has it that human long-term memory
locates within brain tissue, and so might be expected to scale with brain size
which, in turn, depends on cranial capacity. Large memories, as in savants,
should always require large heads. Small heads should always scale with small
memories. While it was previously concluded that neither of these predictions
was invariably true, the evidence was weak. Brain size also depends on
ventricle size, which can remain large in some survivors of childhood
hydrocephaly, occupying 95% of cranial volume. Yet some of these have normal or
advanced intelligence, indicating little impairment of long-term memory. This
paradox challenges the scaling hypothesis. Perhaps we should be looking further
afield?


title:
Measuring Boosted Tops in Semi-leptonic $t\bar t$ Events for the
  Standard Model and Beyond

abstract:
  We present a procedure for tagging boosted semi-leptonic $t\bar t$ events
based on the Template Overlap Method. We introduce a new formulation of the
template overlap function for leptonically decaying boosted tops and show that
it can be used to compensate for the loss of background rejection due to
reduction of b-tagging efficiency at high $p_T$. A study of asymmetric top pair
production due to higher order effects shows that our approach improves the
resolution of the truth level kinematic distributions. We show that the
hadronic top overlap is weakly susceptible to pileup up to 50 interactions per
bunch crossing, while leptonic overlap remains impervious to pileup to at least
70 interactions. A case study of Randall-Sundrum Kaluza-Klein gluon production
suggests that the new formulation of semi-leptonic template overlap can extend
the projected exclusion of the LHC $\sqrt{s}$ = 8 TeV run to Kaluza-Klein gluon
masses of 2.7 TeV, using the leading order signal cross section.


title:
Photonic band gap in isotropic hyperuniform disordered solids with low
  dielectric contrast

abstract:
  We report the first experimental demonstration of a TE-polarization photonic
band gap (PBG) in a 2D isotropic hyperuniform disordered solid (HUDS) made of
dielectric media with a index contrast of 1.6:1, very low for PBG formation.
The solid is composed of a connected network of dielectric walls enclosing
air-filled cells. Direct comparison with photonic crystals and quasicrystals
permitted us to investigate band-gap properties as a function of increasing
rotational isotropy. We present results from numerical simulations proving that
the PBG observed experimentally for HUDS at low index contrast has zero density
of states. The PBG is associated with the energy difference between
complementary resonant modes above and below the gap, with the field
predominantly concentrated in the air or in the dielectric. The intrinsic
isotropy of HUDS may offer unprecedented flexibilities and freedom in
applications (i. e. defect architecture design) not limited by crystalline
symmetries.


title:
Lyapunov exponents and regularity of invariant foliations for partially
  hyperbolic diffeomophisms on $\mathbb T^3$

abstract:
  We briefly survey some of the recent results concerning the metric behavior
of the invariant foliations for a partially hyperbolic on a three-dimensional
manifold and propose a conjecture to characterize atomic behavior for
conservative partially hyperbolic homotopic to Anosov (DA) on $\mathbb T^3$. On
the other hand we prove that if one of the invariant foliations (stable, center
or unstable) of a conservative DA on $\mathbb T^3$ is $C^1$ and transversely
absolutely continuous with bounded Jacobians the Lyapunov exponent on this
direction is defined everywhere and constant. If the center foliation is this
foliaion then the DA diffeomophism is smoothly conjugated to a linear Anosov,
in particular Anosov. Another consequence of the main theorem is that it does
not exist a conservative Ma\~n\'e's example.


title: Derived subdivisions make every PL sphere polytopal

abstract:
  We give a simple proof that some iterated derived subdivision of every PL
sphere is combinatorially equivalent to the boundary of a simplicial polytope,
thereby resolving a problem of Billera (personal communication).


title:
Toward the Global Structure of Conformal Theories in the SU(3) Gauge
  Theory

abstract:
  We introduce a new concept "conformal theories with an IR cutoff", after
pointing out that the following two categories in SU(3) gauge theories with
fundamental N_f fermions possess an IR fixed point: Large N_f QCD with N_f in
the conformal window (referred as Conformal QCD) and small N_f QCD with N_f out
of the conformal window at temperature T/Tc > 1 (referred as High Temperature
QCD).
  In the conformal theories with an IR cutoff there exists the "conformal
region'" together with the confining region and the deconfining region. We
verify numerically on a lattice of the size 16^3 x64 the existence of the
conformal region and the non-trivial Z(3) structure of the vacuum and the
Yukawa-type decay form of meson propagators in the conformal region.
  We stress that High Temperature QCD is intrinsically accompanied with an IR
cutoff. Therefore the understanding the vacuum structure and the property of
correlation functions is the key to resolve long standing issues in High
Temperature QCD.
  We further argue that there is a precise correspondence between Conformal QCD
and High Temperature QCD in the temporal propagators under the change of the
parameters N_f and T/T_c respectively: the one boundary is close to meson
states and the other is close to free quark states.
  In particular, we find the correspondence between Conformal QCD with N_f = 7
and High Temperature QCD with N_f=2 at T ~ 2 Tc being in close relation to a
meson unparticle model. From this we estimate the anomalous mass dimension
gamma* = 1.2 (1) for N_f=7.


title:
Experimental Electronic Structure of the Metallic Pyrochlore Iridate
  Bi2Ir2O7

abstract:
  Angle-resolved photoemission measurements have been performed on Bi2Ir2O7
single crystals, a prototypical example of the pyrochlore iridates. The density
of states, the Fermi surface, and the near Fermi level band dispersion in the
plane perpendicular to the (111) direction were all measured and found to be in
overall agreement with our LDA + SOC density functional calculations. Our
observations indicate the general validity of the LDA + SOC-based approach for
the electronic structure of pyrochlore iridates, raising the possibility that
some of the novel predicted phases such as quantum spin ice or Weyl Fermion
states may exist in this family of compounds.


title: An Experience based Evaluation Process for ERP bids

abstract:
  Enterprise Resource Planning ERP systems integrate information across an
entire organization that automate core activities such as finance accounting,
human resources, manufacturing, production and supply chain management etc. to
facilitate an integrated centralized system and rapid decision making resulting
in cost reduction, greater planning, and increased control. Many organizations
are updating their current management information systems with ERP systems.
This is not a trivial task. They have to identify the organizations objectives
and satisfy a myriad of stakeholders. They have to understand what business
processes they have, how they can be improved, and what particular systems
would best suit their needs. They have to understand how an ERP system is
built, it involves the modification of an existing system with its own set of
business rules. Deciding what to ask for and how to select the best option is a
very complex operation and there is limited experience with this type of
contracting in organizations. In this paper we discuss a particular experience
with contracting out an ERP system, provide some lessons learned, and offer
suggestions in how the RFP and bid selection processes could have been
improved.


title: List edge-colouring and total colouring in graphs of low treewidth

abstract:
  We prove that the list chromatic index of a graph of maximum degree $\Delta$
and treewidth $\leq \sqrt{2\Delta} -3$ is $\Delta$; and that the total
chromatic number of a graph of maximum degree $\Delta$ and treewidth $\leq
\Delta/3 +1$ is $\Delta +1$. This improves results by Meeks and Scott.


title:
Coordinated Tethering for Multi-RAT Cellular Networks: An Algorithmic
  Solution and Performance Analysis

abstract:
  The exploitation of already deployed wireless local area networks (WLAN)s
(e.g., WiFi access points (AP)s) has attracted considerable attention, as an
efficient and practical method to improve the performance of beyond 4G wireless
networks. In this paper, we propose a novel communication paradigm to satisfy
the performance demands of future wireless networks: a hybrid Cellular/WLAN
network architecture with wireless offloading. In contrast to the commonly
adopted practice of WiFi offloading, where the WLAN APs have a wired backhaul
(e.g., Digital Subscriber Line), we propose a wireless offloading approach,
where the WLAN APs will share their wireless cellular broadband connection with
other users. These users will select their serving node, i.e., the macro-cell
eNodeB or a WLAN AP, based on a certain selection criterion. Thus a challenging
research field is originated, where interfering effects and wireless resources
limitations play a dominant role. Important performance metrics of the proposed
hybrid scheme, including the bit error probability, the ergodic capacity and
the average signal-to-interference-plus noise ratio, are theoretically studied
and closed form expressions are derived for the single-user case with multiple
interferers, for both identical and non-identical fading conditions. Also,
based on the general multi-cellular hybrid WLAN-Cellular concept, we first
propose a intercell interference minimization approach. Then we present a novel
scheme for achieving frequency reuse equal to one within a single macro-cell,
under specific performance criteria and constraints, that guarantee the overall
cell or the individual user QoS requirements.


title: Approximate Inference in Continuous Determinantal Point Processes

abstract:
  Determinantal point processes (DPPs) are random point processes well-suited
for modeling repulsion. In machine learning, the focus of DPP-based models has
been on diverse subset selection from a discrete and finite base set. This
discrete setting admits an efficient sampling algorithm based on the
eigendecomposition of the defining kernel matrix. Recently, there has been
growing interest in using DPPs defined on continuous spaces. While the
discrete-DPP sampler extends formally to the continuous case, computationally,
the steps required are not tractable in general. In this paper, we present two
efficient DPP sampling schemes that apply to a wide range of kernel functions:
one based on low rank approximations via Nystrom and random Fourier feature
techniques and another based on Gibbs sampling. We demonstrate the utility of
continuous DPPs in repulsive mixture modeling and synthesizing human poses
spanning activity spaces.


title:
Learning Mixtures of Discrete Product Distributions using Spectral
  Decompositions

abstract:
  We study the problem of learning a distribution from samples, when the
underlying distribution is a mixture of product distributions over discrete
domains. This problem is motivated by several practical applications such as
crowd-sourcing, recommendation systems, and learning Boolean functions. The
existing solutions either heavily rely on the fact that the number of
components in the mixtures is finite or have sample/time complexity that is
exponential in the number of components. In this paper, we introduce a
polynomial time/sample complexity method for learning a mixture of $r$ discrete
product distributions over $\{1, 2, \dots, \ell\}^n$, for general $\ell$ and
$r$. We show that our approach is statistically consistent and further provide
finite sample guarantees.
  We use techniques from the recent work on tensor decompositions for
higher-order moment matching. A crucial step in these moment matching methods
is to construct a certain matrix and a certain tensor with low-rank spectral
decompositions. These tensors are typically estimated directly from the
samples. The main challenge in learning mixtures of discrete product
distributions is that these low-rank tensors cannot be obtained directly from
the sample moments. Instead, we reduce the tensor estimation problem to: $a$)
estimating a low-rank matrix using only off-diagonal block elements; and $b$)
estimating a tensor using a small number of linear measurements. Leveraging on
recent developments in matrix completion, we give an alternating minimization
based method to estimate the low-rank matrix, and formulate the tensor
completion problem as a least-squares problem.


title:
Locality and applications to subsumption testing and interpolation in
  $\mathcal{EL}$ and some of its extensions

abstract:
  In this paper we show that subsumption problems in lightweight description
logics (such as $\mathcal{EL}$ and $\mathcal{EL}^+$) can be expressed as
uniform word problems in classes of semilattices with monotone operators. We
use possibilities of efficient local reasoning in such classes of algebras, to
obtain uniform PTIME decision procedures for CBox subsumption in
$\mathcal{EL}$, $\mathcal{EL}^+$ and extensions thereof. These locality
considerations allow us to present a new family of (possibly many-sorted)
logics which extend $\mathcal{EL}$ and $\mathcal{EL}^+$ with $n$-ary roles
and/or numerical domains. As a by-product, this allows us to show that the
algebraic models of ${\cal EL}$ and ${\cal EL}^+$ have ground interpolation and
thus that ${\cal EL}$, ${\cal EL}^+$, and their extensions studied in this
paper have interpolation. We also show how these ideas can be used for the
description logic $\mathcal{EL}^{++}$.


title: The other pullback lemma

abstract:
  Given a composition of two commutative squares, one well-known pullback lemma
says that if both squares are pullbacks, then their composition is also a
pullback; another well-known pullback lemma says that if the composed square is
a pullback and the supporting square is a pullback, then the other square is a
pullback as well. This note investigates the third of the possibilities.


title: Superconducting Memristors

abstract:
  In his original work Josephson predicted that a phase-dependent conductance
should be present in superconducting tunnel junctions, an effect difficult to
detect, mainly because it is hard to single it out from the usual
non-dissipative Josephson current. We propose a solution for this problem that
consists in using different superconducting materials to realize the two
junctions of a superconducting interferometer. According to the
Ambegaokar-Baratoff relation the two junctions have different conductances if
the critical currents are equal, thus the Josephson current can be suppressed
by fixing the magnetic flux in the loop at half of a flux quantum without
cancelling the phase-dependent conductance. Our proposal can be used to study
the phase-dependent conductance, an effect present in principle in all
superconducting weak links. From the standpoint of nonlinear circuit theory
such a device is in fact an ideal memristor with possible applications to
memories and neuromorphic computing in the framework of ultrafast and low
energy consumption superconducting digital circuits.


title: Riemann-Hilbert Approach to the Elastodynamic Equation. Half plane

abstract:
  We show, how the Riemann-Hilbert approach to the elastodynamic equations,
which have been suggested in our preceding papers, works in the half-plane
case. We pay a special attention to the appearance of the Rayleigh waves within
the scheme.


title: Resolved Imaging of the HR 8799 Debris Disk with Herschel

abstract:
  We present Herschel far-infrared and submillimeter maps of the debris disk
associated with the HR 8799 planetary system. We resolve the outer disk
emission at 70, 100, 160 and 250 um and detect the disk at 350 and 500 um. A
smooth model explains the observed disk emission well. We observe no obvious
clumps or asymmetries associated with the trapping of planetesimals that is a
potential consequence of planetary migration in the system. We estimate that
the disk eccentricity must be <0.1. As in previous work by Su et al. (2009), we
find a disk with three components: a warm inner component and two outer
components, a planetesimal belt extending from 100 - 310 AU, with some
flexibility (+/- 10 AU) on the inner edge, and the external halo which extends
to ~2000 AU. We measure the disk inclination to be 26 +/- 3 deg from face-on at
a position angle of 64 deg E of N, establishing that the disk is coplanar with
the star and planets. The SED of the disk is well fit by blackbody grains whose
semi-major axes lie within the planetesimal belt, suggesting an absence of
small grains. The wavelength at which the spectrum steepens from blackbody, 47
+/- 30 um, however, is short compared to other A star debris disks, suggesting
that there are atypically small grains likely populating the halo. The PACS
longer wavelength data yield a lower disk color temperature than do MIPS data
(24 and 70 um), implying two distinct halo dust grain populations.


title: Authorship Attribution Using Word Network Features

abstract:
  In this paper, we explore a set of novel features for authorship attribution
of documents. These features are derived from a word network representation of
natural language text. As has been noted in previous studies, natural language
tends to show complex network structure at word level, with low degrees of
separation and scale-free (power law) degree distribution. There has also been
work on authorship attribution that incorporates ideas from complex networks.
The goal of our paper is to explore properties of these complex networks that
are suitable as features for machine-learning-based authorship attribution of
documents. We performed experiments on three different datasets, and obtained
promising results.


title: Optimal post-processing for a generic single-shot qubit readout

abstract:
  We analyze three different post-processing methods applied to a single-shot
qubit readout: the average-signal (boxcar filter), peak-signal, and
maximum-likelihood methods. In contrast to previous work, we account for a
stochastic turn-on time $t_i$ associated with the leading edge of a pulse
signaling one of the qubit states. This model is relevant to spin-qubit
readouts based on spin-to-charge conversion and would be generically reached in
the limit of large signal-to-noise ratio $r$ for several other physical
systems, including fluorescence-based readouts of ion-trap qubits and
nitrogen-vacancy center spins. We derive analytical closed-form expressions for
the conditional probability distributions associated with the peak-signal and
boxcar filters. For the boxcar filter, we find an asymptotic scaling of the
single-shot error rate $\varepsilon \sim \ln r/\sqrt{r}$ when $t_i$ is
stochastic, in contrast to the result $\varepsilon \sim \ln r/ r$ for
deterministic $t_i$. Consequently, the peak-signal method outperforms the
boxcar filter significantly when $t_i$ is stochastic, but is only marginally
better for deterministic $t_i$ (a result that is consistent with the widespread
use of the boxcar filter for fluorescence-based readouts and the peak-signal
for spin-to-charge conversion). We generalize the theoretically optimal
maximum-likelihood method to stochastic $t_i$ and show numerically that a
stochastic turn-on time $t_i$ will always result in a larger single-shot error
rate. Based on this observation, we propose a general strategy to improve the
quality of single-shot readouts by forcing $t_i$ to be deterministic.


title:
Introduction to Basis Light-Front Quantization Approach to QCD Bound
  State Problems

abstract:
  Basis Light-Front Quantized Field Theory (BLFQ) is an $\textit{ab intio}$
Hamiltonian approach that adopts light-cone gauge, light-front quantization and
state-of-the-art many-body methods to solve non-perturbative quantum field
theory problems. By a suitable choice of basis, BLFQ retains the underlying
symmetries to the extent allowed within light-front coordinates. In this talk,
we outline the scheme for applying BLFQ to QCD bound state problems. We adopt a
2D Harmonic Oscillator with 1D plane wave basis that corresponds to the AdS/QCD
soft-wall solution. Exact treatment of the symmetries will be discussed.


title: Large deviations for the Sine_beta and Sch_tau processes

abstract:
  We study two one-parameter families of point processes connected to random
matrices: the Sine_beta and Sch_tau processes. The first one is the bulk point
process limit for the Gaussian beta-ensemble. For beta=1, 2 and 4 it gives the
limit of the GOE, GUE and GSE models of random matrix theory. In particular,
for beta=2 it is a determinantal point process conjectured to have similar
behavior to the critical zeros of the Riemann zeta-function. The second process
can be obtained as the bulk scaling limit of the spectrum of certain discrete
one-dimensional random Schr\"odinger operators.
  Both processes have asymptotically constant average density, in our
normalization one expects close to lambda/(2pi) points in a large interval of
length lambda. Our main results are large deviation principles for the average
densities of the processes, essentially we compute the asymptotic probability
of seeing an unusual average density in a large interval. Our approach is based
on the representation of the counting functions of these processes using
stochastic differential equations. We also prove path level large deviation
principles for the arising diffusions.
  Our techniques work for the full range of parameter values. The results are
novel even in the classical beta=1, 2 and 4 cases for the Sine_beta process.
They are consistent with the existing rigorous results on large gap
probabilities and confirm the physical predictions made using log-gas
arguments.


title: Abelian, amenable operator algebras are similar to C*-algebras

abstract:
  Suppose that H is a complex Hilbert space and that B(H) denotes the bounded
linear operators on H. We show that every abelian, amenable operator algebra is
similar to a C*-algebra. We do this by showing that if A is an abelian
subalgebra of B(H) with the property that given any bounded representation
$\varrho: A \to B(H_\varrho)$ of A on a Hilbert space $H_\varrho$, every
invariant subspace of $\varrho(A)$ is topologically complemented by another
invariant subspace of $\varrho(A)$, then A is similar to an abelian
$C^*$-algebra.


title: A group sum inequality and its application to power graphs

abstract:
  Let $G$ be a finite group of order $n$, and let $C_n$ be the cyclic group of
order $n$. We show that $\sum_{g \in C_n} \phi(\mathrm{o}(g))\geq \sum_{g \in
G} \phi(\mathrm{o}(g))$, with equality if and only if $G$ is isomorphic to
$C_n$. As an application, we show that among all finite groups of a given
order, the cyclic group of that order has the maximum number of undirected
edges in its directed power graph.


title: Edge-maximality of power graphs of finite cyclic groups

abstract:
  We show that among all finite groups of any given order, the cyclic group of
that order has the maximum number of edges in its power graph. Contains
corrections to published version.


title: Bounds for generalized Sidon sets

abstract:
  Let $\Gamma$ be an abelian group and $g \geq h \geq 2$ be integers. A set $A
\subset \Gamma$ is a $C_h[g]$-set if given any set $X \subset \Gamma$ with $|X|
= k$, and any set $\{ k_1 , \dots , k_g \} \subset \Gamma$, at least one of the
translates $X+ k_i$ is not contained in $A$. For any $g \geq h \geq 2$, we
prove that if $A \subset \{1,2, \dots ,n \}$ is a $C_h[g]$-set in $\mathbb{Z}$,
then $|A| \leq (g-1)^{1/h} n^{1 - 1/h} + O(n^{1/2 - 1/2h})$. We show that for
any integer $n \geq 1$, there is a $C_3 [3]$-set $A \subset \{1,2, \dots , n
\}$ with $|A| \geq (4^{-2/3} + o(1)) n^{2/3}$. We also show that for any odd
prime $p$, there is a $C_3[3]$-set $A \subset \mathbb{F}_p^3$ with $|A| \geq
p^2 - p$, which is asymptotically best possible. Using the projective norm
graphs from extremal graph theory, we show that for each integer $h \geq 3$,
there is a $C_h[h! +1]$-set $A \subset \{1,2, \dots , n \}$ with $|A| \geq (
c_h +o(1))n^{1-1/h}$. A set $A$ is a \emph{weak $C_h[g]$-set} if we add the
condition that the translates $X +k_1, \dots , X + k_g$ are all pairwise
disjoint. We use the probabilistic method to construct weak $C_h[g]$-sets in
$\{1,2, \dots , n \}$ for any $g \geq h \geq 2$. Lastly we obtain upper bounds
on infinite $C_h[g]$-sequences. We prove that for any infinite
$C_h[g$]-sequence $A \subset \mathbb{N}$, we have $A(n) = O ( n^{1 - 1/h} (
\log n )^{ - 1/h} )$ for infinitely many $n$, where $A(n) = | A \cap \{1,2,
\dots , n \}|$.


title: The Framework, Causal and Co-compact Structure of Space-time

abstract:
  We introduce a canonical, compact topology, which we call weakly causal,
naturally generated by the causal site of J. D. Christensen and L. Crane, a
pointless algebraic structure motivated by certain problems of quantum gravity.
We show that for every four-dimensional globally hyperbolic Lorentzian manifold
there exists an associated causal site, whose weakly causal topology is
co-compact with respect to the manifold topology and vice versa. Thus, the
causal site has the full information about the topology of space-time,
represented by the Lorentzian manifold. In addition, we show that there exist
also non-Lorentzian causal sites (whose causal relation is not a continuous
poset) and so the weakly causal topology and its de Groot dual extends the
usual manifold topology of space-time beyond topologies generated by the
traditional, smooth model. As a source of inspiration in topologizing the
studied causal structures, we use some methods and constructions of general
topology and formal concept analysis.


title: Learning Input and Recurrent Weight Matrices in Echo State Networks

abstract:
  Echo State Networks (ESNs) are a special type of the temporally deep network
model, the Recurrent Neural Network (RNN), where the recurrent matrix is
carefully designed and both the recurrent and input matrices are fixed. An ESN
uses the linearity of the activation function of the output units to simplify
the learning of the output matrix. In this paper, we devise a special technique
that take advantage of this linearity in the output units of an ESN, to learn
the input and recurrent matrices. This has not been done in earlier ESNs due to
their well known difficulty in learning those matrices. Compared to the
technique of BackPropagation Through Time (BPTT) in learning general RNNs, our
proposed method exploits linearity of activation function in the output units
to formulate the relationships amongst the various matrices in an RNN. These
relationships results in the gradient of the cost function having an analytical
form and being more accurate. This would enable us to compute the gradients
instead of obtaining them by recursion as in BPTT. Experimental results on
phone state classification show that learning one or both the input and
recurrent matrices in an ESN yields superior results compared to traditional
ESNs that do not learn these matrices, especially when longer time steps are
used.


title:
Holonomies of gauge fields in twistor space 6: incorporation of massive
  fermions

abstract:
  Following the previous paper arXiv:1205.4827, we formulate an S-matrix
functional for massive fermion ultra-helicity-violating (UHV) amplitudes, i.e.,
scattering amplitudes of positive-helicity gluons and a pair of massive
fermions. The S-matrix functional realizes a massive extension of the
Cachazo-Svrcek-Witten (CSW) rules in a functional language. Mass-dimension
analysis implies that interactions among gluons and massive fermions should be
decomposed into three-point massive fermion subamplitudes. Namely, such
interactions are represented by combinations of three-point UHV and next-to-UHV
(NUHV) vertices. This feature is qualitatively different from the massive
scalar amplitudes where the number of involving gluons can be arbitrary.


title:
A survey for transients and variables with the Murchison Widefield Array
  32-tile prototype at 154 MHz

abstract:
  We present a search for transient and variable radio sources at 154 MHz with
the Murchison Widefield Array 32-tile prototype. Fifty-one images were obtained
that cover a field of view of 1430 deg^2 centred on Hydra A. The observations
were obtained over three days in 2010 March and three days in 2011 April and
May. The mean cadence of the observations was 26 minutes and there was
additional temporal information on day and year timescales. We explore the
variability of a sample of 105 low frequency radio sources within the field.
Four bright (S > 6 Jy) candidate variable radio sources were identified that
displayed low levels of short timescale variability (26 minutes). We conclude
that this variability is likely caused by simplifications in the calibration
strategy or ionospheric effects. On the timescale of one year we find two
sources that show significant variability. We attribute this variability to
either refractive scintillation or intrinsic variability. No radio transients
were identified and we place an upper limit on the surface density of sources
rho < 7.5 x 10^-5 deg^-2 with flux densities > 5.5 Jy, and characteristic
timescales of both 26 minutes and one year.


title: Time-Reversal Generation of Rogue Waves

abstract:
  The formation of extreme localizations in nonlinear dispersive media can be
explained and described within the framework of nonlinear evolution equations,
such as the nonlinear Schr\"odinger equation (NLS). Within the class of exact
NLS breather solutions on finite background, which describe the modulational
instability of monochromatic wave trains, the hierarchy of both in time and
space localized rational solutions are considered to be appropriate prototypes
to model rogue wave dynamics. Here, we use the time-reversal invariance of the
NLS to propose and experimentally demonstrate a new approach to construct
strongly nonlinear localized waves focused both in time and space. The
potential areas of applications of this time-reversal approach range from
remote sensing to motivated analogous experimental analysis in other nonlinear
dispersive media, such as optics, Bose-Einstein condensates and plasma, where
the wave motion dynamics is governed by the NLS.


title:
Microscopic understanding for the simplicity of the quadrupole moments
  newly observed in Cd isotopes

abstract:
  The simplicity in the nuclear quadrupole moments reported recently in
$^{107-129}$Cd, i.e., a linear increase of the ${11/2}^-$ quadrupole moments,
is investigated microscopically with the covariant density functional theory.
Using the newly developed functional PC-PK1, the quadrupole moments as well as
their linear increase tendency with the neutron number are excellently
reproduced without any {\it ad hoc} parameters. The core polarization is found
to be very important and contributes almost half of the quadrupole moments. The
simplicity of the linear increase is revealed to be due to the pairing
correlation which smears out the abrupt changes induced by the single-particle
shell structure.


title: Holonomies of gauge fields in twistor space 7: an electroweak model

abstract:
  We consider massive deformation of $U(2)$ gauge bosons in a recently
developed holonomy formalism and propose a novel electroweak model. The massive
gauge bosons arise from massive deformation of spinor momenta, which implies
that the mass generation is implemented by Lorentz symmetry breaking rather
than the spontaneous gauge symmetry breaking. Following the notation of the
holonomy formalism, we interpret the weak hypercharge of a left-handed fermion
doublet as the reciprocal of the Knizhnik-Zamolodchikov (KZ) parameter $\kappa
= k + h^{\vee}$ where $k$ is the level number, fixed at $k = 1$, and $h^\vee$
is the dual Coxeter number for $SU(2)_L$. This leads to natural distinction
between quarks and leptons in terms of a weight for the representation of
$SU(2)_L$. Physical operators of the electroweak vector bosons and fermions are
defined by use of Grassmann variables. Possible electroweak interactions are
then determined by the evaluation of Grassmann integrals. We obtain a
generating functional for the electroweak interaction vertices and illustrate
how to compute decay rates of the $Z$-boson into a pair of fermions.


title: Some hyperbolic three-manifolds that bound geometrically

abstract:
  A closed connected hyperbolic $n$-manifold bounds geometrically if it is
isometric to the geodesic boundary of a compact hyperbolic $(n+1)$-manifold. A.
Reid and D. Long have shown by arithmetic methods the existence of infinitely
many manifolds that bound geometrically in every dimension.
  We construct here infinitely many explicit examples in dimension $n=3$ using
right-angled dodecahedra and $120$-cells and a simple colouring technique
introduced by M. Davis and T. Januszkiewicz. Namely, for every $k\geqslant 1$,
we build an orientable compact closed $3$-manifold tessellated by $16k$
right-angled dodecahedra that bounds a $4$-manifold tessellated by $32k$
right-angled $120$-cells.
  A notable feature of this family is that the ratio between the volumes of the
$4$-manifolds and their boundary components is constant and, in particular,
bounded.


title:
Bayesian threshold selection for extremal models using measures of
  surprise

abstract:
  Statistical extreme value theory is concerned with the use of asymptotically
motivated models to describe the extreme values of a process. A number of
commonly used models are valid for observed data that exceed some high
threshold. However, in practice a suitable threshold is unknown and must be
determined for each analysis. While there are many threshold selection methods
for univariate extremes, there are relatively few that can be applied in the
multivariate setting. In addition, there are only a few Bayesian-based methods,
which are naturally attractive in the modelling of extremes due to data
scarcity. The use of Bayesian measures of surprise to determine suitable
thresholds for extreme value models is proposed. Such measures quantify the
level of support for the proposed extremal model and threshold, without the
need to specify any model alternatives. This approach is easily implemented for
both univariate and multivariate extremes.


title: Monotone homotopies and contracting discs on Riemannian surfaces

abstract:
  We prove a "gluing" theorem for monotone homotopies; a monotone homotopy is a
homotopy through simple contractible closed curves which themselves are
pairwise disjoint. We show that two monotone homotopies which have appropriate
overlap can be replaced by a single monotone homotopy. The ideas used to prove
this theorem are used in [CL2] to prove an analogous result for cycles, which
forms a critical step in their proof of the existence of minimal surfaces in
complete non-compact manifolds of finite volume.
  We also show that, if monotone homotopies exist, then fixed point
contractions through short curves exist. In particular, suppose that $\gamma$
is a simple closed curve of a Riemannian surface, and that there exists a
monotone contraction which covers a disc which $\gamma$ bounds consisting of
curves of length $\leq L$. If $\epsilon > 0$ and $q \in \gamma$, then there
exists a homotopy that contracts $\gamma$ to $q$ over loops that are based at
$q$ and have length bounded by $3L + 2d + \epsilon$, where $d$ is the diameter
of the surface. If the surface is a disc, and if $\gamma$ is the boundary of
this disc, then this bound can be improved to $L + 2d + \epsilon$.


title: Synchronization of Coupled Boolean Phase Oscillators

abstract:
  We design, characterize, and couple Boolean phase oscillators that include
state-dependent feedback delay. The state-dependent delay allows us to realize
an adjustable coupling strength, even though only Boolean signals are
exchanged. Specifically, increasing the coupling strength via the range of
state-dependent delay leads to larger locking ranges in uni- and bi-directional
coupling of oscillators in both experiment and numerical simulation with a
piecewise switching model. In the unidirectional coupling scheme, we unveil
asymmetric triangular-shaped locking regions (Arnold tongues) that appear at
multiples of the natural frequency of the oscillators. This extends
observations of a single locking region reported in previous studies. In the
bidirectional coupling scheme, we map out a symmetric locking region in the
parameter space of frequency detuning and coupling strength. Because of large
scalability of our setup, our observations constitute a first step towards
realizing large-scale networks of coupled oscillators to address fundamental
questions on the dynamical properties of networks in a new experimental
setting.


title: Modelling the broad Fe K\alpha\ reverberation in the AGN NGC 4151

abstract:
  The recent detection of X-ray reverberation lags, especially in the Fe
K\alpha\ line region, around Active Galactic Nuclei (AGN) has opened up the
possibility of studying the time-resolved response (reflection) of hard X-rays
from the accretion disk around supermassive black holes. Here, we use general
relativistic transfer functions for reflection of X-rays from a point source
located at some height above the black hole to study the time lags expected as
a function of frequency and energy in the Fe K\alpha\ line region. We explore
the models and the dependence of the lags on key parameters such as the height
of the X-ray source, accretion disk inclination, black hole spin and black hole
mass. We then compare these models with the observed frequency and energy
dependence of the Fe K\alpha\ line lag in NGC 4151. Assuming the optical
reverberation mapping mass of $4.6\times10^7~M_\odot$ we get a best fit to the
lag profile across the Fe K\alpha\ line in the frequency range
$(1-2)\times10^{-5}$ Hz for an X-ray source located at a height $h =
7^{+2.9}_{-2.6}~R_G$ with a maximally spinning black hole and an inclination $i
< 30^\circ$.


title:
The anomalous dimension at the infrared fixed point of Nf = 12 SU(3)
  theory

abstract:
  We propose a novel renormalization scheme for the hadronic operators. As an
example, we show the numerical simulation result for the anomalous dimension of
the pseudo scalar operator of the SU(3) gauge theory coupled to Nf = 12
fundamental fermions. The anomalous dimension of the pseudo scalar operator is
related with the mass renormalization factor of the fermion thought the
partially conserved axial-vector current (PCAC) relation. We derive the mass
anomalous dimension at the infrared fixed point (IRFP) of the theory, and find
that it is given by gamma_m^*= 0.044_{-0.024}^{+0.025} (stat.)_{-0}^{+0.057}
(syst.)_{-0.032}^{+0} (syst.), where the first systematic error comes from the
uncertainty of the continuum extrapolation while the second one comes from the
uncertainty of the value of the coupling constant at the IRFP.


title:
Physical properties in young radio sources. VLBA observations of high
  frequency peaking radio sources

abstract:
  Multifrequency Very Long Baseline Array (VLBA) observations were performed to
study the radio morphology and the synchrotron spectra of four high frequency
peaking radio sources. They are resolved in several compact components and the
radio emission is dominated by the hotspots/lobes. The core region is
unambiguously detected in J1335+5844 and J1735+5049. The spectra of the main
source components peak above 3 GHz. Assuming that the spectral peak is produced
by synchrotron self-absorption, we estimate the magnetic field directly from
observable quantities and in half of the components it agrees with the
equipartition field, while in the others the difference exceeds an order of
magnitude. By comparing the physical properties of the targets with those of
larger objects we found that the luminosity increases with the linear size for
sources smaller than a few kpc, while it decreases for larger objects. The
asymmetric sources J1335+5844 and J1735+5049 suggest that the ambient medium is
inhomogeneous and is able to influence the evolution of the radio emission even
during its first stages. The core luminosity increases with the linear size for
sources up to a few kpc, while it seems constant for larger sources suggesting
an evolution independent from the source total luminosity.


title: An on-chip coupled resonator optical waveguide single-photon buffer

abstract:
  Integrated quantum optical circuits are now seen as one of the most promising
approaches with which to realize single photon quantum information processing.
Many of the core elements for such circuits have been realized including
sources, gates and detectors. However, a significant missing function necessary
for photonic information processing on-chip is a buffer, where single photons
are stored for a short period of time to facilitate circuit synchronization.
Here we report an on-chip single photon buffer based on coupled resonator
optical waveguides (CROW) consisting of 400 high-Q photonic crystal line defect
nanocavities. By using the CROW, a pulsed single photon was successfully
buffered for 150 ps with 50-ps tunability while maintaining its non-classical
properties. Furthermore, we showed that our buffer preserves entanglement by
storing and retrieving one photon from a time-bin entangled state. This is a
significant step towards an all-optical integrated quantum information
processor.


title: Informed Source Separation: A Bayesian Tutorial

abstract:
  Source separation problems are ubiquitous in the physical sciences; any
situation where signals are superimposed calls for source separation to
estimate the original signals. In this tutorial I will discuss the Bayesian
approach to the source separation problem. This approach has a specific
advantage in that it requires the designer to explicitly describe the signal
model in addition to any other information or assumptions that go into the
problem description. This leads naturally to the idea of informed source
separation, where the algorithm design incorporates relevant information about
the specific problem. This approach promises to enable researchers to design
their own high-quality algorithms that are specifically tailored to the problem
at hand.


title:
Parabolic Complex Monge-Amp\`ere Type Equations on Closed Hermitian
  Manifolds

abstract:
  We study the parabolic complex Monge-Amp\`ere type equations on closed
Hermitian manfolds. We derive uniform $C^\infty$ {\em a priori} estimates for
normalized solutions, and then prove the $C^\infty$ convergence. The result
also yields a way to carry out method of continuity for elliptic Monge-Amp\'ere
type equations.


title: Optimal decoy intensity for decoy quantum key distribution

abstract:
  In the decoy quantum key distribution, we show that a smaller decoy intensity
gives a better key generation rate in the asymptotic setting when we employ
only one decoy intensity and the vacuum pulse. In particular, the counting rate
of single photon can be perfectly estimated when the decoy intensity is
infinitesimal. The same property holds even when the intensities cannot be
perfectly identified. Further, we propose a protocol to improve the key
generation rate over the existing protocol under the same decoy intensity.


title:
A finite volume approach for the simulation of nonlinear dissipative
  acoustic wave propagation

abstract:
  A form of the conservation equations for fluid dynamics is presented, deduced
using slightly less restrictive hypothesis than those necessary to obtain the
Westervelt equation. This formulation accounts for full wave diffraction,
nonlinearity, and thermoviscous dissipative effects. A two-dimensional finite
volume method using the Roe linearization was implemented to obtain numerically
the solution of the proposed equations. In order to validate the code, two
different tests have been performed: one against a special Taylor shock-like
analytic solution, the other against published results on a High Intensity
Focused Ultrasound (HIFU) system, both with satisfactory results. The code,
available under an open source license, is written for parallel execution on a
Graphics Processing Unit (GPU), thus improving performance by a factor of over
60 when compared to the standard serial execution finite volume code CLAWPACK
4.6.1, which has been used as reference for the implementation logic as well.


title: Universal attractor in a highly occupied non-Abelian plasma

abstract:
  We study the thermalization process in highly occupied non-Abelian plasmas at
weak coupling. The non-equilibrium dynamics of such systems is classical in
nature and can be simulated with real-time lattice gauge theory techniques. We
provide a detailed discussion of this framework and elaborate on the results
reported in~\cite{Berges:2013eia} along with novel findings. We demonstrate the
emergence of universal attractor solutions, which govern the non-equilibrium
evolution on large time scales both for non-expanding and expanding non-Abelian
plasmas. The turbulent attractor for a non-expanding plasma drives the system
close to thermal equilibrium on a time scale $t\sim Q^{-1} \alpha_s^{-7/4}$.
The attractor solution for an expanding non-Abelian plasma leads to a strongly
interacting albeit highly anisotropic system at the transition to the
low-occupancy or quantum regime. This evolution in the classical regime is,
within the uncertainties of our simulations, consistent with the ``bottom up''
thermalization scenario~\cite{Baier:2000sb}. While the focus of this paper is
to understand the non-equilibrium dynamics in weak coupling asymptotics, we
also discuss the relevance of our results for larger couplings in the early
time dynamics of heavy ion collision experiments.


title:
Tunneling of conduction band electrons driven by a laser field in a
  double quantum dot: An open systems approach

abstract:
  In this paper, we investigate tunneling of conduction band electrons in a
system of an asymmetric double quantum dot which interacts with an environment.
First, we consider the case in which the system only interacts with the
environment and demonstrate that as time goes to infinity they both reach an
equilibrium, which is expected, and there is always a maximum and minimum for
the populations of the states of the system. Then we investigate the case in
which an external resonant optical pulse (a laser) is applied to the system
interacting with the environment. However, in this case for different
intensities we have different populations of the states in equilibrium and as
the intensity of the laser gets stronger, the populations of the states in
equilibrium approach the same constant.


title: Purely imaginary polar resonances of rapidly-rotating Kerr black holes

abstract:
  We prove the existence of a unique family of non-oscillatory
(purely-imaginary) polar quasinormal resonances of rapidly-rotating Kerr black
holes. These purely imaginary resonances can be expressed in the compact form:
w_n=-i2*pi*T_{BH}*(l+1+n), where T_{BH} is the black-hole temperature, l is the
spheroidal harmonic index of the mode, and n=0,1,2,... is the resonance
parameter. It is shown that our analytical results for the black-hole resonance
spectrum agree with new numerical data that recently appeared in the
literature.


title: Hyperbolic semi-adequate links

abstract:
  We provide a diagrammatic criterion for semi-adequate links to be hyperbolic.
We also give a conjectural description of the satellite structures of
semi-adequate links. One application of our result is that the closures of
sufficiently complicated positive braids are hyperbolic links.


title: A Construction of New Quantum MDS Codes

abstract:
  It has been a great challenge to construct new quantum MDS codes. In
particular, it is very hard to construct quantum MDS codes with relatively
large minimum distance. So far, except for some sparse lengths, all known
$q$-ary quantum MDS codes have minimum distance less than or equal to $q/2+1$.
In the present paper, we provide a construction of quantum MDS codes with
minimum distance bigger than $q/2+1$. In particular, we show existence of
$q$-ary quantum MDS codes with length $n=q^2+1$ and minimum distance $d$ for
any $d\le q-1$ and $d= q+1$(this result extends those given in
\cite{Gu11,Jin1,KZ12}); and with length $(q^2+2)/3$ and minimum distance $d$
for any $d\le (2q+2)/3$ if $3|(q+1)$. Our method is through Hermitian
self-orthogonal codes. The main idea of constructing Hermitian self-orthogonal
codes is based on the solvability in $\F_q$ of a system of homogenous equations
over $\F_{q^2}$.


title:
Galactic star formation enhanced and quenched by ram pressure in groups
  and clusters

abstract:
  We investigate how ram pressure of intragroup and intracluster medium can
influence the spatial and temporal variations of star formation (SF) of disk
galaxies with halo masses (M_h) ranging from 10^10 M_sun to 10^12 M_sun (i.e.,
from dwarf irregular to Milky Way-type) in groups and clusters with 10^13 <
M_h/M_sun < 10^15 by using numerical simulations with a new model for
time-varying ram pressure. The long-term evolution of SF rates and H_alpha
morphologies corresponding to the distributions of star-forming regions are
particularly investigated for different model parameters. The principal results
are as follows. Whether ram pressure can enhance or reduce SF depends on M_h of
disk galaxies and inclination angles of gas disks with respect to their orbital
directions for a given orbit and a given environment. For example, SF can be
moderately enhanced in disk galaxies with M_h=10^12 M_sun at the pericenter
passages in a cluster with M_h=10^14 M_sun whereas it can be completely shut
down (`quenching') for low-mass disks with M_h=10^10 M_sun. Ram pressure can
reduce the H_alpha-to-optical-disk-size ratios of disks and the revel of the
reduction depends on M_h and orbits of disk galaxies for a given environment.
Disk galaxies under strong ram pressure show characteristic H_alpha
morphologies such as ring-like, one-sided, and crescent-like distributions.


title: Cornell SPF: Cornell Semantic Parsing Framework

abstract:
  The Cornell Semantic Parsing Framework (SPF) is a learning and inference
framework for mapping natural language to formal representation of its meaning.


title: A Double-Threshold Technique for Fast Time-Correspondence Imaging

abstract:
  We present a robust imaging method based on time-correspondence imaging and
normalized ghost imaging (GI) that sets two thresholds to select the reference
frame exposures for image reconstruction. This double-threshold
time-correspondence imaging protocol always gives better quality and
signal-to-noise ratio than previous GI schemes, and is insensitive to
surrounding noise. Moreover, only simple add and minus operations are required
while less data storage space and computing time are consumed, thus faster
imaging speeds are attainable. The protocol offers a general approach
applicable to all GI techniques, and marks a further step forward towards
real-time practical applications of correlation imaging.


title: Fast-collapsing theories

abstract:
  Reinhardt's conjecture, a formalization of the statement that a truthful
knowing machine can know its own truthfulness and mechanicalness, was proved by
Carlson using sophisticated structural results about the ordinals and
transfinite induction just beyond the first epsilon number. We prove a weaker
version of the conjecture, by elementary methods and transfinite induction up
to a smaller ordinal.


title:
Monk's Rule and Giambelli's Formula for Peterson Varieties of All Lie
  Types

abstract:
  A Peterson variety is a subvariety of the flag variety $G/B$ which appears in
the construction of the quantum cohomology of partial flag varieties. Each
Peterson variety has a one-dimensional torus $S^1$ acting on it. We give a
basis of Peterson Schubert classes for $H_{S^1}^*(Pet)$ and identify the ring
generators. In type $A$ Harada-Tymoczko gave a positive Monk formula, and
Bayegan-Harada gave Giambelli's formula for multiplication in the cohomology
ring. This paper gives Monk's rule and Giambelli's formula for all Lie types.


title:
Hysteretic melting transition of a soliton lattice in a commensurate
  charge modulation

abstract:
  We report on the observation of the hysteretic transition of a commensurate
charge modulation in IrTe$_2$ from transport and scanning tunneling microscopy
(STM) studies. Below the transition ($T_{\rm C} \approx 275$ K on cooling) a $q
= 1/5$ charge modulation was observed, which is consistent with previous
studies. Additional modulations [$q_n = (3n+2)^{-1}$] appear below a second
transition at $T_{\rm S}\approx 180$ K on cooling. The coexistence of various
modulations persist up to $T_{\rm C}$ on warming. The atomic structures of
charge modulations and the temperature dependent STM studies suggest that 1/5
modulation is a periodic soliton lattice which partially melts below $T_{\rm
S}$ on cooling. Our results provide compelling evidence that the ground state
of IrTe$_2$ is a commensurate 1/6 charge modulation, which originates from
periodic dimerization of Te atoms visualized by atomically resolved STM images.


title:
Variational formulas and cocycle solutions for directed polymer and
  percolation models

abstract:
  We discuss variational formulas for the limits of certain models of motion in
a random medium: namely, the limiting time constant for last-passage
percolation and the limiting free energy for directed polymers. The results are
valid for models in arbitrary dimension, steps of the admissible paths can be
general, the environment process is ergodic under shifts, and the potential
accumulated along a path can depend on the environment and the next step of the
path. The variational formulas come in two types: one minimizes over
gradient-like cocycles, and another one maximizes over invariant measures on
the space of environments and paths. Minimizing cocycles can be obtained from
Busemann functions when these can be proved to exist. The results are
illustrated through 1+1 dimensional exactly solvable examples, periodic
examples, and polymers in weak disorder.


title: A showing of entangling and discording power for cooper-pair gate

abstract:
  We present entangling and discording power of a gate that is made on strong
contender for the basic element of a quantum computer. We present the effect
gate on an experimental scheme of a two-qubit tomography. We propose a
sufficient and implementable condition for the existence of nonzero quantum
discord and entanglement in the considered experimental scheme.


title: Optimal protocols and the Jarzynski equality

abstract:
  The Jarzynski Equality is a well-known and widely used identity, relating the
free energy difference between two states of a system to the work done over
some arbitrary, nonequilibrium transformation between the two states. Despite
being valid for both stochastic and deterministic systems, we show that the
optimal transformation protocol for the deterministic case seems to differ from
that predicated from an analysis of the stochastic dynamics. In addition, it is
shown that for certain situations, more dissipative processes can sometimes
lead to better numerical results for the free energy differences.


title:
An Excursion-Theoretic Approach to Regulator's Bank Reorganization
  Problem

abstract:
  The importance of the global financial system cannot be exaggerated. When a
large financial institution becomes problematic and is bailed out, that bank is
often claimed as "too big to fail". On the other hand, to prevent bank's
failure, regulatory authorities adopt the Prompt Corrective Action (PCA)
against a bank that violates certain criteria, often measured by its leverage
ratio. In this article, we provide a framework where one can analyze the cost
and effect of PCA's. We model a large bank with deteriorating asset and
regulatory actions attempting to prevent a failure. The model uses the
excursion theory of Levy processes and finds an optimal leverage ratio that
triggers a PCA. A nice feature includes it incorporates the fact that social
cost associated with PCA's are be greatly affected by the size of banks subject
to PCA's, so that one can see the cost of rescuing a bank "too big to fail".


title: Decoding the hologram: Scalar fields interacting with gravity

abstract:
  We construct smeared CFT operators which represent a scalar field in AdS
interacting with gravity. The guiding principle is micro-causality: scalar
fields should commute with themselves at spacelike separation. To O(1/N) we
show that a correct and convenient criterion for constructing the appropriate
CFT operators is to demand micro-causality in a three-point function with a
boundary Weyl tensor and another boundary scalar. The resulting bulk
observables transform in the correct way under AdS isometries and commute with
boundary scalar operators at spacelike separation, even in the presence of
metric perturbations.


title: Revisiting the proposed circumbinary multi-planet system NSVS14256825

abstract:
  In this work we carry out an analysis of the observed times of primary and
secondary eclipses of the post-common envelope binary NSVS14256825. Recently,
\cite{Almeida2013} proposed that two circumbinary companions orbit this
short-period eclipsing binary, in order to explain observed variations in the
timing of mutual eclipses between the two binary components. Using a standard
weighted least-squares minimisation technique, we have extensively explored the
topology of $\chi^2$ parameter space of a single planet model. We find the data
set to be insufficient to reliably constrain a one-companion model. Various
models, each with similar statistical significance, result in substantially
different orbital architectures for the additional companion. No evidence is
seen for a second companion of planetary nature. We suspect insufficient
coverage (baseline) of timing data causing the best-fit parameters to be
unconstrained.


title:
Homotopy classes of harmonic maps of the stratified 2-spheres and
  applications to geometric flows

abstract:
  We show that the set of harmonic maps from the 2-dimensional stratified
spheres with uniformly bounded energies contains only finitely many homotopy
classes. We apply this result to construct infinitely many harmonic map flows
and mean curvature flows of 2-sphere in the connected sum of two closed
3-dimensional manifolds $M_1\not=S^3$ and $M_2\not=S^3,\R\P^3$, which must
develop finite time singularity.


title:
Asynchronous Distributed Downlink Beamforming and Power Control in
  Multi-cell Networks

abstract:
  In this paper, we consider a multi-cell network where every base station (BS)
serves multiple users with an antenna array. Each user is associated with only
one BS and has a single antenna. Assume that only long-term channel state
information (CSI) is available in the system. The objective is to minimize the
network downlink transmission power needed to meet the users'
signal-to-interference-plus-noise ratio (SINR) requirements. For this
objective, we propose an asynchronous distributed beamforming and power control
algorithm which provides the same optimal solution as given by centralized
algorithms. To design the algorithm, the power minimization problem is
formulated mathematically as a non-convex problem. For distributed
implementation, the non-convex problem is cast into the dual decomposition
framework. Resorting to the theory about matrix pencil, a novel asynchronous
iterative method is proposed for solving the dual of the non-convex problem.
The methods for beamforming and power control are obtained by investigating the
primal problem. At last, simulation results are provided to demonstrate the
convergence and performance of the algorithm.


title: A Study on Ricci Dark Energy in Bulk-Brane Interaction

abstract:
  In this work we have investigated the effects of the interaction between a
brane universe and the bulk in which it is embedded. Considering the effects of
the interaction between a brane universe and the bulk we have obtained the
equation of state for the interacting holographic Ricci dark energy density
$\rho_{\Lambda}=3c^2 (\dot{H}+2 H^2)$ in the flat universe. We have
investigated the impact of $c^2$ on the equation of state $\omega_{\Lambda}$.
Also, considering the power law for of the scale factor, we have observed that
non-trivial contributions of dark energy which differ from the standard matter
fields confined to the brane is increasing with the evolution of the universe.


title:
X-ray observations of eight young open star clusters : I. Membership and
  X-ray Luminosity

abstract:
  We present a detailed investigation of X-ray source contents of eight young
open clusters with ages between 4 to 46 Myr using archival X-ray data from
XMM-Newton. The probable cluster memberships of the X-ray sources have been
established on the basis of multi-wavelength archival data, and samples of 152
pre-main sequence (PMS) low mass (< 2 M_\odot), 36 intermediate mass (2 - 10
M_\odot) and 16 massive (> 10 M_\odot) stars have been generated. X-ray
spectral analyses of high mass stars reveal the presence of high temperature
plasma with temperature <2 keV, and mean L_X/L_{bol} of 10^{-6.9}. In the case
of PMS low mass stars, the plasma temperatures have been found to be in the
range of 0.2 keV to 3 keV with a median value of ~1.3 keV, with no significant
difference in plasma temperatures during their evolution from 4 to 46 Myr. The
X-ray luminosity distributions of the PMS low mass stars have been found to be
similar in the young star clusters under study. This may suggest a nearly
uniform X-ray activity in the PMS low mass stars of ages ~4--14 Myr. These
observed values of L_X/L_{bol} are found to have a mean value of
10^{-3.6\pm0.4}, which is below the X-ray saturation level.The L_X/L_{bol}
values for the PMS low mass stars are well correlated with their bolometric
luminosities, that implies its dependence on the internal structure of the low
mass stars. The difference between the X-ray luminosity distributions of the
intermediate mass stars and the PMS low mass stars has not been found to be
statistically significant. Their L_X/L_{bol} values, however have been found to
be significantly different from each other with a confidence level greater than
99.999%. The possibility of X-ray emission from the intermediate mass stars due
to a low mass star in close proximity of the intermediate mass star can not be
ruled out due to the limited spatial resolution of XMM-Newton.


title:
Incrementally Introducing Process Model Rationale Support in an
  Organization

abstract:
  Popular process models such as the Rational Unified Process or the V-Modell
XT are by nature large and complex. Each time that a new release is published
software development organizations are confronted with the big challenge of
understanding the rationale behind the new release and the extent to which it
affects them. Usually, there is no information about what has changed or most
importantly why. This is because of the lack of a flexible approach that
supports organizations responsible for evolving such large process models in
documenting their decisions and that reflects the extent of the capabilities to
which they can provide this information. This paper describes an approach to
incrementally deploying rationale support as needed to match an organisation's
needs, the capabilities and interests of the organisation's process engineering
teams, and the organisation's willingness to support the effort required for
the collection and application of the rationale information.


title: Yetter-Drinfeld modules over weak multiplier bialgebras

abstract:
  We continue the study of the representation theory of a regular weak
multiplier bialgebra with full comultiplication, started in arXiv:1306.1466,
arXiv:1311.2730. Yetter-Drinfeld modules are defined as modules and comodules,
with compatibility conditions that are equivalent to a canonical object being
(weakly) central in the category of modules, and equivalent also to another
canonical object being (weakly) central in the category of comodules.
Yetter-Drinfeld modules are shown to constitute a monoidal category via the
(co)module tensor product over the base (co)algebra. Finite dimensional
Yetter-Drinfeld modules over a regular weak multiplier Hopf algebra with full
comultiplication are shown to possess duals in this monoidal category.


title:
The Chern character of the Verlinde bundle over the moduli space of
  stable curves

abstract:
  We prove an explicit formula for the total Chern character of the Verlinde
bundle over the moduli space of pointed stable curves in terms of tautological
classes. The Chern characters of the Verlinde bundles define a semisimple CohFT
(the ranks, given by the Verlinde formula, determine a semisimple fusion
algebra). According to Teleman's classification of semisimple CohFTs, there
exists an element of Givental's group transforming the fusion algebra into the
CohFT. We determine the element using the first Chern class of the Verlinde
bundle on the moduli space of nonsingular curves and the projective flatness of
the Hitchin connection.


title: Confinement From The Gauge Invariant Abelian Decomposition

abstract:
  A common approach while considering confinement is to study the dominance of
an Abelian subgroup of the SU(3) gauge Links. A good way to find the Abelian
component of the field is through the Cho-Guan-De gauge invariant Abelian
Decomposition, which uses a carefully chosen direction vector $n$ to split the
gauge field into an Abelian restricted field and a remnant coloured field. The
restricted field can be further subdivided into topological and non-topological
terms. We show that there is a choice of $n$ which allows us to exactly
represent the Wilson Loop of full QCD as a function of only the restricted
Abelian field without requiring any path ordering or additional path integrals.
We present numerical evidence showing that the topological part of the
restricted field dominates the string tension. We also show that $n$ contains
certain topological objects, which, if they exist, will be at least partially
responsible for confinement. These leave distinctive patterns in the restricted
field strength, and we search for these structures in quenched lattice QCD.


title:
Study of some characteristics of protons using interactions of light
  nuclei

abstract:
  Behavior of some average characteristics of protons are studied in protons
and deuterons induced interactions with carbon nuclei at 4.2 A GeV/c. The
emitted particles are divided in two groups depending on their polar angle in
the lab. frame using half angle technique. Results of the experimental data are
compared with Dubna version of cascade model. Analysis of the results show that
the incone protons are leading particles.


title: Swarm optimization for adaptive phase measurements with low visibility

abstract:
  Adaptive feedback normally provides the greatest accuracy for optical phase
measurements. New advances in nitrogen vacancy centre technology have enabled
magnetometry via individual spin measurements, which are similar to optical
phase measurements but with low visibility. The adaptive measurements that
previously worked well with high-visibility optical interferometry break down
and give poor results for nitrogen vacancy centre measurements. We use advanced
search techniques based on swarm optimisation to design better adaptive
measurements that can provide improved measurement accuracy with low-visibility
interferometry, with applications in nitrogen vacancy centre magnetometry.


title: A new route to spin-orbit torque engineering via oxygen manipulation

abstract:
  Spin transfer torques allow for electrical manipulation of magnetization at
room temperature, which is utilized to build future electronic devices such as
spin transfer torque memories. Recent experiments have discovered that the
combination of the spin transfer torque with the spin Hall effect enables more
efficient manipulation. A versatile control mechanism of such spin-orbit
torques is beneficial to envision device applications with competitive
advantages over the existing schemes. Here we report that the oxidation
manipulation of spin-orbit torque devices triggers a new mechanism, and the
resulting torques are estimated to be about two times stronger than that of the
spin Hall effect. Our result introduces an entirely new way to engineer the
spin-orbit torques for device operation via oxygen manipulation. Combined with
electrical gating for the control of the oxygen content, our finding may also
pave the way for towards reconfigurable logic devices.


title: Spin-orbit torques in Co/Pd multilayer nanowires

abstract:
  Current induced spin-orbit torques have been studied in ferromagnetic
nanowires made of 20 nm thick Co/Pd multilayers with perpendicular magnetic
anisotropy. Using Hall voltage and lock-in measurements, it is found that upon
injection of an electric current both in-plane (Slonczewski-like) and
perpendicular (field-like) torques build up in the nanowire. The torque
efficiencies are found to be as large as 1.17 kOe and 5 kOe at 108 A/cm2 for
the in-plane and perpendicular components, respectively, which is surprisingly
comparable to previous studies in ultrathin (~ 1 nm) magnetic bilayers. We show
that this result cannot be explained solely by spin Hall effect induced torque
at the outer interfaces, indicating a probable contribution of the bulk of the
Co/Pd multilayer.


title:
Contribution of Information and Communication Technology (ICT) in
  Country'S H-Index

abstract:
  The aim of this study is to examine the effect of Information and
Communication Technology (ICT) development on country's scientific ranking as
measured by H-index. Moreover, this study applies ICT development sub-indices
including ICT Use, ICT Access and ICT skill to find the distinct effect of
these sub-indices on country's H-index. To this purpose, required data for the
panel of 14 Middle East countries over the period 1995 to 2009 is collected.
Findings of the current study show that ICT development increases the H-index
of the sample countries. The results also indicate that ICT Use and ICT Skill
sub-indices positively contribute to higher H-index but the effect of ICT
access on country's H-index is not clear.


title:
Redox chemistry and metal-insulator transitions intertwined in a
  nano-porous material

abstract:
  Metal organic frameworks are nano porous adsorbents of relevance to gas
separation and catalysis, and O2 separation from air is essential to diverse
industrial applications. A metal organic framework Fe2(DOBDC), also known as a
MOF74, can selectively adsorb O2 in a manner that defies the classical picture:
Adsorption sites either do or do not share electrons over a long range. This
report proposes, and then justifies phenomenologically and computationally, a
mechanism. Charge transfer mediated adsorption of an electron acceptor O2 in a
quasi one dimensional (1D) electron donor semiconductor Fe2(DOBDC) drives and
is driven by 1D metal insulator transitions that localize or delocalize the 1D
electrons. This mechanism agrees with the empirical evidence, and predicts a
class of nano porous semiconductors or metals and potential adsorbents and
catalysts in which chemistry and metal insulator transitions intertwine.


title: Lateral Optical Force On Chiral Particles Near a Surface

abstract:
  Light can exert radiation pressure on any object it encounters and that
resulting optical force can be used to manipulate particles. It is commonly
assumed that light should move a particle forward and indeed an incident plane
wave with a photon momentum hk can only push any particle, independent of its
properties, in the direction of k. Here we demonstrate using full-wave
simulations that an anomalous lateral force can be induced in a direction
perpendicular to that of the incident photon momentum if a chiral particle is
placed above a substrate that does not break any left-right symmetry.
Analytical theory shows that the lateral force emerges from the coupling
between structural chirality (the handedness of the chiral particle) and the
light reflected from the substrate surface. Such coupling induces a sideway
force that pushes chiral particles with opposite handedness in opposite
directions.


title:
Practical Characterization of Large Networks Using Neighborhood
  Information

abstract:
  Characterizing large online social networks (OSNs) through node querying is a
challenging task. OSNs often impose severe constraints on the query rate, hence
limiting the sample size to a small fraction of the total network. Various
ad-hoc subgraph sampling methods have been proposed, but many of them give
biased estimates and no theoretical basis on the accuracy. In this work, we
focus on developing sampling methods for OSNs where querying a node also
reveals partial structural information about its neighbors. Our methods are
optimized for NoSQL graph databases (if the database can be accessed directly),
or utilize Web API available on most major OSNs for graph sampling. We show
that our sampling method has provable convergence guarantees on being an
unbiased estimator, and it is more accurate than current state-of-the-art
methods. We characterize metrics such as node label density estimation and edge
label density estimation, two of the most fundamental network characteristics
from which other network characteristics can be derived. We evaluate our
methods on-the-fly over several live networks using their native APIs. Our
simulation studies over a variety of offline datasets show that by including
neighborhood information, our method drastically (4-fold) reduces the number of
samples required to achieve the same estimation accuracy of state-of-the-art
methods.


title:
The relationship between radio power at 22 and 43 GHz and black hole
  properties of AGN in elliptical galaxies

abstract:
  We investigate the relationship between radio power and properties related to
active galactic nuclei (AGNs). Radio power at 1.4 or 5 GHz, which has been used
in many studies, can be affected by synchrotron self-absorption and free-free
absorption in a dense region. On the other hand, these absorption effects get
smaller at higher frequencies. Thus, we performed simultaneous observations at
22 and 43 GHz using the Korean VLBI Network (KVN) radio telescope based on a
sample of 305 AGN candidates residing in elliptical galaxies from the overlap
between the Sloan Digital Sky Survey (SDSS) Data Release 7 and Faint Images of
the Radio Sky at Twenty-Centimeters (FIRST). About 37% and 22% of the galaxies
are detected at 22 and 43 GHz, respectively. Assuming no flux variability
between the FIRST and KVN observation, spectral indices were derived from FIRST
and KVN data and we found that over 70% of the detected galaxies have flat or
inverted spectra, implying the presence of optically thick compact regions near
the centres of the galaxies. Core radio power does not show a clear dependence
on black hole mass at either low (1.4 GHz) or high (22 and 43 GHz) frequencies.
However, we found that the luminosity of the [OIII] $\lambda$5007 emission line
and the Eddington ratio correlate with radio power more closely at high
frequencies than at low frequencies. This suggests that radio observation at
high frequencies can be an appropriate tool for unveiling the innermost region.
In addition, the luminosity of the [OIII] $\lambda$5007 emission line and the
Eddington ratio can be used as a tracer of AGN activity. Our study suggests a
causal connection between high frequency radio power and optical properties of
AGNs.


title: On the radius of habitable planets

abstract:
  The conditions that a planet must fulfill to be habitable are not precisely
known. However, it is comparatively easier to define conditions under which a
planet is very likely not habitable. Finding such conditions is important as it
can help select, in an ensemble of potentially observable planets, which ones
should be observed in greater detail for characterization studies. Assuming, as
in the Earth, that the presence of a C-cycle is a necessary condition for
long-term habitability, we derive, as a function of the planetary mass, a
radius above which a planet is likely not habitable. We compute the maximum
radius a planet can have to fulfill two constraints: surface conditions
compatible with the existence of liquid water, and no ice layer at the bottom
of a putative global ocean. We demonstrate that, above a given radius, these
two constraints cannot be met. We compute internal structure models of planets,
using a five-layer model (core, inner mantle, outer mantle, ocean, and
atmosphere), for different masses and composition of the planets (in
particular, the Fe/Si ratio of the planet). Our results show that for planets
in the Super-Earth mass range (1-12 Mearth), the maximum that a planet, with a
composition similar to that of the Earth, can have varies between 1.7 and 2.2
Rearth. This radius is reduced when considering planets with higher Fe/Si
ratios and taking radiation into account when computing the gas envelope
structure. These results can be used to infer, from radius and mass
determinations using high-precision transit observations like those that will
soon be performed by the CHaracterizing ExOPlanet Satellite (CHEOPS), which
planets are very likely not habitable, and therefore which ones should be
considered as best targets for further habitability studies.}


title: BSM Theories Face Higgs Coupling data

abstract:
  We discuss how much Higgs couplings (including the Higgs self coupling) can
deviate from their Standard Model values, in different Beyond Standard Model
(BSM) theories, if no other BSM states are accessible at the LHC. Then, we
focus on supersymmetric theories and show that there is a connection between
the mechanism to raise the Higgs mass and the pattern of Higgs coupling
deviations.


title:
Quantum criticality in an asymmetric three-leg spin tube: A strong
  rung-coupling perspective

abstract:
  We study quantum phase transitions in the asymmetric variation of the
three-leg Heisenberg tube for half-odd-integer spin, with a modulation of one
of the rung exchange couplings $J'_\perp$ while the other two are kept constant
$J_\perp$. We focus on the strong rung-coupling regime $J_\perp \gg
J_\parallel$, where $J_\parallel$ is the leg coupling, and analyze the
effective spin-orbital model with a transverse crystal field in detail.
Applying the Abelian bosonization to the effective model, we find that the
system is in the dimer phase for the general half-odd-integer-spin cases
without the rung modulation; the phase transition between the dimer and
Tomonaga-Luttinger-liquid phases induced by the rung modulation is of the
SU(2)-symmetric Berezinskii-Kosterlitz-Thouless type. Moreover, we perform a
level spectroscopy analysis for the effective model for spin-1/2 using exact
diagonalization, to determine the precise transition point $| J'_\perp -
J_\perp| /J_\parallel \sim 0.283$ in the strong rung-coupling limit. The
presence of the dimer phase in a small but finite region is also confirmed by a
density-matrix renormalization group calculation on the original spin-tube
model.


title: 0+ states and collective bands in 228Th studied by the (p,t) reaction

abstract:
  The excitation spectra in the deformed nucleus 228Th have been studied by
means of the (p,t)-reaction, using the Q3D spectrograph facility at the Munich
Tandem accelerator. The angular distributions of tritons were measured for
about 110 excitations seen in the triton spectra up to 2.5 MeV. Firm 0+
assignments are made for 17 excited states by comparison of experimental
angular distributions with the calculated ones using the CHUCK3 code.
Assignments up to spin 6+ are made for other states. Sequences of states are
selected which can be treated as rotational bands and as multiplets of
excitations. Moments of inertia have been derived from these sequences, whose
values may be considered as evidence of the two-phonon nature of most 0+
excitations. Experimental data are compared with interacting boson model and
quasiparticle-phonon model calculations and with experimental data for 229Pa.


title: Renormalization and quantum modular forms, part I: Maass wave forms

abstract:
  Sander Zwegers showed that Ramanujan's mock theta functions are
$q$-hypergeometric series, whose $q$-expansion coefficients are half of the
Fourier coefficients of a non-holomorphic modular form. George Andrews, Henri
Cohen, Freeman Dyson, and Dean Hickerson found a pair of $q$-hypergeometric
series each of which contains half of the Fourier coefficients of Maass
waveform of eigenvalue $1/4$.
  This series of papers shows that a $q$-series construction, called
``renormalization'', yields the other half of the Fourier coefficients from a
series which contains half of them. This construction unifies examples
associated with mock theta functions and examples associated with Maass
waveforms. Thus confirming a conviction of Freeman Dyson. This construction is
natural in the context of Don Zagier's quantum modular forms. Detailed
discussion of the role quantum modular forms play in this construction is
given.
  New examples associated to Maass waveforms are given in Part I. Part II
contains new examples associated with mock theta functions, and classical
modular forms. Part II contains an extensive survey of the ``renormalization''
construction. A large number of examples and open questions which share
similarities to the main examples, but remain mysterious, are given.


title: Renormalization and quantum modular forms, part II: Mock theta functions


title:
Joint Power and Admission Control: Non-Convex $L_q$ Approximation and An
  Effective Polynomial Time Deflation Approach

abstract:
  In an interference limited network, joint power and admission control (JPAC)
aims at supporting a maximum number of links at their specified signal to
interference plus noise ratio (SINR) targets while using a minimum total
transmission power. Various convex approximation deflation approaches have been
developed for the JPAC problem. In this paper, we propose an effective
polynomial time non-convex approximation deflation approach for solving the
problem. The approach is based on the non-convex $\ell_q$-minimization
approximation of an equivalent sparse $\ell_0$-minimization reformulation of
the JPAC problem where $q\in(0,1).$ We show that, for any instance of the JPAC
problem, there exists a $\bar q\in(0,1)$ such that it can be exactly solved by
solving its $\ell_q$-minimization approximation problem with any $q\in(0, \bar
q]$. We also show that finding the global solution of the $\ell_q$
approximation problem is NP-hard. Then, we propose a potential reduction
interior-point algorithm, which can return an $\epsilon$-KKT solution of the
NP-hard $\ell_q$-minimization approximation problem in polynomial time. The
returned solution can be used to check the simultaneous supportability of all
links in the network and to guide an iterative link removal procedure,
resulting in the polynomial time non-convex approximation deflation approach
for the JPAC problem. Numerical simulations show that the proposed approach
outperforms the existing convex approximation approaches in terms of the number
of supported links and the total transmission power, particularly exhibiting a
quite good performance in selecting which subset of links to support.


title:
Jordan-Wigner formalism for arbitrary 2-input 2-output matchgates and
  their classical simulation

abstract:
  In Valiant's matchgate theory, 2-input 2-output matchgates are 4x4 matrices
that satisfy ten so-called matchgate identities. We prove that the set of all
such matchgates (including non-unitary and non-invertible ones) coincides with
the topological closure of the set of all matrices obtained as exponentials of
linear combinations of the 2-qubit Jordan-Wigner (JW) operators and their
quadratic products, extending a previous result of Knill. In Valiant's theory,
outputs of matchgate circuits can be classically computed in poly-time. Via the
JW formalism, Terhal & DiVincenzo and Knill established a relation of a unitary
class of these circuits to the efficient simulation of non-interacting
fermions. We describe how the JW formalism may be used to give an efficient
simulation for all cases in Valiant's simulation theorem, which in particular
includes the case of non-interacting fermions generalised to allow arbitrary
1-qubit gates on the first line at any stage in the circuit. Finally we give an
exposition of how these simulation results can be alternatively understood from
some basic Lie algebra theory, in terms of a formalism introduced by Somma et
al.


title: From solar-like to anti-solar differential rotation in cool stars

abstract:
  Stellar differential rotation can be separated into two main regimes:
solar-like when the equator rotates faster than the poles and anti-solar when
the polar regions rotate faster than the equator. We investigate the transition
between these two regimes with 3-D numerical simulations of rotating spherical
shells. We conduct a systematic parameter study which also includes models from
different research groups. We find that the direction of the differential
rotation is governed by the contribution of the Coriolis force in the force
balance, independently of the model setup (presence of a magnetic field,
thickness of the convective layer, density stratification). Rapidly-rotating
cases with a small Rossby number yield solar-like differential rotation, while
weakly-rotating models sustain anti-solar differential rotation. Close to the
transition, the two kinds of differential rotation are two possible bistable
states. This study provides theoretical support for the existence of anti-solar
differential rotation in cool stars with large Rossby numbers.


title:
Cops, Robbers, and Threatening Skeletons: Padded Decomposition for
  Minor-Free Graphs

abstract:
  We prove that any graph excluding $K_r$ as a minor has can be partitioned
into clusters of diameter at most $\Delta$ while removing at most $O(r/\Delta)$
fraction of the edges. This improves over the results of Fakcharoenphol and
Talwar, who building on the work of Klein, Plotkin and Rao gave a partitioning
that required to remove $O(r^2/\Delta)$ fraction of the edges.
  Our result is obtained by a new approach to relate the topological properties
(excluding a minor) of a graph to its geometric properties (the induced
shortest path metric). Specifically, we show that techniques used by Andreae in
his investigation of the cops-and-robbers game on excluded-minor graphs can be
used to construct padded decompositions of the metrics induced by such graphs.
In particular, we get probabilistic partitions with padding parameter $O(r)$
and strong-diameter partitions with padding parameter $O(r^2)$ for $K_r$-free
graphs, padding $O(k)$ for graphs with treewidth $k$, and padding $O(\log g)$
for graphs with genus $g$.


title: The extremal problems on the inertia of weighted bicyclic graphs

abstract:
  Let $G_w$ be a weighted graph. The number of the positive, negative and zero
eigenvalues in the spectrum of $G_w$ are called positive inertia index,
negative inertia index and nullity of $G_w$, and denoted by $i_{+}(G_w)$,
$i_{-}(G_w)$, $i_{0}(G_w)$, respectively. In this paper, sharp lower bound on
the positive (resp. negative) inertia index of weighted bicyclic graphs of
order $n$ with pendant vertices is obtained. Moreover, all the weighted
bicyclic graphs of order $n$ with at most two positive, two negative and at
least $n-4$ zero eigenvalues are identified, respectively.