title: An Extended Fano's Inequality for the Finite Blocklength Coding

abstract:
  Fano's inequality reveals the relation between the conditional entropy and
the probability of error . It has been the key tool in proving the converse of
coding theorems in the past sixty years. In this paper, an extended Fano's
inequality is proposed, which is tighter and more applicable for codings in the
finite blocklength regime. Lower bounds on the mutual information and an upper
bound on the codebook size are also given, which are shown to be tighter than
the original Fano's inequality. Especially, the extended Fano's inequality is
tight for some symmetric channels such as the $q$-ary symmetric channels (QSC).


title:
Experimental demonstration of interaction-free all-optical switching via
  the quantum Zeno effect

abstract:
  We experimentally demonstrate all-optical interaction-free switching using
the quantum Zeno effect, achieving a high contrast of 35:1. The experimental
data matches a zero-parameter theoretical model for several different regimes
of operation, indicating a good understanding of the switch's characteristics.
We also discuss extensions of this work that will allow for significantly
improved performance, and the integration of this technology onto chip-scale
devices.


title: Minuscule Schubert Varieties and Mirror Symmetry

abstract:
  We consider smooth complete intersection Calabi-Yau 3-folds in minuscule
Schubert varieties, and study their mirror symmetry by degenerating the ambient
Schubert varieties to Hibi toric varieties. We list all possible Calabi-Yau
3-folds of this type up to deformation equivalences, and find a new example of
smooth Calabi-Yau 3-folds of Picard number one; a complete intersection in a
locally factorial Schubert variety ${\boldsymbol{\Sigma}}$ of the Cayley plane
${\mathbb{OP}}^2$. We calculate topological invariants and BPS numbers of this
Calabi-Yau 3-fold and conjecture that it has a non-trivial Fourier-Mukai
partner.


abstract:
  In this paper, we study a relation between Seshadri constants and degrees of
defining polynomials. In particular, we compute the Seshadri constants on Fano
varieties obtained as complete intersections in rational homogeneous spaces of
Picard number one.


title: Fluctuation theorem and natural time analysis

abstract:
  Upon employing a natural time window of fixed length sliding through a time
series, an explicit interrelation between the variability $\beta$ of the
variance $\kappa_1$($=< \chi^2 > - < \chi >^2$) of natural time $\chi$ and
events' correlations is obtained. In addition, we investigate the application
of the fluctuation theorem, which is a general result for systems far from
equilibrium, to the variability $\beta$. We consider for example, major
earthquakes that are nonequilibrium critical phenomena. We find that four (out
of five) mainshocks in California during 1979-2003 were preceded by $\beta$
minima lower than the relative thresholds deduced from the fluctuation theorem,
thus signalling an impending major event.


title:
Current-field diagram of magnetic states of a surface spin valve in a
  point contact with a single ferromagnetic film

abstract:
  We present a study of the influence of an external magnetic field H and an
electric current I on the spin-valve (SV) effect between a ferromagnetic thin
film (F) and a sharp tip of a nonmagnetic metal (N). To explain our
observations, we propose a model of a local surface SV which is formed in such
a N/F contact. In this model, a ferromagnetic cluster at the N/F interface
plays the role of the free layer in this SV. This cluster exhibits a larger
coercive field than the bulk of the ferromagnetic film, presumably due to its
nanoscale nature. Finally, we construct a magnetic state diagram of the surface
SV as a function of I and H.


title: Lattice and Heegaard-Floer homologies of algebraic links

abstract:
  We compute the Heegaard-Floer link homology of algebraic links in terms of
the multivariate Hilbert function of the corresponding plane curve
singularities. The main result of the paper identifies four homologies: (a) the
Heegaard-Floer link homology of the local embedded link of the germ, (b) the
lattice homology associated with the Hilbert function, (c) the homologies of
the projectivized complements of local hyperplane arrangements cut out from the
local algebra, and (d) a certain variant of the Orlik-Solomon algebra of these
local arrangements. In particular, the Poincar\'e polynomials of all these
homology groups are the same, and we also show that they agree with the
coefficients of the motivic Poincar\'e series of the singularity.


title: Medial symmetry type graphs

abstract:
  A $k$-orbit map is a map with its automorphism group partitioning the set of
flags into $k$ orbits. Recently $k$-orbit maps were studied by Orbani\' c,
Pellicer and Weiss, for $k \leq 4$. In this paper we use symmetry type graphs
to extend such study and classify all the types of $5$-orbit maps, as well as
all self-dual, properly and improperly, symmetry type of $k$-orbit maps with
$k\leq 7$. Moreover, we determine, for small values of $k$, all types of
$k$-orbits maps that are medial maps. Self-dualities constitute an important
tool in this quest.


title:
On ergodic least-squares estimators of the generalized diffusion
  coefficient for fractional Brownian motion

abstract:
  We analyse a class of estimators of the generalized diffusion coefficient for
fractional Brownian motion $B_t$ of known Hurst index $H$, based on weighted
functionals of the single time square displacement. We show that for a certain
choice of the weight function these functionals possess an ergodic property and
thus provide the true, ensemble-averaged, generalized diffusion coefficient to
any necessary precision from a single trajectory data, but at expense of a
progressively higher experimental resolution. Convergence is fastest around
$H\simeq0.30$, a value in the subdiffusive regime.


title: On the real matrix representation of PT-symmetric operators

abstract:
  We discuss the construction of real matrix representations of PT-symmetric
operators. We show the limitation of a general recipe presented some time ago
for non-Hermitian Hamiltonians with antiunitary symmetry and propose a way to
overcome it. Our results agree with earlier ones for a particular case.


title:
Change of theta dependence in 4D SU(N) gauge theories across the
  deconfinement transition

abstract:
  We investigate the dependence of four-dimensional SU(N) gauge theories on the
topological theta term at finite temperature and, in particular, across the
deconfinement transition. For this purpose, we exploit the lattice formulation
of the theory and present numerical results for the expansion of the free
energy up to O(theta^6), for N=3 and N=6.
  Our numerical analysis shows that the theta dependence of 4D SU(N) gauge
theory experiences a drastic change across the deconfinement transition: the
low-temperature phase is characterized by a large-N scaling with theta/N as
relevant variable, while in the high-temperature phase the scaling variable is
just theta and the free energy is essentially determined by the instanton-gas
approximation. The crossover between the two different behaviours gets sharper
with increasing N, suggesting that the instanton-gas regime sets in just above
Tc at large N.


title:
Multi-scale Discriminant Saliency with Wavelet-based Hidden Markov Tree
  Modelling

abstract:
  The bottom-up saliency, an early stage of humans' visual attention, can be
considered as a binary classification problem between centre and surround
classes. Discriminant power of features for the classification is measured as
mutual information between distributions of image features and corresponding
classes . As the estimated discrepancy very much depends on considered scale
level, multi-scale structure and discriminant power are integrated by employing
discrete wavelet features and Hidden Markov Tree (HMT). With wavelet
coefficients and Hidden Markov Tree parameters, quad-tree like label structures
are constructed and utilized in maximum a posterior probability (MAP) of hidden
class variables at corresponding dyadic sub-squares. Then, a saliency value for
each square block at each scale level is computed with discriminant power
principle. Finally, across multiple scales is integrated the final saliency map
by an information maximization rule. Both standard quantitative tools such as
NSS, LCC, AUC and qualitative assessments are used for evaluating the proposed
multi-scale discriminant saliency (MDIS) method against the well-know
information based approach AIM on its released image collection with
eye-tracking data. Simulation results are presented and analysed to verify the
validity of MDIS as well as point out its limitation for further research
direction.


title: Seismic metamaterial: how to shake friends and influence waves?

abstract:
  Materials engineered at the micro- and nano-meter scale have had a tremendous
and lasting impact in photonics and phononics, with applications ranging from
periodic structures disallowing light and sound propagation at stop band
frequencies, to subwavelength focussing and cloaking with metamaterials. Here,
we present the description of a seismic test held on a soil structured at the
meter scale using vibrocompaction probes. The most simplistic way to interact
with a seismic wave is to modify the global properties of the medium, acting on
the soil density and then on the wave velocity. The main concept is then to
reduce the amplification of seismic waves at the free surface, called site
effects in earthquake engineering. However, an alternative way to counteract
the seismic signal is by modifying the distribution of seismic energy thanks to
a metamaterial made of a grid of vertical, cylindrical and empty inclusions
bored in the initial soil, in agreement with numerical simulations using an
approximate plate model.


title: Phishing, Personality Traits and Facebook

abstract:
  Phishing attacks have become an increasing threat to online users. Recent
research has begun to focus on the factors that cause people to respond to
them. Our study examines the correlation between the Big Five personality
traits and email phishing response. We also examine how these factors affect
users behavior on Facebook, including posting personal information and choosing
Facebook privacy settings.
  Our research shows that when using a prize phishing email, we find a strong
correlation between gender and the response to the phishing email. In addition,
we find that the neuroticism is the factor most correlated to responding to
this email. Our study also found that people who score high on the openness
factor tend to both post more information on Facebook as well as have less
strict privacy settings, which may cause them to be susceptible to privacy
attacks. In addition, our work detected no correlation between the participants
estimate of being vulnerable to phishing attacks and actually being phished,
which suggests susceptibility to phishing is not due to lack of awareness of
the phishing risks and that realtime response to phishing is hard to predict in
advance by online users.
  We believe that better understanding of the traits which contribute to online
vulnerability can help develop methods for increasing users privacy and
security in the future.


title:
Adaptive estimation of the density matrix in quantum homodyne tomography
  with noisy data

abstract:
  In the framework of noisy quantum homodyne tomography with efficiency
parameter $1/2 < \eta \leq 1$, we propose a novel estimator of a quantum state
whose density matrix elements $\rho_{m,n}$ decrease like $Ce^{-B(m+n)^{r/ 2}}$,
for fixed $C\geq 1$, $B>0$ and $0<r\leq 2$. On the contrary to previous works,
we focus on the case where $r$, $C$ and $B$ are unknown. The procedure
estimates the matrix coefficients by a projection method on the pattern
functions, and then by soft-thresholding the estimated coefficients.
  We prove that under the $\mathbb{L}_2$ -loss our procedure is adaptive
rate-optimal, in the sense that it achieves the same rate of conversgence as
the best possible procedure relying on the knowledge of $(r,B,C)$. Finite
sample behaviour of our adaptive procedure are explored through numerical
experiments.


title: Effective gluon potential and Yang-Mills thermodynamics

abstract:
  We derive the Polyakov-loop thermodynamic potential in the perturbative
approach to pure SU(3) Yang-Mills theory. The potential expressed in terms of
the Polyakov loop in the fundamental representation corresponds to that of the
strong-coupling expansion, of which the relevant coefficients of the gluon
energy distribution are specified by characters of the SU(3) group. At high
temperature, the potential exhibits the correct asymptotic behavior, whereas at
low temperature, it disfavors gluons as appropriate dynamical degrees of
freedom. To quantify the Yang-Mills thermodynamics in confined phase, we
introduce a hybrid approach which matches the effective gluon potential to that
of glueballs, constrained by the QCD trace anomaly in terms of dilaton fields.


title:
Conformally invariant formalism for the electromagnetic field with
  currents in Robertson-Walker spaces

abstract:
  We show that the Laplace-Beltrami equation $\square_6 a =j$ in
$(\setR^6,\eta)$, $\eta := \mathrm{diag}(+----+)$, leads under very moderate
assumptions to both the Maxwell equations and the conformal Eastwood-Singer
gauge condition on conformally flat spaces including the spaces with a
Robertson-Walker metric. This result is obtained through a geometric formalism
which gives, as byproduct, simplified calculations. In particular, we build an
atlas for all the conformally flat spaces considered which allows us to fully
exploit the Weyl rescalling to Minkowski space.


title: Compl\'et\'es universels de repr\'esentations de GL_2(Q_p)

abstract:
  Let Pi be a unitary representation of GL_2(Q_p), topologically of finite
length. We describe the sub-representation Pi^{an} made of its locally analytic
vectors, and its filtration by radius of analyticity, in terms of the phi-Gamma
module attached to Pi via the p-adic local Langlands correspondence, and we
deduce that the universal completion of Pi^{an} is Pi itself.


title: An ageing study of resistive micromegas for the HL-LHC environment

abstract:
  Resistive-anode micromegas detectors are in development since several years,
in an effort to solve the problem of sparks when working at high flux and high
ionizing radiation like in the HL-LHC (up to ten times the luminosity of the
LHC). They have been chosen as one of the technologies that will be part of the
ATLAS New Small Wheel project (forward muon system). An ageing study is
mandatory to assess their capabilities to handle the HL-LHC environment on a
long-term period. A prototype has been exposed to several types of irradiation
(X-rays, cold neutrons, $^{60}$Co gammas and alphas) above the equivalent
charge produced at the detector in five HL-LHC running years without showing
any degradation of the performances in terms of gain and energy resolution.
This study has been completed with the characterization of the tracking
performances in terms of efficiency and spatial resolution, verifying the
compatibility of results obtained with both resistive micromegas detectors,
irradiated and non-irradiated one.


title: Eigenfunctions for rectangles with Neumann boundary conditions

abstract:
  Consider the eigenfunctions $u$ for a ree rectangular membrane wo that
$-\Delta u=\lambda u$ on $\mathcal R(c,d)=(0,d)\times(0,d)$. In this note we
show that if if $u>0$ on $\partial \mathcal R(c,d)) then $u\equiv C$ for some
positive constant.


title: On the Acceleration of the Multi-Level Monte Carlo Method

abstract:
  The multi-level Monte Carlo method proposed by M. Giles (2008) approximates
the expectation of some functionals applied to a stochastic process with
optimal order of convergence for the mean-square error. In this paper, a
modified multi-level Monte Carlo estimator is proposed with significantly
reduced computational costs. As the main result, it is proved that the modified
estimator reduces the computational costs asymptotically by a factor
$(p/\alpha)^2$ if weak approximation methods of orders $\alpha$ and $p$ are
applied in case of computational costs growing with same order as variances
decay.


title: Some divisibility properties of binomial and q-binomial coefficients

abstract:
  We first prove that if $a$ has a prime factor not dividing $b$ then there are
infinitely many positive integers $n$ such that $\binom {an+bn} {an}$ is not
divisible by $bn+1$. This confirms a recent conjecture of Z.-W. Sun. Moreover,
we provide some new divisibility properties of binomial coefficients: for
example, we prove that $\binom {12n} {3n}$ and $\binom {12n} {4n}$ are
divisible by $6n-1$, and that $\binom {330n} {88n}$ is divisible by $66n-1$,
for all positive integers $n$. As we show, the latter results are in fact
consequences of divisibility and positivity results for quotients of
$q$-binomial coefficients by $q$-integers, generalizing the positivity of
$q$-Catalan numbers. We also put forward several related conjectures.


title: Relativistic Finsler geometry

abstract:
  We briefly review some basic concepts of parallel displacement in Finsler
geometry. In general relativity, the parallel translation of objects along the
congruence of the fundamental observer corresponds to the evolution in time. By
dropping the quadratic restriction on the measurement of an infinitesimal
distance, the geometry is generalized to a Finsler structure. Apart from
curvature a new property of the manifold complicates the geometrodynamics, the
color. The color brings forth an intrinsic local anisotropy and many quantities
depend on position and to a "supporting" direction. We discuss this direction
dependence and some physical interpretations. Also, we highlight that in
Finsler geometry the parallel displacement isn't necessarily always along the
"supporting" direction. The latter is a fundamental congruence of the manifold
and induces a natural 1+3 decomposition. Its internal deformation is given
through the evolution of the irreducible components of vorticity, shear and
expansion.


title:
Moulding flexural waves in elastic plates lying atop a Faqir's bed of
  nails

abstract:
  Platonic crystals (PCs) are the elastic plate analogue of the photonic
crystals widely used in optics, and are thin structured elastic plates along
which flexural waves cannot propagate within certain stop band frequency
intervals. The practical importance of PCs is twofold: these can be used either
in the design of microstructured acoustic metamaterials or as an approximate
model for surface elastic waves propagating in meter scale seismic
metamaterials. Here, we make use of the band spectrum of PCs created with very
small clamped holes, the nails of the title, to achieve surface wave reflectors
at very large wavelengths, a flat lens, an endoscope, a directive antenna near
stop band frequencies and cloaking from Dirac cones. The point pinned, Faqir,
plate is particularly appealing as there is an exact dispersion relation
available so the origin of these phenomena can be explained and interpreted
using Fourier series and high frequency homogenization.


title: Properties of CP Violation in Neutrino-Antineutrino Oscillations

abstract:
  If the massive neutrinos are the Majorana particles, how to pin down the
Majorana CP-violating phases will eventually become an unavoidable question
relevant to the future neutrino experiments. We argue that a study of
neutrino-antineutrino oscillations will greatly help in this regard, although
the issue remains purely academic at present. In this work we first derive the
probabilities and CP-violating asymmetries of neutrino-antineutrino
oscillations in the three-flavor framework, and then illustrate their
properties in two special cases: the normal neutrino mass hierarchy with m_1 =
0 and the inverted neutrino mass hierarchy with m_3 = 0. We demonstrate the
significant contributions of the Majorana phases to the CP-violating
asymmetries, even in the absence of the Dirac phase.


title:
Electronic structure of vacancy-ordered iron-selenide
  K$_{0.5}$Fe$_{1.75}$Se$_2$

abstract:
  The electronic structure of the vacancy-ordered K$_{0.5}$Fe$_{1.75}$Se$_2$
iron-selenide compound (278 phase) is studied using the first-principles
density functional method. The ground state of the 278 phase is stripe-like
antiferromagnetic, and its bare electron susceptibility shows a large peak
around $(\pi, \pi)$ in the folded Brillouin zone. Near Fermi level, the density
of states are dominated by the Fe-3d orbitals, and both electron-like and
hole-like Fermi surfaces appear in the Brillouin zone. Unfolded band structure
shows limited similarities to a hole doped 122 phase. With 0.1e electron
doping, the susceptibility peak is quickly suppressed and broadened; while the
two-dimensionality of the electron-like Fermi surfaces are greatly enhanced,
resulting in a better nesting behavior. Our study should be relevant to the
recently reported superconducting phase K$_{0.5+x}$Fe$_{1.75+y}$Se$_2$ with
both $x$ and $y$ very tiny.


title: What Else Did V. M. Slipher Do?

abstract:
  When V. M. Slipher gave the 1933 George Darwin lecture to the Royal
Astronomical Society, it was natural that he spoke on spectrographic studies of
planets. Less than one-sixth of his published work deals with globular clusters
and the objects we now call galaxies. In his most productive years, when he had
Percival Lowell to give him direction, Slipher made major discoveries regarding
stars, galactic nebulae, and solar system objects. These included the first
spectroscopic measurement of the rotation period of Uranus, evidence that
Venus's rotation is very slow, the existence of reflection nebulae and hence
interstellar dust, and the stationary lines that prove the existence of
interstellar calcium and sodium. After Lowell's death in 1916 Slipher continued
making spectroscopic observations of planets, comets, and the aurora and night
sky. He directed the Lowell Observatory from 1916 to 1954, where his greatest
achievements were keeping the observatory running despite very limited staff
and budget, and initiating and supervising the "successful" search for Lowell's
Planet X. However, he did little science in his last decades, spending most of
his time and energy on business endeavors.


title:
Energy-Efficient Power Allocation in OFDM Systems with Wireless
  Information and Power Transfer

abstract:
  This paper considers an orthogonal frequency division multiplexing (OFDM)
downlink point-to-point system with simultaneous wireless information and power
transfer. It is assumed that the receiver is able to harvest energy from noise,
interference, and the desired signals.
  We study the design of power allocation algorithms maximizing the energy
efficiency of data transmission (bit/Joule delivered to the receiver). In
particular, the algorithm design is formulated as a high-dimensional non-convex
optimization problem which takes into account the circuit power consumption,
the minimum required data rate, and a constraint on the minimum power delivered
to the receiver. Subsequently, by exploiting the properties of nonlinear
fractional programming, the considered non-convex optimization problem, whose
objective function is in fractional form, is transformed into an equivalent
optimization problem having an objective function in subtractive form, which
enables the derivation of an efficient iterative power allocation algorithm. In
each iteration, the optimal power allocation solution is derived based on dual
decomposition and a one-dimensional search. Simulation results illustrate that
the proposed iterative power allocation algorithm converges to the optimal
solution, and unveil the trade-off between energy efficiency, system capacity,
and wireless power transfer: (1) In the low transmit power regime, maximizing
the system capacity may maximize the energy efficiency. (2) Wireless power
transfer can enhance the energy efficiency, especially in the interference
limited regime.


title:
Nesting and lifetime effects in the FFLO state of quasi-one-dimensional
  imbalanced Fermi gases

abstract:
  Motivated by the recent experimental realization of a candidate to the
Fulde-Ferrell (FF) and the Larkin-Ovchinnikov (LO) states in one dimensional
(1D) atomic Fermi gases, we study the quantum phase transitions in these
enigmatic, finite momentum-paired superfluids. We focus on the FF state and
investigate the effects of the induced interaction on the stability of the FFLO
phase in homogeneous spin-imbalanced quasi-1D Fermi gases at zero temperature.
When this is taken into account we find a direct transition from the fully
polarized to the FFLO state. Also, we consider the effect of a finite lifetime
of the quasi-particles states in the normal-superfluid instability. In the
limit of long lifetimes, the lifetime effect is irrelevant and the transition
is directly from the fully polarized to the FFLO state. We show, however, that
for sufficiently short lifetimes there is a quantum critical point (QCP), at a
finite value of the mismatch of the Fermi wave-vectors of the different
quasi-particles, that we fully characterize. In this case the transition is
from the FFLO phase to a normal partially polarized state with increasing
mismatch.


title:
Extremal Problems in Bergman Spaces and an Extension of Ryabykh's
  Theorem

abstract:
  We study linear extremal problems in the Bergman space $A^p$ of the unit disc
for $p$ an even integer. Given a functional on the dual space of $A^p$ with
representing kernel $k \in A^q$, where $1/p + 1/q = 1$, we show that if the
Taylor coefficients of $k$ are sufficiently small, then the extremal function
$F \in H^{\infty}$. We also show that if $q \le q_1 < \infty$, then $F \in
H^{(p-1)q_1}$ if and only if $k \in H^{q_1}$. These results extend and provide
a partial converse to a theorem of Ryabykh.


title: Backgrounds in H->WW*->lvlv with ATLAS

abstract:
  We present techniques used to estimate the backgrounds in the search for the
Standard Model Higgs boson in the H->WW*->lvlv decay channel with the ATLAS
experiment at the LHC. The dataset corresponds to 13 fb-1 of integrated
luminosity taken at a center of mass energy of 8 TeV. Only the final states
with an electron, muon, and zero or one jet are presented here.


title:
Fast non parametric entropy estimation for spatial-temporal saliency
  method

abstract:
  This paper formulates bottom-up visual saliency as center surround
conditional entropy and presents a fast and efficient technique for the
computation of such a saliency map. It is shown that the new saliency
formulation is consistent with self-information based saliency,
decision-theoretic saliency and Bayesian definition of surprises but also faces
the same significant computational challenge of estimating probability density
in very high dimensional spaces with limited samples. We have developed a fast
and efficient nonparametric method to make the practical implementation of
these types of saliency maps possible. By aligning pixels from the center and
surround regions and treating their location coordinates as random variables,
we use a k-d partitioning method to efficiently estimating the center surround
conditional entropy. We present experimental results on two publicly available
eye tracking still image databases and show that the new technique is
competitive with state of the art bottom-up saliency computational methods. We
have also extended the technique to compute spatiotemporal visual saliency of
video and evaluate the bottom-up spatiotemporal saliency against eye tracking
data on a video taken onboard a moving vehicle with the driver's eye being
tracked by a head mounted eye-tracker.


title:
Elementary methods for evaluating Jordan's sums and analogous Euler's
  type sums and for setting a sigma sum theorem

abstract:
  We give a complete and elementary proofs of "Jordan's sums" and study Euler's
types sums. In particular we give a formula for the sum of series with same
weight, which is similar to this one of classical 2-Euler's sums.


title: Derived category invariants and L-series

abstract:
  We relate invariants in derived categories associated to tame actions of
finite groups on projective varieties over a finite field to zeros of
L-functions


title:
Approximate Optimal Trajectory Tracking for Continuous Time Nonlinear
  Systems

abstract:
  Approximate dynamic programming has been investigated and used as a method to
approximately solve optimal regulation problems. However, the extension of this
technique to optimal tracking problems for continuous time nonlinear systems
has remained a non-trivial open problem. The control development in this paper
guarantees ultimately bounded tracking of a desired trajectory, while also
ensuring that the controller converges to an approximate optimal policy.


title: The classification of 4-dimensional Leibniz algebras

abstract:
  This paper is a contribution to the development of the non associative
algebras theory. More precisely, this work deals with the classification of the
complex 4-dimensional Leibniz algebras. Note that the classification of
4-dimensional nilpotent complex Leibniz algebras was obtained in [1]. Therefore
we will only consider non nilpotent case in this work.


title: Spectrum of the d-bar Neumann Laplacian on the Fock space

abstract:
  The spectrum of the d-bar-Neumann Laplacian on the Fock space
$L^2(\mathbb{C}^n, e^{-|z|^2})$ is explicitly computed. It turns out that it
consists of positive integer eigenvalues each of which is of infinite
multiplicity. Spectral analysis of the d-bar-Neumann Laplacian on the Fock
space is closely related to Schr\"odinger operators with magnetic field and to
the complex Witten-Laplacian.


title:
Influence by zirconium plastic deformation at temperature of 4.2 K on
  zirconium crystal lattice structure and magnitude of superconducting
  transition temperature Tc

abstract:
  We have researched the effect of the zirconium deformation by the extension
at the temperature of 4.2 K, with the subsequent heating up to the room
temperature of 300 K, on both the zirconium crystal grating structure and the
magnitude of superconducting transition temperature Tc, using the zirconium
samples, synthesized by the method of the electron beam melting. In our
opinion, a registered substantial increase of the critical temperature Tc (by
20%) is a result of both the superconductivity enhancement in the plastic
deformation regions at the twin boundaries of the zirconium crystal grating and
the effective change of the inter-electron attraction constant magnitude.


title:
Corona-type theorems and division in some function algebras on planar
  domains

abstract:
  Let $A$ be an algebra of bounded smooth functions on the interior of a
compact set in the plane. We study the following problem: if
$f,f_1,\dots,f_n\in A$ satisfy $|f|\leq \sum_{j=1}^n |f_j|$, does there exist
$g_j\in A$ and a constant $N\in\N$ such that $f^N=\sum_{j=1}^n g_j f_j$? A
prominent role in our proofs is played by a new space, $C_{\dbar, 1}(K)$, which
we call the algebra of $\dbar$-smooth functions.
  In the case $n=1$, a complete solution is given for the algebras $A^m(K)$ of
functions holomorphic in $K^\circ$ and whose first $m$-derivatives extend
continuously to $\ov{K^\circ}$. This necessitates the introduction of a special
class of compacta, the so-called locally L-connected sets.
  We also present another constructive proof of the Nullstellensatz for $A(K)$,
that is only based on elementary $\dbar$-calculus and Wolff's method.


title: Extending the logical update view with transaction support

abstract:
  Since the database update view was standardised in the Prolog ISO standard,
the so called logical update view is available in all actively maintained
Prolog systems. While this update view provided a well defined update semantics
and allows for efficient handling of dynamic code, it does not help in
maintaining consistency of the dynamic database. With the introduction of
multiple threads and deployment of Prolog in continuously running server
applications, consistency of the dynamic database becomes important.
  In this article, we propose an extension to the generation-based
implementation of the logical update view that supports transactions.
Generation-based transactions have been implemented according to this
description in the SWI-Prolog RDF store. The aim of this paper is to motivate
transactions, outline an implementation and generate discussion on the
desirable semantics and interface prior to implementation.


title: Excited spectroscopy of charmed mesons from lattice QCD

abstract:
  We present spectra of highly excited D and Ds mesons up to around 3.8 GeV
determined using dynamical lattice QCD. We employ novel computational
techniques and the variational method with a large basis of carefully
constructed operators in order to extract and reliably identify the continuum
spin of an extensive set of excited states. These include states with high spin
and states identified as having an explicit gluonic contribution. Calculations
were performed on two volumes, both with a pion mass of approximately 400 MeV,
achieving a high statistical precision for both ground and excited states. We
discuss our results in light of experimental observations, comment on the
phenomenological implications and identify the lightest `supermultiplet' of
hybrid mesons in each sector.


title: The Hamiltonian Form of Topologically Massive Supergravity

abstract:
  We construct a "Chern-Simons-like" action for N=1 Topologically Massive
Supergravity from the Chern-Simons actions of N=1 Supergravity and Conformal
Supergravity. We convert this action into Hamiltonian form and use this to
demonstrate that the theory propagates a single massive (2, 3/2)
supermultiplet.


title: Absence of spin liquid in non-frustrated correlated systems

abstract:
  The question of the existence of a spin liquid state in the half-filled
Hubbard model on the honeycomb (aka graphene) lattice is revisited. The
Variational Cluster Approximation (VCA), the Cluster Dynamical Mean Field
Theory (CDMFT) and the Cluster Dynamical Impurity Approximation (CDIA) are
applied to various cluster systems. Assuming that the spin liquid phase
coincides with the Mott insulating phase in this non-frustrated system, we find
that the Mott transition is pre-empted by a magnetic transition occuring at a
lower value of the interaction $U$, and therefore the spin liquid phase does
not occur. This conclusion is obtained using clusters with two bath orbitals
connected to each boundary cluster site. We argue that using a single bath
orbital per boundary site is insufficient and leads to the erroneous conclusion
that the system is gapped for all nonzero values of $U$.


title:
Toward a Dynamic Programming Solution for the 4-peg Tower of Hanoi
  Problem with Configurations

abstract:
  The Frame-Stewart algorithm for the 4-peg variant of the Tower of Hanoi,
introduced in 1941, partitions disks into intermediate towers before moving the
remaining disks to their destination. Algorithms that partition the disks have
not been proven to be optimal, although they have been verified for up to 30
disks. This paper presents a dynamic programming approach to this algorithm,
using tabling in B-Prolog. This study uses a variation of the problem,
involving configurations of disks, in order to contrast the tabling approach
with the approaches utilized by other solvers. A comparison of different
partitioning locations for the Frame-Stewart algorithm indicates that, although
certain partitions are optimal for the classic problem, they need to be
modified for certain configurations, and that random configurations might
require an entirely new algorithm.


title: Core-shift and spectral analysis of the 2006 radio flare in CTA102

abstract:
  The 2006 radio flare in the blazar CTA102 is the largest ever reported for
this source. The analysis of the single--dish light curves revealed a possible
shock-shock interaction as a scenario for the 2006 outburst. In order to
confirm this hypothesis we analyzed eight multi-frequency (2 GHz - 86 GHz) VLBI
observations covering the 2006 flare. We detected a radio component ejected
around 2005.9 and a stationary feature around 0.1 mas away from the core. We
also performed a core-shift and spectral analysis on the fully calibrated VLBI
maps. The frequency dependent position of the core slightly deviates from the
typical $\nu^{-1}$-dependence during the flaring state. This behaviour may
reflect a mismatch between magnetic energy density and energy density of the
relativistic particles. From the core-shift corrected maps we obtained the
spectral parameters and computed the temporal and spatial evolution of the jet
intrinsic parameters such as the magnetic field and the particle density. The
overall picture of the source could be best interpreted as an over-pressured
jet perturbed by traveling shock waves.


title:
Symmetry-protected topological invariants of symmetry-protected
  topological phases of interacting bosons and fermions

abstract:
  Recently, it was realized that quantum states of matter can be classified as
long-range entangled (LRE) states (i.e. with non-trivial topological order) and
short-range entangled (SRE) states (\ie with trivial topological order). We can
use group cohomology class ${\cal H}^d(SG,R/Z)$ to systematically describe the
SRE states with a symmetry $SG$ [referred as symmetry-protected trivial (SPT)
or symmetry-protected topological (SPT) states] in $d$-dimensional space-time.
In this paper, we study the physical properties of those SPT states, such as
the fractionalization of the quantum numbers of the global symmetry on some
designed point defects, and the appearance of fractionalized SPT states on some
designed defect lines/membranes. Those physical properties are SPT invariants
of the SPT states which allow us to experimentally or numerically detect those
SPT states, i.e. to measure the elements in ${\cal H}^d(G, R/Z)$ that label
different SPT states. For example, 2+1D bosonic SPT states with $Z_n$ symmetry
are classified by a $Z_n$ integer $m \in {\cal H}^3(Z_n, R/Z)=Z_n$. We find
that $n$ identical monodromy defects, in a $Z_n$ SPT state labeled by $m$,
carry a total $Z_n$-charge $2m$ (which is not a multiple of $n$ in general).


title: Efficient Partial Order CDCL Using Assertion Level Choice Heuristics

abstract:
  We previously designed Partial Order Conflict Driven Clause Learning
(PO-CDCL), a variation of the satisfiability solving CDCL algorithm with a
partial order on decision levels, and showed that it can speed up the solving
on problems with a high independence between decision levels. In this paper, we
more thoroughly analyze the reasons of the efficiency of PO-CDCL. Of particular
importance is that the partial order introduces several candidates for the
assertion level. By evaluating different heuristics for this choice, we show
that the assertion level selection has an important impact on solving and that
a carefully designed heuristic can significantly improve performances on
relevant benchmarks.


title:
Locating the gamma-ray emission region of the flat spectrum radio quasar
  PKS 1510-089

abstract:
  I present a study of the high-energy gamma-ray properties of the flat
spectrum radio quasar, PKS 1510-089, based on 3.75 years of observations with
the Large Area Telescope (LAT) detector on-board the Fermi gamma-ray Space
Telescope. Throughout the observing period, the 0.1 GeV < E < 300 GeV gamma-ray
flux was highly variable, undergoing several flaring events where the daily
flux exceeded 10^{-5} photons cm^{-2} s^{-1} on 3 separate occasions. The
increased photon statistics of these large flares allowed the observations to
be re-analysed in 6 and 3 hour intervals, revealing flux doubling timescales as
small as 1.3\pm0.12 hours during the flare rise time, and flux halving
timescales of 1.21\pm0.15 hours during the flare decay. These are the smallest
variability timescales measured to date at MeV-GeV energies for the Flat
Spectrum Radio Quasar class of Active Galactic Nuclei.
  The >10^{-5} photons cm^{-2} s^{-1} flare events were also studied in more
detail in an attempt to uncover evidence for the location of PKS 1510-089's
gamma-ray emission region. In particular, two approaches were used: (i)
searching for an energy dependence to the cooling timescales, and (ii)
searching for evidence of a spectral cut-off. Furthermore, an analysis of the
highest photon events within the 3.75 year data set finds PKS 1510-089 to be a
source of >20 GeV gamma-rays at the 13.5\sigma confidence level; a
observational property which is difficult to explain in the traditional view
that gamma-ray emission from Active Galactic Nuclei originates from the base of
the relativistic jet.
  The combined results of these two approaches, along with the confirmation of
>20 GeV photon flux from PKS 1510-089, suggest the presence of multiple
gamma-ray emission regions being located in both the broad line region and
molecular torus region of PKS 1510-089.


title:
Field lines twisting in a noisy corona: implications for energy storage
  and release, and initiation of solar eruptions

abstract:
  We present simulations modeling closed regions of the solar corona threaded
by a strong magnetic field where localized photospheric vortical motions twist
the coronal field lines. The linear and nonlinear dynamics are investigated in
the reduced magnetohydrodynamic regime in Cartesian geometry. Initially the
magnetic field lines get twisted and the system becomes unstable to the
internal kink mode, confirming and extending previous results. As typical in
this kind of investigations, where initial conditions implement smooth fields
and flux-tubes, we have neglected fluctuations and the fields are laminar until
the instability sets in. But previous investigations indicate that
fluctuations, excited by photospheric motions and coronal dynamics, are
naturally present at all scales in the coronal fields. Thus, in order to
understand the effect of a photospheric vortex on a more realistic corona, we
continue the simulations after kink instability sets in, when turbulent
fluctuations have already developed in the corona. In the nonlinear stage the
system never returns to the simple initial state with ordered twisted field
lines, and kink instability does not occur again. Nevertheless field lines get
twisted, but in a disordered way, and energy accumulates at large scales
through an inverse cascade. This energy can subsequently be released in
micro-flares or larger flares, when interaction with neighboring structures
occurs or via other mechanisms. The impact on coronal dynamics and CMEs
initiation is discussed.


title:
Observation of Instabilities of Coherent Transverse Ocillations in the
  Fermilab Booster

abstract:
  The Fermilab Booster - built more than 40 years ago - operates well above the
design proton beam intensity of 4x10**12 ppp. Still, the Fermilab neutrino
experiments call for even higher intensity of 5.5x10**12 ppp. A multitude of
intensity related effects must be overcome in order to meet this goal including
suppression of coherent dipole instabilities of transverse oscillations which
manifest themselves as a sudden drop in the beam current. In this report we
present the results of observation of these instabilities at different tune,
coupling and chromaticity settings and discuss possible cures.


title: Efficient Support for Mode-Directed Tabling in the YapTab Tabling System

abstract:
  Mode-directed tabling is an extension to the tabling technique that supports
the definition of mode operators for specifying how answers are inserted into
the table space. In this paper, we focus our discussion on the efficient
support for mode directed-tabling in the YapTab tabling system. We discuss 7
different mode operators and explain how we have extended and optimized
YapTab's table space organization to support them. Initial experimental results
show that our implementation compares favorably with the B-Prolog and XSB
state-of-the-art Prolog tabling systems.


title:
Multiple steady-states in nonequilibrium quantum systems with
  electron-phonon interactions

abstract:
  The existence of more than one steady-state in a many-body quantum system
driven out-of-equilibrium has been a matter of debate, both in the context of
simple impurity models and in the case of inelastic tunneling channels. In this
Letter, we combine a reduced density matrix formalism with the multilayer
multiconfiguration time-dependent Hartree method to address this problem. This
allows to obtain a converged numerical solution of the nonequilibrium dynamics.
Considering a generic model for quantum transport through a quantum dot with
electron-phonon interaction, we prove that a unique steady-state exists
regardless of the initial electronic preparation of the quantum dot consistent
with the converged numerical results. However, a bistability can be observed
for different initial phonon preparations. The effects of the phonon frequency
and strength of the electron-phonon couplings on the relaxation to steady-state
and on the emergence of bistability is discussed.


title: Mobility, fitness collection, and the breakdown of cooperation

abstract:
  The spatial arrangement of individuals is thought to overcome the dilemma of
cooperation: When cooperators engage in clusters they might share the benefit
of cooperation while being more protected against non-cooperating individuals,
which benefit from cooperation but save the cost of cooperation. This is
paradigmatically shown by the spatial prisoner's dilemma model. Here, we study
this model in one and two spatial dimensions, but explicitly take into account
that in biological setups fitness collection and selection are separated
processes occurring mostly on vastly different time scales. This separation is
particularly important to understand the impact of mobility on the evolution of
cooperation. We find that even small diffusive mobility strongly restricts
cooperation since it enables non-cooperative individuals to invade cooperative
clusters. Thus, in most biological scenarios, where the mobility of competing
individuals is an irrefutable fact, the spatial prisoner's dilemma alone cannot
explain stable cooperation but additional mechanisms are necessary for spatial
structure to promote the evolution of cooperation. The breakdown of cooperation
is analyzed in detail. We confirm the existence of a phase transition, here
controlled by mobility and costs, which distinguishes between purely
cooperative and non-cooperative absorbing states. While in one dimension the
model is in the class of the Voter Model, it belongs to the Directed
Percolation (DP) universality class in two dimensions.


title:
Transport through two interacting resonant levels connected by a Fermi
  sea

abstract:
  We study transport at finite bias, i.e. beyond the linear regime, through two
interacting resonant levels connected by a Fermi sea, by means of
time-dependent density matrix renormalization group. We first consider
methodological issues, like the protocol that leads to a current-currying state
and the characterization of the steady state. At finite sizes both the current
and the occupations of the interacting levels oscillate as a function of time.
We determine the amplitude and period of such oscillations as a function of
bias. We find that the occupations on the two dots oscillate with a relative
phase which depends on the distance between the impurities and on the Fermi
momentum of the Fermi sea, as expected for RKKY interactions. Also the
approximant to the steady-state current displays oscillations as a function of
the distance between the impurities. Such a behavior can be explained by
resonances in the free case. We then discuss the incidence of interaction on
such a behavior. We conclude by showing the effect of the bias on the current,
making connection with the one-impurity case.


title: On Quantum Integrable Systems

abstract:
  Many quantum integrable systems are obtained using an accelerator physics
technique known as Ermakov (or normalized variables) transformation. This
technique was used to create classical nonlinear integrable lattices for
accelerators and nonlinear integrable plasma traps. Now, all classical results
are carried over to a nonrelativistic quantum case.


title:
First-order expansion of homogenized coefficients under Bernoulli
  perturbations

abstract:
  Divergence-form operators with stationary random coefficients homogenize over
large scales. We investigate the effect of certain perturbations of the medium
on the homogenized coefficients. The perturbations that we consider are rare at
the local level, but when occurring, have an effect of the same order of
magnitude as the initial medium itself. The main result of the paper is a
first-order expansion of the homogenized coefficients, as a function of the
perturbation parameter.


title:
Modification of emission properties of ZnO layers due to plasmonic
  near-field coupling to Ag nanoislands

abstract:
  A simple fabrication method of Ag nanoislands on ZnO films is presented.
Continuous wave and time-resolved photoluminescence and transmission are
employed to investigate modifications of visible and UV emissions of ZnO
brought about by coupling to localized surface plasmons residing on Ag
nanoislands. The size of the nanoislands, determining their absorption and
scattering efficiencies, is found to be an important factor governing plasmonic
modification of optical response of ZnO films. The presence of the Ag
nanoislands of appropriate dimensions causes a strong (threefold) increase in
emission intensity and up to 1.5 times faster recombination. The experimental
results are successfully described by model calculations within the Mie theory.


title: Red Giant evolution and specific problems

abstract:
  In spite of the great effort made in the last decades to improve our
understanding of stellar evolution, significant uncertainties still remain due
to our poor knowledge of some complex physical processes that still require an
empirical calibration, such as the efficiency of convective heat transport and
interior mixing. Here we will review the impact of these uncertainties on the
evolution of red giant stars.


title: Shape Dynamics and Gauge-Gravity Duality

abstract:
  The dynamics of gravity can be described by two different systems. The first
is the familiar spacetime picture of General Relativity, the other is the
conformal picture of Shape Dynamics. We argue that the bulk equivalence of
General Relativity and Shape Dynamics is a natural setting to discuss familiar
bulk/boundary dualities. We discuss consequences of the Shape Dynamics
description of gravity as well as the issue why the bulk equivalence is not
explicitly seen in the General Relativity description of gravity.


title: Bridge spectra of iterated torus knots

abstract:
  We determine the set of all genus g bridge numbers of many iterated torus
knots, listing these numbers in a sequence called the bridge spectrum. In
addition, we prove a structural lemma about the decomposition of a strongly
irreducible bridge surface induced by cutting along a collection of essential
surfaces.


title:
On Comparing Alternative Splitting Strategies for Or-Parallel Prolog
  Execution on Multicores

abstract:
  Many or-parallel Prolog models exploiting implicit parallelism have been
proposed in the past. Arguably, one of the most successful models is
environment copying for shared memory architectures. With the increasing
availability and popularity of multicore architectures, it makes sense to
recover the body of knowledge there is in this area and re-engineer prior
computational models to evaluate their performance on newer architectures. In
this work, we focus on the implementation of splitting strategies for
or-parallel Prolog execution on multicores and, for that, we develop a
framework, on top of the YapOr system, that integrates and supports five
alternative splitting strategies. Our implementation shares the underlying
execution environment and most of the data structures used to implement
or-parallelism in YapOr. In particular, we took advantage of YapOr's
infrastructure for incremental copying and scheduling support, which we used
with minimal modifications. We thus argue that all these common support
features allow us to make a first and fair comparison between these five
alternative splitting strategies and, therefore, better understand their
advantages and weaknesses.


title: H- Ion Source Development for the FNAL 750keV Injector Upgrade

abstract:
  The new FNAL 750keV injector upgrade for the replacement of the 40 year old
Fermi National Laboratory (FNAL) Cockcroft-Walton accelerators with a new ion
source and 200MHz Radio Frequency Quadrupole (RFQ), Low Energy Beam Transport
(LEBT) and Medium Energy Beam Transport (MEBT), has been built and is now being
tested prior to installation during the 2012 shutdown. The new H- ion source is
a round aperture magnetron which was developed at Brookhaven National Lab (BNL)
by Jim Alessi. Operational experience from BNL has shown that this type of
source is more reliable with a longer lifetime (on the order of 6 to 9 months)
due to better power efficiency. With a similar duty factor to BNL, we expect to
have a comparable lifetime between source changes. The new source design
reliably produces 90mA of H- beam current at 15Hz rep-rate, 250 \mu s pulse
width, and a duty factor of 0.38%. The measured emittances at the end of the
LEBT are horizontally \epsilon H = 0.21\pi mm* mrad and vertically \epsilon v =
0.17\pi mm* mrad. With 35kV extraction the power efficiency is 60mA/kW. The
source design, along with data from a test stand and the LEBT, will be
presented in this paper.


title: Higgs Bosons in Warped Space, from the Bulk to the Brane

abstract:
  In the context of warped extra-dimensional models with all fields propagating
in the bulk, we address the phenomenology of a bulk scalar Higgs boson, and
calculate its production cross section at the LHC as well as its tree-level
effects on mediating flavor changing neutral currents. We perform the
calculations based on two different approaches. First, we compute our
predictions analytically by considering all the degrees of freedom emerging
from the dimensional reduction (the infinite tower of Kaluza Klein modes (KK)).
In the second approach, we perform our calculations numerically by considering
only the effects caused by the first few KK modes, present in the 4-dimensional
effective theory. In the case of a Higgs leaking far from the brane, both
approaches give the same predictions as the effects of the heavier KK modes
decouple. However, as the Higgs boson is pushed towards the TeV brane, the two
approaches seem to be equivalent only when one includes heavier and heavier
degrees of freedom (which do not seem to decouple). To reconcile these results
it is necessary to introduce a type of higher derivative operator which
essentially encodes the effects of integrating out the heavy KK modes and
dresses the brane Higgs so that it looks just like a bulk Higgs.


title: Optimal Locally Repairable Codes and Connections to Matroid Theory

abstract:
  Petabyte-scale distributed storage systems are currently transitioning to
erasure codes to achieve higher storage efficiency. Classical codes like
Reed-Solomon are highly sub-optimal for distributed environments due to their
high overhead in single-failure events. Locally Repairable Codes (LRCs) form a
new family of codes that are repair efficient. In particular, LRCs minimize the
number of nodes participating in single node repairs during which they generate
small network traffic. Two large-scale distributed storage systems have already
implemented different types of LRCs: Windows Azure Storage and the Hadoop
Distributed File System RAID used by Facebook. The fundamental bounds for LRCs,
namely the best possible distance for a given code locality, were recently
discovered, but few explicit constructions exist. In this work, we present an
explicit and optimal LRCs that are simple to construct. Our construction is
based on grouping Reed-Solomon (RS) coded symbols to obtain RS coded symbols
over a larger finite field. We then partition these RS symbols in small groups,
and re-encode them using a simple local code that offers low repair locality.
For the analysis of the optimality of the code, we derive a new result on the
matroid represented by the code generator matrix.


title: Reversible Language Extensions and their Application in Debugging

abstract:
  A range of methodologies and techniques are available to guide the design and
implementation of language extensions and domain-specific languages. A simple
yet powerful technique is based on source-to-source transformations interleaved
across the compilation passes of a base language. Despite being a successful
approach, it has the main drawback that the input source code is lost in the
process. When considering the whole workflow of program development (warning
and error reporting, debugging, or even program analysis), program translations
are no more powerful than a glorified macro language. In this paper, we propose
an augmented approach to language extensions for Prolog, where symbolic
annotations are included in the target program. These annotations allow
selectively reversing the translated code. We illustrate the approach by
showing that coupling it with minimal extensions to a generic Prolog debugger
allows us to provide users with a familiar, source-level view during the
debugging of programs which use a variety of language extensions, such as
functional notation, DCGs, or CLP{Q,R}.


title: Strong classification of extensions of classifiable C*-algebras

abstract:
  We show that certain extensions of classifiable C*-algebra are strongly
classified by the associated six-term exact sequence in K-theory together with
the positive cone of K_{0}-groups of the ideal and quotient. We apply our
result to give a complete classification of graph C*-algebras with exactly one
ideal.


title: Zurek's envariance derivation of Born's rule and measurement

abstract:
  Zurek's derivation of Born's rule using envariance (invariance due to
entanglement) is considered to capture the probability in full generality, but
only as applied to measurement of a quantum observable. Contrariwise, textbook
formulations of Born's rule begin with a pure state of a closed, undivided
system. The task of this study is to show that a rearrangement of the Zurek
approach is possible in which the latter is viewed as giving the probabilities
for Schmidt states of an arbitrary composite state vector, and afterwards it is
extended to probabilities in a closed, undivided system. This is achieved by
determining simultaneously probability and measurement based on the fact that
the physical meaning of probability and that of measurement are inextricably
dependent on each other.


title: Stochastic dynamics on slow manifolds

abstract:
  The theory of slow manifolds is an important tool in the study of
deterministic dynamical systems, giving a practical method by which to reduce
the number of relevant degrees of freedom in a model, thereby often resulting
in a considerable simplification. In this article we demonstrate how the same
basic methodology may also be applied to stochastic dynamical systems, by
examining the behaviour of trajectories conditioned on the event that they do
not depart the slow manifold. We apply the method to two models: one from
ecology and one from epidemiology, achieving a reduction in model dimension and
illustrating the high quality of the analytical approximations.


title: Design of MEBT for the Project X Injector Experiment at Fermilab

abstract:
  The Project X Injector Experiment (PXIE), a test bed for the Project X front
end, will be completed at Fermilab at FY12-16. One of the challenging goals of
PXIE is demonstration of the capability to form a 1 mA H- beam with an
arbitrary selected bunch pattern from the initially 5 mA 162.5 MHz CW train.
The bunch selection will be made in the Medium Energy Beam Transport (MEBT) at
2.1 MeV by diverting undesired bunches to an absorber. This paper presents the
MEBT scheme and describes development of its elements, including the kickers
and absorber.


title: Parallel Local Search: Experiments with a PGAS-based programming model

abstract:
  Local search is a successful approach for solving combinatorial optimization
and constraint satisfaction problems. With the progressing move toward multi
and many-core systems, GPUs and the quest for Exascale systems, parallelism has
become mainstream as the number of cores continues to increase. New programming
models are required and need to be better understood as well as data structures
and algorithms. Such is the case for local search algorithms when run on
hundreds or thousands of processing units. In this paper, we discuss some
experiments we have been doing with Adaptive Search and present a new parallel
version of it based on GPI, a recent API and programming model for the
development of scalable parallel applications. Our experiments on different
problems show interesting speedups and, more importantly, a deeper
interpretation of the parallelization of Local Search methods.


title: The Complexity of Robot Games on the Integer Line

abstract:
  In robot games on Z, two players add integers to a counter. Each player has a
finite set from which he picks the integer to add, and the objective of the
first player is to let the counter reach 0. We present an exponential-time
algorithm for deciding the winner of a robot game given the initial counter
value, and prove a matching lower bound.


title: Role of particle conservation in self-propelled particle systems

abstract:
  Actively propelled particles undergoing dissipative collisions are known to
develop a state of spatially distributed coherently moving clusters. For
densities larger than a characteristic value clusters grow in time and form a
stationary well-ordered state of coherent macroscopic motion. In this work we
address two questions: (i) What is the role of the particles' aspect ratio in
the context of cluster formation, and does the particle shape affect the
system's behavior on hydrodynamic scales? (ii) To what extent does particle
conservation influence pattern formation? To answer these questions we suggest
a simple kinetic model permitting to depict some of the interaction properties
between freely moving particles and particles integrated in clusters. To this
end, we introduce two particle species: single and cluster particles.
Specifically, we account for coalescence of clusters from single particles,
assembly of single particles on existing clusters, collisions between clusters,
and cluster disassembly. Coarse-graining our kinetic model, (i) we demonstrate
that particle shape (i.e. aspect ratio) shifts the scale of the transition
density, but does not impact the instabilities at the ordering threshold. (ii)
We show that the validity of particle conservation determines the existence of
a longitudinal instability, which tends to amplify density heterogeneities
locally, and in turn triggers a wave pattern with wave vectors parallel to the
axis of macroscopic order. If the system is in contact with a particle
reservoir this instability vanishes due to a compensation of density
heterogeneities.


title: The Ciao clp(FD) Library. A Modular CLP Extension for Prolog

abstract:
  We present a new free library for Constraint Logic Programming over Finite
Domains, included with the Ciao Prolog system. The library is entirely written
in Prolog, leveraging on Ciao's module system and code transformation
capabilities in order to achieve a highly modular design without compromising
performance. We describe the interface, implementation, and design rationale of
each modular component.
  The library meets several design goals: a high level of modularity, allowing
the individual components to be replaced by different versions;
high-efficiency, being competitive with other FD implementations; a glass-box
approach, so the user can specify new constraints at different levels; and a
Prolog implementation, in order to ease the integration with Ciao's code
analysis components.
  The core is built upon two small libraries which implement integer ranges and
closures. On top of that, a finite domain variable datatype is defined, taking
care of constraint reexecution depending on range changes. These three
libraries form what we call the FD kernel of the library.
  This FD kernel is used in turn to implement several higher-level finite
domain constraints, specified using indexicals. Together with a labeling module
this layer forms what we name \emph{the FD solver}. A final level integrates
the clp(FD) paradigm with our FD solver. This is achieved using attributed
variables and a compiler from the clp(FD) language to the set of constraints
provided by the solver.
  It should be noted that the user of the library is encouraged to work in any
of those levels as seen convenient: from writing a new range module to
enriching the set of FD constraints by writing new indexicals.


title: A Bayesian Nonparametric Meta-Analysis Model

abstract:
  In a meta-analysis, it is important to specify a model that adequately
describes the effect-size distribution of the underlying population of studies.
The conventional normal fixed-effect and normal random-effects models assume a
normal effect-size population distribution, conditionally on parameters and
covariates. For estimating the mean overall effect size, such models may be
adequate, but for prediction they surely are not if the effect size
distribution exhibits non-normal behavior. To address this issue, we propose a
Bayesian nonparametric meta-analysis model, which can describe a wider range of
effect-size distributions, including unimodal symmetric distributions, as well
as skewed and more multimodal distributions. We demonstrate our model through
the analysis of real meta-analytic data arising from behavioral-genetic
research. We compare the predictive performance of the Bayesian nonparametric
model against various conventional and more modern normal fixed-effects and
random-effects models.


title:
Accretion disk wind as explanation for the broad-line region structure
  in NGC 5548

abstract:
  Supermassive black holes in the centers of active galactic nuclei (AGN) are
surrounded by broad-line regions (BLRs). The broad emission lines seen in the
AGN spectra are emitted in this spatially unresolved region. We intend to
obtain information on the structure and geometry of this BLR based on observed
line profiles. We modeled the rotational and turbulent velocities in the
line-emitting region on the basis of the line-width FWHM and line dispersion
sigma_line of the variable broad emission lines in NGC5548. Based on these
velocities we estimated the height of the line-emitting regions above the
midplane in the context of their distances from the center. The broad emission
lines originate at distances of 2 to 27 light days from the center. Higher
ionized lines originate in the inner region (lesser equal 13 light days) in
specific filamentary structures 1 to 14 light days above the midplane. In
contrast, the Hbeta line is emitted in an outer (6 - 26 light days), more
flattened configuration at heights of 0.7 to 4 light days only above the
midplane. The derived geometry of the line-emitting region in NGC5548 is
consistent with an outflowing wind launched from an accretion disk.


title: Seebeck effect in the graphene-superconductor junction

abstract:
  Thermopower of graphene-superconductor (GS) junction is analyzed within the
extended Blonder- Tinkham-Klapwijk formalism. Within this approach we have also
calculated the temperature de- pendence of the zero-bias conductance for GS
junction. Both quantities reflect quasi-relativistic nature of massless Dirac
fermions in graphene. Both, the linear and the non-linear regimes are
considered.


title:
Investigating the Potential Dilution of the Metal Content of Hot Gas in
  Early-Type Galaxies by Accreted Cold Gas

abstract:
  The measured emission-weighted metal abundance of the hot gas in early-type
galaxies has been known to be lower than theoretical expectations for 20 years.
In addition, both X-ray luminosity and metal abundance vary significantly among
galaxies of similar optical luminosities. This suggests some missing factors in
the galaxy evolution process, especially the metal enrichment process. With
{\it Chandra} and {\it XMM-Newton}, we studied 32 early-type galaxies (kT
$\lesssim$ 1 keV) covering a span of two orders of $L_{X,\rm gas}/L_{K}$ to
investigate these missing factors. Contrary to previous studies that X-ray
faint galaxies show extremely low Fe abundance ($\sim 0.1$ Z${_\odot}$), nearly
all galaxies in our sample show an Fe abundance at least 0.3 Z${_\odot}$,
although the measured Fe abundance difference between X-ray faint and X-ray
bright galaxies remains remarkable. We investigated whether this dichotomy of
hot gas Fe abundances can be related to the dilution of hot gas by mixing with
cold gas. With a subset of 24 galaxies in this sample, we find that there is
virtually no correlation between hot gas Fe abundances and their atomic gas
content, which disproves the scenario that the low metal abundance of X-ray
faint galaxies might be a result of the dilution of the remaining hot gas by
pristine atomic gas. In contrast, we demonstrate a negative correlation between
the measured hot gas Fe abundance and the ratio of molecular gas mass to hot
gas mass, although it is unclear what is responsible for this apparent
anti-correlation. We discuss several possibilities including that externally
originated molecular gas might be able to dilute the hot gas metal content.


title:
Electron optics with dirac fermions: electron transport in monolayer and
  bilayer graphene through magnetic barrier and their superlattices

abstract:
  In this review article we discuss the recent progress in studying ballistic
transport for charge carriers in graphene through highly inhomogenous magnetic
field known as magnetic barrier in combination with gate voltage induced
electrostatic potential. Starting with cases for a single or double magnetic
barrier we also review the progress in understanding electron transport through
the superlattices created out of such electromagnetic potential barriers and
discuss the possibility of experimental realization of such systems. The
emphasis is particularly on the analogy of such transport with propagation of
light wave through medium with alternating dielectric constant. In that
direction we discuss electron analogue of optical phenomena like fabry perot
resonances, negative refraction, Goos-H\"anchen effect, beam collimation in
such systems and explain how such analogy is going to be useful for device
generation. The resulting modification of band structure of dirac fermions, the
emergence of additional dirac points was also discussed accompanied by brief
section on the interconvertibility of electric and magnetic field for
relativistic dirac fermions. We also discuss the effect of such electromagnetic
potential barrier on bilayer graphene in a similar framework.


title: Novel Analysis of Spinor Interactions and non-Riemannian Geometry

abstract:
  A novel analysis of the gauge theory of the local Lorentz group is
implemented both in flat and in curved space-time, and the resulting dynamics
is analyzed in view of the geometrical interpretation of the gauge potential.
The Yang-Mills picture of local Lorentz transformations is first approached in
a second-order formalism. For the Lagrangian approach to reproduce the second
Cartan structure equation as soon as the Lorentz gauge connections are
identified with the contortion tensor, an interaction term between the Lorentz
gauge fields and the spin connections has to be postulated. The full picture
involving gravity, torsion and spinors is described by a coupled set of field
equations, which allows one to interpret both gravitational spin connections
and matter spin density as the source term for the Yang-Mills equations. The
contortion tensor acquires a propagating character, because of its non-Abelian
feature, and the pure contact interaction is restored in the limit of vanishing
Lorentz connections.


title:
Intrinsic Electrical Transport Properties of Monolayer Silicene and MoS2
  from First Principles

abstract:
  The electron-phonon interaction and related transport properties are
investigated in monolayer silicene and MoS2 by using a density functional
theory calculation combined with a full-band Monte Carlo analysis. In the case
of silicene, the results illustrate that the out-of-plane acoustic phonon mode
may play the dominant role unlike its close relative - graphene. The small
energy of this phonon mode, originating from the weak sp2 bonding between Si
atoms, contributes to the high scattering rate and significant degradation in
electron transport. In MoS2, the longitudinal acoustic phonons show the
strongest interaction with electrons. The key factor in this material appears
to be the Q valleys located between the {\Gamma} and K points in the first
Brillouin zone as they introduce additional intervalley scattering. The
analysis also reveals the potential impact of extrinsic screening by other
carriers and/or adjacent materials. Subsequent decrease in the actual
scattering rate can be drastic, warranting careful consideration. Finally, the
effective deformation potential constants are extracted for all relevant
intrinsic electron-phonon scattering processes in both materials.


title:
Studying the Peculiar Velocity Bulk Flow in a Sparse Survey of Type-Ia
  SNe

abstract:
  Studies of the peculiar velocity bulk flow based on different tools and
datasets have been consistent so far in their estimation of the direction of
the flow, which also happens to lie in close proximity to several features
identified in the cosmic microwave background, providing motivation to use new
compilations of type-Ia supernovae measurements to pinpoint it with better
accuracy and up to higher redshift. Unfortunately, the peculiar velocity field
estimated from the most recent Union2.1 compilation suffers from large
individual errors, poor sky coverage and low redshift-volume density. We show
that as a result, any naive attempt to calculate the best-fit bulk flow and its
significance will be severely biased. Instead, we introduce an iterative method
which calculates the amplitude and the scatter of the direction of the best-fit
bulk flow as deviants are successively removed and take into account the
sparsity of the data when estimating the significance of the result. Using 200
supernovae up to a redshift of z=0.2, we find that while the amplitude of the
bulk flow is marginally consistent with the value expected in a LCDM universe
given the large bias, the scatter of the direction is significantly low (at >=
99.5 C.L.) when compared to random simulations, supporting the quest for a
cosmological origin.


title:
Analysis of the non-minimally coupled scalar field in the Palatini
  formalism by the Noether symmetry approach

abstract:
  We analyse a scalar field non-minimally coupled to gravity in the context of
a Universe described by the flat Friedmann-Robertson-Walker (F-R-W) metric. The
adopted model comprises a Universe filled by the scalar field and standard
matter (dark and baryonic). The corresponding field equations are obtained
through the Palatini formalism. From the action of the model in the flat F-R-W
space-time, a point-like Lagrangian of first order is obtained and the Noether
symmetry approach is applied to restrict the forms of the a priori undefined
coupling and potential of the scalar field. We show that the massive scalar
field is associated with a Noether symmetry of the model. Analytical
cosmological solutions for this case are found and their respective importance
for the description of the dark energy are discussed.


title:
Extension of von Neumann's uniqueness theorem to the theories with
  non-physical particles

abstract:
  Von Neumann's uniqueness theorem is extended to a special class of canonical
commutation relations, namely the anti-Fock representations, which are realized
on a Krein space.


title: Intersection Numbers of Geodesic Arcs

abstract:
  For a compact surface $S$ with constant negative curvature $-\kappa$ (for
some $\kappa>0$) and genus $g\geq2$, we show that the tails of the distribution
of $i(\alpha,\beta)/l(\alpha)l(\beta)$ (where $i(\alpha,\beta)$ is the
intersection number of the closed geodesics and $l(\cdot)$ denotes the
geometric length) are estimated by a decreasing exponential function. As a
consequence, we find the asymptotic normalized average of the intersection
numbers of pairs of closed geodesics on $S$. In addition, we prove that the
size of the sets of geodesics whose $T$-self-intersection number is not close
to $\kappa T^2/(2\pi^2(g-1))$ is also estimated by a decreasing exponential
function. And, as a corollary of the latter, we obtain a result of S. Lalley
which states that most of the closed geodesics $\alpha$ on $S$ with
$l(\alpha)\leq T$ have roughly $\kappa l(\alpha)^2/(2\pi^2(g-1))$
self-intersections, when $T$ is large.


title: Even and Odd Pairs of Lattice Paths with Multiple Intersections

abstract:
  Let M(n,k,r,s) be the number of ordered paths in the plane, with unit steps E
or N, that intersect k times in which the first path ends at the point (r,n-r)
and the second path ends at the point (s,n-s). Our main object of study in this
paper is the sum of the numbers M(n,k,r,s) over r and s where r+s is fixed. We
consider even and odd values of r+s separately, and we derive a simpler formula
for M(n,k,r,s) than previously appeared in the literature.


title: The Tsallis Parameter

abstract:
  The exact solution of a particular form of the stationary state generalized
Fokker-Planck equations, which is given under certain conditions by the
classical Tsallis distribution, is compared with the solution of the MAXENT
equations obtained using the classical Tsallis entropy. The solutions only
agree provided the Tsallis parameter, q, is no longer taken to be constant.


title:
Cobalt Substitution in CuFe$_{2}$O$_{4}$ spinel and its influence on the
  crystal structure and phonons

abstract:
  In this work nanometric spinel Co${}_{1-x}$Cu${}_{x}$Fe${}_{2}$O${}_{4}$
powders were obtained by polymeric precursors method at several annealing
temperatures between 700 and 1200 ${}^\circ$C. The samples were characterized
by means of X-ray powder diffraction, confirming the ideal inverse spinel
structure for CoFe${}_{2}$O${}_{4}$ sample and the tetragonal distorted inverse
spinel structure for CuFe${}_{2}$O${}_{4}$ sample. Based on FWHM evaluation, we
estimated that crystallite sizes varies between 27 and 37 nm for the
non-substituted samples. The optical-active modes were determined by infrared
and Raman spectroscopies. The phonon spectra showed a local tetragonal
distortion for mixed samples.


title:
Strong duality in conic linear programming: facial reduction and
  extended duals

abstract:
  The facial reduction algorithm of Borwein and Wolkowicz and the extended dual
of Ramana provide a strong dual for the conic linear program $$ (P) \sup {<c,
x> | Ax \leq_K b} $$ in the absence of any constraint qualification. The facial
reduction algorithm solves a sequence of auxiliary optimization problems to
obtain such a dual. Ramana's dual is applicable when (P) is a semidefinite
program (SDP) and is an explicit SDP itself. Ramana, Tuncel, and Wolkowicz
showed that these approaches are closely related; in particular, they proved
the correctness of Ramana's dual using certificates from a facial reduction
algorithm.
  Here we give a clear and self-contained exposition of facial reduction, of
extended duals, and generalize Ramana's dual:
  -- we state a simple facial reduction algorithm and prove its correctness;
and
  -- building on this algorithm we construct a family of extended duals when
$K$ is a {\em nice} cone. This class of cones includes the semidefinite cone
and other important cones.


title: Small doubling in groups

abstract:
  Let A be a subset of a group G = (G,.). We will survey the theory of sets A
with the property that |A.A| <= K|A|, where A.A = {a_1 a_2 : a_1, a_2 in A}.
The case G = (Z,+) is the famous Freiman--Ruzsa theorem.


title: Probing The Central Engines Of Low-Luminosity Active Galactic Nuclei

abstract:
  I give a brief review of the observational properties of low-luminosity AGNs
(LLAGNs). I outline some unresolved issues in the study of LLAGNs, emphasizing
the uncertainties in the role of the truncated thin accretion disk, the dusty
obscuring torus and the origin of high-energy radiation (X-rays and
gamma-rays). I discuss key future directions for progress, focusing on the
broadband multiwavelength observations that will help us address these issues
and the importance of high-resolution infrared observations.


title:
Properties of the Nonparametric Maximum Likelihood {ROC} Model with a
  Monotonic Likelihood Ratio

abstract:
  We expect that some observers in perceptual signal detection experiments,
such as radiologists, will make rational decisions, and therefore ratings from
those observers are expected to form a convex ROC curve. However, measured and
published curves are often not convex. This article examines the
convexity-constrained nonparametric maximum likelihood estimator of the ROC
curve given by Lloyd (2002). Like Lloyd we use the Pool Adjacent Violator
Algorithm (PAVA) to construct the estimate of the convex curve. We present a
direct proof that this estimate is a convex hull of the empirical ROC curve.
The estimate is simple to construct by hand, and follows the suggestions by
Pesce, et~al.~(2010).
  We examine the properties of this constrained nonparametric maximum
likelihood estimator (NPMLE) under a large number of experimental conditions.
In particular we examine the behavior of the area under the curve which is
often used as summary metric of diagnostic performance. This constrained ROC
estimator gives an area under the curve (AUC) estimate that is biased high with
respect to the usual empirical AUC estimate, but may be less biased with
respect to the underlying continuous true AUC value. The constrained ROC
estimator has lower variance than the usual empirical one. Unlike previous
authors who used complex bootstrapping to estimate the variance of the
constrained NPMLE we demonstrate that standard unbiased estimators of variance
work well to estimate the variance of the NPMLE AUC.


title: Growth Morphology of Boron Doped Single Crystal Diamond

abstract:
  Boron-doped single crystal diamond films were grown homoepitaxially on
synthetic (100) Type Ib diamond substrates using microwave plasma assisted
chemical vapor deposition. A modification in surface morphology of the film
with increasing boron concentration in the plasma has been observed using
atomic force microscopy. Use of nitrogen during boron doping has been found to
improve the surface morphology and the growth rate of films but it lowers the
electrical conductivity of the film. The Raman spectra indicated a zone center
optical phonon mode along with a few additional bands at the lower wavenumber
regions. The change in the peak profile of the zone center optical phonon mode
and its downshift were observed with the increasing boron content in the film.
However, shrinkage and upshift of Raman line was observed in the film that was
grown in presence of nitrogen along with diborane in process gas.


title: Robust amplification of Santha-Vazirani sources with three devices

abstract:
  We demonstrate that amplification of arbitrarily weak randomness is possible
using quantum resources. We present a randomness amplification protocol that
involves Bell experiments. We find a Bell inequality which can amplify
arbitrarily weak randomness and give a detailed analysis of the protocol
involving it. Our analysis includes finding a sufficient violation of Bell
inequality as a function of the initial quality of randomness. It has a very
important property that for any quality the required violation is strictly
lower than possible to obtain using quantum resources. Among other things, it
means that the protocol takes a finite amount of time to amplify arbitrarily
weak randomness.


title: Hadron Spectroscopy in COMPASS

abstract:
  The COmmon Muon and Proton Apparatus for Structure and Spectroscopy (COMPASS)
is a multi-purpose fixed-target experiment at the CERN Super Proton Synchrotron
(SPS) aimed at studying the structure and spectrum of hadrons.
  In the naive Constituent Quark Model (CQM) mesons are bound states of quarks
and antiquarks. QCD, however, predict the existence of hadrons beyond the CQM
with exotic properties interpreted as excited glue (hybrids) or even pure
gluonic bound states (glueballs). One main goal of COMPASS is to search for
these states. Particularly interesting are so called spin-exotic mesons which
have J^{PC} quantum numbers forbidden for ordinary q\bar{q} states.
  Its large acceptance, high resolution, and high-rate capability make the
COMPASS experiment an excellent device to study the spectrum of light-quark
mesons in diffractive and central production reactions up to masses of about
2.5 GeV. COMPASS is able to measure final states with charged as well as
neutral particles, so that resonances can be studied in different reactions and
decay channels.
  During 2008 and 2009 COMPASS acquired large data samples using negative and
positive secondary hadron beams on lH_2, Ni, and Pb targets. The presented
overview of the first results from this data set focuses in particular on the
search for spin-exotic mesons in diffractively produced \pi^-\pi^+\pi^-,
\eta\pi, \eta'\pi, and \pi^-\pi^+\pi^-\pi^+\pi^- final states and the analysis
of central-production of \pi^+\pi^- pairs in order to study glueball candidates
in the scalar sector.


title: Axiomatic Construction of Hierarchical Clustering in Asymmetric Networks

abstract:
  This paper considers networks where relationships between nodes are
represented by directed dissimilarities. The goal is to study methods for the
determination of hierarchical clusters, i.e., a family of nested partitions
indexed by a connectivity parameter, induced by the given dissimilarity
structures. Our construction of hierarchical clustering methods is based on
defining admissible methods to be those methods that abide by the axioms of
value - nodes in a network with two nodes are clustered together at the maximum
of the two dissimilarities between them - and transformation - when
dissimilarities are reduced, the network may become more clustered but not
less. Several admissible methods are constructed and two particular methods,
termed reciprocal and nonreciprocal clustering, are shown to provide upper and
lower bounds in the space of admissible methods. Alternative clustering
methodologies and axioms are further considered. Allowing the outcome of
hierarchical clustering to be asymmetric, so that it matches the asymmetry of
the original data, leads to the inception of quasi-clustering methods. The
existence of a unique quasi-clustering method is shown. Allowing clustering in
a two-node network to proceed at the minimum of the two dissimilarities
generates an alternative axiomatic construction. There is a unique clustering
method in this case too. The paper also develops algorithms for the computation
of hierarchical clusters using matrix powers on a min-max dioid algebra and
studies the stability of the methods proposed. We proved that most of the
methods introduced in this paper are such that similar networks yield similar
hierarchical clustering results. Algorithms are exemplified through their
application to networks describing internal migration within states of the
United States (U.S.) and the interrelation between sectors of the U.S. economy.


title: From the Virasoro Algebra to Krichever--Novikov Type Algebras and Beyond

abstract:
  Starting from the Virasoro algebra and its relatives the generalization to
higher genus compact Riemann surfaces was initiated by Krichever and Novikov.
The elements of these algebras are meromorphic objects which are holomorphic
outside a finite set of points. A crucial and non-trivial point is to establish
an almost-grading replacing the honest grading in the Virasoro case. Such an
almost-grading is given by splitting the set of points of possible poles into
two non-empty disjoint subsets. Krichever and Novikov considered the two-point
case. Schlichenmaier studied the most general multi-point situation with
arbitrary splittings. Here we will review the path of developments from the
Virasoro algebra to its higher genus and multi-point analogs. The starting
point will be a Poisson algebra structure on the space of meromorphic forms of
all weights. As sub-structures the vector field algebras, function algebras,
Lie superalgebras and the related current algebras show up. All these algebras
will be almost-graded. In detail almost-graded central extensions are
classified. In particular, for the vector field algebra it is essentially
unique. The defining cocycle are given in geometric terms. Some applications,
including the semi-infinite wedge form representations are recalled. Finally,
some remarks on the by Krichever and Sheinman recently introduced Lax operator
algebras are made.

categories: math.AG hep-th math-ph math.MP math.QA math.RA


title: Beta Decay Of Exotic Tz = -1 And Tz = -2 Nuclei

abstract:
  The half-lives of the Tz = -2, 56Zn and Tz = -1, 58Zn isotopes and other
nuclei were measured in a {\beta}-decay experiment at GANIL. The energy levels
populated by the 56Zn {\beta} decay were determined. The 56Zn results are
compared with the results of the mirror process, the charge exchange reaction
56Fe(3He,t)56Co.


title: Physics Performance of a Low-Luminosity Low Energy Neutrino Factory

abstract:
  We investigate the minimal performance, in terms of beam luminosity and
detector size, of a neutrino factory to achieve a competitive physics reach for
the determination of the mass hierarchy and the discovery of leptonic CP
violation. We find that a low luminosity of $2\times 10^{20}$ useful muon
decays per year and 5 GeV muon energy aimed at a 10 kton magnetized liquid
argon detector placed at 1300 km from the source provides a good starting
point. This result relies on $\theta_{13}$ being large and assumes that the
so-called platinum channel can be used effectively. We find that such a minimal
facility would perform significantly better than phase I of the LBNE project
and thus could constitute a reasonable step towards a full neutrino factory.


title: Further details on the phase diagram of hard ellipsoids of revolution

abstract:
  In recent work we revisited the phase diagram of hard ellipsoids of
revolution (spheroids) by means of replica exchange Monte Carlo simulations.
This was done by setting random initial configurations, and allows to confirm
the formation of sm2 crystal structures at high densities [Phys. Rev. E 75,
020402 (2007)] for large anisotropies and stretched-fcc for small anisotropies.
In this work we employed the same technique but setting the starting cells as
sm2 crystal structures having the maximum known packing density [Phys. Rev.
Lett. 92, 255506 (2004)]. This procedure yields a very rich behavior for
quasi-spherical oblates and prolates. These systems, from low to high
pressures, show the following phases: isotropic fluid, plastic solid,
stretched-fcc solid, and sm2 solid. The first three transitions are first
order, whereas the last one is a subtle, probably high order transition. This
picture is consistent with the fact of having the sm2 structure capable of
producing the maximally achievable density.


title: The narrow-band resonance in two-layer metallic round tube

abstract:
  The regularities of narrow-band resonance in a two-layer circular waveguide
due to the radiation of the bunch, moving along its axis are investigated. Its
connection with the synchronous component of a two-layer TM01 mode of the
waveguide is established. Also performed numerical and analytical calculations
of wake functions (particle radiation fields) and are investigated its
properties. The possibility of using a two-layer waveguide as a powerful source
of quasi-monochromatic terahertz radiation and as an efficient device for the
two-beam acceleration is shown. Preliminary experimental scheme is proposed.


title:
Resistive detection of nuclear spins in a single quantum dot under Kondo
  effect regime

abstract:
  We study dynamic polarization and resistive detection of nuclear spins in a
semiconductor quantum dot (QD) under the Kondo effect regime. We find that the
differential conductance spectra of the QD exhibit hysteresis under the Kondo
effect regime in magnetic fields. Relevance of nuclear spins to the hysteresis
is confirmed by the detection of nuclear magnetic resonance signals by
monitoring the differential conductance. We attribute the origin of the
hysteresis to the dynamic nuclear spin polarization (DNP) induced in the QD.
Using the DNP, we demonstrate nuclear spin relaxation rate measurements in the
QD under the Kondo effect regime.


title: Test Results of Tesla-Style Cryomodules at Fermilab

abstract:
  Commissioning and operation of the first Tesla-style Cryomodule (CM-1) at
Fermilab was concluded in recent months. A second Tesla Type III+ module,
RFCA002, will be replacing it. CM-1 is the first 8-cavity ILC style cryomodule
to be built at Fermilab and also the first accelerating cryomodule of the
Advanced Superconducting Test Accelerator (ASTA). We report on the operating
results of both of these cryomodules.


title: The Leading Order Dressing Phase in ABJM Theory

abstract:
  We study the planar asymptotic dilatation operator of ABJM theory in the
SU(2) x SU(2) sector up to eight loops. Combining Bethe Ansatz techniques and N
= 2 superspace methods, we are able to fix all the coefficients appearing in
the maximal-reshuffling terms. In particular, we can directly compute from
Feynman diagrams the leading order coefficient of the dressing phase and find
an agreement with the relation conjectured by Gromov and Vieira between the
ABJM and N = 4 SYM phase factor.


title:
Nanoscale Surface Analysis on Second Generation Advanced High Strength
  Steel after Hot Dip Galvanizing

abstract:
  Second Generation advanced high strength steel is the material of choice for
modern automotive structural parts because of its outstanding maximal
elongation and tensile strength. Nonetheless there is still a lack of corrosion
protection for this material due to the fact that cost efficient hot dip
galvanizing can not be applied. The reason for the insufficient coatability
with zinc is found in the segregation of manganese to the surface during
annealing and the formation of manganese oxides prior coating. This work
analyses the structure and chemical composition of the surface oxides on so
called nano-TWIP (twinning induced plasticity) steel on the nanoscopic scale
after hot dip galvanizing in a simulator with employed analytical methods
comprising scanning Auger electron spectroscopy (SAES), energy dispersive x-ray
spectroscopy (EDX), and focused ion beam (FIB) for cross section preparation.
By the combination of these methods it was possible to obtain detailed chemical
images serving a better understanding which processes exactly occur on the
surface of this novel kind of steel and how to promote in the future for this
material system galvanic protection.


title: A mutate-and-map protocol for inferring base pairs in structured RNA

abstract:
  Chemical mapping is a widespread technique for structural analysis of nucleic
acids in which a molecule's reactivity to different probes is quantified at
single-nucleotide resolution and used to constrain structural modeling. This
experimental framework has been extensively revisited in the past decade with
new strategies for high-throughput read-outs, chemical modification, and rapid
data analysis. Recently, we have coupled the technique to high-throughput
mutagenesis. Point mutations of a base-paired nucleotide can lead to exposure
of not only that nucleotide but also its interaction partner. Carrying out the
mutation and mapping for the entire system gives an experimental approximation
of the molecules contact map. Here, we give our in-house protocol for this
mutate-and-map strategy, based on 96-well capillary electrophoresis, and we
provide practical tips on interpreting the data to infer nucleic acid
structure.


title: Beam Loss Control for the Fermilab Main Injector

abstract:
  From 2005 through 2012, the Fermilab Main Injector provided intense beams of
120 GeV protons to produce neutrino beams and antiprotons. Hardware
improvements in conjunction with improved diagnostics allowed the system to
reach sustained operation at 400 kW beam power. Losses were at or near the 8
GeV injection energy where 95% beam transmission results in about 1.5 kW of
beam loss. By minimizing and localizing loss, residual radiation levels fell
while beam power was doubled. Lost beam was directed to either the collimation
system or to the beam abort. Critical apertures were increased while improved
instrumentation allowed optimal use of available apertures. We will summarize
the impact of various loss control tools and the status and trends in residual
radiation in the Main Injector.


title:
Higher order splitting methods with modified integrators for a class of
  Hamiltonian systems

abstract:
  We discuss systematic extensions of the standard (St{\"o}rmer-Verlet)
splitting method for differential equations of Hamiltonian mechanics, with
relative accuracy of order $\tau^2$ for a timestep of length $\tau$, to higher
orders in $\tau$. We present some splitting schemes, with all intermediate
timesteps real and positive, which increase the relative accuracy to order
$\tau^{N}$ (for N=4, 6, and 8) for a large class of Hamiltonian systems.


title:
A note on the uniqueness of quasi-Einstein metrics on $\Bbb{H}^{n}\times
  \Bbb{R}$

abstract:
  The aim of this note is to give an explicit description of quasi-Einstein
metrics on $\Bbb{H}^{n}\times \Bbb{R}.$ We shall construct two examples of
quasi-Einstein metrics on this manifold and then we shall prove the uniqueness
of these examples. Finally, we shall describe the closed relation between
quasi-Einstein metrics and static metrics in the quoted space.