title:
Distance characteristics of ergodic trajectories in two-dimensional
  non-integrable systems: Reduced phase space

abstract:
  A fundamental process for any given chaotic flow is the deterministic point
process (DPP) generated by any chaotic trajectory of the flow repeatedly
crossing a canonical surface-of-section (herein referred to as a sigma-type
DPP). This paper introduces the idea of using stochastic point process models
to describe and understand the spatial statistical features of sigma-type DPPs
in two-degree-of-freedom (2D) Hamiltonian systems. In the specific context of
2D non-integrable systems possessing ergodic components, it is proposed that,
in an ergodic region, the pertinent model for describing the spatial
statistical features of any typical sigma-type DPP is the two-dimensional
homogeneous Poisson point process (herein denoted by P2). Of particular
interest in this paper are the (Euclidean) kth-nearest-neighbor distance
characteristics (k=1,2,3,...) of a given sigma-type DPP. Employing the
two-dimensional cardioid and semi-circular mushroom billiards as generic test
cases, it is shown that typical sample sigma-type DPPs possess
kth-nearest-neighbor distance characteristics consistent with model predictions
for P2. Deviations from this observed Poissonian behavior are expected in
strictly non-ergodic regions (i.e., the chaotic regions in generic Hamiltonian
systems), but in cases where the dynamics is strongly (but not fully) chaotic,
such deviations are posited to be negligible. The validity of the latter claim
is demonstrated in the case of the 2D Henon-Heiles system at the critical
energy. The results of the numerical experiments are contextualized and their
significances to both classical and quantum chaos are discussed.


title:
Surface electronic structure of the topological Kondo insulator
  candidate correlated electron system SmB6

abstract:
  The Kondo insulator SmB6 has long been known to exhibit low temperature
transport anomalies whose origin is of great interest. Here we uniquely access
the surface electronic structure of the anomalous transport regime by combining
state-of-the-art laser- and synchrotron-based angle-resolved photoemission
techniques. We observe clear in-gap states (up to 4 meV), whose temperature
dependence is contingent upon the Kondo gap formation. In addition, our
observed in-gap Fermi surface oddness tied with the Kramers' points topology,
their coexistence with the two-dimensional transport anomaly in the Kondo
hybridization regime, as well as their robustness against thermal recycling,
taken together, collectively provide by-far the strongest evidence for
protected surface metallicity with a Fermi surface whose topology is consistent
with the theoretically predicted topological surface Fermi surface (TSS). Our
observations of systematic surface electronic structure provide the fundamental
electronic parameters for the anomalous Kondo ground state of the correlated
electron material SmB6.


title:
Charge and spin current in a quasi-one-dimensional quantum wire with
  spin-orbit coupling

abstract:
  We show that Rashba spin-orbit coupling may result in an energy gap in the
spectrum of electrons in a two-mode quantum wire if a suitable confining
potential is chosen. This leads to a dip in the conductance and a spike in the
spin current at the corresponding position of the Fermi level. Therefore one
may control the charge and spin currents by means of electrostatic gates
without using magnetic field or magnetic materials.


title:
Effects of thermal treatment on radiative properties of HVPE grown InP
  layers

abstract:
  Radiative efficiency of highly luminescent bulk InP wafers severely degrades
upon heat treatment involved in epitaxial growth of quaternary layers and
fabrication of photodiodes on the surface. This unfortunate property impedes
the use of bulk InP as scintillator material. On the other hand, it is known
that thin epitaxial InP layers, grown by molecular beam epitaxy (MBE) or
metal-organic chemical vapor deposition (MOCVD), do not exhibit any
degradation. These layers, however, are too thin to be useful in scintillators.
The capability of hydride vapor phase epitaxy (HVPE) process to grow thick
bulk-like layers in reasonable time is well known, but the radiative properties
of HVPE InP layers are not known. We have studied radiative properties of 21
micron thick InP layers grown by HVPE and found them comparable to those of
best luminescent bulk InP virgin wafers. In contrast to the bulk wafers, the
radiative efficiency of HVPE layers does not degrade upon heat treatment. This
opens up the possibility of implementing free-standing epitaxial InP
scintillator structures endowed with surface photodiodes for registration of
the scintillation.


title:
Spectral Models for Low-luminosity Active Galactic Nuclei in LINERs: The
  Role of Advection-dominated Accretion and Jets

abstract:
  We perform an exploratory study of the physical properties of accretion flows
and jets in low-luminosity active galactic nuclei (LLAGNs) by modeling the
spectral energy distributions (SEDs) of 12 LLAGNs in low-ionization nuclear
emission-line regions (LINERs). These SEDs we constructed from high-resolution
radio, X-ray and optical/UV observations of the immediate vicinity of the black
hole. We adopt a coupled accretion-jet model comprising an inner
advection-dominated accretion flow (ADAF) and an outer standard thin disk. We
present best-fit models in which either the ADAF or the jet dominate the X-ray
emission. Six sources in our sample display an optical-UV excess with respect
to ADAF and jet models; this excess can be explained as emission from the
truncated disk with transition radii 30-225 Rs in four of them. In almost all
sources the optical emission can also be attributed to unresolved, old stellar
clusters with masses ~1E7-1E8 Msun. We find evidence for a correlation between
the accretion rate and jet power and an anti-correlation between the
radio-loudness and the accretion rate. We confirm previous findings that the
radio emission is severely underpredicted by ADAF models and explained by the
relativistic jet. We find evidence for a nonlinear relation between the X-ray
and bolometric luminosities and a slight IR excess in the average model SED
compared to that of quasars. We suggest that the hardness of the X-ray spectrum
can be used to identify the X-ray emission mechanism and discuss directions for
progress in understanding the origin of the X-rays.


title: Satisfiability and Evolution

abstract:
  We show that, if truth assignments on $n$ variables reproduce through
recombination so that satisfaction of a particular Boolean function confers a
small evolutionary advantage, then a polynomially large population over
polynomially many generations (polynomial in $n$ and the inverse of the initial
satisfaction probability) will end up almost certainly consisting exclusively
of satisfying truth assignments. We argue that this theorem sheds light on the
problem of novelty in Evolution.


title:
One-Loop Anomaly Mediated Scalar Masses and (g-2)_mu in Pure Gravity
  Mediation

abstract:
  We consider the effects of non-universalities among sfermion generations in
models of Pure Gravity Mediation (PGM). In PGM models and in many models with
strongly stabilized moduli, the gravitino mass may be O(100) TeV, whereas
gaugino masses, generated through anomalies at 1-loop, remain relatively light
O(1) TeV. In models with scalar mass universality, input scalar masses are
generally very heavy (m_0 \simeq m_{3/2}) resulting in a mass spectrum
resembling that in split supersymmetry. However, if one adopts a no-scale or
partial no-scale structure for the K\"ahler manifold, sfermion masses may
vanish at the tree level. It is usually assumed that the leading order anomaly
mediated contribution to scalar masses appears at 2-loops. However, there are
at least two possible sources for 1-loop scalar masses. These may arise if
Pauli-Villars fields are introduced as messengers of supersymmetry breaking. We
consider the consequences of a spectrum in which the scalar masses associated
with the third generation are heavy (order m_{3/2}) with 1-loop scalar masses
for the first two generations. A similar spectrum is expected to arise in GUT
models based on E_7/SO(10) where the first two generations of scalars act as
pseudo-Nambu-Goldstone bosons. Explicit breaking of this symmetry by the gauge
couplings then generates one-loop masses for the first two generations. In
particular, we show that it may be possible to reconcile the g_mu - 2
discrepancy with potentially observable scalars and gauginos at the LHC.


title:
A unique radioisotopic label as a new concept for safeguarding and
  tagging of long-term stored items and waste

abstract:
  The present paper discuss a novel method of tagging and labeling of waste
casks, copper canisters, spent fuel containers, mercury containers, waste pack-
ages and other items. In particular, it is related to the development of new
long-term security identification tags/labels that can be applied to articles
for carrying information about the content, inventory tracking, prevention of
falsifi- cation and theft etc. It is suggested to use a unique combination of
radioisotopes with different predictable length of life, as a label of the
items. The possibil- ity to realize a multidimensional bar code symbology is
proposed as an option for a new labeling method. The results of the first tests
and evaluations of this are shown and discussed in the paper. The invention is
suitable for use in items assigned to long-term (hundreds of years) storing or
for final repositories. Alternative field of use includes fresh nuclear fuel
handling and shipment of goods.


title:
Approximating the Stationary Probability of a Single State in a Markov
  chain

abstract:
  In this paper, we present a novel iterative Monte Carlo method for
approximating the stationary probability of a single state of a positive
recurrent Markov chain. We utilize the characterization that the stationary
probability of a state $i$ is inversely proportional to the expected return
time of a random walk beginning at $i$. Our method obtains an
$\epsilon$-multiplicative close estimate with probability greater than $1 -
\alpha$ using at most $\tilde{O}\left(t_{\text{mix}} \ln(1/\alpha) / \pi_i
\epsilon^2 \right)$ simulated random walk steps on the Markov chain across all
iterations, where $t_{\text{mix}}$ is the standard mixing time and $\pi_i$ is
the stationary probability. In addition, the estimate at each iteration is
guaranteed to be an upper bound with high probability, and is decreasing in
expectation with the iteration count, allowing us to monitor the progress of
the algorithm and design effective termination criteria. We propose a
termination criteria which guarantees a $\epsilon (1 + 4 \ln(2)
t_{\text{mix}})$ multiplicative error performance for states with stationary
probability larger than $\Delta$, while providing an additive error for states
with stationary probability less than $\Delta \in (0,1)$. The algorithm along
with this termination criteria uses at most
$\tilde{O}\left(\frac{\ln(1/\alpha)}{\epsilon^2}
\min\left(\frac{t_{\text{mix}}}{\pi_i}, \frac{1}{\epsilon
\Delta}\right)\right)$ simulated random walk steps, which is bounded by a
constant with respect to the Markov Chain. We provide a tight analysis of our
algorithm based on a locally weighted variant of the mixing time. Our results
naturally extend for countably infinite state space Markov chains via Lyapunov
function analysis.


title: On the strong partition dimension of graphs

abstract:
  We present a different way to obtain generators of metric spaces having the
property that the ``position'' of every element of the space is uniquely
determined by the distances from the elements of the generators. Specifically
we introduce a generator based on a partition of the metric space into sets of
elements. The sets of the partition will work as the new elements which will
uniquely determine the position of each single element of the space. A set $W$
of vertices of a connected graph $G$ strongly resolves two different vertices
$x,y\notin W$ if either $d_G(x,W)=d_G(x,y)+d_G(y,W)$ or
$d_G(y,W)=d_G(y,x)+d_G(x,W)$, where $d_G(x,W)=\min\left\{d(x,w)\;:\;w\in
W\right\}$. An ordered vertex partition $\Pi=\left\{U_1,U_2,...,U_k\right\}$ of
a graph $G$ is a strong resolving partition for $G$ if every two different
vertices of $G$ belonging to the same set of the partition are strongly
resolved by some set of $\Pi$. A strong resolving partition of minimum
cardinality is called a strong partition basis and its cardinality the strong
partition dimension. In this article we introduce the concepts of strong
resolving partition and strong partition dimension and we begin with the study
of its mathematical properties. We give some realizability results for this
parameter and we also obtain tight bounds and closed formulae for the strong
metric dimension of several graphs.


title:
Anomalous magneto-structural behavior of MnBi explained: a path towards
  an improved permanent magnet

abstract:
  Low-temperature MnBi (hexagonal NiAs phase) exhibits anomalies in the lattice
constants (a, c) and bulk elastic modulus (B) below 100 K, spin reorientation
and magnetic susceptibility maximum near 90 K, and, importantly for
high-temperature magnetic applications, an increasing coercivity (unique to
MnBi) above 180 K. We calculate the total energy and magneto-anisotropy energy
(MAE) versus (a, c) using DFT+U methods. We reproduce and explain all the above
anomalies. We predict that coercivity and MAE increase due to increasing a,
suggesting means to improve MnBi permanent magnets.


title: Unique continuation from infinity for linear waves

abstract:
  We prove various uniqueness results from null infinity, for linear waves on
asymptotically flat space-times. Assuming vanishing of the solution to infinite
order on suitable parts of future and past null infinities, we derive that the
solution must vanish in an open set in the interior. We find that the parts of
infinity where we must impose a vanishing condition depend strongly on the
background geometry. In particular, for backgrounds with positive mass (such as
Schwarzschild or Kerr), the required assumptions are much weaker than the ones
in the Minkowski space-time. The results are nearly optimal in many respects.
They can be considered analogues of uniqueness from infinity results for second
order elliptic operators. This work is partly motivated by questions in general
relativity.


title: On quantum potential dynamics

abstract:
  Non-relativistic de Broglie-Bohm theory describes particles moving under the
guidance of the wave function. In de Broglie's original formulation, the
particle dynamics is given by a first-order differential equation. In Bohm's
reformulation, it is given by Newton's law of motion with an extra potential
that depends on the wave function--the quantum potential--together with a
constraint on the possible velocities. It was recently argued, mainly by
numerical simulations, that relaxing this velocity constraint leads to a
physically untenable theory. We provide further evidence for this by showing
that for various wave functions the particles tend to escape the wave packet.
In particular, we show that for a central classical potential and bound energy
eigenstates the particle motion is often unbounded. This work seems
particularly relevant for ways of simulating wave function evolution based on
Bohm's formulation of the de Broglie-Bohm theory. Namely, the simulations may
become unstable due to deviations from the velocity constraint.


title:
A Hardy inequality and applications to reverse Holder inequalities for
  weights on $R$

abstract:
  We prove a sharp integral inequality valid for non-negative functions defined
on $[0,1]$, with given $L^1$ norm. This is in fact a generalization of the well
known integral Hardy inequality. We prove it as a consequence of the respective
weighted discrete analogue inequality which proof is presented in this paper.
As an application we find the exact best possible range of $p>q$ such that any
non-increasing $f$ which satisfies a reverse H\"{o}lder inequality with
exponent $q$ and constant $c$ upon the subintervals of $[0,1]$, should
additionally satisfy a reverse H\"{o}lder inequality with exponent $p$ and a
different in general constant $c'$. The result has been treated in \cite{1} but
here we give an alternative proof based on the above mentioned inequality.


title: Moment-Based Relaxation of the Optimal Power Flow Problem

abstract:
  The optimal power flow (OPF) problem minimizes power system operating cost
subject to both engineering and network constraints. With the potential to find
global solutions, significant research interest has focused on convex
relaxations of the non-convex AC OPF problem. This paper investigates
``moment-based'' relaxations of the OPF problem developed from the theory of
polynomial optimization problems. At the cost of increased computational
requirements, moment-based relaxations are generally tighter than the
semidefinite relaxation employed in previous research, thus resulting in global
solutions for a broader class of OPF problems. Exploration of the feasible
space for test systems illustrates the effectiveness of the moment-based
relaxation.


title: Enhancing resilience of interdependent networks by healing

abstract:
  Interdependent networks are characterized by two kinds of interactions: The
usual connectivity links within each network and the dependency links coupling
nodes of different networks. Due to the latter links such networks are known to
suffer from cascading failures and catastrophic breakdowns. When modeling these
phenomena, usually one assumes that a fraction of nodes gets damaged in one of
the networks, which is followed possibly by a cascade of failures. In real life
the initiating failures do not occur at once and effort is made replace the
ties eliminated due to the failing nodes. Here we study a dynamic extension of
the model of interdependent networks and introduce the possibility of link
formation with a probability w, called healing, to bridge non-functioning nodes
and enhance network resilience. A single random node is removed, which may
initiate an avalanche. After each removal step healing sets in resulting in a
new topology. Then a new node fails and the process continues until the giant
component disappears either in a catastrophic breakdown or in a smooth
transition. Simulation results are presented for square lattices as starting
networks under random attacks of constant intensity. We find that the shift in
the position of the breakdown has a power-law scaling as a function of the
healing probability with an exponent close to 1. Below a critical healing
probability, catastrophic cascades form and the average degree of surviving
nodes decreases monotonically, while above this value there are no macroscopic
cascades and the average degree has first an increasing character and decreases
only at the very late stage of the process. These findings facilitate to plan
intervention in case of crisis situation by describing the efficiency of
healing efforts needed to suppress cascading failures.


title:
Spin-transfer assisted thermally activated switching distributions in
  perpendicularly magnetized spin valve nanopillars

abstract:
  We present switching field distributions of spin-transfer assisted
magnetization reversal in perpendicularly magnetized Co/Ni multilayer
spin-valve nanopillars at room temperature. Switching field measurements of the
Co/Ni free layer of spin-valve nanopillars with a 50 nm x 300 nm ellipse cross
section were conducted as a function of current. The validity of a model that
assumes a spin-current dependent effective barrier for thermally activated
reversal is tested by measuring switching field distributions under applied
direct currents. We show that the switching field distributions deviate
significantly from the double exponential shape predicted by the effective
barrier model, beginning at applied currents as low as half of the zero field
critical current. Barrier heights extracted from switching field distributions
for currents below this threshold are a monotonic function of the current.
However, the thermally-induced switching model breaks down for currents
exceeding the critical threshold.


title:
Measurement of transverse-single-spin asymmetries for midrapidity and
  forward-rapidity production of hadrons in polarized p+p collisions at
  $\sqrt{s}=$200 and 62.4 GeV

abstract:
  Measurements of transverse-single-spin asymmetries ($A_{N}$) in $p$$+$$p$
collisions at $\sqrt{s}=$62.4 and 200 GeV with the PHENIX detector at RHIC are
presented. At midrapidity, $A_{N}$ is measured for neutral pion and eta mesons
reconstructed from diphoton decay, and at forward rapidities, neutral pions are
measured using both diphotons and electromagnetic clusters. The neutral-pion
measurement of $A_{N}$ at midrapidity is consistent with zero with
uncertainties a factor of 20 smaller than previous publications, which will
lead to improved constraints on the gluon Sivers function. At higher
rapidities, where the valence quark distributions are probed, the data exhibit
sizable asymmetries. In comparison with previous measurements in this kinematic
region, the new data extend the kinematic coverage in $\sqrt{s}$ and $p_T$, and
it is found that the asymmetries depend only weakly on $\sqrt{s}$. The origin
of the forward $A_{N}$ is presently not understood quantitatively. The extended
reach to higher $p_T$ probes the transition between transverse momentum
dependent effects at low $p_T$ and multi-parton dynamics at high $p_T$.


title: Dynamics of lysozyme and its hydration water under electric field

abstract:
  The effects of static electric field on the dynamics of lysozyme and its
hydration water have been investigated by means of incoherent quasi-elastic
neutron scattering (QENS). Measurements were performed on lysozyme samples,
hydrated respectively with heavy water (D2O) to capture the protein dynamics,
and with light water (H2O), to probe the dynamics of the hydration shell, in
the temperature range from 210 $<$ T $<$ 260 K. The hydration fraction in both
cases was about $\sim$ 0.38 gram of water per gram of dry protein. The field
strengths investigated were respectively 0 kV/mm and 2 kV/mm (2 10$^6$ V/m) for
the protein hydrated with D2O and 0 kV and 1 kV/mm for the H2O hydrated
counterpart. While the overall internal protons dynamics of the protein appears
to be unaffected by the application of electric field up to 2 kV/mm, likely due
to the stronger intra-molecular interactions, there is also no appreciable
quantitative enhancement of the diffusive dynamics of the hydration water, as
would be anticipated based on our recent observations in water confined in
silica pores under field values of 2.5 kV/mm. This may be due to the difference
in surface interactions between water and the two adsorption hosts (silica and
protein), or to the existence of a critical threshold field value Ec $\sim$ 2-3
kV/mm for increased molecular diffusion, for which electrical breakdown is a
limitation for our sample.


title:
Optical amplification and pulse interleaving for low noise photonic
  microwave generation

abstract:
  We investigate the impact of pulse interleaving and optical amplification on
the spectral purity of microwave signals generated by photodetecting the pulsed
output of an Er:fiber-based optical frequency comb. It is shown that the
microwave phase noise floor can be extremely sensitive to delay length errors
in the interleaver, and the contribution of the quantum noise from optical
amplification to the phase noise can be reduced ~10 dB for short pulse
detection. We exploit optical amplification, in conjunction with high power
handling modified uni-traveling carrier photodetectors, to generate a phase
noise floor on a 10 GHz carrier of -175 dBc/Hz, the lowest ever demonstrated in
the photodetection of a mode-locked fiber laser. At all offset frequencies, the
photodetected 10 GHz phase noise performance is comparable to or better than
the lowest phase noise results yet demonstrated with stabilized Ti:sapphire
frequency combs.


title: Time-Reversal Invariant Parafermions in Interacting Rashba Nanowires

abstract:
  We propose a scheme to generate pairs of time-reversal invariant
parafermions. Our setup consists of two quantum wires with opposite Rashba spin
orbit interactions coupled to an $s$-wave superconductor, in the presence of
electron-electron interactions. The zero-energy bound states localized at the
wire ends arise from the interplay between two types of proximity induced
superconductivity: the usual intrawire superconductivity and the interwire
superconductivity due to crossed Andreev reflections. If the latter dominates,
which is the case for strong electron-electron interactions, the system
supports Kramers pair of parafermions. Moreover, the scheme can be extended to
a two-dimensional sea of time-reversal invariant parafermions.


title: W' signatures with odd Higgs particles

abstract:
  We point out that W' bosons may decay predominantly into Higgs particles
associated with their broken gauge symmetry. We demonstrate this in a
renormalizable model where the W' and W couplings to fermions differ only by an
overall normalization. This "meta-sequential" W' boson decays into a scalar
pair, with the charged one subsequently decaying into a W boson and a neutral
scalar. These scalars are odd under a parity of the Higgs sector, which
consists of a complex bidoublet and a doublet. The W' and Z' bosons have the
same mass and branching fractions into scalars, and may show up at the LHC in
final states involving one or two electroweak bosons and missing transverse
energy.


title: Reduction Redux of Adinkras

abstract:
  We show performing general "0-brane reduction" along an arbitrary fixed
direction in spacetime and applied to the starting point of minimal, off-shell
4D, $\cal N$ $=$ 1 irreducible supermultiplets, yields adinkras whose adjacency
matrices are among some of the special cases proposed by Kuznetsova, Rojas, and
Toppan. However, these more general reductions also can lead to `Garden
Algebra' structures beyond those described in their work. It is also shown that
for light-like directions, reduction to the 0-brane breaks the equality in the
number of fermions and bosons for dynamical theories. This implies that
light-like reductions should be done instead to the space of 1-branes or
equivalently to the worldsheet.


title:
Annihilation of colliding Bogoliubov quasiparticles reveals their
  Majorana nature

abstract:
  The single-particle excitations of a superconductor are coherent
superpositions of electrons and holes near the Fermi level, called Bogoliubov
quasiparticles. They are Majorana fermions, meaning that pairs of
quasiparticles can annihilate. We calculate the annihilation probability at a
beam splitter for chiral quantum Hall edge states, obtaining a 1 +/- cos phi
dependence on the phase difference phi of the superconductors from which the
excitations originated (with the +/- sign distinguishing singlet and triplet
pairing). This provides for a nonlocal measurement of the superconducting phase
in the absence of any supercurrent.


title:
Similarities and Distinctions in Cosmic-Ray Modulation during Different
  Phases of Solar and Magnetic Activity Cycles

abstract:
  We study the solar-activity and solar-polarity dependence of galactic
cosmic-ray intensity (CRI) on the solar and heliospheric parameters playing a
significant role in solar modulation. We utilize the data for cosmic-ray
intensity as measured by neutron monitors, solar activity as measured by
sunspot number (SSN), interplanetary plasma/field parameters, solar-wind
velocity [V] and magnetic field [B], as well as the tilt of the heliospheric
current sheet [{\Lambda}] and analyse these data for Solar Cycles 20 - 24 (1965
- 2011). We divide individual Solar Cycles into four phases, i.e. low, high,
increasing, and decreasing solar activity. We perform regression analysis to
calculate and compare the CRI-response to changes in different
solar/interplanetary parameters during (i) different phases of solar activity
and (ii) similar activity phases but different polarity states. We find that
the CRI-response is different during negative (A<0) as compared to positive
(A>0) polarity states not only with SSN and {\Lambda} but also with B and V.
The relative CRI-response to changes in various parameters, in negative (A<0)
as compared to positive (A>0) state, is solar-activity dependent; it is ~2 to 3
times higher in low solar activity, ~1.5 to 2 times higher in moderate
(increasing/decreasing) activity, and it is nearly equal in high solar-activity
conditions. Although our results can be ascribed to preferential entry of
charged particles via the equatorial/polar regions of the heliosphere as
predicted by drift models, these results also suggest that we should look for,
any polarity-dependent response of solar wind and transport parameters in
modulating CRI in the heliosphere.


title:
Fluctuations in the interplanetary electric potential and energy
  coupling between the solar-wind and the magnetosphere

abstract:
  We utilize solar rotation average geomagnetic index ap and various solar wind
plasma and field parameters for four solar cycles 20-23. We perform analysis to
search for a best possible coupling function at 27-day time resolution.
Regression analysis using these data at different phases of solar activity
(increasing including maximum/decreasing including minimum) led us to suggest
that the time variation of interplanetary electric potential is a better
coupling function for solar wind-magnetosphere coupling. We suspect that a
faster rate of change in interplanetary electric potential at the magnetopause
might enhance the reconnection rate and energy transfer from the solar wind
into the magnetosphere. The possible mechanism that involves the interplanetary
potential fluctuations in influencing the solar wind-magnetosphere coupling is
being investigated.


title: Optimal Trading Strategies as Measures of Market Disequilibrium

abstract:
  For classification of the high frequency trading quantities, waiting times,
price increments within and between sessions are referred to as the a-, b-, and
c-increments. Statistics of the a-b-c-increments are computed for the Time &
Sales records posted by the Chicago Mercantile Exchange Group for the futures
traded on Globex. The Weibull, Kumaraswamy, Riemann and Hurwitz Zeta,
parabolic, Zipf-Mandelbrot distributions are tested for the a- and
b-increments. A discrete version of the Fisher-Tippett distribution is
suggested for approximating the extreme b-increments. Kolmogorov and Uspenskii
classification of stochastic, typical, and chaotic random sequences is reviewed
with regard to the futures price limits. Non-parametric L1 and log-likelihood
tests are applied to check dependencies between the a- and b-increments. The
maximum profit strategies and optimal trading elements are suggested as
measures of frequency and magnitude of the market offers and disequilibrium.
Empirical cumulative distribution functions of optimal profits are reported. A
few classical papers are reviewed with more details in order to trace the
origin and foundation of modern finance.


title:
Analysis of geometric phase effects in the quantum-classical Liouville
  formalism

abstract:
  We analyze two approaches to the quantum-classical Liouville (QCL) formalism
that differ in the order of two operations: Wigner transformation and
projection onto adiabatic electronic states. The analysis is carried out on a
two-dimensional linear vibronic model where geometric phase (GP) effects
arising from a conical intersection profoundly affect nuclear dynamics. We find
that the Wigner-then-Adiabatic (WA) QCL approach captures GP effects, whereas
the Adiabatic-then-Wigner (AW) QCL approach does not. Moreover, the Wigner
transform in AW-QCL leads to an ill-defined Fourier transform of double-valued
functions. The double-valued character of these functions stems from the
nontrivial GP of adiabatic electronic states in the presence of a conical
intersection. In contrast, WA-QCL avoids this issue by starting with the Wigner
transform of single-valued quantities of the full problem. Since the WA-QCL
approach uses solely the adiabatic potentials and non-adiabatic derivative
couplings as an input, our results indicate that WA-QCL can capture GP effects
in general two-state crossing problems using first-principles electronic
structure calculations without prior diabatization or introduction of explicit
phase factors.


title: Les Houches Lectures on Physics Beyond the Standard Model of Cosmology

abstract:
  In these Lectures, I review various extensions of the Lambda-Cold Dark Matter
model, characterized by additional light degrees of freedom in the dark sector.
In order to reproduce the successful phenomenology of GR in the solar system,
these fields must effectively decouple from matter on solar system/laboratory
scales. This is achieved through screening mechanisms, which rely on the
interplay between self-interactions and coupling to matter to suppress
deviations from standard gravity. The manifestation of the new degrees of
freedom depends sensitively on their environment, which in turn leads to
striking experimental signatures.


title: The Amplituhedron

abstract:
  Perturbative scattering amplitudes in gauge theories have remarkable
simplicity and hidden infinite dimensional symmetries that are completely
obscured in the conventional formulation of field theory using Feynman
diagrams. This suggests the existence of a new understanding for scattering
amplitudes where locality and unitarity do not play a central role but are
derived consequences from a different starting point. In this note we provide
such an understanding for N=4 SYM scattering amplitudes in the planar limit,
which we identify as ``the volume" of a new mathematical object--the
Amplituhedron--generalizing the positive Grassmannian. Locality and unitarity
emerge hand-in-hand from positive geometry.


title:
Constraining the age of the NGC 4565 HI Disk Warp: Determining the
  Origin of Gas Warps

abstract:
  We have mapped the distribution of young and old stars in the gaseous HI warp
of NGC 4565. We find a clear correlation of young stars (<600 Myr) with the
warp, but no coincident old stars (>1 Gyr), which places an upper limit on the
age of the structure. The formation rate of the young stars, which increased
~300 Myr ago relative to the surrounding regions, is (6.3 +2.5/-1.5) x 10^-5
M_sol/yr/kpc^2. This implies a ~60+/-20 Gyr depletion time of the HI warp,
similar to the timescales calculated for the outer HI disks of nearby spiral
galaxies. While some stars associated with the warp fall into the asymptotic
giant branch (AGB) region of the color magnitude diagram, where stars could be
as old as 1 Gyr, further investigation suggests that they may be interlopers
rather than real AGB stars. We discuss the implications of these age
constraints for the formation of HI warps, and the gas fueling of disk
galaxies.


title: Spectra as Windows into Exoplanet Atmospheres

abstract:
  Understanding a planet's atmosphere is a necessary condition for
understanding not only the planet itself, but also its formation, structure,
evolution, and habitability, This puts a premium on obtaining spectra, and
developing credible interpretative tools with which to retrieve vital planetary
information. However, for exoplanets these twin goals are far from being
realized. In this paper, I provide a personal perspective on exoplanet theory
and remote sensing via photometry and low-resolution spectroscopy. Though not a
review in any sense, this paper highlights the limitations in our knowledge of
compositions, thermal profiles, and the effects of stellar irradiation,
focussing on, but not restricted to, transiting giant planets. I suggest that
the true function of the recent past of exoplanet atmospheric research has been
not to constrain planet properties for all time, but to train a new generation
of scientists that, by rapid trial and error, is fast establishing a solid
future foundation for a robust science of exoplanets.


title: Cascade of phase transitions in the vicinity of a quantum critical point

abstract:
  We study the timely issue of charge order checkerboard patterns observed in a
variety of cuprate superconductors. We suggest a minimal model in which strong
quantum fluctuations in the vicinity of a single antiferromagnetic quantum
critical point generate the complexity seen in the phase diagram of cuprates
superconductors and, in particular, the evidenced charge order. The Fermi
surface is found to fractionalize into hotspots and antinodal regions, where
physically different gaps are formed. In the phase diagram, this is reflected
by three transition temperatures for the formation of pseudogap, charge density
wave, and superconductivity (or quadrupole density wave if a sufficiently
strong magnetic field is applied). The charge density wave is characterized by
modulations along the bonds of the CuO lattice with wave vectors connecting
points of the Fermi surface in the antinodal regions. These features,
previously observed experimentally, are so far unique to the quantum critical
point in two spatial dimensions and shed a new light on the interplay between
strongly fluctuating critical modes and conduction electrons in
high-temperature superconductors.


title: Flavour models with Dirac and fake gluinos

abstract:
  In the context of supersymmetric models where the gauginos may have both
Majorana and Dirac masses we investigate the general constraints from
flavour-changing processes on the scalar mass matrices. One finds that the
chirality-flip suppression of flavour-changing effects usually invoked in the
pure Dirac case holds in the mass insertion approximation but not in the
general case, and fails in particular for inverted hierarchy models. We
quantify the constraints in several flavour models which correlate fermion and
scalar superpartner masses. We also discuss the limit of very large Majorana
gaugino masses compared to the chiral adjoint and Dirac masses, where the
remaining light eigenstate is the "fake" gaugino, including the consequences of
suppressed couplings to quarks beyond flavour constraints.


title: Scalable Spatial Super-Resolution using Entangled Photons

abstract:
  N00N states -- maximally path-entangled states of N photons -- exhibit
spatial interference patterns sharper than any classical interference pattern.
This is known as super-resolution. However, even with perfectly efficient
number-resolving detectors, the detection efficiency of all previously
demonstrated methods to measure such interference decreases exponentially with
the number of photons in the N00N state, often leading to the conclusion that
N00N states are unsuitable for spatial measurements. Here, we create spatial
super-resolution fringes with two-, three-, and four-photon N00N states, and
demonstrate a scalable implementation of the so-called ``optical centroid
measurement'' which provides an in-principle perfect detection efficiency.
Moreover, we compare the N00N-state interference to the corresponding classical
super-resolution interference. Although both provide the same increase in
spatial frequency, the visibility of the classical fringes decreases
exponentially with the number of detected photons, while the visibility of our
experimentally measured N00N-state super-resolution fringes remains
approximately constant with N. Our implementation of the optical centroid
measurement is a scalable method to measure high photon-number quantum
interference, an essential step forward for quantum-enhanced measurements,
overcoming what was believed to be a fundamental challenge to quantum
metrology.


title:
The MICE Grand Challenge Lightcone Simulation II: Halo and Galaxy
  catalogues

abstract:
  This is the second in a series of three papers in which we present an
end-to-end simulation from the MICE collaboration, the MICE Grand Challenge
(MICE-GC) run. The N-body contains about 70 billion dark-matter particles in a
$(3 \, h^{-1} \, {\rm Gpc})^3$ comoving volume spanning 5 orders of magnitude
in dynamical range. Here we introduce the halo and galaxy catalogues built upon
it, both in a wide ($5000 \,{\rm deg}^2$) and deep ($z<1.4$) light-cone and in
several comoving snapshots. Halos were resolved down to few $10^{11}
\,h^{-1}\,{\rm M_{\odot}}$. This allowed us to model galaxies down to absolute
magnitude M$_r<-18.9$. We used a new hybrid Halo Occupation Distribution and
Abundance Matching technique for galaxy assignment. The catalogue includes the
Spectral Energy Distributions of all galaxies. We describe a variety of halo
and galaxy clustering applications. We discuss how mass resolution effects can
bias the large scale $2$-pt clustering amplitude of poorly resolved halos at
the $\lesssim 5\%$ level, and their $3$-pt correlation function. We find a
characteristic scale dependent bias of $\lesssim 6\%$ across the BAO feature
for halos well above $M_{\star}\sim 10^{12}\,h^{-1}\,{\rm M_{\odot}}$ and for
LRG like galaxies. For halos well below $M_{\star}$ the scale dependence at
$100\,{\rm Mpc} h^{-1}$ is $\lesssim 2\%$. Lastly we discuss the validity of
the large-scale Kaiser limit across redshift and departures from it towards
nonlinear scales. We make the current version of the light-cone halo and galaxy
catalogue (MICECATv1.0) publicly available through a dedicated web portal,
http://cosmohub.pic.es, to help develop and exploit the new generation of
astronomical surveys.


title:
Renormalization Group Evolution of the Standard Model Dimension Six
  Operators III: Gauge Coupling Dependence and Phenomenology

abstract:
  We calculate the gauge terms of the one-loop anomalous dimension matrix for
the dimension-six operators of the Standard Model effective field theory (SM
EFT). Combining these results with our previous results for the $\lambda$ and
Yukawa coupling terms completes the calculation of the one-loop anomalous
dimension matrix for the dimension-six operators. There are 1350 $CP$-even and
$1149$ $CP$-odd parameters in the dimension-six Lagrangian for 3 generations,
and our results give the entire $2499 \times 2499$ anomalous dimension matrix.
We discuss how the renormalization of the dimension-six operators, and the
additional renormalization of the dimension $d \le 4$ terms of the SM
Lagrangian due to dimension-six operators, lays the groundwork for future
precision studies of the SM EFT aimed at constraining the effects of new
physics through precision measurements at the electroweak scale. As some sample
applications, we discuss some aspects of the full RGE improved result for
essential processes such as $gg \to h$, $h \to \gamma \gamma$ and $h \to Z
\gamma$, for Higgs couplings to fermions, for the precision electroweak
parameters $S$ and $T$, and for the operators that modify important processes
in precision electroweak phenomenology, such as the three-body Higgs boson
decay $h \rightarrow Z \, \ell^+ \, \ell^-$ and triple gauge boson couplings.
We discuss how the renormalization group improved results can be used to study
the flavor problem in the SM EFT, and to test the minimal flavor violation
(MFV) hypothesis. We briefly discuss the renormalization effects on the dipole
coefficient $C_{e\gamma}$ which contributes to $\mu \to e \gamma$ and to the
muon and electron magnetic and electric dipole moments.


title:
Long-range spatial correlations and fluctuation statistics of lightning
  activity rates in Brazil

abstract:
  We report on a statistical analysis of the lightning activity rates in all
Brazilian cities. We find out that the average of lightning activity rates
exhibit a dependence on the latitude of the cities, displaying one peak around
the Tropic of Capricorn and another one just before the Equator. We verify that
the standard deviation of these rates is almost a constant function of the
latitude and that the distribution of the fluctuations surrounding the average
tendency is quite well described by a Gumbel distribution, which thus connects
these rates to extreme processes. We also investigate the behavior of the
lightning activity rates versus the longitude of the cities. For this case, the
average rates exhibit an approximate plateau for a wide range of longitude
values, the standard deviation is an approximate constant function of
longitude, and the fluctuations are described by a Laplace distribution. We
further characterize the spatial correlation of the lightning activity rates
between pairs of cities, where our results show that the spatial correlation
function decays very slowly with the distance between the cities and that for
intermediate distances the correlation exhibits an approximate logarithmic
decay. Finally, we propose to model this last behavior within the framework of
the Edwards-Wilkinson equation.


title: Geometric Phase Integrals and Irrationality Tests

abstract:
  Let $F(x)$ be an analytical, real valued function defined on a compact domain
$\mathcal {B}\subset\mathbb{R}$. We prove that the problem of establishing the
irrationality of $F(x)$ evaluated at $x_0\in \mathcal{B}$ can be stated with
respect to the convergence of the phase of a suitable integral $I(h)$, defined
on an open, bounded domain, for $h$ that goes to infinity. This is derived as a
consequence of a similar equivalence, that establishes the existence of
isolated solutions of systems equations of analytical functions on compact real
domains in $\mathbb{R}^p$, if and only if the phase of a suitable ``geometric''
complex phase integral $I(h)$ converges for $h\rightarrow \infty$. We finally
highlight how the method can be easily adapted to be relevant for the study of
the existence of rational or integer points on curves in bounded domains, and
we sketch some potential theoretical developments of the method.


title:
Dynamically protected cat-qubits: a new paradigm for universal quantum
  computation

abstract:
  We present a new hardware-efficient paradigm for universal quantum
computation which is based on encoding, protecting and manipulating quantum
information in a quantum harmonic oscillator. This proposal exploits
multi-photon driven dissipative processes to encode quantum information in
logical bases composed of Schr\"odinger cat states. More precisely, we consider
two schemes. In a first scheme, a two-photon driven dissipative process is used
to stabilize a logical qubit basis of two-component Schr\"odinger cat states.
While such a scheme ensures a protection of the logical qubit against the
photon dephasing errors, the prominent error channel of single-photon loss
induces bit-flip type errors that cannot be corrected. Therefore, we consider a
second scheme based on a four-photon driven dissipative process which leads to
the choice of four-component Schr\"odinger cat states as the logical qubit.
Such a logical qubit can be protected against single-photon loss by continuous
photon number parity measurements. Next, applying some specific Hamiltonians,
we provide a set of universal quantum gates on the encoded qubits of each of
the two schemes. In particular, we illustrate how these operations can be
rendered fault-tolerant with respect to various decoherence channels of
participating quantum systems. Finally, we also propose experimental schemes
based on quantum superconducting circuits and inspired by methods used in
Josephson parametric amplification, which should allow to achieve these driven
dissipative processes along with the Hamiltonians ensuring the universal
operations in an efficient manner.


title: RAM-Efficient External Memory Sorting

abstract:
  In recent years a large number of problems have been considered in external
memory models of computation, where the complexity measure is the number of
blocks of data that are moved between slow external memory and fast internal
memory (also called I/Os). In practice, however, internal memory time often
dominates the total running time once I/O-efficiency has been obtained. In this
paper we study algorithms for fundamental problems that are simultaneously
I/O-efficient and internal memory efficient in the RAM model of computation.


title: Generalised Eisenhart lift of the Toda chain

abstract:
  The Toda chain of nearest neighbour interacting particles on a line can be
described both in terms of geodesic motion on a manifold with one extra
dimension, the Eisenhart lift, or in terms of geodesic motion in a symmetric
space with several extra dimensions. We examine the relationship between these
two realisations and discover that the symmetric space is a generalised,
multi-particle Eisenhart lift of the original problem, that reduces to the
standard Eisenhart lift. Such generalised Eisenhart lift acts as an inverse
Kaluza-Klein reduction, promoting coupling constants to momenta in higher
dimension. In particular, isometries of the generalised lift metric correspond
to energy preserving transformations that mix coordinates and coupling
constants. A by-product of the analysis is that the lift of the Toda Lax pair
can be used to construct higher rank Killing tensors for both the standard and
generalised lift metrics.


title: Diffusion of finite-size particles in channels with random walls

abstract:
  Diffusion of chemicals or tracer molecules through complex systems containing
irregularly shaped channels is important in many applications. Most theoretical
studies based on the famed Fick-Jacobs equation focus on the idealised case of
infinitely small particles and reflecting boundaries. In this study we use
numerical simulations to consider the transport of finite-sized particles
through asymmetrical two-dimensional channels. Additionally, we examine
transient binding of the molecules to the channel walls by applying sticky
boundary conditions. With the application of diffusing pathogens in hydrogels
in mind, we consider an ensemble of particles diffusing in independent
channels, which are characterised by common structural parameters. We compare
our results for the long-time effective diffusion coefficient with a recent
theoretical formula obtained by Dagdug and Pineda [J. Chem. Phys., 2012, 137,
024107].


title: Living with the Wrong Sign

abstract:
  We describe a UV complete asymptotically fragile Lorentz-invariant theory
exhibiting superluminal signal propagation. Its low energy effective action
contains "wrong" sign higher dimensional operators. Nevertheless, the theory
gives rise to an S-matrix, which is defined at all energies. As expected for a
non-local theory, the corresponding scattering amplitudes are not exponentially
bounded on the physical sheet, but otherwise are healthy. We study some of the
physical consequences of this S-matrix.


title: On tidal forces in f(R) theories of gravity

abstract:
  Despite the extraordinary attention that modified gravity theories have
attracted over the past decade, the geodesic deviation equation in this context
has not received proper formulation thus far. This equation provides an elegant
way to investigate the timelike, null and spacelike structure of spacetime
geometries. In this investigation we provide the full derivation of this
equation in situations where General Relativity has been extended in
Robertson-Walker background spacetimes. We find that for null geodesics the
contribution arising from the geometrical new terms is in general non-zero.
Finally we apply the results to a well known class of f(R) theories, compare
the results with General Relativity predictions and obtain the equivalent area
distance relation.


title:
Strong spintronic magnetoelectric effect in layered magnetic
  metamaterial

abstract:
  It is shown that external magnetic field or magnetization induces electric
polarization of microscopic isolated magnetic/non-magnetic hybrid structures
due to the spin-dependent electron redistribution and mutual capacity. The
magnetoelectric effect can be very strong, for instance the change of electric
polarization reaches $100$ $\mu C/m^{2}$ at a constant magnetic field of only
$1.5$ Tesla in the case of $100$ $\div$ $10$ nanometer structures which tightly
fill the space, composing a metamaterial. The effect does not require using
exotic compounds. Based on the obtained results we suggest a number of
recommendations for future experimental design.


title: Strong supermartingales and limits of nonnegative martingales

abstract:
  Given a sequence $(M^n)^{\infty}_{n=1}$ of nonnegative martingales starting
at $M^n_0=1$, we find a sequence of convex combinations
$(\widetilde{M}^n)^{\infty}_{n=1}$ and a limiting process $X$ such that
$(\widetilde{M}^n_{\tau})^{\infty}_{n=1}$ converges in probability to
$X_{\tau}$, for all finite stopping times $\tau$. The limiting process $X$ then
is an optional strong supermartingale. A counterexample reveals that the
convergence in probability cannot be replaced by almost sure convergence in
this statement. We also give similar convergence results for sequences of
optional strong supermartingales $(X^n)^{\infty}_{n=1}$, their left limits
$(X^n_-)^{\infty}_{n=1}$ and their stochastic integrals $(\int\varphi
\,dX^n)^{\infty}_{n=1}$ and explain the relation to the notion of the Fatou
limit.


title:
Using Dimers to Measure Biosignatures and Atmospheric Pressure for
  Terrestrial Exoplanets

abstract:
  We present a new method to probe atmospheric pressure on Earthlike planets
using (O2-O2) dimers in the near-infrared. We also show that dimer features
could be the most readily detectable biosignatures for Earthlike atmospheres,
and may even be detectable in transit transmission with the James Webb Space
Telescope (JWST). The absorption by dimers changes more rapidly with pressure
and density than that of monomers, and can therefore provide additional
information about atmospheric pressures. By comparing the absorption strengths
of rotational and vibrational features to the absorption strengths of dimer
features, we show that in some cases it may be possible to estimate the
pressure at the reflecting surface of a planet. This method is demonstrated by
using the O2 A band and the 1.06 $\mu$m dimer feature, either in transmission
or reflected spectra. It works best for planets around M dwarfs with
atmospheric pressures between 0.1 and 10 bars, and for O2 volume mixing ratios
above 50% of Earth's present day level. Furthermore, unlike observations of
Rayleigh scattering, this method can be used at wavelengths longer than 0.6
$\mu$m, and is therefore potentially applicable, although challenging, to
near-term planet characterization missions such as JWST. We have also performed
detectability studies for JWST transit transmission spectroscopy and find that
the 1.06 $\mu$m and 1.27 $\mu$m dimer features could be detectable (SNR$>$3)
for an Earth-analog orbiting an M5V star at a distance of 5 pc. The detection
of these features could provide a constraint on the atmospheric pressure of an
exoplanet, and serve as biosignatures for oxygenic photosynthesis. We have
calculated the required signal-to-noise ratios (SNRs) to detect and
characterize O2 monomer and dimer features in reflected spectra and find that
SNRs greater than 10 at a spectral resolving power of R=100 would be required.


title: Zeemanfit: Use and Development of the solis_vms_zeemanfit code

abstract:
  The purpose of the SOLIS Zeemanfit Code is to provide a straight-forward,
easily checked measure of the total magnetic-field strength in the
high-strength umbral regions of the solar disk. In the highest-strength
regions, the Zeeman splitting of the 6302-angstrom Fe line becomes wide enough
for the triplet nature of the line to be visible by eye in non-polarized light.
Therefore, a three-line fit to the spectra should, in principle, provide a
fairly robust measure of the total magnetic-field strength.
  The code uses the Level-1.5 spec-cube data of the SOLIS VSM 6302-vector
observations (specifically the Stokes-I and Stokes-V components) to fit the
line profiles at each appropriate pixel and calculate the
magnetic-field-strength from the line-center separation of the two fit 6302.5
sigma-components. The 6301.5-angstrom Fe line is also present and fit in the
VSM 6302-vector data, but it is an anomalous-Zeeman line with a weaker response
to magnetic fields. Therefore, no magnetic- field measure is derived from this
portion of the spectral fit.


title: Descent pattern avoidance

abstract:
  We extend the notion of consecutive pattern avoidance to considering sums
over all permutations where each term is a product of weights depending on each
consecutive pattern of a fixed length. We study the problem of finding the
asymptotics of these sums. Our technique is to extend the spectral method of
Ehrenborg, Kitaev and Perry. When the weight depends on the descent pattern we
show how to find the equation determining the spectrum. We give two length $4$
applications. First, we find the asymptotics of the number of permutations with
no triple ascents and no triple descents. Second, we give the asymptotics of
the number of permutations with no isolated ascents or descents. Our next
result is a weighted pattern of length $3$ where the associated operator only
has one non-zero eigenvalue. Using generating functions we show that the error
term in the asymptotic expression is the smallest possible.


title:
Convergence Conditions of Mixed States and their von Neumann Entropy in
  Continuous Quantum Measurements

abstract:
  By carrying out appropriate continuous quantum measurements with a family of
projection operators, a unitary channel can be approximated in an arbitrary
precision in the trace norm sense. In particular, the quantum Zeno effect is
described as an application. In the case of an infinite dimension, although the
von Neumann entropy is not necessarily continuous, the difference of the
entropies between the states, as mentioned above, can be arbitrarily made small
under some conditions.


title: The refraction of surface plasmon polaritons

abstract:
  We show how a complex Snell's law can be used to describe the refraction of
surface plasmon polaritons (SPPs) at an interface between two metals,
validating its predictions with 3-D electrodynamics simulations. Refraction
gives rise to peculiar SPP features including inhomogeneities in the waveform
and dispersion relations that depend on the incident wave and associated
material. These features make it possible to generate SPPs propagating away
from the interface with significant confinement normal to the propagation
direction. We also show that it is possible to encode optical properties of the
incident material into the refracted SPP. These consequences of metal-metal SPP
refraction provide new avenues for the design of plasmonics-based devices.


title: On Cell Association and Scheduling Policies in Femtocell Networks

abstract:
  Femtocells are recognized effective for improving network coverage and
capacity, and reducing power consumption due to the reduced range of wireless
transmissions. Although highly appealing, a plethora of challenging problems
need to be addressed for fully harvesting its potential. In this paper, we
investigate the problem of cell association and service scheduling in femtocell
networks. In addition to the general goal of offloading macro base station
(MBS) traffic, we also aim to minimize the latency of service requested by
users, while considering both open and closed access strategies. We show the
cell association problem is NP-hard, and propose several near-optimal solution
algorithms for assigning users to base stations (BS), including a sequential
fixing algorithm, a rounding approximation algorithm, a greedy approximation
algorithm, and a randomized algorithm. For the service scheduling problem, we
develop an optimal algorithm to minimize the average waiting time for the users
associated with the same BS. The proposed algorithms are analyzed with respect
to performance bounds, approximation ratios, and optimality, and are evaluated
with simulations.


title:
Subaru Adaptive-optics High-spatial-resolution Infrared K- and L'-band
  Imaging Search for Deeply Buried Dual AGNs in Merging Galaxies

abstract:
  We present the results of infrared K- (2.2 micron) and L'-band (3.8 micron)
high-spatial-resolution (<0.2 arcsec) imaging observations of nearby gas- and
dust-rich infrared luminous merging galaxies, assisted by the adaptive optics
(AO) system on the Subaru 8.2-m telescope. We investigate the presence and
frequency of red K-L' compact sources, which are sensitive indicators of active
galactic nuclei (AGNs), including AGNs that are deeply buried in gas and dust.
We observed 29 merging systems and confirmed at least one AGN in all but one
system. However, luminous dual AGNs were detected in only four of the 29
systems (~14%), despite our method's being sensitive to buried AGNs. For
multiple nuclei sources, we compared the estimated AGN luminosities with
supermassive black hole (SMBH) masses inferred from large aperture K-band
stellar emission photometry in individual nuclei. We found that mass accretion
rates onto SMBHs are significantly different among multiple SMBHs, such that
larger-mass SMBHs generally show higher mass accretion rates when normalized to
SMBH mass. Our results suggest that non-synchronous mass accretion onto SMBHs
in gas- and dust-rich infrared luminous merging galaxies hampers the
observational detection of kiloparsec-scale multiple active SMBHs. This could
explain the significantly smaller detection fraction of kiloparsec-scale dual
AGNs when compared with the number expected from simple theoretical
predictions. Our results also indicate that mass accretion onto SMBHs is
dominated by local conditions, rather than by global galaxy properties,
reinforcing the importance of observations to our understanding of how multiple
SMBHs are activated and acquire mass in gas- and dust-rich merging galaxies.


title:
Kinetic equations for massive Dirac fermions in electromagnetic field
  with non-Abelian Berry phase

abstract:
  We derive a semi-classical effective action and the kinetic equation for
massive Dirac fermions in electromagnetic fields. The non-Abelian Berry phase
structure emerges from two helicity states of massive fermions with positive
energy. The classical spin emerges as a vector in SU(2) helicity space. The
continuity equations for the fermion number and the classical spin are derived.
The fermion number is conserved while the spin charge is not conserved by
anomaly. Previous results about the coefficients of the chiral magnetic effect
for the fermion and axial currents in the chiral limit can be reproduced after
including the anti-fermion contributions. This provides an example for the
emerging spin and non-Abelian Berry phase of Dirac fermions arising from the
fermion mass.

categories: hep-th cond-mat.quant-gas hep-ph nucl-th


title: A complete model for $D^+ \to K^-\pi^+\pi+$ S-wave

abstract:
  The $D^+ \to K^-\pi^+\pi+$ decay have been observed in LHCb collaboration
with thousands of events per second from $K\pi$ threshold. The theoretical
treatment of this decay includes a rich dynamic behaviour that mix weak and
strong interactions in a non trivial way. In the present work we show recently
progress on $D^+ \to K^-\pi^+\pi+$ decay within a effective hadronic formalism.
The weak sector followed a similar formalism from heavy meson ChPT, where quark
c is an external object of SU(3) Goldstone bosons sector and final states
interactions description is based in three-body model. The results concerning
the vector weak transition revealed a very interesting new scenario in s-wave
phase-shift: agrees well with data in the elastic region, and it starts from
$-60$ degrees. Up to now the reason way the experimental phase starts at
negative degrees($\approx - 138$) was a mystery. However, we show that this
behaviour is a consequence of interference between a correct weak vertex
dynamic, dominated by $\rho$ meson propagator, and a rescattering model to the
final state interaction. Therefore, this work represent a progress in the
understanding of $D^+ \to K^-\pi^+\pi+$ and could be applied to other decays.


title: An all electron topological insulator in InAs double wells

abstract:
  We show that electrons in ordinary III-V semiconductor double wells with an
in-plane modulating periodic potential and inter well spin-orbit interaction
are tunable Topological Insulators (TIs). Here the essential TI ingredients,
namely, band inversion and the opening of an overall bulk gap in the spectrum
arise, respectively, from (i) the combined effect of the double well even-odd
state splitting $\Delta_{SAS}$ together with the superlattice potential and
(ii) the interband Rashba spin-orbit coupling $\eta$. We corroborate our exact
diagonalization results by an analytical nearly-free electron description that
allows us to derive an effective Bernevig-Hughes-Zhang (BHZ) model.
Interestingly, the gate-tunable $\Delta_{SAS}$ drives a topological phase
transition featuring a discontinuous Chern number at $\Delta_{SAS}\sim 5.4$
meV. Finally, we explicitly verify the bulk-edge correspondence by considering
a strip configuration and determining not only the bulk bands in the
non-topological and topological phases but also the edge states and their
Dirac-like spectrum in the topological phase. The edge electronic densities
exhibit peculiar spatial oscillations as they decay away into the bulk. For
concreteness, we present our results for InAs-based wells with realistic
parameters.


title:
Foreground contamination in Ly-alpha intensity mapping during the epoch
  of reionization

abstract:
  The intensity mapping of Ly-alpha emission during the epoch of reionization
(EoR) will be contaminated by foreground emission lines from lower redshifts.
We calculate the mean intensity and power spectrum of Ly-alpha emission at z~7,
and estimate the uncertainties according to the relevant astrophysical
processes. We find that the low-redshift emission lines from 6563 A H-alpha,
5007 A [OIII] and 3727 A [OII] will be the strong contaminants on the observed
Ly-alpha power spectrum. We make use of both the star formation rate (SFR) and
luminosity functions (LF) to estimate the mean intensity and power spectra of
the three foreground lines at z~0.5 for H-alpha, z~0.9 for [OIII] and z~1.6 for
[OII], as they will contaminate the Ly-alpha emission at z~7. The [OII] line is
found to be the strongest. We analyze the masking of the bright survey pixels
with a foreground line above some line intensity threshold as a way to reduce
the contamination in the intensity mapping survey. We find that the foreground
contamination can be neglected if we remove the pixels with fluxes above
1.4x10^-20 W/m^2.


title: The topology of restricted partition posets

abstract:
  For each composition $\vec{c}$ we show that the order complex of the poset of
pointed set partitions $\Pi^{\bullet}_{\vec{c}}$ is a wedge of spheres of the
same dimension with the multiplicity given by the number of permutations with
descent composition $\vec{c}$. Furthermore, the action of the symmetric group
on the top homology is isomorphic to the Specht module $S^{B}$ where $B$ is a
border strip associated to the composition. We also study the filter of pointed
set partitions generated by a knapsack integer partition and show the analogous
results on homotopy type and action on the top homology.


title: Shot Noise with Random Parameters

abstract:
  We give the description of the following model:
  $$ U_{n}=X_{n}(Y_{n}+U_{n-1})$$ for $n>1$ in the case where the $X_{n}$ are
i.d.d. random variables with probability density: $$ A x^{A-1} , x \in [0,1]
,$$
  $A$ is also a random variable distributed according to a Gamma law.
  The $ Y_{n}$ are or deterministic and equal to $1$ or independent Gamma
random variables.
  We use this model to compute the shot noise with random parameters.
  Keywords: Random difference equations, Shot noise, Volterra functions,
differential-difference equations, Monte-carlo simulation.


title: Dynamic discrete model for the granular matter formation process

abstract:
  In this paper we introduce 1-$D$ and 2-$D$ discrete models for the dynamic
granular matter formation process in the form of a system of difference
equations. This approach allows us to differentiate between the influx of the
rolling layer coming down from different directions to the corner points of the
standing layer. Such points are difficult to adequately describe by means of
pde's and their straightforward numerical approximations, typically
``ignoring'' the system's behavior on the sets of zero measure. However, these
points are critical for understanding the dynamic formation process when the
standing layer is created by the moving front of the rolling matter or when the
latter is filling a cavity and/or stops rolling. The existence of distributed
(infinite dimensional) limit solutions to our discrete models as the size of
mesh tends to zero is also discussed. We illustrate our findings by numerical
examples which use our model as a direct algorithm.


title: Active Classification for POMDPs: a Kalman-like State Estimator

abstract:
  The problem of state tracking with active observation control is considered
for a system modeled by a discrete-time, finite-state Markov chain observed
through conditionally Gaussian measurement vectors. The measurement model
statistics are shaped by the underlying state and an exogenous control input,
which influence the observations' quality. Exploiting an innovations approach,
an approximate minimum mean-squared error (MMSE) filter is derived to estimate
the Markov chain system state. To optimize the control strategy, the associated
mean-squared error is used as an optimization criterion in a partially
observable Markov decision process formulation. A stochastic dynamic
programming algorithm is proposed to solve for the optimal solution. To enhance
the quality of system state estimates, approximate MMSE smoothing estimators
are also derived. Finally, the performance of the proposed framework is
illustrated on the problem of physical activity detection in wireless body
sensing networks. The power of the proposed framework lies within its ability
to accommodate a broad spectrum of active classification applications including
sensor management for object classification and tracking, estimation of sparse
signals and radar scheduling.


title: Extended fermionic $p$-adic integrals on $\mathbb{Z}_p$

abstract:
  In the paper, using the extended fermionic $p$-adic integral on
$\mathbb{Z}_p$, the authors find some applications of the umbral calculus. From
these applications, the authors derive some identities on the weighted Euler
numbers and polynomials. In other words, the authors investigate systematically
the class of Sheffer sequences in connection with the generating function of
the weighted Euler polynomials.


title:
Probabilistic models of genetic variation in structured populations
  applied to global human studies

abstract:
  Modern population genetics studies typically involve genome-wide genotyping
of individuals from a diverse network of ancestries. An important, unsolved
problem is how to formulate and estimate probabilistic models of observed
genotypes that allow for complex population structure. We formulate two general
probabilistic models, and we propose computationally efficient algorithms to
estimate them. First, we show how principal component analysis (PCA) can be
utilized to estimate a general model that includes the well-known
Pritchard-Stephens-Donnelly mixed-membership model as a special case. Noting
some drawbacks of this approach, we introduce a new "logistic factor analysis"
(LFA) framework that seeks to directly model the logit transformation of
probabilities underlying observed genotypes in terms of latent variables that
capture population structure. We demonstrate these advances on data from the
human genome diversity panel and 1000 genomes project, where we are able to
identify SNPs that are highly differentiated with respect to structure while
making minimal modeling assumptions.

categories: q-bio.PE q-bio.GN q-bio.QM stat.AP stat.ME


title: Hyperferroelectrics: proper ferroelectrics with persistent polarization

abstract:
  All known proper ferroelectrics are unable to polarize normal to a surface or
interface if the resulting depolarization field is unscreened, but there is no
fundamental principle that enforces this behavior. In this work, we introduce
hyperferroelectrics, a new class of proper ferroelectrics which polarize even
when the depolarization field is unscreened, this condition being equivalent to
instability of a longitudinal optic mode in addition to the
transverse-optic-mode instability characteristic of proper ferroelectrics. We
use first principles calculations to show that several recently discovered
hexagonal ferroelectric semiconductors have this property, and we examine its
consequences both in the bulk and in a superlattice geometry.


title: Period-doubling cascades of a Silnikov equation

abstract:
  Based on numerical results of a Silnikov equation, three period-doubling
cascades, corresponding respectively to three different characters of the
rotation number of a limit closed orbit, are studied, and the Feigenbaum
constant is used successfully in the estimation of the critical parameter
values for the period-doubling bifurcation. The conceptions of separaror and
pseudo-attractor are also introduced in the discussion part of this paper.


title:
Gelfand-Kirillov Dimensions of Modules over Differential Difference
  Algebras

abstract:
  Differential difference algebras are generalizations of polynomial algebras,
quantum planes, and Ore extensions of automorphism type and of derivation type.
In this paper, we investigate the Gelfand-Kirillov dimension of a finitely
generated module over a differential difference algebra through a computational
method: Gr\"obner-Shirshov basis method. We develop the Gr\"obner-Shirshov
basis theory of differential difference algebras, and of finitely generated
modules over differential difference algebras, respectively. Then, via
Gr\"obner-Shirshov bases, we give algorithms for computing the Gelfand-Kirillov
dimensions of cyclic modules and finitely generated modules over differential
difference algebras.


title: Joint Spatial Division and Multiplexing for mm-Wave Channels

abstract:
  Massive MIMO systems are well-suited for mm-Wave communications, as large
arrays can be built with reasonable form factors, and the high array gains
enable reasonable coverage even for outdoor communications. One of the main
obstacles for using such systems in frequency-division duplex mode, namely the
high overhead for the feedback of channel state information (CSI) to the
transmitter, can be mitigated by the recently proposed JSDM (Joint Spatial
Division and Multiplexing) algorithm. In this paper we analyze the performance
of this algorithm in some realistic propagation channels that take into account
the partial overlap of the angular spectra from different users, as well as the
sparsity of mm-Wave channels. We formulate the problem of user grouping for two
different objectives, namely maximizing spatial multiplexing, and maximizing
total received power, in a graph-theoretic framework. As the resulting problems
are numerically difficult, we proposed (sub optimum) greedy algorithms as
efficient solution methods. Numerical examples show that the different
algorithms may be superior in different settings.We furthermore develop a new,
"degenerate" version of JSDM that only requires average CSI at the transmitter,
and thus greatly reduces the computational burden. Evaluations in propagation
channels obtained from ray tracing results, as well as in measured outdoor
channels show that this low-complexity version performs surprisingly well in
mm-Wave channels.


title: Operator Fractional Brownian Motion and Martingale Differences

abstract:
  It is well known that martingale difference sequences are very useful in
applications and theory. On the other hand, the operator fractional Brownian
motion as an extension of the well-known fractional Brownian motion also plays
important role in both applications and theory. In this paper, we study the
relationship between them. We will construct an approximation sequence of
operator fractional Brownian motion based on a martingale difference sequence.


title: Diagnosis of Switching Systems using Hybrid Bond Graph

abstract:
  Hybrid Bond Graph (HBG) is a Bond Graph-based modelling approach which
provides an effective tool not only for dynamic modeling but also for fault
detection and isolation (FDI) of switching systems. Bond graph (BG) has been
proven useful for FDI for continuous systems. In addition, BG provides the
causal relations between systems variables which allow FDI algorithms to be
developed systematically from the graph. There are many methods that exploit
structural relations and functional redundancy in the system model to find
efficient solutions for the residual generation and residual evaluation steps
in FDI of switching systems. This paper describes two different techniques,
quantitative and qualitative, based on common modelling approach that employs
HBG. In quantitative approach, global analytical redundancy relationships
(GARRs) are derived from the HBG model with a specified causality assignment
procedure. GARRs describe the system behaviour at all of its operating modes.
In qualitative approach, functional redundancy can be captured by a Temporal
Causal Graph (TCG), a directed graph that may include temporal information


title: The False Premises and Promises of Bitcoin

abstract:
  Designed to compete with fiat currencies, bitcoin proposes it is a
crypto-currency alternative. Bitcoin makes a number of false claims, including:
solving the double-spending problem is a good thing; bitcoin can be a reserve
currency for banking; hoarding equals saving, and that we should believe
bitcoin can expand by deflation to become a global transactional currency
supply. Bitcoin's developers combine technical implementation proficiency with
ignorance of currency and banking fundamentals. This has resulted in a failed
attempt to change finance. A set of recommendations to change finance are
provided in the Afterword: Investment/venture banking for the masses; Venture
banking to bring back what investment banks once were; Open-outcry exchange for
all CDS contracts; Attempting to develop CDS type contracts on investments in
startup and existing enterprises; and Improving the connection between startup
tech/ideas, business organization and investment.


title:
Tabletop Nanometer Extreme Ultraviolet Imaging in an Extended Reflection
  Mode using Coherent Fresnel Ptychography

abstract:
  We demonstrate high resolution extreme ultraviolet (EUV) coherent diffractive
imaging in the most general reflection geometry by combining ptychography with
tilted plane correction. This method makes it possible to image extended
surfaces at any angle of incidence. Refocused light from a tabletop coherent
high harmonic light source at 29 nm illuminates a nanopatterned surface at 45
degree angle of incidence. The reconstructed image contains quantitative
amplitude and phase (in this case pattern height) information, comparing
favorably with both scanning electron microscope and atomic force microscopy
images. In the future, this approach will enable imaging of complex surfaces
and nanostructures with sub-10 nm-spatial resolution and fs-temporal
resolution, which will impact a broad range of nanoscience and nanotechnology
including for direct application in actinic inspection in support of EUV
lithography.


title: Consistency of spectral clustering in stochastic block models

abstract:
  We analyze the performance of spectral clustering for community extraction in
stochastic block models. We show that, under mild conditions, spectral
clustering applied to the adjacency matrix of the network can consistently
recover hidden communities even when the order of the maximum expected degree
is as small as $\log n$, with $n$ the number of nodes. This result applies to
some popular polynomial time spectral clustering algorithms and is further
extended to degree corrected stochastic block models using a spherical
$k$-median spectral clustering method. A key component of our analysis is a
combinatorial bound on the spectrum of binary random matrices, which is sharper
than the conventional matrix Bernstein inequality and may be of independent
interest.


title: Cyclically consecutive permutation avoidance

abstract:
  We give an explicit formula for the number of permutations avoiding
cyclically a consecutive pattern in terms of the spectrum of the associated
operator of the consecutive pattern. As an example, the number of cyclically
consecutive $123$-avoiding permutations in ${\mathfrak S}_{n}$ is given by $n!$
times the convergent series ${\displaystyle \sum_{k=-\infty}^{\infty}
\left(\frac{\sqrt{3}}{2\pi(k+1/3)}\right)^{n}}$ for $n \geq 2$.


title:
Power-Aware Hybrid Intrusion Detection System (PHIDS) using Cellular
  Automata in Wireless AdHoc Networks

abstract:
  Adhoc wireless network with their changing topology and distributed nature
are more prone to intruders. The network monitoring functionality should be in
operation as long as the network exists with nil constraints. The efficiency of
an Intrusion detection system in the case of an adhoc network is not only
determined by its dynamicity in monitoring but also in its flexibility in
utilizing the available power in each of its nodes. In this paper we propose a
hybrid intrusion detection system, based on a power level metric for potential
adhoc hosts, which is used to determine the duration for which a particular
node can support a network monitoring node. Power aware hybrid intrusion
detection system focuses on the available power level in each of the nodes and
determines the network monitors. Power awareness in the network results in
maintaining power for network monitoring, with monitors changing often, since
it is an iterative power optimal solution to identify nodes for distributed
agent based intrusion detection. The advantage that this approach entails is
the inherent flexibility it provides, by means of considering only fewer nodes
for reestablishing network monitors. The detection of intrusions in the network
is done with the help of Cellular Automat CA. The CAs classify a packet routed
through the network either as normal or an intrusion. The use of CAs enable in
the identification of already occurred intrusions as well as new intrusions.


title:
Tuning Structures and Electronic Spectra of Graphene Layers by Tilt
  Grain Boundaries

abstract:
  Despite the structures and properties of tilt grain boundaries of graphite
surface and graphene have been extensively studied, their effect on the
structures and electronic spectra of graphene layers has not been fully
addressed. Here we study effects of one-dimensional tilt grain boundaries on
structures and electronic spectra of graphene multilayers by scanning tunneling
microscopy and spectroscopy. A tilt grain boundary of a top graphene sheet in
graphene multilayers leads to a twist between consecutive layers and generates
superstructures (Moir\'e patterns) on one side of the boundary. Our results
demonstrate that the twisting changes the electronic spectra of Bernal graphene
bilayer and graphene trilayers dramatically. We also study quantum-confined
twisted graphene bilayer generated between two adjacent tilt grain boundaries
and find that the band structure of such a system is still valid even when the
number of superstructures is reduced to two in one direction. It implies that
the electronic structure of this system is driven by the physics of a single
Moir\'e spot.


title: KOI-2700b - A Planet Candidate With Dusty Effluents on a 22-Hour Orbit

abstract:
  Kepler planet candidate KOI-2700b (KIC 8639908b) with an orbital period of
21.84 hours exhibits a distinctly asymmetric transit profile, likely indicative
of the emission of dusty effluents, and reminiscent of KIC 1255b. The host star
has $T_{\rm eff}$ = 4435 K, M = 0.63 $M_\odot$, and R = 0.57 $R_\odot$,
comparable to the parameters ascribed to KIC 12557548. The transit egress can
be followed for ~25% of the orbital period, and, if interpreted as extinction
from a dusty comet-like tail, indicates a long lifetime for the dust grains of
more than a day. We present a semi-physical model for the dust tail
attenuation, and fit for the physical parameters contained in that expression.
The transit is not sufficiently deep to allow for a study of the
transit-to-transit variations, as is the case for KIC 1255b; however, it is
clear that the transit depth is slowly monotonically decreasing by a factor of
~2 over the duration of the Kepler mission. The existence of a second star
hosting a planet with a dusty comet-like tail would help to show that such
objects may be more common and less exotic than originally thought. According
to current models, only quite small planets with Mp < 0.03 $M_\oplus$ are
likely to release a detectable quantity of dust. Thus, any "normal-looking"
transit that is inferred to arise from a rocky planet of radius greater than
~1/2 $R_\oplus$ should not exhibit any hint of a dusty tail. Conversely, if one
detects an asymmetric transit, due to a dusty tail, then it will be very
difficult to detect the hard body of the planet within the transit because, by
necessity, the planet must be quite small (i.e., < 0.3 $R_\oplus$).


title: Partition function of N composite bosons

abstract:
  The partition function of composite bosons ("cobosons" for short) is
calculated in the canonical ensemble, with the Pauli exclusion principle
between their fermionic components included in an exact way through the finite
temperature many-body formalism for composite quantum particles we recently
developed. To physically understand the very compact result we obtain, we first
present a diagrammatic approach to the partition function of $N$ elementary
bosons. We then show how to extend this approach to cobosons with Pauli
blocking and interaction between their fermions. These diagrams provide deep
insights on the structure of a coboson condensate, paving the way toward the
determination of the critical parameters for their quantum condensation.


title: Recurrence properties and disjointness on the induced spaces

abstract:
  A topological dynamical system induces two natural systems, one is on the
hyperspace and the other one is on the probability space. The connection among
some dynamical properties on the original space and on the induced spaces are
investigated. Particularly, a minimal weakly mixing system which induces a
$P$-system on the probability space is constructed and some disjointness result
is obtained.


title:
Logarithmic Expansions and the Stability of Periodic Patterns of
  Localized Spots for Reaction-Diffusion Systems in $\R^2

abstract:
  The linear stability of steady-state periodic patterns of localized spots in
$\R^2$ for the two-component Gierer-Meinhardt (GM) and Schnakenburg
reaction-diffusion models is analyzed in the semi-strong interaction limit
corresponding to an asymptotically small diffusion coefficient $\eps^2$ of the
activator concentration. In the limit $\eps\to 0$, localized spots in the
activator are centered at the lattice points of a Bravais lattice with constant
area $|\Omega|$. To leading order in $\nu={-1/\log\eps}$, the linearization of
the steady-state periodic spot pattern has a zero eigenvalue when the inhibitor
diffusivity satisfies $D={D_0/\nu}$, for some $D_0$ independent of the lattice
and the Bloch wavevector $\kb$. From a combination of the method of matched
asymptotic expansions, Floquet-Bloch theory, and the rigorous study of certain
nonlocal eigenvalue problems, an explicit analytical formula for the continuous
band of spectrum that lies within an ${\mathcal O}(\nu)$ neighborhood of the
origin in the spectral plane is derived when $D={D_0/\nu} + D_1$, where
$D_1={\mathcal O}(1)$ is a de-tuning parameter. The periodic pattern is
linearly stable when $D_1$ is chosen small enough so that this continuous band
is in the stable left-half plane $\mbox{Re}(\lambda)<0$ for all $\kb$.
Moreover, for both the Schnakenburg and GM models, our analysis identifies a
model-dependent objective function, involving the regular part of the Bloch
Green's function, that must be maximized in order to determine the specific
periodic arrangement of localized spots that constitutes a linearly stable
steady-state pattern for the largest value of $D$. From a numerical
computation, it is shown within the class of oblique Bravais lattices that a
regular hexagonal lattice arrangement of spots is optimal for maximizing the
stability threshold in $D$.


title: Varieties of Complexes of Fixed Rank

abstract:
  We study varieties of complexes of projective modules with fixed ranks, and
relate these varieties to the varieties of their homologies. We show that for
an algebra of global dimension at most two, these two varieties are related by
a pair of morphisms which are smooth with irreducible fibres.


title:
Conformal scalar fields, isotropic singularities and conformal cyclic
  cosmologies

abstract:
  We analyse spacetimes with a conformal scalar field source, a cosmological
constant and a quartic self-interaction term for the scalar field. We also
consider additional matter contents in the form of Maxwell and Yang-Mills
fields or radiation fluids. Existence theorems for weakly asymptotically flat
spacetimes are given. We give a generalisation of Bekenstein's result [Ann.
Phys. 82, 535 (1974)] and use it to derive existence theorems for spacetimes
that contain an isotropic singularity. The results are combined to suggest a
mathematical setup for Penrose's CCC scenario using a conformal scalar field
cosmology.


title: Blind Identification via Lifting

abstract:
  Blind system identification is known to be an ill-posed problem and without
further assumptions, no unique solution is at hand. In this contribution, we
are concerned with the task of identifying an ARX model from only output
measurements. We phrase this as a constrained rank minimization problem and
present a relaxed convex formulation to approximate its solution. To make the
problem well posed we assume that the sought input lies in some known linear
subspace.


title:
Region and Location Based Indexing and Retrieval of MR-T2 Brain Tumor
  Images

abstract:
  In this paper, region based and location based retrieval systems have been
implemented for retrieval of MR-T2 axial 2-D brain images. This is done by
extracting and characterizing the tumor portion of 2-D brain slices by use of a
suitable threshold computed over the entire image. Indexing and retrieval is
then performed by computing texture features based on gray-tone
spatial-dependence matrix of segmented regions. A Hash structure is used to
index all images. A combined index is adopted to point to all similar images in
terms of the texture features. At query time, only those images that are in the
same hash bucket as those of the queried image are compared for similarity,
thus reducing the search space and time.


title:
A Novel Hierarchical Ant based QoS aware Intelligent Routing Scheme for
  MANETS

abstract:
  MANET is a collection of mobile devices with no centralized control and no
pre-existing infrastructures. Due to the nodal mobility, supporting QoS during
routing in this type of networks is a very challenging task. To tackle this
type of overhead many routing algorithms with clustering approach have been
proposed. Clustering is an effective method for resource management regarding
network performance, routing protocol design, QoS etc. Most of the flat network
architecture contains homogeneous capacity of nodes but in real time nodes are
with heterogeneous capacity and transmission power. Hierarchical routing
provides routing through this kind of heterogeneous nodes. Here, routes can be
recorded hierarchically, across clusters to increase routing flexibility.
Besides this, it increases scalability and robustness of routes. In this paper,
a novel ant based QoS aware routing is proposed on a three level hierarchical
cluster based topology in MANET which will be more scalable and efficient
compared to flat architecture and will give better throughput.


title: The Minimal Compression Rate for Similarity Identification

abstract:
  Traditionally, data compression deals with the problem of concisely
representing a data source, e.g. a sequence of letters, for the purpose of
eventual reproduction (either exact or approximate). In this work we are
interested in the case where the goal is to answer similarity queries about the
compressed sequence, i.e. to identify whether or not the original sequence is
similar to a given query sequence. We study the fundamental tradeoff between
the compression rate and the reliability of the queries performed on compressed
data. For i.i.d. sequences, we characterize the minimal compression rate that
allows query answers, that are reliable in the sense of having a vanishing
false-positive probability, when false negatives are not allowed. The result is
partially based on a previous work by Ahlswede et al., and the inherently
typical subset lemma plays a key role in the converse proof. We then
characterize the compression rate achievable by schemes that use lossy source
codes as a building block, and show that such schemes are, in general,
suboptimal. Finally, we tackle the problem of evaluating the minimal
compression rate, by converting the problem to a sequence of convex programs
that can be solved efficiently.


title: On countable cofinality of definable chains in Borel partial orders

abstract:
  We prove that in some cases definable chains of Borel partial orderings are
necessarily countably cofinal. This includes the following cases: analytic
chains, ROD chains in the Solovay model, and $\Sigma^1_2$ chains in the
assumption that $\omega_1^{L[x]}<\omega_1$ for all reals $x$.


title: Implementation of CRISP Methodology for ERP Systems

abstract:
  ERP systems contain huge amounts of data related to the actual execution of
business processes. These systems have a particular way of recording activities
which results in an unclear display of business processes in event logs.
Several works have been conducted on ERP systems, most of them focusing on the
development of new algorithms for the automatic discovery of business
processes. We focused on addressing issues like, how can organizations with ERP
systems apply process mining for analyzing their business processes in order to
improve them. The data handling aspect of ERP systems contrasts with those of
BPMS or workflow based systems, whose systematical storage of events
facilitates the application of process mining techniques. CRISP-DM has emerged
as the de facto standard for developing data mining and knowledge discovery
projects. Successful data mining requires three families of analytical
capabilities namely reporting, classification and forecasting. A data miner
uses more than one analytical method to get the best results. The objective of
this paper is to improve the usability and understandability of process mining
techniques, by implementing CRISP-DM methodology for their application in ERP
contexts, detailed in terms of specific implementation tools and step by step
coordination. Our study confirms that data discovery from ERP system improves
strategic and operational decision making.


title: Isospin Breaking Effects in $K_{\ell4}$ Decays

abstract:
  In the framework of chiral perturbation theory with photons and leptons, the
one-loop isospin breaking effects in $K_{\ell4}$ decays due to both the
photonic contribution and the quark and meson mass differences are computed. A
comparison with the isospin breaking corrections applied by recent high
statistics $K_{e4}$ experiments is performed. The calculation can be used to
correct the existing form factor measurements by isospin breaking effects that
have not yet been taken into account in the experimental analysis. Based on the
present work, possible forthcoming experiments on $K_{e4}$ decays could correct
the isospin breaking effects in a more consistent way.


title: Hyperexpansive weighted composition operators

abstract:
  In this note unbounded hyperexpansive weighted composition operators are
investigated. AS a consequence unbounded hyperexpansive multiplication and
composition operators are characterized.


title:
Leading chiral three-nucleon forces along isotope chains in the calcium
  region

abstract:
  Three-nucleon forces (3NFs), and in particular terms of the Fujita-Miyazawa
type, strongly influence the structure of neutron-rich exotic isotopes.
Ab-initio calculations have shown that chiral two- and three-nucleon
interactions correctly reproduce binding energy systematics and neutron
driplines of oxygen and nearby isotopes. Exploiting the novel self-consistent
Gorkov-Green's function approach, we present the first investigation of Ar, K,
Ca, Sc and Ti isotopic chains. Leading chiral 3N interactions are mandatory to
reproduce the trend of binding energies throughout these chains and to obtain a
good description of two-neutron separation energies. At the same time, nuclei
in this mass region are systematically overbound by about 40 MeV and the $N=20$
magic gap is significantly overestimated. We conclude that ab-initio many-body
calculations of mid-mass isotopic chains challenge modern theories of
elementary nuclear interactions.


title:
Applying the Apriori algorithm for investigating the relationships
  between demographic characteristics of Iranian top 100 enterprises and the
  strcture of their commercial website

abstract:
  This study was conducted with the main aim to investigate the relationships
between demographic characteristics of companies and the facilities required
for their commercial websites. The research samples are the top 100 Iranian
companies as ranked by the Iranian Industrial Management Institute; the method
applied is datamining, using Association Rules throught the Apriori algorithms.
To collect the data, an aithor-modified check list has been utilized, coverig
the three areas of faclities within commercial websites, i.e. fundamental,
information-providing, and service-delivering facilities. having extracted the
association rules between the mentioned two sets of variables, 68 rules with a
confidence rate of 90% and above were obtained, and based on their significance
were classified into two groups of must-have and should-have requirements; a
recommended package of facilities is hitherto offered to other companies which
intend to enter e-commerce through their commerical websites with regards to
each company's unique demographic characteristics.