title: The 1-Jettiness DIS event shape: NNLL + NLO results

abstract:
  We present results for the complete NNLL+NLO (~ \alpha_s) 1-jettiness
(\tau_1) event shape distribution for single jet (J) production in
electron-nucleus (N_A) collisions e^- + N_A \to e^- + J + X, in the deep
inelastic scattering (DIS) region where the hard scale is set by the jet
transverse momentum P_{J_T}. These results cover the entire \tau_1-spectrum
including the resummation (\tau_1<<P_{J_T}) and fixed-order (\tau_1~ P_{J_T})
perturbative QCD regions. They incorporate non-perturbative soft radiation
effects, the anti-k_T jet algorithm in the fixed-order calculation, and a
smooth matching between the resummation and fixed-order perturbative QCD
regions. The matching smoothly connects the spectrum in the resummation region,
which can be computed without reference to an external jet algorithm, and the
fixed-order region where an explicit jet algorithm must be specified. Our code,
used for generating the numerical results, is flexible enough to incorporate
different jet algorithms for the fixed-order calculation. We also perform a jet
shape analysis, defined within the 1-jettiness framework, which allows one to
control the amount of radiation included in the definition of the final state
jet. This formalism can allow for detailed studies of jet energy-loss
mechanisms and nuclear medium effects. The analysis presented here can be used
for precision studies of QCD and as a probe of nuclear dynamics using data
collected at HERA and in proposed future electron-ion colliders such as the EIC
and the LHeC.


title: On the Equivalence between Bayesian and Classical Hypothesis Testing

abstract:
  For hypotheses of the type H_0:theta=theta_0 vs H_1:theta ne theta_0 we
demonstrate the equivalence of a Bayesian hypothesis test using a Bayes factor
and the corresponding classical test, for a large class of models, which are
detailed in the paper. In particular, we show that the role of the prior and
critical region for the Bayes factor test is only to specify the type I error.
This is their only role since, as we show, the power function of the Bayes
factor test coincides exactly with that of the classical test, once the type I
error has been fixed.
  For more complex tests involving nuisance parameters, we recover the
classical test by using Jeffreys prior on the nuisance parameters, while the
prior on the hypothesized parameters can be arbitrary up to a large class. On
the other hand, we show that using proper priors on the nuisance parameters
results in a test with uniformly lower power than the classical test.


title:
Algorithms for entanglement renormalization: boundaries, impurities and
  interfaces

abstract:
  We propose algorithms, based on the multi-scale entanglement renormalization
ansatz, to obtain the ground state of quantum critical systems in the presence
of boundaries, impurities, or interfaces. By exploiting the theory of minimal
updates [G. Evenbly and G. Vidal, arXiv:1307.0831], the ground state is
completely characterized in terms of a number of variational parameters that is
independent of the system size, even though the presence of a boundary, an
impurity, or an interface explicitly breaks the translation invariance of the
host system. Similarly, computational costs do not scale with the system size,
allowing the thermodynamic limit to be studied directly and thus avoiding
finite size effects e.g. when extracting the universal properties of the
critical system.


title:
Flavor Changing Neutral Current Processes in a Reduced Minimal Scalar
  Sector

abstract:
  In this work we overhaul previous studies of Flavor Changing Neutral Current
processes in the context of the Reduced Minimal 3-3-1 model(RM331). We sift the
individual contributions from the CP even scalars and the $Z^{\prime}$ gauge
boson using two different parametrizations schemes and compare our results with
current measurements. In particular, studying the $B^{0}-\bar{B^{0}}$ meson
system we find the most stringent bounds in the literature on this model,
namely $M_{Z^{\prime}} \gtrsim 3326$~GeV, $M_{V^{\pm}} \gtrsim 910$~GeV,
$M_{U^{++}} \gtrsim 914$~GeV and $m_{h_2^0} \gtrsim 889$~GeV.


title:
Preparation of Knill-Lafamme-Milburn states based on superconducting
  qutrits

abstract:
  We propose two schemes for generating the Knill-Lafamme-Milburn (KLM) states
of two distant polar molecules (PMs) ensembles respectively in two
transmission-line resonators (TLRs) connected by a superconducting charge
qutrit (SCQ), and of two SCQs in a TLR, respectively. Both of the schemes are
robust against photon decay due to the virtual excitations of the microwave
photons of the TLRs, and the spontaneous emission can be suppressed owing to
the virtual transitions of the SCQs in the second scheme. In addition, the
schemes have high controllability and feasibility under the current available
techniques.


title: $K_L-K_S$ mass difference from Lattice QCD

abstract:
  We will report on the first full calculation of the $K_L-K_S$ mass difference
in lattice QCD. The calculation is performed on a 2+1 flavor, domain wall
fermion, $24^3\times 64$ ensemble with a 329 MeV pion mass and a 575 MeV kaon
mass. Both double penguin diagrams and disconnected diagrams are included in
this calculation. The calculation is made finite through the GIM mechanism by
introducing a 949 MeV valence charm quark. While the double penguin diagrams
contribute a very small fraction to the mass difference, there is a large
cancellation between disconnected diagrams and other types of diagrams. We
obtain the mass difference $\Delta M_K$=$3.30(34)\times 10^{-12}$ MeV for these
unphysical kinematics.


title: Inhomogeneous chiral phase in the magnetic field

abstract:
  Inhomogeneous chiral phase is discussed in the presence of the magnetic
field. A topological aspect is pointed out for the complex order parameter, in
relation to the spectral asymmetry of the Dirac operator. It induces an
anomalous baryon number and extremely extends the region of the inhomogeneous
chiral phase in the QCD phase diagram. It is also shown that the novel
tricritical point appears at zero chemical potential, which should be examined
by the lattice QCD simulation.


title: Stochastic Convergence of Persistence Landscapes and Silhouettes

abstract:
  Persistent homology is a widely used tool in Topological Data Analysis that
encodes multiscale topological information as a multi-set of points in the
plane called a persistence diagram. It is difficult to apply statistical theory
directly to a random sample of diagrams. Instead, we can summarize the
persistent homology with the persistence landscape, introduced by Bubenik,
which converts a diagram into a well-behaved real-valued function. We
investigate the statistical properties of landscapes, such as weak convergence
of the average landscapes and convergence of the bootstrap. In addition, we
introduce an alternate functional summary of persistent homology, which we call
the silhouette, and derive an analogous statistical theory.


title: Times in noise-based logic: increased dimensions of logic hyperspace

abstract:
  Time shifts beyond the correlation time of the logic and reference signals
create new elements that are orthogonal to the original components. This fact
can be utilized to increase the number of dimensions of the logic space while
keeping the number of reference noises fixed. Using just a single noise and
time shifts can realize exponentially large hyperspaces with large numbers of
dimensions. Other, independent applications of time shifts include holographic
noise-based logic systems and changing commutative operations into
non-commuting ones. For the sake of simplicity, these ideas are illustrated by
deterministic time shifts, even though random timing and random time shifts
would yield the most robust systems.


title:
Meson exchange effects in elastic $ep$ scattering at loop level and the
  electromagnetic form factors of the proton

abstract:
  A new form of two-photon exchange(TPE) effect is studied to explain the
discrepancy between unpolarized and polarized experimental data in elastic $ep$
scattering. The mechanism is based on a simple idea that apart from the usual
TPE effects from box and crossed-box diagrams, the mesons may also be exchanged
in elastic $ep$ scattering by two-photon coupling at loop level. The detailed
study shows such contributions to reduced unpolarized cross section
($\sigma_{un}$) and polarized observables ($P_t,P_l$) at fixed $Q^2$ are only
dependent on proton's electromagnetic form factors $G_{E,M}$ and a new unknown
universal parameter $g$. After combining this contribution with the usual TPE
contributions from box and crossed-box diagrams, the ratio $\mu_pG_E/G_M$
extracted from the recent precise unpolarized and polarized experimental data
can be described consistently.


title: Quantum Field Theory in de Sitter spacetime

abstract:
  In this paper we will analyse quantum field theory on de Sitter spacetime. We
will analyse a general scalar and vector field theory on de Sitter spacetime.
This is done by first calculating these propagators on four-Sphere and then
analytically continuing it to de Sitter spacetime.


title:
A novel scheme for simple and precise measurement of the complex
  refractive index and thickness of thin films

abstract:
  We demonstrate applications of a novel scheme which is used for measuring
refractive index and thickness of thin film by analyzing the relative phase
difference and reflected ratio at reflection point of a monolithic folded
Fabry-Perot cavity (MFC). The complex refractive index and the thickness are
calculated according to the Fresnel formula. Results show that the proposed
method has a big improvement in accuracy with simple and clear operating
process compared with the conventional Ellipsometry.


title: One formation of finite groups

abstract:
  It is shown that two formations of finite groups, one was introduced by V.S.
Monakhov and V.N. Kniahina and another one was introduced by R. Brandl, are
coincides.


title:
The real and apparent convergence of N-body simulations of the dark
  matter structures: is the Navarro-Frenk-White profile real?

abstract:
  We consider the reasons why a cuspy NFW-like profile persistently occurs in
N-body simulations, in contradiction to some astronomical observations. The
routine method of testing the convergence of N-body simulations (in particular,
the negligibility of two-body scattering effect) is to find the conditions
under which the shape of the formed structures is insensitive to numerical
parameters. The results obtained with this approach suggest a surprisingly
minor role of the particle collisions: the central density profile remains
untouched and close to NFW, even if the simulation time significantly exceeds
the collisional relaxation time $\tau_r$. We analyze the test body distribution
in the halo center with help of the Fokker-Planck equation. It turns out that
the Fokker-Planck diffusion transforms any reasonable initial distribution into
NFW-like profile $\rho\propto r^{-1}$ in a time shorter than $\tau_r$. On the
contrary, profile $\rho\propto r^{-1}$ should survive much longer, being a sort
of attractor: the Fokker-Planck diffusion is self-compensated in this case.
Thus the test body scattering may create a stable NFW-like pseudosolution that
can be mixed up with the real convergence. This fact might help to eliminate
the well-known 'cusp vs. core' problem.


title: Hot Molecular Circumstellar Disk around Massive Protostar Orion Source I

abstract:
  We report new Atacama Large Millimeter/Submillimeter Array (ALMA)
observations of a circumstellar disk around Source I in Orion KL, an archetype
of massive protostar candidate. We detected two ortho-H$_{2}$O lines at 321 GHz
($10_{2,9}$-$9_{3,6}$) and 336 GHz ($\nu_{2}=1, 5_{2,3}$-$6_{1,6}$) for the
first time in Source I. The latter one is in vibrationally excited state at the
lower state energy of 2939 K, suggesting an evidence of hot molecular gas close
to Source I. The integrated intensity map of the 321 GHz line is elongated
along the bipolar outflow while the 336 GHz line map is unresolved with a beam
size of 0.4\arcsec. Both of these maps show velocity gradient perpendicular to
the bipolar outflow. The velocity centroid map of the 321 GHz line implies
spatial and velocity structure similar to that of vibrationally-excited SiO
masers tracing the root of the outflow emanating from the disk surface. In
contrast, the 336 GHz line is most likely emitted from the disk midplane with a
diameter of 0.2\arcsec (84 AU) as traced by a radio continuum emission and a
dark lane devoid of the vibrationally-excited SiO maser emission. The observed
velocity gradient and the spectral profile of the 336 GHz H$_{2}$O line can be
reconciled with a model of an edge-on ring-like structure with an enclosed mass
of $>$7$M_{\odot}$ and an excitation temperature of $>$3000 K. The present
results provide a further evidence of hot and neutral circumstellar disk
rotating around Source I with a diameter of $\sim$100 AU scale.


title: A Note on the Discrete Jordan Curve Theorem (Revised)

abstract:
  According to a general definition of discrete curves, surfaces, and
manifolds. This paper focuses on the Jordan curve theorem in 2D discrete
spaces. The Jordan curve theorem says that a (simply) closed curve separates a
simply connected surface into two components. Based on the definition of
discrete surfaces, we give three reasonable definitions of simply connected
spaces. Theoretically, these three definition shall be equivalent. We have
proved the Jordan curve theorem under the third definition of simply connected
spaces. The Jordan theorem shows the relationship among an object, its
boundary, and its outside area.
  After the publication of the first version of the paper ({\it L. Chen, Note
on the discrete Jordan Curve Theorem. In: SPIE Conf. on Vision Geometry VIII,
vol. 3811, pp. 82-94. (1999).}), we found some statements in the original proof
of the Jordan Curve Theorem were not explained well. One case was not proven in
details. In this revision, we added two more minor definitions and make the
proof more solid and sound when it is needed for embedding a discrete surface
into a Euclidean space.
  In this revision, we also proved that the third definition of simply
connected spaces equivalent to the second definition of simply connected
spaces.


title: Evolutionary Dynamics of Information Diffusion over Social Networks

abstract:
  Current social networks are of extremely large-scale generating tremendous
information flows at every moment. How information diffuse over social networks
has attracted much attention from both industry and academics. Most of the
existing works on information diffusion analysis are based on machine learning
methods focusing on social network structure analysis and empirical data
mining. However, the dynamics of information diffusion, which are heavily
influenced by network users' decisions, actions and their socio-economic
interactions, is generally ignored by most of existing works. In this paper, we
propose an evolutionary game theoretic framework to model the dynamic
information diffusion process in social networks. Specifically, we derive the
information diffusion dynamics in complete networks, uniform degree and
non-uniform degree networks, with the highlight of two special networks,
Erd\H{o}s-R\'enyi random network and the Barab\'asi-Albert scale-free network.
We find that the dynamics of information diffusion over these three kinds of
networks are scale-free and the same with each other when the network scale is
sufficiently large. To verify our theoretical analysis, we perform simulations
for the information diffusion over synthetic networks and real-world Facebook
networks. Moreover, we also conduct experiment on Twitter hashtags dataset,
which shows that the proposed game theoretic model can well fit and predict the
information diffusion over real social networks.


title:
A superradiant laser based on two-photon Raman transition of caesium
  atoms

abstract:
  We propose a superradiant laser based on two-photon Raman transition of
caesium-133 atoms which collectively emit photons on an ultra narrow transition
into the mode of a low Q resonator known as optical bad-cavity regime. The
spin-spin correlation which characterizes the collective effect is
demonstrated. We theoretically predict that the optical radiation has an
extremely narrow linewidth in the 98 (1) *10-2 mHz range, smaller than the
transition itself due to collective effects, and a power level of 7 (1)*10-10 W
is possible, which can provide a possible new way to realize an optical clock
with a millihertz linewidth.


title:
Terahertz transition radiation of bulk and surface electromagnetic waves
  by an electron entering a layered superconductor

abstract:
  We theoretically study the transition radiation of bulk and surface
electromagnetic waves by an electron crossing an interface between a layered
superconductor and an isotropic dielectric. We assume that the direction of the
electron motion and the orientation of the superconducting layers are
perpendicular to the interface. We derive the analytical expressions for the
strongly anisotropic radiation fields and for the time-integrated energy fluxes
of bulk and oblique surface electromagnetic waves (OSWs). We show that the OSWs
with frequencies close to the Josephson plasma frequency $\omega_J$ provide the
main contribution to the OSWs energy flux. Moreover, for frequencies close to
the Josephson plasma frequency, the spectral density of the OSWs radiation
diverges at some critical value of the azimuth angle $\varphi$. At the angles
$\varphi=0$ and $\varphi=90^o$, the radiation field has a transverse magnetic
polarization. We have also studied the Cherenkov radiation by the electron
escaping from the layered superconductor and show that this radiation is almost
monochromatic. A remarkable feature of the Cherenkov radiation in a layered
superconductor is that, contrary to the isotropic case, the Cherenkov radiation
distinctly manifests itself in the angular dependence of the radiation energy
flux.


title: Explicit construction of companion bases

abstract:
  We present a simple procedure for explicitly constructing a companion basis
for a quiver mutation equivalent to a simply-laced Dynkin quiver.


title: On monomial ideals whose Lyubeznik resolution is minimal

abstract:
  For a monomial ideal $I$, let $G(I)$ be its minimal set of monomial
generators. If there is a total order on $G(I)$ such that the corresponding
Lyubeznik resolution of $I$ is a minimal free resolution of $I$, then $I$ is
called a Lyubeznik ideal. In this paper, we characterize the Lyubeznik ideals,
and we discover some classes of Lyubeznik ideals.


title: A Note on Tetrablock Contractions

abstract:
  A commuting triple of operators $(A,B,P)$ on a Hilbert space $\mathcal{H}$ is
called a tetrablock contraction if the closure of the set $$ E =
\{\underline{x}=(x_1,x_2,x_3)\in \mathbb{C}^3:
  1-x_1z-x_2w+x_3zw \neq 0 \text{whenever}|z| \leq 1\text{and}|w| \leq 1 \} $$
is a spectral set. In this paper, we have constructed a functional model and
produced a complete unitary invariant for a pure tetrablock contraction. In
this construction, the fundamental operators, which are the unique solutions of
the operator equations $$ A-B^*P = D_PX_1D_P \text{and} B-A^*P=D_PX_2D_P,
\text{where $X_1,X_2 \in \mathcal{B}(\mathcal{D}_P)$}, $$ play a big role. As a
corollary to the functional model, we show that every pure tetrablock isometry
$(A,B,P)$ on a Hilbert space $\mathcal{H}$ is unitarily equivalent to
$(M_{G_1^*+G_2z}, M_{G_2^*+G_1z},M_z)$ on
$H^2_{\mathcal{D}_{P^*}}(\mathbb{D})$, where $G_1$ and $G_2$ are the
fundamental operators of $(A^*,B^*,P^*)$. We prove a Beurling-Lax-Halmos type
theorem for a triple of operators $(M_{F_1^*+F_2z},M_{F_2^*+F_1z},M_z)$, where
$\mathcal{E}$ is a Hilbert space and $F_1,F_2 \in \mathcal{B}(\mathcal{E})$. We
deal with a natural example of tetrablock contraction on functions space to
find out its fundamental operators.


title: Towards a microeconomic theory of the finance-driven business cycle

abstract:
  I sketch a program for a microeconomic theory of the main component of the
business cycle as a recurring disequilibrium, driven by incompleteness of the
financial market and by information asymmetries between borrowers and lenders.
This proposal seeks to incorporate five distinct but connected processes that
have been discussed at varying lengths in the literature: the leverage cycle,
financial panic, debt deflation, debt overhang, and deleveraging of households.
In the wake of the 2007-08 financial crisis, policy responses by central banks
have addressed only financial panic and debt deflation. Debt overhang and the
slowness of household deleveraging account for the Keynesian "excessive saving"
seen in recessions, which raises questions about the suitability of the
standard Keynesian remedies.


title: Perfect Sets and $f$-Ideals

abstract:
  A square-free monomial ideal $I$ is called an {\it $f$-ideal}, if both
$\delta_{\mathcal{F}}(I)$ and $\delta_{\mathcal{N}}(I)$ have the same
$f$-vector, where $\delta_{\mathcal{F}}(I)$ ($\delta_{\mathcal{N}}(I)$,
respectively) is the facet (Stanley-Reisner, respectively) complex related to
$I$. In this paper, we introduce and study perfect subsets of $2^{[n]}$ and use
them to characterize the $f$-ideals of degree $d$. We give a decomposition of
$V(n, 2)$ by taking advantage of a correspondence between graphs and sets of
square-free monomials of degree $2$, and then give a formula for counting the
number of $f$-ideals of degree $2$, where $V(n, 2)$ is the set of $f$-ideals of
degree 2 in $K[x_1,\ldots,x_n]$. We also consider the relation between an
$f$-ideal and an unmixed monomial ideal.


title: On the $(n, d)^{th}$ $f$-Ideals

abstract:
  A square-free monomial ideal $I$ is called an {\it $f$-ideal}, if both
$\delta_{\mathcal{F}}(I)$ and $\delta_{\mathcal{N}}(I)$ have the same
$f$-vector, where $\delta_{\mathcal{F}}(I)$ ($\delta_{\mathcal{N}}(I)$,
respectively) is the facet (Stanley-Reisner, respectively) complex related to
$I$. In this paper, we introduce the concepts of perfect set containing $k$ and
perfect set without $k$. We study the $(n, d)^{th}$ perfect sets and show that
$V(n, d) \neq \emptyset$ for $d \geq 2$ and $n \geq d+2$. Then we give some
algorithms to construct $(n, d)^{th}$ $f$-ideals and show an upper bound for
the $(n, d)^{th}$ perfect number.


title: Spin Operator and Entanglement in Quantum Field Theory

abstract:
  Entanglement is studied in the framework of Dyson's S-matrix theory in
relativistic quantum field theory, which leads to a natural definition of
entangled states of a particle-antiparticle pair and the spin operator from a
Noether current. As an explicit example, the decay of a massive pseudo-scalar
particle into a pair of electron and positron is analyzed. Two spin operators
are extracted from the Noether current. The Wigner spin operator characterizes
spin states at the rest frame of each fermion and, although not measurable in
the laboratory, gives rise to a straightforward generalization of low energy
analysis of entanglement to the ultra-relativistic domain. In contrast, if one
adopts a (modified) Dirac spin operator, the entanglement measured by spin
correlation becomes maximal near the threshold of the decay, while the
entanglement is replaced by the classical correlation for the
ultra-relativistic electron-positron pair by analogy to the case of neutrinos,
for which a hidden-variables-type description is possible. Chiral symmetry
differentiates the spin angular momentum and the magnetic moment. The use of
weak interaction that can measure helicity is suggested in the analysis of
entanglement at high energies instead of a Stern-Gerlach apparatus which is
useless for the electron. A difference between the electron spin at high
energies and the photon linear polarization is also noted. The Standard Model
can describe all the observable properties of leptons.


title: Monomial ideals under ideal operations

abstract:
  In this paper, we show for a monomial ideal $I$ of $K[x_1,x_2,\ldots,x_n]$
that the integral closure $\ol{I}$ is a monomial ideal of Borel type
(Borel-fixed, strongly stable, lexsegment, or universal lexsegment
respectively), if $I$ has the same property. We also show that the $k^{th}$
symbolic power $I^{(k)}$ of $I$ preserves the properties of Borel type,
Borel-fixed and strongly stable, and $I^{(k)}$ is lexsegment if $I$ is stably
lexsegment. For a monomial ideal $I$ and a monomial prime ideal $P$, a new
ideal $J(I, P)$ is studied, which also gives a clear description of the primary
decomposition of $I^{(k)}$. Then a new simplicial complex $_J\bigtriangleup$ of
a monomial ideal $J$ is defined, and it is shown that
$I_{_J\bigtriangleup^{\vee}} = \sqrt{J}$. Finally, we show under an additional
weak assumption that a monomial ideal is universal lexsegment if and only if
its polarization is a squarefree strongly stable ideal.


title: Derived equivalences between symmetric special biserial algebras

abstract:
  The notion of mutation plays crucial roles in representation theory of
algebras. Two kinds of mutation are well-known: tilting/silting mutation and
quiver-mutation. In this paper, we focus on tilting mutation for symmetric
algebras. Introducing mutation of SB quivers, we explicitly give a
combinatorial description of tilting mutation of symmetric special biserial
algebras. As an application, we generalize Rickard's star theorem. We also
introduce flip of Brauer graphs and apply our results to Brauer graph algebras.


title:
Cellphone based Portable Bacteria Pre-Concentrating microfluidic Sensor
  and Impedance Sensing System

abstract:
  Portable low-cost sensors and sensing systems for the identification and
quantitative measurement of bacteria in field water are critical in preventing
drinking water from being contaminated by bacteria. In this article, we
reported the design, fabrication and testing of a low-cost, miniaturized and
sensitive bacteria sensor based on electrical impedance spectroscopy method
using a smartphone as the platform. Our design of microfluidics enabled the
pre-concentration of the bacteria which lowered the detection limit to 10
bacterial cells per milliliter. We envision that our demonstrated
smartphone-based sensing system will realize highly-sensitive and rapid
in-field quantification of multiple species of bacteria and pathogens.


title: Generalized Kashaev invariants for knots in three manifolds

abstract:
  Kashaev's invariants for a knot in a three sphere are generalized to
invariants of a knot in a three manifold. A relation between the newly
constructed invariants and the hyperbolic volume of the knot complement is
observed for some knots in lens spaces.


title:
The Objective Past of a Quantum Universe: Redundant Records of
  Consistent Histories

abstract:
  Motivated by the advances of quantum Darwinism and recognizing the role
played by redundancy in identifying the small subset of quantum states with
resilience characteristic of objective classical reality, we explore the
implications of redundant records for consistent histories. The consistent
histories formalism is a tool for describing sequences of events taking place
in an evolving closed quantum system. A set of histories is consistent when one
can reason about them using Boolean logic, i.e., when probabilities of
sequences of events that define histories are additive. However, the vast
majority of the sets of histories that are merely consistent are flagrantly
non-classical in other respects. This embarras de richesses (known as the set
selection problem) suggests that one must go beyond consistency to identify how
the classical past arises in our quantum Universe. The key intuition we follow
is that the records of events that define the familiar objective past are
inscribed in many distinct systems, e.g., subsystems of the environment, and
are accessible locally in space and time to observers. We identify histories
that are not just consistent but redundantly consistent using the partial-trace
condition introduced by Finkelstein as a bridge between histories and
decoherence. The existence of redundant records is a sufficient condition for
redundant consistency. It selects, from the multitude of the alternative sets
of consistent histories, a small subset endowed with redundant records
characteristic of the objective classical past. The information about an
objective history of the past is then simultaneously within reach of many, who
can independently reconstruct it and arrive at compatible conclusions in the
present.


title:
Semidefinite programming and eigenvalue bounds for the graph partition
  problem

abstract:
  The graph partition problem is the problem of partitioning the vertex set of
a graph into a fixed number of sets of given sizes such that the sum of weights
of edges joining different sets is optimized. In this paper we simplify a known
matrix-lifting semidefinite programming relaxation of the graph partition
problem for several classes of graphs and also show how to aggregate additional
triangle and independent set constraints for graphs with symmetry. We present
an eigenvalue bound for the graph partition problem of a strongly regular
graph, extending a similar result for the equipartition problem. We also derive
a linear programming bound of the graph partition problem for certain Johnson
and Kneser graphs. Using what we call the Laplacian algebra of a graph, we
derive an eigenvalue bound for the graph partition problem that is the first
known closed form bound that is applicable to any graph, thereby extending a
well-known result in spectral graph theory. Finally, we strengthen a known
semidefinite programming relaxation of a specific quadratic assignment problem
and the above-mentioned matrix-lifting semidefinite programming relaxation by
adding two constraints that correspond to assigning two vertices of the graph
to different parts of the partition. This strengthening performs well on highly
symmetric graphs when other relaxations provide weak or trivial bounds.


title:
State Transition Analysis of Time-Frequency Resource Conversion-based
  Call Admission Control for LTE-Type Cellular Network

abstract:
  To address network congestion stemmed from traffic generated by advanced user
equipments, in [1] we propose a novel network resource allocation strategy,
time-frequency resource conversion (TFRC), via exploiting user behavior, a
specific kind of context information. Considering an LTE-type cellular network,
a call admission control policy called double-threshold guard channel policy is
proposed there to facilitate the implementation of TFRC. In this report, we
present state transition analysis of this TFRC-based call admission control
policy for an LTE-type cellular network. Overall, there are five categories of
events that can trigger a transition of the system state: 1) a new call
arrival; 2) a handoff user arrival; 3) a handoff user departure; 4) a call
termination; and 5) a periodic time-frequency resource conversion. We analyze
them case by case in this report and the validation of the analysis has been
provided in [1].


title: Properties of Solar Ephemeral Regions at the Emergence Stage

abstract:
  For the first time, we statistically study the properties of ephemeral
regions (ERs) and quantitatively determine their parameters at the emergence
stage based on a sample of 2988 ERs observed by the \emph{Solar Dynamics
Observatory}. During the emergence process, there are three kinds of kinematic
performances, i.e., separation of dipolar patches, shift of ER's magnetic
centroid, and rotation of ER's axis. The average emergence duration, flux
emergence rate, separation velocity, shift velocity, and angular speed are 49.3
min, 2.6 $\times$ 10$^{15}$ Mx s$^{-1}$, 1.1 km s$^{-1}$, 0.9 km s$^{-1}$, and
0$\degr$.6 min$^{-1}$, respectively. At the end of emergence, the mean magnetic
flux, separation distance, shift distance, and rotation angle are 9.3 $\times$
10$^{18}$ Mx, 4.7 Mm, 1.1 Mm, and 12$\degr$.9, respectively. We also find that
the higher the ER magnetic flux is, (1) the longer the emergence lasts, (2) the
higher the flux emergence rate is, (3) the further the two polarities separate,
(4) the lower the separation velocity is, (5) the larger the shift distance is,
(6) the slower the ER shifts, and (7) the lower the rotation speed is. However,
the rotation angle seems not to depend on the magnetic flux. Not only at the
start time, but also at the end time, the ERs are randomly oriented in both the
northern and the southern hemispheres. Besides, neither the anticlockwise
rotated ERs, nor the clockwise rotated ones dominate the northern or the
southern hemisphere.


title:
Inferring Regulatory Networks by Combining Perturbation Screens and
  Steady State Gene Expression Profiles

abstract:
  Reconstructing transcriptional regulatory networks is an important task in
functional genomics. Data obtained from experiments that perturb genes by
knockouts or RNA interference contain useful information for addressing this
reconstruction problem. However, such data can be limited in size and/or are
expensive to acquire. On the other hand, observational data of the organism in
steady state (e.g. wild-type) are more readily available, but their
informational content is inadequate for the task at hand. We develop a
computational approach to appropriately utilize both data sources for
estimating a regulatory network. The proposed approach is based on a three-step
algorithm to estimate the underlying directed but cyclic network, that uses as
input both perturbation screens and steady state gene expression data. In the
first step, the algorithm determines causal orderings of the genes that are
consistent with the perturbation data, by combining an exhaustive search method
with a fast heuristic that in turn couples a Monte Carlo technique with a fast
search algorithm. In the second step, for each obtained causal ordering, a
regulatory network is estimated using a penalized likelihood based method,
while in the third step a consensus network is constructed from the highest
scored ones. Extensive computational experiments show that the algorithm
performs well in reconstructing the underlying network and clearly outperforms
competing approaches that rely only on a single data source. Further, it is
established that the algorithm produces a consistent estimate of the regulatory
network.


title:
A Unifying Framework for the Electrical Structure-Based Approach to PMU
  Placement in Electric Power Systems

abstract:
  The electrical structure of the power grid is utilized to address the phasor
measurement unit (PMU) placement problem. First, we derive the connectivity
matrix of the network using the resistance distance metric and employ it in the
linear program formulation to obtain the optimal number of PMUs, for complete
network observability without zero injection measurements. This approach was
developed by the author in an earlier work, but the solution methodology to
address the location problem did not fully utilize the electrical properties of
the network, resulting in an ambiguity. In this paper, we settle this issue by
exploiting the coupling structure of the grid derived using the singular value
decomposition (SVD)-based analysis of the resistance distance matrix to solve
the location problem. Our study, which is based on recent advances in complex
networks that promote the electrical structure of the grid over its topological
structure and the SVD analysis which throws light on the electrical coupling of
the network, results in a unified framework for the electrical structure-based
PMU placement. The proposed method is tested on IEEE bus systems, and the
results uncover intriguing connections between the singular vectors and average
resistance distance between buses in the network.


title:
Puzzling accretion onto a black hole in the ultraluminous X-ray source
  M101 ULX-1

abstract:
  There are two proposed explanations for ultraluminous X-ray sources (ULXs)
with luminosities in excess of $10^{39}$ erg s$^{-1}$. They could be
intermediate-mass black holes (more than 100-1,000, solar masses, $M_\odot$)
radiating at sub-maximal (sub-Eddington) rates, as in Galactic black-hole X-ray
binaries but with larger, cooler accretion disks. Alternatively, they could be
stellar-mass black holes radiating at Eddington or super-Eddington rates. On
its discovery, M101 ULX-1 had a luminosity of $3\times10^{39}$ erg s$^{-1}$ and
a supersoft thermal disk spectrum with an exceptionally low temperature --
uncomplicated by photons energized by a corona of hot electrons -- more
consistent with the expected appearance of an accreting intermediate-mass black
hole. Here we report optical spectroscopic monitoring of M101 ULX-1. We confirm
the previous suggestion that the system contains a Wolf-Rayet star, and reveal
that the orbital period is 8.2 days. The black hole has a minimum mass of
$5M_\odot$, and more probably a mass of $20-30M_\odot$, but we argue that it is
very unlikely to be an intermediate-mass black hole. Therefore its
exceptionally soft spectra at high Eddinton ratios violate the expectations for
accretion onto stellar-mass black holes. Accretion must occur from captured
stellar wind, which has hitherto been thought to be so inefficient that it
could not power an ultraluminous source.


title: Non-Archimedean analytic geometry as relative algebraic geometry

abstract:
  We show that Berkovich analytic geometry can be viewed as relative algebraic
geometry in the sense of To\"{e}n--Vaqui\'{e}--Vezzosi over the category of
non-Archimedean Banach spaces. For any closed symmetric monoidal quasi-abelian
category we can define a topology on certain subcategories of the of the
category of affine schemes with respect to this category. By examining this
topology for the category of Banach spaces we recover the G-topology or the
topology of admissible subsets on affinoids which is used in analytic geometry.
This gives a functor of points approach to non-Archimedean analytic geometry
and in this way we also get definitions of (higher) non-Archimedean analytic
stacks. We demonstrate that the category of Berkovich analytic spaces embeds
fully faithfully into the category of varieties in our version of relative
algebraic geometry. We also include a treatment of quasi-coherent sheaf theory
in analytic geometry. Along the way, we use heavily the homological algebra in
quasi-abelian categories developed by Schneiders.


title:
Rigidity of pairs of quasiregular mappings whose symmetric part of
  gradient are close

abstract:
  For $A\in M^{2\times 2}$ let $S(A)=\sqrt{A^T A}$, i.e. the symmetric part of
the polar decomposition of $A$. We consider the relation between two
quasiregular mappings whose symmetric part of gradient are close. Our main
result is the following. Suppose $v,u\in W^{1,2}(B_1(0):\mathbb{R}^2)$ are
$Q$-quasiregular mappings with $\int_{B_1(0)} \det(Du)^{-p} dz\leq C_p$ for
some $p\in (0,1)$ and $\int_{B_1(0)} |Du|^2 dz\leq 1$. There exists constant
$M>1$ such that if $$ \int_{B_1(0)} |S(Du)-S(Dv)|^2 dz=\epsilon $$ then $$
\int_{B_{\frac{1}{2}}(0)} |Dv-R Du| dz\leq c
C_p^{\frac{1}{p}}\epsilon^{\frac{p^3}{M Q^5\log(10 C_p Q)}}\text{ for some
}R\in SO(2). $$
  Taking $u=Id$ we obtain a special case of the quantitative rigidity result of
Friesecke, James and Muller. Our main result can be considered as a first step
in a new line of generalization of F-J-M Theorem in which $Id$ is replaced by a
mapping of non-trivial degree.


title:
Living in a Low Density Black Hole, Non-Expanding Universe - Perhaps a
  Reflecting Universe

abstract:
  What is the average density of a black hole, assuming its spin can prevent it
from collapsing into a singularity? For stellar black holes, the average
density is incredibly dense and has over a trillion G force and tidal force
that will rip almost anything apart at the black hole boundary.
  Surprisingly, the average density decreases dramatically for massive black
holes. A black hole of 387 million solar masses would have the average density
of water and would be comparable to a giant water balloon extending from the
sun almost to Jupiter. A black hole of 11 billion solar masses would have the
average density of air and would be analogous to a giant air filled party
balloon extending 2.5 times farther out than Pluto. The average mass density in
space itself, however small, eventually can become a low density black hole. If
the average density of the universe matches the critical density of just 5.67
hydrogen atoms per cubic meter, it would form a Schwarzschild low density black
hole of approximately 13.8 billion light years, matching the big bang model of
the universe.
  A black hole can use rotation and/or charge to keep from collapsing. The G
and tidal forces become negligible for large low density black holes. Thus one
can be living in a large low density black hole and not know it. Further
analysis about the critical density rules out an expanding universe and
disproves the big bang theory. Higher densities could produce a much smaller
reflecting universe.


title: The TTC 2013 Flowgraphs Case

abstract:
  This case for the Transformation Tool Contest 2013 is about evaluating the
scope and usability of transformation languages and tools for a set of four
tasks requiring very different capabilities. One task deals with typical
model-to-model transformation problem, there's a model-to-text problem, there
are two in-place transformation problems, and finally there's a task dealing
with validation of models resulting from the transformations.
  The tasks build upon each other, but the transformation case project also
provides all intermediate models, thus making it possible to skip tasks that
are not suited for a particular tool, or for parallelizing the work among
members of participating teams.


title: The Petri-Nets to Statecharts Transformation Case

abstract:
  This paper describes a case study for the sixth Transformation Tool Contest.
The case is based on a mapping from Petri-Nets to statecharts (i.e., from flat
process models to hierarchical ones). The case description separates a simple
mapping phase from a phase that involves the step by step destruction Petri-Net
elements and the corresponding construction of a hierarchy of statechart
elements. Although the focus of this case study is on the comparison of the
runtime performance of solutions, we also include correctness tests as well as
bonus criteria for evaluating transformation language and tool features.


title: Analyzing Flowgraphs with ATL

abstract:
  This paper presents a solution to the Flowgraphs case study for the
Transformation Tool Contest 2013 (TTC 2013). Starting from Java source code, we
execute a chain of model transformations to derive a simplified model of the
program, its control flow graph and its data flow graph. Finally we develop a
model transformation that validates the program flow by comparing it with a set
of flow specifications written in a domain specific language. The proposed
solution has been implemented using ATL.


title: An NMF solution for the Flowgraphs case at the TTC 2013

abstract:
  Software systems are getting more and more complex. Model-driven engineering
(MDE) offers ways to handle such increased complexity by lifting development to
a higher level of abstraction. A key part in MDE are transformations that
transform any given model into another. These transformations are used to
generate all kinds of software artifacts from models. However, there is little
consensus about the transformation tools. Thus, the Transformation Tool Contest
(TTC) 2013 aims to compare different transformation engines. This is achieved
through three different cases that have to be tackled. One of these cases is
the Flowgraphs case. A solution has to transform a Java code model into a
simplified version and has to derive control and data flow. This paper presents
the solution for this case using NMF Transformations as transformation engine.


title: Optimal Transportation for Generalized Lagrangian

abstract:
  In this paper, we study the optimal transportation for generalized Lagrangian
$L=L(x, u,t)$, and consider the cost function as following: $$c(x,
y)=\inf_{\substack{x(0)=x\\x(1)=y\\u\in\mathcal{U}}}\int_0^1L(x(s), u(x(s),s),
s)ds.$$ Where $\mathcal{U}$ is a control set, and $x$ satisfies the following
ordinary equation: $$\dot{x}(s)=f(x(s),u(x(s),s)).$$ We prove that under the
condition that the initial measure $\mu_0$ is absolutely continuous w.r.t. the
Lebesgue measure, the Monge problem has a solution, and the optimal transport
map just walks along the characteristic curves of the corresponding
Hamilton-Jacobi equation: \begin{equation*} \begin{cases} V_t(t,
x)+\sup_{\substack{u\in\mathcal{U}}}<V_x(t, x), f(x, u(x(t), t),t)-L(x(t),
u(x(t), t),t)>=0.\\ V(0,x)=\phi_0(x) \end{cases} \end{equation*}


title: Solving the Flowgraphs Case with Eclectic

abstract:
  This paper presents a solution for the Flow Graphs case of the Transformation
Tool Contest 2013, using the Eclectic model transformation tool. The solution
makes use of several languages of Eclectic, showing how it is possible to
combine them to address a non-trivial transformation problem in a concise and
modulary way.


title: Solving the TTC 2013 Flowgraphs Case with FunnyQT

abstract:
  FunnyQT is a model querying and model transformation library for the
functional Lisp-dialect Clojure providing a rich and efficient querying and
transformation API.
  This paper describes the FunnyQT solution to the TTC 2013 Flowgraphs
Transformation Case. It solves all four tasks, and it has won the best
efficiency award for this case.


title:
A Solution to the Flowgraphs Case Study using Triple Graph Grammars and
  eMoflon

abstract:
  After 20 years of Triple Graph Grammars (TGGs) and numerous actively
maintained implementations, there is now a need for challenging examples and
success stories to show that TGGs can be used for real-world bidirectional
model transformations. Our primary goal in recent years has been to increase
the expressiveness of TGGs by providing a set of pragmatic features that allow
a controlled fallback to programmed graph transformations and Java.
  Based on the Flowgraphs case study of the Transformation Tool Contest (TTC
2013), we present (i) attribute constraints used to express complex
bidirectional attribute manipulation, (ii) binding expressions for specifying
arbitrary context relationships, and (iii) post-processing methods as a black
box extension for TGG rules. In each case, we discuss the enabled trade-off
between guaranteed formal properties and expressiveness. Our solution,
implemented with our metamodelling and model transformation tool eMoflon
(www.emoflon.org), is available as a virtual machine hosted on Share.


title: Solving the Class Diagram Restructuring Transformation Case with FunnyQT

abstract:
  FunnyQT is a model querying and model transformation library for the
functional Lisp-dialect Clojure providing a rich and efficient querying and
transformation API.
  This paper describes the FunnyQT solution to the TTC 2013 Class Diagram
Restructuring Transformation Case. This solution and the GROOVE solution share
the best overall solution award for this case.


title: Class Diagram Restructuring with GROOVE

abstract:
  This paper describes the GROOVE solution to the "Class Diagram Restructuring"
case study of the Tool Transformation Contest 2013. We show that the visual
rule formalism enables the required restructuring to be formulated in a very
concise manner. Moreover, the GROOVE functionality for state space exploration
allows checking confluence. Performance-wise, however, the solution does not
scale well.


title: Solving the Petri-Nets to Statecharts Transformation Case with FunnyQT

abstract:
  FunnyQT is a model querying and model transformation library for the
functional Lisp-dialect Clojure providing a rich and efficient querying and
transformation API.
  This paper describes the FunnyQT solution to the TTC 2013 Petri-Nets to
Statcharts Transformation Case. This solution has won the best overall solution
award and the best efficiency award for this case.


title: Solving the Petri-Nets to Statecharts Transformation Case with UML-RSDS

abstract:
  This paper provides a solution to the Petri-Nets to statecharts case using
UML-RSDS. We show how a highly declarative solution which is confluent and
invertible can be given using this approach.


title: A Comparison of Six Methods for Stabilizing Population Dynamics

abstract:
  Over the last two decades, several methods have been proposed for stabilizing
the dynamics of biological populations. However, these methods have typically
been evaluated using different population dynamics models and in the context of
very different concepts of stability, which makes it difficult to compare their
relative efficiencies. Moreover, since the dynamics of populations are
dependent on the life-history of the species and its environment, it is
conceivable that the stabilizing effects of control methods would also be
affected by such factors, a complication that has typically not been
investigated. In this study we compare six different control methods with
respect to their efficiency at inducing a common level of enhancement (50%
increase) for two kinds of stability (constancy and persistence) under four
different life history/ environment combinations. Since these methods have been
analytically studied elsewhere, we focus on an intuitive understanding of
realistic simulations incorporating noise, extinction probability and lattice
effect. We show that for these six methods, even when the magnitude of
stabilization attained is the same, other aspects of the dynamics like
population size distribution can be very different. Consequently, correlated
aspects of stability, like the amount of persistence for a given degree of
constancy stability (and vice versa) or the corresponding effective population
size (a measure of resistance to genetic drift) vary widely among the methods.
Moreover, the number of organisms needed to be added or removed to attain
similar levels of stabilization also varies for these methods, a fact that has
economic implications. Finally, we compare the relative efficiency of these
methods through a composite index of various stability related measures. We
find that restocking to a constant lower threshold seems to be the optimal
method under most conditions.


title: PN2SC Case Study: An EMF-IncQuery solution

abstract:
  The paper presents a solution for the Petri-Net to Statecharts case study of
the Transformation Tool Contest 2013, using EMF-IncQuery and Xtend for
implementing the model transformation.


title: Formulas vs. Circuits for Small Distance Connectivity

abstract:
  We give the first super-polynomial separation in the power of bounded-depth
boolean formulas vs. circuits. Specifically, we consider the problem Distance
$k(n)$ Connectivity, which asks whether two specified nodes in a graph of size
$n$ are connected by a path of length at most $k(n)$. This problem is solvable
(by the recursive doubling technique) on {\bf circuits} of depth $O(\log k)$
and size $O(kn^3)$. In contrast, we show that solving this problem on {\bf
formulas} of depth $\log n/(\log\log n)^{O(1)}$ requires size $n^{\Omega(\log
k)}$ for all $k(n) \leq \log\log n$. As corollaries:
  (i) It follows that polynomial-size circuits for Distance $k(n)$ Connectivity
require depth $\Omega(\log k)$ for all $k(n) \leq \log\log n$. This matches the
upper bound from recursive doubling and improves a previous $\Omega(\log\log
k)$ lower bound of Beame, Pitassi and Impagliazzo [BIP98].
  (ii) We get a tight lower bound of $s^{\Omega(d)}$ on the size required to
simulate size-$s$ depth-$d$ circuits by depth-$d$ formulas for all $s(n) =
n^{O(1)}$ and $d(n) \leq \log\log\log n$. No lower bound better than
$s^{\Omega(1)}$ was previously known for any $d(n) \nleq O(1)$.
  Our proof technique is centered on a new notion of pathset complexity, which
roughly speaking measures the minimum cost of constructing a set of (partial)
paths in a universe of size $n$ via the operations of union and relational
join, subject to certain density constraints. Half of our proof shows that
bounded-depth formulas solving Distance $k(n)$ Connectivity imply upper bounds
on pathset complexity. The other half is a combinatorial lower bound on pathset
complexity.


title:
Applying AOSE Concepts to Model Crosscutting Variability in Variant-Rich
  Processes

abstract:
  Software process models need to be variant-rich, in the sense that they
should be systematically customizable to specific project goals and project
environments. It is currently very difficult to model Variant-Rich Process
(VRP) because variability mechanisms are largely missing in modern process
modeling languages. Variability mechanisms from other domains, such as
programming languages, might be suitable for the representation of variability
and could be adapted to the modeling of software processes. Mechanisms from
Software Product Line Engineering (SPLE) and concepts from Aspect- Oriented
Software Engineering (AOSE) show particular promise when modeling variability.
This paper presents an approach that integrates variability concepts from SPLE
and AOSE in the design of a VRP approach for the systematic support of
tailoring in software processes. This approach has also been implemented in
SPEM, resulting in the vSPEM notation. It has been used in a pilot application,
which indicates that our approach based on AOSE can make process tailoring
easier and more productive.


title:
The spatial distribution of dark-matter-annihilation originated
  gamma-ray line signal

abstract:
  The GeV$-$TeV $\gamma-$ray line signal is the smoking gun signature of the
dark matter annihilation or decay. The detection of such a signal is one of the
main targets of some space-based telescopes, including Fermi-LAT and the
upcoming CALET, DAMPE and Gamma-400. An important feature of the
dark-matter-annihilation originated $\gamma-$ray line photons is their
concentration at the center of the Galaxy. So far no reliable $\gamma-$ray line
has been detected by Fermi-LAT and the upper limits on the cross section of
annihilation into $\gamma-$rays have been reported. We use these upper limits
to estimate the "maximal" number of $\gamma-$ray line photons detectable for
Fermi-LAT, DAMPE and Gamma-400 and then investigate the spatial distribution of
these photons. We show that usually the center of the distribution region will
be offset from the Galactic centre (Sgr A$^{\star}$) due to the limited
statistics. Such a result is almost independent of the dark matter distribution
models and renders the reconstruction of the dark matter distribution with the
$\gamma-$ray line signal very challenging for the foreseeable space-based
detectors.


title:
Dark matter halo assembly bias: environmental dependence in the
  non-Markovian excursion set theory

abstract:
  In the standard excursion set model for the growth of structure, the
statistical properties of halos are governed by the halo mass and are
independent of the larger scale environment in which the halos reside.
Numerical simulations, however, have found the spatial distributions of halos
to depend not only on their mass but also on the details of their assembly
history and environment. Here we present a theoretical framework for
incorporating this "assembly bias" into the excursion set model. Our
derivations are based on modifications of the path integral approach of
Maggiore & Riotto (2010) that models halo formation as a non-Markovian random
walk process. The perturbed density field is assumed to evolve stochastically
with the smoothing scale and exhibits correlated walks in the presence of a
density barrier. We write down conditional probabilities for multiple barrier
crossings, and derive from them analytic expressions for descendant and
progenitor halo mass functions and halo merger rates as a function of both halo
mass and the linear overdensity of the larger-scale environment of the halo.
Our results predict a higher halo merger rate and higher progenitor halo mass
function in regions of higher overdensity, consistent with the behavior seen in
N-body simulations.


title:
Multi- Physics analysis of the RFQ for the Injector Scheme II of CADS
  Driver Linac

abstract:
  A 162.5 MHz, 2.1 MeV Radio Frequency Quadruples (RFQ) structure is being
designed for the Injector Scheme II of China Accelerator Driver System (CADS)
driver linac. The RFQ will operate at continuous wave (CW) mode as required.
For the CW normal conducting machine, the heat management will be one of the
most important issues, since the temperature fluctuation may cause cavity
deformation and leading to the resonant frequency shift. Therefor a detailed
multi-physics analysis is necessary to ensure that the cavity can be stably
worked at the required power level. The multi-physics analysis process includes
RF Electromagnetic analysis, Thermal analysis, Mechnical analysis, and this
process will be iterated for several cycles until the satisfied solution can be
found. As one of the widely accepted measures, the cooling water system is used
for frequency fine tunning, so the tunning capability of the cooling water
system is also studied at different conditions. The results indicate that with
the cooling water system, both the temperature rise and the frequency shift can
be controlled in an acceptable level.


title: Optimized quantum state transfer through an XY spin chain

abstract:
  Quantum state transfer along a one-dimensional spin chain has become a
fundamental ingredient for quantum communication between distant nodes in a
quantum network. We study the average fidelity of quantum state transfer (QST)
along a XY spin chain by adjusting the basis identification between the first
spin and the last spin. In a proper choice of the basis identification, we find
that the QST fidelity depends only on the average parity of the initial state
linearly. We propose a simple scheme to adjusting the basis identification to
optimize the average fidelity such that it depends linearly on the absolute
value of the average parity. In the case that the absolute value of the average
parity is $1$ we prove that the fidelity takes the maximum at any time over
arbitrary initial state and basis identification.


title: On edge-colorings of bicubic planar graphs

abstract:
  In the first part, we introduce a notion a degree of edge-colorings of
bicubic plane graphs and proves some local formula of the graded number of
colorings. In the second part, we give a new proof of a result of Fisk saying
that any two edge-3-colorings of a planar bicubic graph are Kempe equivalent.
Additionaly we show that the degree of colorings behaves well with respect to
Kempe equivalence.


title:
Computation of Composition Functions and Invariant Vector Fields in
  Terms of Structure Constants of Associated Lie Algebras

abstract:
  Methods of construction of the composition function, left- and
right-invariant vector fields and differential 1-forms of a Lie group from the
structure constants of the associated Lie algebra are proposed. It is shown
that in the second canonical coordinates these problems are reduced to the
matrix inversions and matrix exponentiations, and the composition function can
be represented in quadratures. Moreover, it is proven that the transition
function from the first canonical coordinates to the second canonical
coordinates can be found by quadratures.


title:
Optimal Stochastic Coordinated Beamforming for Wireless Cooperative
  Networks with CSI Uncertainty

abstract:
  Transmit optimization and resource allocation for wireless cooperative
networks with channel state information (CSI) uncertainty are important but
challenging problems in terms of both the uncertainty modeling and performance
op- timization. In this paper, we establish a generic stochastic coordinated
beamforming (SCB) framework that provides flex- ibility in the channel
uncertainty modeling, while guaranteeing optimality in the transmission
strategies. We adopt a general stochastic model for the CSI uncertainty, which
is applicable for various practical scenarios. The SCB problem turns out to be
a joint chance constrained program (JCCP) and is known to be highly
intractable. In contrast to all the previous algo- rithms for JCCP that can
only find feasible but sub-optimal solutions, we propose a novel stochastic DC
(difference-of-convex) programming algorithm with optimality guarantee, which
can serve as the benchmark for evaluating heuristic and sub-optimal algorithms.
The key observation is that the highly intractable probability constraint can
be equivalently reformulated as a DC constraint. This further enables efficient
algorithms to achieve optimality. Simulation results will illustrate the
convergence, conservativeness, stability and performance gains of the proposed
algorithm.


title: Genuine Irregular Galaxies as a Relic of Building Blocks of Galaxies

abstract:
  In order to understand nature of building blocks of galaxies in the early
universe, we investigate "genuine irregular galaxies (GIGs)" in the nearby
universe. Here, GIGs are defined as isolated galaxies without regular
structures (spheroid, bulge, disk, bar, spiral arm, and nucleus). Using the
results of two excellent studies on galaxy morphology based on the Sloan
Digital Sky Survey (SDSS), we obtain a sample of 66 irregular galaxies. We
carry out new classification of them into GIGs and non-GIGs which have regular
structure or show evidence for galaxy interaction, by using the SDSS Data
Release 10 images. We then find that a half of these irregular galaxies (33/66)
are GIGs and obtain an unambiguous sample of 33 GIGs for the first time. We
discuss their observational properties by comparing them with those of
elliptical, S0, spiral galaxies, and irregular galaxies without the GIGs. We
find that our GIGs have smaller sizes, lower optical luminosities, bluer
rest-frame optical colors, lower surface stellar mass densities, and lower gas
metallicity than normal galaxies. All these properties suggest that they are in
chemically and dynamically younger phases even in the nearby universe.


title: The Law of Total Odds

abstract:
  The law of total probability may be deployed in binary classification
exercises to estimate the unconditional class probabilities if the class
proportions in the training set are not representative of the population class
proportions. We argue that this is not a conceptually sound approach and
suggest an alternative based on the new law of total odds. We quantify the bias
of the total probability estimator of the unconditional class probabilities and
show that the total odds estimator is unbiased. The sample version of the total
odds estimator is shown to coincide with a maximum-likelihood estimator known
from the literature. The law of total odds can also be used for transforming
the conditional class probabilities if independent estimates of the
unconditional class probabilities of the population are available.
  Keywords: Total probability, likelihood ratio, Bayes' formula, binary
classification, relative odds, unbiased estimator, supervised learning, dataset
shift.


title: Imprint of Multi-component Dark Matter on AMS-02

abstract:
  The multi-component decaying dark matter (DM) scenario is investigated to
explain the possible excesses in the positron fraction by PAMELA and recently
confirmed by AMS-02, and in the total $e^+ +e^-$ flux observed by Fermi-LAT. By
performing the $\chi^2$ fits, we find that two DM components are already enough
to give a reasonable fit of both AMS-02 and Fermi-LAT data. The best-fitted
results show that the heavier DM component with its mass 1.5 TeV dominantly
decays through the $\mu$-channel, while the lighter one of 100 GeV mainly
through the $\tau$-channel. As a byproduct, the fine structure around 100 GeV
observed by AMS-02 and Fermi-LAT can be naturally explained by the dropping due
to the lighter DM component. With the obtained model parameters by the fitting,
we calculate the diffuse $\gamma$-ray emission spectrum in this two-component
DM scenario, and find that it is consistent with the data measured by
Fermi-LAT. We also construct a microscopic particle DM model to naturally
realize the two-component DM scenario, and point out an interesting neutrino
signal which is possible to be measured in the near future by IceCube.


title:
Disorder-Driven Superconductor-Insulator Transition in d-Wave
  Superconducting Ultrathin Films

abstract:
  We study the superconductor-insulator transition (SIT) in $d$-wave
superconducting ultrathin films. By means of the kernel polynomial method, the
Bogoliubov-de Gennes equations are solved for square lattices with up to
$360\times 360$ unit cells self-consistently, making it possible to observe
fully the nanoscale spatial fluctuations of the superconducting order
parameters and discriminate accurately the localized quasiparticle states from
the extended ones by the lattice-size scaling of the generalized inverse
participation ratio. It is shown that Anderson localization can not entirely
inhibit the occurrence of the local superconductivity in strongly-disordered
$d$-wave superconductors. Separated by an insulating 'sea' completely, a few
isolated superconducting 'islands' with significant enhancement of the local
superconducting order parameters can survive across the SIT. The
disorder-driven SIT, therefore, is a transition from a $d$-wave superconductor
to a Bose insulator which consists of localized Cooper pairs. Unlike an
$s$-wave superconductor which presents a robust single-particle gap across the
SIT, the optical conductivity of a $d$-wave superconductor reveals a gapless
insulating phase, where the SIT can be detected by observing the disappearance
of the Drude weight with the increasing disorder.


title: On the Gromov hyperbolicity of convex domains in Cn

abstract:
  We give a necessary complex geometric condition for a bounded smooth convex
domain in Cn, endowed with the Kobayashi distance, to be Gromov hyperbolic.
More precisely, we prove that if a smooth bounded convex domain contains an
analytic disk in its boundary, then the domain is not Gromov hyperbolic for the
Kobayashi distance. We also provide examples of bounded smooth convex domains
that are not strongly pseudoconvex but are Gromov hyperbolic.


title: Microscopic approach to string gas cosmology

abstract:
  In this contribution to the proceedings of the Conference on Modern Physics
of Compact Stars and Relativistic Gravity in Yerevan, Armenia (September 18-21,
2013), I review recent work attempting to give a fundamental definition to
string evolution in a dynamical, fully compact universe, and present a sketch
of how the resulting formalism can be used for addressing questions of
phenomenological significance in the field of string gas cosmology.


title:
Stability of the Schwarzschild-de Sitter black hole in the dRGT massive
  gravity theory

abstract:
  The Schwarzschild-de Sitter solution in the Einstein theory with a positive
cosmological constant $\Lambda=m^2/\alpha$ becomes an exact solution to the
dRGT non-linear massive gravity theory with the mass parameter $m$ when the
theory parameters $\alpha$ and $\beta$ satisfy the relation $\beta=\alpha^2$.
We study the perturbative behaviour of this black hole solution in the
non-linear dRGT theory with $\beta=\alpha^2$. We find that the linear
perturbation equations become identical to those for the vacuum Einstein theory
when they are expressed in terms of the gauge-invariant variables. This implies
that this black hole is stable in the dRGT theory as far as the spacetime
structure is concerned in contrast to the case of the bi-Schwarzschild solution
in the bi-metric theory. However, we have also found a pathological feature
that the general solution to the perturbation equations contain a single
arbitrary function of spacetime coordinates. This implies a degeneracy of
dynamics in the St\"uckelberg field sector at the linear perturbation level in
this background. Physical significance of this degenercy depends on how the
St\"uckelberg fields couple observable fields.


title: Statistical Properties of Super-hot Solar Flares

abstract:
  We use RHESSI high-resolution imaging and spectroscopy observations from ~6
to 100 keV to determine the statistical relationships between measured
parameters (temperature, emission measure, etc.) of hot, thermal plasma in 37
intense (GOES M- and X-class) solar flares. The RHESSI data, most sensitive to
the hottest flare plasmas, reveal a strong correlation between the maximum
achieved temperature and the flare GOES class, such that "super-hot"
temperatures >30 MK are achieved almost exclusively by X-class events; the
observed correlation differs significantly from that of GOES-derived
temperatures, and from previous studies. A nearly-ubiquitous association with
high emission measures, electron densities, and instantaneous thermal energies
suggests that super-hot plasmas are physically distinct from cooler, ~10-20 MK
GOES plasmas, and that they require substantially greater energy input during
the flare. High thermal energy densities suggest that super-hot flares require
strong coronal magnetic fields, exceeding ~100 G, and that both the plasma
{\beta} and volume filling factor f cannot be much less than unity in the
super-hot region.

categories: astro-ph.SR astro-ph.HE physics.plasm-ph physics.space-ph


title: Polar Codes: Graph Representation and Duality

abstract:
  In this paper, we present an iterative construction of a polar code and
develop properties of the dual of a polar code. Based on this approach, belief
propagation of a polar code can be presented in the context of low-density
parity check codes.


title: Subcritical mirror structures in an anisotropic plasma

abstract:
  Based on Grad-Shafranov-like equations, a gyrotropic plasma where the
pressures in the static regime are only functions of the amplitude of the local
magnetic field is shown to be amenable to a variational principle with a free
energy density given by the parallel tension. This approach is used to
demonstrate that small- amplitude static holes constructed slightly below the
mirror instability threshold identify with lump solitons of KPII equation and
turn out to be unstable. It is also shown that regularizing effects such as
finite Larmor radius corrections cannot be ignored in the description of
large-amplitude mirror structures.


title:
Precision measurements of $B(D^+ \rightarrow \mu^+ \nu_{\mu})$, the
  pseudoscalar decay constant $f_{D^+}$, and the quark mixing matrix element
  $|V_{\rm cd}|$

abstract:
  We report a measurement of the branching fraction $B(D^+ \rightarrow \mu^+
\nu_{\mu}) = [3.71 \pm 0.19 (\rm stat) \pm 0.06 (\rm sys)]\times 10^{-4}$ based
on 2.92 ${\rm fb^{-1}}$ of data accumulated at $\sqrt{s}=3.773$ GeV with the
BESIII detector at the BEPCII collider. This measurement, in conjunction with
the Cabibbo-Kobayashi-Maskawa matrix element $|V_{\rm cd}|$ determined from a
global Standard Model fit, implies a value for the weak decay constant
$f_{D^+}=(203.2 \pm 5.3 \pm 1.8)$ MeV. Additionally, using this branching
fraction measurement together with a Lattice QCD prediction for $f_{D^+}$, we
find $|V_{\rm cd}|=0.2210\pm 0.0058 \pm 0.0047$. In either case, these are the
most precise results for these quantities to date.


title:
Non-perturbative renormalization of overlap quark bilinears on domain
  wall fermion configurations

abstract:
  We present renormalization constants of overlap quark bilinear operators on
2+1-flavor domain wall fermion configurations. Both overlap and domain wall
fermions have chiral symmetry on the lattice. The scale independent
renormalization constant for the local axial vector current is computed using a
Ward Identity. The renormalization constants for the scalar, pseudoscalar and
vector current are calculated in the RI-MOM scheme. Results in the MS-bar
scheme are obtained by using perturbative conversion ratios. The analysis uses
in total six ensembles with lattice sizes 24^3x64 and 32^3x64.


title:
Exact solution of the one-dimensional super-symmetric t-J model with
  unparallel boundary fields

abstract:
  The exact solution of the one-dimensional super-symmetric t-J model under
generic integrable boundary conditions is obtained via the Bethe ansatz
methods. With the coordinate Bethe ansatz, the corresponding R-matrix and
K-matrices are derived for the second eigenvalue problem associated with spin
degrees of freedom. It is found that the second eigenvalue problem can be
transformed to that of the transfer matrix of the inhomogeneous XXX spin chain,
which allows us to obtain the spectrum of the Hamiltonian and the associated
Bethe ansatz equations by the off-diagonal Bethe ansatz method.


title:
Eigenvalues of Frobenius Endomorphisms of Abelian varieties of low
  Dimension

abstract:
  In this paper we discuss multiplicative relations between eigenvalues of
Frobenius endomorphism of abelian varieties of small dimension over finite
fields.


title: The guillotine approach for TSP with neighborhoods revisited

abstract:
  The Euclidean TSP with neighborhoods (TSPN) is the following problem: Given a
set R of k regions, find a shortest tour that visits at least one point from
each region. We study the special cases of disjoint, connected, alpha-fat
regions (i.e., every region P contains a disk of diameter diam(P)/alpha) and
disjoint unit disks.
  For the latter, Dumitrescu and Mitchell proposed an algorithm based on
Mitchell's guillotine subdivision approach for the Euclidean TSP and claimed it
to be a PTAS. However, their proof contains a severe gap, which we will close
in the following. Bodlaender et al. remark that their techniques for the
minimum corridor connection problem carry over to the TSPN and yield an
alternative PTAS for this problem.
  For disjoint connected alpha-fat regions of varying size, Mitchell proposed a
slightly different PTAS candidate. We will expose several further problems and
gaps in this approach. Some of them we can close, but overall, for alpha-fat
regions, the existence of a PTAS for the TSPN remains open.


title:
Topological phase transition and two dimensional topological insulators
  in Ge-based thin films

abstract:
  We discuss possible topological phase transitions in Ge-based thin films of
Ge(Bi$_x$Sb$_{1-x}$)$_2$Te$_4$ as a function of layer thickness and Bi
concentration $x$ using the first principles density functional theory
framework. The bulk material is a topological insulator at $x$ = 1.0 with a
single Dirac cone surface state at the surface Brillouin zone center, whereas
it is a trivial insulator at $x$ = 0. Through a systematic examination of the
band topologies we predict that thin films of Ge(Bi$_x$Sb$_{1-x}$)$_2$Te$_4$
with $x$ = 0.6, 0.8 and 1.0 are candidates for two-dimensional (2D) topological
insulators, which would undergo a 2D topological phase transition as a function
of $x$. A topological phase diagram for Ge(Bi$_x$Sb$_{1-x}$)$_2$Te$_4$ thin
films is presented to help guide their experimental exploration.


title: The number of cusps of right-angled polyhedra in hyperbolic spaces

abstract:
  As was pointed out by Nikulin [8] and Vinberg [10], a right-angled polyhedron
of finite volume in hyperbolic n-space $\mathbb{H}^n$ has at least one cusp for
$n\geq 5$. We obtain non-trivial lower bounds on the number of cusps of such
polyhedra. For example, right-angled polyhedra of finite volume must have at
least three cusps for $n=6$. Our theorem also says that the higher the
dimension of a right-angled polyhedron becomes, the more cusps it must have.


title:
Evaluation of the optical cross talk level in the SiPMs adopted in ASTRI
  SST-2M Cherenkov Camera using EASIROC front-end electronics

abstract:
  ASTRI (Astrofisica con Specchi a Tecnologia Replicante Italiana), is a
flagship project of the Italian Ministry of Education, University and Research
whose main goal is the design and construction of an end-to-end prototype of
the Small Size of Telescopes of the Cherenkov Telescope Array. The prototype,
named ASTRI SST-2M, will adopt a wide field dual mirror optical system in a
Schwarzschild-Couder configuration to explore the VHE range of the
electromagnetic spectrum. The camera at the focal plane is based on Silicon
Photo-Multipliers detectors which is an innovative solution for the detection
astronomical Cherenkov light. This contribution reports some preliminary
results on the evaluation of the optical cross talk level among the SiPM pixels
foreseen for the ASTRI SST-2M camera.


title:
Measuring chemical composition and particle cross-section of ultra-high
  energy cosmic rays by a ground radio array

abstract:
  We present a technique to measure chemical composition and particle
cross-section of ultra-high energy cosmic rays using radio data. We relate the
geometry of the radio footprint on the ground to the depth of the extensive air
shower maximum. We suggest to use the spectral information of the radio signal
to improve the shower maximum reconstruction by minimum number of antennas on
the ground.


title: Experimental status of top charge asymmetry measurements

abstract:
  The latest measurements of the asymmetry in the angular distributions of the
$t\bar{t}$ events are reviewed. The measurements of the forward-backward
asymmetry $A_{FB}$ in the $p\bar{p}$ 1.98 TeV collision at the Tevatron show
some tension with the standard model calculation, while results of the
measurements of the charge asymmetry $A_C$ in $pp$ collisions at 7 TeV and 8
TeV at the LHC are compatible with standard model prediction.


title: Cooperative folding of muscle myosins: I. Mechanical model

abstract:
  Mechanically induced folding of passive cross-linkers is a fundamental
biological phenomenon. A typical example is a conformational change in myosin
II responsible for the power-stroke in skeletal muscles. In this paper we
present an athermal perspective on such folding by analyzing the simplest
purely mechanical prototype: a parallel bundle of bi-stable units attached to a
common backbone. We show that in this analytically transparent model,
characterized by a rugged energy landscape, the ground states are always highly
coherent, single-phase configurations. We argue that such cooperative behavior,
ensuring collective conformational change, is due to the dominance of long-
range interactions making the system non-additive. The detailed predictions of
our model are in agreement with experimentally observed non-equivalence of fast
force recovery in skeletal muscles loaded in soft and hard devices. Some
features displayed by the model are also recognizable in the behavior of other
biological systems with passive multi-stability and long-range interactions
including detaching adhesive binders and pulled RNA/DNA hairpins.


title:
Finite-temperature conductivity and magnetoconductivity of topological
  insulators

abstract:
  The electronic transport experiments on topological insulators exhibit a
dilemma. A negative cusp in magnetoconductivity is widely believed as a quantum
transport signature of the topological surface states, which are immune from
localization and exhibit the weak antilocalization. However, the measured
conductivity drops logarithmically when lowering temperature, showing a typical
feature of the weak localization as in ordinary disordered metals. Here, we
present a conductivity formula for massless and massive Dirac fermions as a
function of magnetic field and temperature, by taking into account the
electron-electron interaction and quantum interference simultaneously. The
formula reconciles the dilemma by explicitly clarifying that the temperature
dependence of the conductivity is dominated by the interaction while the
magnetoconductivity is mainly contributed by the quantum interference. The
theory paves the road to quantitatively study the transport in topological
insulators and other two-dimensional Dirac-like systems, such as graphene,
transition metal dichalcogenides, and silicene.


title: Shift Radix Systems - A Survey

abstract:
  Let $d\ge 1$ be an integer and ${\bf r}=(r_0,\dots,r_{d-1}) \in
\mathbf{R}^d$. The {\em shift radix system} $\tau_\mathbf{r}: \mathbb{Z}^d \to
\mathbb{Z}^d$ is defined by $$ \tau_{{\bf r}}({\bf
z})=(z_1,\dots,z_{d-1},-\lfloor {\bf r} {\bf z}\rfloor)^t \qquad ({\bf
z}=(z_0,\dots,z_{d-1})^t). $$ $\tau_\mathbf{r}$ has the {\em finiteness
property} if each ${\bf z} \in \mathbb{Z}^d$ is eventually mapped to ${\bf 0}$
under iterations of $\tau_\mathbf{r}$. In the present survey we summarize
results on these nearly linear mappings. We discuss how these mappings are
related to well-known numeration systems, to rotations with round-offs, and to
a conjecture on periodic expansions w.r.t.\ Salem numbers. Moreover, we review
the behavior of the orbits of points under iterations of $\tau_\mathbf{r}$ with
special emphasis on ultimately periodic orbits and on the finiteness property.
We also describe a geometric theory related to shift radix systems.


title: On Strong Centerpoints

abstract:
  Let $P$ be a set of $n$ points in $\mathbb{R}^d$ and $\mathcal{F}$ be a
family of geometric objects. We call a point $x \in P$ a strong centerpoint of
$P$ w.r.t $\mathcal{F}$ if $x$ is contained in all $F \in \mathcal{F}$ that
contains more than $cn$ points from $P$, where $c$ is a fixed constant. A
strong centerpoint does not exist even when $\mathcal{F}$ is the family of
halfspaces in the plane. We prove the existence of strong centerpoints with
exact constants for convex polytopes defined by a fixed set of orientations. We
also prove the existence of strong centerpoints for abstract set systems with
bounded intersection.


title: Blue Straggler masses from pulsation properties. I. The case of NGC6541

abstract:
  We used high-spatial resolution images acquired with the WFC3 on board HST to
probe the population of variable blue straggler stars in the central region of
the poorly studied Galactic globular cluster NGC 6541. The time sampling of the
acquired multi wavelength (F390W, F555W and F814W) data allowed us to discover
three WUma stars and nine SX Phoenicis. Periods, mean magnitudes and pulsation
modes have been derived for the nine SX Phoenicis and their masses have been
estimated by using pulsation equations obtained from linear non adiabatic
models. We found masses in the range 1.0-1.1Mo, with an average value of
1.06+-0.09 Mo (sigma = 0.04), significantly in excess of the cluster Main
Sequence Turn Off mass (~ 0.75Mo). A mild trend between mass and luminosity
seems also to be present. The computed pulsation masses turn out to be in very
good agreement with the predictions of evolutionary tracks for single stars,
indicating values in the range ~ 1.0-1.2 Mo for most of the BSS population, in
agreement with what discussed in a number of previous studies.


title: Output sensitive algorithm for covering many points

abstract:
  A set of points and a positive integer $m$ are given and our goal is to cover
the maximum number of these point with $m$ disks. We devise the first output
sensitive algorithm for this problem. We introduce a parameter $\rho$ as the
maximum number of points that one disk can cover. In this paper first we solve
the problem for $m=2$ in $O({n\rho} + {\rho ^3}\log \rho ))$ time. The previous
algorithm for this problem runs in $O({n^3}\log n)$ time. Our algorithm
outperforms the previous algorithm because $\rho$ is much smaller than $n$ in
many cases. Then we extend the algorithm for any value of $m$ and we solve the
problem in $O(m{n\rho} + {(m\rho )^{2m - 1}}\log m\rho )$ time. The previous
algorithm for this problem runs in $O({n^{2m - 1}}\log n)$ time. Our algorithm
runs faster than the previous algorithm because $m\rho$ is smaller than $n$ in
many cases. Our technique to obtain an output sensitive algorithm is to use a
greedy algorithm to confine the areas that we should search to obtain the
result. Our technique in this paper may be applicable in other set covering
problems that deploy a greedy algorithm, to obtain faster solutions.


title:
Learning local directed acyclic graphs based on multivariate time series
  data

abstract:
  Multivariate time series (MTS) data such as time course gene expression data
in genomics are often collected to study the dynamic nature of the systems.
These data provide important information about the causal dependency among a
set of random variables. In this paper, we introduce a computationally
efficient algorithm to learn directed acyclic graphs (DAGs) based on MTS data,
focusing on learning the local structure of a given target variable. Our
algorithm is based on learning all parents (P), all children (C) and some
descendants (D) (PCD) iteratively, utilizing the time order of the variables to
orient the edges. This time series PCD-PCD algorithm (tsPCD-PCD) extends the
previous PCD-PCD algorithm to dependent observations and utilizes composite
likelihood ratio tests (CLRTs) for testing the conditional independence. We
present the asymptotic distribution of the CLRT statistic and show that the
tsPCD-PCD is guaranteed to recover the true DAG structure when the faithfulness
condition holds and the tests correctly reject the null hypotheses. Simulation
studies show that the CLRTs are valid and perform well even when the sample
sizes are small. In addition, the tsPCD-PCD algorithm outperforms the PCD-PCD
algorithm in recovering the local graph structures. We illustrate the algorithm
by analyzing a time course gene expression data related to mouse T-cell
activation.


title: Dynamics of Rotator Chain with Dissipative Boundary

abstract:
  We study the deterministic dynamics of rotator chain that subjected to purely
mechanical driving on the boundary by stability analysis and numerical
simulation. Globally synchronous rotation, clustered synchronous rotation, and
split synchronous rotation states are identified. In particular, we find that
the single-peaked variance distribution of angular momenta is the consequence
of the deterministic dynamics. As a result, the operational definition of
temperature used in the previous studies on rotator chain should be revisited.


title:
Hirzebruch-Milnor classes and Steenbrink spectra of certain projective
  hypersurfaces

abstract:
  We show that the Hirzebruch-Milnor class of a projective hypersurface, which
gives the difference between the Hirzebruch class and the virtual one, can be
calculated by using the Steenbrink spectra of local defining functions of the
hypersurface if certain good conditions are satisfied, e.g. in the case of
projective hyperplane arrangements, where we can give a more explicit formula.
This is a natural continuation of our previous paper on the Hirzebruch-Milnor
classes of complete intersections.


title:
Nonabelian Hodge theory in positive characterstic via exponential
  twisting

abstract:
  Let $k$ be a perfect field of odd characteristic and $X$ a smooth algebraic
variety over $k$ which is $W_2$-liftable. We show that the exponent twisiting
of the classical Cartier descent gives an equivalence of categories between the
category of nilpotent Higgs sheaves of exponent $\leq p-1$ over $X/k$ and the
category of nilpotent flat sheaves of exponent $\leq p-1$ over $X/k$, and it is
equivalent up to sign to the inverse Cartier and Cartier transforms for these
nilpotent objects constructed in the nonabelian Hodge theory in positive
characteristic by Ogus-Vologodsky. In view of the crucial role that
Deligne-Illusie's lemma has ever played in their algebraic proof of $E_1$
degeneration and Kodaira vanishing theorem in abelian Hodge theory, it may not
be overly surprising that again this lemma plays a significant role via the
concept of Higgs-de Rham flow in establishing $p$-adic Simpson correspondence
in nonabelian Hodge theory and Langer's algebraic proof of Bogomolov inequality
for semistable Higgs bundles and Miyaoka-Yau inequality.


title:
Propagation of Gibbsianness for infinite-dimensional diffusions with
  space-time interaction

abstract:
  We consider infinite-dimensional diffusions where the interaction between the
coordinates has a finite extent both in space and time. In particular, it is
not supposed to be smooth or Markov. The initial state of the system is Gibbs,
given by a strong summable interaction. If the strongness of this initial
interaction is lower than a suitable level, and if the dynamical interaction is
bounded from above in a right way, we prove that the law of the diffusion at
any time t is a Gibbs measure with absolutely summable interaction. The main
tool is a cluster expansion in space uniformly in time of the Girsanov factor
coming from the dynamics and exponential ergodicity of the free dynamics to an
equilibrium product measure.


title:
Unified dispersive approach to $\gamma^*\to\gamma\pi\pi$ and
  $\gamma\gamma\to\pi\pi$

abstract:
  A representation of the amplitude $\gamma^*(q^2)\to\gamma\pi\pi$ is proposed
which combines large $N_c$ chiral resonance Lagrangian modelling with general
unitarity and analyticity properties. The amplitude is constrained from
$\gamma\gamma$ scattering results and $e^+ e^- \to\gamma\pi^0\pi^0$
measurements by the CMD-2 and SND collaborations. As an application, the
contribution of the $\pi\pi+\gamma$ states in the HVP contribution to the muon
$g-2$ are reconsidered, taking into account the effect of the strong $S$-wave
$\pi\pi$ rescattering in a model independent way.


title:
Quantification and Control of non-Markovian Evolution in Finite Quantum
  Systems via Feedback

abstract:
  We consider the unitary time evolution of continuous quantum mechanical
systems confined to a cavity in contact with a finite bath of variable size.
Measures for Markovianity for such finite system-bath configurations are
developed in terms of Hilbert-Schmidt distances of time evolving wave packets.
The relevant time scales are identified, which characterize pseudo-Markovian
transient behavior, boundary scattering induced non-Markovian oscillations at
intermediate times, and non-Markovian rephasing events at long time scales. It
is shown how these time scales can be controlled by tunable parameters such as
the bath size and the strength of the system-bath coupling.


title: On the consistency of cell division processes

abstract:
  For a class of cell division processes, generating tessellations of the
Euclidean space $\mathbb{R}^d$, spatial consistency is investigated. This
addresses the problem whether the distribution of these tessellations,
restricted to a bounded set $V$, depends on the choice of a larger region
$W\supset V$ where the construction of the cell division process is performed.
This can also be understood as the problem of boundary effects in the cell
division procedure. In Nagel and Wei\ss\ (2005) it was shown that the STIT
tessellations are spatially consistent There were hints that the STIT
tessellation process might be the only translation-invariant cell division
process that has such a consistency property. In the present paper it is shown
that, within a reasonable wide class of cell division processes, the STIT
tessellations are the only ones that are consistent.


title: Weak-L^p bounds for the Carleson and Walsh-Carleson operators

abstract:
  We prove a weak-$L^p$ bound for the Walsh-Carleson operator for $p $ near 1,
improving on a theorem of Sjolin. We relate our result to the conjectures that
the Walsh-Fourier and Fourier series of a function $f\in L\log L(\mathbb T)$
converge for almost every $x \in \mathbb T$.


title:
Hard x-ray emission spectroscopy: a powerful tool for the
  characterization of magnetic semiconductors

abstract:
  This review aims to introduce the x-ray emission spectroscopy (XES) and
resonant inelastic x-ray scattering (RIXS) techniques to the materials
scientist working with magnetic semiconductors (e.g. semiconductors doped with
3d transition metals) for applications in the field of spin-electronics. We
focus our attention on the hard part of the x-ray spectrum (above 3 keV) in
order to demonstrate a powerful element- and orbital-selective characterization
tool in the study of bulk electronic structure. XES and RIXS are
photon-in/photon-out second order optical processes described by the
Kramers-Heisenberg formula. Nowadays, the availability of third generation
synchrotron radiation sources permits applying such techniques also to dilute
materials, opening the way for a detailed atomic characterization of
impurity-driven materials. We present the K{\beta} XES as a tool to study the
occupied valence states (directly, via valence-to-core transitions) and to
probe the local spin angular momentum (indirectly, via intra-atomic exchange
interaction). The spin sensitivity is employed, in turn, to study the
spin-polarized unoccupied states. Finally, the combination of RIXS with
magnetic circular dichroism (RIXS-MCD) extends the possibilities of standard
magnetic characterization tools.


title: New compact forms of the trigonometric Ruijsenaars-Schneider system

abstract:
  The reduction of the quasi-Hamiltonian double of ${\mathrm{SU}}(n)$ that has
been shown to underlie Ruijsenaars' compactified trigonometric $n$-body system
is studied in its natural generality. The constraints contain a parameter $y$,
restricted in previous works to $0<y < \pi/n$ because Ruijsenaars' original
compactification relies on an equivalent condition. It is found that allowing
generic $0<y<\pi/2$ results in the appearance of new self-dual compact forms,
of two qualitatively different types depending on the value of $y$. The type
(i) cases are similar to the standard case in that the reduced phase space
comes equipped with globally smooth action and position variables, and turns
out to be symplectomorphic to ${\mathbb{C}P^{n-1}}$ as a Hamiltonian toric
manifold. In the type (ii) cases both the position variables and the action
variables develop singularities on a nowhere dense subset. A full
classification is derived for the parameter $y$ according to the type (i)
versus type (ii) dichotomy. The simplest new type (i) systems, for which $\pi/n
< y < \pi/(n-1)$, are described in some detail as an illustration.


title:
Estimation of Stress-Strength model in the Generalized Linear Failure
  Rate Distribution

abstract:
  In this paper, we study the estimation of $R=P [Y < X ]$, also so-called the
stress-strength model, when both $X$ and $Y$ are two independent random
variables with the generalized linear failure rate distributions, under
different assumptions about their parameters. We address the maximum likelihood
estimator (MLE) of $R$ and the associated asymptotic confidence interval. In
addition, we compute the MLE and the corresponding Bootstrap confidence
interval when the sample sizes are small. The Bayes estimates of $R$ and the
associated credible intervals are also investigated. An extensive computer
simulation is implemented to compare the performances of the proposed
estimators. Eventually, we briefly study the estimation of this model when the
data obtained from both distributions are progressively type-II censored. We
present the MLE and the corresponding confidence interval under three different
progressive censoring schemes. We also analysis a set of real data for
illustrative purpose.


title:
NIEL Dose Dependence for Solar Cells Irradiated with Electrons and
  Protons

abstract:
  The investigation of solar cells degradation and the prediction of its
end-of-life performance is of primary importance in the preparation of a space
mission. In the present work, we investigate the reduction of solar-cells'
maximum power resulting from irradiations with electrons and protons. Both GaAs
single junction and GaInP/GaAs/Ge triple junction solar cells were studied. The
results obtained indicate how i) the dominant radiation damaging mechanism is
due to atomic displacements, ii) the relative maximum power degradation is
almost independent of the type of incoming particle, i.e., iii) to a first
approximation, the fitted semi-empirical function expressing the decrease of
maximum power depends only on the absorbed NIEL dose, and iv) the actual
displacement threshold energy value (Ed=21 eV) accounts for annealing
treatments, mostly due to self-annealing induced effects. Thus, for a given
type of solar cell, a unique maximum power degradation curve can be determined
as a function of the absorbed NIEL dose. The latter expression allows one to
predict the performance of those solar cells in space radiation environment.


title:
Asymptotic Rate Analysis of Downlink Multi-user Systems with Co-located
  and Distributed Antennas

abstract:
  A great deal of efforts have been made on the performance evaluation of
distributed antenna systems (DASs). Most of them assume a regular base-station
(BS) antenna layout where the number of BS antennas is usually small. With the
growing interest in cellular systems with large antenna arrays at BSs, it
becomes increasingly important for us to study how the BS antenna layout
affects the rate performance when a massive number of BS antennas are employed.
  This paper presents a comparative study of the asymptotic rate performance of
downlink multi-user systems with multiple BS antennas either co-located or
uniformly distributed within a circular cell. Two representative linear
precoding schemes, maximum ratio transmission (MRT) and zero-forcing
beamforming (ZFBF), are considered, with which the effect of BS antenna layout
on the rate performance is characterized. The analysis shows that as the number
of BS antennas $L$ and the number of users $K$ grow infinitely while
$L/K{\rightarrow}\upsilon$, the asymptotic average user rates with the
co-located antenna (CA) layout for both MRT and ZFBF are logarithmic functions
of the ratio $\upsilon$. With the distributed antenna (DA) layout, in contrast,
the scaling behavior of the average user rate closely depends on the precoding
schemes. With ZFBF, for instance, the average user rate grows unboundedly as
$L, K{\rightarrow} \infty$ and $L/K{\rightarrow}\upsilon{>}1$, which indicates
that substantial rate gains over the CA layout can be achieved when the number
of BS antennas $L$ is large. The gain, nevertheless, becomes marginal when MRT
is adopted.


title:
Action-angle map and duality for the open Toda lattice in the
  perspective of Hamiltonian reduction

abstract:
  An alternative derivation of the known action-angle map of the standard open
Toda lattice is presented based on its identification as the natural map
between two gauge slices in the relevant symplectic reduction of the cotangent
bundle of $GL(n,{{\mathbb R}})$. This then permits to interpret Ruijsenaars'
action-angle duality for the Toda system in the same group-theoretic framework
which was established previously for Calogero type systems.