title:
Generating massive complex networks with hyperbolic geometry faster in
  practice

abstract:
  Generative network models play an important role in algorithm development,
scaling studies, network analysis, and realistic system benchmarks for graph
data sets. The commonly used graph-based benchmark model R-MAT has some
drawbacks concerning realism and the scaling behavior of network properties. A
complex network model gaining considerable popularity builds random hyperbolic
graphs, generated by distributing points within a disk in the hyperbolic plane
and then adding edges between points whose hyperbolic distance is below a
threshold.
  We present in this paper a fast generation algorithm for such graphs. Our
experiments show that our new generator achieves speedup factors of 3-60 over
the best previous implementation. One billion edges can now be generated in
under one minute on a shared-memory workstation. Furthermore, we present a
dynamic extension to model gradual network change, while preserving at each
step the point position probabilities.


title:
Magnetic field dependence of excitations near spin-orbital quantum
  criticality

abstract:
  The spinel FeSc$_2$S$_4$ has been proposed to realize a near-critical
spin-orbital singlet (SOS) state, where entangled spin and orbital moments
fluctuate in a global singlet state on the verge of spin and orbital order.
Here we report powder inelastic neutron scattering measurements that observe
the full bandwidth of magnetic excitations and we find that spin-orbital
triplon excitations of an SOS state can capture well key aspects of the
spectrum in both zero and applied magnetic fields up to 8.5 T. The observed
shift of low-energy spectral weight to higher energies upon increasing applied
field is naturally explained by the entangled spin-orbital character of the
magnetic states, a behavior that is in strong contrast to spin-only singlet
ground state systems, where the spin gap decreases upon increasing applied
field.


title: 3D Interstellar Extinction Map within the Nearest Kiloparsec

abstract:
  The product of the previously constructed 3D maps of stellar reddening
(Gontcharov 2010) and $R_V$ variations (Gontcharov 2012) has allowed us to
produce a 3D interstellar extinction map within the nearest kiloparsec from the
Sun with a spatial resolution of 50 pc and an accuracy of $0.2^m$. This map is
compared with the 2D reddening map by Schlegel et al. (1998), the 3D extinction
map at high latitudes by Jones et al. (2011), and the analytical extinction
models by Arenou et al. (1992) and Gontcharov (2009). In all cases, we have
found good agreement and show that there are no systematic errors in the new
map everywhere except the direction toward the Galactic center. We have found
that the map by Schlegel et al. (1998) reaches saturation near the Galactic
equator at $E_{(B-V)}>0.8^m$, has a zero-point error and systematic errors
gradually increasing with reddening, and among the analytical models those that
take into account the extinction in the Gould Belt are more accurate. Our
extinction map shows that it is determined by reddening variations at low
latitudes and $R_V$ variations at high ones. This naturally explains the
contradictory data on the correlation or anticorrelation between reddening and
$R_V$ available in the literature. There is a correlation in a thin layer near
the Galactic equator, because both reddening and $R_V$ here increase toward the
Galactic center. There is an anticorrelation outside this layer, because higher
values of $R_V$ correspond to lower reddening at high and middle latitudes.
Systematic differences in sizes and other properties of the dust grains in
different parts of the Galaxy manifest themselves in this way. The largest
structures within the nearest kiloparsec, including the Local Bubble, the Gould
Belt, the Great Tunnel, the Scorpius, Perseus, Orion, and other complexes, have
manifested themselves in the constructed map.


title:
Polyakov loop and heavy quark entropy in strong magnetic fields from
  holographic black hole engineering

abstract:
  We investigate the temperature and magnetic field dependence of the Polyakov
loop and heavy quark entropy in a bottom-up Einstein-Maxwell-dilaton (EMD)
holographic model for the strongly coupled quark-gluon plasma (QGP) that
quantitatively matches lattice data for the $(2+1)$-flavor QCD equation of
state at finite magnetic field and physical quark masses. We compare the
holographic EMD model results for the Polyakov loop at zero and nonzero
magnetic fields and the heavy quark entropy at vanishing magnetic field with
the latest lattice data available for these observables and find good agreement
for temperatures $T\gtrsim 150$ MeV and magnetic fields $eB\lesssim 1$ GeV$^2$.
Predictions for the behavior of the heavy quark entropy at nonzero magnetic
fields are made that could be readily tested on the lattice.


title:
Exploring the Role of Sub-micron Sized Dust Grains in the Atmospheres of
  Red L0 - L6 Dwarfs

abstract:
  We examine the hypothesis that the red near-infrared colors of some L dwarfs
could be explained by a "dust haze" of small particles in their upper
atmospheres. This dust haze would exist in conjunction with the clouds found in
dwarfs with more typical colors. We developed a model which uses Mie theory and
the Hansen particle size distributions to reproduce the extinction due to the
proposed dust haze. We apply our method to 23 young L dwarfs and 23 red field L
dwarfs. We constrain the properties of the dust haze including particle size
distribution and column density using Markov-Chain Monte Carlo methods. We find
that sub-micron range silicate grains reproduce the observed reddening. Current
brown dwarf atmosphere models include large grain (1--100~$\mu m$) dust clouds
but not submicron dust grains. Our results provide a strong proof of concept
and motivate a combination of large and small dust grains in brown dwarf
atmosphere models.


title: Beam Emittance Measurement for PLS-II Linac

abstract:
  The PLS-II has a 100 MeV pre-injector for the 3 GeV Linac. A thermionic gun
produces electron charge of 200 pC with a bunch duration of 500 ps by a 250 ps
triggering pulser. At the pre-injector, one of the most important beam
parameters to identify the beam quality is a transverse emittance of electron
bunches. Therefore we measure the beam emittance and twiss functions at 100 MeV
in order to match the beam optics to beam transport line and go through it to
the storage ring. To get the transverse emittance measurement, well-known
technique, quadrupole scan, is used at the pre-injector. The emittance were
0.591 mm-mrad in horizontal and 0.774 mm-mrad in vertical direction.


title: Optoacoustic inversion via Volterra kernel reconstruction

abstract:
  In this letter we address the numeric inversion of optoacoustic signals to
initial stress profiles. Therefore we put under scrutiny the optoacoustic
kernel reconstruction problem in the paraxial approximation of the underlying
wave-equation. We apply a Fourier-series expansion of the optoacoustic Volterra
kernel and obtain the respective expansion coefficients for a given
"apparative" setup by performing a gauge procedure using synthetic input data.
The resulting effective kernel is subsequently used to solve the optoacoustic
source reconstruction problem for general signals. We verify the validity of
the proposed inversion protocol for synthetic signals and explore the
feasibility of our approach to also account for the diffraction transformation
of signals beyond the paraxial approximation.


title: A weakly universal cellular automaton in the heptagrid

abstract:
  In this paper, we construct a weakly universal cellular automaton in the
heptagrid, the tessellation $\{7,3\}$ which is not rotation invariant but which
is truly planar. This result, under these conditions, cannot be improved for
the tessellations $\{p,3\}$.


title:
Magnetizabilities of relativistic hydrogenlike atoms in some arbitrary
  discrete energy eigenstates

abstract:
  We present the results of numerical calculations of magnetizability ($\chi$)
of the relativistic one-electron atoms with a pointlike, spinless and
motionless nuclei of charge $Ze$. Exploiting the analytical formula for $\chi$
recently derived by us [P. Stefa{\'n}ska, 2015], valid for an arbitrary
discrete energy eigenstate, we have found the values of the magnetizability for
the ground state and for the first and the second set of excited states (i.e.:
$2s_{1/2}$, $2p_{1/2}$, $2p_{3/2}$, $3s_{1/2}$, $3p_{1/2}$, $3p_{3/2}$,
$3d_{3/2}$, and $3d_{5/2}$) of the Dirac one-electron atom. The results for
ions with the atomic number $1 \leqslant Z \leqslant 137$ are given in 14
tables. The comparison of the numerical values of magnetizabilities for the
ground state and for each states belonging to the first set of excited states
of selected hydrogenlike ions, obtained with the use of two different values of
the fine-structure constant, i.e.: $\alpha^{-1}=137.035 999 139$ (CODATA 2014)
and $\alpha^{-1}=137.035 999 074$ (CODATA 2010), is also presented.


title:
Measurement of jet activity in top quark events using the $e\mu$ final
  state with two $b$-tagged jets in $pp$ collisions at $\sqrt{s}=8$ TeV with
  the ATLAS detector

abstract:
  Measurements of the jet activity in $t\bar{t}$ events produced in
proton--proton collisions at $\sqrt{s}=8$ TeV are presented, using
$20.3\,$fb$^{-1}$ of data collected by the ATLAS experiment at the Large Hadron
Collider. The events were selected in the dilepton $e\mu$ decay channel with
two identified $b$-jets. The numbers of additional jets for various jet
transverse momentum ($p_T$) thresholds, and the normalised differential
cross-sections as a function of $p_T$ for the five highest-$p_T$ additional
jets, were measured in the jet pseudorapidity range $|\eta|<4.5$. The gap
fraction, the fraction of events which do not contain an additional jet in a
central rapidity region, was measured for several rapidity intervals as a
function of the minimum $p_T$ of a single jet or the scalar sum of $p_T$ of all
additional jets. These fractions were also measured in different regions of the
invariant mass of the $e\mu b\bar{b}$ system. All measurements were corrected
for detector effects, and found to be mostly well-described by predictions from
next-to-leading-order and leading-order $t\bar{t}$ event generators with
appropriate parameter choices. The results can be used to further optimise the
parameters used in such generators.


title: Holographic energy loss in non-relativistic backgrounds

abstract:
  In this paper, we study some aspects of energy loss in non-relativistic
theories from holography. We analyze the energy lost by a rotating heavy point
particle along a circle of radius $l$ with angular velocity $\omega$ in
theories with general dynamical exponent $z$ and hyperscaling violation
exponent $\theta$. It is shown that this problem provides a novel perspective
on the energy loss in such theories. A general computation at zero and finite
temperature is done and it is shown that how the total energy loss rate depends
non-trivially on two characteristic exponents $(z,\theta)$. We find that at
zero temperature there is a special radius $l_c$ where the energy loss is
independent of different values of $(\theta,z)$. Also at zero temperature,
there is a crossover between a regime in which the energy loss is dominated by
the linear drag force and by the radiation because of the acceleration of the
rotating particle. We find that the energy loss of the particle decreases by
increasing $\theta$ and $z$. We note that, unlike in the zero temperature,
there is no special radius $l_c$ at finite temperature case.


title: Packing perfect matchings in random hypergraphs

abstract:
  We introduce a new procedure for generating the binomial random
graph/hypergraph models, referred to as \emph{online sprinkling}. As an
illustrative application of this method, we show that for any fixed integer
$k\geq 3$, the binomial $k$-uniform random hypergraph $H^{k}_{n,p}$ contains
$N:=(1-o(1))\binom{n-1}{k-1}p$ edge-disjoint perfect matchings, provided $p\geq
\frac{\log^{C}n}{n^{k-1}}$, where $C:=C(k)$ is an integer depending only on
$k$. Our result for $N$ is asymptotically best optimal and for $p$ is optimal
up to the $polylog(n)$ factor.


title: Comments on "sub-KBT micro-electromechanical irreversible logic gate"

abstract:
  In a recent article, Nature Communications 7 (2016) 12068, the authors
claimed that they demonstrated sub-kBT energy dissipation at elementary logic
operations. However, the argumentation is invalid because it neglects the
dominant source of energy dissipation, namely, the charging energy of the
capacitance of the input electrode, which totally dissipates during the full
(0-1-0) cycle of logic values. The neglected dissipation phenomenon is
identical with the mechanism that leads to the lower physical limit of
dissipation (70-100 kBT) in today's microprocessors (CMOS logic) and in any
other system with thermally activated errors thus the same limit holds for the
new scheme, too.


title: Matched Metrics to the Binary Asymmetric Channels

abstract:
  In this paper we establish some criteria to decide when a discrete memoryless
channel admits a metric in such a way that the maximum likelihood decoding
coincides with the nearest neighbour decoding. In particular we prove a
conjecture presented by M. Firer and J. L. Walker establishing that every
binary asymmetric channel admits a matched metric.


title: Unconventional disorder effects in correlated superconductors

abstract:
  The understanding of disorder has profoundly influenced the development of
condensed matter physics, explaining such fundamental effects as, for example,
the transition from ballistic to diffusive propagation, and the presence of
quantized steps in the quantum Hall effect. For superconductors, the response
to disorder reveals crucial information about the internal gap symmetries of
the condensate, and thereby the pairing mechanism itself. The destruction of
superconductivity by disorder is traditionally described by Abrikosov-Gor'kov
(AG) theory, which however ignores spatial modulations and ceases to be valid
when impurities interfere, and interactions become important. Here we study the
effects of disorder on unconventional superconductors in the presence of
correlations, and explore a completely different disorder paradigm dominated by
strong deviations from standard AG theory due to generation of local bound
states and cooperative impurity behavior driven by Coulomb interactions.
Specifically we explain under which circumstances magnetic disorder acts as a
strong poison destroying high-Tc superconductivity at the sub-1% level, and
when non-magnetic disorder, counter-intuitively, hardly affects the
unconventional superconducting state while concomitantly inducing an
inhomogeneous full-volume magnetic phase. Recent experimental studies of
Fe-based superconductors have discovered that such unusual disorder behavior
seem to be indeed present in those systems.


title:
Saalsch\"utz's theorem and summation formulae involving generalized
  harmonic numbers

abstract:
  In terms of the derivative operator, integral operator and Saalsch\"{u}tz's
theorem, two families of summation formulae involving generalized harmonic
numbers are established.


title: How to run 100 meters ?

abstract:
  The aim of this paper is to bring a mathematical justification to the optimal
way of organizing one's effort when running. It is well known from
physiologists that all running exercises of duration less than 3mn are run with
a strong initial acceleration and a decelerating end; on the contrary, long
races are run with a final sprint. This can be explained using a mathematical
model describing the evolution of the velocity, the anaerobic energy, and the
propulsive force: a system of ordinary differential equations, based on
Newton's second law and energy conservation, is coupled to the condition of
optimizing the time to run a fixed distance. We show that the monotony of the
velocity curve vs time is the opposite of that of the oxygen uptake
($\dot{VO2}$) vs time. Since the oxygen uptake is monotone increasing for a
short run, we prove that the velocity is exponentially increasing to its
maximum and then decreasing. For longer races, the oxygen uptake has an
increasing start and a decreasing end and this accounts for the change of
velocity profiles. Numerical simulations are compared to timesplits from real
races in world championships for 100m, 400m and 800m and the curves match quite
well.


title: Maximal liquid bridges between horizontal cylinders

abstract:
  We investigate two-dimensional liquid bridges trapped between pairs of
identical horizontal cylinders. The cylinders support forces due to surface
tension and hydrostatic pressure which balance the weight of the liquid. The
shape of the liquid bridge is determined by analytically solving the nonlinear
Laplace-Young equation. Parameters that maximize the trapping capacity (defined
as the cross-sectional area of the liquid bridge) are then determined. The
results show that these parameters can be approximated with simple
relationships when the radius of the cylinders is small compared to the
capillary length. For such small cylinders, liquid bridges with the largest
cross sectional area occur when the centre-to-centre distance between the
cylinders is approximately twice the capillary length. The maximum trapping
capacity for a pair of cylinders at a given separation is linearly related to
the separation when it is small compared to the capillary length. The meniscus
slope angle of the largest liquid bridge produced in this regime is also a
linear function of the separation. We additionally derive approximate solutions
for the profile of a liquid bridge making use of the linearized Laplace-Young
equation. These solutions analytically verify the above relationships obtained
for the maximization of the trapping capacity.


title:
Diffractive production of heavy mesons at the LHC within $k_t$ -
  factorization approach

abstract:
  We discuss diffractive production of heavy mesons at the LHC. The
differential cross sections for single- and central-diffractive mechanisms for
$c\bar c$ pair production are calculated in the framework of the
Ingelman-Schlein model corrected for absorption effects. Here, leading-order
gluon-gluon fusion and quark-antiquark anihilation partonic subprocesses are
taken into consideration. Both pomeron flux factors as well as parton
distributions in the pomeron are taken from the H1 Collaboration analysis of
diffractive structure function and diffractive dijets at HERA. The extra
corrections from subleading reggeon exchanges are also taken into
consideration. In addition to standard collinear approach, for the first time
the differential cross sections for the diffractive $c\bar c$ pair production
are calculated in the framework of the $k_t$-factorization approach, i.e.
effectively including higher-order corrections. The unintegrated (transverse
momentum dependent) diffractive parton distributions in proton are calculated
with the help of the Kimber-Martin-Ryskin prescription where collinear
diffractive PDFs are used as input. Some correlation observables, like
azimuthal angle correlation between $c$ and $\bar c$, and $c \bar c$ pair
transverse momentum were obtained for the first time. The hadronization of
charm quarks is taken into account by means of fragmentation function
technique.


title:
Exploring arbitrarily high orders of optimized perturbation theory in
  QCD with nf -> 16.5

abstract:
  Perturbative QCD with nf flavours of massless quarks becomes simple in the
hypothetical limit nf -> 16.5, where the leading beta-function coefficient
vanishes. The Banks-Zaks (BZ) expansion in a0=(8/321)(16.5-nf) is
straightforward to obtain from perturbative results in MSbar or any
renormalization scheme (RS) whose nf dependence is `regular.' However,
`irregular' RS's are perfectly permissible and should ultimately lead to the
same BZ results. We show here that the `optimal' RS determined by the Principle
of Minimal Sensitivity does yield the same BZ-expansion results when all orders
of perturbation theory are taken into account. The BZ limit provides an arena
for exploring optimized perturbation theory at arbitrarily high orders. These
explorations are facilitated by a `master equation' expressing the optimization
conditions in the fixed-point limit. We find an intriguing strong/weak coupling
duality a -> a*^2/a about the fixed point a*.


title:
Complete off-shell effects for top-antitop + jet production with
  leptonic decays at the LHC

abstract:
  A brief summary of the calculation of the NLO QCD corrections to the process
pp -> e+ ve mu- v_mu bb~ j + X is reported. This provides a complete
description of the process of t-tbar + jet production with leptonic decays
beyond the narrow-width approximation. Off-shell effects for top quarks and W
boson decays are fully taken into account, namely all resonant and non-resonant
contributions are included in the fixed-order calculation. Selected results for
total and differential cross sections are shown for the case of the LHC Run I
at the energy of 8 TeV.


title:
Temperature dependence of the NMR relaxation rate 1/T_1 for quantum spin
  chains

abstract:
  We present results of numerical simulations performed on one-dimensional spin
chains in order to extract the so-called relaxation rate $1/T_1$ accessible
through NMR experiments. Building on numerical tensor network methods using the
Matrix Product States (MPS) formalism, we can follow the non-trivial crossover
occurring in critical chains between the high-temperature diffusive classical
regime and the low-temperature response described by the Tomonaga-Luttinger
liquid (TLL) theory, for which analytical expressions are known. In order to
compare analytics and numerics, we focus on a generic spin-$1/2$ XXZ chain
which is a paradigm of gapless TLL, as well as a more realistic spin-$1$
anisotropic chain, modelling the DTN material, which can be either in a trivial
gapped phase or in a TLL regime induced by an external magnetic field. Thus, by
monitoring the finite temperature crossover, we provide quantitative limits on
the range of validity of TLL theory, that will be useful when interpreting
experiments on quasi one-dimensional materials.


title:
Global Dynamics of solutions with group invariance for the nonlinear
  Schr\"{o}dinger equation

abstract:
  We consider the focusing mass-supercritical and energy-subcritical nonlinear
Schr\"{o}dinger equation (NLS). We are interested in the global behavior of the
solutions to (NLS) with group invariance. By the group invariance, we can
determine the global behavior of the solutions above the ground state standing
waves.


title:
Comment on "Axion Dark Matter Coupling to Resonant Photons via Magnetic
  Field"

abstract:
  A recent Letter, Phys. Rev. Lett. 116, 161804 (2016), claims that for typical
dark matter axion search experiments using cylindrical haloscopes, the power
gain depends on the relative position of a cavity with respect to the center of
a solenoidal magnetic field due to different electric and magnetic couplings.
We review this Letter and find a misinterpretation of the coordinate system. We
correct this and see no dependence of the coupling strength on the cavity
location and the electric and magnetic energies stored in a cavity mode are
equal.


title: Synthetic Unruh effect in cold atoms

abstract:
  We propose to simulate a Dirac field near an event horizon using ultracold
atoms in an optical lattice. Such a quantum simulator allows for the
observation of the celebrated Unruh effect. Our proposal involves three stages:
(1) preparation of the ground state of a massless 2D Dirac field in Minkowski
spacetime; (2) quench of the optical lattice setup to simulate how an
accelerated observer would view that state; (3) measurement of the local
quantum fluctuation spectra by one-particle excitation spectroscopy in order to
simulate a De Witt detector. According to Unruh's prediction, fluctuations
measured in such a way must be thermal. Moreover, following Takagi's inversion
theorem, they will obey the Bose-Einstein distribution, which will smoothly
transform into the Fermi-Dirac as one of the dimensions of the lattice is
reduced.

categories: cond-mat.quant-gas gr-qc hep-th quant-ph


title:
G 207-9 and LP 133-144: light curve analysis and asteroseismology of two
  ZZ Ceti stars

abstract:
  G 207-9 and LP 133-144 are two rarely observed ZZ Ceti stars located in the
middle and close to the blue edge of the ZZ Ceti instability domain,
respectively. We aimed to observe them at least during one observing season at
Konkoly Observatory with the purpose of extending the list of known pulsation
modes for asteroseismic investigations and detect any significant changes in
their pulsational behaviour. We determined five and three new normal modes of G
207-9 and LP 133-144, respectively. In LP 133-144, our frequency analysis also
revealed that at least at three modes there are actually triplets with
frequency separations of ~4 microHz. The rotational period of LP 133-144 based
on the triplets is ~42 h. The preliminary asteroseismic fits of G 207-9 predict
Teff=12 000 or 12 400 K and M*=0.855-0.870 MSun values for the effective
temperature and mass of the star, depending on the assumptions on the spherical
degree (l) values of the modes. These results are in agreement with the
spectroscopic determinations. In the case of LP 133-144, the best-fitting
models prefer Teff=11 800 K in effective temperature and M*>=0.71 MSun stellar
masses, which are more than 0.1 MSun larger than the spectroscopic value.


title:
$\bar{\partial}$-equation on $(p,q)$-forms on conic neighbourhoods of
  $1$-convex manifolds

abstract:
  We construct a metric on a vector bundle $E \rightarrow Z$ restricted to a
conic neighbourhood of a relatively compact $1$-convex section of a submersion
$Z \rightarrow X$ with at most polynomial poles at the boundary and positive
Nakano curvature tensor in bidegree $(p,q).$


title: Virtual Element Method for geomechanics on reservoir grids

abstract:
  In this paper we study the use of Virtual Element method for geomechanics.
Our emphasis is on applications to reservoir simulations. The physical
processes that form the reservoirs, such as sedimentation, erosion and
faulting, lead to complex geometrical structures. A minimal representation,
with respect to the physical parameters of the system, then naturally leads to
general polyhedral grids. Numerical methods which can directly handle this
representation will be highly favorable, in particular in the setting of
advanced work-flows. The Virtual Element method is a promising candidate to
solve the linear elasticity equations on such models. In this paper, we
investigate some of the limits of the VEM method when used on reservoir models.
First, we demonstrate that care must be taken to make the method robust for
highly elongated cells, which is common in these applications, and show the
importance of calculating forces in terms of traction on the boundary of the
elements for elongated distorted cells. Second, we study the effect of
triangulations on the surfaces of curved faces, which also naturally occur in
subsurface models. We also demonstrate how a more stable regularization term
for reservoir application can be derived.


title:
Interaction-Induced Characteristic Length in Strongly Many-Body
  Localized Systems

abstract:
  We propose a numerical method for explicitly constructing a complete set of
local integrals of motion (LIOM) and definitely show the existence of LIOM for
strongly many-body localized systems. The method combines exact diagonalization
and nonlinear minimization, and gradually deforms the LIOM for the
noninteracting case to those for the interacting case. By using this method we
find that for strongly disordered and weakly interacting systems, there are two
characteristic lengths in the LIOM. The first one is governed by disorder and
is of Anderson-localization nature. The second one is induced by interaction
but shows a discontinuity at zero interaction, showing a nonperturbative
nature. We prove that the entanglement and correlation in any eigenstate extend
not longer than twice the second length and thus the eigenstates of the system
are `quasi-product states' with such a localization length.

categories: cond-mat.dis-nn cond-mat.stat-mech cond-mat.str-el physics.comp-ph


title:
Supplementary Appendix for: Constrained Perturbation Regularization
  Approach for Signal Estimation Using Random Matrix Theory

abstract:
  In this supplementary appendix we provide proofs and additional extensive
simulations that complement the analysis of the main paper (constrained
perturbation regularization approach for signal estimation using random matrix
theory).


title:
Corrigendum to "On injective modules and support varieties for the small
  quantum group"

abstract:
  The proof of Theorem 5.12 in [C.M. Drupieski, On injective modules and
support varieties for the small quantum group, Int. Math. Res. Not. 2011
(2011), 2263-2294] does not make sense as written because the algebra
$u_\zeta(\mathfrak{b}_\alpha^+)$ need not be a Hopf subalgebra of
$u_\zeta(\mathfrak{b}^+)$ unless $\alpha$ is a simple root. This note describes
how the proof should be modified to work around this fact.


title:
From deep-inelastic structure functions to two-photon dilepton
  production in proton-proton collisions

abstract:
  We compare two different approaches used for calculating cross sections for
the two-photon $p p \to l^+ l^- X$ process. In one of the approaches photon is
treated as a collinear parton in the proton. In the second approach a recently
proposed $k_T$-factorization method is used. In this presentation we discuss
sensitivity of the results to the choice of structure function parametrization
and experimental cuts in the $k_T$-factorization approach. We compare results
of our calculations with recent experimental data for dilepton production and
find that in most cases the contribution of the photon-photon mechanism is
rather small. We discuss how to enhance the photon-photon contribution. We also
compare our results to those of recent measurements of exclusive and
semi-exclusive $e^+ e^-$ pair production with certain experimental data by the
CMS collaboration.


title:
$\Psi(2S)$ and $\Upsilon(3S)$ Suppression in p-Pb 8 TeV Collisions and
  Mixed Heavy Quark Hybrid Mesons

abstract:
  This brief report is an extension of a previus publication on $\Psi(2S)$ to
$J/\Psi(1S)$ suppression in p-Pb collisions at 5.02 TeV to estimate $\Psi(2S)$
to $J/\Psi(1S)$ and $\Upsilon(3S)$ to $\Upsilon(1S)$ suppression via p-Pb
collisions at 8 TeV as proposed by the LHCb.


title: Robust Bell inequalities from communication complexity

abstract:
  The question of how large Bell inequality violations can be, for quantum
distributions, has been the object of much work in the past several years. We
say that a Bell inequality is normalized if its absolute value does not exceed
1 for any classical (i.e. local) distribution. Upper and (almost) tight lower
bounds have been given for the quantum violation of these Bell inequalities in
terms of number of outputs of the distribution, number of inputs, and the
dimension of the shared quantum states. In this work, we revisit normalized
Bell inequalities together with another family: inefficiency-resistant Bell
inequalities. To be inefficiency-resistant, the Bell value must not exceed 1
for any local distribution, including those that can abort. This makes the Bell
inequality resistant to the detection loophole, while a normalized Bell
inequality is resistant to general local noise. Both these families of Bell
inequalities are closely related to communication complexity lower bounds. We
show how to derive large violations from any gap between classical and quantum
communication complexity, provided the lower bound on classical communication
is proven using these lower bound techniques. This leads to
inefficiency-resistant violations that can be exponential in the size of the
inputs. Finally, we study resistance to noise and inefficiency for these Bell
inequalities.


title:
Dynamical systems on the Liouville plane and the related strictly
  contact systems

abstract:
  We study vector fields of the plane preserving the form of Liouville. We
present their local models up to the natural equivalence relation, and describe
local bifurcations of low codimension. To achieve that, a classification of
univariate functions is given, according to a relation stricter than contact
equivalence. We discuss, in addition, their relation with strictly contact
vector fields in dimension three. Analogous results for diffeomorphisms are
also given.


title:
Correlations of zero-entropy critical states in the XXZ model:
  integrability and Luttinger theory far from the ground state

abstract:
  Pumping a finite energy density into a quantum system typically leads to
`melted' states characterized by exponentially-decaying correlations, as is the
case for finite-temperature equilibrium situations. An important exception to
this rule are states which, while being at high energy, maintain a low entropy.
Such states can interestingly still display features of quantum criticality,
especially in one dimension. Here, we consider high-energy states in
anisotropic Heisenberg quantum spin chains obtained by splitting the ground
state's magnon Fermi sea into separate pieces. Using methods based on
integrability, we provide a detailed study of static and dynamical spin-spin
correlations. These carry distinctive signatures of the Fermi sea splittings,
which would be observable in eventual experimental realizations. Going further,
we employ a multi-component Tomonaga-Luttinger model in order to predict the
asymptotics of static correlations. For this effective field theory, we fix all
universal exponents from energetics, and all non-universal correlation
prefactors using finite-size scaling of matrix elements. The correlations
obtained directly from integrability and those emerging from the Luttinger
field theory description are shown to be in extremely good correspondence, as
expected, for the large distance asymptotics, but surprisingly also for the
short distance behavior. Finally, we discuss the description of dynamical
correlations from a mobile impurity model, and clarify the relation of the
effective field theory parameters to the Bethe Ansatz solution.


title: A Model Explanation System: Latest Updates and Extensions

abstract:
  We propose a general model explanation system (MES) for "explaining" the
output of black box classifiers. This paper describes extensions to Turner
(2015), which is referred to frequently in the text. We use the motivating
example of a classifier trained to detect fraud in a credit card transaction
history. The key aspect is that we provide explanations applicable to a single
prediction, rather than provide an interpretable set of parameters. We focus on
explaining positive predictions (alerts). However, the presented methodology is
symmetrically applicable to negative predictions.


title:
maskSLIC: Regional Superpixel Generation with Application to Local
  Pathology Characterisation in Medical Images

abstract:
  Supervoxel methods such as Simple Linear Iterative Clustering (SLIC) are an
effective technique for partitioning an image or volume into locally similar
regions, and are a common building block for the development of detection,
segmentation and analysis methods. We introduce maskSLIC an extension of SLIC
to create supervoxels within regions-of-interest, and demonstrate,on examples
from 2-dimensions to 4-dimensions, that maskSLIC overcomes issues that affect
SLIC within an irregular mask. We highlight the benefits of this method through
examples, and show that it is able to better represent underlying tumour
subregions and achieves significantly better results than SLIC on the BRATS
2013 brain tumour challenge data (p=0.001) - outperforming SLIC on 18/20 scans.
Finally, we show an application of this method for the analysis of functional
tumour subregions and demonstrate that it is more effective than voxel
clustering.


title:
Differential Higgs Boson Pair Production at Next-to-Next-to-Leading
  Order in QCD

abstract:
  We report on the first fully differential calculation for double Higgs boson
production through gluon fusion in hadron collisions up to
next-to-next-to-leading order (NNLO) in QCD perturbation theory. The
calculation is performed in the heavy-top limit of the Standard Model, and in
the phenomenological results we focus on pp collisions at 14 TeV. We present
differential distributions through NNLO for various observables including the
transverse-momentum and rapidity distributions of the two Higgs bosons. NNLO
corrections are at the level of 10%-25% with respect to the next-to-leading
order (NLO) prediction with a residual scale uncertainty of 5%-15% and an
overall mild phase-space dependence. Only at NNLO the perturbative expansion
starts to converge yielding overlapping scale uncertainty bands between NNLO
and NLO in most of the phase-space. The calculation includes NLO predictions
for pp -> HH+jet+X. Corrections to the corresponding distributions exceed 50%
with a residual scale dependence of 20%-30%.


title:
Specific interface area and self-stirring in a two-liquid system
  experiencing intense interfacial boiling below the bulk boiling temperatures
  of both components

abstract:
  We present an approach to theoretical assessment of the mean specific
interface area $(\delta{S}/\delta{V})$ for a well-stirred system of two
immiscible liquids experiencing interfacial boiling. The assessment is based on
the balance of transformations of mechanical energy and the laws of the
momentum and heat transfer in the turbulent boundary layer. The theory yields
relations between the specific interface area and the characteristics of the
system state. In particular, this allows us to derive the equations of
self-cooling dynamics of the system in the absence of external heat supply. The
results provide possibility for constructing a self-contained mathematical
description of the process of interfacial boiling. In this study, we assume the
volume fractions of two components to be similar as well as the values of their
kinematic viscosity and molecular heat diffusivity.


title:
Probabilistic Reasoning in the Description Logic ALCP with the Principle
  of Maximum Entropy (Full Version)

abstract:
  A central question for knowledge representation is how to encode and handle
uncertain knowledge adequately. We introduce the probabilistic description
logic ALCP that is designed for representing context-dependent knowledge, where
the actual context taking place is uncertain. ALCP allows the expression of
logical dependencies on the domain and probabilistic dependencies on the
possible contexts. In order to draw probabilistic conclusions, we employ the
principle of maximum entropy. We provide reasoning algorithms for this logic,
and show that it satisfies several desirable properties of probabilistic
logics.


title: Practical targeted learning from large data sets by survey sampling

abstract:
  We address the practical construction of asymptotic confidence intervals for
smooth (i.e., path-wise differentiable), real-valued statistical parameters by
targeted learning from independent and identically distributed data in contexts
where sample size is so large that it poses computational challenges. We
observe some summary measure of all data and select a sub-sample from the
complete data set by Poisson rejective sampling with unequal inclusion
probabilities based on the summary measures. Targeted learning is carried out
from the easier to handle sub-sample. We derive a central limit theorem for the
targeted minimum loss estimator (TMLE) which enables the construction of the
confidence intervals. The inclusion probabilities can be optimized to reduce
the asymptotic variance of the TMLE. We illustrate the procedure with two
examples where the parameters of interest are variable importance measures of
an exposure (binary or continuous) on an outcome. We also conduct a simulation
study and comment on its results. keywords: semiparametric inference; survey
sampling; targeted minimum loss estimation (TMLE)


title:
Role of substrate induced electron-phonon interactions in biased
  graphitic bilayers

abstract:
  Bilayers of graphitic materials have potential applications in field effect
transistors (FETs). A potential difference applied between certain ionic
bilayers made from insulating graphitic materials such as BN, ZnO and AlN could
reduce gap sizes, turning them into useful semiconductors. On the other hand,
opening of a small semiconducting gap occurs in graphene bilayers under applied
field. The aim here is to investigate to what extent substrate induced
electron-phonon interactions (EPIs) modify this gap change. We examine EPIs in
several lattice configurations, using a perturbative approach. The typical
effect of EPIs on the ionic bilayers is an undesirable gap widening. The size
of this gap change varies considerably with lattice structure and the magnitude
of the bias. When bias is larger than the non-interacting gap size, EPIs have
the smallest effect on the bandgap, especially in configurations with
$AA^{\prime}$ and $AB$ structures. Thus careful selection of substrate, lattice
configuration and bias strength to minimise the effects of EPIs could be
important for optimising the properties of electronic devices. We use
parameters related to BN in this article. In practice, the results presented
here are broadly applicable to other graphitic bilayers, and are likely to be
qualitatively similar in metal dichalcogenide bilayers such as MoS$_2$, which
are already of high interest for their use in FETs.


title:
Simulation of Thermal and Chemical Relaxation in a Post-Discharge Air
  Corona Reactor

abstract:
  In a DC point-to-plane corona discharge reactor, the mono filamentary
streamers cross the inter electrode gap with a natural repetition frequency of
some tens of kHz. The discharge phase (including the primary and the secondary
streamers development) lasts only some hundred of nanoseconds while the
post-discharge phases occurring between two successive discharge phases last
some tens of microseconds. From the point of view of chemical activation, the
discharge phases create radical and excited species located inside the very
thin discharge filaments while during the post-discharge phases these radical
and excited species induce a chemical kinetics that diffuse in a part of the
reactor volume. From the point of view of hydrodynamics activation, the
discharge phases induce thermal shock waves and the storage of vibrational
energy which relaxes into thermal form only during the post-discharge phase.
Furthermore, the glow corona discharges that persist during the post-discharge
phases induce the so called electrical wind. In the present work, the
post-discharge phase is simulated in a bi-dimensional geometry using the
commercial FLUENT software. The discharges effects (radical and excited species
creation and thermal relaxation) are involved through chemical and energy
source terms calculated from a complete 2Drz streamer model already developed.


title:
One-loop divergences of quantum gravity coupled with scalar
  electrodynamics

abstract:
  In non-supersymmetric covariant quantum gravity theory, for each system of
gravity coupled with single field is one-loop divergent. Since adding other
fields or other interactions to each system generates more possible
counter-Lagrangian terms, there is room for improvement to restore
renormalizability. In this paper, we consider Einstein-Maxwell fields coupled
with electrically charged scalar which is the simplest model among the systems
of gravity coupled with multiple fields having their own interaction. First, we
introduce how to calculate the possible one-loop diagrams in Einstein-SQED
system and show that this system is non-renormalizable.


title:
New single- and double-parton scattering mechanisms for double charmed
  meson production

abstract:
  We discuss charm meson-meson pair production recently observed by the LHCb
Collaboration at $\sqrt{s}$ = 7 TeV in proton-proton scattering. We examine
double-parton scattering (DPS) mechanisms of double $c \bar c$ production and
following $cc \to D^{0}D^{0}$ hadronization as well as double $g$ and mixed $g
c\bar c $ production with $gg \to D^{0}D^{0}$ and $gc \to D^{0}D^{0}$
hadronization calculated with the help of the scale-dependent KKKS08
fragmentation functions. A new single-parton scattering (SPS) mechanism of $gg$
production is also taken into consideration. Calculated differential
distributions as a function of transverse momentum $p_{T}$ of one of the
$D^{0}$ mesons, pair invariant mass $M_{D^{0}D^{0}}$ and azimuthal angle
$\varphi_{D^{0}D^{0}}$ distributions are confronted with the measured ones. The
manifestation of the new SPS mechanisms with $g \to D^{0}$ fragmentation within
the scale-dependent fragmentation scheme change the overall picture suitable
for standard scale-independent fragmentation where only DPS $cc \to D^{0}D^{0}$
mechanism is present. Some consequences of the new mechanisms are discussed


title:
Buhmann covariance functions, their compact supports, and their
  smoothness

abstract:
  We consider the Buhmann class of compactly supported radial basis functions,
whih includes a wealth of special cases that have been studied in both
numerical analysis and spatial statistics literatures. In particular, the
celebrated Wu, Wendland and Missing Wendland functions are notable special
cases of this class. We propose a very simple difference operator and show the
conditions for which the application of it to Buhmann functions preserves
positive definiteness on $m$-dimensional Euclidean spaces. We also show that
the application of the difference operator increases smoothness at the origin,
whilst keeping positive definiteness in the same $m$-dimensional Euclidean
space, as well as compact support. Thus, our operator is a competitor of the
celebrated Mont{\'e}e operator, which allows to increase the smoothness at the
origin, at the expense of losing positive definiteness in the space where the
radial basis function is originally defined. The proofs of our results
highlight surprising connections with past literatures on celebrated class of
functions. Amongst them, absolute and completely monotone functions.


title:
Comparing numerical and analytical approaches to strongly interacting
  two-component mixtures in one dimensional traps

abstract:
  We investigate one-dimensional harmonically trapped two-component systems for
repulsive interaction strengths ranging from the non-interacting to the
strongly interacting regime for Fermi-Fermi mixtures. A new and powerful
mapping between the interaction strength parameters from a continuous
Hamiltonian and a discrete lattice Hamiltonian is derived. As an example, we
show that this mapping does not depend neither on the state of the system nor
on the number of particles. Energies, density profiles and correlation
functions are obtained both numerically (DMRG and Exact diagonalization) and
analytically. Since DMRG results do not converge as the interaction strength is
increased, analytical solutions are used as a benchmark to identify the point
where these calculations become unstable. We use the proposed mapping to set a
quantitative limit on the interaction parameter of a discrete lattice
Hamiltonian above which DMRG gives unrealistic results.


title: Dusty Quasars at High Redshifts

abstract:
  A population of quasars at z ~ 2 is determined based on dust luminosities
vLv(7.8 um) that includes unobscured, partially obscured, and obscured quasars.
Quasars are classified by the ratio vLv(0.25 um)/vLv(7.8 um) = UV/IR, assumed
to measure obscuration of UV luminosity by the dust which produces IR
luminosity. Quasar counts at rest frame 7.8 um are determined for quasars in
the Bootes field of the NOAO Deep Wide Field Survey using 24 um sources with
optical redshifts from the AGN and Galaxy Evolution Survey (AGES) or infrared
redshifts from the Spitzer Infrared Spectrograph. Spectral energy distributions
are extended to far infrared wavelengths using observations from the Herschel
Space Observatory Spectral and Photometric Imaging Receiver (SPIRE), and new
SPIRE photometry is presented for 77 high redshift quasars from the Sloan
Digital Sky Survey. It is found that unobscured and obscured quasars have
similar space densities at rest frame 7.8 um, but the ratio Lv(100 um)/Lv(7.8
um) is about three times higher for obscured quasars compared to unobscured, so
that far infrared or submm discoveries are dominated by obscured quasars.
Quasar source counts for these samples are determined for comparison to the
number of submm sources that have been discovered with the SCUBA-2 camera at z
~ 2 using the Lv(100 um)/Lv(7.8 um) results together with the Bootes 7.8 um
counts, and we find that only ~ 5% of high redshift submm sources are quasars,
including even the most obscured quasars. Illustrative source counts are
predicted to z = 10, and we show that existing SCUBA-2 850 um surveys or 2 mm
surveys with the Goddard-IRAM Superconducting 2 Millimeter Observer (GISMO)
survey camera should already have detected sources at z ~ 10 if quasar and
starburst luminosity functions remain the same from z = 2 until z = 10.


title: Modeling and Predicting DNS Server Load

abstract:
  The DNS relies on caching to ensure high scalability and good performance. In
optimizing caching, TTL adjustment provides a means of balancing between query
load and TTL-dependent performances such as data consistency, load balancing,
migration time, etc. To gain the desired balance, TTL adjustment depends on
predictions of query loads under alternative TTLs. This paper proposes a model
of DNS server load, which employs the uniform aggregate caching model to
simplify the complexity of modeling clients' requests and their caching. A
method of predicting DNS server load is developed using that model. The
prediction method is solely based on the unilateral measurements or
observations at authoritative servers. Without reliance on lots of multi-point
measurements nor distributed measuring facilities, the method is best suited
for DNS authoritative operators. The proposed model and prediction method are
validated through extensive simulations. Finally, global sensibility analysis
is conducted to evaluate the impacts of measurement uncertainties or errors on
the predictions.


title:
Reconstructing the topology on monoids and polymorphism clones of
  reducts of the rationals

abstract:
  We extend results from an earlier paper giving reconstruction results for the
endomorphism monoid of the rational numbers under the strict and reflexive
relations to the first order reducts of the rationals and the corresponding
polymorphism clones. We also give some similar results about the coloured
rationals.


title: An application of TQFT to modular representation theory

abstract:
  For p>3 a prime, and g>2 an integer, we use Topological Quantum Field Theory
(TQFT) to study a family of p-1 highest weight modules L_p(lambda) for the
symplectic group Sp(2g,K) where K is an algebraically closed field of
characteristic p. This permits explicit formulae for the dimension and the
formal character of L_p(lambda) for these highest weights.


title:
Airborne forward pointing UV Rayleigh lidar for remote clear air
  turbulence (CAT) detection: system design and performance

abstract:
  A high-performance airborne UV Rayleigh lidar system was developed within the
European project DELICAT. With its forward-pointing architecture it aims at
demonstrating a novel detection scheme for clear air turbulence (CAT) for an
aeronautics safety application. Due to its occurrence in clear and clean air at
high altitudes (aviation cruise flight level), this type of turbulence evades
microwave radar techniques and in most cases coherent Doppler lidar techniques.
The present lidar detection technique relies on air density fluctuations
measurement and is thus independent of backscatter from hydrometeors and
aerosol particles. The subtle air density fluctuations caused by the turbulent
air flow demand exceptionally high stability of the setup and in particular of
the detection system. This paper describes an airborne test system for the
purpose of demonstrating this technology and turbulence detection method: a
high-power UV Rayleigh lidar system is installed on a research aircraft in a
forward-looking configuration for use in cruise flight altitudes. Flight test
measurements demonstrate this unique lidar system being able to resolve air
density fluctuations occurring in light-to-moderate CAT at 5 km or moderate CAT
at 10 km distance. A scaling of the determined stability and noise
characteristics shows that such performance is adequate for an application in
commercial air transport.


title: $\rm G_2$ holonomy manifolds are superconformal

abstract:
  We study the chiral de Rham complex (CDR) over a manifold $M$ with holonomy
$\rm G_2$. We prove that the vertex algebra of global sections of the CDR
associated to $M$ contains two commuting copies of the Shatashvili-Vafa $\rm
G_2$ superconformal algebra. Our proof is a tour de force, based on explicit
computations.


title: Thermal width of heavy quarkonia from an AdS/QCD model

abstract:
  We estimate the thermal width of a heavy quark anti-quark pair inside a
strongly coupled plasma using a holographic AdS/QCD model. The imaginary part
of the quark potential that produces the thermal width appears in the gravity
dual from quantum fluctuations of the string world sheet in the vicinity of the
horizon. The results, obtained using a soft wall background that involves an
infrared mass scale, are consistent with previous analisys where the mass scale
was introduced by averaging over quark anti-quark states.


title:
Perspectives on Gamma-Ray Burst Physics and Cosmology with Next
  Generation Facilities

abstract:
  High-redshift Gamma-Ray Bursts (GRBs) beyond redshift $\sim6$ are potentially
powerful tools to probe the distant early Universe. Their detections in large
numbers and at truly high redshifts call for the next generation of high-energy
wide-field instruments with unprecedented sensitivity at least one order of
magnitude higher than the ones currently in orbit. On the other hand, follow-up
observations of the afterglows of high-redshift GRBs and identification of
their host galaxies, which would be difficult for the currently operating
telescopes, require new, extremely large facilities of at multi-wavelengths.
This chapter describes future experiments that are expected to advance this
exciting field, both being currently built and being proposed. The legacy of
Swift will be continued by SVOM, which is equipped with a set of space-based
multi-wavelength instruments as well as and a ground segment including a wide
angle camera and two follow-up telescopes. The established Lobster-eye X-ray
focusing optics provides a promising technology for the detection of faint GRBs
at very large distances, based on which the {THESEUS}, {Einstein Probe} and
other mission concepts have been proposed. Follow-up observations and
exploration of the reionization era will be enabled by large facilities such as
{SKA} in the radio, the 30m class telescopes in the optical/near-IR, and the
space-borne {WFIRST} and {JWST} in the optical/near-IR/mid-IR. In addition, the
X-ray and $\gamma$-ray polarization experiment POLAR is also introduced.


title: New insights on the formation of nuclear star clusters

abstract:
  Nuclear Clusters (NCs) are common stellar systems in the centres of galaxies.
Yet, the physical mechanisms involved in their formation are still debated.
Using a parsec-resolution hydrodynamical simulation of a dwarf galaxy, we
propose an updated formation scenario for NCs. In this 'wet migration
scenario', a massive star cluster forms in the gas-rich disc, keeping a gas
reservoir, and growing further while it migrates to the centre via a
combination of interactions with other substructures and dynamical friction. A
wet merger with another dense cluster and its own gas reservoir can occur,
although this is not a pre-requisite for the actual formation of the NC. The
merging process does significantly alter the properties of the NC (mass,
morphology, star formation history), also quenching the on-going local star
formation activity, thus leading to interesting observational diagnostics for
the physical origin of NCs. A population of lower mass clusters co-exist during
the simulation, but these are either destroyed via tidal forces, or have high
angular momentum preventing them to interact with the NC and contribute to its
growth. The proposed updated scenario emphasises the role of gas reservoirs
associated with the densest star clusters formed in a gas-rich low-mass galaxy.


title: Plasma Turbulence in the Scrape-off Layer of the ISTTOK Tokamak

abstract:
  The properties of plasma turbulence in a poloidally limited scrape-off layer
(SOL) are addressed, with focus on ISTTOK, a large aspect ratio tokamak with a
circular cross section. Theoretical investigations based on the drift-reduced
Braginskii equations are carried out through linear calculations and non-linear
simulations, in two- and three-dimensional geometries. The linear instabilities
driving turbulence and the mechanisms that set the amplitude of turbulence as
well as the SOL width are identified. A clear asymmetry is shown to exist
between the low-field and the high-field sides of the machine. A comparison
between experimental measurements and simulation results is presented.


title:
Analysis of multiscale integrators for multiple attractors and
  irreversible Langevin samplers

abstract:
  We study multiscale integrator numerical schemes for a class of stiff
stochastic differential equations (SDEs). We consider multiscale SDEs with
potentially multiple attractors that behave as diffusions on graphs as the
stiffness parameter goes to its limit. Classical numerical discretization
schemes, such as the Euler-Maruyama scheme, become unstable as the stiffness
parameter converges to its limit and appropriate multiscale integrators can
correct for this. We rigorously establish the convergence of the numerical
method to the related diffusion on graph, identifying the appropriate choice of
discretization parameters. Theoretical results are supplemented by numerical
studies on the problem of the recently developing area of introducing
irreversibility in Langevin samplers in order to accelerate convergence to
equilibrium.


title: SurfCuit: Surface Mounted Circuits on 3D Prints

abstract:
  We present, SurfCuit, a novel approach to design and construction of electric
circuits on the surface of 3D prints. Our surface mounting technique allows
durable construction of circuits on the surface of 3D prints. SurfCuit does not
require tedious circuit casing design or expensive set-ups, thus we can
expedite the process of circuit construction for 3D models. Our technique
allows the user to construct complex circuits for consumer-level desktop fused
decomposition modeling (FDM) 3D printers. The key idea behind our technique is
that FDM plastic forms a strong bond with metal when it is melted. This
observation enables construction of a robust circuit traces using copper tape
and soldering. We also present an interactive tool to design such circuits on
arbitrary 3D geometry. We demonstrate the effectiveness of our approach through
various actual construction examples.


title: Strict Convexity of the Surface Tension for Non-convex Potentials

abstract:
  We study gradient models on the lattice $\mathbb{Z}^d$ with non-convex
interactions. These Gibbs fields (lattice models with continuous spin) emerge
in various branches of physics and mathematics. In quantum field theory they
appear as massless field theories. Even though our motivation stems from
considering vector valued fields as displacements for atoms of crystal
structures and the study of the Cauchy-Born rule for these models, our
attention here is mostly devoted to interfaces, with the gradient field as an
\emph{effective} interface interaction. In this case we prove the strict
convexity of the surface tension (interface free energy) for low temperatures
and sufficiently small interface tilts using muli-scale (renormalisation group
analysis) techniques following the approach of Brydges and coworkers
\cite{B07}. This is a complement to the study of the high temperature regime in
\cite{CDM09} and it is an extension of Funaki and Spohn's result \cite{FS97}
valid for strictly convex interactions.


title:
NbS$_{3}$: A unique quasi one-dimensional conductor with three charge
  density wave transitions

abstract:
  Through transport, compositional and structural studies, we review the
features of the charge-density wave (CDW) conductor of NbS$_{3}$ (phase II). We
highlight three central results: 1) In addition to the previously reported CDW
transitions at $T_{P1}$ = 360\,K and $T_{P2}$ = 150\,K, another CDW transition
occurs at a much higher temperature $T_{P0}$ = 620-650\,K; evidence for the
non-linear conductivity of this CDW is presented. 2) We show that CDW
associated with the $T_{P2}$ - transition arises from S vacancies acting as
donors. Such a CDW transition has not been observed before. 3) We show
exceptional coherence of the $T_{P1}$-CDW at room-temperature. Additionally, we
report on the effects of uniaxial strain on the CDW transition temperatures and
transport.


title: Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum

abstract:
  We construct a new class of 4-dimensional z=2 Lifshitz black branes that have
a nonzero linear momentum. These are solutions of an Einstein-Proca-dilaton
model that can be obtained by Scherk-Schwarz circle reduction of AdS_5 gravity
coupled to a free real scalar field. The boundary of a bulk Lifshitz space-time
is a Newton-Cartan geometry. We show that the fluid dual to the moving Lifshitz
black brane leads to a novel form of Lifshitz hydrodynamics on a Newton-Cartan
space-time. Since the linear momentum of the black brane cannot be obtained by
a boost transformation the velocity of the fluid or rather, by boundary
rotational invariance, its magnitude plays the role of a chemical potential.
The conjugate dual variable is mass density. The Lifshitz perfect fluid can be
thought of as arising from a Schroedinger perfect fluid with broken particle
number symmetry.


title: Solving congruence equations using Bernstein forms

abstract:
  We present a subdivision method to solve systems of congruence equations.
This method is inspired in a subdivision method, based on Bernstein forms, to
solve systems of polynomial inequalities in several variables and arbitrary
degrees. The proposed method is exponential in the number of variables.


title:
Individual Differences in Dynamic Functional Brain Connectivity Across
  the Human Lifespan

abstract:
  Individual differences in brain functional networks may be related to complex
personal identifiers, including health, age, and ability. Understanding and
quantifying these differences is a necessary first step towards developing
predictive methods derived from network topology. Here, we present a method to
quantify individual differences in brain functional dynamics by applying
hypergraph analysis, a method from dynamic network theory. Using a summary
metric derived from the hypergraph formalism---hypergraph cardinality---we
investigate individual variations in two separate and complementary data sets.
The first data set ("multi-task") consists of 77 individuals engaging in four
consecutive cognitive tasks. We observed that hypergraph cardinality exhibits
variation across individuals while remaining consistent within individuals
between tasks; moreover, one of the memory tasks evinced a marginally
significant correspondence between hypergraph cardinality and age. This finding
motivated a similar analysis of the second data set ("age-memory"), in which 95
individuals of varying ages performed a memory task with a similar structure to
the multi-task memory task. With the increased age range in the age-memory data
set, the correlation between hypergraph cardinality and age correspondence
becomes significant. We discuss these results in the context of the well-known
finding linking age with network structure, and suggest that age-related
changes in brain function can be better understood by taking an integrative
approach that incorporates information about the dynamics of functional
interactions.


title:
Nonlocality and dynamic response of Majorana states in fermionic
  superfluids

abstract:
  We suggest a microscopic model describing the nonlocal ac response of a pair
of Majorana states in fermionic superfluids beyond the tunneling approximation.
The time-dependent perturbations of quasiparticle transport are shown to excite
finite period beating of the wavefunction between the distant Majorana states.
We propose an experimental test to measure the characteristic time scales of
quasiparticle transport through the pair of Majorana states defining, thus,
quantitative characteristics of nonlocality known to be a generic feature of
Majorana particles.


title:
Efficient resonance computations for Helmholtz problems based on a
  Dirichlet-to-Neumann map

abstract:
  We present an efficient procedure for computing resonances and resonant modes
of Helmholtz problems posed in exterior domains. The problem is formulated as a
nonlinear eigenvalue problem (NEP), where the nonlinearity arises from the use
of a Dirichlet-to-Neumann map, which accounts for modeling unbounded domains.
We consider a variational formulation and show that the spectrum consists of
isolated eigenvalues of finite multiplicity that only can accumulate at
infinity. The proposed method is based on a high order finite element
discretization combined with a specialization of the Tensor Infinite Arnoldi
method. Using Toeplitz matrices, we show how to specialize this method to our
specific structure. In particular we introduce a pole cancellation technique in
order to increase the radius of convergence for computation of eigenvalues that
lie close to the poles of the matrix-valued function. The solution scheme can
be applied to multiple resonators with a varying refractive index that is not
necessarily piecewise constant. We present two test cases to show stability,
performance and numerical accuracy of the method. In particular the use of a
high order finite element discretization together with TIAR results in an
efficient and reliable method to compute resonances.


title: A Joint Typicality Approach to Algebraic Network Information Theory

abstract:
  This paper presents a joint typicality framework for encoding and decoding
nested linear codes for multi-user networks. This framework provides a new
perspective on compute-forward within the context of discrete memoryless
networks. In particular, it establishes an achievable rate region for computing
the weighted sum of nested linear codewords over a discrete memoryless
multiple-access channel (MAC). When specialized to the Gaussian MAC, this rate
region recovers and improves upon the lattice-based compute-forward rate region
of Nazer and Gastpar, thus providing a unified approach for discrete memoryless
and Gaussian networks. Furthermore, this framework can be used to shed light on
the joint decoding rate region for compute-forward, which is considered an open
problem. Specifically, this work establishes an achievable rate region for
simultaneously decoding two linear combinations of nested linear codewords from
K senders.


title: Fully-Convolutional Siamese Networks for Object Tracking

abstract:
  The problem of arbitrary object tracking has traditionally been tackled by
learning a model of the object's appearance exclusively online, using as sole
training data the video itself. Despite the success of these methods, their
online-only approach inherently limits the richness of the model they can
learn. Recently, several attempts have been made to exploit the expressive
power of deep convolutional networks. However, when the object to track is not
known beforehand, it is necessary to perform Stochastic Gradient Descent online
to adapt the weights of the network, severely compromising the speed of the
system. In this paper we equip a basic tracking algorithm with a novel
fully-convolutional Siamese network trained end-to-end on the ILSVRC15 dataset
for object detection in video. Our tracker operates at frame-rates beyond
real-time and, despite its extreme simplicity, achieves state-of-the-art
performance in multiple benchmarks.


title: Experiment Simulation Configurations Used in DUNE CDR

abstract:
  The LBNF/DUNE CDR describes the proposed physics program and experimental
design at the conceptual design phase. Volume 2, entitled The Physics Program
for DUNE at LBNF, outlines the scientific objectives and describes the physics
studies that the DUNE collaboration will perform to address these objectives.
The long-baseline physics sensitivity calculations presented in the DUNE CDR
rely upon simulation of the neutrino beam line, simulation of neutrino
interactions in the far detector, and a parameterized analysis of detector
performance and systematic uncertainty. The purpose of this posting is to
provide the results of these simulations to the community to facilitate
phenomenological studies of long-baseline oscillation at LBNF/DUNE.
Additionally, this posting includes GDML of the DUNE single-phase far detector
for use in simulations. DUNE welcomes those interested in performing this work
as members of the collaboration, but also recognizes the benefit of making
these configurations readily available to the wider community.


title:
A General-Purpose Machine Learning Framework for Predicting Properties
  of Inorganic Materials

abstract:
  A very active area of materials research is to devise methods that use
machine learning to automatically extract predictive models from existing
materials data. While prior examples have demonstrated successful models for
some applications, many more applications exist where machine learning can make
a strong impact. To enable faster development of machine-learning-based models
for such applications, we have created a framework capable of being applied to
a broad range of materials data. Our method works by using a chemically diverse
list of attributes, which we demonstrate are suitable for describing a wide
variety of properties, and a novel method for partitioning the data set into
groups of similar materials in order to boost the predictive accuracy. In this
manuscript, we demonstrate how this new method can be used to predict diverse
properties of crystalline and amorphous materials, such as band gap energy and
glass-forming ability.


title: Proximity Operators of Discrete Information Divergences

abstract:
  Information divergences allow one to assess how close two distributions are
from each other. Among the large panel of available measures, a special
attention has been paid to convex $\varphi$-divergences, such as
Kullback-Leibler, Jeffreys-Kullback, Hellinger, Chi-Square, Renyi, and
I$_{\alpha}$ divergences. While $\varphi$-divergences have been extensively
studied in convex analysis, their use in optimization problems often remains
challenging. In this regard, one of the main shortcomings of existing methods
is that the minimization of $\varphi$-divergences is usually performed with
respect to one of their arguments, possibly within alternating optimization
techniques. In this paper, we overcome this limitation by deriving new
closed-form expressions for the proximity operator of such two-variable
functions. This makes it possible to employ standard proximal methods for
efficiently solving a wide range of convex optimization problems involving
$\varphi$-divergences. In addition, we show that these proximity operators are
useful to compute the epigraphical projection of several functions of practical
interest. The proposed proximal tools are numerically validated in the context
of optimal query execution within database management systems, where the
problem of selectivity estimation plays a central role. Experiments are carried
out on small to large scale scenarios.


title: Heights on square of modular curves

abstract:
  We develop a strategy for bounding from above the height of rational points
of modular curves with values in number fields, by functions which are
polynomial in the curve's level. Our main technical tools come from effective
Arakelov descriptions of modular curves and jacobians. We then fulfill this
program in the following particular case:
  If $p$ is a not-too-small prime number, let $X_0 (p )$ be the classical
modular curve of level $p$ over $\bf Q$. Assume Brumer's conjecture on the
dimension of winding quotients of $J_0 (p)$. We prove that there is a function
$b(p)=O(p^{5} \log p )$ (depending only on $p$) such that, for any quadratic
number field $K$, the $j$-height of points in $X_0 (p ) (K)$ which are not
lifts of elements of $X_0^+ (p) ({\bf Q} )$, is less or equal to $b(p)$.


title:
Ultra-low power threshold for laser induced changes in optical
  properties of 2D Molybdenum dichalcogenides

abstract:
  The optical response of traditional semiconductors depends on the laser
excitation power used in experiments. For two-dimensional (2D) semiconductors,
laser excitation effects are anticipated to be vastly different due to
complexity added by their ultimate thinness, high surface to volume ratio, and
laser-membrane interaction effects. We show in this article that under laser
excitation the optical properties of 2D materials undergo irreversible changes.
Most surprisingly these effects take place even at low steady state excitation,
which is commonly thought to be non-intrusive. In low temperature
photoluminescence (PL) we show for monolayer (ML) MoSe2 samples grown by
different techniques that laser treatment increases significantly the trion
(i.e. charged exciton) contribution to the emission compared to the neutral
exciton emission. Comparison between samples exfoliated onto different
substrates shows that laser induced doping is more efficient for ML MoSe2 on
SiO2/Si compared to h-BN and gold. For ML MoS2 we show that exposure to laser
radiation with an average power in the $\mu$W/$\mu$m$^2$ range does not just
increase the trion-to-exciton PL emission ratio, but may result in the
irreversible disappearance of the neutral exciton PL emission and a shift of
the main PL peak to lower energy.


title: Scalar-mediated double beta decay and LHC

abstract:
  The decay rate of neutrinoless double beta decay could be dominated by
short-range diagrams involving heavy scalar particles ("topology-II" diagrams).
Examples are diagrams with diquarks, leptoquarks or charged scalars. Here, we
compare the discovery potential for lepton number violating signals at the LHC
with constraints from dijet and leptoquark searches and the sensitivity of
double beta decay experiments, using three example models. We note that already
with 20/fb the LHC will test interesting parts of the parameter space of these
models, not excluded by current limits on double beta decay.


title:
Cosmological histories from the Friedmann equation: The universe as a
  particle

abstract:
  In this note, we discuss how possible expansion histories of the universe can
be inferred in a simple way, for arbitrary energy contents. No new physical
results are obtained, but the goal is rather to discuss an alternative way of
writing the Friedmann equation in order to facilitate an intuitive
understanding of the possible solutions; for students and researchers alike. As
has been noted in passing by others, this specific form of the Friedmann
equation allows us to view the universal expansion as a particle rolling along
a frictionless track. Specific examples depicted include the current
concordance cosmological model as well as a stable static universal model.


title: Neutrinos: the Real Nature of Dark Matter After All?

abstract:
  What exactly is Dark Matter? New theories for what really constitutes Dark
Matter appear to make the news headlines every week. At a slower pace, these
theories are slowly being eliminated. We revisit this scientific thriller and
make the case that condensed neutrino matter is a leading suspect. We provide a
forensic discussion of some subtle evidence and show that independent
experimental results due out in 2019 from the KATRIN experiment will either be
the definitive result or eliminate condensed neutrinos as a Dark Matter
candidate.


title:
Distinguishing Between Formation Channels for Binary Black Holes with
  LISA

abstract:
  The recent detections of GW150914 and GW151226 imply an abundance of
stellar-mass binary-black-hole mergers in the local universe. While
ground-based gravitational-wave detectors are limited to observing the final
moments before a binary merges, space-based detectors, such as the Laser
Interferometer Space Antenna (LISA), can observe binaries at lower orbital
frequencies where such systems may still encode information about their
formation histories. In particular, the orbital eccentricity and mass of binary
black holes in the LISA frequency band can be used together to discriminate
between binaries formed in isolation in galactic fields and those formed in
dense stellar environments such as globular clusters. In this letter, we
explore the orbital eccentricity and mass of binary-black-hole populations as
they evolve through the LISA frequency band. Overall we find that there are two
distinct populations discernible by LISA. We show that up to ~90% of binaries
formed either dynamically or in isolation have eccentricities measurable by
LISA. Finally, we note how measured eccentricities of low-mass binary black
holes evolved in isolation could provide detailed constraints on the physics of
black-hole natal kicks and common-envelope evolution.


title: Chemotaxis of artificial microswimmers in active density waves

abstract:
  Living microorganisms are capable of a tactic response to external stimuli by
swimming towards or away from the stimulus source; they do so by adapting their
tactic signal transduction pathways to the environment. Their self-motility
thus allows them to swim against a traveling tactic wave, whereas a simple
fore-rear asymmetry argument would suggest the opposite. Their biomimetic
counterpart, the artificial microswimmers, also propel themselves by harvesting
kinetic energy from an active medium, but, in contrast, lack the adaptive
capacity. Here we investigate the transport of artificial swimmers subject to
traveling active waves and show, by means of analytical and numerical methods,
that self-propelled particles can actually diffuse in either direction with
respect to the wave, depending on its speed and waveform. Moreover, chiral
swimmers, which move along spiraling trajectories, may diffuse preferably in a
direction perpendicular to the active wave. Such a variety of tactic responses
is explained by the modulation of the swimmer's diffusion inside traveling
active pulses.


title: Neural Network-based Word Alignment through Score Aggregation

abstract:
  We present a simple neural network for word alignment that builds source and
target word window representations to compute alignment scores for sentence
pairs. To enable unsupervised training, we use an aggregation operation that
summarizes the alignment scores for a given target word. A soft-margin
objective increases scores for true target words while decreasing scores for
target words that are not present. Compared to the popular Fast Align model,
our approach improves alignment accuracy by 7 AER on English-Czech, by 6 AER on
Romanian-English and by 1.7 AER on English-French alignment.


title: Driven inelastic Maxwell gas in one dimension

abstract:
  A lattice version of the driven inelastic Maxwell gas is studied in one
dimension with periodic boundary conditions. Each site $i$ of the lattice is
assigned with a scalar `velocity', $v_i$. Nearest neighbors on the lattice
interact, with a rate $\tau_c^{-1}$, according to an inelastic collision rule.
External driving, occurring with a rate $\tau_w^{-1}$, sustains a steady state
in the system. A set of closed coupled equations for the evolution of the
variance and the two-point correlation is found. Steady state values of the
variance, as well as spatial correlation functions, are calculated. It is shown
exactly that the correlation function decays exponentially with distance, and
the correlation length for a large system is determined. Furthermore, the
spatio-temporal correlation $C(x,t)=\langle v_i(0) v_{i+x} (t)\rangle$ can also
be obtained. We find that there is an interior region $-x^* < x < x^*$, where
$C(x,t)$ has a time-dependent form, whereas in the exterior region $|x| > x^*$,
the correlation function remains the same as the initial form. $C(x,t)$
exhibits second order discontinuity at the transition points $x=\pm x^*$ and
these transition points move away from the $x=0$ with a constant speed.


title: On the evolution of the magnetic field of Ap star $\alpha^2$ CVn

abstract:
  New high-precision measurements of the longitudinal magnetic field of Ap
stars suggest the existence of secular intrinsic variations of the global
magnetic field in some stars. We argue that such changes are apparent in the Ap
star $\alpha^2$ CVn in the time scale of $\sim$ 10 years, which results from
the analysis of literature data. Therefore, such an observation implies, that
the rate of magnetic field evolution of Ap stars is much higher than was
previously thought.


title: A 3D Printed Toolbox for Opto-Mechanical Components

abstract:
  Nowadays is very common to find headlines in the media where it is stated
that 3D printing is a technology called to change our lives in the near future.
For many authors, we are living in times of a third industrial revolution.
Howerver, we are currently in a stage of development where the use of 3D
printing is advantageous over other manufacturing technologies only in rare
scenarios. Fortunately, scientific research is one of them. Here we present the
development of a set of opto-mechanical components that can be built easily
using a 3D printer based on Fused Filament Fabrication (FFF) and parts that can
be found on any hardware store. The components of the set presented here are
highly customizable, low-cost, require a short time to be fabricated and offer
a performance that compares favorably with respect to low-end commercial
alternatives.


title:
Architecture and Algorithms for Privacy Preserving Thermal Inertial Load
  Management by A Load Serving Entity

abstract:
  Motivated by the growing importance of demand response in modern power
system's operations, we propose an architecture and supporting algorithms for
privacy preserving thermal inertial load management as a service provided by
the load serving entity (LSE). We focus on an LSE managing a population of its
customers' air conditioners, and propose a contractual model where the LSE
guarantees quality of service to each customer in terms of keeping their indoor
temperature trajectories within respective bands around the desired individual
comfort temperatures. We show how the LSE can price the contracts
differentiated by the flexibility embodied by the width of the specified bands.
We address architectural questions of (i) how the LSE can strategize its energy
procurement based on price and ambient temperature forecasts, (ii) how an LSE
can close the real time control loop at the aggregate level while providing
individual comfort guarantees to loads, without ever measuring the states of an
air conditioner for privacy reasons. Control algorithms to enable our proposed
architecture are given, and their efficacy is demonstrated on real data.


title: Cosmological Perturbations without Inflation

abstract:
  A particularly attractive feature of inflation is that quantum fluctuations
in the inflaton field may have seeded inhomogeneities in the cosmic microwave
background (CMB) and the formation of large-scale structure. In this paper, we
demonstrate that a scalar field with zero active mass, i.e., with an equation
of state rho+3p=0, where rho and p are its energy density and pressure,
respectively, could also have produced an essentially scale-free fluctuation
spectrum, though without inflation. This alternative mechanism is based on the
Hollands-Wald concept of a minimum wavelength for the emergence of quantum
fluctuations into the semi-classical universe. A cosmology with zero active
mass does not have a horizon problem, so it does not need inflation to solve
this particular (non) issue. In this picture, the 1-10 degree fluctuations in
the CMB correspond almost exactly to the Planck length at the Planck time,
firmly supporting the view that CMB observations may already be probing
trans-Planckian physics.


title: Magnetic flux stabilizing thin accretion disks

abstract:
  We calculate the minimal amount of large-scale poloidal magnetic field that
has to thread the inner, radiation-over-gas pressure dominated region of a thin
disk for its thermal stability. Such a net field amplifies the magnetization of
the saturated turbulent state and makes it locally stable. For a $10 M_\odot$
black hole the minimal magnetic flux is $10^{24}(\dot M/\dot M_{\rm
Edd})^{20/21}\,\rm G\cdot cm^{2}$. This amount is compared with the amount of
uniform magnetic flux that can be provided by the companion star -- estimated
to be in the range $10^{22}-10^{24}\,\rm G\cdot cm^2$. If accretion rate is
large enough, the companion is not able to provide the required amount and such
a system, if still sub-Eddington, must be thermally unstable. The peculiar
variability of GRS 1915+105, an X-ray binary with the exceptionally high BH
mass and near-Eddington luminosity, may result from the shortage of large scale
poloidal field of uniform polarity.


title:
Infinite Dimensional Multipliers and Pontryagin Principles for
  Discrete-Time Problems

abstract:
  The aim of this paper is to provide improvments to Pontryagin principles in
infinite-horizon discrete-time framework when the space of states and of space
of controls are infinite-dimensional. We use the method of reduction to finite
horizon and several functional-analytic lemmas to realize our aim.


title: Unification in One Dimension

abstract:
  A physical theory of the world is presented under the unifying principle that
all of nature is laid out before us and experienced through the passage of
time. The one-dimensional progression in time is opened out into a
multi-dimensional mathematically consistent flow, with the simplicity of the
former giving rise to symmetries of the latter. The act of perception
identifies an extended spacetime arena of intermediate dimension, incorporating
the symmetry of geometric spatial rotations, against which physical objects are
formed and observed. The spacetime symmetry is contained as a subgroup of, and
provides a natural breaking mechanism for, the higher general symmetry of time.
It will be described how the world of gravitation and cosmology, as well as
quantum theory and particle physics, arises from these considerations.


title:
Green's Function of a General PT-Symmetric Non-Hermitian Non-central
  Potential

abstract:
  We study the path integral solution of a system of particle moving in certain
class of PT symmetric non-Hermitian and non-central potential. The Hamil-
tonian of the system is converted to a separable Hamiltonian of Liouville type
in parabolic coordinates and is further mapped into a Hamiltonian corresponding
to two 2-dimensional simple harmonic oscillators (SHOs). Thus the explicit
Green's functions for a general non-central PT symmetric non hermitian
potential are cal- culated in terms of that of 2d SHOs. The entire spectrum for
this three dimensional system is shown to be always real leading to the fact
that the system remains in unbroken PT phase all the time.


title:
Relations between the baryon quantum numbers of the Standard Model and
  of the rotating neutrino model

abstract:
  We discuss the common features between the Standard Model taxonomy of
particles, based on electric charge, strangeness and isospin, and the taxonomy
emerging from the key structural elements of the rotating neutrino model, which
describes baryons as bound states formed by three highly relativistic
electrically polarized neutrinos forming a symmetric ring rotating around a
central electrically charged or polarized lepton. It is shown that the two
taxonomies are fully compatible with each other.


title:
Quadrupole-Driven Non-Fermi Liquid and Magnetic-Field Induced Heavy
  Fermion States in a Non-Kramers Doublet System

abstract:
  Orbital degrees of freedom in condensed matters could play important roles in
forming a variety of exotic electronic states by interacting with conduction
electrons. In 4f electron systems, because of strong intra-atomic spin-orbit
coupling, an orbitally degenerate state inherently carries quadrupolar degrees
of freedom. The present work has focussed on a purely quadrupole-active system
PrIr2Zn20 showing superconductivity in the presence of an antiferroquadrupole
order at TQ = 0.11 K. We observed non-Fermi liquid (NFL) behaviors emerging in
the electrical resistivity and the 4f contribution to the specific heat, C_4f,
in the paramagnetic state at T > TQ. Moreover, in magnetic fields below 6 T,
all data set of the electrical resistivity and C_4f(T) are well scaled with
characteristic temperatures T0's. This is the first observation of the NFL
state in the nonmagnetic quadrupole-active system, whose origin is
intrinsically different from that observed in the vicinity of the conventional
quantum critical point. It implies possible formation of a quadrupole Kondo
lattice resulting from hybridization between the quadrupoles and the conduction
electrons. Below 0.13 K, the electrical resistivity and C_4f(T) exhibit
anomalies as B approaches 5 T. This is the manifestation of a field-induced
crossover toward a Fermi-liquid ground state in the quadrupole Kondo lattice.


title: The Electroweak Sudakov approximation in SHERPA

abstract:
  As experimental particle physics becomes more and more precise, it is
becoming increasingly important for Monte Carlo simulations to improve the
precision of their predictions. In terms of the hard matrix element, this means
calculating to a higher order in perturbation theory. To be consistent this
requires both NNLO QCD corrections and NLO EW corrections to be included. There
are also interference effects between these processes that are not simple to
handle consistently. For a broad description of the behaviour of NLO EW
corrections at high energies, the Sudakov logarithmic approach provides a good
approximation, and is much less computationally expensive than the full
calculation. The implementation of EW Sudakov logarithms within the SHERPA
program are outlined here along with some initial results. As well as this, an
overview of the status of full NLO EW computations with SHERPA is presented.


title:
Diagonal and off-diagonal susceptibilities of conserved quantities in
  relativistic heavy-ion collisions

abstract:
  Susceptibilities of conserved quantities, such as baryon number, strangeness
and electric charge are sensitive to the onset of quantum chromodynamics (QCD)
phase transition and are expected to provide information on the matter produced
in heavy-ion collision experiments. A comprehensive study of the second-order
diagonal susceptibilities and cross correlations has been made within a thermal
model approach of the hadron resonance gas (HRG) model as well as with a
hadronic transport model, UrQMD. We perform a detailed analysis of the effect
of detector acceptances and choice of particle species in the experimental
measurements of the susceptibilities for heavy-ion collisions corresponding to
\sNN = 4 GeV to 200 GeV. The transverse momentum cutoff dependence of suitably
normalised susceptibilities are proposed as useful observables to probe the
properties of the medium at freezeout.


title: Arbitrary large number of non trivial rescaling limits

abstract:
  We construct a family of rational map sequences providing an arbitrary large
number of dynamically independent rescaling limits of non monomial type. From
this, we deduce the existence of a family of rational maps providing a non
trivial dynamics on the Berkovich projective line over the field of formal
Puiseux series.


title: Upper bounds for sunflower-free sets

abstract:
  A collection of $k$ sets is said to form a $k$-sunflower, or $\Delta$-system,
if the intersection of any two sets from the collection is the same, and we
call a family of sets $\mathcal{F}$ sunflower-free if it contains no
sunflowers. Following the recent breakthrough of Ellenberg and Gijswijt and
Croot, Lev and Pach we apply the polynomial method directly to
Erd\H{o}s-Szemer\'{e}di sunflower problem and prove that any sunflower-free
family $\mathcal{F}$ of subsets of $\{1,2,\dots,n\}$ has size at most \[
|\mathcal{F}|\leq3n\sum_{k\leq
n/3}\binom{n}{k}\leq\left(\frac{3}{2^{2/3}}\right)^{n(1+o(1))}. \] We say that
a set $A\subset(\mathbb Z/D \mathbb Z)^{n}=\{1,2,\dots,D\}^{n}$ for $D>2$ is
sunflower-free if every distinct triple $x,y,z\in A$ there exists a coordinate
$i$ where exactly two of $x_{i},y_{i},z_{i}$ are equal. Using a version of the
polynomial method with characters
$\chi:\mathbb{Z}/D\mathbb{Z}\rightarrow\mathbb{C}$ instead of polynomials, we
show that any sunflower-free set $A\subset(\mathbb Z/D \mathbb Z)^{n}$ has size
\[ |A|\leq c_{D}^{n} \] where $c_{D}=\frac{3}{2^{2/3}}(D-1)^{2/3}$. This can be
seen as making further progress on a possible approach to proving the
Erd\H{o}s-Rado sunflower conjecture, which by the work of Alon, Sphilka and
Umans is equivalent to proving that $c_{D}\leq C$ for some constant $C$
independent of $D$.


title:
Influence of quantum conservation laws on particle production in hadron
  collisions

abstract:
  Conservation laws strongly influence production of particles in high-energy
particle collisions. Effects connected to these mechanisms were studied in
details using correlation techniques in \ee\ collisions. At the time, models
were tuned to correctly reproduce the measurements. Similar studies for
hadron-hadron collisions have never been performed, until recent ALICE
measurements. ALICE has reported on studies of untriggered two-particle angular
correlations of identified particles ($\pi$, $K$, and p) measured in pp
collisions at center-of-mass energy of $\sqrt{s}=$ 7 TeV. Those preliminary
results confirm that also in hadron-hadron collisions, at much higher energies,
conservation laws strongly influence the shape of the correlation functions for
different particle types and must be taken into account while analysing the
data. Moreover, they show that the contemporary models (PYTHIA, PHOJET) no
longer reproduce the experimental data well.


title: Ordering as privileged information

abstract:
  We propose to accelerate the rate of convergence of the pattern recognition
task by directly minimizing the variance diameters of certain hypothesis
spaces, which are critical quantities in fast-convergence results.We show that
the variance diameters can be controlled by dividing hypothesis spaces into
metric balls based on a new order metric. This order metric can be minimized as
an ordinal regression problem, leading to a LUPI (Learning Using Privileged
Information) application where we take the privileged information as some
desired ordering, and construct a faster-converging hypothesis space by
empirically restricting some larger hypothesis space according to that
ordering. We give a risk analysis of the approach. We discuss the difficulties
with model selection and give an innovative technique for selecting multiple
model parameters. Finally, we provide some data experiments.


title:
Impurity-driven intervalley spin-flip scattering-induced 2D spin
  relaxation in silicon

abstract:
  Through the theoretical study of electron spin lifetime in the 2DEG of doped
Si, we highlight a dominant spin relaxation mechanism induced by the impurity
central-cell potential near an interface via intervalley electron scattering.
At low temperatures and with modest doping, this Yafet spin flip mechanism can
become much more important than the Dyakonov-Perel spin relaxation indcued by
the structural Rashba spin-orbit coupling field. As the leading-order
impurity-induced spin flip happens only between two non-opposite valleys in Si,
two-dimensional electron gas (2DEG) systems in Si MOSFETs or SiGe
heterostructures are a natural platform to test and utilize this spin
relaxation mechanism due to the valley splitting near the interface and its
tunability by electrical gating or applied stress. Our proposed new spin
relaxation mechanism may explain a part of the spin relaxation contribution to
Si-based 2DEG systems.


title: Bypass rewiring and robustness of complex networks

abstract:
  A concept of bypass rewiring is introduced and random bypass rewiring is
analytically and numerically investigated with simulations. Our results show
that bypass rewiring makes networks robust against removal of nodes including
random failures and attacks. In particular, random bypass rewiring connects all
nodes except the removed nodes on an even degree infinite network and makes the
percolation threshold 0 for arbitrary occupation probabilities. In our example,
the even degree network is more robust than the original network with random
bypass rewiring while the original network is more robust than the even degree
networks without random bypass. We propose a greedy bypass rewiring algorithm
which guarantees the maximum size of the largest component at each step,
assuming which node will be removed next is unknown. The simulation result
shows that the greedy bypass rewiring algorithm improves the robustness of the
autonomous system of the Internet under attacks more than random bypass
rewiring.