title:
Frequency dependence of specific heat in supercooled liquid water and
  emergence of correlated dynamics

abstract:
  Molecular origin of the well-known specific heat anomaly in supercooled
liquid water is investigated here by using extensive computer simulations and
theoretical analyses. A rather sharp increase in the values of isobaric
specific heat with lowering temperature and the weak temperature dependence of
isochoric specific heat in the same range are reproduced in simulations. We
calculated the spatiotemporal correlation among temperature fluctuations and
examined the frequency dependent specific heat. The latter shows a rapid growth
in the low frequency regime as temperature is cooled below 270 K. In order to
understand the microscopic basis of this increase, we have performed a shell
wise decomposition of contributions of distant molecules to the temperature
fluctuations in a central molecule. This decomposition reveals the emergence,
at low temperatures, of temporally slow, spatially long ranged large
temperature fluctuations. The temperature fluctuation time correlation function
(TFCF) can be fitted to a William-Watts stretched exponential form with the
stretching parameter close to 0.6 at low temperatures, indicating highly
non-exponential relaxation. Temperature dependence of the relaxation time of
the correlation function can be fitted to Vogel-Fulcher-Tamermann expression
which provides a quantitative measure of the fragility of the liquid.
Interestingly, we find that the rapid growth in the relaxation time of TFCF
with lowering temperature undergoes a sharp crossover from a markedly fragile
state to a weakly fragile state around 220 K.


title: Reachability Probabilities of Quantum Markov Chains

abstract:
  This paper studies three kinds of long-term behaviours, namely reachability,
repeated reachability and persistence, of quantum Markov chains (qMCs). As a
stepping-stone, we introduce the notion of bottom strongly connected component
(BSCC) of a qMC and develop an algorithm for finding BSCC decompositions of the
state space of a qMC. As the major contribution, several (classical) algorithms
for computing the reachability, repeated reachability and persistence
probabilities of a qMC are presented, and their complexities are analysed.


title:
Combinatorial Proof of the Inversion Formula on the Kazhdan-Lusztig
  R-Polynomials

abstract:
  Let $W$ be a Coxeter group, and for $u,v\in W$, let $R_{u,v}(q)$ be the
Kazhdan-Lusztig $R$-polynomial indexed by $u$ and $v$. In this paper, we
present a combinatorial proof of the inversion formula on $R$-polynomials due
to Kazhdan and Lusztig. This problem was raised by Brenti. Based on Dyer's
combinatorial interpretation of the $R$-polynomials in terms of increasing
Bruhat paths, we reformulate the inversion formula in terms of $V$-paths. By a
$V$-path from $u$ to $v$ with bottom $w$ we mean a pair $(\Delta_1,\Delta_2)$
of Bruhat paths such that $\Delta_1$ is a decreasing path from $u$ to $w$ and
$\Delta_2$ is an increasing path from $w$ to $v$. We find a reflection
principle on $V$-paths, which leads to a combinatorial proof of the inversion
formula. Moreover, we give two applications of the reflection principle. First,
we restrict this involution to $V$-paths from $u$ to $v$ with maximal length.
This provides a direct interpretation for the equi-distribution property that
any nontrivial interval $[u,v]$ has as many elements of even length as elements
of odd length. This property was obtained by Verma in his derivation of the
M\"obius function of the Bruhat order. Second, using the reflection principle
for the symmetric group, we obtain a refinement of the inversion formula by
restricting the summation to permutations ending with a given element.


title:
Joint Transmit Beamforming and Receive Power Splitting for MISO SWIPT
  Systems

abstract:
  This paper studies a multi-user multiple-input single-output (MISO) downlink
system for simultaneous wireless information and power transfer (SWIPT), in
which a set of single-antenna mobile stations (MSs) receive information and
energy simultaneously via power splitting (PS) from the signal sent by a
multi-antenna base station (BS). We aim to minimize the total transmission
power at BS by jointly designing transmit beamforming vectors and receive PS
ratios for all MSs under their given signal-to-interference-plus-noise ratio
(SINR) constraints for information decoding and harvested power constraints for
energy harvesting. First, we derive the sufficient and necessary condition for
the feasibility of our formulated problem. Next, we solve this non-convex
problem by applying the technique of semidefinite relaxation (SDR). We prove
that SDR is indeed tight for our problem and thus achieves its global optimum.
Finally, we propose two suboptimal solutions of lower complexity than the
optimal solution based on the principle of separating the optimization of
transmit beamforming and receive PS, where the zero-forcing (ZF) and the
SINR-optimal based transmit beamforming schemes are applied, respectively.


title: On the graph of divisibility of an integral domain

abstract:
  It is well-known that the factorization properties of a domain are reflected
in the structure of its group of divisibility. The main theme of this paper is
to introduce a topological/graph-theoretic point of view to the current
understanding of factorization in integral domains. We also show that
connectedness properties in the graph and topological space give rise to a
generalization of atomicity.


title:
Characterization and Suppression of Low-frequency Noise in Si/SiGe
  Quantum Point Contacts and Quantum Dots

abstract:
  We report on the effects of a global top gate on low-frequency noise in
Schottky gate-defined quantum point contacts (QPCs) and quantum dots (QDs) in a
modulation-doped Si/SiGe heterostructure. For a relatively large top gate
voltage, the QPC current shows frequent switching with 1/f2 Lorentzian type
charge noise. As the top gate voltage is decreased, the QPC pinch-off voltage
becomes less negative, and the 1/f2 noise becomes rapidly suppressed in a
homogeneous background 1/f noise. We apply this top-gating technique to double
QDs to stabilize the charge state for the electron number down to zero.


title:
A Perturbed Sums of Squares Theorem for Polynomial Optimization and its
  Applications

abstract:
  We consider a property of positive polynomials on a compact set with a small
perturbation. When applied to a Polynomial Optimization Problem (POP), the
property implies that the optimal value of the corresponding SemiDefinite
Programming (SDP) relaxation with sufficiently large relaxation order is
bounded from below by $(f^\ast - \epsilon)$ and from above by $f^\ast +
\epsilon (n+1)$, where $f^\ast$ is the optimal value of the POP. We propose new
SDP relaxations for POP based on modifications of existing sums-of-squares
representation theorems. An advantage of our SDP relaxations is that in many
cases they are of considerably smaller dimension than those originally proposed
by Lasserre. We present some applications and the results of our computational
experiments.


title: Strange Attractor in the Potts Spin Glass on Hierarchical Lattices

abstract:
  The spin-glass $q$-state Potts model on $d$-dimensional diamond hierarchical
lattices is investigated by an exact real space renormalization group scheme.
Above a critical dimension $d_l(q)$ for $q > 2$, the coupling constants
probability distribution flows to a low-temperature \emph{strange attractor} or
to the high-temperature paramagnetic fixed point, according to the temperature
is below or above the critical temperature $T_c(q,d)$. The strange attractor
was investigated considering four initial different distributions for $q = 3$
and $d = 5$ presenting strong robustness in shape and temperature interval
suggesting a condensed phase with algebraic decay.


title: On an operator preserving inequalities between polynomials

abstract:
  Let $\mathscr{P}_n $ denote the space of all complex polynomials
$P(z)=\sum_{j=0}^{n}a_{j}{z}^{j}$ of degree $n$ and $\mathcal{B}_n$ a family of
operators that maps $\mathscr{P}_n$ into itself. In this paper, we consider a
problem of investigating the dependence of $$|B[P\circ\sigma](z)-\alpha
B[P\circ\rho](z)+\beta\{(\frac{R+k}{k+r})^{n}-|\alpha|\}B[P\circ\rho](z)| $$ on
the maximum and minimum modulus of $|P(z)|$ on $|z|=k$ for arbitrary real or
complex numbers $\alpha,\beta\in\mathbb{C}$ with $|\alpha|\leq 1,|\beta|\leq
1,R>r\geq k,$ $\sigma(z)=Rz,$ $\rho(z)=rz$ and establish certain sharp operator
preserving inequalities between polynomials, from which a variety of
interesting results follow as special cases.


title:
High-temperature neutron diffraction and first-principles study of
  temperature-dependent crystal structures and atomic vibrations in Ti3AlC2,
  Ti2AlC, and Ti5Al2C3

abstract:
  Herein we report on the thermal expansions and temperature-dependent crystal
structures of select ternary carbide MAX phases in the Ti-Al-C phase diagram in
the 100-1000 deg C temperature range. A bulk sample containing 38 wt.%
Ti5Al2C3, "523"), $32 wt.% Ti2AlC ("211"), 18 wt.% Ti3AlC2 ("312"), and 12 wt.%
(Ti{0.5}Al{0.5})Al is studied by Rietveld analysis of high-temperature neutron
diffraction data. We also report on the same for a single-phase sample of
Ti$_3$AlC$_2$ for comparison. The thermal expansions of all the MAX phases
studied are higher in the $c$ direction than in the $a$ direction. The bulk
expansion coefficients - 9.3 x 10^-6 for Ti5Al2C3, 9.2 x 10^-6 for Ti2AlC, and
9.0 x 10^-6 for Ti3AlC2 - are comparable within one standard deviation of each
other. In Ti5Al2C3, the dimensions of the Ti-C octahedra for the 211-like and
312-like regions are comparable to the Ti-C octahedra in Ti2AlC and Ti3AlC2,
respectively. The isotropic mean-squared atomic displacement parameters are
highest for the Al atoms in all three phases, and the values predicted from
first-principles phonon calculations agree well with those measured.


title:
Skeletons of near-critical Bienaym\'{e}-Galton-Watson branching
  processes

abstract:
  Skeletons of branching processes are defined as trees of lineages
characterized by an appropriate signature of future reproduction success. In
the supercritical case a natural choice is to look for the lineages that
survive forever. In the critical case it was earlier suggested to distinguish
the particles with the total number of descendants exceeding a certain
threshold. These two definitions lead to asymptotic representations of the
skeletons as either pure birth process (in the slightly supercritical case) or
critical birth-death processes (in the critical case conditioned on the total
number of particles exceeding a high threshold value). The limit skeletons
reveal typical survival scenarios for the underlying branching processes.
  In this paper we consider near-critical Bienaym\'{e}-Galton-Watson processes
and define their skeletons using marking of particles. If marking is rare, such
skeletons are approximated by birth and death processes which can be
subcritical, critical or supercritical. We obtain the limit skeleton for a
sequential mutation model and compute the density distribution function for the
time to escape from extinction.


title:
Enumerating maximal tatami mat coverings of square grids with $v$
  vertical dominoes

abstract:
  We enumerate a certain class of monomino-domino coverings of square grids,
which conform to the \emph{tatami} restriction; no four tiles meet. Let
$\mathbf T_{n}$ be the set of monomino-domino tatami coverings of the $n\times
n$ grid with the maximum number, $n$, of monominoes, oriented so that they have
a monomino in each of the top left and top right corners. We give an algorithm
for exhaustively generating the coverings in $\mathbf T_{n}$ with exactly $v$
vertical dominoes in constant amortized time, and an explicit formula for
counting them. The polynomial that generates these counts has the factorisation
{align*} P_n(z)\prod_{j\ge 1} S_{\lfloor \frac{n-2}{2^j} \rfloor}(z), {align*}
where $S_n(z) = \prod_{i=1}^{n} (1 + z^i)$, and $P_n(z)$ is an irreducible
polynomial, at least for ${1 < n < 200}$. We present some compelling properties
and conjectures about $P_n(z)$. For example $P_n(1) = n2^{\nu(n-2)-1}$ for all
$n \ge 2$, where $\nu(n)$ is the number of 1s in the binary representation of
$n$ and deg$(P_n(z)) = \sum_{k=1}^{n-2} Od(k)$, where $Od(k)$ is the largest
odd divisor of $k$.


title:
The Caratheodory-Fej\'er type extremal problem on locally compact
  Abelian groups

abstract:
  We consider the extremal problem of maximizing a point value jf(z)j at a
given point z 2 G by some positive definite and continuous function f on an
Abelian group G, where for a given symmetric open set 3 z, f vanishes outside
and is normalized by f(0) = 1. Denote the extremal value as CG(; z). This
extremal problem was investigated in R and Rd and for a 0-symmetric convex body
in a paper of Boas and Kac in 1943. Arestov and Berdysheva extended the
investigation to Td, where T := R=Z. Kolountzakis and R?ev?esz gave a more
general setting, considering arbitrary open sets, in all the classical groups
above. Also they observed, that such extremal problems occurred in certain
special cases and in a different, but equivalent formulation already a century
ago in the work of Carath?eodory and Fej?er. Moreover, following observations
of Boas and Kac, Kolountzakis and R?ev?esz showed how the general problem can
be reduced to equivalent discrete problems of "Carath?eodory-Fej?er type" on Z
or Zm := Z=mZ. We extend the results of Kolountzakis and R?ev?esz to locally
compact Abelian groups.


title:
Ab-initio study of the effects induced by the electron-phonon scattering
  in carbon based nanostructures

abstract:
  In this paper we investigate from first principles the effect of the
electron-phonon interaction in two paradigmatic nanostructures:
trans-polyacetylene and polyethylene. We found that the strong electron-phonon
interaction leads to the appearance of complex structures in the frequency
dependent electronic self-energy. Those structures rule out any quasi-particle
picture, and make the adiabatic and static approximations commonly used in the
well-established Heine Allen Cardona (HAC) approach inadequate. We propose,
instead, a fully ab-initio dynamical formulation of the problem within the Many
Body Perturbation Theory framework. The present dynamical theory reveals that
the structures appearing in the electronic self-energy are connected to the
existence of packets of correlated electron/phonon states. These states appear
in the spectral functions even at $T=0\,K$, revealing the key role played by
the zero point motion effect. We give a physical interpretation of these states
by disclosing their internal composition by mapping the Many Body problem to
the solution of an eigenvalue problem.


title: Minimum Accretion Rate for Millisecond Pulsar Formation in Binary System

abstract:
  186 binary pulsars are shown in the magnetic field versus spin period (B-P)
dia- gram, and their relations to the millisecond pulsars can be clearly seen.
We declaim a minimum accretion rate for the millisecond pulsar formation both
from the observation and theory. If the accretion rate is lower than the
minimum accretion rate, the pulsar in binary system will not become a
millisecond pulsar after the evolution.


title: A generic tight-binding model for monolayer, bilayer and bulk MoS2

abstract:
  Molybdenum disulfide (MoS2) is a layered semiconductor which has become very
important recently as an emerging electronic device material. Being an
intrinsic semiconductor the two-dimensional MoS2 has major advantages as the
channel material in field-effect transistors. In this work we determine the
electronic structure of MoS2 with the highly accurate screened hybrid
functional within the density functional theory (DFT) including the spin-orbit
coupling. Using the DFT electronic structures as target, we have developed a
single generic tight-binding (TB) model that accurately produces the electronic
structures for three different forms of MoS2 - bulk, bilayer and monolayer. Our
TB model is based on the Slater-Koster method with non-orthogonal sp3d5
orbitals, nearest-neighbor interactions and spin-orbit coupling. The TB model
is useful for atomistic modeling of quantum transport in MoS2 based electronic
devices.


title:
Pariser-Parr-Pople Model based Investigation of Ground and Low-Lying
  Excited States of Long Acenes

abstract:
  Several years back Angliker et al [Chem. Phys. Lett. 1982, 87, 208] predicted
nonacene to be the first linear acene with the triplet state $1^{3}B_{2u}$ as
the ground state, instead of the singlet $1^{1}A_{g}$ state. However, contrary
to that prediction, in a recent experimental work T\"onshoff and Bettinger [
Angew. Chem. Int. Ed. 2010, 49, 4125] demonstrated that nonacene has a singlet
ground state. Motivated by this experimental finding, we decided to perform a
systematic theoretical investigation of the nature of the ground, and the
low-lying excited states of long acenes, with an emphasis on the
singlet-triplet gap, starting from naphthalene, all the way up to decacene.
Methodology adopted in our work is based upon Pariser-Parr-Pople model (PPP)
Hamiltonian, along with large-scale multi-reference singles-doubles
configuration interaction (MRSDCI) approach. Our results predict that even
though the singlet-triplet gap decreases with the increasing conjugation
length, nevertheless, it remains finite till decacene, thus providing no
evidence of the predicted singlet-triplet crossover. We also analyze the nature
of many-particle wavefunction of the correlated singlet ground state and find
that the longer acenes exhibit tendency towards a open-shell singlet ground
state. Moreover, when we compare the experimental absorption spectra of
octacene and nonacene with their calculated singlet and triplet absorption
spectra, we observe excellent agreement for the singlet case. Hence, the
optical absorption results also confirm the singlet nature of the ground state
for longer acenes.


title: An Approach to Secure Mobile Enterprise Architectures

abstract:
  Due to increased security awareness of enterprises for mobile applications
operating with sensitive or personal data as well as extended regulations form
legislative (the principle of proportionality) various approaches, how to
implement (extended) two-factor authentication, multi-factor authentication or
virtual private network within enterprise mobile environments to ensure
delivery of secure applications, have been developed. Within mobile
applications it will not be sufficient to rely on security measures of the
individual components or interested parties, an overall concept of a security
solution has to be established which requires the interaction of several
technologies, standards and system components. These include the physical fuses
on the device itself as well as on the network layer (such as integrated
security components), security measures (such as employee agreements, contract
clauses), insurance coverage, but also software technical protection at the
application level (e.g. password protection, encryption, secure container). The
purpose of this paper is to summarize the challenges and practical successes,
providing best practices to fulfill appropriate risk coverage of mobile
applications. I present a use case, in order to proof the concept in actual
work settings, and to demonstrate the adaptability of the approach.


title:
Deeply Virtual Compton Scattering at a Proposed High-Luminosity
  Electron-Ion Collider

abstract:
  Several observables for the deeply virtual Compton scattering process have
been simulated in the kinematic regime of a proposed Electron-Ion Collider to
explore the possible impact of such measurements for the phenomenological
access of generalized parton distributions. In particular, emphasis is given to
the transverse distribution of sea quarks and gluons and how such measurements
can provide information on the angular momentum sum rule. The exact lepton
energy loss dependence for the unpolarized $t$-differential electroproduction
cross section, needed for a Rosenbluth separation, is also reported.


title: Surface plasmon polariton induced strong coherent superposition

abstract:
  A strong coherent superposition is shown to be induced between the energy
states of a two-level emitter immersed in a surface plasmon polariton
evanescently confined to a small metallic ring. It turns out that there is
nearly equal chance for the two-level emitter to be found either in the upper
or lower energy level at steady state even for a weaker surface plasmon driving
strength. This indicates that it is possible to create a qubit that is robust
against emitter spontaneous damping rate, which can be applicable in designing
a device that can perform certain quantum information processing tasks. In
support of this proposal, the photon statistics of the emitted radiation is
found to exhibit significant nonclassical features.


title: The RHIC Spin Program: Achievements and Future Opportunities

abstract:
  This document summarizes recent achievements of the RHIC spin program and
their impact on our understanding of the nucleon's spin structure, i.e. the
individual parton (quark and gluon) contributions to the helicity structure of
the nucleon and to understand the origin of the transverse spin phenomena. Open
questions are identified and a suite of future measurements with polarized
beams at RHIC to address them is laid out. Machine and detector requirements
and upgrades are briefly discussed.


title:
Zeros of the $W_L Z_L \rightarrow W_L Z_L$ amplitude: With or without a
  light Higgs

abstract:
  The existence of a new strong interacting sector around E ~ 1 TeV is a common
feature of Higgsless electroweak theories but also of theories with a light
Higgs, for instance, when this is not elementary. In those schemes, this new
interaction could be at the origin of an extended spectra with, in particular,
spin-1 resonances that could be hinted in elastic gauge boson scattering.
Information on those resonances, if they exist, must be contained in the
low-energy couplings of the electroweak chiral effective theory. Using the
facts that: i) the scattering of longitudinal gauge bosons, W_L, Z_L, can be
well described in the high-energy region (E >> M_W) by the scattering of the
corresponding Goldstone bosons (equivalence theorem) and that ii) the zeros of
the scattering amplitude carry the information on the heavier spectrum that has
been integrated out; we employ the O(p^4) electroweak chiral Lagrangian, with
or without a light Higgs state to identify the parameter space region of the
low-energy couplings where vector resonances may arise.


title: Coloring of a Digraph

abstract:
  \qquad A \emph{coloring} of a digraph $D=(V,E)$ is a coloring of its vertices
following the rule: Let $uv$ be an arc in $D$. If the tail $u$ is colored
first, then the head $v$ should receive a color different from that of $u$. The
\emph{dichromatic number} $\chi_d(D)$ of $D$ is the minimum number of colors
needed in a coloring of $D$. Besides obtaining many results and bounds for
$\chi_d(D)$ analogous to that of chromatic number of a graph, we prove
$\chi_d(D)=1$ if $D$ is acyclic. New notions of sequential colorings of
graphs/digraphs are introduced. A characterization of acyclic digraph is
obtained interms of $L$-matrix of a vertex labeled digraph.


title:
Approximate Controllability of Fractional Nonlocal Delay Semilinear
  Systems in Hilbert Spaces

abstract:
  We study the existence and approximate controllability of a class of
fractional nonlocal delay semilinear differential systems in a Hilbert space.
The results are obtained by using semigroup theory, fractional calculus, and
Schauder's fixed point theorem. Multi-delay controls and a fractional nonlocal
condition are introduced. Furthermore, we present an appropriate set of
sufficient conditions for the considered fractional nonlocal multi-delay
control system to be approximately controllable. An example to illustrate the
abstract results is given.


title: Characterizations of 2-Colorable (Bipartite) and 3-Colorable Graphs

abstract:
  A \emph{directional labeling} of an edge $\emph{uv}$ in a graph $G=(V,E)$ by
an ordered pair $ab$ is a labeling of the edge $uv$ such that the label on $uv$
in the direction from $u$ to $v$ is $\ell(uv)=ab$, and $\ell(vu)=ba$. New
characterizations of 2-colorable (bipartite) and 3-colorable graphs are
obtained in terms of directional labeling of edges of a graph by ordered pairs
$ab$ and $ba$. In addition we obtain characterizations of 2-colorable and
3-colorable graphs in terms of matrices called directional adjacency matrices.


title: Faster Algorithms for Markov Decision Processes with Low Treewidth

abstract:
  We consider two core algorithmic problems for probabilistic verification: the
maximal end-component decomposition and the almost-sure reachability set
computation for Markov decision processes (MDPs). For MDPs with treewidth $k$,
we present two improved static algorithms for both the problems that run in
time $O(n \cdot k^{2.38} \cdot 2^k)$ and $O(m \cdot \log n \cdot k)$,
respectively, where $n$ is the number of states and $m$ is the number of edges,
significantly improving the previous known $O(n\cdot k \cdot \sqrt{n\cdot k})$
bound for low treewidth. We also present decremental algorithms for both
problems for MDPs with constant treewidth that run in amortized logarithmic
time, which is a huge improvement over the previously known algorithms that
require amortized linear time.


title:
Topical Issue in Solar Physics: Flux-rope Structure of Coronal Mass
  Ejections Preface

abstract:
  This Topical Issue of Solar Physics, devoted to the study of flux-rope
structure in coronal mass ejections (CMEs), is based on two Coordinated Data
Analysis Workshops (CDAWs) held in 2010 (20 - 23 September in Dan Diego,
California, USA) and 2011 (September 5-9 in Alcala, Spain). The primary purpose
of the CDAWs was to address the question: Do all CMEs have flux rope structure?
There are 18 papers om this topical issue, including this preface.


title: A low cost scheme for high precision dual-wavelength laser metrology

abstract:
  A novel method capable of delivering relative optical path length metrology
with nanometer precision is demonstrated. Unlike conventional dual-wavelength
metrology which employs heterodyne detection, the method developed in this work
utilizes direct detection of interference fringes of two He-Ne lasers as well
as a less precise stepper motor open-loop position control system to perform
its measurement. Although the method may be applicable to a variety of
circumstances, the specific application where this metrology is essential is in
an astrometric optical long baseline stellar interferometer dedicated to
precise measurement of stellar positions. In our example application of this
metrology to a narrow-angle astrometric interferometer, measurement of
nanometer precision could be achieved without frequency-stabilized lasers
although the use of such lasers would extend the range of optical path length
the metrology can accurately measure. Implementation of the method requires
very little additional optics or electronics, thus minimizing cost and effort
of implementation. Furthermore, the optical path traversed by the metrology
lasers is identical with that of the starlight or science beams, even down to
using the same photodetectors, thereby minimizing the non-common-path between
metrology and science channels.


title: Observations of CMEs and Models of the Eruptive Corona

abstract:
  Current theoretical ideas on the internal structure of CMEs suggest that a
flux rope is central to the CME structure, which has considerable observational
support both from remote-sensing and in-situ observations. The flux-rope nature
is also consistent with the post-eruption arcades with high-temperature plasmas
and the charge states observed within CMEs arriving at Earth. The model
involving magnetic loop expansion to explain CMEs without flux ropes is not
viable because it contradicts CME kinematics and flare properties near the Sun.
The flux rope is fast, it drives a shock, so the global picture of CMEs becomes
complete if one includes the shock sheath to the CSHKP model.


title: Nuclei of Normal Rational Curves

abstract:
  A $k$-nucleus of a normal rational curve in PG$(n,F)$ is the intersection
over all $k$-dimensional osculating subspaces of the curve
($k\in\{-1,0,...,n-1\}$). It is well known that for characteristic zero all
nuclei are empty. In case of characteristic $p>0$ and $# F\geq n$ the number of
non-zero digits in the representation of $n+1$ in base $p$ equals the number of
distinct nuclei. An explicit formula for the dimensions of $k$-nuclei is given
for $# F\geq k+1$.


title: A Model of the Witt Design $W_{12}$ based on Quadrics of PG(2,3)

abstract:
  An elementary geometric proof for the existence of Witt's 5-(12,6,1) design
is given.


title:
A Neuromorphic VLSI Design for Spike Timing and Rate Based Synaptic
  Plasticity

abstract:
  Triplet-based Spike Timing Dependent Plasticity (TSTDP) is a powerful
synaptic plasticity rule that acts beyond conventional pair-based STDP (PSTDP).
Here, the TSTDP is capable of reproducing the outcomes from a variety of
biological experiments, while the PSTDP rule fails to reproduce them.
Additionally, it has been shown that the behaviour inherent to the spike
rate-based Bienenstock-Cooper-Munro (BCM) synaptic plasticity rule can also
emerge from the TSTDP rule. This paper proposes an analog implementation of the
TSTDP rule. The proposed VLSI circuit has been designed using the AMS 0.35 um
CMOS process and has been simulated using design kits for Synopsys and Cadence
tools. Simulation results demonstrate how well the proposed circuit can alter
synaptic weights according to the timing difference amongst a set of different
patterns of spikes. Furthermore, the circuit is shown to give rise to a
BCM-like learning rule, which is a rate-based rule. To mimic implementation
environment, a 1000 run Monte Carlo (MC) analysis was conducted on the proposed
circuit. The presented MC simulation analysis and the simulation result from
fine-tuned circuits show that, it is possible to mitigate the effect of process
variations in the proof of concept circuit, however, a practical variation
aware design technique is required to promise a high circuit performance in a
large scale neural network. We believe that the proposed design can play a
significant role in future VLSI implementations of both spike timing and rate
based neuromorphic learning systems.


title: Extending the Concept of Chain Geometry

abstract:
  We introduce the chain geometry $\Sigma(K,R)$ over a ring $R$ with a
distinguished subfield $K$, thus extending the usual concept where $R$ has to
be an algebra over $K$. A chain is uniquely determined by three of its points,
if, and only if, the multiplicative group of $K$ is normal in the group of
units of $R$. This condition is not equivalent to $R$ being a $K$-algebra. The
chains through a fixed point fall into compatibility classes which allow to
describe the residue at a point in terms of a family of affine spaces with a
common set of points.


title: A Dimension Formula for the Nucleus of a Veronese Variety

abstract:
  The nucleus of a Veronese variety is the intersection of all its osculating
hyperplanes. Various authors have given necessary and sufficient conditions for
the nucleus to be empty. We present an explicit formula for the dimension of
this nucleus for arbitrary characteristic of the ground field. As a corollary,
we obtain a dimension formula for that subspace in the $t$-th symmetric power
of a finite-dimensional vector space $V$ which is spanned by the powers $a^t$
with $\a\in\V$.


title: Affine Spaces within Projective Spaces

abstract:
  We endow the set of complements of a fixed subspace of a projective space
with the structure of an affine space, and show that certain lines of such an
affine space are affine reguli or cones over affine reguli. Moreover, we apply
our concepts to the problem of describing dual spreads. We do not assume that
the projective space is finite-dimensional or pappian.


title: On linear morphisms of product spaces

abstract:
  Let $\chi$ be a linear morphism of the product of two projective spaces
$PG(n,F)$ and $PG(m,F)$ into a projective space. Let $\gamma$ be the Segre
embedding of such a product. In this paper we give some sufficient conditions
for the existence of an automorphism $\alpha$ of the product space and a linear
morphisms of projective spaces $\phi$, such that $\gamma\phi=\alpha\chi$.


title:
SN 2012au: A Golden Link Between Superluminous Supernovae and Their
  Lower-Luminosity Counterparts

abstract:
  We present optical and near-infrared observations of SN 2012au, a
slow-evolving supernova (SN) with properties that suggest a link between
subsets of energetic and H-poor SNe and superluminous SNe. SN 2012au exhibited
conspicuous SN Ib-like He I lines and other absorption features at velocities
reaching 2 x 10^4 km/s in its early spectra, and a broad light curve that
peaked at M_B = -18.1 mag. Models of these data indicate a large explosion
kinetic energy of 10^{52} erg and 56Ni mass ejection of 0.3 Msolar on par with
SN 1998bw. SN 2012au's spectra almost one year after explosion show a blend of
persistent Fe II P-Cyg absorptions and nebular emissions originating from two
distinct velocity regions. These late-time emissions include strong [Fe II],
[Ca II], [O I], Mg I], and Na I lines at velocities > 4500 km/s, as well as O I
and Mg I lines at noticeably smaller velocities of 2000 km/s. Many of the
late-time properties of SN 2012au are similar to the slow-evolving hypernovae
SN 1997dq and SN 1997ef, and the superluminous SN 2007bi. Our observations
suggest that a single explosion mechanism may unify all of these events that
span -21 < M_B < -17 mag. The aspherical and possibly jetted explosion was most
likely initiated by the core collapse of a massive progenitor star and created
substantial high-density, low-velocity Ni-rich material.


title: Another Simple Proof for the Existence of the Small Witt Design

abstract:
  We give a short proof for the existence of the small Witt design which is
based on the projective plane of order three with one point deleted.


title: Splitting of levels in a circular dielectric waveguide

abstract:
  A splitting of modes in a circular graded-index optical fiber is demonstrated
by solving the full Maxwell equations using the perturbation analysis. It is
shown that the degeneracy of vortex Laguerre-Gauss modes with distinct orbital
angular momentum (OAM) and polarization (spin) but the same total angular
momentum is lifted due to the spin-orbit (vector) and tensor forces. Numerical
estimations of group delays of modes in optical fiber and frequency splitting
in Fabry-Perot and ring resonators are presented.


title: Projective Representations I. Projective lines over rings

abstract:
  We discuss representations of the projective line over a ring $R$ with 1 in a
projective space over some (not necessarily commutative) field $K$. Such a
representation is based upon a $(K,R)$-bimodule $U$. The points of the
projective line over $R$ are represented by certain subspaces of the projective
space $P(K,U\times U)$ that are isomorphic to one of their complements. In
particular, distant points go over to complementary subspaces, but in certain
cases, also non-distant points may have complementary images.


title: On embedded products of Grassmannians

abstract:
  Let $\Gamma'$ and $\Gamma$ be two Grassmannians. The standard embedding
$\phi:\Gamma'\times\Gamma\to \bar{P}$ is obtained by combining the Pl\"ucker
and Segre embeddings. Given a further embedding $\eta: \Gamma'\times\Gamma \to
P'$, we find a sufficient condition for the existence of $\alpha\in
Aut(\Gamma)$ and of a collineation $\psi: \bar{P} \to P'$ such that $\eta=({\rm
id}_{\Gamma'}\times\alpha)\phi\psi$.


title: Entanglement Zoo I: Foundational and Structural Aspects

abstract:
  We put forward a general classification for a structural description of the
entanglement present in compound entities experimentally violating Bell's
inequalities, making use of a new entanglement scheme that we developed
recently. Our scheme, although different from the traditional one, is
completely compatible with standard quantum theory, and enables quantum
modeling in complex Hilbert space for different types of situations. Namely,
situations where entangled states and product measurements appear ('customary
quantum modeling'), and situations where states and measurements and evolutions
between measurements are entangled ('nonlocal box modeling', 'nonlocal
non-marginal box modeling'). The role played by Tsirelson's bound and marginal
distribution law is emphasized. Specific quantum models are worked out in
detail in complex Hilbert space within this new entanglement scheme.


title: On the action of Hecke operators on Drinfeld modular forms

abstract:
  In this paper we determine the explicit structure of the semisimple part of
the Hecke algebra that acts on Drinfeld modular forms of full level modulo T .
We use computations of the Hecke action modulo T to find Drinfeld modular forms
that cannot be eigenforms. Finally, we conjecture that the Hecke algebra that
acts on Drinfeld modular forms of full level is not smooth for large weight.


title: Entanglement Zoo II: Examples in Physics and Cognition

abstract:
  We have recently presented a general scheme enabling quantum modeling of
different types of situations that violate Bell's inequalities. In this paper,
we specify this scheme for a combination of two concepts. We work out a quantum
Hilbert space model where 'entangled measurements' occur in addition to the
expected 'entanglement between the component concepts', or 'state
entanglement'. We extend this result to a macroscopic physical entity, the
'connected vessels of water', which maximally violates Bell's inequalities. We
enlighten the structural and conceptual analogies between the cognitive and
physical situations which are both examples of a nonlocal non-marginal box
modeling in our classification.


title:
Lipschitz Equivalence Class, Ideal Class and the Gauss Class Number
  Problem

abstract:
  In this paper, we study the question of classifying self-similar sets under
bi-Lipschitz mappings and obtain an important bi-Lipschitz invariant, which is
an ideal of a ring related to IFS. Roughly speaking, different Lipschitz
equivalence classes of self-similar sets correspond to different ideal classes
of a related ring. This result reveals an interesting relationship between the
Lipschitz classification problem in fractal geometry and the Gauss class number
problem in algebraic number theory.


title: Meaning-focused and Quantum-inspired Information Retrieval

abstract:
  In recent years, quantum-based methods have promisingly integrated the
traditional procedures in information retrieval (IR) and natural language
processing (NLP). Inspired by our research on the identification and
application of quantum structures in cognition, more specifically our work on
the representation of concepts and their combinations, we put forward a
'quantum meaning based' framework for structured query retrieval in text
corpora and standardized testing corpora. This scheme for IR rests on
considering as basic notions, (i) 'entities of meaning', e.g., concepts and
their combinations and (ii) traces of such entities of meaning, which is how
documents are considered in this approach. The meaning content of these
'entities of meaning' is reconstructed by solving an 'inverse problem' in the
quantum formalism, consisting of reconstructing the full states of the entities
of meaning from their collapsed states identified as traces in relevant
documents. The advantages with respect to traditional approaches, such as
Latent Semantic Analysis (LSA), are discussed by means of concrete examples.


title: Theory of Nucleation in Phase-separating Nanoparticles

abstract:
  The basic physics of nucleation in solid \hl{single-crystal} nanoparticles is
revealed by a phase-field theory that includes surface energy, chemical
reactions and coherency strain. In contrast to binary fluids, which form
arbitrary contact angles at surfaces, complete "wetting" by one phase is
favored at binary solid surfaces. Nucleation occurs when surface wetting
becomes unstable, as the chemical energy gain (scaling with area) overcomes the
elastic energy penalty (scaling with volume). The nucleation barrier thus
decreases with the area-to-volume ratio and vanishes below a critical size, and
nanoparticles tend to transform in order of increasing size, leaving the
smallest particles homogeneous (in the phase of lowest surface energy). The
model is used to simulate phase separation in realistic nanoparticle geometries
for \ce{Li_XFePO4}, a popular cathode material for Li-ion batteries, and
collapses disparate experimental data for the nucleation barrier, with no
adjustable parameters. Beyond energy storage, the theory generally shows how to
tailor the elastic and surface properties of a solid nanostructure to achieve
desired phase behavior.


title: Four Games on Boolean Algebras

abstract:
  The games G_2 and G_3 are played on a complete Boolean algebra B in
\omega-many moves. At the beginning White picks a non-zero element p of B and,
in the n-th move, White picks a positive p_n < p and Black chooses an i_n
belonging to {0,1}. White wins G_2 iff liminf p_n^{i_n}=0 and wins G_3 iff
\bigvee_{A\in [\omega ]^\omega}\bigwedge_{n\in A}p_n^{i_n}=0. It is shown that
White has a winning strategy in the game G_2 iff White has a winning strategy
in the cut-and-choose game G_c&c introduced by Jech. Also, White has a winning
strategy in the game G_3 iff forcing by B produces a subset R of the binary
tree 2^{<\omega} containing either f^0 or f^1, for each f in 2^{<\omega}, and
having unsupported intersection with each branch of the tree 2^{<\omega}
belonging to V. On the other hand, if forcing by B produces independent
(splitting) reals then White has a winning strategy in the game G_3 played on
B. It is shown that $\diamondsuit$ implies the existence of an algebra on which
these games are undetermined.


title: Locally frozen magnetic field in HTSC ceramics

abstract:
  The value of a locally frozen magnetic field in a region with a diameter of
0.5 mm in a 0.5-mm-thick YBa2Cu3O7-x plate was investigated as a function of
the excitation field (to 2x10^4 A/m), plate cooling mode (in the absence or
presence of a field; i.e., zero-field cooling (ZFC) or field coupling (FC)),
and local demagnetizing field. Analysis of the measurement results in the noted
range of excitation fields showed the following: (i) the dependence on the
excitation field for the ZFC mode is explained by the local inhomogeneity of
critical currents of weak links in the ceramic Josephson medium and is limited
by their maximum value at the temperature of the experiment (77 K); (ii) the
dependence on the excitation field for the FC mode contains a portion of the
magnetic phase transition from the frozen current structure, typical of the
initial portion of the dependence, to the current structure characteristic of
the ZFC freezing mode, and is limited by this transition; and (iii) the
dependence on the demagnetizing field for the ZFC mode can be explained by the
stable coexistence (without annihilation) of microscopic current loops with
opposite current directions in the ceramics.


title:
Multivariable Newton-Puiseux Theorem for Generalised Quasianalytic
  Classes

abstract:
  We show how to solve explicitly an equation satisfied by a real function
belonging to certain general quasianalytic classes. Examples of the classes
under consideration are the collection of convergent generalised power series,
a class of functions which contains some Dulac Transition Maps of real analytic
planar vector fields, quasianalytic Denjoy-Carleman classes and the collection
of multisummable series.


title: Theory of Spatial Optical Solitons in Metallic Nanowire Materials

abstract:
  We characterize the spatial optical solitons supported by arrays of metallic
nanowires embedded in Kerr-type material. The array of nanowires is described
using an effective medium model and is regarded as a continuous medium. It is
shown that the conditions necessary for the formation of spatial-solitons are
radically different in presence of the nanowires, and in particular within the
effective medium model spatial-solitons are allowed in the nanowire material
only in case the host material is a "self-defocusing" material. It is proven
that the characteristic soliton beamwidth is related to the degree of
hyperbolicity of the isofrequency surfaces of the photonic states, and that a
sufficiently strong electric field amplitude may enable subwavelength solitary
waves.


title:
A Signal Constellation for Pilotless Communications Over Wiener Phase
  Noise Channels

abstract:
  Many satellite communication systems operating today employ low cost
upconverters or downconverters which create phase noise. This noise can
severely limit the information rate of the system and pose a serious challenge
for the detection systems. Moreover, simple solutions for phase noise tracking
such as PLL either require low phase noise or otherwise require many pilot
symbols which reduce the effective data rate. In order to increase the
effective information rate, we propose a signal constellation which does not
require pilots, at all, in order to converge in the decoding process. In this
contribution, we will present a signal constellation which does not require
pilot sequences, but we require a signal that does not present rotational
symmetry. For example a simple MPSK cannot be used.Moreover, we will provide a
method to analyze the proposed constellations and provide a figure of merit for
their performance when iterative decoding algorithms are used.


title:
Features of amplification of dipole magnetic field with linear
  ferromagnetic concentrator

abstract:
  Amplification of a low frequency magnetic field from a dipole source by means
of linear ferromagnetic concentrator of different dimensions (permalloy micro
wire) has been investigated experimentally. The results obtained strengthen the
validity of the analytical relation for amplification which allows for
nonlinear dependence of the magnetic permeability upon the value and
distribution of the dipole field over concentrator length.


title:
Branched Spherical CR structures on the complement of the figure eight
  knot

abstract:
  We obtain a branched spherical CR structure on the complement of the figure
eight knot with a given holonomy representation (called rho_2). There are
essentially two boundary unipotent representations from the complement of the
figure eight knot into PU(2,1), we call them rho_1 and rho_2. We make explicit
some fundamental differences between these two representations. For instance,
seeing the figure eight knot complement as a surface bundle over the circle,
the behaviour of of the fundamental group of the fiber under the representation
is a key difference between rho_1 and rho_2.


title:
Effect of impurities with retarded interaction with quasiparticles upon
  critical temperature of s-wave superconductor

abstract:
  Generalization of a disordered metal's theory has been proposed when
scattering of quasiparticles by impurities is caused with a retarded
interaction. It was shown that in this case Anderson's theorem was violated in
the sense that embedding of the impurities in s-wave superconductor increases
its critical temperature. The increasing depends on parameters of the metal,
impurities and their concentration. At a specific relation between the
parameters the critical temperature of the dirty superconductor can essentially
exceed critical temperature of pure one up to room temperature. Thus the
impurities catalyze superconductivity in an originally low-temperature
superconductor.


title: The universal enveloping algebra of the Witt algebra is not noetherian

abstract:
  This work is prompted by the long standing question of whether it is possible
for the universal enveloping algebra of an infinite dimensional Lie algebra to
be noetherian. To address this problem, we answer a 23-year-old question of
Carolyn Dean and Lance Small; namely, we prove that the universal enveloping
algebra of the Witt (or centerless Virasoro) algebra is not noetherian. To show
this, we prove our main result: the universal enveloping algebra of the
positive part of the Witt algebra is not noetherian. We employ
algebro-geometric techniques from the first author's classification of
(noncommutative) birationally commutative projective surfaces.
  As a consequence of our main result, we also show that the enveloping
algebras of many other infinite dimensional Lie algebras are not noetherian.
These Lie algebras include the Virasoro algebra and all infinite dimensional
Z-graded simple Lie algebras of polynomial growth.


title: Excitation of an Atom by Twisted Photons

abstract:
  Twisted photon states, or photon states with large ($> \hbar$) angular
momentum projection in the direction of motion, can photoexcite atomic final
states of differing quantum numbers. If the photon symmetry axis coincides with
the center of an atom, there are known selection rules that require exact
matching between the quantum numbers of the photon and the photoexcited states.
The more general case of arbitrarily positioned beams relaxes the selection
rules but produces a distribution of quantum numbers of the final atomic states
that is novel and distinct from final states produced by plane-wave photons.
Numerical calculations are presented using a hydrogen atom as an example.

categories: quant-ph hep-ph physics.atom-ph physics.optics


title: The Illusion of Requirements in Software Development

abstract:
  It is widely accepted that understanding system requirements is important for
software development project success. However, this paper presents two novel
challenges to the requirements concept. First, where many plausible approaches
to achieving a goal are evident, there may be insufficient overlap between
approaches to form requirements. Second, while all plausible approaches may
have sufficient overlap to state requirements, we cannot know that unless all
approaches are identified and we are sure that none have been missed. This
suggest that many, if not most, software projects may have too few requirements
drive the design process, and that analysts may misrepresent design decisions
as requirements to compensate.


title: 3PF2 pairing in high-density neutron matter

abstract:
  The onset of the 3PF2 superfluid phase in high-density neutron matter is
studied within the BCS framework with two and three body forces. Owing to the
strong correlations the energy gap is so sizeably quenched as to demand to
reconsider the role of superfluidity in neutron-star phenomena.


title: Directional genetic differentiation and asymmetric migration

abstract:
  Understanding the population structure and patterns of gene flow within
species is of fundamental importance to the study of evolution. In the fields
of population and evolutionary genetics, measures of genetic differentiation
are commonly used to gather this information. One potential caveat is that
these measures assume gene flow to be symmetric. However, asymmetric gene flow
is common in nature, especially in systems driven by physical processes such as
wind or water currents. Since information about levels of asymmetric gene flow
among populations is essential for the correct interpretation of the
distribution of contemporary genetic diversity within species, this should not
be overlooked. To obtain information on asymmetric migration patterns from
genetic data, complex models based on maximum likelihood or Bayesian approaches
generally need to be employed, often at great computational cost. Here, a new
simpler and more efficient approach for understanding gene flow patterns is
presented. This approach allows the estimation of directional components of
genetic divergence between pairs of populations at low computational effort,
using any of the classical or modern measures of genetic differentiation. These
directional measures of genetic differentiation can further be used to
calculate directional relative migration and to detect asymmetries in gene flow
patterns. This can be done in a user-friendly web application called
divMigrate-online introduced in this paper. Using simulated data sets with
known gene flow regimes, we demonstrate that the method is capable of resolving
complex migration patterns under a range of study designs.


title: Numerical Approaches on Driven Elastic Interfaces in Random Media

abstract:
  We discuss the universal dynamics of elastic interfaces in quenched random
media. We focus in the relation between the rough geometry and collective
transport properties in driven steady-states. Specially devised numerical
algorithms allow us to analyze the equilibrium, creep, and depinning regimes of
motion in minimal models. The relevance of our results for understanding domain
wall experiments is outlined.


title: On Photoionization in the Hard X-Ray Region

abstract:
  It is demonstrated that recent experiments on ionization of 3p and 3s
electrons in Ni film and solid body cannot be described in the frames of
Hartree-Fock or the random phase approximation with exchange. The deviation is
so big that from the theoretical side it requires inclusion of huge and yet not
entirely understood effects. Perhaps, it requires also experimental efforts in
order to clarify the prominent difference obtained for films and crystal
samples.


title:
Study of $e^+ e^- \to \pi^+ \pi^- J/\psi$ and Observation of a Charged
  Charmonium-like State at Belle

abstract:
  The cross section for $e^+ e^- \to \pi^+ \pi^- J/\psi$ between 3.8 GeV and
5.5 GeV is measured with a 967 fb$^{-1}$ data sample collected by the Belle
detector at or near the $\Upsilon(nS)$ ($n = 1,\ 2,\ ...,\ 5$) resonances. The
Y(4260) state is observed, and its resonance parameters are determined. In
addition, an excess of $\pi^+ \pi^- J/\psi$ production around 4 GeV is
observed. This feature can be described by a Breit-Wigner parameterization with
properties that are consistent with the Y(4008) state that was previously
reported by Belle. In a study of $Y(4260) \to \pi^+ \pi^- J/\psi$ decays, a
structure is observed in the $M(\pi^\pm\jpsi)$ mass spectrum with $5.2\sigma$
significance, with mass $M=(3894.5\pm 6.6\pm 4.5) {\rm MeV}/c^2$ and width
$\Gamma=(63\pm 24\pm 26)$ MeV/$c^{2}$, where the errors are statistical and
systematic, respectively. This structure can be interpreted as a new charged
charmonium-like state.


title: Color Perception: Opening up the Chromaticity Cone

abstract:
  In the XYZ color space, the subset of the tri-stimuli corresponding to
spike-type (monochromatic) impingement of energy is the chromaticity cone, CC.
Using a family of concentric spheres, we describe a nonlinear transformation
over the CC and construct a bijection from the CC onto the flat plane. In the
process, we open up the CC and view it as a chart on the plane. Because the map
is a bijection, the color perception information is preserved (invariant)
through the transformation. We discuss stereographic projection of the
chromaticity chart and some examples.


title: Global ill-posedness of the isentropic system of gas dynamics

abstract:
  We consider the isentropic compressible Euler system in 2 space dimensions
with pressure law $p({\rho}) = {\rho}^2$ and we show the existence of classical
Riemann data, i.e. pure jump discontinuities across a line, for which there are
infinitely many admissible bounded weak solutions (bounded away from the void).
We also show that some of these Riemann data are generated by a 1-dimensional
compression wave: our theorem leads therefore to Lipschitz initial data for
which there are infinitely many global bounded admissible weak solutions.


title: Photonics meets excitonics: natural and artificial molecular aggregates

abstract:
  Organic molecules store the energy of absorbed light in the form of
charge-neutral molecular excitations -- Frenkel excitons. Usually, in amorphous
organic materials, excitons are viewed as quasiparticles, localized on single
molecules, which diffuse randomly through the structure. However, the picture
of incoherent hopping is not applicable to some classes of molecular aggregates
-- assemblies of molecules that have strong near field interaction between
electronic excitations in the individual subunits. Molecular aggregates can be
found in nature, in photosynthetic complexes of plants and bacteria, and they
can also be produced artificially in various forms including quasi-one
dimensional chains, two-dimensional films, tubes, etc. In these structures
light is absorbed collectively by many molecules and the following dynamics of
molecular excitation possesses coherent properties. This energy transfer
mechanism, mediated by the coherent exciton dynamics, resembles the propagation
of electromagnetic waves through a structured medium on the nanometer scale.
The absorbed energy can be transferred resonantly over distances of hundreds of
nanometers before exciton relaxation occurs. Furthermore, the spatial and
energetic landscape of molecular aggregates can enable the funneling of the
exciton energy to a small number of molecules either within or outside the
aggregate. In this review we establish a bridge between the fields of photonics
and excitonics by describing the present understanding of exciton dynamics in
molecular aggregates.


title: On d-Walk Regular Graphs

abstract:
  Let G be a graph with set of vertices 1,...,n and adjacency matrix A of size
nxn. Let d(i,j)=d, we say that f_d:N->N is a d-function on G if for every pair
of vertices i,j and k>=d, we have a_ij^(k)=f_d(k). If this function f_d exists
on G we say that G is d-walk regular. We prove that G is d-walk regular if and
only if for every pair of vertices i,j at distance <=d and for d<=k<=n+d-1, we
have that a_ij^(k) is independent of the pair i,j. Equivalently, the single
condition exp(A)*A_d=cA_d holds for some constant c, where A_d is the adjacency
matrix of the d-distance graph and * denotes the Schur product.


title: Infinitesimal deformations of null-filiform Leibniz superalgebras

abstract:
  In this paper we describe the infinitesimal deformations of null-filiform
Leibniz superalgebras over a field of zero characteristic. It is known that up
to isomorphism in each dimension there exist two such superalgebras $NF^{n,m}$.
One of them is a Leibniz algebra (that is $m=0$) and the second one is a pure
Leibniz superalgebra (that is $m\neq 0$) of maximum nilindex. We show that the
closure of union of orbits of single-generated Leibniz algebras forms an
irreducible component of the variety of Leibniz algebras. We prove that any
single-generated Leibniz algebra is a linear integrable deformation of the
algebra $NF^{n}$. Similar results for the case of Leibniz superalgebras are
obtained.


title: Future liquid Argon detectors

abstract:
  The Liquid Argon Time Projection Chamber offers an innovative technology for
a new class of massive detectors for rare-event detection. It is a precise
tracking device that allows three-dimensional spatial reconstruction with
mm-scale precision of the morphology of ionizing tracks with the imaging
quality of a "bubble chamber", provides $dE/dx$ information with high sampling
rate, and acts as high-resolution calorimeter for contained events. First
proposed in 1977 and after a long maturing process, its holds today the
potentialities of opening new physics opportunities by providing excellent
tracking and calorimetry performance at the relevant multi-kton mass scales,
outperforming other techniques. In this paper, we review future liquid argon
detectors presently being discussed by the neutrino physics community.


title: Factoring 51 and 85 with 8 qubits

abstract:
  We construct simplified quantum circuits for Shor's order-finding algorithm
for composites N given by products of the Fermat primes 3, 5, 17, 257, and
65537. Such composites, including the previously studied case of 15, as well as
51, 85, 771, 1285, 4369,... have the simplifying property that the order of a
modulo N for every base a coprime to N is a power of 2, significantly reducing
the usual phase estimation precision requirement. Prime factorization of 51 and
85 can be demonstrated with only 8 qubits and a modular exponentiation circuit
consisting of no more than four CNOT gates.


title: Black branes dual to striped phases

abstract:
  We construct inhomogeneous charged black branes in AdS, holographically dual
to a phase at finite chemical potential with spontaneously broken translation
invariance in one direction. These are obtained numerically, solving PDEs for
the fully backreacted system. Fixing the periodicity scale, we find a second
order phase transition to the inhomogeneous phase. We comment on the properties
of the state emerging at low temperatures. For some models we demonstrate the
existence of a branch of striped solutions but no continuous phase transition.


title: Linearised Higher Variational Equations

abstract:
  This work explores the tensor and combinatorial constructs underlying the
linearised higher-order variational equations of a generic autonomous system
along a particular solution. The main result of this paper is a compact yet
explicit and computationally amenable form for said variational systems and
their monodromy matrices. Alternatively, the same methods are useful to
retrieve, and sometimes simplify, systems satisfied by the coefficients of the
Taylor expansion of a formal first integral for a given dynamical system. This
is done in preparation for further results within Ziglin-Morales-Ramis theory,
specifically those of a constructive nature.


title:
Theory of carrier density in multigated doped graphene sheets with
  quantum correction

abstract:
  The quantum capacitance model is applied to obtain an exact solution for the
space-resolved carrier density in a multigated doped graphene sheet at zero
temperature, with quantum correction arising from the finite electron capacity
of the graphene itself taken into account. The exact solution is demonstrated
to be equivalent to the self-consistent Poisson-Dirac iteration method by
showing an illustrative example, where multiple gates with irregular shapes and
a nonuniform dopant concentration are considered. The solution therefore
provides a fast and accurate way to compute spatially varying carrier density,
on-site electric potential energy, as well as quantum capacitance for bulk
graphene, allowing for any kind of gating geometry with any number of gates and
any types of intrinsic doping.


title:
Temperature Size Rule is mediated by thermal plasticity of critical size
  in Drosophila melanogaster

abstract:
  Most ectotherms show an inverse relationship between developmental
temperature and body size, a phenomenon known as the temperature size rule
(TSR). Several competing hypotheses have been proposed to explain its
occurrence. According to one set of views, the TSR results from inevitable
biophysical effects of temperature on the rates of growth and differentiation,
whereas other views suggest the TSR is an adaptation that can be achieved by a
diversity of mechanisms in different taxa. Our data reveal that the fruit fly,
Drosophila melanogaster, obeys the TSR using a novel mechanism: reduction of
critical size at higher temperatures. In holometabolous insects, attainment of
critical size initiates the hormonal cascade that terminates growth, and hence,
Drosophila larvae appear to instigate the signal to stop growth at a smaller
size at higher temperatures. This is in contrast to findings from another
holometabolous insect, Manduca sexta, in which the TSR results from the effect
of temperature on the rate and duration of growth. This contrast suggests that
there is no single mechanism that accounts for the TSR. Instead, the TSR
appears to be an adaptation that is achieved at a proximate level through
different mechanisms in different taxa.


title:
Adaptive Energy-aware Encoding for DWT-Based Wireless EEG Monitoring
  System

abstract:
  Wireless Electroencephalography (EEG) tele-monitoring systems performing
encoding and streaming over energy-hungry wireless channels are limited in
energy supply. However, excessive power consumption either in encoding or radio
channel may render some applications inapplicable. Hence, energy efficient
methods are needed to improve such applications. In this work, an embedded EEG
encoding system should be able to adjust its computational complexity, hence,
energy consumption according to the channel variations. To analyze the
distortion-compression ratio (PRD-CR) behavior of the wireless EEG system under
energy constraints, both encoding and transmission power should be taken into
consideration. In this paper, we propose a power-distortion- compression ratio
(P-PRD-CR) framework, which extends the traditional PRD-CR to P-PRD-CR model.
We analyze the computational complexity for a typical discrete wavelet
transform (DWT)-based encoding system. Using our developed P-PRD-CR framework,
the encoder effectively reconfigures the complexity control parameters to match
the energy constraints while retaining maximum reconstruction quality. Results
show that using the proposed framework, we can obtain higher reconstruction
accuracy for the same power constrained-portable device.


title: Unital Dilations of Completely Positive Semigroups

abstract:
  Dilations of completely positive semigroups to endomorphism semigroups have
been studied by numerous authors. Most existing dilation theorems involve a
non-unital embedding, corresponding to the embedding of $B(H)$ as a corner of
$B(K)$ for Hilbert spaces $H \subset K$. A 1986 paper of Jean-Luc Sauvageot
shows how to achieve a unital dilation, but does not specify how to do so while
also preserving continuity properties of the original semigroup. This thesis
further develops Sauvageot's dilation theory in order to establish the
existence of continuous unital dilations, and to explore connections with free
probability.


title:
Characterizing the stellar photospheres and near-infrared excesses in
  accreting T Tauri systems

abstract:
  Using NASA IRTF SpeX data from 0.8 to 4.5 $\mu$m, we determine
self-consistently the stellar properties and excess emission above the
photosphere for a sample of classical T Tauri stars (CTTS) in the Taurus
molecular cloud with varying degrees of accretion. This process uses a
combination of techniques from the recent literature as well as observations of
weak-line T Tauri stars (WTTS) to account for the differences in surface
gravity and chromospheric activity between the TTS and dwarfs, which are
typically used as photospheric templates for CTTS. Our improved veiling and
extinction estimates for our targets allow us to extract flux-calibrated
spectra of the excess in the near-infrared. We find that we are able to produce
an acceptable parametric fit to the near-infrared excesses using a combination
of up to three blackbodies. In half of our sample, two blackbodies at
temperatures of 8000 K and 1600 K suffice. These temperatures and the
corresponding solid angles are consistent with emission from the accretion
shock on the stellar surface and the inner dust sublimation rim of the disk,
respectively. In contrast, the other half requires three blackbodies at 8000,
1800, and 800 K, to describe the excess. We interpret the combined two cooler
blackbodies as the dust sublimation wall with either a contribution from the
disk surface beyond the wall or curvature of the wall itself, neither of which
should have single-temperature blackbody emission. In these fits, we find no
evidence of a contribution from optically thick gas inside the inner dust rim.


title:
Photometric Variability in Kepler Target Stars. III. Comparison with the
  Sun on Different Timescales

abstract:
  We utilize Kepler data to study the precision differential photometric
variability of solar-type and cooler stars at different timescales, ranging
from half an hour to 3 months. We define a diagnostic that characterizes the
median differential intensity change between data bins of a given timescale. We
apply the same diagnostics to SOHO data that has been rendered comparable to
Kepler. The Sun exhibits similar photometric variability on all timescales as
comparable solar-type stars in the Kepler field (it is not unusually quiet).
The previously-defined photometric "range" serves as our activity proxy (driven
by starspot coverage). We revisit the fraction of comparable stars in the
Kepler field that are more active than the Sun. The exact active fraction
depends on what is meant by "more active than the Sun", and on the magnitude
limit of the sample of stars considered. This active fraction is between a
quarter and a third (depending on the timescale). We argue that a reliable
result requires timescales of half a day or longer and stars brighter than
Kepler magnitude of 14, otherwise non-stellar noise distorts it. We also
analyze main sequence stars grouped by temperature from 6500-3500K. As one
moves to cooler stars, the active fraction of stars becomes steadily larger
(greater than 90% for early M dwarfs). The Sun is a good photometric model at
all timescales for those cooler stars that have long-term variability within
the span of solar variability.


title: Defect-Induced Magnetism in Solids

abstract:
  In the last years the number of nominally non-magnetic solids showing
magnetic order induced by some kind of defects has increased continuously. From
the single element material graphite to several covalently bonded non-magnetic
compounds, the influence of defects like vacancies and/or non-magnetic ad-atoms
on triggering magnetic order has attracted the interest of experimentalists and
theoreticians. We review and discuss the main theoretical approach as well as
recently obtained experimental evidence based on different experimental methods
that supports the existence of defect-induced magnetism (DIM) in non-magnetic
as well as in magnetic materials.


title:
Differential equations and logarithmic intertwining operators for
  strongly graded vertex algebras

abstract:
  We derive certain systems of differential equations for matrix elements of
products and iterates of logarithmic intertwining operators among strongly
graded generalized modules for a strongly graded conformal vertex algebra under
suitable assumptions. Using these systems of differential equations, we verify
the convergence and extension property needed in the logarithmic tensor
category theory for such strongly graded generalized modules developed by
Huang, Lepowsky and Zhang.


title: Enumeration of bipartite graphs and bipartite blocks

abstract:
  Using the theory of combinatorial species, we compute the cycle index for
bipartite graphs, which we use to count unlabeled bipartite graphs and
bipartite blocks.


title: Packet Relaying Control in Sensing-based Spectrum Sharing Systems

abstract:
  Cognitive relaying has been introduced for opportunistic spectrum access
systems by which a secondary node forwards primary packets whenever the primary
link faces an outage condition. For spectrum sharing systems, cognitive
relaying is parametrized by an interference power constraint level imposed on
the transmit power of the secondary user. For sensing-based spectrum sharing,
the probability of detection is also involved in packet relaying control. This
paper considers the choice of these two parameters so as to maximize the
secondary nodes' throughput under certain constraints. The analysis leads to a
Markov decision process using dynamic programming approach. The problem is
solved using value iteration. Finally, the structural properties of the
resulting optimal control are highlighted.


title: Community core detection in transportation networks

abstract:
  This work analyses methods for the identification and the stability under
perturbation of a territorial community structure with specific reference to
transportation networks. We considered networks of commuters for a city and an
insular region. In both cases, we have studied the distribution of commuters'
trips (i.e., home-to-work trips and viceversa). The identification and
stability of the communities' cores are linked to the land-use distribution
within the zone system, and therefore their proper definition may be useful to
transport planners.


title: Some remarks on Landau-Ginzburg potentials for odd-dimensional quadrics

abstract:
  We study the possibility of constructing a Frobenius manifold for the
standard Landau-Ginzburg model of odd-dimensional quadrics $Q_{2n+1}$ and
matching it with the Frobenius manifold attached to the quantum cohomology of
these quadrics. Namely, we show that the initial conditions of the quantum
cohomology Frobenius manifold of the quadric can be obtained from the suitably
modified standard Landau-Ginzburg model.


title: Which alternating and symmetric groups are unit groups?

abstract:
  We prove there is no ring with unit group isomorphic to S_n for n \geq 5 and
that there is no ring with unit group isomorphic to A_n for n \geq 5, n \neq 8.
We give examples of rings with unit groups isomorphic to S_1, S_2, S_3, S_4,
A_1, A_2, A_3, A_4, and A_8. We expect our methods to work similarly for other
groups with trivial center; in particular, we plan to consider other simple
groups in later work.


title:
Thermodynamics of coherent interfaces under mechanical stresses. I.
  Theory

abstract:
  We present a thermodynamic theory of plane coherent solid-solid interfaces in
multicomponent systems subject to nonhydrostatic mechanical stresses. The
interstitial and substitutional chemical components are treated separately
using chemical potentials and diffusion potentials, respectively. All interface
excess quantities are derived using Cahns (1979) generalized excess method
without resorting to geometric dividing surfaces. We present expressions for
the interface free energy as an excess quantity and derive a generalized
adsorption equation and an interface Gibbs-Helmholtz equation that does not
contain the interface entropy. The interface stress tensor emerges naturally
from the generalized adsorption equation as an appropriate excess over bulk
stresses and is shown to be generally nonunique. Another interface property
emerging from the generalized adsorption equation is the interface excess
shear. This property is specific to coherent interfaces and represents the
thermodynamic variable conjugate to the shear stress applied parallel to the
interface. The theory reveals a number of Maxwell relations describing cross
effects between thermal, chemical, and mechanical responses of coherent
interfaces. In Part II of this work, this theory will be applied to atomistic
computer simulations of grain boundaries.


title: Phase Transition and Network Structure in Realistic SAT Problems

abstract:
  A fundamental question in Computer Science is understanding when a specific
class of problems go from being computationally easy to hard. Because of its
generality and applications, the problem of Boolean Satisfiability (aka SAT) is
often used as a vehicle for investigating this question. A signal result from
these studies is that the hardness of SAT problems exhibits a dramatic
easy-to-hard phase transition with respect to the problem constrainedness. Past
studies have however focused mostly on SAT instances generated using uniform
random distributions, where all constraints are independently generated, and
the problem variables are all considered of equal importance. These assumptions
are unfortunately not satisfied by most real problems. Our project aims for a
deeper understanding of hardness of SAT problems that arise in practice. We
study two key questions: (i) How does easy-to-hard transition change with more
realistic distributions that capture neighborhood sensitivity and
rich-get-richer aspects of real problems and (ii) Can these changes be
explained in terms of the network properties (such as node centrality and
small-worldness) of the clausal networks of the SAT problems. Our results,
based on extensive empirical studies and network analyses, provide important
structural and computational insights into realistic SAT problems. Our
extensive empirical studies show that SAT instances from realistic
distributions do exhibit phase transition, but the transition occurs sooner (at
lower values of constrainedness) than the instances from uniform random
distribution. We show that this behavior can be explained in terms of their
clausal network properties such as eigenvector centrality and small-worldness
(measured indirectly in terms of the clustering coefficients and average node
distance).


title: Exact Controllability for Stochastic Transport Equations

abstract:
  This paper is addressed to studying the exact controllability for stochastic
transport equations by two controls: one is a boundary control imposed on the
drift term and the other is an internal control imposed on the diffusion term.
By means of the duality argument, this controllability problem can be reduced
to an observability problem for backward stochastic transport equations, and
the desired observability estimate is obtained by a new global Carleman
estimate. Also, we present some results about the lack of exact
controllability, which show that the action of two controls is necessary. To
some extent, this indicates that the controllability problems for stochastic
PDEs differ from their deterministic counterpart.


title:
On the importance of astronomical refraction for modern Solar
  astrometric measurements

abstract:
  In this work we study in details the influence of pure astronomical
refraction on solar metrologic measurements made from ground-based full disk
imagery and provide the tools for correcting the measurements and estimating
the associated uncertainties.For a given standard atmospheric model, we first
use both analytical and numerical methods in order to test the validity of the
commonly or historically used approximations of the differential effect of
refraction as a function of zenith distance. For a given refraction model, we
provide the exact formulae for correcting solar radius measurements at any
heliographic angle and for any zenith distance. Then, using solar images
recorded in the near infrared between 2011 and 2016, we show that these
corrections can be applied up to $70\deg$ using the usual approximate formulae
and can be extended up to $80\deg$ of zenith distance provided that a standard
atmospheric model and a full numerical integration of the refraction integral
are used. We also provide estimates of the absolute uncertainties associated
with the differential refraction corrections and show that approximate formulae
can be used up to $80\deg$ of zenith distance for computing these
uncertainties. For a given instrumental setup and the knowledge of the
uncertainties associated with local weather records, this can be used to fix
the maximum zenith distance one can observe depending on the required
astrometric accuracy.


title: A GCV based Arnoldi-Tikhonov regularization method

abstract:
  For the solution of linear discrete ill-posed problems, in this paper we
consider the Arnoldi-Tikhonov method coupled with the Generalized Cross
Validation for the computation of the regularization parameter at each
iteration. We study the convergence behavior of the Arnoldi method and its
properties for the approximation of the (generalized) singular values, under
the hypothesis that Picard condition is satisfied. Numerical experiments on
classical test problems and on image restoration are presented.


title:
Invasion-wave induced first-order phase transition in systems of active
  particles

abstract:
  An Enskog-like kinetic equation for self-propelled particles is solved
numerically. I study a density instability near the transition to collective
motion and find that while hydrodynamics breaks down, the kinetic approach
leads to soliton-like supersonic waves with steep leading kinks and Knudsen
numbers of order one. These waves show hysteresis, modify the transition
threshold and lead to an abrupt jump of the global order parameter if the noise
level is changed. Thus they provide a mechanism to change the second-order
character of the phase transition to first order.


title:
Fitting Bivariate Mixed-Type Data via the Generalized Linear Exponential
  Cluster-Weighted Model

abstract:
  The cluster-weighted model (CWM) is a mixture model with random covariates
which allows for flexible clustering and density estimation of a random vector
composed by a response variable and by a set of covariates. In this class of
models, the generalized linear exponential CWM is here introduced especially
for modeling bivariate data of mixed-type. Its natural counterpart, in the
family of latent class models, is also defined. Maximum likelihood parameter
estimates are derived using the EM algorithm and model selection is carried out
using the Bayesian information criterion (BIC). Artificial and real data are
finally considered to exemplify and appreciate the proposed model.


title: The Alive Particle Filter

abstract:
  In the following article we develop a particle filter for approximating
Feynman-Kac models with indicator potentials. Examples of such models include
approximate Bayesian computation (ABC) posteriors associated with hidden Markov
models (HMMs) or rare-event problems. Such models require the use of advanced
particle filter or Markov chain Monte Carlo (MCMC) algorithms e.g. Jasra et al.
(2012), to perform estimation. One of the drawbacks of existing particle
filters, is that they may 'collapse', in that the algorithm may terminate
early, due to the indicator potentials. In this article, using a special case
of the locally adaptive particle filter in Lee et al. (2013), which is closely
related to Le Gland & Oudjane (2004), we use an algorithm which can deal with
this latter problem, whilst introducing a random cost per-time step. This
algorithm is investigated from a theoretical perspective and several results
are given which help to validate the algorithms and to provide guidelines for
their implementation. In addition, we show how this algorithm can be used
within MCMC, using particle MCMC (Andrieu et al. 2010). Numerical examples are
presented for ABC approximations of HMMs.


title:
The coincidence of the homologies of integral currents and of integral
  singular chains, via cosheaves

abstract:
  We consider the notion of metric spaces being locally Lipschitz contractible
introduced by Yamaguchi, and a category of metric spaces satisfying this
condition. Many objects in metric geometry including CAT-spaces and Alexandrov
spaces, belong to this category. We consider the homology of integral currents
with compact support in a metric space, introduced by Ambrosio and Kirchheim,
and prove that it and the usual integral singular homology are isomorphic on
the category. The proof of it is based on the theory of cosheaves. A method to
compare the homologies associated to cosheaves is also proved in this paper.


title:
On Energy Efficiency and Delay Minimization in Reactive Protocols in
  Wireless Multi-hop Networks

abstract:
  In Wireless Multi-hop Networks (WMhNs), routing protocols with energy
efficient and delay reduction techniques are needed to fulfill users demands.
In this paper, we present Linear Programming models (LP_models) to assess and
enhance reactive routing protocols. To practically examine constraints of
respective LP_models over reactive protocols, we select AODV, DSR and DYMO. It
is deduced from analytical simulations of LP_models in MATLAB that quick route
repair reduces routing latency and optimizations of retransmission attempts
results efficient energy utilization. To provide quick repair, we enhance AODV
and DSR. To practically examine the efficiency of enhanced protocols in
different scenarios of WMhNs, we conduct simulations using NS- 2. From
simulation results, enhanced DSR and AODV achieve efficient output by
optimizing routing latencies and routing load in terms of retransmission
attempts.


title:
Towards LP Modeling for Maximizing Throughput and Minimizing Routing
  Delay in Proactive Protocols in Wireless Multi-hop Networks

abstract:
  Wireless Multi-hop Networks (WMhNs) provide users with the facility to
communicate while moving with whatever the node speed, the node density and the
number of traffic flows they want, without any unwanted delay and/or
disruption. This paper contributes Linear Programming models (LP_models) for
WMhNs. In WMhNs, different routing protocols are used to facilitate users
demand(s). To practically examine constraints of respective LP_models over
different routing techniques, we select three proactive routing protocols;
Destination Sequence Distance Vector (DSDV), Fish-eye State Routing (FSR) and
Optimized Link State Routing (OLSR). These protocols are simulated in two
important scenarios regarding to user demands; mobilities and different network
flows. To evaluate the performance, we further relate the protocols strategy
effects on respective constraints in selected network scenarios.


title: A mathematical model for measurement

abstract:
  We will give a new model for measurements of a quantum system such that the
measuring apparatuses are described by a unital separable non-type I nuclear
simple C$^*$-algebra equipped with certain unital endomorphisms and pure
states. An interaction between the quantum system and the apparatus is
specified by a unitary associated with the combined system as before.
Magnifying to the classical level some aspects of the quantum system so
captured in the apparatus is explicitly done by applying the endomorphism; then
the resulting state is the superposition of {\em phases} with weights. Nature
will then choose each phase according to the probability prescribed by the
weights just as does one when multiple phases appear as in phase transition.
Thus in our model state-reduction (or collapse of the wave function) is a
primary event; whether this corresponds to the measurement of an observable or
which one if it does is another matter.


title:
Development of a Device for Remote Monitoring of Heart Rate and Body
  Temperature

abstract:
  We present a new integrated, portable device to provide a convenient solution
for remote monitoring heart rate at the fingertip and body temperature using
Ethernet technology and widely spreading internet. Now a days, heart related
disease is rising. Most of the times in these cases, patients may not realize
their actual conditions and even it is a common fact that there are no doctors
by their side, especially in rural areas, but now a days most of the diseases
are curable if detected in time.
  We have tried to make a system which may give information about one's
physical condition and help him or her to detect these deadly but curable
diseases. The system gives information of heart rate and body temperature
simultaneously acquired on the portable side in real time and transmits results
to web. In this system, the condition of heart and body temperature can be
monitored from remote places. Eventually, this device provides a low cost,
easily accessible human health monitor solution bridging the gaps between
patients and doctors.


title: Operator inequalities of Jensen type

abstract:
  We present some generalized Jensen type operator inequalities involving
sequences of self-adjoint operators. Among other things, we prove that if
$f:[0,\infty) \to \mathbb{R}$ is a continuous convex function with $f(0)\leq
0$, then {equation*} \sum_{i=1}^{n} f(C_i) \leq
f(\sum_{i=1}^{n}C_i)-\delta_f\sum_{i=1}^{n}\widetilde{C}_i\leq
f(\sum_{i=1}^{n}C_i) {equation*} for all operators $C_i$ such that $0 \leq
C_i\leq M \leq \sum_{i=1}^{n} C_i $ \ $(i=1,...,n)$ for some scalar $M\geq0$,
where $ \widetilde{C_i} = 1/2 - |\frac{C_i}{M}- 1/2 |$ and $\delta_f =
f(0)+f(M) - 2 f(\frac{M}{2})$.


title:
Relativistic many-body calculation of energies, oscillator strengths,
  transition rates, lifetimes, polarizabilities, and quadrupole moment of
  Fr-like Th IV ion

abstract:
  Atomic properties of the 24 low-lying ns, np, nd, nf, and ng states in Th IV
ion are calculated using the high-precision relativistic all-order method where
all single, double, and partial triple excitations of the Dirac-Fock wave
functions are included to all orders of perturbation theory. Recommended values
are provided for a large number of electric-dipole matrix elements, oscillator
strengths, transition rates, and lifetimes. Scalar polarizabilities of the
ground and six excited states (5f_j, 6d_j, 7p_j, and 7s), and tensor
polarizabilities of the 5f_j, 6d_j, 7p_{3/2} states of Th IV are evaluated. The
uncertainties of the recommended values are estimated. These calculations
provide recommended values critically evaluated for their accuracy for a number
of Th IV atomic properties for use in theoretical modeling as well as planning
and analysis of various experiments including development of ultra precise
nuclear clock and RESIS studies of actinide ions


title: Operator Entropy Inequalities

abstract:
  In this paper we investigate a notion of relative operator entropy, which
develops the theory started by J.I. Fujii and E. Kamei [Math. Japonica 34
(1989), 341--348]. For two finite sequences $\mathbf{A}=(A_1,...,A_n)$ and
$\mathbf{B}=(B_1,...,B_n)$ of positive operators acting on a Hilbert space, a
real number $q$ and an operator monotone function $f$ we extend the concept of
entropy by $$
S_q^f(\mathbf{A}|\mathbf{B}):=\sum_{j=1}^nA_j^{1/2}(A_j^{-1/2}B_jA_j^{-1/2})^qf(A_j^{-1/2}B_jA_j^{-1/2})A_j^{1/2}\,,
$$ and then give upper and lower bounds for $S_q^f(\mathbf{A}|\mathbf{B})$ as
an extension of an inequality due to T. Furuta [Linear Algebra Appl. 381
(2004), 219--235] under certain conditions. Afterwards, some inequalities
concerning the classical Shannon entropy are drawn from it.


title: Parallel Computation Is ESS

abstract:
  There are enormous amount of examples of Computation in nature, exemplified
across multiple species in biology. One crucial aim for these computations
across all life forms their ability to learn and thereby increase the chance of
their survival. In the current paper a formal definition of autonomous learning
is proposed. From that definition we establish a Turing Machine model for
learning, where rule tables can be added or deleted, but can not be modified.
Sequential and parallel implementations of this model are discussed. It is
found that for general purpose learning based on this model, the
implementations capable of parallel execution would be evolutionarily stable.
This is proposed to be of the reasons why in Nature parallelism in computation
is found in abundance.


title:
Stochastic Properties of Dynamical Systems Arising from (quantum) Spaces
  and Actions of Groups

abstract:
  We review novel results and investigate actions and transformations of groups
and semigroups on (quantum) spaces, present dynamical systems and zeta
functions arising from these spaces, actions and transformations, discuss their
stochastic properties.


title: Projective Representations II. Generalized chain geometries

abstract:
  In this paper, projective representations of generalized chain geometries are
investigated, using the concepts and results of part I. In particular, we study
under which conditions such a projective representation maps the chains of a
generalized chain geometry $\Sigma(F,R)$ to reguli; this mainly depends on how
the field $F$ is embedded in the ring $R$. Moreover, we determine all bijective
morphisms of a certain class of generalized chain geometries with the help of
projective representations.


title: Opening Angles of Collapsar Jets

abstract:
  We investigate the jet propagation and breakout from the stellar progenitor
for gamma-ray burst (GRB) collapsars by performing two-dimensional relativistic
hydrodynamic simulations and analytical modeling. We find that the jet opening
angle is given by $\theta_j \sim 1/5 \Gamma_{0}$, and infer the initial Lorentz
factor of the jet at the central engine, $\Gamma_0$, is a few for existing
observations of $\theta_j$. The jet keeps the Lorentz factor low inside the
star by converging cylindrically via collimation shocks under the cocoon
pressure, and accelerates at jet breakout before the free expansion to a
hollow-cone structure. In this new picture the GRB duration is determined by
the sound crossing time of the cocoon, after which the opening angle widens,
reducing the apparent luminosity. Some bursts violating the maximum opening
angle $\theta_{j,\max}\sim 1/5 \sim 12^{\circ}$ imply the existence of a
baryon-rich sheath or a long-acting jet. We can explain the slopes in both
Amati and Yonetoku spectral relations using an off-centered photosphere model,
if we make only one assumption that the total jet luminosity is proportional to
the initial Lorentz factor of the jet. We also numerically calibrate the
pre-breakout model (Bromberg et al.) for later use.


title:
Radiative Generation of Non-zero $\theta_{13}$ in MSSM with broken $A_4$
  Flavor Symmetry

abstract:
  We study the renormalization group effects on neutrino masses and mixing in
Minimal Supersymmetric Standard Model (MSSM) by considering a $\mu-\tau$
symmetric mass matrix at high energy scale giving rise to Tri-Bi-Maximal (TBM)
type mixing. We outline a flavor symmetry model based on $A_4$ symmetry giving
rise to the desired neutrino mass matrix at high energy scale. We take the
three neutrino mass eigenvalues at high energy scale as input parameters and
compute the neutrino parameters at low energy by taking into account of
renormalization group effects. We observe that the correct output values of
neutrino parameters at low energy are obtained only when the input mass
eigenvalues are large $|m_{1,2,3}| = 0.08-0.12$ eV with a very mild hierarchy
of either inverted or normal type. A large inverted or normal hierarchical
pattern of neutrino masses is disfavored within our framework. We also find a
preference towards higher values of $\tan{\beta}$, the ratio of vacuum
expectation values (vev) of two Higgs doublets in MSSM in order to arrive at
the correct low energy output. Such a model predicting large neutrino mass
eigenvalues with very mild hierarchy and large $\tan{\beta}$ could have
tantalizing signatures at oscillation, neutrino-less double beta decay as well
as collider experiments.


title:
Eruption of a plasma blob, associated M-class flare, and large-scale EUV
  wave observed by SDO

abstract:
  We present a multiwavelength study of the formation and ejection of a plasma
blob and associated EUV waves in AR NOAA 11176, observed by SDO/AIA and STEREO
on 25 March 2011. SDO/AIA images clearly show the formation and ejection of a
plasma blob from the lower solar atmosphere at ~9 min prior to the onset of the
M1.0 flare. This onset of the M-class flare happened at the site of the blob
formation, while the blob was rising in a parabolic path with an average speed
of ~300 km/s. The blob also showed twisting and de-twisting motion in the lower
corona, and the blob speed varied from ~10-540 km/s. The faster and slower EUV
wavefronts were observed in front of the plasma blob during its impulsive
acceleration phase. The faster EUV wave propagated with a speed of ~785 to 1020
km/s, whereas the slower wavefront speed varied in between ~245 and 465 km/s.
The timing and speed of the faster wave match the shock speed estimated from
the drift rate of the associated type II radio burst. The faster wave
experiences a reflection by the nearby AR NOAA 11177. In addition, secondary
waves were observed (only in the 171 \AA channel), when the primary fast wave
and plasma blob impacted the funnel-shaped coronal loops. The HMI magnetograms
revealed the continuous emergence of new magnetic flux along with shear flows
at the site of the blob formation. It is inferred that the emergence of twisted
magnetic fields in the form of arch-filaments/"anemone-type" loops is the
likely cause for the plasma blob formation and associated eruption along with
the triggering of M-class flare. Furthermore, the faster EUV wave formed ahead
of the blob shows the signature of fast-mode MHD wave, whereas the slower wave
seems to be generated by the field line compression by the plasma blob. The
secondary wave trains originated from the funnel-shaped loops are probably the
fast magnetoacoustic waves.


title: Incidence coloring game and arboricity of graphs

abstract:
  An incidence of a graph $G$ is a pair $(v,e)$ where $v$ is a vertex of $G$
and $e$ an edge incident to $v$. Two incidences $(v,e)$ and $(w,f)$ are
adjacent whenever $v = w$, or $e = f$, or $vw = e$ or $f$. The incidence
coloring game [S.D. Andres, The incidence game chromatic number, Discrete Appl.
Math. 157 (2009), 1980-1987] is a variation of the ordinary coloring game where
the two players, Alice and Bob, alternately color the incidences of a graph,
using a given number of colors, in such a way that adjacent incidences get
distinct colors. If the whole graph is colored then Alice wins the game
otherwise Bob wins the game. The incidence game chromatic number $i_g(G)$ of a
graph $G$ is the minimum number of colors for which Alice has a winning
strategy when playing the incidence coloring game on $G$. Andres proved that
%$\lceil 3/2 \Delta(G)\rceil \le $i_g(G) \le 2\Delta(G) + 4k - 2$ for every
$k$-degenerate graph $G$. %The arboricity $a(G)$ of a graph $G$ is the minimum
number of forests into which its set of edges can be partitioned. %If $G$ is
$k$-degenerate, then $a(G) \le k \le 2a(G) - 1$. We show in this paper that
$i_g(G) \le \lfloor\frac{3\Delta(G) - a(G)}{2}\rfloor + 8a(G) - 2$ for every
graph $G$, where $a(G)$ stands for the arboricity of $G$, thus improving the
bound given by Andres since $a(G) \le k$ for every $k$-degenerate graph $G$.
Since there exists graphs with $i_g(G) \ge \lceil\frac{3\Delta(G)}{2}\rceil$,
the multiplicative constant of our bound is best possible.


title: The Connected Components of the Projective Line over a Ring

abstract:
  The main result of the present paper is that the projective line over a ring
$R$ is connected with respect to the relation "distant" if, and only if, $R$ is
a $GE_2$-ring.