title: Dissipation-assisted quantum correlations in coupled qubits

abstract:
  We theoretically investigate a possibility to establish multi-qubit quantum
correlations in one-dimensional chains of qubits. We combine a reservoir
engineering strategy with coherent dynamics to generate multi-qubit entangled
states. We find that an interplay between the coherent and incoherent dynamics
result in the generation of stable (time-independent) many-body entangled
steady states. Our results will be relevant in the context of the dissipative
generation of quantum states, with applications in short-distance quantum
computation and for exploring the emergence of collective phenomena in
many-body open quantum systems.


title:
Poisson-Boltzmann study of the effective electrostatic interaction
  between colloids at an electrolyte interface

abstract:
  The effective electrostatic interaction between a pair of colloids, both of
them located close to each other at an electrolyte interface, is studied by
employing the full, nonlinear Poisson-Boltzmann (PB) theory within classical
density functional theory. Using a simplified yet appropriate model, all
contributions to the effective interaction are obtained exactly, albeit
numerically. The comparison between our results and those obtained within
linearized PB theory reveals that the latter overestimates these contributions
significantly at short inter-particle separations. Whereas the surface
contributions to the linear and the nonlinear PB results differ only
quantitatively, the line contributions show qualitative differences at short
separations. Moreover, a dependence of the line contribution on the solvation
properties of the two adjacent fluids is found, which is absent within the
linear theory. Our results are expected to enrich the understanding of
effective interfacial interactions between colloids.


title: Perspective on the origin of hadron masses

abstract:
  The energy-momentum tensor in chiral QCD, $T_{\mu\nu}$, exhibits an anomaly,
viz. $\Theta_0 :=T_{\mu\mu} \neq 0$. Measured in the proton, this anomaly
yields $m_p^2$, where $m_p$ is the proton's mass; but, at the same time, when
computed in the pion, the answer is $m_\pi^2=0$. Any attempt to understand the
origin and nature of mass, and identify observable expressions thereof, must
explain and unify these two apparently contradictory results, which are
fundamental to the nature of our Universe. Given the importance of
Poincar\'e-invariance in modern physics, the utility of a frame-dependent
approach to this problem seems limited. That is especially true of any approach
tied to a rest-frame decomposition of $T_{\mu\nu}$ because a massless particle
does not possess a rest-frame. On the other hand, the dynamical chiral symmetry
breaking (DCSB) paradigm, connected with a Poincar\'e-covariant treatment of
the continuum bound-state problem, provides a straightforward, simultaneous
explanation of both these identities, and also a diverse array of predictions,
testable at existing and proposed facilities. From this perspective, $\langle
\pi| \Theta_0 |\pi \rangle =0$ owing to exact, symmetry-driven cancellations
which occur between one-body dressing effects and two-body-irreducible binding
interactions in any well-defined computation of the forward scattering
amplitude that defines this expectation value in the pseudoscalar meson. The
cancellation is incomplete in any other hadronic bound state, with a remainder
whose scale is set by the size of one-body dressing effects.


title:
Myocardial Architecture and Patient Variability in Clinical Patterns of
  Atrial Fibrillation

abstract:
  Atrial fibrillation (AF) increases the risk of stroke by a factor of four to
five and is the most common abnormal heart rhythm. The progression of AF with
age, from short self-terminating episodes to persistence, varies between
individuals and is poorly understood. An inability to understand and predict
variation in AF progression has resulted in less patient-specific therapy.
Likewise, it has been a challenge to relate the microstructural features of
heart muscle tissue (myocardial architecture) with the emergent temporal
clinical patterns of AF. We use a simple model of activation wavefront
propagation on an anisotropic structure, mimicking heart muscle tissue, to show
how variation in AF behaviour arises naturally from microstructural differences
between individuals. We show that the stochastic nature of progressive
transversal uncoupling of muscle strands (e.g., due to fibrosis or gap
junctional remodelling), as occurs with age, results in variability in AF
episode onset time, frequency, duration, burden and progression between
individuals. This is consistent with clinical observations. The uncoupling of
muscle strands can cause critical architectural patterns in the myocardium.
These critical patterns anchor micro-re-entrant wavefronts and thereby trigger
AF. It is the number of local critical patterns of uncoupling as opposed to
global uncoupling that determines AF progression. This insight may eventually
lead to patient specific therapy when it becomes possible to observe the
cellular structure of a patient's heart.


title: Critical size of ego communication networks

abstract:
  With the help of information and communication technologies, studies on the
overall social networks have been extensively reported recently. However,
investigations on the directed Ego Communication Networks (ECNs) remain
insufficient, where an ECN stands for a sub network composed of a centralized
individual and his/her direct contacts. In this paper, the directed ECNs are
built on the Call Detail Records (CDRs), which cover more than 7 million people
of a provincial capital city in China for half a year. Results show that there
is a critical size for ECN at about 150, above which the average emotional
closeness between ego and alters drops, the balanced relationship between ego
and network collapses, and the proportion of strong ties decreases. This paper
not only demonstrate the significance of ECN size in affecting its properties,
but also shows accordance with the "Dunbar's Number". These results can be
viewed as a cross-culture supportive evidence to the well-known Social Brain
Hypothesis (SBH).


title:
Small Cell Offloading Through Cooperative Communication in
  Software-Defined Heterogeneous Networks

abstract:
  To meet the ever-growing demand for a higher communicating rate and better
communication quality, more and more small cells are overlaid under the macro
base station (MBS) tier, thus forming the heterogeneous networks. Small cells
can ease the load pressure of MBS but lack of the guarantee of performance. On
the other hand, cooperation draws more and more attention because of the great
potential of small cell densification. Some technologies matured in wired
network can also be applied to cellular networks, such as Software-defined
networking (SDN). SDN helps simplify the structure of multi-tier networks. And
it's more reasonable for the SDN controller to implement cell coordination. In
this paper, we propose a method to offload users from MBSs through small cell
cooperation in heterogeneous networks. Association probability is the main
indicator of offloading. By using the tools from stochastic geometry, we then
obtain the coverage probabilities when users are associated with different
types of base stations (BSs). All the cell association and cooperation are
conducted by the SDN controller. Then on this basis, we compare the overall
coverage probabilities, achievable rate and energy efficiency with and without
cooperation. Numerical results show that small cell cooperation can offload
more users from MBS tier. It can also increase the system's coverage
performance. As small cells become denser, cooperation can bring more gains to
the energy efficiency of the network.


title: A generalization of POWERS-ST{\O}RMER inequality

abstract:
  Let $A,\;B$ be the positive semidefinite matrices. A matrix version of the
famous Powers-St{\o}rmer's inequality $$2Tr(A^\alpha B^{1-\alpha})\geq
Tr(A+B-|A-B|),\;\;\;0\leq\alpha\leq 1,$$ was proven by Audenaert et. al. We
establish a comparison of eigenvalues for the matrices $A^\alpha B^{1-\alpha}$
and $A+B-|A-B|, \; 0 \leq \alpha \leq 1,$ subsuming the Powers-St{\o}rmer's
inequality. We also prove several related norm inequalities.


title:
Uniform Regularity and Vanishing Viscosity Limit for the Nematic Liquid
  Crystal Flows in Three Dimensional Domain

abstract:
  In this paper, we investigate the uniform regularity and vanishing limit for
the incompressible nematic liquid crystal flows in three dimensional bounded
domain. It is shown that there exists a unique strong solution for the
incompressible nematic liquid crystal flows with boundary condition in a finite
time interval which is independent of the viscosity. The solution is uniformly
bounded in a conormal Sobolev space. Finally, we also study the convergence
rate of the viscous solutions to the inviscid ones.


title:
A fourth-order dispersive flow equation for closed curves on compact
  Riemann surfaces

abstract:
  A fourth-order dispersive flow equation for closed curves on the canonical
two-dimensional unit sphere arises in some contexts in physics and fluid
mechanics. In this paper, a geometric generalization of the sphere-valued model
is considered, where the solutions are supposed to take values in compact
Riemann surfaces. As a main results, time-local existence and the uniqueness of
a solution to the initial value problem is established under the assumption
that the sectional curvature of the Riemann surface is constant. The analytic
difficulty comes from the so-called loss of derivatives and the absence of the
local smoothing effect. The proof is based on the geometric energy method
combined with a kind of gauge transformation to eliminate the loss of
derivatives. Specifically, to show the uniqueness of the solution, the detailed
geometric analysis of the solvable structure for the equation is presented.


title:
Exact control of parity-time symmetry in periodically modulated
  nonlinear optical couplers

abstract:
  We propose a mechanism for realization of exact control of parity-time (PT)
symmetry by using a periodically modulated nonlinear optical coupler with
balanced gain and loss. It is shown that for certain appropriately chosen
values of the modulation parameters, we can construct a family of exact
analytical solutions for the two-mode equations describing the dynamics of such
nonlinear couplers. These exact solutions give explicit examples that allow us
to precisely manipulate the system from nonlinearity-induced symmetry breaking
to PT symmetry, thus providing an analytical approach to the all-optical signal
control in nonlinear PT-symmetric structures.


title:
The role of multiple soliton and breather interactions in generation of
  rogue waves: the mKdV framework

abstract:
  The role of multiple soliton and breather interactions in formation of very
high waves is disclosed within the framework of integrable modified Korteweg -
de Vries (mKdV) equation. Optimal conditions for the focusing of many solitons
are formulated explicitly. Namely, trains of ordered solitons with alternate
polarities evolve to huge strongly localized transient waves. The focused wave
amplitude is exactly the sum of the focusing soliton heights; the maximum wave
inherits the polarity of the fastest soliton in the train. The focusing of
several solitary waves or/and breathers may naturally occur in a soliton gas
and will lead to rogue-wave-type dynamics; hence it represents a new nonlinear
mechanism of rogue wave generation. The discovered scenario depends crucially
on the soliton polarities (phases), and thus cannot be taken into account by
existing kinetic theories. The performance of the soliton mechanism of rogue
wave generation is shown for the example of focusing mKdV equation, when
solitons possess 'frozen' phases (polarities), though the approach works in
other integrable systems which admit soliton and breather solutions.


title: Error Analysis of Lagrange Interpolation on Tetrahedrons

abstract:
  This paper describes the analysis of Lagrange interpolation errors on
tetrahedrons. In many textbooks, the error analysis of Lagrange interpolation
is conducted under geometric assumptions such as shape regularity or the
(generalized) maximum angle condition. In this paper, we present a new
estimation in which the error is bounded in terms of the diameter and projected
circumradius of the tetrahedron. Because we do not impose any geometric
restrictions on the tetrahedron itself, our error estimation may be applied to
any tetrahedralizations of domains including very thin tetrahedrons.


title: Pairing instabilities of Dirac composite fermions

abstract:
  Recently, a Dirac (particle-hole symmetric) description of composite fermions
in the half-filled quantum Hall system was proposed [D. T. Son, Phys. Rev. X 5,
031027 (2015)], and we study its possible consequences on BCS (Cooper) pairing
of composite fermions (CF's). One of the main consequences is the existence of
anisotropic states in single and bilayer systems, which was previously
suggested in Ref. [J. S. Jeong and K. Park, Phys. Rev. B 91, 195119 (2015)]. We
argue that in the half-filled single layer the gapped states may sustain
anisotropy, because isotropic pairings may coexist with anisotropic ones.
Furthermore, anisotropic pairings with addition of a particle-hole (PH)
symmetry breaking mass term may evolve into rotationally symmetric states, i.e.
Pfaffian states of Halperin-Lee-Read (HLR) ordinary CF's. On the basis of the
Dirac formalism, we argue that in the quantum Hall bilayer at total filling
one, with decreasing distance between layers weak pairing of p-wave paired CF's
is gradually transformed from Dirac to ordinary, HLR-like, with concomitant
decrease in the CF number. Global characterization of low-energy spectrum based
on the Dirac CF's agrees well with previous calculations performed by exact
diagonalization on a torus. Finally, we discuss features of Dirac formalism
when applied in this context.


title:
General Edgeworth expansions with applications to profiles of random
  trees

abstract:
  We prove an asymptotic Edgeworth expansion for the profiles of certain random
trees including binary search trees, random recursive trees and plane-oriented
random trees, as the size of the tree goes to infinity. All these models can be
seen as special cases of the one-split branching random walk for which we also
provide an Edgeworth expansion. These expansions lead to new results on mode,
width and occupation numbers of the trees, settling several open problems
raised in Devroye and Hwang [Ann. Appl. Probab. 16(2): 886--918, 2006], Fuchs,
Hwang and Neininger [Algorithmica, 46 (3--4): 367--407, 2006], and Drmota and
Hwang [Adv. in Appl. Probab., 37 (2): 321--341, 2005]. The aforementioned
results are special cases and corollaries of a general theorem: an Edgeworth
expansion for an arbitrary sequence of random or deterministic functions
$\mathbb L_n:\mathbb Z\to\mathbb R$ which converges in the mod-$\phi$-sense.
Applications to Stirling numbers of the first kind will be given in a separate
paper.


title: Does the velocity of light depend on the source movement?

abstract:
  Data from spacecrafts tracking exhibit many anomalies that suggest the
dependence of the speed of electromagnetic radiation with the motion of its
source. This dependence is different from that predicted from emission theories
that long ago have been demonstrated to be wrong. By relating the velocity of
light and the corresponding Doppler effect with the velocity of the source at
the time of detection, instead of the time of emission, it is possible to
explain quantitatively and qualitatively the spacecraft anomalies. Also, a
formulation of electromagnetism compatible with this conception is possible
(and also compatible with the known electromagnetic phenomena). Under this
theory the influence of the velocity of the source in the speed of light is
somewhat subtle in many practical situations and probably went unnoticed in
other phenomena.


title: Bound states in string nets

abstract:
  We discuss the emergence of bound states in the low-energy spectrum of the
string-net Hamiltonian in the presence of a string tension. In the ladder
geometry, we show that a single bound state arises either for a finite tension
or in the zero-tension limit depending on the theory considered. In the latter
case, we perturbatively compute the binding energy as a function of the total
quantum dimension. We also address this issue in the honeycomb lattice where
the number of bound states in the topological phase depends on the total
quantum dimension. Finally, the internal structure of these bound states is
analyzed in the zero-tension limit.


title: Fingerprint of Tsallis statistics in cosmic ray showers

abstract:
  We investigate the impact of the Tsallis non extensive statistics introduced
by intrinsic temperature fluctuations in p-Air ultra high energy interactions
on observables of cosmic ray showers, such as the slant depth of the maximum
Xmax and the muon number on the ground $n_{\mu}$. The results show that these
observables are significantly affected by temperature fluctuations and agree
qualitatively with the Heitler model predictions.


title:
Functional integral derivation of the kinetic equation of
  two-dimensional point vortices

abstract:
  We present a brief derivation of the kinetic equation describing the secular
evolution of point vortices in two-dimensional hydrodynamics, by relying on a
functional integral formalism. We start from Liouville's equation which
describes the exact dynamics of a two-dimensional system of point vortices. At
the order ${1/N}$, the evolution of the system is characterised by the first
two equations of the BBGKY hierarchy involving the system's 1-body distribution
function and its 1-body correlation function. Thanks to the introduction of
auxiliary fields, these two evolution constraints may be rewritten as a
functional integral. When functionally integrated over the 2-body correlation
function, this rewriting leads to a new constraint coupling the 1-body
distribution function and the two auxiliary fields. Once inverted, this
constraint provides, through a new route, the closed non-linear kinetic
equation satisfied by the 1-body distribution function. Such a method sheds new
lights on the origin of these kinetic equations complementing the traditional
derivation methods.


title:
Sparse domination theorem for multilinear singular integral operators
  with $L^{r}$-H\"ormander condition

abstract:
  In this note, we show that if $T$ is a multilinear singular integral operator
associated with a kernel satisfies the so-called multilinear
$L^{r}$-H\"ormander condition, then $T$ can be dominated by multilinear sparse
operators.


title: Some remarks on the structure of Lipschitz-free spaces

abstract:
  We give several structural results concerning the Lipschitz-free spaces
$\mathcal F(M)$, where $M$ is a metric space. We show that $\mathcal F(M)$
contains a complemented copy of $\ell_1(\Gamma)$, where
$\Gamma=\text{dens}(M)$. If $\mathcal N$ is the net in a finite dimensional
Banach space $X$, we show that $\mathcal F(\mathcal N)$ is isomorphic to its
square. If $X$ contains a complemented copy of $\ell_p, c_0$ then $\mathcal
F(\mathcal N)$ is isomorphic to its $\ell_1$-sum. Finally, we prove that for
all $X\cong C(K)$ spaces $\mathcal F(\mathcal N)$ are mutually isomorphic
spaces with a Schauder basis.


title: Hybrid benchmarking of arbitrary quantum gates

abstract:
  We present a protocol for Interleaved Randomized Benchmarking of arbitrary
quantum gates using Monte Carlo sampling of quantum states. It is generally
applicable, including non-Clifford gates while preserving key advantages of
Randomized Benchmarking such as error amplification as well as independence
from state preparation and measurement errors. This property is crucial for
implementations in many contemporary systems. Although the protocol scales
exponentially in the number of qubits, it is superior to direct Monte Carlo
sampling of the average gate fidelity in both the total number of experiments
by orders of magnitude and savings in classical preprocessing, that are
exponential.


title:
Atomic RMI 2: Highly Parallel Pessimistic Distributed Transactional
  Memory

abstract:
  Distributed Transactional Memory (DTM) is an emerging approach to distributed
synchronization based on the application of the transaction abstraction to
distributed computation. DTM comes in several system models, but the control
flow model (CF) is particularly powerful, since it allows transactions to
delegate computation to remote nodes as well as access shared data. However,
there are no existing CF DTM systems that perform on par with state-of-the-art
systems operating in other models. Hence, we introduce a CF DTM synchronization
algorithm, OptSVA-CF. It supports fine-grained pessimistic concurrency control,
so it avoids aborts, and thus avoids problems with irrevocable operations.
Furthermore, it uses early release and asynchrony to parallelize concurrent
transactions to a high degree, while retaining strong safety properties. We
implement it as Atomic RMI 2, in effect producing a CF DTM system that, as our
evaluation shows, can outperform a state-of-the-art non-CF DTM such as HyFlow2.


title: Excluded Volume Effects of Branched Molecules

abstract:
  The expansion factor, $\alpha^{2}=\langle s_{N}^{2}\rangle/\langle
s_{N}^{2}\rangle_{0}$, of branched molecules in the melt state is estimated.
The equilibrium expansion factor is determined as the point in which all the
inhomogeneity terms of the osmotic potential, $\Delta G_{osmotic}$, go to zero.
Numerical analysis shows that $\log\,\alpha=0.082\,\log N+\text{const.}$ for
$10^{3}\le N\le 10^{7}$, giving $\alpha\cong \text{const.}\,N^{1/12}$ so that
$\langle s_{N}^{2}\rangle^{1/2}\propto N^{1/3}$ which coincides with the value
for the critical packing density.


title: Spectral properties of the hierarchical product of graphs

abstract:
  The hierarchical product of two graphs represents a natural way to build a
larger graph out of two smaller graphs with less regular and therefore more
heterogeneous structure than the Cartesian product. Here we study the
eigenvalue spectrum of the adjacency matrix of the hierarchical product of two
graphs. Introducing a coupling parameter describing the relative contribution
of each of the two smaller graphs, we perform an asymptotic analysis for the
full spectrum of eigenvalues of the adjacency matrix of the hierarchical
product. Specifically, we derive the exact limit points for each eigenvalue in
the limits of small and large coupling, as well as the leading-order relaxation
to these values in terms of the eigenvalues and eigenvectors of the two smaller
graphs. Given its central roll in the structural and dynamical properties of
networks, we study in detail the Perron-Frobenius, or largest, eigenvalue.
Finally, as an example application we use our theory to predict the epidemic
threshold of the Susceptible-Infected-Susceptible model on a hierarchical
product of two graphs.


title: Upper bound for intermediate singular values of random matrices

abstract:
  In this paper, we prove that an $n\times n$ matrix $A$ with independent
centered subgaussian entries satisfies \[ s_{n+1-l}(A) \le C_1t
\frac{l}{\sqrt{n}} \] with probability at least $1-\exp(-C_2tl)$. This yields
$s_{n-l}(A) \sim \frac{cl}{\sqrt{n}}$ in combination with a known lower bound.
These results can be generalized to the rectangular matrix case.


title:
Monitoring the Solar Radius from the Royal Observatory of the Spanish
  Navy during the Last Quarter-Millennium

abstract:
  The solar diameter has been monitored at the Royal Observatory of the Spanish
Navy (today the Real Instituto y Observatorio de la Armada: ROA) almost
continuously since its creation in 1753 (i.e. during the last quarter of a
millennium). After a painstaking effort to collect data in the historical
archive of this institution, we present here the data of the solar semidiameter
from 1773 to 2006, making up an extensive new database for solar-radius
measurements can be considered. We have calculated the solar semidiameter from
the transit times registered by the observers (except values of the solar
radius from the modern Danjon astrolabe, which were published by ROA). These
data were analysed to reveal any significant long-term trends, but no such
trends were found. Therefore, the data sample confirms the constancy of the
solar diameter during the last quarter of a millennium (approximately) within
instrumental and methodological limits. Moreover, no relationship between solar
radius and the new sunspot-number index has been found from measurements of the
ROA. Finally, the mean value for solar semidiameter (with one standard
deviation) calculated from the observations made in the ROA (1773-2006), after
applying corrections by refraction and diffraction, is equal to 958.87" \pm
1.77"


title:
Minimax convergence rate for estimating the Wasserstein barycenter of
  random measures on the real line

abstract:
  This paper is focused on the statistical analysis of probability measures
$\nu_{1},\ldots,\nu_{n}$ on $\mathbb{R}$ that can be viewed as independent
realizations of an underlying stochastic process. We consider the situation of
practical importance where the random measures $\nu_{i}$ are absolutely
continuous with densities $f_{i}$ that are not directly observable. In this
case, instead of the densities, we have access to datasets of real random
variables $(X_{i,j})_{1 \leq i \leq n; \; 1 \leq j \leq p_{i} }$ organized in
the form of $n$ experimental units, such that $X_{i,1},\ldots,X_{i,p_{i}}$ are
iid observations sampled from a random measure $\nu_{i}$ for each $1 \leq i
\leq n$. In this setting, we focus on first-order statistics methods for
estimating, from such data, a meaningful structural mean measure. For the
purpose of taking into account phase and amplitude variations in the
observations, we argue that the notion of Wasserstein barycenter is a relevant
tool. The main contribution of this paper is to characterize the rate of
convergence of a (possibly smoothed) empirical Wasserstein barycenter towards
its population counterpart in the asymptotic setting where both $n$ and
$\min_{1 \leq i \leq n} p_{i}$ may go to infinity. The optimality of this
procedure is discussed from the minimax point of view with respect to the
Wasserstein metric. We also highlight the connection between our approach and
the curve registration problem in statistics. Some numerical experiments are
used to illustrate the results of the paper on the convergence rate of
empirical Wasserstein barycenters.


title:
Spatiotemporal order and emergent edge currents in active spinner
  materials

abstract:
  Collections of interacting, self-propelled particles have been extensively
studied as minimal models of many living and synthetic systems from bird flocks
to active colloids. However, the influence of active rotations in the absence
of self-propulsion i.e. spinning without walking) remains less explored. Here,
we numerically and theoretically investigate the behaviour of ensembles of
self-spinning dimers. We find that geometric frustration of dimer rotation by
interactions yields spatiotemporal order and active melting with no equilibrium
counterparts. At low density, the spinning dimers self-assemble into a
triangular lattice with their orientations phase-locked into spatially periodic
phases. The phase-locked patterns form dynamical analogues of the ground states
of various spin models, transitioning from the 3-state Potts antiferromagnet at
low densities to the striped herringbone phase of planar quadrupoles at higher
densities. As the density is raised further, the competition between active
rotations and interactions leads to melting of the active spinner crystal.
Emergent edge currents, whose direction is set by the chirality of the active
spinning, arise as a non-equilibrium signature of the transition to the active
spinner liquid and vanish when the system eventually undergoes kinetic arrest
at very high densities. Our findings may be realized in systems ranging from
liquid crystal and colloidal experiments to tabletop realizations using
macroscopic chiral grains.


title: A framework for redescription set construction

abstract:
  Redescription mining is a field of knowledge discovery that aims at finding
different descriptions of similar subsets of instances in the data. These
descriptions are represented as rules inferred from one or more disjoint sets
of attributes, called views. As such, they support knowledge discovery process
and help domain experts in formulating new hypotheses or constructing new
knowledge bases and decision support systems. In contrast to previous
approaches that typically create one smaller set of redescriptions satisfying a
pre-defined set of constraints, we introduce a framework that creates large and
heterogeneous redescription set from which user/expert can extract compact sets
of differing properties, according to its own preferences. Construction of
large and heterogeneous redescription set relies on CLUS-RM algorithm and a
novel, conjunctive refinement procedure that facilitates generation of larger
and more accurate redescription sets. The work also introduces the variability
of redescription accuracy when missing values are present in the data, which
significantly extends applicability of the method. Crucial part of the
framework is the redescription set extraction based on heuristic
multi-objective optimization procedure that allows user to define importance
levels towards one or more redescription quality criteria. We provide both
theoretical and empirical comparison of the novel framework against current
state of the art redescription mining algorithms and show that it represents
more efficient and versatile approach for mining redescriptions from data.


title:
Van der Waals effects on grazing incidence fast atom diffraction for
  H/LiF(001)

abstract:
  We theoretically address grazing incidence fast atom diffraction (GIFAD) for
H atoms impinging on a LiF(001) surface. Our model combines a description of
the H-LiF(001) interaction obtained from Density Functional Theory calculations
with a semi-quantum treatment of the dynamics. We analyze simulated diffraction
patterns in terms of the incidence channel, the impact energy associated with
the motion normal to the surface, and the relevance of Van der Waals (VdW)
interactions. We then contrast our simulations with experimental patterns for
different incidence conditions. Our most important finding is that, for normal
energies lower than 0.5 eV and incidence along the <100> channel, the inclusion
of Van der Waals interactions in our potential energy surface yields a greatly
improved accord between simulations and experiments. This agreement strongly
suggests a non-negligible role of Van der Waals interactions in H/LiF(001)
GIFAD in the low-to-intermediate normal energy regime.


title:
Two-dimensional bright and dark-in-bright dipolar Bose-Einstein
  condensate solitons on a one-dimensional optical lattice

abstract:
  We study the statics and dynamics of anisotropic, stable, bright and
dark-in-bright dipolar quasi-two-dimensional Bose-Einstein condensate (BEC)
solitons on a one-dimensional (1D) optical-lattice (OL) potential. These
solitons mobile in a plane perpendicular to the 1D OL trap can have both
repulsive and attractive contact interactions. The dark-in-bright solitons are
the excited states of the bright solitons. The solitons, when subject to a
small perturbation, exhibit sustained breathing oscillation. The dark-in-bright
solitons can be created by phase imprinting a bright soliton. At medium
velocities the collision between two solitons is found to be quasi elastic.The
results are demonstrated by a numerical simulation of the three-dimensional
mean-field Gross-Pitaevskii equation in three spatial dimensions employing
realistic interaction parameters for a dipolar $^{164}$Dy BEC.


title: A weakly universal cellular automaton on the tessellation $\{8,3\}$

abstract:
  In this paper, we construct a weakly universal cellular automaton on the
tessellation $\{8,3\}$ which is not rotation invariant but which is truly
planar.


title:
Supplement: The Rate of Binary Black Hole Mergers Inferred from Advanced
  LIGO Observations Surrounding GW150914

abstract:
  Supplemental information for a Letter reporting the rate of binary black hole
(BBH) coalescences inferred from 16 days of coincident Advanced LIGO
observations surrounding the transient gravitational wave signal GW150914. In
that work we reported various rate estimates whose 90\% credible intervals fell
in the range $2$--$600 \, \mathrm{Gpc}^{-3} \mathrm{yr}^{-1}$. Here we give
details of our method and computations, including information about our search
pipelines, a derivation of our likelihood function for the analysis, a
description of the astrophysical search trigger distribution expected from
merging BBHs, details on our computational methods, a description of the
effects and our model for calibration uncertainty, and an analytic method of
estimating our detector sensitivity that is calibrated to our measurements.


title: High-dimensional simultaneous inference with the bootstrap

abstract:
  We propose a residual and wild bootstrap methodology for individual and
simultaneous inference in high-dimensional linear models with possibly
non-Gaussian and heteroscedastic errors. We establish asymptotic consistency
for simultaneous inference for parameters in groups $G$, where $p \gg n$, $s_0
= o(n^{1/2}/\{\log(p) \log(|G|)^{1/2}\})$ and $\log(|G|) = o(n^{1/7})$, with
$p$ the number of variables, $n$ the sample size and $s_0$ denoting the
sparsity. The theory is complemented by many empirical results. Our proposed
procedures are implemented in the R-package hdi.


title:
Recycling Givens rotations for the efficient approximation of
  pseudospectra of band-dominated operators

abstract:
  We study spectra and pseudospectra of certain bounded linear operators on
$\ell^2({\mathbb Z})$. The operators are generally non-normal, and their matrix
representation has a characteristic off-diagonal decay. Based on a result of
Chandler-Wilde, Chonchaiya and Lindner for tridiagonal infinite matrices, we
demonstrate an efficient algorithm for the computation of upper and lower
bounds on the pseudospectrum of operators that are merely norm limits of band
matrices -- the so-called band-dominated operators. After approximation by a
band matrix and fixing a parameter $n\in{\mathbb N}$, one looks at $n$
consecutive columns $\{k+1,...,k+n\}$, $k\in{\mathbb Z}$, of the corresponding
matrix and computes the smallest singular value of that section via QR
factorization. We here propose a QR factorization by a sequence of Givens
rotations in such a way that a large part of the computation can be reused for
the factorization of the next submatrix -- when $k$ is replaced by $k+1$. The
computational cost for the next factorization(s) is ${\mathcal O}(nd)$ as
opposed to a naive implementation with ${\mathcal O}(nd^2)$, where $d$ is the
bandwidth. So our algorithm pays off for large bands, which is attractive when
approximating band-dominated operators with a full (i.e. not banded) matrix.


title:
Slow quantum oscillations without fine-grained Fermi Surface
  Reconstruction in Cuprate Superconductors

abstract:
  The Fourier transform of the observed magnetic quantum oscillations (MQO) in
YBa$_{2}$Cu$_{3}$O$_{6+\delta }$ high-temperature superconductors has a
prominent low-frequency peak with two smaller neighbouring peaks. The
separation and positions of these three peaks are almost independent of doping.
This pattern has been explained previously by rather special, exquisitely
detailed, Fermi-surface reconstruction. We propose that these MQO have a
different origin, and their frequencies are related to the bilayer and
inter-bilayer electron hopping rather than directly to the areas of tiny
Fermi-surface pockets. Such so-called "slow oscillations" explain more
naturally many features of the observed oscillations and allow us to estimate
the inter-layer transfer integrals and in-plane Fermi momentum.


title: Binary system and jet precession and expansion in G35.20-0.74N

abstract:
  Context. ALMA observations of the high-mass star-forming region G35.20-0.74N
have revealed the presence of a Keplerian disk in core B rotating about a
massive object of 18 Msun, as computed from the velocity field. The luminosity
of such a massive star would be comparable to (or higher than) the luminosity
of the whole star-forming region. To solve this problem it has been proposed
that core B could harbor a binary system. This could also explain the possible
precession of the radio jet associated with this core, which has been suggested
by its S-shaped morphology. Aims. To establish the origin of the free-free
emission from core B and investigate the existence of a binary system at the
center of this massive core and the possible precession of the radio jet.
Methods. We carried out VLA continuum observations of G35.20-0.74N at 2 cm in
the B configuration and at 1.3 cm and 7 mm in the A and B configurations. The
bandwidth at 7 mm covers the CH3OH maser line at 44.069 GHz. Continuum images
at 6 and 3.6 cm in the A configuration were obtained from the VLA archive. We
also carried out VERA observations of the H2O maser line at 22.235 GHz.
Results. The observations have revealed the presence of a binary system of
UC/HC HII regions at the geometrical center of the radio jet in G35.20-0.74N.
This binary system, which is associated with a Keplerian rotating disk,
consists of two B-type stars of 11 and 6 Msun. The S-shaped morphology of the
radio jet has been successfully explained as due to precession produced by the
binary system. The analysis of the precession of the radio jet has allowed us
to better interpret the IR emission in the region, which would be not tracing a
wide-angle cavity open by a single outflow with a position angle of ~55 deg but
two different flows: a precessing one in the NE-SW direction associated with
the radio jet, and a second one in an almost E--W direction ...


title:
A non-existence result for minimal catenoids in asymptotically flat
  spaces

abstract:
  We show that asymptotically Schwarzschildean 3-manifolds cannot contain
minimal surfaces obtained by perturbative deformations of a Euclidean catenoid,
no matter how small the ADM mass of the ambient space and how large the neck of
the catenoid itself. Such an obstruction is sharply three-dimensional and
ceases to hold for more general classes of asymptotically flat data.


title: Fundamental absorption edges in heteroepitaxial YBiO$_3$ thin films

abstract:
  The dielectric function of heteroepitaxial YBiO$_3$ grown on $a$-Al$_2$O$_3$
single crystals via pulsed laser deposition is determined in the spectral range
from 0.03 eV to 4.5 eV by simultaneous modeling of spectroscopic ellipsometry
and optical transmission data of YBiO$_3$ films of different thickness. The
(111)-oriented YBiO$_3$ films are nominally unstrained and crystallize in a
defective fluorite-type structure with $Fm\bar{3}m$ space group. From the
calculated absorption spectrum, a direct electronic bandgap energy of 3.6(1) eV
and the signature of an indirect electronic transition around 0.5 eV are
obtained. These values provide necessary experimental feedback to previous
conflicting electronic band structure calculations predicting either a
topologically trivial or non-trivial insulating ground state in YBiO$_3$.


title:
Eulerian vs. Lagrangian analyses of pedestrian dynamics asymmetries in a
  staircase landing

abstract:
  Real-life, out-of-laboratory, measurements of pedestrian movements allow
extensive and fully-resolved statistical analyses. However, data acquisition in
real-life is subjected to the wide heterogeneity that characterizes crowd flows
over time. Disparate flow conditions, such as co-flows and counter-flows at low
and at high pedestrian densities, typically follow randomly one another. When
analysing the data in order to study the dynamics and behaviour of pedestrians
it is crucial to be able disentangle and to properly select (query) data from
statistically homogeneous flow conditions in order to avoid spurious statistics
and to enable qualitative comparisons. In this paper we extend our previous
analysis on the asymmetric pedestrian dynamics on a staircase landing, where we
collected a large statistical database of measurements from ad hoc continuous
recordings. This contribution has a two-fold aim: first, method-wise, we
discuss two possible approaches to query experimental datasets for homogeneous
flow conditions. For given flow conditions, we can either agglomerate
measurements on a time-frame basis (Eulerian queries) or on a trajectory basis
(Lagrangian queries). Second, we employ these two different perspectives to
further explore asymmetries in the pedestrian dynamics in our measurement site.
We report cross-comparisons of statistics of pedestrian positions, velocities
and accelerations vs. flow conditions as well as vs. Eulerian or Lagrangian
approach.


title:
Supersymmetry breaking and Nambu-Goldstone fermions in an extended
  Nicolai model

abstract:
  We study a model of interacting spinless fermions in a one dimensional
lattice with supersymmetry (SUSY). The Hamiltonian is given by the
anti-commutator of two supercharges $Q$ and $Q^\dagger$, each of which is
comprised solely of fermion operators and possesses one adjustable parameter
$g$. When the parameter $g$ vanishes, the model is identical to the one studied
by Nicolai [H. Nicolai, J. Phys. A: Math. Gen. \textbf{9}, 1497 (1976)], where
the zero-energy ground state is exponentially degenerate. On the other hand, in
the large-$g$ limit the model reduces to the free-fermion chain with a
four-fold degenerate ground state. We show that for finite chains SUSY is
spontaneously broken when $g > 0$. We also rigorously prove that for
sufficiently large $g$ the ground-state energy density is nonvanishing in the
infinite-volume limit. We further analyze the nature of the low-energy
excitations by employing various techniques such as rigorous inequalities,
exact numerical diagonalization, and renormalization group method with
bosonization. The analysis reveals that the low-energy excitations are
described by massless Dirac fermions (or Thirring fermions more generally),
which can be thought of as Nambu-Goldstone fermions from the spontaneous SUSY
breaking.

categories: cond-mat.str-el cond-mat.stat-mech hep-th math-ph math.MP


title: An Energy Gap for Complex Yang-Mills Equations

abstract:
  We use the energy gap result of pure Yang-Mills equation [Feehan P.M.N., Adv.
Math. 312 (2017), 547-587, arXiv:1502.00668] to prove another energy gap result
of complex Yang-Mills equations [Gagliardo M., Uhlenbeck K., J. Fixed Point
Theory Appl. 11 (2012), 185-198, arXiv:1401.7366], when Riemannian manifold $X$
of dimension $n\geq 2$ satisfies certain conditions.


title:
Dislocations in stacking and commensurate-incommensurate phase
  transition in bilayer graphene and hexagonal boron nitride

abstract:
  Dislocations corresponding to a change of stacking in two-dimensional
hexagonal bilayers, graphene and boron nitride, and associated with boundaries
between commensurate domains are investigated using the two-chain
Frenkel-Kontorova model on top of ab initio calculations. Structural
transformations of bilayers in which the bottom layer is stretched and the
upper one is left to relax freely are considered for gradually increased
elongation of the bottom layer. Formation energies of dislocations, dislocation
width and orientation of the boundary between commensurate domains are analyzed
depending on the magnitude and direction of elongation. The second-order phase
transition from the commensurate phase to the incommensurate one with multiple
dislocations is predicted to take place at some critical elongation. The order
parameter for this transition corresponds to the density of dislocations, which
grows continuously upon increasing the elongation of the bottom layer above the
critical value. In graphene and metastable boron nitride with the layers
aligned in the same direction, where elementary dislocations are partial, this
transition, however, is preceded by formation of the first dislocation at the
elongation smaller than the critical one. The phase diagrams including this
intermediate state are plotted in coordinates of the magnitude and direction of
elongation of the bottom layer.


title: The real parts of the nontrivial Riemann zeta function zeros

abstract:
  This theorem is based on holomorphy of studied functions and the fact that
near a singularity point the real part of some rational function can take an
arbitrary preassigned value.


title: Long-range entangled zero-mode state in a non-Hermitian lattice

abstract:
  In contrast to a Hermitian system, in which zero modes are usually degenerate
and localized edge state in the thermodynamic limit, the zero mode of a finite
non-Hermitian system can be a single nontrivial long-range entangled state at
the exceptional point (EP). In this work, we demonstrate this feature with a
concrete example based on exact solutions. Numerical simulations show that the
entangled state can be generated through the dynamic process with a high
fidelity.


title: An analytic family of post-merger template waveforms

abstract:
  Building on the analytical description of the post-merger (ringdown) waveform
of coalescing, non-precessing, spinning, (BBHs) introduced in Phys. Rev. D 90,
024054 (2014), we propose an analytic, closed form, time-domain, representation
of the $\ell=m=2$ gravitational radiation mode emitted after merger. This
expression is given as a function of the component masses and dimensionless
spins $(m_{1,2},\chi_{1,2})$ of the two inspiralling objects, as well as of the
mass $M_{\rm BH}$ and (complex) frequency $\sigma_{1}$ of the fundamental
quasi-normal mode of the remnant black hole. Our proposed template is obtained
by fitting the post-merger waveform part of several publicly available
numerical relativity simulations from the Simulating eXtreme Spacetimes (SXS)
catalog and then suitably interpolating over (symmetric) mass ratio and spins.
We show that this analytic expression accurately reproduces ($\sim$~0.01 rad)
the phasing of the post-merger data of other datasets not used in its
construction. This is notably the case of the spin-aligned run SXS:BBH:0305,
whose intrinsic parameters are consistent with the 90\% credible intervals
reported by the parameter-estimation followup of GW150914 in Phys. Rev. Lett.
116 (2016) no.24, 241102. Using SXS waveforms as "experimental" data, we
further show that our template could be used on the actual GW150914 data to
perform a new measure the complex frequency of the fundamental quasi-normal
mode so to exploit the complete (high signal-to-noise-ratio) post-merger
waveform.


title: Optimal packings of bounded degree trees

abstract:
  We prove that if $T_1,\dots, T_n$ is a sequence of bounded degree trees so
that $T_i$ has $i$ vertices, then $K_n$ has a decomposition into $T_1,\dots,
T_n$. This shows that the tree packing conjecture of Gy\'arf\'as and Lehel from
1976 holds for all bounded degree trees (in fact, we can allow the first $o(n)$
trees to have arbitrary degrees). Similarly, we show that Ringel's conjecture
from 1963 holds for all bounded degree trees. We deduce these results from a
more general theorem, which yields decompositions of dense quasi-random graphs
into suitable families of bounded degree graphs. Our proofs involve
Szemer\'{e}di's regularity lemma, results on Hamilton decompositions of robust
expanders, random walks, iterative absorption as well as a recent blow-up lemma
for approximate decompositions.


title: Cross-Gramian-Based Model Reduction: A Comparison

abstract:
  As an alternative to the popular balanced truncation method, the cross
Gramian matrix induces a class of balancing model reduction techniques. Besides
the classical computation of the cross Gramian by a Sylvester matrix equation,
an empirical cross Gramian can be computed based on simulated trajectories.
This work assesses the cross Gramian and its empirical Gramian variant for
state-space reduction on a procedural benchmark based to the cross Gramian
itself.


title: Avoidability of formulas with two variables

abstract:
  In combinatorics on words, a word $w$ over an alphabet $\Sigma$ is said to
avoid a pattern $p$ over an alphabet $\Delta$ of variables if there is no
factor $f$ of $w$ such that $f=h(p)$ where $h:\Delta^*\to\Sigma^*$ is a
non-erasing morphism. A pattern $p$ is said to be $k$-avoidable if there exists
an infinite word over a $k$-letter alphabet that avoids $p$. We consider the
patterns such that at most two variables appear at least twice, or
equivalently, the formulas with at most two variables. For each such formula,
we determine whether it is $2$-avoidable, and if it is $2$-avoidable, we
determine whether it is avoided by exponentially many binary words.


title:
Inferring Sparsity: Compressed Sensing using Generalized Restricted
  Boltzmann Machines

abstract:
  In this work, we consider compressed sensing reconstruction from $M$
measurements of $K$-sparse structured signals which do not possess a writable
correlation model. Assuming that a generative statistical model, such as a
Boltzmann machine, can be trained in an unsupervised manner on example signals,
we demonstrate how this signal model can be used within a Bayesian framework of
signal reconstruction. By deriving a message-passing inference for general
distribution restricted Boltzmann machines, we are able to integrate these
inferred signal models into approximate message passing for compressed sensing
reconstruction. Finally, we show for the MNIST dataset that this approach can
be very effective, even for $M < K$.

categories: cs.IT cond-mat.dis-nn cs.LG math.IT stat.ML


title:
The Footprint Database and Web Services of the Herschel Space
  Observatory

abstract:
  Data from the Herschel Space Observatory is freely available to the public
but no uniformly processed catalogue of the observations has been published so
far. To date, the Herschel Science Archive does not contain the exact sky
coverage (footprint) of individual observations and supports search for
measurements based on bounding circles only. Drawing on previous experience in
implementing footprint databases, we built the Herschel Footprint Database and
Web Services for the Herschel Space Observatory to provide efficient search
capabilities for typical astronomical queries. The database was designed with
the following main goals in mind: (a) provide a unified data model for
meta-data of all instruments and observational modes, (b) quickly find
observations covering a selected object and its neighbourhood, (c) quickly find
every observation in a larger area of the sky, (d) allow for finding solar
system objects crossing observation fields. As a first step, we developed a
unified data model of observations of all three Herschel instruments for all
pointing and instrument modes. Then, using telescope pointing information and
observational meta-data, we compiled a database of footprints. As opposed to
methods using pixellation of the sphere, we represent sky coverage in an exact
geometric form allowing for precise area calculations. For easier handling of
Herschel observation footprints with rather complex shapes, two algorithms were
implemented to reduce the outline. Furthermore, a new visualisation tool to
plot footprints with various spherical projections was developed. Indexing of
the footprints using Hierarchical Triangular Mesh makes it possible to quickly
find observations based on sky coverage, time and meta-data. The database is
accessible via a web site (http://herschel.vo.elte.hu) and also as a set of
REST web service functions.


title: Self-similar aftershock rates

abstract:
  In many important systems exhibiting crackling noise --- intermittent
avalanche-like relaxation response with power-law and, thus, self-similar
distributed event sizes --- the "laws" for the rate of activity after large
events are not consistent with the overall self-similar behavior expected on
theoretical grounds. This is in particular true for the case of seismicity and
a satisfying solution to this paradox has remained outstanding. Here, we
propose a generalized description of the aftershock rates which is both
self-similar and consistent with all other known self-similar features.
Comparing our theoretical predictions with high resolution earthquake data from
Southern California we find excellent agreement, providing in particular clear
evidence for a unified description of aftershocks and foreshocks. This may
offer an improved way of time-dependent seismic hazard assessment and
earthquake forecasting.


title: Ergodic measures and infinite matrices of finite rank

abstract:
  Let $O(\infty)$ and $U(\infty)$ be the inductively compact infinite
orthogonal group and infinite unitary group respectively. The classifications
of ergodic probability measures with respect to the natural group action of
$O(\infty)\times O(m)$ on $\mathrm{Mat}(\mathbb{N}\times m, \mathbb{R})$ and
that of $U(\infty)\times U(m)$ on $\mathrm{Mat}(\mathbb{N}\times m,
\mathbb{C})$ are due to Olshanski. The original proofs for these results are
based on the asymptotic representation theory. In this note, by applying the
Vershik-Kerov method, we propose a simple method for obtaining these two
classifications, making it accessible to pure probabilists.


title: Continuous dynamical decoupling utilizing time-dependent detuning

abstract:
  Resilience to noise and to decoherence processes is an important ingredient
for the implementation of quantum information processing, and quantum
technologies. To this end, techniques such as pulsed and continuous dynamical
decoupling have been proposed to reduce noise effects. In this paper, we
suggest a new approach to implementing continuous dynamical decoupling
techniques, that uses an extra control parameter; namely, the ability to shape
the time dependence of the detuning. This approach reduces the complexity of
the experimental setup, such that we are only left with noise originating from
the frequency of the driving field, which is much more robust than the
amplitude (Rabi frequency) noise. As an example, we show that our technique can
be utilized for improved sensing.


title:
Dirichlet-to-Neumann semigroup with respect to a general second order
  eigenvalue problem

abstract:
  In this paper we present a preliminary study on the Dirichlet-to-Neumann
operator with respect to a second order elliptic operator with measurable
coefficients, including first order terms, namely, the operator on
$L^2(\partial\Omega)$ given by $\varphi\mapsto \partial_{\nu}u$ where $u$ is a
weak solution of \begin{equation} \left\{ \begin{aligned} -{\rm div}\, (a\nabla
u) +b\cdot \nabla u -{\rm div}\, (cu)+du & =\lambda u \ \ \text{on}\ \Omega,\\
u|_{\partial\Omega} & =\varphi . \end{aligned} \right. \end{equation} Under
suitable assumptions on the matrix-valued function $a$, on the vector fields
$b$ and $c$, and on the function $d$, we investigate positivity,
sub-Markovianity, irreducibility and domination properties of the associated
semigroups.


title:
Stability switches induced by immune system boosting in an SIRS model
  with discrete and distributed delays

abstract:
  We consider an epidemiological model that includes waning and boosting of
immunity. Assuming that repeated exposure to the pathogen fully restores
immunity, we derive an SIRS-type model with discrete and distributed delays.
First we prove usual results, namely that if the basic reproduction number,
$\mathcal{R}_0$, is less or equal than $1$, then the disease free equilibrium
is globally asymptotically stable, whereas for $\mathcal{R}_0>1$ the disease
persists in the population. The interesting features of boosting appear with
respect to the endemic equilibrium, which can go through multiple stability
switches by changing the key model parameters. We construct two-parameter
stability charts, showing that increasing the delay can stabilize the positive
equilibrium. Increasing $\mathcal{R}_0$, the endemic equilibrium can cross two
distinct regions of instability, separated by Hopf-bifurcations. Our results
show that the dynamics of infectious diseases with boosting of immunity can be
more complex than most epidemiological models, and calls for careful
mathematical analysis.


title:
How marketing vocabulary was evolving from 2005 to 2014? An illustrative
  application of statistical methods on text mining

abstract:
  Here a collection of 1169 abstracts, which corresponds to articles that the
Journal of Marketing Research has published from 2005 to 2014, are analysed
under a novel approach. We apply several statistical methods, such as Principal
Components Analysis and Correspondence Analysis to identify the way Marketing
vocabulary is evolving. Similarly those articles that introduce new vocabulary
are identified and the preferred words by authors are also detected. In order
to provide an easy-to-understand explanation, we provide our results
graphically. A word-cloud with the most frequent words is given first. Secondly
abstracts-words are represented on the factorial plane. Finally one
representation of word-years allows us to detect changes on the vocabulary
through the passing of time.


title: Practical quantum realization of the ampere from the electron charge

abstract:
  One major change of the future revision of the International System of Units
(SI) is a new definition of the ampere based on the elementary charge \emph{e}.
Replacing the former definition based on Amp\`ere's force law will allow one to
fully benefit from quantum physics to realize the ampere. However, a quantum
realization of the ampere from \emph{e}, accurate to within $10^{-8}$ in
relative value and fulfilling traceability needs, is still missing despite many
efforts have been spent for the development of single-electron tunneling
devices. Starting again with Ohm's law, applied here in a quantum circuit
combining the quantum Hall resistance and Josephson voltage standards with a
superconducting cryogenic amplifier, we report on a practical and universal
programmable quantum current generator. We demonstrate that currents generated
in the milliampere range are quantized in terms of $ef_\mathrm{J}$
($f_\mathrm{J}$ is the Josephson frequency) with a measurement uncertainty of
$10^{-8}$. This new quantum current source, able to deliver such accurate
currents down to the microampere range, can greatly improve the current
measurement traceability, as demonstrated with the calibrations of digital
ammeters. Beyond, it opens the way to further developments in metrology and in
fundamental physics, such as a quantum multimeter or new accurate comparisons
to single electron pumps.


title:
Global strong solution for the Korteweg system with quantum pressure in
  dimension $N\geq 2$

abstract:
  This work is devoted to prove the existence of global strong solution in
dimension $N\geq 2$ for a isothermal model of capillary fluids derived by J.E
Dunn and J.Serrin (1985) (see \cite{fDS}), which can be used as a phase
transition model. We will restrict us to the case of the so called compressible
Navier-Stokes system with quantum pressure which corresponds to consider the
capillary coefficient $\kappa(\rho)=\frac{\kappa_1}{\rho}$ with $\kappa_1>0$.
In a first part we prove the existence of strong solution in finite time for
large initial data with a precise bound by below on the life span $T^*$. This
one depends on the norm of the initial data $(\rho_0,v_0)$. The second part
consists in proving the existence of global strong solution with particular
choice on the capillary coefficient ( where $\kappa_1=\mu^2$) and on the
viscosity tensor which corresponds to the viscous shallow water case $-2\mu{\rm
div}(\rho Du)$. To do this we derivate different energy estimate on the density
and the effective velocity $v$ which ensures that the strong solution can be
extended beyond $T^*$. The main difficulty consists in controlling the vacuum
or in other words to estimate the $L^\infty$ norm of $\frac{1}{\rho}$. The
proof relies mostly on a method introduced by De Giorgi \cite{DG} (see also
Ladyzhenskaya et al in \cite{La} for the parabolic case) to obtain regularity
results for elliptic equations with discontinuous diffusion coefficients and a
suitable bootstrap argument.


title: Making Contextual Decisions with Low Technical Debt

abstract:
  Applications and systems are constantly faced with decisions that require
picking from a set of actions based on contextual information.
Reinforcement-based learning algorithms such as contextual bandits can be very
effective in these settings, but applying them in practice is fraught with
technical debt, and no general system exists that supports them completely. We
address this and create the first general system for contextual learning,
called the Decision Service.
  Existing systems often suffer from technical debt that arises from issues
like incorrect data collection and weak debuggability, issues we systematically
address through our ML methodology and system abstractions. The Decision
Service enables all aspects of contextual bandit learning using four system
abstractions which connect together in a loop: explore (the decision space),
log, learn, and deploy. Notably, our new explore and log abstractions ensure
the system produces correct, unbiased data, which our learner uses for online
learning and to enable real-time safeguards, all in a fully reproducible
manner.
  The Decision Service has a simple user interface and works with a variety of
applications: we present two live production deployments for content
recommendation that achieved click-through improvements of 25-30%, another with
18% revenue lift in the landing page, and ongoing applications in tech support
and machine failure handling. The service makes real-time decisions and learns
continuously and scalably, while significantly lowering technical debt.


title:
Unscrambling the Omelette of Quantum Contextuality (PART 1): Preexistent
  Properties or Measurement Outcomes?

abstract:
  In this paper we attempt to analyze the physical and philosophical meaning of
quantum contextuality. We will argue that there exists a general confusion
within the foundational literature arising from the improper "scrambling" of
two different meanings of quantum contextuality. While the first one,
introduced by Bohr, is related to an epistemic interpretation of contextuality
which stresses the incompatibility (or complementarity) of certain measurement
situations described in classical terms; the second meaning of contextuality is
related to a purely formal understanding of contextuality as exposed by the
Kochen-Specker (KS) theorem which focuses instead on the constraints of the
orthodox quantum formalism in order to interpret projection operators as
preexistent or actual (definite valued) properties. We will show how these two
notions have been scrambled together creating an "omelette of contextuality"
which has been fully widespread through a popularized "epistemic explanation"
of the KS theorem according to which: The measurement outcome of the observable
A when measured together with B or together with C will necessarily differ in
case [A, B] = [A, C] = 0, and [B, C] /= 0. We will show why this statement is
not only improperly scrambling epistemic and formal perspectives, but is also
physically and philosophically meaningless. Finally, we analyze the
consequences of such widespread epistemic reading of KS theorem as related to
statistical statements of measurement outcomes.


title: Visual-Inertial-Semantic Scene Representation for 3-D Object Detection

abstract:
  We describe a system to detect objects in three-dimensional space using video
and inertial sensors (accelerometer and gyrometer), ubiquitous in modern mobile
platforms from phones to drones. Inertials afford the ability to impose
class-specific scale priors for objects, and provide a global orientation
reference. A minimal sufficient representation, the posterior of semantic
(identity) and syntactic (pose) attributes of objects in space, can be
decomposed into a geometric term, which can be maintained by a
localization-and-mapping filter, and a likelihood function, which can be
approximated by a discriminatively-trained convolutional neural network. The
resulting system can process the video stream causally in real time, and
provides a representation of objects in the scene that is persistent:
Confidence in the presence of objects grows with evidence, and objects
previously seen are kept in memory even when temporarily occluded, with their
return into view automatically predicted to prime re-detection.


title:
Metallic behavior induced by potassium doping of the trigonal
  antiferromagnetic insulator EuMn2As2

abstract:
  We report magnetic susceptibility \chi, isothermal magnetization M, heat
capacity C_p and electrical resistivity \rho measurements on undoped EuMn2As2
and K-doped Eu0.96K0.04Mn2As2 and Eu0.93K0.07Mn2As2 single crystals with the
trigonal CaAl2Si2-type structure as a function of temperature T and magnetic
field H. EuMn2As2 has an insulating ground state with an activation energy of
52 meV and exhibits antiferromagnetic (AFM) ordering of the Eu+2 spins S=7/2 at
T_N1 = 15 K from C_p(T) and \chi(T) data with a likely spin-reorientation
transition at T_N2 = 5.0 K. The Mn+2 3d5 spins-5/2 exhibit AFM ordering at T_N
= 142 K from all three types of measurements. The M(H) isotherm and \chi(T)
data indicate that the Eu AFM structure is both noncollinear and noncoplanar.
The AFM structure of the Mn spins is also unclear. A 4% substitution of K for
Eu in Eu0.96K0.04Mn2As2 is sufficient to induce a metallic ground state.
Evidence is found for a difference in the AFM structure of the Eu moments in
the metallic crystals from that of undoped EuMn2As2 versus both T and H. For
metallic Eu0.96K0.04Mn2As2 and Eu0.93K0.07Mn2As2, an anomalous S-shape T
dependence of \rho related to the Mn magnetism is found. Upon cooling from 200
K, \rho exhibits a strong negative curvature, reaches maximum positive slope at
the Mn T_N ~ 150 K, and then continues to decrease but more slowly below T_N.
This suggests that dynamic short-range AFM order of the Mn spins above the Mn
T_N strongly suppresses the resistivity, contrary to the conventional decrease
of \rho that is only observed upon cooling below T_N of an antiferromagnet.


title:
Open heavy-flavour and quarkonium production in Pb-Pb and p-Pb
  collisions measured by the ALICE detector at the LHC

abstract:
  Open heavy-flavour and quarkonia measurements are important tools to study
the hot and dense partonic medium formed in ultra-relativistic heavy-ion
collisions. The modification of their production in those collisions, with
respect to the pp and p-Pb ones, can help in the characterization of this
medium. Quarkonia and open heavy-flavour production is measured in ALICE in the
three different collision systems, at mid- and forward rapidity. A selection of
those results recently obtained in Pb-Pb and p-Pb collisions by the ALICE
Collaboration is presented.


title:
Effect of Retransmissions on Optimal Caching in Cache-enabled Small Cell
  Networks

abstract:
  Caching popular content in the storage of small cells is being considered as
an efficient technique to complement limited backhaul of small cells in
ultra-dense heterogeneous cellular networks. Limited storage capacity of the
small cells renders it important to determine the optimal set of files (cache)
to be placed on each small cell. In contrast to prior works on optimal caching,
in this work we study the effect of retransmissions on the optimal cache
placement policy for both static and mobile user scenarios. With the popularity
of files modeled as a Zipf distribution and a maximum n transmissions, i.e.,
n-1 retransmissions, allowed to receive each file, we determine the optimal
caching probability of the files that maximizes the hit probability. Our
closed-form optimal solutions concretely demonstrate that the optimal caching
probabilities are very sensitive to the number of retransmissions.


title: A strong hyperbolicity property of locally symmetric varieties

abstract:
  We show that all subvarieties of a quotient of a bounded symmetric domain by
a sufficiently small arithmetic discrete group of automorphisms are of general
type. This result corresponds through the Green-Griffiths-Lang's conjecture to
a well-known result of Nadel.


title:
Rank-Based Procedures in Factorial Designs: Hypotheses about
  Nonparametric Treatment Effects

abstract:
  Existing tests for factorial designs in the nonparametric case are based on
hypotheses formulated in terms of distribution functions. Typical null
hypotheses, however, are formulated in terms of some parameters or effect
measures, particularly in heteroscedastic settings. Here this idea is extended
to nonparametric models by introducing a novel nonparametric
ANOVA-type-statistic based on ranks which is suitable for testing hypotheses
formulated in meaningful nonparametric treatment effects in general factorial
designs. This is achieved by a careful in-depth study of the common
distribution of rank-based estimators for the treatment effects. Since the
statistic is asymptotically not a pivotal quantity we propose three different
approximation techniques, discuss their theoretic properties and compare them
in extensive simulations together with two additionalWald-type tests. An
extension of the presented idea to general repeated measures designs is briefly
outlined. The proposed rank-based procedures maintain the pre-assigned type-I
error rate quite accurately, also in unbalanced and heteroscedastic models.


title:
On the regularity of solutions of one dimensional variational obstacle
  problems

abstract:
  We study the regularity of solutions of one dimensional variational obstacle
problems in $W^{1,1}$ when the Lagrangian is locally H\"older continuous and
globally elliptic. In the spirit of the work of Sychev ([Syc89, Syc91, Syc92]),
a direct method is presented for investigating such regularity problems with
obstacles. This consists of introducing a general subclass $\mathcal{L}$ of
$W^{1,1}$, related in a certain way to one dimensional variational obstacle
problems, such that every function of $\mathcal{L}$ has Tonelli's partial
regularity, and then to prove that, depending of the regularity of the
obstacles, solutions of corresponding variational problems belong to
$\mathcal{L}$. As an application of this direct method, we prove that if the
obstacles are $C^{1,\sigma}$ then every Sobolev solution has Tonelli's partial
regularity.


title: The $SO(3)$-instanton moduli space and tensor products of ADHM data

abstract:
  Let $M^K_n$ be the moduli space of framed $K$-instantons with instanton
number $n$ when $K$ is a compact simple Lie group of classical type. Due to
Donaldson's theorem, its scheme structure is given by the regular locus of a
GIT quotient of $\mu^{-1}(0)$ where $\mu$ is the moment map on the associated
symplectic vector space of ADHM data.
  A main theorem of this paper asserts that $\mu$ is flat for
$K=SO(3,\mathbb{R})$ and any $n\ge0$. Hence we complete the interpretation of
the K-theoretic Nekrasov partition function for the classical groups in
Nekrasov-Shadchin's work in term of Hilbert series of the instanton moduli
spaces together with the author's previous results.
  We also write ADHM data for the second symmetric and exterior products of the
associated vector bundle of an instanton. This gives an explicit
quiver-theoretic description of the isomorphism $M^{K}_{n}\cong M^{K'}_{n}$ for
all the pairs $K,K'$ with isomorphic Lie algebras.


title:
Estimating individual treatment effect: generalization bounds and
  algorithms

abstract:
  There is intense interest in applying machine learning to problems of causal
inference in fields such as healthcare, economics and education. In particular,
individual-level causal inference has important applications such as precision
medicine. We give a new theoretical analysis and family of algorithms for
predicting individual treatment effect (ITE) from observational data, under the
assumption known as strong ignorability. The algorithms learn a "balanced"
representation such that the induced treated and control distributions look
similar. We give a novel, simple and intuitive generalization-error bound
showing that the expected ITE estimation error of a representation is bounded
by a sum of the standard generalization-error of that representation and the
distance between the treated and control distributions induced by the
representation. We use Integral Probability Metrics to measure distances
between distributions, deriving explicit bounds for the Wasserstein and Maximum
Mean Discrepancy (MMD) distances. Experiments on real and simulated data show
the new algorithms match or outperform the state-of-the-art.


title:
Search for new resonances in events with one lepton and missing
  transverse momentum in $pp$ collisions at $\sqrt{s} = 13$ TeV with the ATLAS
  detector

abstract:
  A search for $W^\prime$ bosons in events with one lepton (electron or muon)
and missing transverse momentum is presented. The search uses 3.2 fb$^{-1}$ of
$pp$ collision data collected at $\sqrt{s} = 13$ TeV by the ATLAS experiment at
the LHC in 2015. The transverse mass distribution is examined and no
significant excess of events above the level expected from Standard Model
processes is observed. Upper limits on the $W^\prime$ boson cross-section times
branching ratio to leptons are set as a function of the $W^\prime$ mass.
Assuming a $W^\prime$ boson as predicted by the Sequential Standard Model,
$W^\prime$ masses below 4.07 TeV are excluded at the 95% confidence level. This
extends the limit set using LHC data at $\sqrt{s}=8$ TeV by around 800 GeV.


title: Optimisation Of Pressure Sewer Operation

abstract:
  The paper deals with the new control method developed for the pressure sewer
systems. This method eliminates the disadvantages of currently common used
on-off regulation. The major disadvantage is a transition of inconstancies of
the effluent production into the sewage system. The propose method is primarily
based on the principle of an allocation of the drawing off into the given time
slots. This control method is further improved by the extended modules provide
higher level of the optimization (learning mode and emergent drawing off).
Proposed method is able to decrease of the standard deviation of pumping even
by 80%.


title: On three-dimensional trace anomaly from holographic local RG

abstract:
  Odd-dimensional quantum field theories (QFTs) can have nonzero trace
anomalies if external fields are introduced and some ingredients needed to make
Lorentz scalars with appropriate mass dimensions (or weights) are supplied. We
have studied a three-dimensional QFT and explicitly computed the trace of the
stress tensor using the holographic local renormalization group (RG). We have
checked some properties of vector beta functions and the Wess-Zumino
consistency condition, however, found the anomalies vanish on fixed points. We
clarify what is responsible for the vanishing trace anomalies.


title:
Theoretical analysis of influence of random alloy fluctuations on the
  opto-electronic properties of site-controlled (111)-oriented InGaAs/GaAs
  quantum dots

abstract:
  We use an $sp^3d^5s^* $ tight-binding model to investigate the electronic and
optical properties of realistic site-controlled (111)-oriented InGaAs/GaAs
quantum dots. Special attention is paid to the impact of random alloy
fluctuations on key factors that determine the fine-structure splitting in
these systems. Using a pure InAs/GaAs quantum dot as a reference system, we
show that the combination of spin-orbit coupling and biaxial strain effects can
lead to sizeable spin-splitting effects in these systems. Then, a realistic
alloyed InGaAs/GaAs quantum dot with 25\% InAs content is studied. Our analysis
reveals that the impact of random alloy fluctuations on the electronic and
optical properties of (111)-oriented InGaAs/GaAs quantum dots reduces strongly
as the lateral size of the dot increases and approaches realistic sizes. For
instance the optical matrix element shows an almost vanishing anisotropy in the
(111)-growth plane. Furthermore, conduction and valence band mixing effects in
the system under consideration are strongly reduced compared to standard
(100)-oriented InGaAs/GaAs systems. All these factors strongly indicate a
reduced fine structure splitting in site-controlled (111)-oriented InGaAs/GaAs
quantum dots. Thus, we conclude that quantum dots with realistic (50-80~nm)
base length represent promising candidates for polarization entangled photon
generation, consistent with recent experimental data.


title: Gravitational Higgs Mechanism in Neutron Star Interiors

abstract:
  We suggest that nonminimally coupled scalar fields can lead to modifications
of the microphysics in the interiors of relativistic stars. As a concrete
example, we consider the generation of a non-zero photon mass in such
high-density environments. This is achieved by means of a light gravitational
scalar, and the scalarization phase transition in scalar-tensor theories of
gravitation. Two distinct models are presented, and phenomenological
implications are briefly discussed.


title:
A Chomsky-Sch\"utzenberger representation for weighted multiple
  context-free languages

abstract:
  We prove a Chomsky-Sch\"utzenberger representation theorem for multiple
context-free languages weighted over complete commutative strong bimonoids.


title: The GeMSE Facility for Low-Background {\gamma}-Ray Spectrometry

abstract:
  We describe a new high-purity germanium (HPGe) detector setup for
low-background {\gamma}-ray spectrometry. The GeMSE facility (Germanium
Material and meteorite Screening Experiment) is dedicated to material screening
for rare event searches in astroparticle physics as well as to the
characterization of meteorites. It is installed in a medium depth (~620 m.w.e.)
underground laboratory in Switzerland in a multi-layer shielding and is
equipped with an active muon veto. We have reached a very competitive integral
background rate of (246$\pm$2) counts/day (100-2700 keV) and measured a
sensitivity of $\sim$0.5-0.6 mBq/kg for long-lived isotopes from the
$^{238}$U/$^{232}$Th chains in a $\sim$1\,kg sample screened for $\sim$27 days.
An extrapolation to higher sample masses and measurement times suggests a
maximum sensitivity in the $\mathcal{O}(50)$ \mu Bq/kg range. We describe the
data analysis based on Bayesian statistics, background simulations, the
efficiency calibration and first sample measurements.


title: Propositional Team Logics

abstract:
  We consider team semantics for propositional logic, continuing our previous
work (Yang & V\"a\"an\"anen 2016). In team semantics the truth of a
propositional formula is considered in a set of valuations, called a team,
rather than in an individual valuation. This offers the possibility to give
meaning to concepts such as dependence, independence and inclusion. We define
an expressively maximal propositional team logic, called full propositional
team logic. This requires going beyond the logical operations of classical
propositional logic. We exhibit a hierarchy of logics between the smallest,
viz. classical propositional logic, and the full propositional team logic. We
characterize these different logics in several ways: first syntactically by
their logical operations, and then semantically by the kind of sets of teams
they are capable of defining. In several important cases we are able to find
complete axiomatizations for these logics.


title:
Temperature dependence of the NMR spin-lattice relaxation rate for
  spin-1/2 chains

abstract:
  We use recent developments in the framework of time dependent matrix product
state method (t-MPS) to compute the NMR relaxation rate $1/T_1$ for spin-1/2
chains under magnetic field and for different Hamiltonians (XXX, XXZ,
isotropically dimerized). We compute numerically the temperature dependence of
the $1/T_1$. We consider both gapped and gapless phases, and also the proximity
of quantum critical points. At temperatures much lower than the typical
exchange energy scale our results are in excellent agreement with analytical
results, such as the ones derived from the Tomonaga-Luttinger liquid (TLL)
theory and bosonization which are valid in this regime. We also cover the
regime for which the temperature $T$ is comparable to the exchange coupling. In
this case analytical theories are not appropriate but this regime is relevant
for various new compounds with exchange couplings in the range of tens of
Kelvin. For the gapped phases, either the fully polarized phase for spins
chains or the low magnetic field phase for the dimerized systems, we find an
exponential decrease in $\Delta/(k_BT)$ of the relaxation time and can compute
the gap $\Delta$. Close to the quantum critical point our results are in good
agreement with the a scaling behavior based on the existence of free
excitations.


title:
DDoS Attacks with Randomized Traffic Innovation: Botnet Identification
  Challenges and Strategies

abstract:
  Distributed Denial-of-Service (DDoS) attacks are usually launched through the
$botnet$, an "army" of compromised nodes hidden in the network. Inferential
tools for DDoS mitigation should accordingly enable an early and reliable
discrimination of the normal users from the compromised ones. Unfortunately,
the recent emergence of attacks performed at the application layer has
multiplied the number of possibilities that a botnet can exploit to conceal its
malicious activities. New challenges arise, which cannot be addressed by simply
borrowing the tools that have been successfully applied so far to earlier DDoS
paradigms. In this work, we offer basically three contributions: $i)$ we
introduce an abstract model for the aforementioned class of attacks, where the
botnet emulates normal traffic by continually learning admissible patterns from
the environment; $ii)$ we devise an inference algorithm that is shown to
provide a consistent (i.e., converging to the true solution as time progresses)
estimate of the botnet possibly hidden in the network; and $iii)$ we verify the
validity of the proposed inferential strategy over $real$ network traces.


title: Optimizing Trial Designs for Targeted Therapies

abstract:
  An important objective in the development of targeted therapies is to
identify the populations where the treatment under consideration has positive
benefit risk balance. We consider pivotal clinical trials, where the efficacy
of a treatment is tested in an overall population and/or in a pre-specified
subpopulation. Based on a decision theoretic framework we derive optimized
trial designs by maximizing utility functions. Features to be optimized include
the sample size and the population in which the trial is performed (the full
population or the targeted subgroup only) as well as the underlying multiple
test procedure. The approach accounts for prior knowledge of the efficacy of
the drug in the considered populations using a two dimensional prior
distribution. The considered utility functions account for the costs of the
clinical trial as well as the expected benefit when demonstrating efficacy in
the different subpopulations. We model utility functions from a sponsor's as
well as from a public health perspective, reflecting actual civil interests.
Examples of optimized trial designs obtained by numerical optimization are
presented for both perspectives.


title:
Limit theory for geometric statistics of point processes having fast
  decay of correlations

abstract:
  Let $P$ be a simple,stationary point process having fast decay of
correlations, i.e., its correlation functions factorize up to an additive error
decaying faster than any power of the separation distance. Let $P_n:= P \cap
W_n$ be its restriction to windows $W_n:= [-{1 \over 2}n^{1/d},{1 \over
2}n^{1/d}]^d \subset \mathbb{R}^d$. We consider the statistic $H_n^\xi:=
\sum_{x \in P_n}\xi(x,P_n)$ where $\xi(x,P_n)$ denotes a score function
representing the interaction of $x$ with respect to $P_n$. When $\xi$ depends
on local data in the sense that its radius of stabilization has an exponential
tail, we establish expectation asymptotics, variance asymptotics, and CLT for
$H_n^{\xi}$ and, more generally, for statistics of the re-scaled, possibly
signed, $\xi$-weighted point measures $\mu_n^{\xi} := \sum_{x \in P_n}
\xi(x,P_n) \delta_{n^{-1/d}x}$, as $W_n \uparrow \mathbb{R}^d$. This gives the
limit theory for non-linear geometric statistics (such as clique counts,
intrinsic volumes of the Boolean model, and total edge length of the
$k$-nearest neighbors graph) of $\alpha$-determinantal point processes having
fast decreasing kernels extending the CLTs of Soshnikov (2002) to non-linear
statistics. It also gives the limit theory for geometric U-statistics of
$\alpha$-permanental point processes and the zero set of Gaussian entire
functions, extending the CLTs of Nazarov and Sodin (2012) and Shirai and
Takahashi (2003), which are also confined to linear statistics. The proof of
the central limit theorem relies on a factorial moment expansion originating in
Blaszczyszyn (1995), Blaszczyszyn, Merzbach, Schmidt (1997) to show the fast
decay of the correlations of $\xi$-weighted point measures. The latter property
is shown to imply a condition equivalent to Brillinger mixing and consequently
yields the CLT for $\mu_n^\xi$ via an extension of the cumulant method.


title: On the Role of Triadic Substructures in Complex Networks

abstract:
  In the course of the growth of the Internet and due to increasing
availability of data, over the last two decades, the field of network science
has established itself as an own area of research. With quantitative scientists
from computer science, mathematics, and physics working on datasets from
biology, economics, sociology, political sciences, and many others, network
science serves as a paradigm for interdisciplinary research. One of the major
goals in network science is to unravel the relationship between topological
graph structure and a network's function. As evidence suggests, systems from
the same fields, i.e. with similar function, tend to exhibit similar structure.
However, it is still vague whether a similar graph structure automatically
implies likewise function. This dissertation aims at helping to bridge this
gap, while particularly focusing on the role of triadic structures. After a
general introduction to the main concepts of network science, existing work
devoted to the relevance of triadic substructures is reviewed. A major
challenge in modeling such structure is the fact that not all three-node
subgraphs can be specified independently of each other, as pairs of nodes may
participate in multiple triadic subgraphs. In order to overcome this obstacle,
a novel class of generative network models based on pair-disjoint triadic
building blocks is suggested. It is further investigated whether triad motifs -
subgraph patterns which appear significantly more frequently than expected at
random - occur homogeneously or heterogeneously distributed over graphs.
Finally, the influence of triadic substructure on the evolution of dynamical
processes acting on their nodes is studied. It is observed that certain motifs
impose clear signatures on the systems' dynamics, even when embedded in a
larger network structure.

categories: cs.SI cond-mat.stat-mech physics.data-an physics.soc-ph


title:
Interface free-energy exponent in the one-dimensional Ising spin glass
  with long-range interactions in both the droplet and broken replica symmetry
  regions

abstract:
  The one-dimensional Ising spin-glass model with power-law long-range
interactions is a useful proxy model for studying spin glasses in higher space
dimensions and for finding the dimension at which the spin-glass state changes
from having broken replica symmetry to that of droplet behavior. To this end we
have calculated the exponent that describes the difference in free energy
between periodic and antiperiodic boundary conditions. Numerical work is done
to support some of the assumptions made in the calculations and to determine
the behavior of the interface free-energy exponent of the power law of the
interactions. Our numerical results for the interface free-energy exponent are
badly affected by finite-size problems.


title:
Precise QCD predictions for the production of dijet final states in deep
  inelastic scattering

abstract:
  The production of two-jet final states in deep inelastic scattering is an
important QCD precision observable. We compute it for the first time to
next-to-next-to-leading order (NNLO) in perturbative QCD. Our calculation is
fully differential in the lepton and jet variables and allows one to impose
cuts on the jets both in the laboratory and the Breit frame. We observe that
the NNLO corrections are moderate in size, except at kinematical edges, and
that their inclusion leads to a substantial reduction of the scale variation
uncertainty on the predictions. Our results will enable the inclusion of deep
inelastic dijet data in precision phenomenology studies.


title: What Communication Modalities Do Users Prefer in Real Time HRI?

abstract:
  This paper investigates users' preferred interaction modalities when playing
an imitation game with KASPAR, a small child-sized humanoid robot. The study
involved 16 adult participants teaching the robot to mime a nursery rhyme via
one of three interaction modalities in a real-time Human-Robot Interaction
(HRI) experiment: voice, guiding touch and visual demonstration. The findings
suggest that the users appeared to have no preference in terms of human effort
for completing the task. However, there was a significant difference in human
enjoyment preferences of input modality and a marginal difference in the
robot's perceived ability to imitate.


title: Good subsemigroups of $\mathbb N^n$

abstract:
  Value semigroups of non irreducible singular algebraic curves and their
fractional ideals are submonoids of $\mathbb Z^n$ that are closed under
infimums, have a conductor and fulfill a special compatibility property on
their elements. Monoids of $\mathbb N^n$ fulfilling these three conditions are
known in the literature as good semigroups and there are examples of good
semigroups that are not realizable as the value semigroup of an algebraic
curve. In this paper we consider good semigroups independently from their
algebraic counterpart, in a purely combinatoric setting. We define the concept
of good system of generators, and we show that minimal good systems of
generators are unique. Moreover, we give a constructive way to compute the
canonical ideal and the Arf closure of a good subsemigroup when $n=2$.


title: On the large-scale geometry of diffeomorphism groups of $1$-manifolds

abstract:
  We apply the framework of Rosendal to study the large-scale geometry of the
topological groups $\Diff_+^k(M^1)$, consisting of orientation-preserving
$C^k$-diffeomorphisms (for $1\leq k\leq\infty$) of a compact $1$-manifold $M^1$
($=I$ or $\mathbb{S}^1$). We characterize the relative property (OB) in such
groups: $A\subseteq\Diff_+^k(M^1)$ has property (OB) relative to
$\Diff_+^k(M^1)$ if and only if $\displaystyle\sup_{f\in A}\sup_{x\in M^1}|\log
f'(x)|<\infty$ and $\displaystyle\sup_{f\in A}\sup_{x\in
M^1}|f^{(j)}(x)|<\infty$ for every integer $2\leq j\leq k$. We deduce that
$\Diff_+^k(M^1)$ has the local property (OB), and consequently a well-defined
non-trivial quasi-isometry class, if and only if $k<\infty$. We show that the
groups $\Diff_+^1(I)$ and $\Diff_+^1(\mathbb{S}^1)$ are quasi-isometric to the
infinite-dimensional Banach space $C[0,1]$.


title:
Thermalization of holographic Wilson loops in spacetimes with spatial
  anisotropy

abstract:
  In this paper, we study behaviour of Wilson loops in the boost-invariant
nonequilibrium anisotropic quark-gluon plasma produced in heavy-ion collisions
within the holographic approach. We describe the thermalization studying the
evolution of the Vaidya metric in the boost-invariant and spatially anisotropic
background. To probe the system during this process we calculate rectangular
Wilson loops oriented in different spatial directions. We find that anisotropic
effects are more visible for the Wilson loops lying in the transversal plane
unlike the Wilson loops with partially longitudinal orientation. In particular,
we observe that the Wilson loops can thermalizes first unlike to the order of
the isotropic model. We see that Wilson loops on transversal contours have the
shortest thermalization time. We also calculate the string tension and the
pseudopotential at different temperatures for the static quark-gluon plasma. We
show that the pseudopotential related to the configuration on the transversal
plane has the screened Cornell form. We also show that the jet-quenching
parameter related with the average of the light-like Wilson loop exhibits the
dependence on orientations.


title:
Size growth of red-sequence early-type galaxies in clusters in the last
  10 Gyr

abstract:
  We carried out a photometric and structural analysis in the rest-frame $V$
band of a mass-selected ($\log M/M_\odot >10.7$) sample of red-sequence
galaxies in 14 galaxy clusters, 6 of which are at $z>1.45$. To this end, we
reduced/analyzed about 300 orbits of multicolor images taken with the Advanced
Camera for Survey and the Wide Field Camera 3 on the Hubble Space Telescope. We
uniformly morphologically classified galaxies from $z=0.023$ to $z=1.803$, and
we homogeneously derived sizes (effective radii) for the entire sample.
Furthermore, our size derivation allows, and therefore is not biased by, the
presence of the usual variety of morphological structures seen in early-type
galaxies, such as bulges, bars, disks, isophote twists, and ellipiticy
gradients. By using such a mass-selected sample, composed of 244 red-sequence
early-type galaxies, we find that the $\log$ of the galaxy size at a fixed
stellar mass, $\log M/M_\odot= 11$ has increased with time at a rate of
$0.023\pm0.002$ dex per Gyr over the last 10 Gyr, in marked contrast with the
threefold increase found in the literature for galaxies in the general field
over the same period. This suggests, at face value, that secular processes
should be excluded as the primary drivers of size evolution because we observed
an environmental environmental dependent size growth. Using spectroscopic ages
of Coma early-type galaxies we also find that recently quenched early-type
galaxies are a numerically minor population not different enough in size to
alter the mean size at a given mass, which implies that the progenitor bias is
minor, i.e., that the size evolution measured by selecting galaxies at the
redshift of observation is indistinguishable from the one that compares
ancestors and descendents.


title:
Stellar wind-magnetosphere interaction at exoplanets: computations of
  auroral radio powers

abstract:
  We present calculations of the auroral radio powers expected from exoplanets
with magnetospheres driven by an Earth-like magnetospheric interaction with the
solar wind. Specifically, we compute the twin cell-vortical ionospheric flows,
currents, and resulting radio powers resulting from a Dungey cycle process
driven by dayside and nightside magnetic reconnection, as a function of
planetary orbital distance and magnetic field strength. We include saturation
of the magnetospheric convection, as observed at the terrestrial magnetosphere,
and we present power law approximations for the convection potentials, radio
powers and spectral flux densities. We specifically consider a solar-age system
and a young (1 Gyr) system. We show that the radio power increases with
magnetic field strength for magnetospheres with saturated convection potential,
and broadly decreases with increasing orbital distance. We show that the
magnetospheric convection at hot Jupiters will be saturated, and thus unable to
dissipate the full available incident Poynting flux, such that the magnetic
Radiometric Bode's Law (RBL) presents a substantial overestimation of the radio
powers for hot Jupiters. Our radio powers for hot Jupiters are $\sim$5-1300 TW
for hot Jupiters with field strengths of 0.1-10 $B_J$ orbiting a Sun-like star,
while we find that competing effects yield essentially identical powers for hot
Jupiters orbiting a young Sun-like star. However, in particular for planets
with weaker magnetic fields our powers are higher at larger orbital distances
than given by the RBL, and there are many configurations of planet that are
expected to be detectable using SKA.


title: Inference on subspheres model for directional data

abstract:
  Modeling deformations of a real object is an important task in computer
vision, biomedical engineering and biomechanics. In this paper, we focus on a
situation where a three-dimensional object is rotationally deformed about a
fixed axis, and assume that many independent observations are available. Such a
problem is generalized to an estimation of concentric, co-dimension 1,
subspheres of a polysphere. We formulate least-square estimators as generalized
Fr\'{e}chet means, and evaluate the consistency and asymptotic normality.


title:
Origins and optimization of entanglement in plasmonically coupled
  quantum dots

abstract:
  A system of two or more quantum dots interacting with a dissipative plasmonic
nanostructure is investigated in detail by using a cavity quantum
electrodynamics approach with a model Hamiltonian. We focus on determining and
understanding system configurations that generate multiple bipartite quantum
entanglements between the occupation states of the quantum dots. These
configurations include allowing for the quantum dots to be asymmetrically
coupled to the plasmonic system. Analytical solution of a simplified limit for
an arbitrary number of quantum dots and numerical simulations and optimization
for the two- and three-dot cases are used to develop guidelines for maximizing
the bipartite entanglements. For any number of quantum dots, we show that
through simple starting states and parameter guidelines, one quantum dot can be
made to share a strong amount of bipartite entanglement with all other quantum
dots in the system, while entangling all other pairs to a lesser degree.