title: Hyperspectral Data Unmixing Using GNMF Method and Sparseness Constraint

abstract:
  Hyperspectral images contain mixed pixels due to low spatial resolution of
hyperspectral sensors. Mixed pixels are pixels containing more than one
distinct material called endmembers. The presence percentages of endmembers in
mixed pixels are called abundance fractions. Spectral unmixing problem refers
to decomposing these pixels into a set of endmembers and abundance fractions.
Due to nonnegativity constraint on abundance fractions, nonnegative matrix
factorization methods (NMF) have been widely used for solving spectral unmixing
problem. In this paper we have used graph regularized (GNMF) method with
sparseness constraint to unmix hyperspectral data. This method applied on
simulated data using AVIRIS Indian Pines dataset and USGS library and results
are quantified based on AAD and SAD measures. Results in comparison with other
methods show that the proposed method can unmix data more effectively.


title:
Quantization of the Electromagnetic Field in Non-dispersive Polarizable
  Moving Media above the Cherenkov Threshold

abstract:
  We quantize the macroscopic electromagnetic field in a system of
non-dispersive polarizable bodies moving at constant velocities possibly
exceeding the Cherenkov threshold. It is shown that in general the quantized
system is unstable and neither has a ground state nor supports stationary
states. The quantized Hamiltonian is written in terms of quantum harmonic
oscillators associated with both positive and negative frequencies, such that
the oscillators associated with symmetric frequencies are coupled by an
interaction term that does not preserve the quantum occupation numbers.
Moreover, in the linear regime the amplitudes of the fields may grow without
limit provided the velocity of the moving bodies is enforced to be constant.
This requires the application of an external mechanical force that effectively
pumps the system.


title:
Learning theories reveal loss of pancreatic electrical connectivity in
  diabetes as an adaptive response

abstract:
  Cells of almost all solid tissues are connected with gap junctions which
permit the direct transfer of ions and small molecules, integral to regulating
coordinated function in the tissue. The pancreatic islets of Langerhans are
responsible for secreting the hormone insulin in response to glucose
stimulation. Gap junctions are the only electrical contacts between the
beta-cells in the tissue of these excitable islets. It is generally believed
that they are responsible for synchrony of the membrane voltage oscillations
among beta-cells, and thereby pulsatility of insulin secretion. Most attempts
to understand connectivity in islets are often interpreted, bottom-up, in terms
of measurements of gap junctional conductance. This does not, however explain
systematic changes, such as a diminished junctional conductance in type 2
diabetes. We attempt to address this deficit via the model presented here,
which is a learning theory of gap junctional adaptation derived with analogy to
neural systems. Here, gap junctions are modelled as bonds in a beta-cell
network, that are altered according to homeostatic rules of plasticity. Our
analysis reveals that it is nearly impossible to view gap junctions as
homogeneous across a tissue. A modified view that accommodates heterogeneity of
junction strengths in the islet can explain why, for example, a loss of gap
junction conductance in diabetes is necessary for an increase in plasma insulin
levels following hyperglycemia.


title: First-principles theory and calculation of flexoelectricity

abstract:
  We develop a general and unified first-principles theory of piezoelectric and
flexoelectric tensor, formulated in such a way that the tensor elements can be
computed directly in the context of density-functional calculations, including
electronic and lattice contributions. We introduce a practical supercell-based
methods for calculating the flexoelectric coefficients from first principles,
and demonstrate them by computing the coefficients for a variety of cubic
insulating materials, including C, Si, MgO, NaCl, CsCl, BaZrO3, BaTiO3, PbTiO3
and SrTiO3.


title: HARPS spectropolarimetry of Herbig Ae/Be stars

abstract:
  Our knowledge of the presence and the strength of magnetic fields in
intermediate-mass pre-main-sequence stars remains very poor. We present new
magnetic field measurements in six Herbig Ae/Be stars observed with HARPS in
spectropolarimetric mode. We downloaded from the European Southern Observatory
(ESO) archive the publically available HARPS spectra for six Herbig Ae/Be
stars. Wavelength shifts between right- and left-hand side circularly polarised
spectra were interpreted in terms of a longitudinal magnetic field <B_z>, using
the moment technique introduced by Mathys. The application of the moment
technique to the HARPS spectra allowed us in addition to study the presence of
the crossover effect and quadratic magnetic fields. Our search for longitudinal
magnetic fields resulted in first detections of weak magnetic fields in the
Herbig Ae/Be stars HD58647 and HD98922. Further, we confirm the previous
tentative detection of a weak magnetic field in HD104237 by Donati et al. and
confirm the previous detection of a magnetic field in the Herbig Ae star
HD190073. Surprisingly, the measured longitudinal magnetic field of HD190073,
<B_z>=91+-18G at a significance level of 5sigma is not in agreement with the
measurement results of Alecian et al. (2013), <B_z>=-10+-20G, who applied the
LSD method to exactly the same data. No crossover effect was detected for any
star in the sample. Only for HD98922 the crossover effect was found to be close
to 3sigma with a measured value of -4228+-1443 km/s G. A quadratic magnetic
field of the order of 10kG was detected in HD98922, and of ~3.5kG in HD104237.


title:
Development of a Li2MoO4 scintillating bolometer for low background
  physics

abstract:
  We present the performance of a 33 g Li2MoO4 crystal working as a
scintillating bolometer. The crystal was tested for more than 400 h in a
dilution refrigerator installed in the underground laboratory of Laboratori
Nazionali del Gran Sasso (Italy). This compound shows promising features in the
frame of neutron detection, dark matter search (solar axions) and neutrinoless
double-beta decay physics. Low temperature scintillating properties were
investigated by means of different alpha, beta/gamma and neutron sources, and
for the first time the Light Yield for different types of interacting particle
is estimated. The detector shows great ability of tagging fast neutron
interactions and high intrinsic radiopurity levels (< 90 \muBq/kg for 238-U and
< 110 \muBq/kg for 232-Th).


title: The sliding-sum method for short exponential sums

abstract:
  We introduce a method to estimate sums of oscillating functions on finite
abelian groups over intervals or (generalized) arithmetic progressions, when
the size of the interval is such that the completing techniques of Fourier
analysis are barely insufficient to obtain non-trivial results. In particular,
we prove various estimates for exponential sums over intervals in finite fields
and related sums just below the Polya-Vinogradov range, and derive applications
to equidistribution problems.


title: Spin-orbit evolution of Mercury revisited

abstract:
  While it is accepted that the eccentricity of Mercury (0.206) favours
entrapment into the 3:2 spin-orbit resonance, open is the question how and when
the capture took place. A recent work by Makarov (2012) has demonstrated that
trapping into this resonance is certain if the eccentricity is larger than 0.2,
provided that we use a realistic tidal model, the one which is based on the
Darwin-Kaula expansion of the tidal torque. The physics-based tidal model
changes dramatically the statistics of the possible final spin states. First,
we discover that after only one encounter with the spin-orbit 3:2 resonance
this resonance becomes the most probable end-state. Second, if a capture into
this (or any other) resonance takes place, the capture becomes final, several
crossings of the same state being forbidden by our model. Third, within our
model the trapping of Mercury happens much faster than previously believed: for
most histories, 10 - 20 Myr are sufficient. Fourth, even a weak laminar
friction between the solid mantle and a molten core would most likely result in
a capture in the 2:1 or even higher resonance. So the principal novelty of our
paper is that the 3:2 end-state is more ancient than the same end-state
obtained when the constant time lag model is employed. The swift capture
justifies our treatment of Mercury as a homogeneous, unstratified body whose
liquid core had not yet formed by the time of trapping. We also provide a
critical analysis of the hypothesis by Wieczorek et al. (2012) that the early
Mercury might had been retrograde, whereafter it synchronised its spin and then
accelerated it to the 3:2 resonance. Accurate processing of the available data
on cratering does not support that hypothesis, while the employment of a
realistic rheology invalidates a key element of the hypothesis, an intermediate
pseudosynchronous state needed to spin-up to the 3:2 resonance.


title:
Anamorphic transformation and its application to time-bandwidth
  compression

abstract:
  A general method for compressing the modulation time-bandwidth product of
analog signals is introduced and experimentally demonstrated. As one of its
applications, this physics-based signal grooming performs feature-selective
stretch, enabling a conventional digitizer to capture fast temporal features
that were beyond its bandwidth. At the same time, the total digital data size
is reduced. The compression is lossless and is achieved through a same-domain
transformation of the signal's complex field, performed in the analog domain
prior to digitization. Our method is inspired by operation of Fovea centralis
in the human eye and by anamorphic transformation in visual arts. The proposed
transform can also be performed in the digital domain as a digital data
compression algorithm to alleviate the storage and transmission bottlenecks
associated with "big data".


title: On Magnetostatics of Chiral Media

abstract:
  We consider magnetostatics of chiral media with a non-vanishing chiral
chemical potential $\mu_5\neq 0$. The chiral anomaly is known to have
macroscopic manifestations which go beyond the standard classical
electrodynamics and we introduce an effective action which accounts for the
effect of the anomaly. A new piece in the effective action takes the form of a
topological three-dimensional photon mass. The topological mass of the photon
turns to be imaginary and signals instability. A stable state corresponds to a
solution of the Beltrami equations. We demonstrate also that the interaction
between two current loops reduces to the linking number of the loops. As for
the chiral magnetic effect it seems to disappear in the far infrared.


title:
$N$-representability in non-collinear spin-polarized density functional
  theory

abstract:
  The $N$-representability problem for non-collinear spin-polarized densities
was left open in the pioneering work of von Barth and Hedin setting up the
Kohn-Sham density functional theory for magnetic compounds. In this letter, we
demonstrate that, contrarily to the non-polarized case, the sets of pure and
mixed state $N$-representable densities are different in general. We provide a
simple characterization of the latter by means of easily checkable necessary
and sufficient conditions on the components $\rho^{\alpha \beta} (\br)$ of the
spin-polarized density.


title: Do Se vacancies electron dope monolayer FeSe?

abstract:
  Following the discovery of the potentially very high temperature
superconductivity in monolayer FeSe we investigate the doping effect of Se
vacancies in these materials. We find that Se vacancies pull a vacancy centered
orbital below the Fermi energy that absorbs most of the doped electrons.
Furthermore we find that the disorder induced broadening causes an effective
hole doping. The surprising net result is that in terms of the band structure
Se vacancies behave like hole dopants rather than electron dopants. Our results
exclude Se vacancies as the origin of the large electron pockets measured by
angle resolved photoemission spectroscopy.


title:
Convergence of the shooting algorithm for singular optimal control
  problems

abstract:
  In this article we propose a shooting algorithm for optimal control problems
governed by systems that are affine in one part of the control variable.
Finitely many equality constraints on the initial and final state are
considered. We recall a second order sufficient condition for weak optimality,
and show that it guarantees the local quadratic convergence of the algorithm.
We show an example and solve it numerically.


title:
Stringent magnetic field limits from early universe dynamos cosmology
  with torsion

abstract:
  Earlier Bamba et al [JCAP (2012)] have obtained cosmological magnetic fields
in teleparallel torsion theories of gravity that are not compatible with
galactic dynamos. This result agrees with previous ones obtained by the author
which shows [Phys Lett B (2012)] that anti-dynamo generalised theorem to
torsion theories forbides such kind of dynamos to explain galactic magnetic
fields of the order of ${\mu}$G. More recently the author has suggested [IJAA
(2012)] that a sort of Biermann battery could be obtained in torsioned
cosmology. Nevertheless in this paper we show that this can be a particular
result, since the second author did not took into account mean field dynamo
equations in torsion field background. Actually it is shown that amplification
or not of the magnetic field depends upon handness sign of the torsion field
vector. It is shown that density fluctuations of spin-torsion density implies
also a possibility of amplification of the cosmic magnetic fields. From WMAP
data it is possible to estimate the spin-torsion fluctuation as $10^{-6}$ which
represents an order of magnitude lower than the matter density. By making use
of the gravitational couling of type $RF^{2}$ one obtains $10^{37}G$ for the
Planck era magnetic field, which is a much more stringent limit than the ones
obtained earlier. The magnetic field obtained today is $10^{-23}G$ is obtained
which is able to seed galactic dynamos.


title: On the beneficial role of noise in resistive switching

abstract:
  We study the effect of external noise on resistive switching. Experimental
results on a manganite sample are presented showing that there is an optimal
noise amplitude that maximizes the contrast between high and low resistive
states. By means of numerical simulations, we study the causes underlying the
observed behavior. We find that experimental results can be related to general
characteristics of the equations governing the system dynamics.


title: Tkachenko polarons in vortex lattices

abstract:
  We analyze the properties of impurities immersed in a vortex lattice formed
by ultracold bosons in the mean field quantum Hall regime. In addition to the
effects of a periodic lattice potential, the impurity is dressed by collective
modes with parabolic dispersion (Tkachenko modes). We derive the effective
polaron model, which contains a marginal impurity-phonon interaction. The
polaron spectral function exhibits a Lorentzian broadening for arbitrarily
small wave vectors even at zero temperature, in contrast with the result for
optical or acoustic phonons. The anomalous damping of Tkachenko polarons could
be detected experimentally using momentum-resolved spectroscopy.


title: Probabilistic models on contextuality scenarios

abstract:
  We introduce a framework to describe probabilistic models in Bell
experiments, and more generally in contextuality scenarios. Such a scenario is
a hypergraph whose vertices represent elementary events and hyperedges
correspond to measurements. A probabilistic model on such a scenario associates
to each event a probability, in such a way that events in a given measurement
have a total probability equal to one. We discuss the advantages of this
framework, like the unification of the notions of contexuality and nonlocality,
and give a short overview of results obtained elsewhere.


title:
Constraints on polarized parton distributions from open charm and W
  production data

abstract:
  We study the impact of new open charm muoproduction data from COMPASS and
preliminary W production data from STAR on NNPDFpol1.0, the first unbiased set
of polarized parton distributions recently delivered by the NNPDF Collaboration
and based on inclusive Deep-Inelastic Scattering data only. The information
contained in the new data sets is incorporated in our Monte Carlo parton
determination via Bayesian reweighting, a method based on statistical inference
which avoids the need for a global refitting. We explicitly show to which
extent COMPASS and STAR data can improve our knowledge of gluon and antiquark
polarized parton distributions respectively.


title: 4-Dimensional Geometry Lens: A Novel Volumetric Magnification Approach

abstract:
  We present a novel methodology that utilizes 4-Dimensional (4D) space
deformation to simulate a magnification lens on versatile volume datasets and
textured solid models. Compared with other magnification methods (e.g.,
geometric optics, mesh editing), 4D differential geometry theory and its
practices are much more flexible and powerful for preserving shape features
(i.e., minimizing angle distortion), and easier to adapt to versatile solid
models. The primary advantage of 4D space lies at the following fact: we can
now easily magnify the volume of regions of interest (ROIs) from the additional
dimension, while keeping the rest region unchanged. To achieve this primary
goal, we first embed a 3D volumetric input into 4D space and magnify ROIs in
the 4th dimension. Then we flatten the 4D shape back into 3D space to
accommodate other typical applications in the real 3D world. In order to
enforce distortion minimization, in both steps we devise the high dimensional
geometry techniques based on rigorous 4D geometry theory for 3D/4D mapping back
and forth to amend the distortion. Our system can preserve not only focus
region, but also context region and global shape. We demonstrate the
effectiveness, robustness, and efficacy of our framework with a variety of
models ranging from tetrahedral meshes to volume datasets.


title:
Multimode cavity-assisted quantum storage via continuous phase matching
  control

abstract:
  A scheme for spatial multimode quantum memory is developed such that
spatial-temporal structure of a weak signal pulse can be stored and recalled
via cavity-assisted off-resonant Raman interaction with a strong
angular-modulated control field in an extended $\Lambda$-type atomic ensemble.
It is shown that effective multimode storage is possible when the Raman
coherence spatial grating involves wave vectors with different longitudinal
components relative to the paraxial signal field. The possibilities of
implementing the scheme in the solid-state materials are discussed.


title: Breaking of PT-symmetry in bounded and unbounded scattering systems

abstract:
  PT-symmetric scattering systems with balanced gain and loss can undergo a
symmetry-breaking transition in which the eigenvalues of the non-unitary
scattering matrix change their phase shifts from real to complex values. We
relate the PT-symmetry breaking points of such an unbounded scattering system
to those of underlying bounded systems. In particular, we show how the
PT-thresholds in the scattering matrix of the unbounded system translate into
analogous transitions in the Robin boundary conditions of the corresponding
bounded systems. Based on this relation, we argue and then confirm that the
PT-transitions in the scattering matrix are, under very general conditions,
entirely insensitive to a variable coupling strength between the bounded region
and the unbounded asymptotic region, a result that can be tested experimentally
and visualized using the concept of Smith charts.


title:
On the Significance of Self-Justifying Axiom Systems from the
  Perspective of Analytic Tableaux

abstract:
  This article will be a continuation of our research into self-justifying
systems. It will introduce several new theorems and their applications. (One of
these results will transform our previous infinite-sized self-verifying
formalisms into tighter systems, with only a finite number of axioms.) It will
explain how self-justification is useful, even when the Incompleteness Theorem
limits its reach.


title: An effective electrostatic-confinement based fusion approach

abstract:
  The paper reports a new electrostatic-confinement based fusion approach,
where, a new non-equilibrium distribution function for an ion-beam, compressed
by an external electric force, has been derived. This distribution function
allows the system to possess appreciably low and insignificant thermal energy
irrespective of the energy per particle. The spread in the energy among the
particles is attributed to the collisions in presence of the external force,
whereas; for equilibrium, the spreading in energy is due to the absence of the
force. The reactivity for a deuterium-deuterium fusion, using the proposed
distribution function, has been computed. It is shown that the fusion time is
comparable to the energy confinement time, collision time and transit time of
the ion for beam energy greater than 160 keV. The estimated energy gain Q
(ratio of fusion power to the power consumed by the system) is around 10 for
beam energy 160 keV and ion density 1018 cm-3. The energy loss due to particle
scattering is estimated and is taken into consideration in the estimation of
energy gain. An outline of a possible device is proposed according to the model
and is not similar to conventionally used in IEC systems based on collisions of
the beam with a reflex beam or with background gas or plasma.


title: Kenneth Geddes Wilson, 1936-2013, An Appreciation

abstract:
  Kenneth G. Wilson made deep and insightful contributions to statistical
physics, particle physics, and related fields. He was also a helpful and
thoughtful human being.


title: Morphic Words and Nested Recurrence Relations

abstract:
  We explore a family of nested recurrence relations with arbitrary levels of
nesting, which have an interpretation in terms of fixed points of morphisms
over a countably infinite alphabet. Recurrences in this family are related to a
number of well-known sequences, including Hofstadter's G sequence and the
Conolly and Tanny sequences. For a recurrence a(n) in this family with only
finitely terms, we provide necessary and sufficient conditions for the limit
a(n)/n to exist.


title: Shrinking of toroidal decomposition spaces

abstract:
  Given a sequence of oriented links L^1,L^2,L^3,... each of which has a
distinguished, unknotted component, there is a decomposition of the 3-sphere
naturally associated to it, which is constructed as the components of the
intersection of an infinite sequence of nested solid tori. The Bing and
Whitehead continua are simple, well known examples. We give a necessary and
sufficient criterion to determine whether such a decomposition is shrinkable,
generalising previous work of F. Ancel and M. Starbird and others. This
criterion can effectively determine, in many cases, whether the quotient map
which identifies the elements of the decomposition to points can be
approximated by homeomorphisms.


title: Free Instrument for Movement Measure

abstract:
  This paper presents the validation of a computational tool that serves to
obtain continuous measurements of moving objects. The software uses techniques
of computer vision, pattern recognition and optical flow, to enable tracking of
objects in videos, generating data trajectory, velocity, acceleration and
angular movement. The program was applied to track a ball around a simple
pendulum. The methodology used to validate it, taking as a basis to compare the
values measured by the program, as well as the theoretical values expected
according to the model of a simple pendulum. The experiment is appropriate to
the method because it was built within the limits of the linear harmonic
oscillator and energy losses due to friction had been minimized, making it the
most ideal possible. The results indicate that the tool is sensitive and
accurate. Deviations of less than a millimeter to the extent of the trajectory,
ensures the applicability of the software on physics, whether in research or in
teaching topics.


title:
Quantum nonlocality as the route for ever-lasting unconditionally secure
  bit commitment

abstract:
  We present a bit commitment protocol based on quantum nonlocality that seems
to bring ever-lasting unconditional security. Although security is not
rigorously proved, physical arguments and numerical simulations support this
conclusion. The key point is that the proof of the commitment is forced to
become classical data uncorrelated with anything else. This allows us to
circumvent previous impossibility proofs in which it is assumed that classical
data can be replaced by quantum data that may be entangled with the committer.
The proposed protocol also recovers two features missing in recent
"relativistic" quantum bit commitment protocols: (i) the committer can decide
if and when she wants to reveal the commitment and (ii) the security of the
commitment lasts for arbitrary long time.


title:
Klein's double discontinuity revisited: what use is university
  mathematics to high school calculus?

abstract:
  Much effort and research has been invested into understanding and bridging
the gaps which many students experience in terms of contents and expectations
as they begin university studies with a heavy component of mathematics,
typically in the form of calculus courses. We have several studies of bridging
measures, success rates and many other aspects of these entrance transition
problems. In this paper, we consider the inverse transition, experienced by
university students as they revisit core parts of high school mathematics (in
particular, calculus) after completing the mandatory undergraduate mathematics
courses. To what extent does the advanced experience enable them to approach
the high school calculus in a deeper and more autonomous way? To what extent
can capstone courses support such an approach? How could it be hindered by
deficiencies in the students' advanced experience? In this paper, we present a
theoretical framework for an analysis of these questions, as well as a number
of critical observations and reflections on how they appear in our own
institutional context.


title: Self-conjugate core partitions and modular forms

abstract:
  A recent paper by Hanusa and Nath states many conjectures in the study of
self-conjugate core partitions. We prove all but two of these conjectures
asymptotically by number-theoretic means. We also obtain exact formulas for the
number of self-conjugate t-core partitions for "small" t via explicit
computations with modular forms. For instance, self-conjugate 9-core partitions
are related to counting points on elliptic curves over \Q with conductor
dividing 108, and self-conjugate 6-core partitions are related to the
representations of integers congruent to 11 mod 24 by 3X^2 + 32Y^2 + 96Z^2, a
form with finitely many (conjecturally five) exceptional integers in this
arithmetic progression, by an ineffective result of Duke--Schulze-Pillot.


title: Double Field Theory Inspired Cosmology

abstract:
  Double field theory proposes a generalized spacetime action possessing
manifest T-duality on the level of component fields. We calculate the
cosmological solutions of double field theory with vanishing Kalb-Ramond field.
It turns out that double field theory provides a more consistent way to
construct cosmological solutions than the standard string cosmology. We
construct solutions for vanishing and non-vanishing symmetry preserving dilaton
potentials. The solutions assemble the pre- and post-big bang evolutions in one
single line element. This novel feature provides a natural way for the theory
to contain extra dimensions. Our results show a smooth evolution from an
anisotropic early stage to an isotropic phase without any special initial
conditions in contrast to previous models. In addition, we demonstrate that the
contraction of the dual space automatically leads to both an inflation phase
and a decelerated expansion of the ordinary space during different evolution
stages.


title: Infinite computations with random oracles

abstract:
  We consider the following problem for various infinite time machines. If a
real is computable relative to large set of oracles such as a set of full
measure or just of positive measure, a comeager set, or a nonmeager Borel set,
is it already computable? We show that the answer is independent from ZFC for
ordinal time machines (OTMs) with and without ordinal parameters and give a
positive answer for most other machines. For instance, we consider, infinite
time Turing machines (ITTMs), unresetting and resetting infinite time register
machines (wITRMs, ITRMs), and \alpha-Turing machines for countable admissible
ordinals \alpha.


title: On the imbalance lattice of path-length sequences of binary trees

abstract:
  The existence of greatest lower bounds in the imbalance order of path-length
sequences of binary trees is seen to be a consequence of a joint monotonicity
property of the greater and lower expension operations. Path length sequences
that are join-irreducible in the imbalance lattice are characterized.


title: Calibration of the Super-Kamiokande Detector

abstract:
  Procedures and results on hardware level detector calibration in
Super-Kamiokande (SK) are presented in this paper. In particular, we report
improvements made in our calibration methods for the experimental phase IV in
which new readout electronics have been operating since 2008. The topics are
separated into two parts. The first part describes the determination of
constants needed to interpret the digitized output of our electronics so that
we can obtain physical numbers such as photon counts and their arrival times
for each photomultiplier tube (PMT). In this context, we developed an in-situ
procedure to determine high-voltage settings for PMTs in large detectors like
SK, as well as a new method for measuring PMT quantum efficiency and gain in
such a detector. The second part describes the modeling of the detector in our
Monte Carlo simulation, including in particular the optical properties of its
water target and their variability over time. Detailed studies on the water
quality are also presented. As a result of this work, we achieved a precision
sufficient for physics analysis over a wide energy range (from a few MeV to
above a TeV). For example, the charge determination was understood at the 1%
level, and the timing resolution was 2.1 nsec at the one-photoelectron charge
level and 0.5 nsec at the 100-photoelectron charge level.


title: A New Description of Quantum Behaviors for a Simple Harmonic Oscillator

abstract:
  We describe quantum behaviors of a simple harmonic oscillator, starting from
the classical mechanics. By imposing two conditions on the phase points
generated from a symplectic algorithm, we obtain discrete energy levels,
satisfying $E_n \tau_n = h$ where $E_n$ is the total energy of the oscillator
and $\tau_n$ is the time step for the closed orbit of $n$-polygon in phase
space. We can thus successfully integrate classical and quantum mechanics into
a single frame, if we assume that time is discrete.

categories: quant-ph hep-th physics.atom-ph physics.comp-ph


title:
Sparse Principal Component Analysis for High Dimensional Vector
  Autoregressive Models

abstract:
  We study sparse principal component analysis for high dimensional vector
autoregressive time series under a doubly asymptotic framework, which allows
the dimension $d$ to scale with the series length $T$. We treat the transition
matrix of time series as a nuisance parameter and directly apply sparse
principal component analysis on multivariate time series as if the data are
independent. We provide explicit non-asymptotic rates of convergence for
leading eigenvector estimation and extend this result to principal subspace
estimation. Our analysis illustrates that the spectral norm of the transition
matrix plays an essential role in determining the final rates. We also
characterize sufficient conditions under which sparse principal component
analysis attains the optimal parametric rate. Our theoretical results are
backed up by thorough numerical studies.


title: IP-Sat: Impact-Parameter dependent Saturation model; revised

abstract:
  In this talk, we present a global analysis of available small-x data on
inclusive DIS and exclusive diffractive processes, including the latest data
from the combined HERA analysis on reduced cross sections within the
Impact-Parameter dependent Saturation (IP-Sat) Model. The impact-parameter
dependence of dipole amplitude is crucial in order to have a unified
description of both inclusive and exclusive diffractive processes. With the
parameters of model fixed via a fit to the high-precision reduced
cross-section, we compare model predictions to data for the structure
functions, the longitudinal structure function, the charm structure function,
exclusive vector mesons production and Deeply Virtual Compton Scattering
(DVCS). Excellent agreement is obtained for the processes considered at small x
in a wide range of Q^2.


title: A Study of Fast Flareless Coronal Mass Ejections

abstract:
  Two major processes have been proposed to convert the coronal magnetic energy
into the kinetic energy of a coronal mass ejection (CME): resistive magnetic
reconnection and ideal macroscopic magnetohydrodynamic instability of magnetic
flux rope. However, it remains elusive whether both processes play a comparable
role or one of them prevails during a particular eruption. To shed light on
this issue, we carefully studied energetic but flareless CMEs, \textit{i.e.},
fast CMEs not accompanied by any flares. Through searching the Coordinated Data
Analysis Workshops (CDAW) database of CMEs observed in Solar Cycle 23, we found
13 such events with speeds larger than 1000 km s$^{-1}$. Other common
observational features of these events are: (1) none of them originated in
active regions; they were associated with eruptions of well-developed long
filaments in quiet-Sun regions, (2) no apparent enhancement of flare emissions
was present in soft X-ray, EUV and microwave data. Further studies of two
events reveal that (1) the reconnection electric fields, as inferred from the
product of the separation speed of post-eruption ribbons and the photospheric
magnetic field measurement, were in general weak; (2) the period with a
measurable reconnection electric field is considerably shorter than the total
filament-CME acceleration time. These observations indicate that, for these
fast CMEs, the magnetic energy was released mainly via the ideal flux rope
instability through the work done by the large scale Lorentz force acting on
the rope currents rather than via magnetic reconnections. We also suggest that
reconnections play a less important role in accelerating CMEs in quiet Sun
regions of weak magnetic field than those in active regions of strong magnetic
field.


title:
Polarized light imaging of birefringence and diattenuation at
  highresolution and high sensitivity

abstract:
  Polarized light microscopy provides unique opportunities for analyzing the
molecular order in man-made and natural materials, including biological
structures inside living cells, tissues, and whole organisms. 20 years ago, the
LC-PolScope was introduced as a modern version of the traditional polarizing
microscope enhanced by liquid crystal devices for the control of polarization,
and by electronic imaging and digital image processing for fast and
comprehensive image acquisition and analysis. The LC- PolScope is commonly used
for birefringence imaging, analyzing the spatial and temporal variations of the
differential phase delay in ordered and transparent materials. Here we describe
an alternative use of the LC-PolScope for imaging the polarization dependent
transmittance of dichroic materials. We explain the minor changes needed to
convert the instrument between the two imaging modes, discuss the relationship
between the quantities measured with either instrument, and touch on the
physical connection between refractive index, birefringence, transmittance,
diattenuation, and dichroism.


title: The Algebraic Connectivity and the Clique Number of Graphs

abstract:
  This paper investigates some relationship between the algebraic connectivity
and the clique number of graphs. We characterize all extremal graphs which have
the maximum and minimum the algebraic connectivity among all graphs of order
$n$ with the clique number $r$, respectively. In turn, an upper and lower
bounds for the clique number of a graph in terms of the algebraic connectivity
are obtained. Moreover, a spectral version of the Erd\H{o}s-Stone theorem in
terms of the algebraic connectivity of graphs is presented.


title:
Classification of congruences for mock theta functions and weakly
  holomorphic modular forms

abstract:
  Let $f(q)$ denote Ramanujan's mock theta function \[f(q) =
\sum_{n=0}^{\infty} a(n) q^{n} := 1+\sum_{n=1}^{\infty}
\frac{q^{n^{2}}}{(1+q)^{2}(1+q^{2})^{2}\cdots(1+q^{n})^{2}}.\] It is known that
there are many linear congruences for the coefficients of $f(q)$ and other mock
theta functions. We prove that if the linear congruence $a(mn+t) \equiv 0
\pmod{\ell}$ holds for some prime $\ell \geq 5$, then $\ell | m$ and
$(\frac{24t-1}{\ell}) \neq (\frac{-1}{\ell})$. We prove analogous results for
the mock theta function $\omega(q)$ and for a large class of weakly holomorphic
modular forms which includes $\eta$-quotients. This extends work of Radu in
which he proves a conjecture of Ahlgren and Ono for the partition function
$p(n)$.


title:
Mixture regression for observational data, with application to
  functional regression models

abstract:
  In a regression analysis, suppose we suspect that there are several
heterogeneous groups in the population that a sample represents. Mixture
regression models have been applied to address such problems. By modeling the
conditional distribution of the response given the covariate as a mixture, the
sample can be clustered into groups and the individual regression models for
the groups can be estimated simultaneously. This approach treats the covariate
as deterministic so that the covariate carries no information as to which group
the subject is likely to belong to. Although this assumption may be reasonable
in experiments where the covariate is completely determined by the
experimenter, in observational data the covariate may behave differently across
the groups. Thus the model should also incorporate the heterogeneity of the
covariate, which allows us to estimate the membership of the subject from the
covariate.
  In this paper, we consider a mixture regression model where the joint
distribution of the response and the covariate is modeled as a mixture. Given a
new observation of the covariate, this approach allows us to compute the
posterior probabilities that the subject belongs to each group. Using these
posterior probabilities, the prediction of the response can adaptively use the
covariate. We introduce an inference procedure for this approach and show its
properties concerning estimation and prediction. The model is explored for the
functional covariate as well as the multivariate covariate. We present a
real-data example where our approach outperforms the traditional approach,
using the well-analyzed Berkeley growth study data.


title: Synchronized output regulation of nonlinear multi-agent systems

abstract:
  This paper considers the synchronized output regulation (SOR) problem of
nonlinear multi-agent systems with switching graph. The SOR means that all
agents regulate their outputs to synchronize on the output of a predefined
common exosystem. Each agent constructs its local exosystem with the same
dynamics as that of the common exosystem and exchanges the state information of
the local exosystem. It is shown that the SOR is solvable under the assumptions
same as that for nonlinear output regulation of a single agent, if the
switching graph satisfies the bounded interconnectivity times condition. Both
state feedback and output feedback are addressed. A numerical simulation is
made to show the efficacy of the analytic results.


title: Observing remnants by fermions' tunneling

abstract:
  The standard Hawking formula predicts the complete evaporation of black
holes. In this paper, we introduce effects of quantum gravity into fermions'
tunneling from Reissner-Nordstrom and Kerr black holes. The quantum gravity
effects slow down the increase of Hawking temperatures. This property naturally
leads to a residue mass in black hole evaporation. The corrected temperatures
are affected by the quantum numbers of emitted fermions. Meanwhile, the
temperature of the Kerr black hole is a function of $\theta$ due to the
rotation.


title:
p-adic invariant integral on Zp associated with the Changhee q-Bernoulli
  polynomials

abstract:
  In this paper, we study some properties of Changhee's q-Bernou lli
polynomials which are derived from p-adic invariant integral on Zp. By using
these properties, we give some interesting identities related to higher- order
q-Bernoulli polynomials.


title:
Geometric constructions of thin Blaschke products and reducing subspace
  problem

abstract:
  In this paper, we mainly study geometric constructions of thin Blaschke
products $B$ and reducing subspace problem of multiplication operators induced
by such symbols $B$ on the Bergman space. Considering such multiplication
operators $M_B$, we present a representation of those operators commuting with
both $M_B$ and $M_B^*$. It is shown that for "most" thin Blaschke products $B$,
$M_B$ is irreducible, i.e. $M_B$ has no nontrivial reducing subspace; and such
a thin Blaschke product $B$ is constructed.
  As an application of the methods, it is proved that for "most" finite
Blaschke products $\phi$, $M_\phi$ has exactly two minimal reducing subspaces.
Furthermore, under a mild condition, we get a geometric characterization for
when $M_B$ defined by a thin Blaschke product $B$ has a nontrivial reducing
subspace.


title:
Coefficient of performance for a low-dissipation Carnot-like
  refrigerator with nonadiabatic dissipation

abstract:
  We study the coefficient of performance (COP) and its bounds of the
Canot-like refrigerator working between two heat reservoirs at constant
temperatures $T_h$ and $T_c$, under two optimization criteria
  $\chi$ and $\Omega$. In view of the fact that an "adiabatic" process takes
finite time and is nonisentropic, the nonadiabatic dissipation and the finite
time required for the "adiabatic" processes are taken into account. For given
optimization criteria, we find that the lower and upper bounds of the COP are
the same as the corresponding ones obtained from the previous idealized models
where any adiabatic process undergoes instantaneously with constant entropy.
When the dissipations of two "isothermal" and two "adiabatic" processes are
symmetric, respectively, our theoretical predictions match the observed COP's
of real refrigerators more closely than the ones derived in the previous
models, providing a strong argument in favor of our approach.


title:
Phase-controlled localization and directed transport in a bipartite
  lattice

abstract:
  We investigate coherent control of single particles held in a bipartite
optical lattice via a combined high-frequency modulation. Our analytical
results show that for the photon resonance case the quantum tunneling and
dynamical localization depend on the phase difference between the modulation
components, which leads to a different route of the coherent destruction of
tunneling and a simple method for stabilizing the system to implement the
directed transport. The results could be referable for manipulating the
transport characterization of the similar tilted and shaken optical or
solid-state systems, and also can be extended to the many-particle systems.


title: Sampling Theorems for Some Two-Step Nilpotent Lie Groups

abstract:
  Let $N$ be a simply connected, connected nilpotent Lie group with the
following assumptions. Its Lie Lie algebra $\mathfrak{n}$ is an $n$-dimensional
vector space over the reals. Moreover,
$\mathfrak{n=z}\oplus\mathfrak{b}\oplus\mathfrak{a}$, $\mathfrak{z}$ is the
center of $\mathfrak{n}$, $\mathfrak{z}
=\mathbb{R}Z_{n-2d}\oplus\mathbb{R}Z_{n-2d-1}\oplus\cdots\oplus
\mathbb{R}Z_{1}, \mathfrak{b} =\mathbb{R}Y_{d}\oplus\mathbb{R}
Y_{d-1}\oplus\cdots\oplus\mathbb{R}Y_{1}, \mathfrak{a}
=\mathbb{R}X_{d}\oplus\mathbb{R}X_{d-1}\oplus\cdots\oplus \mathbb{R}X_{1}.$
Next, assume $\mathfrak{z}\oplus\mathfrak{b}$ is a maximal commutative ideal of
$\mathfrak{n},$ $\left[ \mathfrak{a,b}\right] \subseteq\mathfrak{z},$ and
$\mathrm{det}\left([X_i,Y_j]\right)_{1\leq i,j\leq d}$ is a non-trivial
homogeneous polynomial defined over the ideal $\left[ \mathfrak{n,n}\right]
\subseteq\mathfrak{z}.$ We do not assume that $[\mathfrak{a},\mathfrak{a}]$ is
generally trivial. We obtain some precise description of band-limited spaces
which are sampling subspaces of $L^2(N)$ with respect to some discrete set
$\Gamma$. The set $\Gamma$ is explicitly constructed by fixing a
Jordan-H\"{o}lder basis for $\mathfrak{n}.$ We provide sufficient conditions
for which a function $f$ is determined from its sampled values on
$(f(\gamma))_{\gamma \in\Gamma}.$ We also provide an explicit formula for the
corresponding sinc-type functions. Several examples are also computed in the
paper.


title: Biomolecular resource utilization in elementary cell-free gene circuits

abstract:
  We present a detailed dynamical model of the behavior of
transcription-translation circuits in vitro that makes explicit the roles
played by essential molecular resources. A set of simple two-gene test circuits
operating in a cell-free biochemical 'breadboard' validate this model and
highlight the consequences of limited resource availability. In particular, we
are able to confirm the existence of biomolecular 'crosstalk' and isolate its
individual sources. The implications of crosstalk for biomolecular circuit
design and function are discussed.


title: Lifetime measurement of the low lying yrast states in 189Pt

abstract:
  Lifetimes of the positive-parity yrast band in 189Pt were measured using the
recoil distance Doppler-shift method. A HPGe detector array consisting of 13
detectors was used in conjunction with the plunger device in CIAE. Excited
states of 189Pt were populated by the 176Yb (18O, 5n) 189Pt fusion-evaporation
reaction at a beam energy 87 MeV. The lifetimes of two levels belonging to the
yrast band are measured. The results show that the 17/2+ state in the yrast
band has large Qt value, but it deceases quickly with spin increasing. It may
be contributed from the shape driving effect of the quasi-neutron from the
i13/2 oribital.


title: One generator $(1+u)$-quasi twisted codes over $F_2+uF_2$

abstract:
  This paper gives the minimum generating sets of three types of one generator
$(1+u)$-quasi twisted (QT) codes over $F_2+uF_2$, $u^2=0$. Moreover, it
discusses the generating sets and the lower bounds on the minimum Lee distance
of a special class of $A_2$ type one generator $(1+u)$-QT codes. Some good
(optimal or suboptimal) linear codes over $F_2$ are obtained by these types of
one generator $(1+u)$-QT codes.


title:
A Lognormal Central Limit Theorem for Particle Approximations of
  Normalizing Constants

abstract:
  This paper deals with the numerical approximation of normalizing constants
produced by particle methods, in the general framework of Feynman-Kac sequences
of measures. It is well-known that the corresponding estimates satisfy a
central limit theorem for a fixed time horizon $n$ as the number of particles
$N$ goes to infinity. Here, we study the situation where both $n$ and $N$ go to
infinity in such a way that $\lim_{n\rightarrow\infty}% n/N=\alpha>0$. In this
context, Pitt et al. \cite{pitt2012} recently conjectured that a lognormal
central limit theorem should hold. We formally establish this result here,
under general regularity assumptions on the model. We also discuss special
classes of models (time-homogeneous environment and ergodic random environment)
for which more explicit descriptions of the limiting bias and variance can be
obtained.


title: Steady Twin-Jets Orientation: Implications For Their Formation Mechanism

abstract:
  We compare the structures of the jets of the pre-planetary nebulae (PN)
CRL618 and the young stellar object (YSO) NGC 1333 IRAS4A2 and propose that in
both cases the jets are launched near periastron passages of a highly eccentric
binary system. The pre-PN CRL618 has two `twin-jets' on each side, where by
`twin-jets' we refer to a structure where one side is composed of two very
close and narrow jets that were launched at the same time. We analyze the
position-velocity diagram of NGC 1333 IRAS4A2, and find that it also has the
twin-jets structure. In both systems the orientation of the two twin-jets does
not change with time. By comparing these two seemingly different objects, we
speculate that the constant relative direction of the two twin-jets is fixed by
the direction of a highly eccentric orbit of a binary star. For example, a
double-arm spiral structure in the accretion disk induced by the companion
might lead to the launching of the twin-jets. We predict the presence of a
low-mass stelar companion in CRL618 that accretes mass and launches the jets,
and a substellar (a planet of a brown dwarf) companion to the YSO NGC 1333
IRAS4A2 that perturbed the accretion disk. In both cases the orbit has a high
eccentricity.


title:
Transverse spin asymmetries at COMPASS: beyond Collins and Sivers
  effects

abstract:
  One of the important objectives of the COMPASS experiment (SPS, CERN)
\cite{Abbon:2007pq} is the exploration of the transverse spin structure of the
nucleon via spin dependent azimuthal asymmetries in single-hadron production in
deep inelastic scattering of polarized leptons off transversely polarized
targets. For this purpose a series of measurements were made in COMPASS, using
160 GeV/c longitudinally polarized muon beam and transversely polarized $^6LiD$
(in 2002, 2003 and 2004) and $NH_3$ (in 2007 and 2010) targets.
  In the past few years considerable theoretical interest and experimental
efforts were focused on the study of Collins and Sivers transverse spin
asymmetries. The experimental results obtained so far play an important role in
the general understanding of the three-dimensional nature of the nucleon in
terms of transverse momentum dependent parton distribution functions.
  In addition to these two measured leading-twist effects, the SIDIS
cross-section includes six more target transverse spin dependent azimuthal
asymmetries, which have their own well defined leading or higher-twist
interpretation in terms of QCD parton model.
  COMPASS preliminary results for these six "beyond Collins and Sivers"
asymmetries, obtained from transversely polarized deuteron and proton data have
been presented at the previous conferences \cite{Parsamyan:2007ju} -
\cite{Parsamyan:2013ug}. In this review we focus on the results obtained with
the last "proton-2010" data sample.


title: Products and countable dense homogeneity

abstract:
  Building on work of Baldwin and Beaudoin, assuming Martin's Axiom, we
construct a zero-dimensional separable metrizable space $X$ such that $X$ is
countable dense homogeneous while $X^2$ is not. It follows from results of
Hru\v{s}\'ak and Zamora Avil\'es that such a space $X$ cannot be Borel.
Furthermore, $X$ can be made homogeneous and completely Baire as well.


title:
Optimal and sub-optimal quadratic forms for non-centered Gaussian
  processes

abstract:
  Individual random trajectories of stochastic processes are often analyzed by
using quadratic forms such as time averaged (TA) mean square displacement (MSD)
or velocity auto-correlation function (VACF). The appropriate quadratic form is
expected to have a narrow probability distribution in order to reduce
statistical uncertainty of a single measurement. We consider the problem of
finding the optimal quadratic form that minimizes a chosen cumulant moment
(e.g., the variance) of the probability distribution, under the constraint of
fixed mean value. For discrete non-centered Gaussian processes, we construct
the optimal quadratic form by using the spectral representation of the cumulant
moments. Moreover, we obtain a simple explicit formula for the smallest
achievable cumulant moment that may serve as a quality benchmark for other
quadratic forms. We illustrate the optimality issues by comparing the optimal
variance with the variances of the TA MSD and TA VACF of fractional Brownian
motion superimposed with a constant drift and independent Gaussian noise.


title:
The regular part of second-order differential sectorial forms with
  lower-order terms

abstract:
  We present a formula for the regular part of a sectorial form that represents
a general linear second-order differential expression that may include
lower-order terms. The formula is given in terms of the original coefficients.
It shows that the regular part is again a differential sectorial form and
allows to characterise when also the singular part is sectorial. While this
generalises earlier results on pure second-order differential expressions, it
also shows that lower-order terms truly introduce new behaviour.


title:
Compression and Combining Based on Channel Shortening and Rank Reduction
  Techniques for Cooperative Wireless Sensor Networks

abstract:
  This paper investigates and compares the performance of wireless sensor
networks where sensors operate on the principles of cooperative communications.
We consider a scenario where the source transmits signals to the destination
with the help of $L$ sensors. As the destination has the capacity of processing
only $U$ out of these $L$ signals, the strongest $U$ signals are selected while
the remaining $(L-U)$ signals are suppressed. A preprocessing block similar to
channel-shortening is proposed in this contribution. However, this
preprocessing block employs a rank-reduction technique instead of
channel-shortening. By employing this preprocessing, we are able to decrease
the computational complexity of the system without affecting the bit error rate
(BER) performance. From our simulations, it can be shown that these schemes
outperform the channel-shortening schemes in terms of computational complexity.
In addition, the proposed schemes have a superior BER performance as compared
to channel-shortening schemes when sensors employ fixed gain amplification.
However, for sensors which employ variable gain amplification, a tradeoff
exists in terms of BER performance between the channel-shortening and these
schemes. These schemes outperform channel-shortening scheme for lower
signal-to-noise ratio.


title:
Fitting Formulae for the Effects of Binary Interactions on Lick Indices
  and Colours of Stellar Populations

abstract:
  More than about 50% stars are in binaries, but most stellar population
studies take single star stellar population (ssSSP) models, which do not take
binary interactions into account. In fact, the integrated peculiarities of
ssSSPs are various from those of stellar populations with binary interactions
(bsSSPs). Therefore, it is necessary to investigate the effects of binary
interactions on the Lick indices and colours of populations detailedly. We show
some formulae for calculating the difference between the Lick indices and
colours of bsSSPs, and those of ssSSPs. Twenty-five Lick indices and 12 colours
are studied in the work. The results can be conveniently used for calculating
the effects of binary interactions on stellar population studies and for adding
the effects of binary interactions into present ssSSP models. The electrical
data and fortran procedures of the paper can be obtained on request to the
authors.


title:
Rational series and asymptotic expansion for linear homogeneous
  divide-and-conquer recurrences

abstract:
  Among all sequences that satisfy a divide-and-conquer recurrence, the
sequences that are rational with respect to a numeration system are certainly
the most immediate and most essential. Nevertheless, until recently they have
not been studied from the asymptotic standpoint. We show how a mechanical
process permits to compute their asymptotic expansion. It is based on linear
algebra, with Jordan normal form, joint spectral radius, and dilation
equations. The method is compared with the analytic number theory approach,
based on Dirichlet series and residues, and new ways to compute the Fourier
series of the periodic functions involved in the expansion are developed. The
article comes with an extended bibliography.


title: D-Brane solutions under market panic

abstract:
  The relativistic quantum mechanic approach is used to develop a stock market
dynamics. The relativistic is conceptional here as the meaning of big external
volatility or volatility shock on a financial market. We used a differential
geometry approach with the parallel transport of the prices to obtain a direct
shift of the stock price movement. The prices are represented here as electrons
with different spin orientation. Up and down orientations of the spin particle
are likened here as an increase or a decrease of stock prices. The paralel
transport of stock prices is enriched about Riemann curvature which describes
some arbitrage opportunities in the market. To solve the stock-price dynamics,
we used the Dirac equation for bispinors on the spherical brane-world. We found
that when a spherical brane is abbreviated to the disk on the equator, we
converge to the ideal behaviour of financial market where Black Scholes as well
as semi-classical equations are sufficient. Full spherical brane-world
scenarios can descibe a non-equilibrium market behaviour were all arbitrage
opportunities as well as transaction costs are take into account.


title:
NoSQL Database: New Era of Databases for Big data Analytics -
  Classification, Characteristics and Comparison

abstract:
  Digital world is growing very fast and become more complex in the volume
(terabyte to petabyte), variety (structured and un-structured and hybrid),
velocity (high speed in growth) in nature. This refers to as Big Data that is a
global phenomenon. This is typically considered to be a data collection that
has grown so large it can not be effectively managed or exploited using
conventional data management tools: e.g., classic relational database
management systems (RDBMS) or conventional search engines. To handle this
problem, traditional RDBMS are complemented by specifically designed a rich set
of alternative DBMS; such as - NoSQL, NewSQL and Search-based systems. This
paper motivation is to provide - classification, characteristics and evaluation
of NoSQL databases in Big Data Analytics. This report is intended to help
users, especially to the organizations to obtain an independent understanding
of the strengths and weaknesses of various NoSQL database approaches to
supporting applications that process huge volumes of data.


title: Tricyclic graphs with maximal revised Szeged index

abstract:
  The revised Szeged index of a graph $G$ is defined as $Sz^*(G)=\sum_{e=uv \in
E}(n_u(e)+ n_0(e)/2)(n_v(e)+ n_0(e)/2),$ where $n_u(e)$ and $n_v(e)$ are,
respectively, the number of vertices of $G$ lying closer to vertex $u$ than to
vertex $v$ and the number of vertices of $G$ lying closer to vertex $v$ than to
vertex $u$, and $n_0(e)$ is the number of vertices equidistant to $u$ and $v$.
In this paper, we give an upper bound of the revised Szeged index for a
connected tricyclic graph, and also characterize those graphs that achieve the
upper bound.


title: A Sampling Algebra for Aggregate Estimation

abstract:
  As of 2005, sampling has been incorporated in all major database systems.
While efficient sampling techniques are realizable, determining the accuracy of
an estimate obtained from the sample is still an unresolved problem. In this
paper, we present a theoretical framework that allows an elegant treatment of
the problem. We base our work on generalized uniform sampling (GUS), a class of
sampling methods that subsumes a wide variety of sampling techniques. We
introduce a key notion of equivalence that allows GUS sampling operators to
commute with selection and join, and derivation of confidence intervals. We
illustrate the theory through extensive examples and give indications on how to
use it to provide meaningful estimations in database systems.


title: A new DNA alignment method based on inverted index

abstract:
  This paper presents a novel DNA sequences alignment method based on inverted
index. Now most large scale information retrieval system are all use inverted
index as the basic data structure. But its application in DNA sequence
alignment is still not found. This paper just discuss such applications. Three
main problems, DNA segmenting, long DNA query search, DNA search ranking
algorithm and evaluation method are detailed respectively. This research
presents a new avenue to build more effective DNA alignment methods.


title: Zero sound in strange metals with hyperscaling violation from holography

abstract:
  Hyperscaling violating `strange metal' phase of heavy fermion compounds can
be described holographically by probe D-branes in the background of a Lifshitz
space-time (dynamical exponent $z$ and spatial dimensions $d$) with
hyperscaling violation (corresponding exponent $\theta$). Without the
hyperscaling violation, strange metals are known to exhibit zero sound mode for
$z<2$ analogous to the Fermi liquids. In this paper, we study its fate in the
presence of hyperscaling violation and find that in this case the zero sound
mode exists for $z < 2(1+|\theta|/d)$, where the positivity of the specific
heat and the null energy condition of the background dictate that $\theta<0$
and $z\geq 1$. However, for $z \geq 2(1+|\theta|/d)$, there is no well-defined
quasiparticle for the zero sound. The systems behave like Fermi liquid for
$2|\theta|=dz$ and like Bose liquid for $2|\theta| = qdz$ (where $q$ is the
number of spatial dimensions along which D-branes are extended in the
background space), but in general they behave as a new kind of quantum liquid.
We also compute the AC conductivity of the systems and briefly comment on the
results.


title: Compact K\"ahler manifolds with automorphism groups of maximal rank

abstract:
  For an automorphism group G on an n-dimensional (n > 2) normal projective
variety or a compact K\"ahler manifold X so that G modulo its subgroup N(G) of
null entropy elements is an abelian group of maximal rank n-1, we show that
N(G) is virtually contained in Aut_0(X), the X is a quotient of a complex torus
T and G is mostly descended from the symmetries on the torus T, provided that
both X and the pair (X, G) are minimal.


title: Accounting for the Sun and the Moon in Fermi-LAT Analysis

abstract:
  The Sun and the Moon are quiescent gamma-ray sources that are clearly
detectable in Fermi-LAT data. While moving through the sky, the Sun and the
Moon can be a significant background in the analysis of Fermi-LAT data if they
pass through the region of interest. Accurate modeling of their intensity is
needed in this case, accounting for the correct exposure of their track along
the sky. We present the Solar System Tools (SST) which calculate the templates
of the Sun's and the Moon's intensity in the sky for a given observing period
and a model of their steady emission. These tools are available in the standard
Fermi-LAT Science Tools.


title: Form factors of spin 1 analogue of the eight-vertex model

abstract:
  The twenty-one-vertex model, the spin $1$ analogue of the eight-vertex model
is considered on the basis of free field representations of vertex operators in
the $2\times 2$-fold fusion SOS model and vertex-face transformation. The tail
operators, which translate corner transfer matrices of the twenty-one-vertex
model into those of the fusion SOS model, are constructed by using free bosons
and fermions for both diagonal and off-diagonal matrix elements with respect to
the ground state sectors. Form factors of any local operators are therefore
obtained in terms of multiple integral formulae, in principle. As the simplest
example, the two-particle form factor of the spin operator is calculated
explicitly.


title:
Generic solution of the heterogeneity-induced competing risk problem in
  survival analysis

abstract:
  Most papers implicitly assume competing risks to be induced by residual
cohort heterogeneity, i.e. heterogeneity that is not captured by the recorded
covariates. Based on this observation we develop a generic statistical
description of competing risks that unifies the main schools of thought.
Assuming heterogeneity-induced competing risks is much weaker than assuming
risk independence. However, we show that it still imposes sufficient
constraints to solve the competing risk problem, and derive exact formulae for
decontaminated primary risk hazard rates and cause-specific survival functions.
The canonical description is in terms of a cohort's covariate-constrained
functional distribution of individual hazard rates of all risks. Assuming
proportional hazards at the level of individuals leads to a natural
parametrisation of this distribution, from which Cox regression, frailty and
random effects models, and latent class models can all be recovered in special
limits, and which also generates parametrised cumulative incidence functions
(the language of Fine and Gray).
  We demonstrate with synthetic data how the generic method can uncover and map
a cohort's substructure, if such substructure exists, and remove
heterogeneity-induced false protectivity and false exposure effects.
Application to real survival data from the ULSAM study, with prostate cancer as
the primary risk, is found to give plausible alternative explanations for
previous counter-intuitive inferences.


title: Motives and oriented cohomology of a linear algebraic group

abstract:
  For a cellular variety $X$ over a field $k$ of characteristic 0 and an
algebraic oriented cohomology theory $\hh$ of Levine-Morel we construct a
filtration on the cohomology ring $\hh(X)$ such that the associated graded ring
is isomorphic to the Chow ring of $X$. Taking $X$ to be the variety of Borel
subgroups of a split semisimple linear algebraic group $G$ over $k$ we apply
this filtration to relate the oriented cohomology of $G$ to its Chow ring. As
an immediate application we compute the algebraic cobordism ring of a group of
type $G_2$, of groups $SO_n$ and $Spin_m$ for $n=3,4$ and $m=3,4,5,6$ and
$PGL_k$ for $k\geqslant 2$.
  Using this filtration we also establish the following comparison result
between Chow motives and $\hh$-motives of generically cellular varieties: any
irreducible Chow-motivic decomposition of a generically split variety $Y$ gives
rise to a $\hh$-motivic decomposition of $Y$ with the same generating function.
Moreover, under some conditions on the coefficient ring of $\hh$ the obtained
$\hh$-motivic decomposition will be irreducible. We also prove that if Chow
motives of two twisted forms of $Y$ coincide, then their $\hh$-motives coincide
as well.


title: Simulating Ability: Representing Skills in Games

abstract:
  Throughout the history of games, representing the abilities of the various
agents acting on behalf of the players has been a central concern. With
increasingly sophisticated games emerging, these simulations have become more
realistic, but the underlying mechanisms are still, to a large extent, of an ad
hoc nature. This paper proposes using a logistic model from psychometrics as a
unified mechanism for task resolution in simulation-oriented games.


title: Sensitivity Analysis in a Dengue Epidemiological Model

abstract:
  Epidemiological models may give some basic guidelines for public health
practitioners, allowing to analyze issues that can influence the strategies to
prevent and fight a disease. To be used in decision-making, however, a
mathematical model must be carefully parameterized and validated with
epidemiological and entomological data. Here a SIR (S for susceptible, I for
infectious, R for recovered individuals) and ASI (A for the aquatic phase of
the mosquito, S for susceptible and I for infectious mosquitoes)
epidemiological model describing a dengue disease is presented, as well as the
associated basic reproduction number. A sensitivity analysis of the
epidemiological model is performed in order to determine the relative
importance of the model parameters to the disease transmission.


title: Wakamatsu-silting complexes

abstract:
  We introduce Wakamatsu-silting complexes (resp., Wakamatsu-tilting complexes)
as a common generalization of both silting complexes (resp., tilting complexes)
and Wakamatsu-tilting modules. Characterizations of Wakamatsu-silting complexes
are given. In particular, we show that a complex $T$ is Wakamatsu-silting if
and only if its dual $DT$ is Wakamatsu-silting. It is conjectured that all
compact Wakamatsu-silting complexes are just silting complexes. We prove that
the conjecture lies under the finitistic dimension conjecture.


title: Connector algebras for C/E and P/T nets' interactions

abstract:
  A quite flourishing research thread in the recent literature on
component-based systems is concerned with the algebraic properties of different
classes of connectors. In a recent paper, an algebra of stateless connectors
was presented that consists of five kinds of basic connectors, namely symmetry,
synchronization, mutual exclusion, hiding and inaction, plus their duals, and
it was shown how they can be freely composed in series and in parallel to model
sophisticated 'glues'. In this paper we explore the expressiveness of stateful
connectors obtained by adding one-place buffers or unbounded buffers to the
stateless connectors. The main results are: i) we show how different classes of
connectors exactly correspond to suitable classes of Petri nets equipped with
compositional interfaces, called nets with boundaries; ii) we show that the
difference between strong and weak semantics in stateful connectors is
reflected in the semantics of nets with boundaries by moving from the classic
step semantics (strong case) to a novel banking semantics (weak case), where a
step can be executed by taking some 'debit' tokens to be given back during the
same step; iii) we show that the corresponding bisimilarities are congruences
(w.r.t. composition of connectors in series and in parallel); iv) we show that
suitable monoidality laws, like those arising when representing stateful
connectors in the tile model, can nicely capture concurrency (in the sense of
step semantics) aspects; and v) as a side result, we provide a basic algebra,
with a finite set of symbols, out of which we can compose all P/T nets with
boundaries, fulfilling a long standing quest.


title:
Implementation of STIRAP in degenerate systems by dimensionality
  reduction

abstract:
  We consider the problem of the implementation of Stimulated Raman Adiabatic
Passage (STIRAP) processes in degenerate systems, with a view to be able to
steer the system wave function from an arbitrary initial superposition to an
arbitrary target superposition. We examine the case a $N$-level atomic system
consisting of $ N-1$ ground states coupled to a common excited state by laser
pulses. We analyze the general case of initial and final superpositions
belonging to the same manifold of states, and we cover also the case in which
they are non-orthogonal. We demonstrate that, for a given initial and target
superposition, it is always possible to choose the laser pulses so that in a
transformed basis the system is reduced to an effective three-level $\Lambda$
system, and standard STIRAP processes can be implemented. Our treatment leads
to a simple strategy, with minimal computational complexity, which allows us to
determine the laser pulses shape required for the wanted adiabatic steering.


title: Weighted norm inequalities for convolution and Riesz potential

abstract:
  In this paper, we prove analogues of O'Neil's inequalities for the
convolution in the weighted Lebesgue spaces. We also establish the weighted
two-sided norm inequalities for the potential operator.


title: Weighted Fractional Bernstein's inequalities and their applications

abstract:
  This paper studies the following weighted, fractional Bernstein inequality
for spherical polynomials on $\sph$:
  \begin{equation}\label{4-1-TD-ab} \|(-\Delta_0)^{r/2} f\|_{p,w}\leq C_w n^{r}
\|f\|_{p,w}, \ \ \forall f\in \Pi_n^d, \end{equation} where $\Pi_n^d$ denotes
the space of all spherical polynomials of degree at most $n$ on $\sph$, and
$(-\Delta_0)^{r/2}$ is the fractional Laplacian-Beltrami operator on $\sph$.
  A new class of doubling weights with conditions weaker than the $A_p$ is
introduced, and used to fully characterize those doubling weights $w$ on $\sph$
for which the weighted Bernstein inequality \eqref{4-1-TD-ab} holds for some
$1\leq p\leq \infty$ and all $r>\tau$. In the unweighted case, it is shown that
if $0<p<\infty$ and $r>0$ is not an even integer, then \eqref{4-1-TD-ab} with
$w\equiv 1$ holds if and only if $r>(d-1)(\f 1p-1)$. As applications, we show
that any function $f\in L_p(\sph)$ with $0<p<1$ can be approximated by the de
la Vall\'ee Poussin means of a Fourier-Laplace series, and establish a sharp
Sobolev type Embedding theorem for the weighted Besov spaces with respect to
general doubling weights.


title:
Ideal Desalination through Graphyne-4 Membrane: Nanopores for Quantized
  Water Transport

abstract:
  Graphyne-4 sheet exhibits promising potential for nanoscale desalination to
achieve both high water permeability and salt rejection rate. Extensive
molecular dynamics simulations on pore-size effects suggest that graphyne-4,
with 4 acetylene bonds between two adjacent phenyl rings, has the best
performance with 100% salt rejection and an unprecedented water permeability,
to our knowledge, of ~13L/cm2/day/MPa, about 10 times higher than the
state-of-the-art nanoporous graphene reported previously (Nano Lett.s 2012, 12,
3602-3608). In addition, the membrane entails very low energy consumption for
producing 1m3 of fresh water, i.e., 3.6e-3 kWh/m3, three orders of magnitude
less than the prevailing commercial membranes based on reverse osmosis. Water
flow rate across the graphyne-4 sheet exhibits intriguing nonlinear dependence
on the pore size owing to the quantized nature of water flow at the nanoscale.
Such novel transport behavior has important implications to the design of
highly effective and efficient desalination membranes.


title:
A new method for solving the Z>137 problem for energy levels of
  hydrogen-like atoms

abstract:
  The "catastrophe" in solving the Dirac equation for an electron in the field
of a point electric charge, which emerges for the charge numbers Z > 137, is
removed in this work by effective accounting of finite dimensions of nuclei.
For this purpose, in numerical solutions of equations for Dirac radial wave
functions, we introduce a boundary condition at the nucleus boundary such that
the components of the electron current density is zero. As a result, for all
nuclei of the periodic table the calculated energy levels practically coincide
with the energy levels in standard solutions of the Dirac equation in the
external field of the Coulomb potential of a point charge. Further, for Z >
105, the calculated energy level functions E(Z) are monotone and smooth.The
lower energy level reaches the energy E=-mc^{2} (the electron "drop" on a
nuclei) at Zc = 178. The proposed method of accounting of the finite size of
nuclei can be easily used in numerical calculations of energy levels of
many-electron atoms.


title: Transport properties of the Coulomb-Majorana junction

abstract:
  We provide a comprehensive theoretical description of low-energy quantum
transport for a Coulomb-Majorana junction, where several helical Luttinger
liquid nanowires are coupled to a joint mesoscopic superconductor with finite
charging energy. Including the Majorana bound states formed near the ends of
superconducting wire parts, we derive and analyze the Keldysh phase action
describing nonequilibrium charge transport properties of the junction. The
low-energy physics corresponds to a two-channel Kondo model with symmetry group
SO(M), where M is the number of leads connected to the superconductor.
Transport observables, such as the conductance tensor or current noise
correlations, display non-trivial temperature or voltage dependences reflecting
non-Fermi liquid behavior.


title: Non-linear superposition law and Skyrme crystals

abstract:
  Exact configurations of the four dimensional Skyrme model are presented. The
static configurations have the profile which behaves as a kink and,
consequently, the corresponding energy momentum tensor describes a domain wall.
Furthermore, a class of exact time periodic Skyrmions is discovered. Within
such class, it is possible to disclose a remarkable phenomenon which is a
genuine effect of the Skyrme term. For a special value of the frequency the
Skyrmions admit a non linear superposition principle. One can combine two or
more exact elementary Skyrmions (which may depend in a non trivial way on all
the space like coordinates) into a new exact composite Skyrmion. Due to such
superposition law, despite the explicit presence of non linear effects in the
energy momentum tensor, the interaction energy between the elementary Skyrmions
can be computed exactly. The relations with the appearance of Skyrme crystals
is discussed.


title: The Collisionless Magnetoviscous-Thermal Instability

abstract:
  It is likely that nearly all central galactic massive and supermassive black
holes are nonradiative: their accretion luminosities are orders of magnitude
below what can be explained by efficient black hole accretion within their
ambient environments. These objects, of which Sagittarius A* is the best-known
example, are also dilute (mildly collisional to highly collisionless) and
optically thin. In order for accretion to occur, magnetohydrodynamic
instabilities must develop that not only transport angular momentum, but also
gravitational energy generated through matter infall, outwards. A class of new
magnetohydrodynamical fluid instabilities -- the magnetoviscous-thermal
instability (MVTI) (Islam12) -- was found to transport angular momentum and
energy along magnetic field lines through large (fluid) viscosities and thermal
conductivities. This paper describes the collisionless and mildly collisional
analogue to the MVTI, the collisional magnetothermal instability (CMTI), that
similarly transports energy and angular momentum outwards, expected to be
important in describing the flow properties of hot, dilute, and radiatively
inefficient accretion flows around black holes. In this paper we derive a form
of the collisionless drift-kinetic equation appropriate for accretion physics.
We construct a local equilibrium for MHD stability analysis in this
differentially rotating disk. We then find and characterize specific
instabilities expected to be important in describing the flow properties of
hot, dilute, and radiatively inefficient accretion flows around black holes,
and show their qualitative similarities to instabilities derived using a fluid
formalism (Islam12). We conclude with further work needed in modeling this
class of accretion flow.


title: On the convergence of type I Hermite-Pad\'e approximants

abstract:
  Pad\'e approximation has two natural extensions to vector rational
approximation through the so called type I and type II Hermite-Pad\'e
approximants. The convergence properties of type II Hermite-Pad\'e approximants
have been studied. For such approximants Markov and Stieltjes type theorems are
available. To the present, such results have not been obtained for type I
approximants. In this paper, we provide Markov and Stieltjes type theorems on
the convergence of type I Hermite-Pad\'e approximants for Nikishin systems of
functions.


title: Dynamic Traitor Tracing Schemes, Revisited

abstract:
  We revisit recent results from the area of collusion-resistant traitor
tracing, and show how they can be combined and improved to obtain more
efficient dynamic traitor tracing schemes. In particular, we show how the
dynamic Tardos scheme of Laarhoven et al. can be combined with the optimized
score functions of Oosterwijk et al. to trace coalitions much faster. If the
attack strategy is known, in many cases the order of the code length goes down
from quadratic to linear in the number of colluders, while if the attack is not
known, we show how the interleaving defense may be used to catch all colluders
about twice as fast as in the dynamic Tardos scheme. Some of these results also
apply to the static traitor tracing setting where the attack strategy is known
in advance, and to group testing.


title: Helix surfaces in the special linear group

abstract:
  We characterize helix surfaces (constant angle surfaces) in the special
linear group $\mathrm{SL}(2,\r)$. In particular, we give an explicit local
description of these surfaces in terms of a suitable curve and a 1-parameter
family of isometries of $\mathrm{SL}(2,\r)$.


title: First Estimates of Nonleptonic $B_c \to AT$ Weak Decays

abstract:
  We obtain the first estimates of branching ratios for the weak decays of
$B_c$ meson decaying to two orbitally excited mesons namely, axial-vector meson
($A$) and tensor meson ($T$), in the final state. We calculate $B_c \to T$
transition form factors using the Isgur-Scora-Grinstein-Wise II framework and
consequently predict branching ratios of $ B_c \to AT $ decays in
Cabibbo-Kobayashi-Maskawa favored and suppressed modes.


title:
Graphene Enabled Low-Control Quantum Gates between Static and Mobile
  Spins

abstract:
  We show that the feature of Klein tunneling makes graphene a unique interface
for implementing low control quantum gates between static and mobile qubits. A
ballistic electron spin is considered as the mobile qubit, while the static
qubit is the electronic spin of a quantum dot fixed in a graphene nanoribbon.
Scattering is the low control mechanism of the gate, which, in other systems,
is really difficult to exploit because of both back-scattering and the momentum
dependence of scattering. We find that Klein tunneling enables the
implementation of quasi-deterministic quantum gates regardless of the momenta
or the shape of the wave function of the incident electron. The Dirac equation
is used to describe the system in the one particle approximation with the
interaction between the static and the mobile spins modelled by a Heisenberg
Hamiltonian. Furthermore, we discuss an application of this model to generate
entanglement between two well separated static qubits.


title:
Regarding the "Comments on 'Near-field interference for the
  unidirectional excitation of electromagnetic guided modes' " by Lee et al

abstract:
  We would like to clarify the misunderstanding caused by comment
[arXiv:1306.5068 (2013)] on our article [Science 340, 328 (2013)]. The
vectorial near-field interference effect described in our article is a
fundamental physical process valid for all kinds of waves, both photonic and
plasmonic, and the discovery of this effect is the main topic of the paper. The
experiment using a slit in a metal film was one possible practical realization,
but the effect has recently been experimentally validated in several other
structures, as described in this reply.


title: Ornitolog\'ia Virtual: Caracterizando a #Chile en Twitter

abstract:
  Este art\'iculo presenta un an\'alisis de los tweets recolectados el 28 de
Octubre de 2012, en el contexto de las elecciones municipales de 2012 en Chile.
Dicho an\'alisis se realiza mediante una metodolog\'ia basada en literatura
previa, en particular en t\'ecnicas de recuperaci\'on de la informaci\'on y de
an\'alisis de espacios de informaci\'on. Como resultado, se determinan: 1)
caracter\'isticas demogr\'aficas b\'asicas de la poblaci\'on virtual chilena,
incluyendo su distribuci\'on geogr\'afica, 2) el contenido que caracteriza a
cada regi\'on, y c\'omo fluye informaci\'on entre regiones, y 3) el grado de
representatividad de la poblaci\'on virtual participante en el evento con
respecto a la poblaci\'on f\'isica. Se determina que la muestra obtenida es
representativa de la poblaci\'on en t\'erminos de distribuci\'on geogr\'afica,
que el centralismo que afecta al pa\'is se ve reflejado en Twitter, y que, a
pesar de los sesgos poblacionales, es posible identificar el contenido que
caracteriza a cada regi\'on. Se finaliza con una discusi\'on de las
implicaciones y conclusiones pr\'acticas de este trabajo, as\'i como futuras
aplicaciones.


title: Dipole-Loaded Monopole Optimized Using VSO, v.3

abstract:
  A dipole-loaded monopole antenna is optimized for uniform hemispherical
coverage using VSO, a new global search design and optimization algorithm. The
antenna's performance is compared to genetic algorithm and hill-climber
optimized loaded monopoles, and VSO is tested against two suites of benchmark
functions and several other algorithms.


title:
Beardwood-Halton-Hammersley Theorem for Stationary Ergodic Sequences: a
  Counterexample

abstract:
  We construct a stationary ergodic process $X_1, X_2, \ldots $ such that each
$X_t$ has the uniform distribution on the unit square and the length $L_n$ of
the shortest path through the points $X_1, X_2, \ldots,X_n$ is not asymptotic
to a constant times the square root of $n$. In other words, we show that the
Beardwood, Halton and Hammersley theorem does not extend from the case of
independent uniformly distributed random variables to the case of stationary
ergodic sequences with uniform marginal distributions.


title: Helium Compton Form Factor Measurements at CLAS

abstract:
  The distribution of the parton content of nuclei, as encoded via the
generalized parton distributions (GPDs), can be accessed via the deeply virtual
Compton scattering (DVCS) process contributing to the cross section for
leptoproduction of real photons. Similarly to the scattering of light by a
material, DVCS provides information about the dynamics and the spatial
structure of hadrons. The sensitivity of this process to the lepton beam
polarization allows to single-out the DVCS amplitude in terms of Compton form
factors that contain GPDs information. The beam spin asymmetry of the
$^4$He($\vec {\mathrm e}$,e$' \gamma ^4$He) process was measured in the
experimental Hall B of the Jefferson Laboratory to extract the real and
imaginary parts of the twist-2 Compton form factor of the $^4$He nucleus. The
experimental results reported here demonstrate the relevance of this method for
such a goal, and suggest the dominance of the Bethe-Heitler amplitude to the
unpolarized process in the kinematic range explored by the experiment.


title:
Effect of encapsulated graphene oxide on alginate-based bead adsorption
  to remove acridine orange from aqueous solutions

abstract:
  Environmentally-benign high-performance graphene oxide (GO)/alginate-based
absorbents were prepared to eliminate acridine orange selected as a typical
dye. Characterizations demonstrated GO well encapsulated and its promotion of
pore formation on structure. Kinetic studies exhibited that the addition of GO
shortened the adsorption equilibrium time, raised the initial rate and the
adsorption capacity. Isotherm studies indicated the adsorptive behavior
followed Langmuir type, and higher maximum capacity was obtained in the
presence of GO. The adsorption positively responded to pH increased from acidic
to weakly alkaline. At low pH, GO would contribute dominantly to the
adsorption, whereas alginate component was inhibited.


title: Additive invariants in o-minimal valued fields

abstract:
  We develop a theory of Hrushovski-Kazhdan style motivic integration for
certain type of non-archimedean o-minimal fields, namely polynomial-bounded
T-convex valued fields. The structure of valued fields is expressed through a
two-sorted first-order language L_TRV. We establish canonical homomorphisms
between the Grothendieck semirings of various categories of definable sets that
are associated with the VF-sort and the RV-sort of L_TRV. The groupifications
of some of these homomorphisms may be described explicitly and are understood
as generalized Euler characteristics. In the end, following the
Hrushovski-Loeser method, we construct topological zeta functions associated
with (germs of) definable continuous functions in an arbitrary
polynomial-bounded o-minimal field and show that they are rational. The overall
construction is closely modeled on that of the original Hrushovski-Kazhdan
construction, as reproduced in the series of papers by the present author.


title: Predictive information in a sensory population

abstract:
  Guiding behavior requires the brain to make predictions about future sensory
inputs. Here we show that efficient predictive computation starts at the
earliest stages of the visual system. We estimate how much information groups
of retinal ganglion cells carry about the future state of their visual inputs,
and show that every cell we can observe participates in a group of cells for
which this predictive information is close to the physical limit set by the
statistical structure of the inputs themselves. Groups of cells in the retina
also carry information about the future state of their own activity, and we
show that this information can be compressed further and encoded by downstream
predictor neurons, which then exhibit interesting feature selectivity.
Efficient representation of predictive information is a candidate principle
that can be applied at each stage of neural computation.


title:
The Next Frontier in UHECR Research with an Upgraded Pierre Auger
  Observatory

abstract:
  The motivation, physics objectives, and technical strategy of a upgrade to
the Pierre Auger Observatory are discussed.


title: Valuation spaces and multiplier ideals on singular varieties

abstract:
  We generalize to all normal complex algebraic varieties the valuative
characterization of multiplier ideals due to Boucksom-Favre-Jonsson in the
smooth case. To that end, we extend the log discrepancy function to the space
of all real valuations, and prove that it satisfies an adequate properness
property, building upon previous work by Jonsson-Musta\c{t}\u{a}. We next give
an alternative definition of the concept of numerically Cartier divisors
previously introduced by the first three authors, and prove that numerically
Q-Cartier divisors coincide with Q-Cartier divisors for rational singularities.
These ideas naturally lead to the notion of numerically Q-Gorenstein varieties,
for which our valuative characterization of multiplier ideals takes a
particularly simple form.


title:
Spin filtering in a Rashba-Dresselhaus-Aharonov-Bohm double-dot
  interferometer

abstract:
  We study the spin-dependent transport of spin-1/2 electrons through an
interferometer made of two elongated quantum dots or quantum nanowires, which
are subject to both an Aharonov-Bohm flux and (Rashba and Dresselhaus)
spin-orbit interactions. Similar to the diamond interferometer proposed in our
previous papers [Phys. Rev. B {\bf 84}, 035323 (2011); Phys. Rev. B {\bf 87},
205438 (2013)], we show that the double-dot interferometer can serve as a
perfect spin filter due to a spin interference effect. By appropriately tuning
the external electric and magnetic fields which determine the Aharonov-Casher
and Aharonov-Bohm phases, and with some relations between the various hopping
amplitudes and site energies, the interferometer blocks electrons with a
specific spin polarization, independent of their energy. The blocked
polarization and the polarization of the outgoing electrons is controlled
solely by the external electric and magnetic fields and do not depend on the
energy of the electrons. Furthermore, the spin filtering conditions become
simpler in the linear-response regime, in which the electrons have a fixed
energy. Unlike the diamond interferometer, spin filtering in the double-dot
interferometer does not require high symmetry between the hopping amplitudes
and site energies of the two branches of the interferometer and thus may be
more appealing from an experimental point of view.


title:
Circular Polarization of Periodic Leaky-Wave Antennas with Axial
  Asymmetry: Theoretical Proof and Experimental Demonstration

abstract:
  The paper includes two contributions. First, it proves that the series and
shunt radiation components, corresponding to longitudinal and transversal
electric fields, respectively, are always in phase quadrature in axially
asymmetric periodic leaky-wave antennas (LWAs), so that these antennas are
inherently elliptically polarized. This fact is theoretically proven and
experimentally illustrated by two case-study examples, a composite
right/left-handed (CRLH) LWA and a series-fed patch (SFP) LWA. Second, it shows
(for the case of the SFP LWA) that the axial ratio is controlled and minimized
by the degree of axial asymmetry.


title:
Portfolio management under risk contraints - Lectures given at
  MITACS-PIMS-UBC Summer School in Risk Management and Risk Sharing

abstract:
  The aim of these lectures at MITACS-PIMS-UBC Summer School in Risk Man-
agement and Risk Sharing is to discuss risk controlled approaches for the
pricing and hedging of financial risks. We will start with the classical dual
approach for financial markets, which al- lows to rewrite super-hedging
problems in terms of optimal control problems in standard form. Based on this,
we shall then consider hedging and pricing prob- lems under utility or risk
minimization criteria. This approach will turn out to be powerful whenever
linear (or essentially linear) problems are considered, but not adapted to more
general settings with non-linear dynamics (e.g. large investor models, high
frequency trading with market impact features, mixed finance/insurance issues).
In the second part of this lecture, we will develop on a new approach for risk
control problems based on a stochastic target formulation. We will see how
flexible this approach is and how it allows to characterize very easily super-
hedging prices in term of suitable Hamilton-Jacobi-Bellman type partial differ-
ential equations (PDEs). We will then see how quantile hedging and expected
loss pricing problems can be embeded into this framework, for a very large
class of financial models. We shall finally consider a simple example of
optimal book liquidation in which the control is a continuous non-decreasing
process, as an illustration of possible practical developments in optimal
trading under risk constraint.These lectures are organized in small chapters,
each of them being focused on a particular aspect.


title: Features of a 2d Gauge Theory with Vanishing Chiral Condensate

abstract:
  The Schwinger model with $N_f \geq 2$ flavors is a simple example for a
fermionic model with zero chiral condensate Sigma (in the chiral limit). We
consider numerical data for two light flavors, based on simulations with
dynamical chiral lattice fermions. We test properties and predictions that were
put forward in the recent literature for models with Sigma = 0, which include
IR conformal theories. In particular we probe the decorrelation of low lying
Dirac eigenvalues, and we discuss the mass anomalous dimension and its IR
extrapolation. Here we encounter subtleties, which may urge caution with
analogous efforts in other models, such as multi-flavor QCD.


title: Positive Splitting Method for the Hull & White 2D Black-Scholes Equation

abstract:
  In this paper we present a locally one-dimensional (LOD) splitting method to
solve numerically the two-dimensional Black-Scholes equation, arising in the
Hull & White model for pricing European options with stochastic volatility,
characterized by the presence of a mixed derivative term. The parabolic
equation degenerates on the boundary x = 0 and we apply a fitted finite-volume
difference scheme, proposed in [23], in order to resolve the degeneration.
Discrete maximum principle is proved and therefore our method preserves the
non-negativity. Numerical experiments illustrate the efficiency of our
difference scheme.


title:
Contact-free probing of interfacial charging and Debye-like charge
  screening in SiO$_2$/PDI8-CN$_2$ systems by optical second harmonic
  generation

abstract:
  Investigation of the interfacial electronic properties of
N,N'-bis(n-octyl)-(1,7&1,6)-dicyanoperylene-3,4:9,10-bisdicarboximide
(PDI8-CN2) organic semiconductor films grown on silicon dioxide is performed by
polarization-resolved second harmonic generation optical spectroscopy, pointing
out a spatial region where charge carriers distribution in the semiconductor
lacks inversion symmetry. By developing a model for nonlinear susceptibility in
the framework of Debye-Huckel screening theory, we show that the experimental
findings can be interpreted as resulting from the presence of a net charge
localized at the silicon dioxide, accompanied by a non-uniform charge
distribution in the organic semiconductor. Photoluminescence analysis further
reinforces this scenario. Reduction-oxidation reactions involving PDI8-CN2 and
water molecules are invoked as physical origin of the localized charge. The
work outlines a sensitive tool to probe the total charge localized at buried
semiconductor/dielectric interfaces in organic thin-film transistors without
resorting to invasive contact-based analyses.


title: Regularity and Bernstein-type results for nonlocal minimal surfaces

abstract:
  We prove that, in every dimension, Lipschitz nonlocal minimal surfaces are
smooth. Also, we extend to the nonlocal setting a famous theorem of De Giorgi
stating that the validity of Bernstein's theorem in dimension $n+1$ is a
consequence of the nonexistence of $n$-dimensional singular minimal cones in
$\R^n$.


title:
Finite Volume Difference Scheme for a Degenerate Parabolic Equation in
  the Zero-Coupon Bond Pricing

abstract:
  In this paper we solve numerically a degenerate parabolic equation with
dynamical boundary conditions of zero-coupon bond pricing. First, we discuss
some properties of the differential equation. Then, starting from the divergent
form of the equation we implement the finite-volume method of S. Wang [16] to
discretize the differential problem. We show that the system matrix of the
discretization scheme is a M-matrix, so that the discretization is monotone.
This provides the non-negativity of the price with respect to time if the
initial distribution is nonnegative. Numerical experiments demonstrate the
efficiency of our difference scheme near the ends of the interval where the
degeneration occurs.