title: On the computation of moist-air specific thermal enthalpy

abstract:
  The specific thermal enthalpy of a moist-air parcel is defined analytically
following a method in which specific moist entropy is derived from the Third
Law of thermodynamics. Specific thermal enthalpy is computed by integrating
specific heat content with respect to absolute temperature and including the
impacts of various latent heats (i.e., solid condensation, sublimation,
melting, and evaporation). It is assumed that thermal enthalpies can be set to
zero at $0$ K for the solid form of the main chemically inactive components of
the atmosphere (solid-$\alpha$ oxygen and nitrogen, hexagonal ice). The moist
thermal enthalpy is compared to already existing formulations of moist static
energy (MSE). It is shown that the differences between thermal enthalpy and the
thermal part of MSE may be quite large. This prevents the use of MSE to
evaluate the enthalpy budget of a moist atmosphere accurately, a situation that
is particularly true when dry-air and cloud parcels mix because of
entrainment/detrainment processes along the edges of cloud. Other differences
are observed when MSE or moist-air thermal enthalpy is plotted on a
psychrometric diagram or when vertical profiles of surface deficit are plotted.


title:
Exploiting all phone media? A multidimensional network analysis of phone
  users' sociality

abstract:
  The growing awareness that human communications and social interactions are
assuming a stratified structure, due to the availability of multiple
techno-communication channels, including online social networks, mobile phone
calls, short messages (SMS) and e-mails, has recently led to the study of
multidimensional networks, as a step further the classical Social Network
Analysis. A few papers have been dedicated to develop the theoretical framework
to deal with such multiplex networks and to analyze some example of
multidimensional social networks. In this context we perform the first study of
the multiplex mobile social network, gathered from the records of both call and
text message activities of millions of users of a large mobile phone operator
over a period of 12 weeks. While social networks constructed from mobile phone
datasets have drawn great attention in recent years, so far studies have dealt
with text message and call data, separately, providing a very partial view of
people sociality expressed on phone. Here we analyze how the call and the text
message dimensions overlap showing how many information about links and nodes
could be lost only accounting for a single layer and how users adopt different
media channels to interact with their neighborhood.


title:
From Polar to Reed-Muller Codes: a Technique to Improve the
  Finite-Length Performance

abstract:
  We explore the relationship between polar and RM codes and we describe a
coding scheme which improves upon the performance of the standard polar code at
practical block lengths. Our starting point is the experimental observation
that RM codes have a smaller error probability than polar codes under MAP
decoding. This motivates us to introduce a family of codes that "interpolates"
between RM and polar codes, call this family ${\mathcal C}_{\rm inter} =
\{C_{\alpha} : \alpha \in [0, 1]\}$, where $C_{\alpha} \big |_{\alpha = 1}$ is
the original polar code, and $C_{\alpha} \big |_{\alpha = 0}$ is an RM code.
Based on numerical observations, we remark that the error probability under MAP
decoding is an increasing function of $\alpha$. MAP decoding has in general
exponential complexity, but empirically the performance of polar codes at
finite block lengths is boosted by moving along the family ${\mathcal C}_{\rm
inter}$ even under low-complexity decoding schemes such as, for instance,
belief propagation or successive cancellation list decoder. We demonstrate the
performance gain via numerical simulations for transmission over the erasure
channel as well as the Gaussian channel.


title: Coxeter Polynomials of Salem trees

abstract:
  We compute the Coxeter polynomial of a family of Salem trees, and also the
limit of the spectral radii of their Coxeter transformations as the number of
their vertices tends to infinity. We also prove a relation about multiplicities
of eigenvalues of Coxeter transformations of joins of trees.


title:
Cancellation of Power Amplifier Induced Nonlinear Self-Interference in
  Full-Duplex Transceivers

abstract:
  Recently, full-duplex (FD) communications with simultaneous transmission and
reception on the same channel has been proposed. The FD receiver, however,
suffers from inevitable self-interference (SI) from the much more powerful
transmit signal. Analogue radio-frequency (RF) and baseband, as well as digital
baseband, cancellation techniques have been proposed for suppressing the SI,
but so far most of the studies have failed to take into account the inherent
nonlinearities of the transmitter and receiver front-ends. To fill this gap,
this article proposes a novel digital nonlinear interference cancellation
technique to mitigate the power amplifier (PA) induced nonlinear SI in a FD
transceiver. The technique is based on modeling the nonlinear SI channel, which
is comprised of the nonlinear PA, the linear multipath SI channel, and the RF
SI canceller, with a parallel Hammerstein nonlinearity. Stemming from the
modeling, and appropriate parameter estimation, the known transmit data is then
processed with the developed nonlinear parallel Hammerstein structure and
suppressed from the receiver path at digital baseband. The results illustrate
that with a given IIP3 figure for the PA, the proposed technique enables higher
transmit power to be used compared to existing linear SI cancellation methods.
Alternatively, for a given maximum transmit power level, a lower-quality PA
(i.e., lower IIP3) can be used.


title:
KIC 3858884: a hybrid {\delta} Sct pulsator in a highly eccentric
  eclipsing binary

abstract:
  The analysis of eclipsing binaries containing non-radial pulsators allows: i)
to combine two different and independent sources of information on the internal
structure and evolutionary status of the components, and ii) to study the
effects of tidal forces on pulsations. KIC 3858884 is a bright Kepler target
whose light curve shows deep eclipses, complex pulsation patterns with
pulsation frequencies typical of {\delta} Sct, and a highly eccentric orbit. We
present the result of the analysis of Kepler photometry and of high resolution
phaseresolved spectroscopy. Spectroscopy yielded both the radial velocity
curves and, after spectral disentangling, the primary component effective
temperature and metallicity, and line-of-sight projected rotational velocities.
The Kepler light curve was analyzed with an iterative procedure devised to
disentangle eclipses from pulsations which takes into account the visibility of
the pulsating star during eclipses. The search for the best set of binary
parameters was performed combining the synthetic light curve models with a
genetic minimization algorithm, which yielded a robust and accurate
determination of the system parameters. The binary components have very similar
masses (1.88 and 1.86 Msun) and effective temperatures (6800 and 6600 K), but
different radii (3.45 and 3.05 Rsun). The comparison with the theoretical
models evidenced a somewhat different evolutionary status of the components and
the need of introducing overshooting in the models. The pulsation analysis
indicates a hybrid nature of the pulsating (secondary) component, the
corresponding high order g-modes might be excited by an intrinsic mechanism or
by tidal forces.


title: The X-ray coronae of the two brightest galaxies in the Coma cluster

abstract:
  We use deep Chandra X-ray Observatory observations to examine the coronae of
the two brightest cluster galaxies in the Coma cluster of galaxies, NGC 4874
and NGC 4889. We find that NGC 4889 hosts a central depression in X-ray surface
brightness consistent with a cavity or pair of cavities of radius 0.6 kpc. If
the central cavity is associated with an AGN outburst and contains relativistic
material, its enthalpy should be around 5x10^55 erg. The implied heating power
of this cavity would be around an order of magnitude larger than the energy
lost by X-ray emission. It would be the smallest and youngest known cavity in a
brightest cluster galaxy and the lack of over pressuring implies heating is
still gentle. In contrast, NGC 4874 does not show any evidence for cavities,
although it hosts a well-known wide-angle-tail radio source which is visible
outside the region occupied by the X-ray corona. These two galaxies show that
AGN feedback can behave in varied ways in the same cluster environment.


title: On subcontinua and continuous images of beta R\R

abstract:
  We prove that the Cech-Stone remainder of the real line has a family of 2^c
mutually non-homeomorphic subcontinua.
  We also exhibit a consistent example of a first-countable continuum that is
not a continuous image of this remainder.


title: Capital adequacy tests and limited liability of financial institutions

abstract:
  The theory of acceptance sets and their associated risk measures plays a key
role in the design of capital adequacy tests. The objective of this paper is to
investigate, in the context of bounded financial positions, the class of
surplus-invariant acceptance sets. These are characterized by the fact that
acceptability does not depend on the positive part, or surplus, of a capital
position. We argue that surplus invariance is a reasonable requirement from a
regulatory perspective, because it focuses on the interests of liability
holders of a financial institution. We provide a dual characterization of
surplus-invariant, convex acceptance sets, and show that the combination of
surplus invariance and coherence leads to a narrow range of capital adequacy
tests, essentially limited to scenario-based tests. Finally, we emphasize the
advantages of dealing with surplus-invariant acceptance sets as the primary
object rather than directly with risk measures, such as loss-based and
excess-invariant risk measures, which have been recently studied by Cont,
Deguest, and He (2013) and by Staum (2013), respectively.


title: Precise and ultrafast molecular sieving through graphene oxide membranes

abstract:
  There has been intense interest in filtration and separation properties of
graphene-based materials that can have well-defined nanometer pores and exhibit
low frictional water flow inside them. Here we investigate molecular permeation
through graphene oxide laminates. They are vacuum-tight in the dry state but,
if immersed in water, act as molecular sieves blocking all solutes with
hydrated radii larger than 4.5A. Smaller ions permeate through the membranes
with little impedance, many orders of magnitude faster than the diffusion
mechanism can account for. We explain this behavior by a network of
nanocapillaries that open up in the hydrated state and accept only species that
fit in. The ultrafast separation of small salts is attributed to an 'ion
sponge' effect that results in highly concentrated salt solutions inside
graphene capillaries.


title: A complete complex hypersurface in the ball of C^N

abstract:
  In 1977 P.Yang asked whether there exist complete immersed complex
submanifolds g : M^k --> C^N with bounded image. A positive answer is known for
holomorphic curves (k=1) and partial answers are known for the case when k>1.
The principal result of the present paper is a construction of a holomorphic
function on the open unit ball B_N of C^N whose real part is unbounded on every
path in B_N of finite length that ends on the boundary of B_N. A consequence is
the existence of a complete, closed, complex hypersurface in B_N. This gives a
positive answer to Yang's question in all dimensions k, N, 1\leq k<N, by
providing properly embedded complete complex manifolds.


title: A different look at controllability

abstract:
  We explore further controllability problems through a standard least square
approach. By setting up a suitable error functional $E$, and putting $m(\ge0)$
for the infimum, we interpret approximate controllability by asking $m=0$,
while exact controllability corresponds, in addition, to demanding that $m$ is
attained. We also provide a condition, formulated entirely in terms of the
error $E$, which turns out to be equivalent to the unique continuation
property, and to approximate controllability. Though we restrict attention here
to the 1D, homogeneous heat equation to explain the main ideas, they can be
extended in a similar way to many other scenarios some of which have already
been explored numerically, due to the flexibility of the procedure for the
numerical approximation.


title:
Distant activity of comet C/2002 VQ94 (LINEAR): optical
  spectrophotometric monitoring between 8.4 and 16.8 au from the Sun

abstract:
  Spectrophotometric monitoring of distant comet C/2002 VQ94 (LINEAR) was
performed with the 6-m telescope of SAO RAS and with the 2.5-m Nordic Optical
Telescope between 2008 and 2013. During this period the comet was on the
outbound segment of its orbit, between heliocentric distances of 8.36 au and
16.84 au. Analysis of the spectra revealed the presence of the CO$^+$ and
N$_2^+$ emissions in the cometary coma at a distance of 8.36 au from the Sun.
This distance is larger than ionic emissions have been detected in any previous
objects. Only continuum, with no traces of emissions, was detected in the
spectrum obtained in 2009 when the comet was at a distance of 9.86 au. From the
spectra obtained in 2008, average column densities of 2.04$\times$10$^9$ mol
cm$^{-2}$ for N$_2^+$ and 3.26$\times$10$^{10}$ mol cm$^{-2}$ for CO$^+$ were
measured in the cometary coma. The derived values correspond to
N$_2^+$/CO$^+$=0.06 within the projected slit. The parameter, which is used as
an indicator of cometary activity, was measured as 2000 cm in 2008, and 800 cm
in 2009 and 2011. The values correspond to dust production rates between 10-20
kg s$^{-1}$, 4-6 kg s$^{-1}$ and 3-5 kg s$^{-1}$ at 8.36, 9.86, and 13.40 au
respectively. There is an obvious correlation between the decrease of the dust
production rate of the nucleus and the disappearance of the emissions in the
spectrum of C/2002 VQ94 (LINEAR) at heliocentric distances greater than 9 au.
The colors and size of the nucleus of C/2002 VQ94 (LINEAR) were estimated from
the images obtained during the late stage at a heliocentric distance of 16.84
au, when the activity had probable ceased. The B-V and V-R colors were
estimated to be 1.07$\pm$0.05 and 0.54$\pm$0.03 respectively. The effective
nucleus radius of 48$\pm$2 km is in agreement with the previously published
results, obtained from the observations of the comet during its early inactive
stage.


title:
Flux phase as possible time-reversal symmetry breaking surface states of
  high-$T_C$ cuprate superconductors

abstract:
  At a (110) surface of a $d_{x^2-y-2}$-wave superconductor, superconducting
order is strongly suppressed. In such a situation, ordered states that are
forbidden in the bulk may arise. This problem is studied for high-$T_C$ cuprate
superconductors by treating the $t-J$ model with extended transfer integrals
using the Bogoliubov de Gennes method. It is found that a flux phase with
staggered currents along the surface, or an antiferromagnetic state can occur
near the surface. Stability of the emergent surface states is different from
system to system depending on the shapes of their Fermi surfaces. Possible
relation to the experiments on the Kerr effect that suggest time-reversal
symmetry breaking is discussed.


title: Stable properties of hyperreflexivity

abstract:
  Recently a new equivalence relation between weak* closed operator spaces
acting on Hilbert spaces has appeared. Two weak* closed operator spaces U, V
are called weak TRO equivalent if there exist ternary rings of operators M_i,
i=1,2 such that U=[ M_2 V M_1^*]^{-w^*}, V=[ M_2^* U M_1]^{-w^*} . Weak TRO
equivalent spaces are stably isomorphic, and conversely, stably isomorphic dual
operator spaces have normal completely isometric representations with weak TRO
equivalent images. In this paper, we prove that if cl U and V are weak TRO
equivalent operator spaces and the space of I x I matrices with entries in U,
M_I^w( U), is hyperreflexive for suitable infinite I, then so is M_I^w( V). We
describe situations where if L1, L are isomorphic lattices, then the
corresponding algebras Alg{L1}, Alg{L2} have the same complete hyperreflexivity
constant.


title: Direct determination of internal radiation dose in human blood

abstract:
  The purpose of this study is to measure the internal radiation dose using a
human blood sample. In the literature, there is no process that allows the
direct measurement of the internal radiation dose received by a person. The
luminescence counts from a blood sample having a laboratory-injected radiation
dose and the waste blood of the patient injected with a radiopharmaceutical for
diagnostic purposes were both measured. The decay and dose-response curves were
plotted for the different doses. The doses received by the different blood
aliquots can be determined by interpolating the luminescence counts to the
dose-response curve. This study shows that the dose received by a person can be
measured directly, simply and retrospectively by using only a very small amount
of blood sample. The results will have important ramifications for the medicine
and healthcare fields in particular. This will also be very important in cases
of suspicion of radiation poisoning, malpractice and so on.


title: An atlas of domination polynomials of graphs of order at most six

abstract:
  The domination polynomial of a graph $G$ of order $n$ is the polynomial
$D(G,x)=\sum_{i=\gamma(G)}^{n} d(G,i) x^{i}$, where $d(G,i)$ is the number of
dominating sets of $G$ of size $i$, and $\gamma(G)$ is the domination number of
$G$. The roots of domination polynomial is called domination roots. In this
article, we compute the domination polynomial and domination roots of all
graphs of order less than or equal to 6, and show them in the tables.


title:
Locally normal subgroups of totally disconnected groups. Part II:
  Compactly generated simple groups

abstract:
  We use the structure lattice, introduced in Part I, to undertake a systematic
study of the class $\mathscr S$ consisting of compactly generated,
topologically simple, totally disconnected locally compact groups that are
non-discrete. Given $G \in \mathscr S$, we show that compact open subgroups of
$G$ involve finitely many isomorphism types of composition factors, and do not
have any soluble normal subgroup other than the trivial one. By results of Part
I, this implies that the centraliser lattice and local decomposition lattice of
$G$ are Boolean algebras. We show that the $G$-action on the Stone space of
those Boolean algebras is minimal, strongly proximal, and micro-supported.
Building upon those results, we obtain partial answers to the following key
problems: Are all groups in $\mathscr S$ abstractly simple? Can a group in
$\mathscr S$ be amenable? Can a group in $\mathscr S$ be such that the
contraction groups of all of its elements are trivial?


title:
New inversion, convolution and Titchmarsh's theorems for the
  half-Hartley transform

abstract:
  The generalized Parseval equality for the Mellin transform is employed to
prove the inversion theorem in L_2 with the respective inverse operator related
to the Hartley transform on the nonnegative half-axis (the half-Hartley
transform). Moreover, involving the convolution method, which is based on the
double Mellin-Barnes integrals, the corresponding convolution and Titchmarsh's
theorems for the half-Hartley transform are established. As an application, we
consider solvability conditions for a homogeneous integral equation of the
second kind involving the Hartley kernel.


title: Recursive construction of operator product expansion coefficients

abstract:
  We derive a novel formula for the derivative of operator product expansion
(OPE) coefficients with respect to a coupling constant. The formula only
involves the OPE coefficients themselves, and no further input, and is in this
sense self-consistent. Furthermore, unlike other formal identities of this
general nature in quantum field theory (such as the formal expression for the
Lagrangian perturbation of a correlation function), our formula is completely
well-defined from the start, i.e. requires no further UV-renormalization. This
feature is a result of a cancelation of UV-divergences between various terms in
our identity. Our proof, and an analysis of the features, of our identity is
given for the example of massive, Euclidean $\varphi^4$ theory in 4 dimensional
Euclidean space, and relies heavily on the framework of the renormalization
group flow equations. It is valid to arbitrary, but finite orders in
perturbation theory. The final formula, however, makes no explicit reference to
the renormalization group flow, nor to perturbation theory, and we conjecture
that it also holds non-perturbatively. The identity can be applied
constructively because it gives recursive algorithm for the computation of OPE
coefficients to arbitrary (finite) perturbation order in terms of the zeroth
order coefficients corresponding to the underlying free field theory, which in
turn are trivial to obtain. We briefly illustrate the relation of this method
to more standard methods for computing the OPE in some simple examples.


title: Bartering integer commodities with exogenous prices

abstract:
  The analysis of markets with indivisible goods and fixed exogenous prices has
played an important role in economic models, especially in relation to wage
rigidity and unemployment. This research report provides a mathematical and
computational details associated to the mathematical programming based
approaches proposed by Nasini et al. (accepted 2014) to study pure exchange
economies where discrete amounts of commodities are exchanged at fixed prices.
Barter processes, consisting in sequences of elementary reallocations of couple
of commodities among couples of agents, are formalized as local searches
converging to equilibrium allocations. A direct application of the analyzed
processes in the context of computational economics is provided, along with a
Java implementation of the approaches described in this research report.


title: The Blackwell relation defines no lattice

abstract:
  Blackwell's theorem shows the equivalence of two preorders on the set of
information channels. Here, we restate, and slightly generalize, his result in
terms of random variables. Furthermore, we prove that the corresponding partial
order is not a lattice; that is, least upper bounds and greatest lower bounds
do not exist.


title: Multi-way dual Cheeger constants and spectral bounds of graphs

abstract:
  We introduce a set of multi-way dual Cheeger constants and prove universal
higher-order dual Cheeger inequalities for eigenvalues of normalized Laplace
operators on weighted finite graphs. Our proof proposes a new spectral
clustering phenomenon deduced from metrics on real projective spaces. We
further extend those results to a general reversible Markov operator and find
applications in characterizing its essential spectrum.


title: Dynamic Topology Adaptation and Distributed Estimation for Smart Grids

abstract:
  This paper presents new dynamic topology adaptation strategies for
distributed estimation in smart grids systems. We propose a dynamic exhaustive
search--based topology adaptation algorithm and a dynamic sparsity--inspired
topology adaptation algorithm, which can exploit the topology of smart grids
with poor--quality links and obtain performance gains. We incorporate an
optimized combining rule, named Hastings rule into our proposed dynamic
topology adaptation algorithms. Compared with the existing works in the
literature on distributed estimation, the proposed algorithms have a better
convergence rate and significantly improve the system performance. The
performance of the proposed algorithms is compared with that of existing
algorithms in the IEEE 14--bus system.


title:
The VLT-FLAMES Tarantula Survey. XV. VFTS\,822: a candidate Herbig B[e]
  star at low metallicity

abstract:
  We report the discovery of the B[e] star VFTS 822 in the 30 Doradus
star-forming region of the Large Magellanic Cloud, classified by optical
spectroscopy from the VLT-FLAMES Tarantula Survey and complementary infrared
photometry. VFTS 822 is a relatively low-luminosity (log $L$ = 4.04 $\pm$ 0.25
$L_{\odot}$) B8[e] star. In this Letter, we evaluate the evolutionary status of
VFTS 822 and discuss its candidacy as a Herbig B[e] star. If the object is
indeed in the pre-main sequence phase, it would present an exciting opportunity
to measure mass accretion rates at low metallicity spectroscopically, to
understand the effect of metallicity on accretion rates.


title: The cubic case of the main conjecture in Vinogradov's mean value theorem

abstract:
  We apply a variant of the multigrade efficient congruencing method to
estimate Vinogradov's integral of degree $3$ for moments of order $2s$,
establishing strongly diagonal behaviour for $1\le s\le 6$. Consequently, the
main conjecture is now known to hold for the first time in a case of degree
exceeding $2$.


title: Vacuum alignment and lattice artifacts: staggered fermions

abstract:
  In confining lattice gauge theories in which part of the flavor group is
coupled weakly to additional gauge fields, both the dynamics of the weak gauge
fields as well as lattice artifacts may have non-trivial effects on the
orientation of the vacuum in flavor space. Here we discuss this issue for
lattice gauge theories employing staggered fermions. Staggered fermions break
flavor symmetries to a much smaller group on the lattice, and orientations in
flavor space that are equivalent in the continuum may be distinct on the
lattice. Assuming universality, we show that in the continuum limit the weakly
gauged flavor symmetries are always vector-like, disproving a recent claim in
the literature.


title:
On the Geometry and Kinematics of Smoothly Distributed and Singular
  Defects

abstract:
  A continuum mechanical framework for the description of the geometry and
kinematics of defects in material structure is proposed. The setting applies to
a body manifold of any dimension which is devoid of a Riemannian or a
parallelism structure. In addition, both continuous distributions of defects as
well as singular distributions are encompassed by the theory. In the general
case, the material structure is specified by a de Rham current $T$ and the
associated defects are given by its boundary. For a motion of defects
associated with a family of diffeomorphisms of a material body, it is shown
that the rate of change of the distribution of defects is given by the dual of
the Lie derivative operator.


title:
Direct and Inverse Source Problem for a Space Fractional Advection
  Dispersion Equation

abstract:
  In this paper, direct and inverse problems for a space fractional advection
dispersion equation on a finite domain are studied. The inverse problem
consists in determining the source term from a final observation. We first
drive the fundamental solution to the direct problem and we show that the
relation between source and the final observation is linear. Moreover, we study
the well-posedness of both problems: existence, uniqueness and stability.
Finally, we illustrate the results with a numerical example.


title:
Fidelity susceptibility and quantum Fisher information for density
  operators with arbitrary ranks

abstract:
  Taking into account the density matrices with non-full ranks, we show that
the fidelity susceptibility is determined by the support of the density matrix.
Combining with the corresponding expression of the quantum Fisher information,
we rigorously prove that the fidelity susceptibility is proportional to the
quantum Fisher information. As this proof can be naturally extended to the full
rank case, this proportional relation is generally established for density
matrices with arbitrary ranks. Furthermore, we give an analytical expression of
the quantum Fisher information matrix, and show that the quantum Fisher
information matrix can also be represented in the density matrix's support.


title: Teleparallel Poincar\'{e} Cosmology and $\Lambda$CDM Model

abstract:
  We apply the teleparallelism condition to the Poincar\'{e} gauge theory of
gravity. The resultant teleparallelized cosmology is completely equivalent to
the Friedmann cosmology derived from Einstein's general theory of relativity.
The torsion is shown to play the role of the cosmological constant driving the
cosmic acceleration. We then extend such theory to include the effect of spin
and explore the possibility of accounting for the current accelerating universe
by a spinning dark energy.


title:
Resolution of Discrete Excited States in InGaN Multiple Quantum Wells
  using Degenerate Four Wave Mixing

abstract:
  We report on two pulse, degenerate four wave mixing (DFWM) measurements on
shallow InGaN/GaN multi-quantum wells (MQWs) grown on sapphire substrates.
These reveal pulse length limited signal decays. We have found a 10:1 resonant
enhancement of the DFWM signal at the excitonic transition frequencies which
thereby give a sharp discrimination of the discrete excitonic contributions
within the featureless distribution seen in absorption spectra. The exciton
resonances have peak positions, which yield good overall agreement with a full
k.P model calculation for the quantum well energy levels and optical transition
matrix elements. InGaN/GaN MQWs generally exhibit strongly inhomogeneously
broadened excitation spectra due to indium fluctuation effects; this approach
therefore affords a practical method to extract information on the excited
excitonic states not available previously


title: Solving P - Norm Intuitionistic Fuzzy Programming Problem

abstract:
  In this paper, notion of p - norm generalized trapezoidal intuitionistic
fuzzy numbers is introduced. A new ranking method is introduced for p - norm
generalized trapezoidal intuitionistic fuzzy numbers. Also we consider linear
programming problem in intuitionistic fuzzy environment. In this problem, all
the coefficients and variables are represented by p - norm generalized
trapezoidal intuitionistic fuzzy numbers. To overcome the limitations of the
existing methods, a new method is proposed to compute the intuitionistic fuzzy
optimal solution for intuitionistic fuzzy linear programming problem. An
illustrative numerical example is solved to demonstrate the efficiency of the
proposed approach.


title:
On non-singular crack fields in Helmholtz type enriched elasticity
  theories

abstract:
  Recently, simple non-singular stress fields of cracks of mode I and mode III
have been published by Aifantis (2009,2012), Isaksson and H\"agglund (2013) and
Isaksson et al. (2012). In this work we investigate the physical meaning and
interpretation of those solutions and if they satisfy important physical
conditions (equilibrium, boundary and compatibility conditions).


title:
Quantum transfer through a non-Markovian environment under frequent
  measurements and Zeno effect

abstract:
  We study transitions of a particle between two wells, separated by a
reservoir, under the condition that the particle is not detected in the
reservoir. Conventional quantum trajectory theory predicts that such no-result
continuous measurement would not affect these transitions. We demonstrate that
it holds only for Markovian reservoirs (infinite bandwidth $\Lambda$). In the
case of finite $\Lambda$, the probability of the particle's interwell
transition is a function of the ratio $\Lambda/\nu$, where $\nu$ is the
frequency of measurements. This scaling tells us that in the limit
$\nu\to\infty$, the measurement freezes the initial state (the quantum Zeno
effect), whereas for $\Lambda\to\infty$ it does not affect the particle's
transition across the reservoir. The scaling is proved analytically by deriving
a simple formula, which displays two regimes, with the Zeno effect and without
the Zeno effect. It also supports a simple explanation of the Zeno effect
entirely in terms of the energy-time uncertainty relation, with no explicit use
of the projection postulate. Experimental tests of our predictions are
discussed.


title:
Analysis as a source of geometry: a non-geometric representation of the
  Dirac equation

abstract:
  Consider a formally self-adjoint first order linear differential operator
acting on pairs (2-columns) of complex-valued scalar fields over a 4-manifold
without boundary. We examine the geometric content of such an operator and show
that it implicitly contains a Lorentzian metric, Pauli matrices, connection
coefficients for spinor fields and an electromagnetic covector potential. This
observation allows us to give a simple representation of the massive Dirac
equation as a system of four scalar equations involving an arbitrary two-by-two
matrix operator as above and its adjugate. The point of the paper is that in
order to write down the Dirac equation in the physically meaningful
4-dimensional hyperbolic setting one does not need any geometric constructs.
All the geometry required is contained in a single analytic object - an
abstract formally self-adjoint first order linear differential operator acting
on pairs of complex-valued scalar fields.


title: Identities of symmetry for expansion of q-Euler polynomials

abstract:
  In this paper, we investigate some symmetric properties of the multivariate
p-adic fermionic integrals on Zp and derive various identities concerning the
expansions of q-Euler polynomials from the symmetric properties of the
multivariate p-adic fermionic integrals on Zp


title: A simple model linking galaxy and dark matter evolution

abstract:
  We construct a simple phenomenological model for the evolving galaxy
population by incorporating pre-defined baryonic prescriptions into a dark
matter hierarchical merger tree. Specifically the model is based on the simple
gas-regulator model introduced by Lilly et al. 2013 coupled with the empirical
quenching rules of Peng et al. 2010/12. The simplest model already does quite
well in reproducing, without re-adjusting the input parameters, many
observables including the Main Sequence sSFR-mass relation, the faint end slope
of the galaxy mass function and the shape of the star-forming and passive mass
functions. Compared with observations and/or the recent phenomenological model
of Behroozi et al. 2013 based on epoch-dependent abundance-matching, our model
also qualitatively reproduces the evolution of the Main Sequence sSFR(z) and
SFRD(z) star formation rate density relations, the $M_s - M_h$ stellar-to-halo
mass relation and also the $SFR - M_h$ relation. Quantitatively the evolution
of sSFR(z) and SFRD(z) is not steep enough, the $M_s - M_h$ relation is not
quite peaked enough and, surprisingly, the ratio of quenched to star-forming
galaxies around M* is not quite high enough. We show that these deficiencies
can simultaneously be solved by ad hoc allowing galaxies to re-ingest some of
the gas previously expelled in winds, provided that this is done in a
mass-dependent and epoch-dependent way. These allow the model galaxies to
reduce an inherent tendency to saturate their star-formation efficiency. This
emphasizes how efficient galaxies around M* are in converting baryons into
stars and highlights the fact that quenching occurs just at the point when
galaxies are rapidly approaching the maximum possible efficiency of converting
baryons into stars.


title: Generation of Pulse Sequences with Periodic Spectral Phase Masks

abstract:
  We present a method for the generation of complex pulse sequences by using
periodic spectral phase modulation. An analytical expression is derived for the
temporal profile of such pulse sequences, which relates the temporal amplitudes
and phases of the subpulses to the Fourier components of the periodic phase
mask. We consider two families of periodic phase masks, namely, when a single
period is an odd or even function, and discuss the differences between the
resulting pulse sequences. The ability to generate pulse sequences with more
degrees of freedom provides an alternative parametrization for investigating
quantum coherent control landscapes. This is illustrated in the context of dark
pulses in nonresonant two-photon absorption.


title: Measurable Maximal Energy and Minimal Time Interval

abstract:
  The possibility of finding the measurable maximal energy and the minimal time
interval is discussed in different quantum aspects. It is found that the linear
generalized uncertainty principle (GUP) approach gives a non-physical result.
Based on large scale Schwarzshild solution, the quadratic GUP approach is
utilized. The calculations are performed at the shortest distance, at which the
general relativity is assumed to be a good approximation for the quantum
gravity and at larger distances, as well. It is found that both maximal energy
and minimal time have the order of the Planck time. Then, the uncertainties in
both quantities are accordingly bounded. Some physical insights are addressed.
Also, the implications on the physics of early Universe and on quantized mass
are outlined. The results are related to the existence of finite cosmological
constant and minimum mass (mass quanta).


title: Pion-assisted Nucleon-Delta and Delta-Delta dibaryons

abstract:
  N-Delta and Delta-Delta dibaryon candidates are discussed and related
quark-based calculations are reviewed. New hadronic calculations of L=0
nonstrange dibaryon candidates are reported. For N-Delta, I(JP)=1(2+) and 2(1+)
S-matrix poles slightly below threshold are found by solving pi-N-N Faddeev
equations with relativistic kinematics, and for Delta-Delta several S-matrix
poles below threshold are found by solving pi-N-Delta Faddeev equations with
relativistic kinematics in which the N-Delta interaction is dominated by the
1(2+) and 2(1+) resonating channels. In particular, the I(JP)=0(3+) Delta-Delta
dibaryon candidate D_{03}(2370) observed recently by the WASA@COSY
Collaboration is naturally explained in terms of long-range physics dominated
by pions, nucleons and Delta's. These calculations are so far the only ones to
reproduce the relatively small width, approximately 70 MeV, of D_{03}(2370).
Predictions are also made for the location and width of D_{30}, the I(JP)=3(0+)
exotic partner of D_{03}(2370).


title: Exponential Carmichael function

abstract:
  Consider exponential Carmichael function $\lambda^{(e)}$ such that
$\lambda^{(e)}$ is multiplicative and $\lambda^{(e)}(p^a) = \lambda(a)$, where
$\lambda$ is usual Carmichael function. We discuss the value of $\sum
\lambda^{(e)}(n)$, where $n$ runs over certain subsets of $[1,x]$, and provide
bounds on the error term, using analytic methods and especially estimates of
$\int_1^T \bigl| \zeta(\sigma+it) \bigr|^m dt$.


title:
Quasi-Hadamard differentiability of general risk functionals and its
  application

abstract:
  We apply a suitable modification of the functional delta method to
statistical functionals that arise from law-invariant coherent risk measures.
To this end we establish differentiability of the statistical functional in a
relaxed Hadamard sense, namely with respect to a suitably chosen norm and in
the directions of a specifically chosen "tangent space". We show that this
notion of quasi-Hadamard differentiability yields both strong laws and limit
theorems for the asymptotic distribution of the plug-in estimators. Our results
can be regarded as a contribution to the statistics and numerics of risk
measurement and as a case study for possible refinements of the functional
delta method through fine-tuning the underlying notion of differentiability


title: On the Design of Relay--Assisted Primary--Secondary Networks

abstract:
  The use of $N$ cognitive relays to assist primary and secondary transmissions
in a time-slotted cognitive setting with one primary user (PU) and one
secondary user (SU) is investigated. An overlapped spectrum sensing strategy is
proposed for channel sensing, where the SU senses the channel for $\tau$
seconds from the beginning of the time slot and the cognitive relays sense the
channel for $2 \tau$ seconds from the beginning of the time slot, thus
providing the SU with an intrinsic priority over the relays. The relays sense
the channel over the interval $[0,\tau]$ to detect primary activity and over
the interval $[\tau,2\tau]$ to detect secondary activity. The relays help both
the PU and SU to deliver their undelivered packets and transmit when both are
idle. Two optimization-based formulations with quality of service constraints
involving queueing delay are studied. Both cases of perfect and imperfect
spectrum sensing are investigated. These results show the benefits of relaying
and its ability to enhance both primary and secondary performance, especially
in the case of no direct link between the PU and the SU transmitters and their
respective receivers. Three packet decoding strategies at the relays are also
investigated and their performance is compared.


title: Exact and approximate operator parallelism

abstract:
  Extending the notion of parallelism we introduce the concept of approximate
parallelism in normed spaces and then substantially restrict ourselves to the
setting of Hilbert space operators endowed with the operator norm. We present
several characterizations of the exact and approximate operator parallelism in
the algebra $\mathbb{B}(\mathscr{H})$ of bounded linear operators acting on a
Hilbert space $\mathscr{H}$. Among other things, we investigate the
relationship between approximate parallelism and norm of inner derivations on
$\mathbb{B}(\mathscr{H})$. We also characterize the parallel elements of a
$C^*$-algebra by using states. Finally we utilize the linking algebra to give
some equivalence assertions regarding parallel elements in a Hilbert
$C^*$-module.


title: Fractional Poisson process with random drift

abstract:
  We study the connection between PDEs and L\'{e}vy processes running with
clocks given by time-changed Poisson processes with stochastic drifts. The
random times we deal with are therefore given by time-changed Poissonian jumps
related to some Frobenious-Perron operators $K$ associated to random
translations. Moreover, we also consider their hitting times as a random clock.
Thus, we study processes driven by equations involving time-fractional
operators (modelling memory) and fractional powers of the difference operator
$I-K$ (modelling jumps). For this large class of processes we also provide, in
some cases, the explicit representation of the transition probability laws. To
this aim, we show that a special role is played by the translation operator
associated to the representation of the Poisson semigroup.


title:
Effect of coupling with strain in multiferroics on phase diagrams and
  elastic anomalies

abstract:
  The Landau theory was applied to treat the phase diagrams for a multiferroic
with two second order phase transitions taking into account the coupling of the
primary order parameters with strain. Two order parameters are coupled
biquadratically which corresponds to the magnetoelectric materials. The
coupling with strain is assumed to be linear in strain and quadratic in order
parameters. Three ordered phases are discussed. Analytic relationships were
obtained for the phase transition temperatures and for elastic modulus changes
through the phase transitions. Strong influence of the coupling with strain on
the phase diagrams was shown.


title:
An iterative merging placement algorithm for the fixed-outline
  floorplanning

abstract:
  Given a set of rectangular modules with fixed area and variable dimensions,
and a fixed rectangular circuit. The placement of Fixed-Outline Floorplanning
with Soft Modules (FOFSM) aims to determine the dimensions and position of each
module on the circuit. We present a two-stage Iterative Merging Placement (IMP)
algorithm for the FOFSM with zero deadspace constraint. The first stage
iteratively merges two modules with the least area into a composite module to
achieve a final composite module, and builds up a slicing tree in a bottom-up
hierarchy. The second stage recursively determines the relative relationship
(left-right or top-bottom) of the sibling modules in the slicing tree in a
top-down hierarchy, and the dimensions and position of each leaf module are
determined automatically. Compared with zero-dead-space (ZDS) algorithm, the
only algorithm guarantees a feasible layout under some condition, we prove that
the proposed IMP could construct a feasible layout under a more relaxed
condition. Besides, IMP is more scalable in handling FOFSM considering the
wirelength or without the zero deadspace constraint.


title: Synthesis of Sequential Extended Regular Expressions for Verification

abstract:
  Synthesis techniques take realizable Linear Temporal Logic specifications and
produce correct cir- cuits that implement the specifications. The generated
circuits can be used directly, or as miters that check the correctness of a
logic design. Typically, those techniques generate non-deterministic finite
state automata, which can be determinized at a possibly exponential cost.
Recent results show multiple advantages of using deterministic automata in
symbolic and bounded model checking of LTL safety properties. In this paper, we
present a technique with a supporting tool that takes a sequential extended
regular expression specification {\Phi}, and a logic design implementation S,
and generates a sequential circuit C, expressed as an And-Inverted-Graph, that
checks whether S satisfies {\Phi}. The technique passes the generated circuit C
to ABC, a bounded model checker, to validate correctness. We use free input
variables to encode the non- determinism in {\Phi} and we obtain a number of
states in miter linear in the size of {\Phi}. Our technique succeeds to
generate the input to the model checker while other techniques fail because of
the exponential blowup, and in most cases, ABC succeeds to either find defects
in the design that was otherwise uncheckable, or validate the design. We
evaluated our technique against several industrial benchmarks including the IBM
arbiter, a load balancer, and a traffic light system, and compared our results
with the NuSMV framework. Our method found defects and validated systems NuSMV
could not validate.


title:
Comments on "Optimal Utilization of a Cognitive Shared Channel with a
  Rechargeable Primary Source Node"

abstract:
  In a recent paper [1], the authors investigated the maximum stable throughput
region of a network composed of a rechargeable primary user and a secondary
user plugged to a reliable power supply. The authors studied the cases of an
infinite and a finite energy queue at the primary transmitter. However, the
results of the finite case are incorrect. We show that under the proposed
energy queue model (a decoupled ${\rm M/D/1}$ queueing system with Bernoulli
arrivals and the consumption of one energy packet per time slot), the energy
queue capacity does not affect the stability region of the network.


title: Compactness in singular cardinals revisited

abstract:
  This is the second combinatorial proof of the compactness theorem for
singular from 1977. In fact it gives a somewhat stronger theorem.


title:
Spatially resolved stellar population parameters in the BCGs of two
  fossil groups

abstract:
  We report the results of Gemini/GMOS long-slit spectroscopic observations
along the major and minor axes of the central galaxies in two fossil groups,
SDSS J073422.21+265133.9 and SDSS J075828.11+374711.8 (the NGC 2484 group).
Spatially resolved kinematics and stellar population parameters (ages,
metallicities and $\alpha$-element abundance ratios) derived using ~20 Lick
indices are presented. Despite remarkable similarities in their morphologies,
photometric properties (luminosity and colour) and kinematics, the two galaxies
exhibit significantly different stellar population parameters.
  SDSS J073422.21+265133.9 exhibits a strong metallicity gradient
(Delta[Z/H]/Delta R ~ -0.4) all the way into the centre of the galaxy. It also
exhibits an age profile that suggest a relatively recent, centrally
concentrated burst of star formation superimposed on an older, more spatially
extended population. NGC 2484, a well known X-ray AGN, exhibits a flat
core-like structure in its metallicity gradient, but no detectable age
gradient. The alpha-element abundance ratio ([E/Fe]) profiles of the two
galaxies are also significantly different. SDSS J073422.21+265133.9 exhibits a
slightly positive gradient (Delta [E/H]/Delta R ~ 0.1), perhaps again
suggesting a more recent central burst of star formation, while NGC 2484 shows
a negative gradient (Delta [E/H]/Delta R ~-0.1), indicating that star formation
may have happened "inside out".
  Our analysis of these two galaxies of similar mass, morphology and kinematics
therefore suggests two different mechanisms to have been in action during their
formation. Consequently, we conclude that the central galaxies of fossil groups
can not be considered a homogeneous group with regard to their formation
processes or star formation histories.


title:
On the numerical stability of the least-squares method for the planar
  scattering by obstacles

abstract:
  The scattering of waves by obstacles in a 2D setting is considered, in
particular the computation of the scattered field via the collocation or the
least-squares methods. In the case of multiple scattering by smooth obstacles,
we prove that the scattered field can be uniformly approximated by sums of
multipoles. For a unique obstacle, the choice of the number of points and their
positions for the estimation of the error on the border of the scatterer is
studied, showing the benefit of using a non-uniform distribution of points
dependent on the scatterer and the approximation scheme. In general, using a
denser discretization near the singularities of the scattered field does not
improve the stability of the method. The analysis can also be used to estimate
the discretization size needed to ensure stability given a density of points
and an approximation scheme, e.g. in the case of multiple scatterers.


title:
Statics and dynamics of a binary dipolar Bose-Einstein condensate
  soliton

abstract:
  We study the statics and dynamics of a binary dipolar Bose-Einstein
condensate soliton for repulsive inter- and intraspecies contact interactions
with the two components subject to different spatial symmetries $-$ distinct
quasi-one-dimensional and quasi-two-dimensional shapes - using numerical
solution and variational approximation of a three-dimensional mean-field model.
The results are illustrated with realistic values of parameters in the binary
164Dy-168Er mixture. The possibility of forming robust dipolar solitons of very
large number of atoms make them of great experimental interest. The existence
of the solitons is illustrated in terms of stability phase diagrams. Exotic
shapes of these solitons are illustrated in isodensity plots. The variational
results for statics (size and chemical potential) and dynamics (small
oscillation) of the binary soliton compare well with the numerical results. A
way of preparing and studying these solitons in laboratory is suggested.


title:
A tight binding model for quantum spin Hall effect on triangular optical
  lattice

abstract:
  We propose a tight binding model for the quantum spin Hall system on
triangular optical lattice and we determined the edge state spectrum which
contains gap traversing states as the hallmark of $\mathds{Z}_{2}$ topological
insulator. The advantage of this system is the possibility of implementing it
in the fermionic ultracold atomic system whose nearly free electron limit is
proposed by B. B\'eri and N. R. Cooper, Phys. Rev. Lett. {\bf 107}, 145301
(2011).


title:
The Atlas3D project - XXVI. HI discs in real and simulated fast and slow
  rotators

abstract:
  One quarter of all nearby early-type galaxies (ETGs) outside Virgo host a
disc/ring of HI with size from a few to tens of kpc and mass up to ~1e+9 solar
masses. Here we investigate whether this HI is related to the presence of a
stellar disc within the host making use of the classification of ETGs in fast
and slow rotators (FR/SR). We find a large diversity of HI masses and
morphologies within both families. Surprisingly, SRs are detected as often,
host as much HI and have a similar rate of HI discs/rings as FRs. Accretion of
HI is therefore not always linked to the growth of an inner stellar disc. The
weak relation between HI and stellar disc is confirmed by their frequent
kinematical misalignment in FRs, including cases of polar and counterrotating
gas. In SRs the HI is usually polar. This complex picture highlights a
diversity of ETG formation histories which may be lost in the relative
simplicity of their inner structure and emerges when studying their outer
regions.
  We find that LCDM hydrodynamical simulations have difficulties reproducing
the HI properties of ETGs. The gas discs formed in simulations are either too
massive or too small depending on the star formation feedback implementation.
Kinematical misalignments match the observations only qualitatively. The main
point of conflict is that nearly all simulated FRs and a large fraction of all
simulated SRs host corotating HI. This establishes the HI properties of ETGs as
a novel challenge to simulations.


title:
Product vectors in the ranges of multi-partite states with positive
  partial transposes and permanents of matrices

abstract:
  In this paper, we consider a system of homogeneous algebraic equations in
complex variables and their conjugates, which arise naturally from the range
criterion for separability of PPT states. We examine systematically these
equations to get sufficient conditions for the existence of nontrivial
solutions. This gives us possible upper bounds of ranks of PPT entangled edge
states and their partial transposes. We will focus on the multi-partite cases
which are much more delicate than the bi-partite cases. We use the notion of
permanents of matrices as well as techniques from algebraic geometry through
the discussion.


title: Helioseismic and Magnetic Imager Multi-height Dopplergrams

abstract:
  We study Doppler velocity measurements at multiple heights in the solar
atmosphere using a set of six filtergrams obtained by the Helioseismic magnetic
Imager on board the Solar Dynamics Observatory. There are clear and significant
phase differences between core and wing Dopplergrams in the frequency range
above the photospheric acoustic cutoff frequency, which indicates that these
are really "multi-height" datasets.


title: Pion cloud effects on baryon masses

abstract:
  In this work we explore the effect of pion cloud contributions to the mass of
the nucleon and the delta baryon. To this end we solve a coupled system of
Dyson-Schwinger equations for the quark propagator, a Bethe-Salpeter equation
for the pion and a three-body Faddeev equation for the baryons. In the
quark-gluon interaction we explicitly resolve the term responsible for the
back-coupling of the pion onto the quark, representing rainbow-ladder like pion
cloud effects in bound states. We study the dependence of the resulting baryon
masses on the current quark mass and discuss the internal structure of the
baryons in terms of a partial wave decomposition. We furthermore determine
values for the nucleon and delta sigma-terms.


title:
Demixing and symmetry breaking in binary dipolar Bose-Einstein
  condensate solitons

abstract:
  We demonstrate fully demixed (separated) robust and stable bright binary
dipolar Bose-Einstein condensate soliton in a quasi-one-dimensional setting
formed due to dipolar interactions for repulsive contact interactions. For
large repulsive interspecies contact interaction the first species may
spatially separate from the second species thus forming a demixed
configuration, which can be spatially-symmetric or symmetry-broken. In the
spatially-symmetric case, one of the the species occupies the central region,
whereas the other species separates into two equal parts and stay predominantly
out of this central region. In the symmetry-broken case, the two species stay
side by side. Stability phase diagrams for the binary solitons are obtained.
The results are illustrated with realistic values of parameters in the binary
164Dy-168Er and 164Dy-162Dy mixtures. The demixed solitons are really soliton
molecules formed of two types of atoms. A proposal for creating dipolar
solitons in experiments is also presented.


title: Stochasticity in halo formation and the excursion set approach

abstract:
  The simplest stochastic halo formation models assume that the traceless part
of the shear field acts to increase the initial overdensity (or decrease the
underdensity) that a protohalo (or protovoid) must have if it is to form by the
present time. Equivalently, it is the difference between the overdensity and
(the square root of the) shear that must be larger than a threshold value. To
estimate the effect this has on halo abundances using the excursion set
approach, we must solve for the first crossing distribution of a barrier of
constant height by the random walks associated with the difference, which is
now (even for Gaussian initial conditions) a non-Gaussian variate. The
correlation properties of such non-Gaussian walks are inherited from those of
the density and the shear, and, since they are independent processes, the
solution is in fact remarkably simple. We show that this provides an easy way
to understand why earlier heuristic arguments about the nature of the solution
worked so well. In addition to modelling halos and voids, this potentially
simplifies models of the abundance and spatial distribution of filaments and
sheets in the cosmic web.


title: Adiabatic state preparation study of methylene

abstract:
  Quantum computers attract much attention as they promise to outperform their
classical counterparts in solving certain type of problems. One of them with
practical applications in quantum chemistry is simulation of complex quantum
systems. An essential ingredient of efficient quantum simulation algorithms are
initial guesses of the exact wave functions with high enough fidelity. As was
proposed in [Aspuru-Guzik et al., Science 309, 1704 (2005)], the exact ground
states can in principle be prepared by the adiabatic state preparation method.
Here, we apply this approach to preparation of the lowest lying multireference
singlet electronic state of methylene and numerically investigate preparation
of this state at different molecular geometries. We then propose modifications
that lead to speeding up the preparation process. Finally, we decompose the
minimal adiabatic state preparation employing the direct mapping in terms of
two-qubit interactions.


title: On restricted edge-connectivity of half-transitive multigraphs

abstract:
  Let $G=(V,E)$ be a multigraph (it has multiple edges, but no loops). The edge
connectivity, denoted by $\lambda(G)$, is the cardinality of a minimum edge-cut
of $G$. We call $G$ maximally edge-connected if $\lambda(G)=\delta(G)$, and $G$
super edge-connected if every minimum edge-cut is a set of edges incident with
some vertex. The restricted edge-connectivity $\lambda'(G)$ of $G$ is the
minimum number of edges whose removal disconnects $G$ into non-trivial
components. If $\lambda'(G)$ achieves the upper bound of restricted
edge-connectivity, then $G$ is said to be $\lambda'$-optimal. A bipartite
multigraph is said to be half-transitive if its automorphism group is
transitive on the sets of its bipartition. In this paper, we will characterize
maximally edge-connected half-transitive multigraphs, super edge-connected
half-transitive multigraphs, and $\lambda'$-optimal half-transitive
multigraphs.


title: Hybrid quantum systems of ions and atoms

abstract:
  In this chapter we review the progress in experiments with hybrid systems of
trapped ions and ultracold neutral atoms. We give a theoretical overview over
the atom-ion interactions in the cold regime and give a summary of the most
important experimental results. We conclude with an overview of remaining open
challenges and possible applications in hybrid quantum systems of ions and
neutral atoms.


title: Asymmetric Compute-and-Forward with CSIT

abstract:
  We present a modified compute-and-forward scheme which utilizes Channel State
Information at the Transmitters (CSIT) in a natural way. The modified scheme
allows different users to have different coding rates, and use CSIT to achieve
larger rate region. This idea is applicable to all systems which use the
compute-and-forward technique and can be arbitrarily better than the regular
scheme in some settings.


title:
Bernstein--Doetsch type theorems for set-valued maps of strongly and
  approximately convex and concave type

abstract:
  In this paper, we investigate properties of set-valued mappings that
establish connection between the values of this map at two arbitrary points of
the domain and the value at their midpoint. Such properties are, for instance,
Jensen convexity/concavity, $K$-Jensen convexity/concavity (where $K$ is the
set of nonnegative elements of an ordered vector space), and approximate/strong
$K$-Jensen convexity/concavity. Assuming weak but natural regularity
assumptions on the set-valued map, our main purpose is to deduce the
convexity/concavity consequences of these properties in the appropriate sense.
Our two main theorems will generalize most of the known results in this field,
in particular the celebrated Bernstein--Doetsch Theorem from 1915, and thus
they offer a unified view of these theories.


title:
Joint ML estimation of all parameters in a discrete time random field
  HJM type interest rate model

abstract:
  We consider discrete time Heath-Jarrow-Morton type interest rate models,
where the interest rate curves are driven by a geometric spatial autoregression
field. Strong consistency and asymptotic normality of the maximum likelihood
estimators of the parameters are proved for stable no-arbitrage models
containing a general stochastic discounting factor, where explicit form of the
ML estimators is not available given a non-i.i.d. sample. The results form the
basis of further statistical problems in such models.


title:
Comments concerning the paper "Measurement of negatively charged pion
  spectra in inelastic p+p interactions at 20, 31, 40, 80 and 158 GeV/c" by the
  NA61 collaboration

abstract:
  New data from the NA61 collaboration on the production of negative pions in
p+p interactions at beam momenta between 20 and 158 GeV/c are critically
compared to available results in the same energy range. It is concluded that
the NA61 data show some discrepancies with the previous results. This concerns
in particular the total yields, the $p_T$ integrated rapidity distributions and
the double differential cross sections.


title: Comparison theorems for conjugate points in sub-Riemannian geometry

abstract:
  We prove sectional and Ricci-type comparison theorems for the existence of
conjugate points along sub-Riemannian geodesics. In order to do that, we regard
sub-Riemannian structures as a special kind of variational problems. In this
setting, we identify a class of models, namely linear quadratic optimal control
systems, that play the role of the constant curvature spaces. As an
application, we prove a version of sub-Riemannian Bonnet-Myers theorem and we
obtain some new results on conjugate points for three dimensional
left-invariant sub-Riemannian structures.


title: All-Optical Switch and Transistor Gated by One Stored Photon

abstract:
  The realization of an all-optical transistor where one 'gate' photon controls
a 'source' light beam, is a long-standing goal in optics. By stopping a light
pulse in an atomic ensemble contained inside an optical resonator, we realize a
device in which one stored gate photon controls the resonator transmission of
subsequently applied source photons. A weak gate pulse induces bimodal
transmission distribution, corresponding to zero and one gate photons. One
stored gate photon produces fivefold source attenuation, and can be retrieved
from the atomic ensemble after switching more than one source photon. Without
retrieval, one stored gate photon can switch several hundred source photons.
With improved storage and retrieval efficiency, our work may enable various new
applications, including photonic quantum gates, and deterministic multiphoton
entanglement.


title: Realization of quantum gates by Lyapunov control

abstract:
  We propose a Lyapunov control design to achieve specific (or a family of)
unitary time-evolution operators, i.e., quantum gates in the Schr\"{o}dinger
picture by tracking control. Two examples are presented. In the first, we
illustrate how to realize the Hadamard gate in a single-qubit system, while in
the second, the controlled-NOT (CNOT) gate is implemented in two-qubit systems
with the Ising and Heisenberg interactions. Furthermore, we demonstrate that
the control can drive the time-evolution operator into the local equivalence
class of the CNOT gate and the operator keeps in this class forever with the
existence of Ising coupling.


title:
Self-energy effects in cuprates and the dome-shaped behavior of the
  superconducting critical temperature

abstract:
  Hole doped cuprates show a superconducting critical temperature $T_c$ which
follows an universal dome-shaped behavior as function of doping. It is believed
that the origin of superconductivity in cuprates is entangled with the physics
of the pseudogap phase. An open discussion is whether the source of
superconductivity is the same that causes the pseudogap properties. The $t$-$J$
model treated in large-N expansion shows $d$-wave superconductivity triggered
by non-retarded interactions, and an instability of the paramagnetic state to a
flux phase or $d$-wave charge density wave ($d$-CDW) state. In this paper we
show that self-energy effects near $d$-CDW instability may lead to a
dome-shaped behavior of $T_c$. In addition, it is also shown that these
self-energy contributions may describe several properties observed in the
pseudogap phase. In this picture, although fluctuations responsible for the
pseudogap properties leads to a dome-shaped behavior, they are not involved in
pairing which is mainly non-retarded.


title: Yang-Baxter sigma models: Quantum aspects

abstract:
  We study the quantum properties at one-loop of the Yang-Baxter
$\sigma$-models introduced by Klim\v{c}\'\ik. The proof of the one-loop
renormalizability is given, the one-loop renormalization flow is investigated
and the quantum equivalence is studied.


title: Online Markov decision processes with Kullback-Leibler control cost

abstract:
  This paper considers an online (real-time) control problem that involves an
agent performing a discrete-time random walk over a finite state space. The
agent's action at each time step is to specify the probability distribution for
the next state given the current state. Following the set-up of Todorov, the
state-action cost at each time step is a sum of a state cost and a control cost
given by the Kullback-Leibler (KL) divergence between the agent's next-state
distribution and that determined by some fixed passive dynamics. The online
aspect of the problem is due to the fact that the state cost functions are
generated by a dynamic environment, and the agent learns the current state cost
only after selecting an action. An explicit construction of a computationally
efficient strategy with small regret (i.e., expected difference between its
actual total cost and the smallest cost attainable using noncausal knowledge of
the state costs) under mild regularity conditions is presented, along with a
demonstration of the performance of the proposed strategy on a simulated target
tracking problem. A number of new results on Markov decision processes with KL
control cost are also obtained.


title: High frequency A-type pulsators discovered using SuperWASP

abstract:
  We present the results of a survey using the WASP archive to search for high
frequency pulsations in F-, A- and B-type stars. Over 1.5 million targets have
been searched for pulsations with amplitudes greater than 0.5 millimagnitude.
We identify over 350 stars which pulsate with periods less than 30 min.
Spectroscopic follow-up of selected targets has enabled us to confirm 10 new
rapidly oscillating Ap stars, 13 pulsating Am stars and the fastest known
$\delta$ Scuti star. We also observe stars which show pulsations in both the
high-frequency domain and in the low-frequency $\delta$ Scuti range. This work
shows the power of the WASP photometric survey to find variable stars with
amplitudes well below the nominal photometric precision per observation.


title: Logarithms and deformation quantization

abstract:
  We prove the statement/conjecture of M. Kontsevich on the existence of the
logarithmic formality morphism. This question was open since 1999, and the main
obstacle was the presence of $dr/r$ type singularities near the boundary $r=0$
in the integrals over compactified configuration spaces. The novelty of our
approach is the use of local torus actions on configuration spaces of points in
the upper half-plane. It gives rise to a version of Stokes' formula for
differential forms with singularities at the boundary which implies the
formality property.
  We also show that the logarithmic formality morphism admits a globalization
from $\mathbb{R}^d$ to an arbitrary smooth manifold.


title:
Privacy Preserving Social Network Publication Against Mutual Friend
  Attacks

abstract:
  Publishing social network data for research purposes has raised serious
concerns for individual privacy. There exist many privacy-preserving works that
can deal with different attack models. In this paper, we introduce a novel
privacy attack model and refer it as a mutual friend attack. In this model, the
adversary can re-identify a pair of friends by using their number of mutual
friends. To address this issue, we propose a new anonymity concept, called
k-NMF anonymity, i.e., k-anonymity on the number of mutual friends, which
ensures that there exist at least k-1 other friend pairs in the graph that
share the same number of mutual friends. We devise algorithms to achieve the
k-NMF anonymity while preserving the original vertex set in the sense that we
allow the occasional addition but no deletion of vertices. Further we give an
algorithm to ensure the k-degree anonymity in addition to the k-NMF anonymity.
The experimental results on real-word datasets demonstrate that our approach
can preserve the privacy and utility of social networks effectively against
mutual friend attacks.


title:
Capacity bounds for MIMO microwave backhaul links affected by phase
  noise

abstract:
  We present bounds and a closed-form high-SNR expression for the capacity of
multiple-antenna systems affected by Wiener phase noise. Our results are
developed for the scenario where a single oscillator drives all the
radio-frequency circuitries at each transceiver (common oscillator setup), the
input signal is subject to a peak-power constraint, and the channel matrix is
deterministic. This scenario is relevant for line-of-sight multiple-antenna
microwave backhaul links with sufficiently small antenna spacing at the
transceivers. For the 2 by 2 multiple-antenna case, for a Wiener phase-noise
process with standard deviation equal to 6 degrees, and at the medium/high SNR
values at which microwave backhaul links operate, the upper bound reported in
the paper exhibits a 3 dB gap from a lower bound obtained using 64-QAM.
Furthermore, in this SNR regime the closed-form high-SNR expression is shown to
be accurate.


title: Foundations of biology

abstract:
  It is often stated that there are no laws in biology, where everything is
contingent and could have been otherwise, being solely the result of historical
accidents. Furthermore, the customary introduction of fundamental biological
entities such as individual organisms, cells, genes, catalysts and motors
remains largely descriptive; constructive approaches involving deductive
reasoning appear, in comparison, almost absent. As a consequence, both the
logical content and principles of biology need to be reconsidered. The present
article describes an inquiry into the foundations of biology. The foundations
of biology are built in terms of elements, logic and principles, using both the
language and the general methods employed in other disciplines. This approach
assumes the existence of a certain unity of human knowledge that transcends
discipline boundaries. Leibniz's principle of sufficient reason is revised
through the introduction of the complementary concepts of symmetry and
asymmetry and of necessity and contingency. This is used to explain how these
four concepts are involved in the elaboration of theories or laws of nature.
Four fundamental theories of biology are then identified: cell theory, Darwin's
theory of natural selection, an informational theory of life (which includes
Mendel's theory of inheritance) and a physico-chemical theory of life. Atomism
and deductive reasoning are shown to enter into the elaboration of the concepts
of natural selection, individual living organisms, cells and their
reproduction, genes as well as catalysts and motors. This work contributes to
clarify the philosophical and logical structure of biology and its major
theories. This should ultimately lead to a better understanding of the origin
of life, of system and synthetic biology, and of artificial life.


title: Non-relativistic particles in a thermal bath

abstract:
  Heavy particles are a window to new physics and new phenomena. Since the late
eighties they are treated by means of effective field theories that fully
exploit the symmetries and power counting typical of non-relativistic systems.
More recently these effective field theories have been extended to describe
non-relativistic particles propagating in a medium. After introducing some
general features common to any non-relativistic effective field theory, we
discuss two specific examples: heavy Majorana neutrinos colliding in a hot
plasma of Standard Model particles in the early universe and quarkonia produced
in heavy-ion collisions dissociating in a quark-gluon plasma.


title:
General monogamy relation for the entanglement of formation in
  multiqubit systems

abstract:
  We prove exactly that the squared entanglement of formation, which quantifies
the bipartite entanglement, obeys a general monogamy inequality in an arbitrary
multiqubit mixed state. Based on this kind of exotic monogamy relation, we are
able to construct two sets of useful entanglement indicator: the first one can
detect all genuine multiqubit entangled states even in the case of the
two-qubit concurrence and $n$-tangles being zero, while the second one can be
calculated via quantum discord and applied to multipartite entanglement
dynamics. Moreover, we give a computable and nontrivial lower bound for
multiqubit entanglement of formation.


title:
Dimension theoretical study on skew product maps with coupled-expanding
  property

abstract:
  We discuss on some families of skew product maps on a square. For a kind of
skew product maps with coupled-expanding property, we estimate Hausdorff
dimension of its attractor. And we prove that there exists an ergodic measure
with full Hausdorff dimension for this kind of skew product maps.


title: Two-zero Majorana textures in the light of the Planck results

abstract:
  The recent results of the Planck experiment put a stringent constraint on the
sum of the light neutrino masses, m1+m2+m3 < 0.23 eV (95 % CL). On the other
hand, two-zero Majorana mass matrix textures predict strong correlations among
the atmospheric angle and the sum of the masses. We use the Planck result to
show that, for the normal hierarchy case, the texture with vanishing (2,2) and
(3,3) elements is ruled out at a high confidence level; in addition, we
emphasize that a future measurement of the octant of the atmospheric mixing
angle (or the one sigma determination of it based on recent fit to neutrino
data) will put severe constraint on the possible structure of the Majorana mass
matrix. The implication of the above mentioned correlations for neutrinoless
double beta-decay are also discussed, for both normal and inverted orderings.


title: Local Decoherence-free Macroscopic Quantum states

abstract:
  We identify a class of quantum states, each consisting of a microscopic and a
macroscopic section, that are effectively decoherence-free when each particle
is locally passed through a quantum channel. In particular, and in contrast to
other macroscopic quantum states like the Greenberger-Horne-Zeilinger state,
the content of entanglement and other quantum correlations in the microscopic
to macroscopic partition of this class of states is independent of the number
of particles in their macroscopic sectors, when all the particles suffer
passage through local amplitude and phase damping channels. Decay of quantum
correlations -- entanglement as well as quantum discord -- of this class of
states in the microscopic to macroscopic partition is also much lower in the
case of all the local quantum channels, as compared to the other macroscopic
superposition states. The macroscopic sections of the states are formed, in
each case, by using a Dicke state and an orthogonal product state, which are
macroscopically distinct in terms of markedly different amounts of violation of
Bell inequality.


title:
Shifts in stability and control effectiveness during evolution of
  Paraves support aerial maneuvering hypotheses for flight origins

abstract:
  The capacity for aerial maneuvering shaped the evolution of flying animals.
Here we evaluate consequences of aviaian morphology for aerial performance
(1,2) by quantifying static stability and control effectiveness of physical
models (3) for numerous taxa sampled from within the lineage leading to birds
(Paraves, 4). Results of aerodynamic testing are mapped phylogenetically (5-9)
to examine how maneuvering characteristics correlate with tail shortening,
fore- and hindwing elaboration, and other morphological features (10). In the
evolution of the Avialae we observe shifts from static stability to inherently
unstable aerial planforms; control effectiveness also migrated from tails to
the forewings. These shifts suggest that some degree of aerodynamic control and
and capacity for maneuvering preceded the evolution of strong power stroke. The
timing of shifts also suggests some features normally considered in light of
development of a power stroke may play important roles in control.


title: Buffon's problem with a pivot needle

abstract:
  In this paper, we solve Buffon's needle problem for a needle consisting of
two line segments connected in a pivot point.


title: Modeling Light Curves for Improved Classification

abstract:
  Many synoptic surveys are observing large parts of the sky multiple times.
The resulting lightcurves provide a wonderful window to the dynamic nature of
the universe. However, there are many significant challenges in analyzing these
light curves. These include heterogeneity of the data, irregularly sampled
data, missing data, censored data, known but variable measurement errors, and
most importantly, the need to classify in astronomical objects in real time
using these imperfect light curves. We describe a modeling-based approach using
Gaussian process regression for generating critical measures representing
features for the classification of such lightcurves. We demonstrate that our
approach performs better by comparing it with past methods. Finally, we provide
future directions for use in sky-surveys that are getting even bigger by the
day.


title:
Eigenvalues of an axially loaded cantilever beam with an eccentric end
  rigid body

abstract:
  An analytical form of the characteristic equation for a vertically mounted
cantilever beam with an end rigid body is obtained and solved for the
eigenvalues of the structure. The effect of the weight of the structure is
taken into consideration by estimating the load as a function of the length of
the beam. The mass, rotary inertia and eccentricity of the end rigid body are
demonstrated to considerably affect the eigenvalues of the structure.


title:
Excitation transfer pathways in excitonic aggregates revealed by the
  stochastic Schr\"odinger equation

abstract:
  We derive the stochastic Schr\"odinger equation for the system wave vector
and use it to describe the excitation energy transfer dynamics in molecular
aggregates. We suggest a quantum-measurement based method of estimating the
excitation transfer time. Adequacy of the proposed approach is demonstrated by
performing calculations on a model system. The theory is then applied to study
the excitation transfer dynamics in a photosynthetic pigment-protein
Fenna-Matthews-Olson (FMO) aggregate using both the Debye spectral density and
the spectral density obtained from earlier molecular dynamics simulations
containing strong vibrational high-frequency modes. The obtained results show
that the excitation transfer times in the FMO system are affected by the
presence of the vibrational modes, however the transfer pathways remain the
same.


title: Separation Property for wB- and wS-regular Languages

abstract:
  In this paper we show that {\omega}B- and {\omega}S-regular languages satisfy
the following separation-type theorem If L1,L2 are disjoint languages of
{\omega}-words both recognised by {\omega}B- (resp. {\omega}S)-automata then
there exists an {\omega}-regular language Lsep that contains L1, and whose
complement contains L2. In particular, if a language and its complement are
recognised by {\omega}B- (resp. {\omega}S)-automata then the language is
{\omega}-regular. The result is especially interesting because, as shown by
Boja\'nczyk and Colcombet, {\omega}B-regular languages are complements of
{\omega}S-regular languages. Therefore, the above theorem shows that these are
two mutually dual classes that both have the separation property. Usually (e.g.
in descriptive set theory or recursion theory) exactly one class from a pair C,
Cc has the separation property. The proof technique reduces the separation
property for {\omega}-word languages to profinite languages using Ramsey's
theorem and topological methods. After that reduction, the analysis of the
separation property in the profinite monoid is relatively simple. The whole
construction is technically not complicated, moreover it seems to be quite
extensible. The paper uses a framework for the analysis of B- and S-regular
languages in the context of the profinite monoid that was proposed by
Toru\'nczyk.


title:
Constructions of Pure Asymmetric Quantum Alternant Codes Based on
  Subclasses of Alternant Codes

abstract:
  In this paper, we construct asymmetric quantum error-correcting codes(AQCs)
based on subclasses of Alternant codes. Firstly, We propose a new subclass of
Alternant codes which can attain the classical Gilbert-Varshamov bound to
construct AQCs. It is shown that when $d_x=2$, $Z$-parts of the AQCs can attain
the classical Gilbert-Varshamov bound. Then we construct AQCs based on a famous
subclass of Alternant codes called Goppa codes. As an illustrative example, we
get three $[[55,6,19/4]],[[55,10,19/3]],[[55,15,19/2]]$ AQCs from the well
known $[55,16,19]$ binary Goppa code. At last, we get asymptotically good
binary expansions of asymmetric quantum GRS codes, which are quantum
generalizations of Retter's classical results. All the AQCs constructed in this
paper are pure.


title:
A strong maximum principle for the Paneitz operator and a non-local flow
  for the $Q$-curvature

abstract:
  In this paper we consider Riemannian manifolds $(M^n,g)$ of dimension $n \geq
5$, with semi-positive $Q$-curvature and non-negative scalar curvature. Under
these assumptions we prove $(i)$ the Paneitz operator satisfies a strong
maximum principle; $(ii)$ the Paneitz operator is a positive operator; and
$(iii)$ its Green's function is strictly positive. We then introduce a
non-local flow whose stationary points are metrics of constant positive
$Q$-curvature. Modifying the test function construction of Esposito-Robert, we
show that it is possible to choose an initial conformal metric so that the flow
has a sequential limit which is smooth and positive, and defines a conformal
metric of constant positive $Q$-curvature.


title: On Endogenous Random Consensus and Averaging Dynamics

abstract:
  Motivated by various random variations of Hegselmann-Krause model for opinion
dynamics and gossip algorithm in an endogenously changing environment, we
propose a general framework for the study of endogenously varying random
averaging dynamics, i.e.\ an averaging dynamics whose evolution suffers from
history dependent sources of randomness. We show that under general assumptions
on the averaging dynamics, such dynamics is convergent almost surely. We also
determine the limiting behavior of such dynamics and show such dynamics admit
infinitely many time-varying Lyapunov functions.


title: Ground State Quantum Coherences: from Quantum Beats to Strong Control

abstract:
  Second order correlations reveal quantum beats from a coherent ground-state
superposition on the undriven mode of a two-mode cavity QED system. Continuous
drive induces decoherence due to Rayleigh scattering. We control this with
feedback and explore postselection techniques to extract specific behavior.


title:
Log-Sobolev inequalities for infinite-dimensional Gibbs measures with
  non-quadratic interactions

abstract:
  We focus on the log-Sobolev inequality for spin systems on the lattice with
interactions of higher order than quadratic. We show that if the
one-dimensional single-site measure with boundaries satisfies the log-Sobolev
inequality uniformly in the boundary conditions then the infinite-dimensional
Gibbs measure also satisfies the inequality under appropriate conditions on the
phase and the interactions.


title:
Myxococcus xanthus gliding motors are elastically coupled to the
  substrate as predicted by the focal adhesion model of gliding motility

abstract:
  Myxococcus xanthus is a model organism for studying bacterial social
behaviors due to its ability to form complex multi-cellular structures.
Knowledge of M. xanthus surface gliding motility and the mechanisms that
coordinate it are critically important to our understanding of collective cell
behaviors. Although the mechanism of gliding motility is still under
investigation, recent experiments suggest that there are two possible
mechanisms underlying force production for cell motility: the focal adhesion
mechanism and the helical rotor mechanism which differ in the biophysics of the
cell-substrate interactions. Whereas the focal adhesion model predicts an
elastic coupling, the helical rotor model predicts a viscous coupling. Using a
combination of computational modeling, imaging, and force microscopy, we find
evidence for elastic coupling in support of the focal adhesion model. Using a
biophysical model of the M. xanthus cell, we investigated how the mechanical
interactions between cells are affected by interactions with the substrate.
Comparison of modeling results with experimental data for cell-cell collision
events pointed to a strong, elastic attachment between the cell and substrate.
These results are robust to variations in the mechanical and geometrical
parameters of the model. We then directly measured the motor-substrate coupling
by monitoring the motion of optically trapped beads and find that motor
velocity decreases exponentially with opposing load. At high loads, motor
velocity approaches zero velocity asymptotically and motors remain bound to
beads indicating a strong, elastic attachment.


title: Optical polarization observations with the MASTER robotic net

abstract:
  We present results of optical polarization observations performed with the
MASTER robotic net for three types of objects: gamma-ray bursts, supernovae,
and blazars. For the Swift gamma-ray bursts GRB100906A, GRB110422A, GRB121011A,
polarization observations were obtained during very early stages of optical
emission. For GRB100906A it was the first prompt optical polarization
observation in the world. Photometry in polarizers is presented for Type Ia
Supernova 2012bh during 20 days, starting on March 27, 2012. We find that the
linear polarization of SN 2012bh at the early stage of the envelope expansion
was less than 3%. Polarization measurements for the blazars OC 457, 3C 454.3,
QSO B1215+303, 87GB 165943.2+395846 at single nights are presented. We infer
the degree of the linear polarization and polarization angle. The blazars OC
457 and 3C 454.3 were observed during their periods of activity. The results
show that MASTER is able to measure substantially polarized light; at the same
time it is not suitable for determining weak polarization (less than 5%) of dim
objects (fainter than 16$^m$). Polarimetric observations of the optical
emission from gamma-ray bursts and supernovae are necessary to investigate the
nature of these transient objects.


title:
Uncovering nodes that spread information between communities in social
  networks

abstract:
  From many datasets gathered in online social networks, well defined community
structures have been observed. A large number of users participate in these
networks and the size of the resulting graphs poses computational challenges.
There is a particular demand in identifying the nodes responsible for
information flow between communities; for example, in temporal Twitter networks
edges between communities play a key role in propagating spikes of activity
when the connectivity between communities is sparse and few edges exist between
different clusters of nodes. The new algorithm proposed here is aimed at
revealing these key connections by measuring a node's vicinity to nodes of
another community. We look at the nodes which have edges in more than one
community and the locality of nodes around them which influence the information
received and broadcasted to them. The method relies on independent random walks
of a chosen fixed number of steps, originating from nodes with edges in more
than one community. For the large networks that we have in mind, existing
measures such as betweenness centrality are difficult to compute, even with
recent methods that approximate the large number of operations required. We
therefore design an algorithm that scales up to the demand of current big data
requirements and has the ability to harness parallel processing capabilities.
The new algorithm is illustrated on synthetic data, where results can be judged
carefully, and also on a real, large scale Twitter activity data, where new
insights can be gained.


title:
High-order schemes for non-ideal $3+1$ GRMHD: a study of the kinematic
  dynamo process in accretion tori

abstract:
  We present the first astrophysical application of the ECHO code in its recent
version supplemented by a generalized Ohm law, namely a kinematic study of
dynamo effects in thick accretion disks. High-order \emph{implicit-explicit}
Runge-Kutta time-stepping routines are implemented and validated within $3+1$
\emph{General Relativistic MagnetoHydroDynamics} (GRMHD). The scheme is applied
to a differentially rotating torus orbiting a Kerr black hole, where the
mean-field dynamo process leads to strong amplification of seed magnetic
fields. We show that the interplay between the toroidal and poloidal components
occurs qualitatively in the same fashion as in the Sun, butterfly diagrams are
reproduced, and a typical time-scale for the field evolution is found,
depending on the dynamo and resistivity numbers, which could explain
periodicities as observed in several accreting systems.


title: Ion sound and dust acoustic waves at finite size of plasma particles

abstract:
  We consider influence of finite size of ions on properties of classic
plasmas. We focus our attention on the ion sound for electron-ion plasmas. We
also consider dusty plasmas, where we account finite size of ions and particles
of dust and consider the dispersion of dust acoustic waves. Finite size of
particles affects classical plasma properties. Finite size of particles gives
considerable contribution for small wave lengths, which is area of appearing of
quantum effects. Consequently, it is very important to consider finite size of
ions in quantum plasmas as well.


title:
Cyclic Interference Alignment and Cancellation in 3-User X-Networks with
  Minimal Backhaul

abstract:
  We consider the problem of Cyclic Interference Alignment (IA) on the 3-user
X-network and show that it is infeasible to exactly achieve the upper bound of
$\frac{K^2}{2K-1}=\frac{9}{5}$ degrees of freedom for the lower bound of n=5
signalling dimensions and K=3 user-pairs. This infeasibility goes beyond the
problem of common eigenvectors in invariant subspaces within spatial IA.
  In order to gain non-asymptotic feasibility with minimal intervention, we
first investigate an alignment strategy that enables IA by feedforwarding a
subset of messages with minimal rate. In a second step, we replace the proposed
feedforward strategy by an analogous Cyclic Interference Alignment and
Cancellation scheme with a backhaul network on the receiver side and also by a
dual Cyclic Interference Neutralization scheme with a backhaul network on the
transmitter side.


title: SDSS superclusters: morphology and galaxy content

abstract:
  We compare the galaxy populations in superclusters of different morphology in
the nearby Universe (180 < d < 270 Mpc) to see whether the inner structure and
overall morphology of superclusters are important in shaping galaxy properties
in superclusters. Supercluster morphology has been found with Minkowski
functionals. We analyse the probability density distributions of colours,
morphological types, stellar masses, star formation rates (SFR) of galaxies,
and the peculiar velocities of the main galaxies in groups in superclusters of
filament and spider types, and in the field. We show that the fraction of red,
early-type, low SFR galaxies in filament-type superclusters is higher than in
spider-type superclusters; in low-density global environments their fraction is
lower than in superclusters. In all environments the fraction of red, high
stellar mass, and low SFR galaxies in rich groups is higher than in poor
groups. In superclusters of spider morphology red, high SFR galaxies have
higher stellar masses than in filament-type superclusters. Groups of equal
richness host galaxies with larger stellar masses, a larger fraction of
early-type and red galaxies, and a higher fraction of low SFR galaxies, if they
are located in superclusters of filament morphology. The peculiar velocities of
the main galaxies in groups from superclusters of filament morphology are
higher than in those of spider morphology. Groups with higher peculiar
velocities of their main galaxies in filament-type superclusters are located in
higher density environment than those with low peculiar velocities. There are
significant differences between galaxy populations of the individual richest
superclusters. Therefore both local (group) and global (supercluster)
environments and even supercluster morphology play an important role in the
formation and evolution of galaxies.


title:
From amorphous aggregates to polymer bundles: The role of stiffness on
  structural phases in polymer aggregation

abstract:
  We study the aggregation transition of a finite theta-polymer system in
dependence on the bending stiffness $\kappa$ with the help of parallel
multicanonical simulations. In order to distinguish amorphous aggregates from
polymer bundles we introduce an order parameter, measuring the correlation of
the end-to-end vectors. With the help of this order parameter, we construct
generic $T$-$\kappa$ phase diagrams for systems with $2$ and $8$ polymers and
discuss the occurring phases from amorphous aggregates to bundle structures.
For an intermediate stiffness range we find multiple aggregated phases which
change with increasing number of polymers and discuss their nature with the
help of microcanonical analyses. We show that the stiffness of semiflexible
theta polymers is the distinguishing parameter for the emergent structural
motifs.


title: Search for [CII] emission in z=6.5-11 star-forming galaxies

abstract:
  We present the search for the [CII] emission line in three $z>6.5$
Lyman-alpha emitters (LAEs) and one J-Dropout galaxy using the Combined Array
for Research in Millimeter-wave Astronomy (CARMA) and the Plateau de Bure
Interferometer (PdBI). We observed three bright $z\sim6.5-7$ LAEs discovered in
the SUBARU deep field (SDF) and the Multiple Imaged lensed $z\sim 11$ galaxy
candidate found behind the galaxy cluster MACSJ0647.7+7015. For the LAEs IOK-1
($z=6.965$), SDF J132415.7+273058 ($z=6.541$) and SDF J132408.3+271543
($z=6.554$) we find upper limits for the [CII] line luminosity of $<2.05$,
$<4.52$ and $<10.56\times10^{8}{\rm L}_{\odot}$ respectively. We find upper
limits to the FIR luminosity of the galaxies using a spectral energy
distribution template of the local galaxy NGC 6946 and taking into account the
effects of the Cosmic Microwave Background on the mm observations. For IOK-1,
SDF J132415.7+273058 and SDF J132408.3+271543 we find upper limits for the FIR
luminosity of $<2.33$, $3.79$ and $7.72\times10^{11}{\rm L}_{\odot}$
respectively. For the lensed galaxy MACS0647-JD, one of the highest redshift
galaxy candidate to date with $z_{\rm ph}=10.7^{+0.6}_{-0.4}$ we put an upper
limit in the [CII] emission of $<1.36\times10^{8}\times(\mu/15)^{-1}{\rm
L}_{\odot}$ and an upper limit in the FIR luminosity of
$<6.1\times10^{10}\times(\mu/15)^{-1}{\rm L}_{\odot}$ (where $\mu$ is the
magnification factor). We explore the different conditions relevant for the
search for [CII] emission in high redshift galaxies as well as the difficulties
for future observations with ALMA and CCAT.