title: Electron and Photon Identification in the D0 Experiment

abstract:
  The electron and photon reconstruction and identification algorithms used by
the D0 Collaboration at the Fermilab Tevatron collider are described. The
determination of the electron energy scale and resolution is presented. Studies
of the performance of the electron and photon reconstruction and identification
are summarized.


title:
Weak equivalence principle for self-gravitating bodies: A sieve for
  purely metric theories of gravity

abstract:
  We propose the almost-geodesic motion of self-gravitating test bodies as a
possible selection rule among metric theories of gravity. Starting from a
heuristic statement, the "gravitational weak equivalence principle", we build a
formal, operative test able to probe the validity of the principle for any
metric theory of gravity, in an arbitrary number of spacetime dimensions. We
show that, if the theory admits a well-posed variational formulation, this test
singles out only the purely metric theories of gravity. This conclusion
reproduces known results in the cases of general relativity (also with a
cosmological constant term), and scalar-tensor theories, but extends also to
debated or unknown scenarios, such as f(R) and Lanczos-Lovelock theories. We
thus provide new tools going beyond the standard methods, where the latter turn
out to be inconclusive or inapplicable.


title:
Estimates of essential norms of weighted composition operator from Bloch
  type spaces to Zygmund type spaces

abstract:
  Let $u$ be a holomorphic function and $\varphi$ a holomorphic self-map of the
open unit disk $\mathbb{D}$ in the complex plane. We give some new
characterizations for the boundedness of the weighted composition operators
$uC_{\varphi}$ from Bloch type spaces to Zygmund type spaces in $\mathbb{D}$ in
terms of $u, \varphi$, their derivatives and the $n$-th power $\varphi^n$ of
$\varphi$. Moreover, we obtain some similar estimates for their essential
norms. From which the sufficient and necessary conditions of compactness of the
operators $uC_{\varphi}$ follows immediately.


title:
Feeding and Feedback in nearby AGN - Comparison with the Milky Way
  center

abstract:
  I discuss feeding and feedback processes observed in the inner few hundred
parsecs of nearby active galaxies using integral field spectroscopy at spatial
resolutions of a few to tens of parsecs. Signatures of feedback include
outflows from the nucleus with velocities ranging from 200 to 1000km/s, with
mass outflow rates between 0.5 and a few Msun/yr. Signatures of feeding include
the observation of gas inflows along nuclear spirals and filaments, with
velocities ranging from 50 to 100km/s and mass flow rates from 0.1 to 1
Msun/yr. These rates are 2--3 orders of magnitude larger than the mass
accretion rate to the supermassive black hole (SMBH). These inflows can thus
lead, during less than one activity cycle, to the accumulation of enough gas in
the inner few hundred parsecs, to trigger the formation of new stars, leading
to the growth of the galaxy bulge. Young to intermediate age stars have indeed
been found in circumnuclear rings around a number of Active Galactic Nuclei
(AGN). One of these rings, with ~100pc radius is observed in the Seyfert 2
galaxy NGC1068, and is associated to an off-centered molecular ring, very
similar to that observed in the Milky Way (MW). On the basis of an evolutionary
scenario, we speculate that, in the MW, molecular gas has already accumulated
within the inner ~100 pc and is already triggering the formation of new stars.
A possible increase in the star-formation rate in the region will then be
followed, tens of millions of years in the future, by the triggering of nuclear
activity in Sgr A*.


title: Quantum Dissipation and CP Violation in MINOS

abstract:
  We use the open quantum systems framework to analyze the MINOS data and
perform this analysis considering two different dissipative models. In the
first model, the dissipative parameter describes decoherence effect and in the
second, the dissipative parameter describes other dissipative effects including
decoherence. With the second model it is possible to study CP violation since
we consider Majorana neutrinos. The analysis from the muon neutrino and
antineutrino beam assigns different values to all the parameters of the models,
but consistent with each other. Assuming that neutrinos are equivalent to
antineutrinos, the global analysis presents nonvanishing Majorana CP phase
depending on the energetic parameterization of the dissipative parameter.


title: A Novel Application Licensing Framework for Mobile Cloud Environment

abstract:
  Mobile cloud computing is a new technology that enhances smartphone
applications capabilities in terms of performance, energy efficiency, and
execution support. These features are achieved via computation offloading
technique that is supported by specialized mobile cloud application development
models. However, the cloud-enabled applications are prone to application piracy
issue for which the traditional licensing frameworks are of no use. Therefore,
a new licensing framework is required to control application piracy in mobile
cloud environment. This paper presents a preliminary design of a novel
application licensing framework for mobile cloud environment that restricts
execution of applications on unauthenticated smartphones and cloud resources.


title: The Duffin-Schaeffer type conjectures in various local fields

abstract:
  This paper discovers a new phenomenon about the Duffin-Schaeffer conjecture,
which claims that $\lambda(\cap_{m=1}^{\infty}\cup_{n=m}^{\infty}{\mathcal
E}_n)=1$ if and only if $\sum_n\lambda({\mathcal E}_n)=\infty$, where $\lambda$
denotes the Lebesgue measure on $\mathbb{R}/\mathbb{Z}$, \[ {\mathcal
E}_n={\mathcal E}_n(\psi)=\bigcup_{m=1 \atop
(m,n)=1}^n\big(\frac{m-\psi(n)}{n},\frac{m+\psi(n)}{n}\big), \] $\psi$ is any
non-negative arithmetical function. Instead of studying
$\cap_{m=1}^{\infty}\cup_{n=m}^{\infty}{\mathcal E}_n$ we introduce an even
fundamental object $\cup_{n=1}^{\infty}{\mathcal E}_n$ and conjecture there
exists a universal constant $C>0$ such that
\[\lambda(\bigcup_{n=1}^{\infty}{\mathcal E}_n)\geq
C\min\{\sum_{n=1}^{\infty}\lambda({\mathcal E}_n),1\}.\] It is shown that this
conjecture is equivalent to the Duffin-Schaeffer conjecture. Similar phenomena
are found in the fields of $p$-adic numbers and formal Laurent series. As a
byproduct, we answer conditionally a question of Haynes by showing that one can
always use the quasi-independence on average method to deduce
$\lambda(\cap_{m=1}^{\infty}\cup_{n=m}^{\infty}{\mathcal E}_n)=1$ as long as
the Duffin-Schaeffer conjecture is true. We also show among several others that
two conjectures of Haynes, Pollington and Velani are equivalent to the
Duffin-Schaeffer conjecture, and introduce for the first time a weighted
version of the second Borel-Cantelli lemma to the study of the Duffin-Schaeffer
conjecture.


title: Cyclic and Coherent States in Flocks with Topological Distance

abstract:
  A simple model of the two dimensional collective motion of a group of mobile
agents have been studied. Like birds, these agents travel in open free space
where each of them interacts with the first $n$ neighbors determined by the
topological distance with a free boundary condition. Using the same
prescription for interactions used in the Vicsek model with scalar noise it has
been observed that the flock, in absence of the noise, arrives at a number of
interesting stationary states. In the `single sink state' the entire flock
maintains perfect cohesion and coherence. In the `cyclic state' every agent
executes a uniform circular motion, and the entire flock executes a pulsating
dynamics i.e., expands and contracts periodically between a minimum and a
maximum size of the flock. When refreshing rate of the interaction zone is the
fastest, the entire flock gets fragmented into smaller clusters of different
sizes. On introduction of scalar noise a crossover is observed when the agents
cross over from a ballistic motion to a diffusive motion. Expectedly the
crossover time is dependent on the strength of the noise $\eta$ and diverges as
$\eta \to 0$. In simpler version the translational degrees of freedom of the
agents are suppressed but their angular motion are retained. Here agents are
the spins, placed at the sites of a square lattice with periodic boundary
condition. Every spin interacts with its $n$ = 2, 3 or 4 nearest neighbors. In
the stationary state the entire spin pattern moves as a whole when interactions
are anisotropic with $n$ = 2 and 3; but it is completely frozen when the
interaction is isotropic with $n=4$. These spin configurations have
vortex-antivortex pairs whose density increases as the noise $\eta$ increases
and follows an excellent finite-size scaling analysis.


title:
A model colloidal gel for coordinated measurements of force, structure,
  and rheology

abstract:
  We introduce a model gel system in which colloidal forces, structure, and
rheology are measured by balancing the requirements of rheological and
microscopy techniques with those of optical tweezers. Sterically stabilized
poly(methyl methacrylate) (PMMA) colloids are suspended in cyclohexane (CH) and
cyclohexyl bromide (CHB) with dilute polystyrene serving as a depletion agent.
A solvent comprising of 37% weight fraction CH provides sufficient refractive
index contrast to enable optical trapping, while maintaining good confocal
imaging quality and minimal sedimentation effects on the bulk rheology. At this
condition, and at a depletant concentration c = 8.64 mg/mL (c/c* = 0.81),
results from optical trapping show that 50% of bonds rupture at 3.3 pN. The
linear strain-dependent elastic modulus of the corresponding gel (volume
fraction = 0.20) is G' = 1.8 Pa, and the mean contact number of the particles
in the gel structure is 5.4. These structural and rheological parameters are
similar to colloidal gels that are weakly aggregating and cluster-like. Thus,
the model gel yields a concomitant characterization of the interparticle
forces, microstructure, and bulk rheology in a single experimental system,
thereby introducing the simultaneous comparison of these experimental measures
to models and simulations.


title: Characterization of circular D0L systems

abstract:
  We prove that every non-circular D0L system contains arbitrarily long
repetitions. This result was already published in 1993 by Mignosi and
S\'e\'ebold, however their proof is only a sketch. We give here a complete
proof. Further, employing our previous result, we give a simple algorithm to
test circularity of an injective D0L system.


title: Pair production at the edge of the QED flux tube

abstract:
  We investigate the process of Abelian pair production in the presence of
strong inhomogeneous and time-dependent external electric fields. The spatial
dependence of the external field is motivated by a non-Abelian color flux tube
in heavy-ion collisions. We show that the inhomogeneity significantly increase
the particle yield compared to that in the commonly used models with a constant
and homogeneous field. Moreover our results indicate that in contrast to the
latter, most of the particles are produced at the interface of the field
profile in accordance with Heisenberg's prediction.


title: Voronoi Polytopes for Polyhedral Norms on Lattices

abstract:
  A polyhedral norm is a norm N on R^n for which the set N(x)\leq 1 is a
polytope. This covers the case of the L^1 and L^{\infty} norms. We consider
here effective algorithms for determining the Voronoi polytope for such norms
with a point set being a lattice. The algorithms, that we propose, use the
symmetries effectively in order to compute a decomposition of the space into
convex polytopes named {\em $VN$-spaces}. The Voronoi polytopes and other
geometrical information are easily obtained from it.


title: On local fixed or periodic point properties

abstract:
  A space X has the local fixed point property LFPP, (local periodic point
property LPPP) if it has an open basis $\mathcal{B}$ such that, for each $B\in
\mathcal{B}$, the closure $\overline{B}$ has the fixed (periodic) point
property. Weaker versions wLFPP, wLPPP are also considered and examples of
metric continua that distinguish all these properties are constructed. We show
that for planar or one-dimensional locally connected metric continua the
properties are equivalent.


title: Parallel Algorithms for Geometric Graph Problems

abstract:
  We give algorithms for geometric graph problems in the modern parallel models
inspired by MapReduce. For example, for the Minimum Spanning Tree (MST) problem
over a set of points in the two-dimensional space, our algorithm computes a
$(1+\epsilon)$-approximate MST. Our algorithms work in a constant number of
rounds of communication, while using total space and communication proportional
to the size of the data (linear space and near linear time algorithms). In
contrast, for general graphs, achieving the same result for MST (or even
connectivity) remains a challenging open problem, despite drawing significant
attention in recent years.
  We develop a general algorithmic framework that, besides MST, also applies to
Earth-Mover Distance (EMD) and the transportation cost problem. Our algorithmic
framework has implications beyond the MapReduce model. For example it yields a
new algorithm for computing EMD cost in the plane in near-linear time,
$n^{1+o_\epsilon(1)}$. We note that while recently Sharathkumar and Agarwal
developed a near-linear time algorithm for $(1+\epsilon)$-approximating EMD,
our algorithm is fundamentally different, and, for example, also solves the
transportation (cost) problem, raised as an open question in their work.
Furthermore, our algorithm immediately gives a $(1+\epsilon)$-approximation
algorithm with $n^{\delta}$ space in the streaming-with-sorting model with
$1/\delta^{O(1)}$ passes. As such, it is tempting to conjecture that the
parallel models may also constitute a concrete playground in the quest for
efficient algorithms for EMD (and other similar problems) in the vanilla
streaming model, a well-known open problem.


title:
UHg_{3} - A Heavy Fermion Antiferromagnet Similar to U_{2}Zn_{17} and
  UCd_{11}

abstract:
  Heavy Fermion physics deals with the ground state formation and interactions
in f-electron materials where the electron effective masses are extremely
large, more than 100 times the rest mass of an electron. The details of how the
f-electrons correlate at low temperature to become so massive lacks a coherent
theory, partially because so few materials display this heavy behavior and thus
global trends remain unclear. UHg_{3} is now found experimentally to be a heavy
Fermion antiferromagnet, just as are all the other U_{x}M_{y} compounds with
the metal M being in column II B (filled d electron shells) in the periodic
table (Zn/Cd/Hg) and the spacing between Uranium ions being greater than the
Hill limit of 3.5 Angstroms. This result that, independent of the structure of
these U_{x}M_{y}, M=Zn/Cd/Hg, compounds and independent of the value of their
Uranium Uranium spacings (ranging from 4.39 to 6.56 Angstroms), all exhibit
heavy Fermion antiferromagnetism, is a clear narrowing of the parameters
important for understanding the formation of this ground state. The sequence of
antiferromagnetic transition temperatures, T_{Neel}, of 9.7 K, 5.0 K, and 2.6 K
for U_{x}M_{y} as the metal M varies down column II B (Zn/Cd/Hg) indicates an
interesting regularity for the antiferromagnetic coupling strength.


title: Approximating the Bethe partition function

abstract:
  When belief propagation (BP) converges, it does so to a stationary point of
the Bethe free energy $F$, and is often strikingly accurate. However, it may
converge only to a local optimum or may not converge at all. An algorithm was
recently introduced for attractive binary pairwise MRFs which is guaranteed to
return an $\epsilon$-approximation to the global minimum of $F$ in polynomial
time provided the maximum degree $\Delta=O(\log n)$, where $n$ is the number of
variables. Here we significantly improve this algorithm and derive several
results including a new approach based on analyzing first derivatives of $F$,
which leads to performance that is typically far superior and yields a fully
polynomial-time approximation scheme (FPTAS) for attractive models without any
degree restriction. Further, the method applies to general (non-attractive)
models, though with no polynomial time guarantee in this case, leading to the
important result that approximating $\log$ of the Bethe partition function,
$\log Z_B=-\min F$, for a general model to additive $\epsilon$-accuracy may be
reduced to a discrete MAP inference problem. We explore an application to
predicting equipment failure on an urban power network and demonstrate that the
Bethe approximation can perform well even when BP fails to converge.


title:
The role of material strength in collisions -- Comparing solid body and
  hydrodynamic physics for simulating collisions of planetesimals with icy
  shells

abstract:
  Context. We investigate the effects of including material strength in
multi-material planetesimal collisions. Aims. The differences between
strengthless material models and including the full elasto-plastic model for
solid bodies with brittle failure and fragmentation when treating collisions of
asteroid-sized bodies as they occur frequently in early planetary systems are
demonstrated. Methods. We study impacts of bodies of Ceres-mass with a solid
rock impactor and a target with 30 weight-% water content as surface ice.} The
initial impact velocities and impact parameters are varied between the escape
velocity $v_\mathrm{esc}$ to about 6 $v_\mathrm{esc}$ and from head-on
collisions to close fly-bys, respectively. We simulate the collisions using our
own SPH code utilizing both strengthless material and the full elasto-plastic
material model including brittle failure. Results. One of the most prominent
differences is the higher degree of fragmentation and shattered debris clouds
in the solid model. In most collision scenarios however, the final outcomes are
very similar and differ primarily by the about one order of magnitude higher
degree of fragmentation in the solid case. Also, the survivors tend to be of
less mass in the solid case which also predicts a higher water loss than the
strengthless hydro model. This may be an effect of the relatively low-energy
impacts that cannot destroy the solid material instantly. As opposed to giant
impacts we also observe an indication that some water ice gets transferred
between the bodies.


title: Dark Energy: A Short Review

abstract:
  The accelerating expansion of the universe is the most surprising
cosmological discovery in many decades. In this short review, we briefly
summarize theories for the origin of cosmic acceleration and the observational
methods being used to test these theories. We then discuss the current
observational state of the field, with constraints from the cosmic microwave
background (CMB), baryon acoustic oscillations (BAO), Type Ia supernovae (SN),
direct measurements of the Hubble constant ($H_0$), and measurements of galaxy
and matter clustering. Assuming a flat universe and dark energy with a constant
equation-of-state parameter $w = P/\rho$, the combination of Planck CMB
temperature anisotropies, WMAP CMB polarization, the Union2.1 SN compilation,
and a compilation of BAO measurements yields $w = -1.10^{+0.08}_{-0.07}$,
consistent with a cosmological constant ($w=-1$). However, with these
constraints the cosmological constant model predicts a value of $H_0$ that is
lower than several of the leading recent estimates, and it predicts a parameter
combination $\sigma_8(\Omega_m)^{0.5}$ that is higher than many estimates from
weak gravitational lensing, galaxy clusters, and redshift-space distortions.
Individually these tensions are only significant at the ~$2\sigma$ level, but
they arise in multiple data sets with independent statistics and distinct
sources of systematic uncertainty. The tensions are stronger with Planck CMB
data than they were with WMAP because of the smaller statistical errors and the
higher central value of $\Omega_m.$ With the improved measurements expected
from the next generation of data sets, these tensions may diminish, or they may
sharpen in a way that points towards a more complete physical understanding of
cosmic acceleration.


title:
Valley depolarization due to inter- and intra-valley electron-hole
  exchange interactions in monolayer MoS$_{2}$

abstract:
  We investigate the valley depolarization due to the electron-hole exchange
interaction in monolayer MoS$_{2}$. Both the long- and short-range parts of the
intra- and inter-valley electron-hole exchange interactions are calculated. We
find that both the long- and short-range exchange interactions can cause the
inter- and intra-valley bright exciton transitions. With the intra-valley
bright exciton transition channel nearly forbidden due to the large splitting
of the valence bands, the inter-valley channel due to the exchange interaction
can cause the valley depolarization efficiently by the Maialle-Silva-Sham
mechanism [Phys. Rev. B {\bf 47}, 15776 (1993)]. With only the long-range
exchange interaction, the calculations show good agreement with the recent
valley polarization experiments, including the time-resolved valley
polarization measurement, the pump-probe experiment and the steady-state PL
polarization measurement. We further show that for the A-exciton with large
(small) center-of-mass momentum, the long-range exchange interaction can cause
the {\em fast} ({\em slow}) inter-valley exciton transition.


title: Fractional Dynamical Systems

abstract:
  In this paper the author presents the results of the preliminary
investigation of fractional dynamical systems based on the results of numerical
simulations of fractional maps. Fractional maps are equivalent to fractional
differential equations describing systems experiencing periodic kicks. Their
properties depend on the value of two parameters: the non-linearity parameter,
which arises from the corresponding regular dynamical systems; and the memory
parameter which is the order of the fractional derivative in the corresponding
non-linear fractional differential equations. The examples of the fractional
Standard and Logistic maps demonstrate that phase space of non-linear
fractional dynamical systems may contain periodic sinks, attracting slow
diverging trajectories, attracting accelerator mode trajectories, chaotic
attractors, and cascade of bifurcations type trajectories whose properties are
different from properties of attractors in regular dynamical systems. The
author argues that discovered properties should be evident in the natural
(biological, psychological, physical, etc.) and engineering systems with
power-law memory.


title: Electric discharge in vacuum by minicharged particles

abstract:
  We discuss the possibility of a laboratory search for light minicharged
particles carrying electric charge that is a small fraction $\epsilon$ of that
of electron. We point out that the production of pairs of such particles in an
electric field would result in a measurable discharge in vacuum of electrically
charged objects. A realistic experiment may be sensitive to such particles at
least down to $\epsilon \sim 10^{-8}$ if their mass is below $\sim 10^{-4}$eV.


title: Bounds on the rate of superimposed codes

abstract:
  A binary code is called a superimposed cover-free $(s,\ell)$-code if the code
is identified by the incidence matrix of a family of finite sets in which no
intersection of $\ell$ sets is covered by the union of $s$ others. A binary
code is called a superimposed list-decoding $s_L$-code if the code is
identified by the incidence matrix of a family of finite sets in which the
union of any $s$ sets can cover not more than $L-1$ other sets of the family.
For $L=\ell=1$, both of the definitions coincide and the corresponding binary
code is called a superimposed $s$-code. Our aim is to obtain new lower and
upper bounds on the rate of given codes. The most interesting result is a lower
bound on the rate of superimposed cover-free $(s,\ell)$-code based on the
ensemble of constant-weight binary codes. If parameter $\ell\ge1$ is fixed and
$s\to\infty$, then the ratio of this lower bound to the best known upper bound
converges to the limit $2\,e^{-2}=0,271$. For the classical case $\ell=1$ and
$s\ge2$, the given Statement means that our recurrent upper bound on the rate
of superimposed $s$-codes obtained in 1982 is attained to within a constant
factor $a$, $0,271\le a\le1$


title: Wall Adhesion and Constitutive Modelling of Strong Colloidal Gels

abstract:
  Wall adhesion effects during batch sedimentation of strongly flocculated
colloidal gels are commonly assumed to be negligible. In this study in-situ
measurements of colloidal gel rheology and solids volume fraction distribution
suggest the contrary, where significant wall adhesion effects are observed in a
110mm diameter settling column. We develop and validate a mathematical model
for the equilibrium stress state in the presence of wall adhesion under both
viscoplastic and viscoelastic constitutive models. These formulations highlight
fundamental issues regarding the constitutive modeling of colloidal gels,
specifically the relative utility and validity of viscoplastic and viscoelastic
rheological models under arbitrary tensorial loadings. The developed model is
validated against experimental data, which points toward a novel method to
estimate the shear and compressive yield strength of strongly flocculated
colloidal gels from a series of equilibrium solids volume fraction profiles
over various column widths.


title: Elastic Pathing: Your Speed is Enough to Track You

abstract:
  Today people increasingly have the opportunity to opt-in to "usage-based"
automotive insurance programs for reducing insurance premiums. In these
programs, participants install devices in their vehicles that monitor their
driving behavior, which raises some privacy concerns. Some devices collect
fine-grained speed data to monitor driving habits. Companies that use these
devices claim that their approach is privacy-preserving because speedometer
measurements do not have physical locations. However, we show that with
knowledge of the user's home location, as the insurance companies have, speed
data is sufficient to discover driving routes and destinations when trip data
is collected over a period of weeks. To demonstrate the real-world
applicability of our approach we applied our algorithm, elastic pathing, to
data collected over hundreds of driving trips occurring over several months.
With this data and our approach, we were able to predict trip destinations to
within 250 meters of ground truth in 10% of the traces and within 500 meters in
20% of the traces. This result, combined with the amount of speed data that is
being collected by insurance companies, constitutes a substantial breach of
privacy because a person's regular driving pattern can be deduced with repeated
examples of the same paths with just a few weeks of monitoring.


title: Experimental library of univalent formalization of mathematics

abstract:
  This paper contains a discussion of a library of formalized mathematics for
the proof assistant Coq which the author worked on in 2011-13.


title: Eguchi-Kawai reduction with one flavor of adjoint Moebius fermion

abstract:
  We study the single site lattice gauge theory of SU(N) coupled to one Dirac
flavor of fermion in the adjoint representation. We utilize M\"obius fermions
for this study, and accelerate the calculation with graphics processing units
(GPUs). Our Monte Carlo simulations indicate that for sufficiently large
inverse 't Hooft coupling b = 1/g^2 N, and for N \leq 10 the distribution of
traced Polyakov loops has "fingers" that extend from the origin. However, in
the massless case the distribution of eigenvalues of the untraced Polyakov loop
becomes uniform at large N, indicating preservation of center symmetry in the
thermodynamic limit. By contrast, for a large mass and large b, the
distribution is highly nonuniform in the same limit, indicating spontaneous
center symmetry breaking. These conclusions are confirmed by comparing to the
quenched case, as well as by examining another observable based on the average
value of the modulus of the traced Polyakov loop. The result of this
investigation is that with massless adjoint fermions center symmetry is
stabilized and the Eguchi-Kawai reduction should be successful; this is in
agreement with most other studies.


title:
The adjoint representation of a Lie algebra and the support of Kostant's
  weight multiplicity formula

abstract:
  Even though weight multiplicity formulas, such as Kostant's formula, exist
their computational use is extremely cumbersome. In fact, even in cases when
the multiplicity is well understood, the number of terms considered in
Kostant's formula is factorial in the rank of the Lie algebra and the value of
the partition function is unknown. In this paper we address the difficult
question: What are the contributing terms to the multiplicity of the zero
weight in the adjoint representation of a finite dimensional Lie algebra? We
describe and enumerate the cardinalities of these sets (through linear
homogeneous recurrence relations with constant coefficients) for the classical
Lie algebras of Type $B$, $C$, and $D$, the Type $A$ case was computed by the
first author in [5]. In addition, we compute the cardinality of the set of
contributing terms for non-zero weight spaces in the adjoint representation. In
the Type $B$ case, the cardinality of one such non-zero-weight is enumerated by
the Fibonacci numbers. We end with a computational proof of a result of Kostant
regarding the exponents of the respective Lie algebra for some low rank
examples and provide a section with open problems in this area.


title: Hot spots spontaneously emerging in thin film photovoltaics

abstract:
  We present data exhibiting hot spots spontaneously emerging in forward biased
thin film photovoltaics based on a-Si:H technology. These spots evolve over
time shrinking in their diameter and increasing temperature up to approximately
300 $^o$C above that of the surrounding area. Our numerical approach explores a
system of many identical diodes in parallel connected through the resistive
electrode and through thermal connectors, a model which couples electric and
thermal processes. The modeling results show that hot spots emerge collapsing
from a rather large area of nonuniform temperature, then collapse to local
entities. Finally, we present a simplified analytical treatment establishing
relations between the hot spot parameters.


title:
High fidelity state mapping performed in a V-type level structure via
  stimulated Raman transition

abstract:
  It is proved that a qubit encoded in excited states of a V-type quantum
system cannot be perfectly transferred to the state of the cavity field mode
using a single rectangular laser pulse. This obstacle can be overcome by using
a two-stage protocol, in which the fidelity of a state-mapping operation can be
increased to nearly one.


title: Secure quantum weak oblivious transfer against individual measurements

abstract:
  In quantum weak oblivious transfer, Alice sends Bob two bits and Bob can
learn one of the bits at his choice. It was found that the security of such a
protocol is bounded by $2P_{Alice}^{\ast }+P_{Bob}^{\ast }\geq 2$, where
$P_{Alice}^{\ast }$ is the probability with which Alice can guess Bob's choice,
and $P_{Bob}^{\ast }$ is the probability with which Bob can guess both of
Alice's bits\ given that he learns one of the bits with certainty. Here we
propose a protocol and show that as long as Alice is restricted to individual
measurements, then both $P_{Alice}^{\ast }$ and $P_{Bob}^{\ast }$ can be made
arbitrarily close to 1/2, so that maximal violation of the security bound can
be reached. Even with some limited collective attacks, the security bound can
still be violated. Therefore, although our protocol still cannot break the
bound in principle when Alice has unlimited cheating power, it is sufficient
for achieving secure quantum weak oblivious transfer in practice.


title:
Cosmological implications of Fast Radio Burst / Gamma-Ray Burst
  Associations

abstract:
  If a small fraction of Fast Radio Bursts (FRBs) are associated with Gamma-Ray
Bursts (GRBs), as recently suggested by Zhang, the combination of redshift
measurements of GRBs and dispersion measure (DM) measurements of FRBs opens a
new window to study cosmology. At $z<2$ where the universe is essentially fully
ionized, detections of FRB/GRB pairs can give an independent measurement of the
intergalactic medium portion of the baryon mass fraction, $\Omega_b f_{\rm
IGM}$, of the universe. If a good sample of FRB/GRB associations are discovered
at higher redshifts, the free electron column density history can be mapped,
which can be used to probe the reionization history of both hydrogen and helium
in the universe. We apply our formulation to GRBs 101011A and 100704A that each
might have an associated FRB, and constrained $\Omega_b f_{\rm IGM}$ to be
consistent with the value derived from other methods. The methodology developed
here is also applicable, if the redshifts of FRBs not associated with GRBs can
be measured by other means.


title: Slicing a 2-sphere

abstract:
  We show that for every complete Riemannian surface $M$ diffeomorphic to a
sphere with $k \geq 0$ holes there exists a Morse function $f:M \rightarrow
\mathbb{R}$, which is constant on each connected component of the boundary of
$M$ and has fibers of length no more than $52 \sqrt{Area(M)}+length(\partial
M)$. We also show that on every 2-sphere there exists a simple closed curve of
length $\leq 26 \sqrt{Area(S^2)}$ subdividing the sphere into two discs of area
$\geq \frac{1}{3}Area(S^2)$


title: On dually flat general $(\alpha,\beta)$-metrics

abstract:
  In this work, the dual flatness, which is connected with Statistics and
Information geometry, of general $(\alpha,\beta)$-metrics (a new class of
Finsler metrics) is studied. A nice characterization for such metrics to be
dually flat under some suitable conditions is provided and all the solutions
are completely determined. By using an original kind of metrical deformations,
many non-trivial explicit examples are constructed. Moreover, the relationship
of dual flatness and projective flatness of such metrics is shown.


title: The combinatorial structure of beta negative binomial processes

abstract:
  We characterize the combinatorial structure of conditionally-i.i.d. sequences
of negative binomial processes with a common beta process base measure. In
Bayesian nonparametric applications, such processes have served as models for
latent multisets of features underlying data. Analogously, random subsets arise
from conditionally-i.i.d. sequences of Bernoulli processes with a common beta
process base measure, in which case the combinatorial structure is described by
the Indian buffet process. Our results give a count analogue of the Indian
buffet process, which we call a negative binomial Indian buffet process. As an
intermediate step toward this goal, we provide a construction for the beta
negative binomial process that avoids a representation of the underlying beta
process base measure. We describe the key Markov kernels needed to use a NB-IBP
representation in a Markov Chain Monte Carlo algorithm targeting a posterior
distribution.


title:
Improved bounds on maximum sets of letters in sequences with forbidden
  alternations

abstract:
  Let $A_{s,k}(m)$ be the maximum number of distinct letters in any sequence
which can be partitioned into $m$ contiguous blocks of pairwise distinct
letters, has at least $k$ occurrences of every letter, and has no subsequence
forming an alternation of length $s$. Nivasch (2010) proved that $A_{5,
2d+1}(m) = \theta( m \alpha_{d}(m))$ for all fixed $d \geq 2$. We show that
$A_{s+1, s}(m) = \binom{m- \lceil \frac{s}{2} \rceil}{\lfloor \frac{s}{2}
\rfloor}$ for all $s \geq 2$, $A_{5, 6}(m) = \theta(m \log \log m)$, and $A_{5,
2d+2}(m) = \theta(m \alpha_{d}(m))$ for all fixed $d \geq 3$.


title: Linearity of quantum probability measure and Hardy's model

abstract:
  We re-examine d=4 hidden-variables-models for a system of two spin-$1/2$
particles in view of the concrete model of Hardy, who analyzed the criterion of
entanglement without referring to inequality. The basis of our analysis is the
linearity of the probability measure related to the Born probability
interpretation, which excludes non-contextual hidden-variables models in $d\geq
3$. To be specific, we note the inconsistency of the non-contextual
hidden-variables model in $d=4$ with the linearity of the quantum mechanical
probability measure in the sense $\langle\psi|{\bf a}\cdot {\bf
\sigma}\otimes{\bf b}\cdot {\bf \sigma}|\psi\rangle+\langle\psi|{\bf a}\cdot
{\bf \sigma}\otimes{\bf b}^{\prime}\cdot {\bf
\sigma}|\psi\rangle=\langle\psi|{\bf a}\cdot {\bf \sigma}\otimes ({\bf b}+{\bf
b}^{\prime})\cdot {\bf \sigma}|\psi\rangle$ for non-collinear ${\bf b}$ and
${\bf b}^{\prime}$. It is then shown that Hardy's model in $d=4$ does not lead
to a unique mathematical expression in the demonstration of the discrepancy of
local realism (hidden-variables model) with entanglement and thus his proof is
incomplete. We identify the origin of this non-uniqueness with the
non-uniqueness of translating quantum mechanical expressions into expressions
in hidden-variables models, which results from the failure of the above
linearity of the probability measure. In contrast, if the linearity of the
probability measure is strictly imposed, which is tantamount to asking that the
non-contextual hidden-variables model in $d=4$ gives the CHSH inequality
$|\langle B\rangle|\leq 2$ uniquely, it is shown that the hidden-variables
model can describe only separable quantum mechanical states; this conclusion is
in perfect agreement with the so-called Gisin's theorem which states that
$|\langle B\rangle|\leq 2$ implies separable states.


title: How to Construct a Large Table of Babylonian Mathematics

abstract:
  In the present paper I shall clarify the Babylonian method by which many
large tables of reciprocals could be constructed.


title: Topological response in ferromagnets

abstract:
  We present a theory of the intrinsic anomalous Hall effect in a model of a
doped Weyl semimetal, which serves here as the simplest toy model of a generic
three-dimensional metallic ferromagnet with Weyl nodes in the electronic
structure. We analytically evaluate the anomalous Hall conductivity as a
function of doping, which allows us to explicitly separate the Fermi surface
and non Fermi surface contributions to the Hall conductivity by carefully
evaluating the zero frequency and zero wavevector limits of the corresponding
response function. We show that this separation agrees with the one suggested a
long time ago in the context of the quantum Hall effect by Streda.


title:
Spectroscopic factors for low-lying 16N levels and the astrophysical
  15N(n,gamma)16N reaction rate

abstract:
  Fluorine is a key element for nucleosynthetic studies since it is extremely
sensitive to the physical conditions within stars. The astrophysical site to
produce fluorine is suggested to be asymptotic giant branch (AGB) stars. In
these stars the 15N(n, g)16N reaction could affect the abundance of fluorine by
competing with 15N(a, g)19F. The 15N(n, g)16N reaction rate depends directly on
the neutron spectroscopic factors of the low-lying states in 16N. The angular
distributions of the 15N(7Li, 6Li)16N reaction populating the ground state and
the first three excited states in 16N are measured using a Q3D magnetic
spectrograph and are used to derive the spectroscopic factors of these states
based on distorted wave Born approximation (DWBA) analysis. The spectroscopic
factors of these four states are extracted to be 0.96+-0.09, 0.69+-0.09,
0.84+-0.08 and 0.65+-0.08, respectively. Based on the new spectroscopic factors
we derive the 15N(n,g)16N reaction rate. The accuracy and precision of the
spectroscopic factors are enhanced due to the first application of
high-precision magnetic spectrograph for resolving the closely-spaced 16N
levels which can not be achieved in most recent measurement. The present result
demonstrates that two levels corresponding to neutron transfers to the 2s1/2
orbit in 16N are not so good single-particle levels although 15N is a closed
neutron-shell nucleus. This finding is contrary to the shell model expectation.
The present work also provides an independent examination to shed some light on
the existing discrepancies in the spectroscopic factors and the 15N(n, g)16N
rate.


title:
Optical hyperpolarization and NMR detection of $^{129}$Xe on a
  microfluidic chip

abstract:
  Optically hyperpolarized $^{129}$Xe gas has become a powerful contrast agent
in nuclear magnetic resonance (NMR) spectroscopy and imaging, with applications
ranging from studies of the human lung to the targeted detection of
biomolecules. Equally attractive is its potential use to enhance the
sensitivity of microfluidic NMR experiments, in which small sample volumes
yield poor sensitivity. Unfortunately, most $^{129}$Xe polarization systems are
large and non-portable. Here we present a microfabricated chip that optically
polarizes $^{129}$Xe gas. We have achieved $^{129}$Xe polarizations greater
than 0.5$\%$ at flow rates of several microliters per second, compatible with
typical microfluidic applications. We employ in situ optical magnetometry to
sensitively detect and characterize the $^{129}$Xe polarization at magnetic
fields of 1 $\mu$T. We construct the device using standard microfabrication
techniques, which will facilitate its integration with existing microfluidic
platforms. This device may enable the implementation of highly sensitive
$^{129}$Xe NMR in compact, low-cost, portable devices.


title:
Determining Relevant Relations for Datalog Queries under Access
  Limitations is Undecidable

abstract:
  Access limitations are restrictions in the way in which the tuples of a
relation can be accessed. Under access limitations, query answering becomes
more complex than in the traditional case, with no guarantee that the answer
tuples that can be extracted (aka maximal answer) are all those that would be
found without access limitations (aka complete answer). The field of query
answering under access limitations has been broadly investigated in the past.
Attention has been devoted to the problem of determining relations that are
relevant for a query, i.e., those (possibly off-query) relations that might
need to be accessed in order to find all tuples in the maximal answer. In this
short paper, we show that relevance is undecidable for Datalog queries.


title:
Theoretical Constraints on Additional Higgs Bosons in Light of the 126
  GeV Higgs

abstract:
  We present a sum rule for Higgs fields in general representations under
$SU(2)_L \times U(1)_Y$ that follows from the connection between the Higgs
couplings and the mechanism that gives the electroweak bosons their masses, and
at the same time restricts these couplings. Sum rules that follow from
perturbative unitarity will require us to include singly and doubly charged
Higgses in our analysis. We examine the consequences of these sum rules for
Higgs phenomenology in both model independent and model specific ways. The
relation between our sum rules and other works, based on dispersion relations,
is also clarified.


title: Outbreak statistics and scaling laws for externally driven epidemics

abstract:
  Power-law scalings are ubiquitous to physical phenomena undergoing a
continuous phase transition. The classic Susceptible-Infectious-Recovered (SIR)
model of epidemics is one such example where the scaling behavior near a
critical point has been studied extensively. In this system the distribution of
outbreak sizes scales as $P(n) \sim n^{-3/2}$ at the critical point as the
system size $N$ becomes infinite. The finite-size scaling laws for the outbreak
size and duration are also well understood and characterized. In this work, we
report scaling laws for a model with SIR structure coupled with a constant
force of infection per susceptible, akin to a `reservoir forcing'. We find that
the statistics of outbreaks in this system are fundamentally different than
those in a simple SIR model. Instead of fixed exponents, all scaling laws
exhibit tunable exponents parameterized by the dimensionless rate of external
forcing. As the external driving rate approaches a critical value, the scale of
the average outbreak size converges to that of the maximal size, and above the
critical point, the scaling laws bifurcate into two regimes. Whereas a simple
SIR process can only exhibit outbreaks of size $\mathcal{O}(N^{1/3})$ and
$\mathcal{O}(N)$ depending on whether the system is at or above the epidemic
threshold, a driven SIR process can exhibit a richer spectrum of outbreak sizes
that scale as $O(N^{\xi})$ where $\xi \in (0,1] \backslash \{2/3\}$ and
$\mathcal{O}((N/\log N)^{2/3})$ at the multi-critical point.


title:
Temperature and composition dependence of short-range order and entropy,
  and statistics of bond length: the semiconductor alloy (GaN)$_{1-x}$(ZnO)$_x$

abstract:
  We present total energy and force calculations on the
(GaN)$_{1-x}$(ZnO)$_{x}$ alloy. Site-occupancy configurations are generated by
Monte Carlo (MC) simulations, based on a cluster expansion (CE) model proposed
in a previous study. Surprisingly large local atomic coordinate relaxations are
found by density-functional calculations using a 432-atom periodic supercell,
for three representative configurations at $x=0.5$. These are used to generate
bond length distributions. The configurationally averaged composition- and
temperature-dependent short-range order (SRO) parameters of the alloys are
discussed. Entropy is approximated in terms of pair distribution statistics and
thus related to SRO parameters. This approximate entropy is compared with
accurate numerical values from MC. An empirical model for the dependence of
bond length on local chemical environments is proposed.


title: Chern--Simons theory, surface separability, and volumes of 3-manifolds

abstract:
  We study the set ${\rm vol}\left(M,G\right)$ of volumes of all
representations $\rho\co\pi_1M\to G$, where $M$ is a closed oriented
$3$-manifold and $G$ is either ${\rm Iso}_+{\Hi}^3$ or ${\rm Iso}_e\t{\rm
SL_2(\R)}$.
  By various methods, including relations between the volume of representations
and the Chern--Simons invariants of flat connections, and recent results of
surfaces in 3-manifolds, we prove that any 3-manifold $M$ with positive Gromov
simplicial volume has a finite cover $\t M$ with ${\rm vol}(\t M,{\rm
Iso}_+{\Hi}^3)\ne \{0\}$, and that any non-geometric 3-manifold $M$ containing
at least one Seifert piece has a finite cover $\t M$ with ${\rm vol}(\t M,{\rm
Iso}_e\t{\rm SL_2(\R)}) \ne \{0\}$.
  We also find 3-manifolds $M$ with positive simplicial volume but ${\rm
vol}(M,{\rm Iso}_+{\Hi}^3)=\{0\}$, and non-trivial graph manifolds $M$ with
${\rm vol}(M,{\rm Iso}_e\t{\rm SL_2(\R)})=\{0\}$, proving that it is in general
necessary to pass to some finite covering to guarantee that ${\rm
vol}(M,G)\not=\{0\}$.
  Besides we determine ${\rm vol}\left(M, G \right)$ when $M$ supports the
Seifert geometry.


title:
Perturbative stability of the approximate Killing field eigenvalue
  problem

abstract:
  An approximate Killing field may be defined on a compact, Riemannian geometry
by solving an eigenvalue problem for a certain elliptic operator. This paper
studies the effect of small perturbations in the Riemannian metric on the
resulting vector field. It shows that small metric perturbations, as measured
using a Sobolev-type supremum norm on the space of Riemannian geometries on a
fixed manifold, yield small perturbations in the approximate Killing field, as
measured using a Hilbert-type square integral norm. It also discusses
applications to the problem of computing the spin of a generic black hole in
general relativity.


title: A note on axial symmetries

abstract:
  This note describes a local scheme to characterize and normalize an axial
Killing field on a general Riemannian geometry. No global assumptions are
necessary, such as that the orbits of the Killing field all have period $2
\pi$. Rather, any Killing field that vanishes at at least one point necessarily
has the expected global properties.


title:
High Order Maximum Principle Preserving Semi-Lagrangian Finite
  Difference WENO schemes for the Vlasov Equation

abstract:
  In this paper, we propose the parametrized maximum principle preserving (MPP)
flux limiter, originally developed in [Z. Xu, Math. Comp., (2013), in press],
to the semi- Lagrangian finite difference weighted essentially non-oscillatory
scheme for solving the Vlasov equation. The MPP flux limiter is proved to
maintain up to fourth order accuracy for the semi-Lagrangian finite difference
scheme without any time step restriction. Numerical studies on the
Vlasov-Poisson system demonstrate the performance of the proposed method and
its ability in preserving the positivity of the probability distribution
function while maintaining the high order accuracy.


title: Multi-modal filtering for non-linear estimation

abstract:
  Multi-modal densities appear frequently in time series and practical
applications. However, they cannot be represented by common state estimators,
such as the Extended Kalman Filter (EKF) and the Unscented Kalman Filter (UKF),
which additionally suffer from the fact that uncertainty is often not captured
sufficiently well, which can result in incoherent and divergent tracking
performance. In this paper, we address these issues by devising a non-linear
filtering algorithm where densities are represented by Gaussian mixture models,
whose parameters are estimated in closed form. The resulting method exhibits a
superior performance on typical benchmarks.


title:
A Proposal to Measure the Quasiparticle Poisoning Time of Majorana Bound
  States

abstract:
  We propose a method of measuring the fermion parity lifetime of Majorana
fermion modes due to quasiparticle poisoning. We model quasiparticle poisoning
by coupling the Majorana modes to electron reservoirs, explicitly breaking
parity conservation in the system. This poisoning broadens and shortens the
resonance peak associated with Majorana modes. In a two lead geometry, the
poisoning decreases the correlation in current noise between the two leads from
the maximal value characteristic of crossed Andreev reflection. The latter
measurement allows for calculation of the poisoning rate even if temperature is
much higher than the resonance width.


title:
Hydrodynamic Modeling for Relativistic Heavy Ion Collisions at RHIC and
  the LHC

abstract:
  In this article, we briefly review recent progress on hydrodynamic modeling
and its implementations to relativistic heavy-ion collisions at RHIC and the
LHC. The related topics include: 1) initial state fluctuations, final state
correlations and event-by-event hydrodynamics, 2) extracting the QGP shear
viscosity from flow data, 3) flow and hydrodynamics in 5.02 A TeV p+Pb
collisions.


title:
Decoupling Theoretical Uncertainties from Measurements of the Higgs
  Boson

abstract:
  We develop a technique to present Higgs coupling measurements, which decouple
the poorly defined theoretical uncertainties associated to inclusive and
exclusive cross section predictions. The technique simplifies the combination
of multiple measurements and can be used in a more general setting. We
illustrate the approach with toy LHC Higgs coupling measurements and a
collection of new physics models.


title:
A new semidefinite relaxation for $\ell_{1}$-constrained quadratic
  optimization and extensions

abstract:
  In this paper, by improving the variable-splitting approach, we propose a new
semidefinite programming (SDP) relaxation for the nonconvex quadratic
optimization problem over the $\ell_1$ unit ball (QPL1). It dominates the
state-of-the-art SDP-based bound for (QPL1). As extensions, we apply the new
approach to the relaxation problem of the sparse principal component analysis
and the nonconvex quadratic optimization problem over the $\ell_p$ ($1< p<2$)
unit ball and then show the dominance of the new relaxation.


title:
Combined field formulation and a simple stable explicit interface
  advancing scheme for fluid structure interaction

abstract:
  We develop a combined field formulation for the fluid structure (FS)
interaction problem. The unknowns are (u;p;v), being the fluid velocity, fluid
pressure and solid velocity. This combined field formulation uses Arbitrary
Lagrangian Eulerian (ALE) description for the fluid and Lagrangian description
for the solid. It automatically enforces the simultaneous continuities of both
velocity and traction along the FS interface. We present a first order in time
fully discrete scheme when the flow is incompressible Navier-Stokes and when
the solid is elastic. The interface position is determined by first order
extrapolation so that the generation of the fluid mesh and the computation of
(u;p;v) are decoupled. This explicit interface advancing enables us to save
half of the unknowns comparing with traditional monolithic schemes. When the
solid has convex strain energy (e.g. linear elastic), we prove that the total
energy of the fluid and the solid at time t^{n} is bounded by the total energy
at time t^{n-1}. Like in the continuous case, the fluid mesh velocity which is
used in ALE description does not enter into the stability bound. Surprisingly,
the nonlinear convection term in the Navier-Stokes equations plays a crucial
role to stabilize the scheme and the stability result does not apply to Stokes
flow. As the nonlinear convection term is treated semi-implicitly, in each time
step, we only need to solve a linear system (and only once) which involves
merely (u;p;v) if the solid is linear elastic. Two numerical tests including
the benchmark test of Navier-Stokes flow past a Saint Venant-Kirchhoff elastic
bar are performed. In addition to the stability, we also confirm the first
order temporal accuracy of our explicit interface advancing scheme.


title:
The enclosure method for inverse obstacle scattering using a single
  electromagnetic wave in time domain

abstract:
  In this paper, a time domain enclosure method for an inverse obstacle
scattering problem of electromagnetic wave is introduced. The wave as a
solution of Maxwell's equations is generated by an applied volumetric current
having an {\it orientation} and supported outside an unknown obstacle and
observed on the same support over a finite time interval. It is assumed that
the obstacle is a perfect conductor. Two types of analytical formulae which
employ a {\it single} observed wave and explicitly contain information about
the geometry of the obstacle are given. In particular, an effect of the
orientation of the current is catched in one of two formulae. Two corollaries
concerning with the detection of the points on the surface of the obstacle
nearest to the centre of the current support and curvatures at the points are
also given.


title:
Design of a Monopole Antenna Based Resonant Nanocavity for Detection of
  Optical Power from Hybrid Plasmonic Waveguides

abstract:
  A novel plasmonic waveguide-coupled nanocavity with a monopole antenna is
proposed to localize the optical power from a hybrid plasmonic waveguide and
subsequently convert it into electrical current. The nanocavity is designed as
a Fabry-P\'erot waveguide resonator, while the monopole antenna is made of a
metallic nanorod directly mounted onto the metallic part of the waveguide
terminal which acts as the conducting ground. The nanocavity coincides with the
antenna feed sandwiched in between the antenna and the ground. Maximum power
from the waveguide can be coupled into, and absorbed in the nanocavity by means
of the field resonance in the antenna as well as in the nanocavity. Simulation
results show that 42% optical power from the waveguide can be absorbed in a
germanium filled nanocavity with a nanoscale volume of 220x150x60nm$^3$. The
design may find applications in nanoscale photo-detection, subwavelength light
focusing and manipulating, as well as sensing.


title: Probabilistic Spectral Sparsification In Sublinear Time

abstract:
  In this paper, we introduce a variant of spectral sparsification, called
probabilistic $(\varepsilon,\delta)$-spectral sparsification. Roughly speaking,
it preserves the cut value of any cut $(S,S^{c})$ with an $1\pm\varepsilon$
multiplicative error and a $\delta\left|S\right|$ additive error. We show how
to produce a probabilistic $(\varepsilon,\delta)$-spectral sparsifier with
$O(n\log n/\varepsilon^{2})$ edges in time $\tilde{O}(n/\varepsilon^{2}\delta)$
time for unweighted undirected graph. This gives fastest known sub-linear time
algorithms for different cut problems on unweighted undirected graph such as
  - An $\tilde{O}(n/OPT+n^{3/2+t})$ time $O(\sqrt{\log n/t})$-approximation
algorithm for the sparsest cut problem and the balanced separator problem.
  - A $n^{1+o(1)}/\varepsilon^{4}$ time approximation minimum s-t cut algorithm
with an $\varepsilon n$ additive error.


title:
Forward-Backward Greedy Algorithms for General Convex Smooth Functions
  over A Cardinality Constraint

abstract:
  We consider forward-backward greedy algorithms for solving sparse feature
selection problems with general convex smooth functions. A state-of-the-art
greedy method, the Forward-Backward greedy algorithm (FoBa-obj) requires to
solve a large number of optimization problems, thus it is not scalable for
large-size problems. The FoBa-gdt algorithm, which uses the gradient
information for feature selection at each forward iteration, significantly
improves the efficiency of FoBa-obj. In this paper, we systematically analyze
the theoretical properties of both forward-backward greedy algorithms. Our main
contributions are: 1) We derive better theoretical bounds than existing
analyses regarding FoBa-obj for general smooth convex functions; 2) We show
that FoBa-gdt achieves the same theoretical performance as FoBa-obj under the
same condition: restricted strong convexity condition. Our new bounds are
consistent with the bounds of a special case (least squares) and fills a
previously existing theoretical gap for general convex smooth functions; 3) We
show that the restricted strong convexity condition is satisfied if the number
of independent samples is more than $\bar{k}\log d$ where $\bar{k}$ is the
sparsity number and $d$ is the dimension of the variable; 4) We apply FoBa-gdt
(with the conditional random field objective) to the sensor selection problem
for human indoor activity recognition and our results show that FoBa-gdt
outperforms other methods (including the ones based on forward greedy selection
and L1-regularization).


title:
Contributors of carbon dioxide in the atmosphere in Europe: the surface
  response analysis

abstract:
  This paper is a continuation of the statistical modeling of the nonlinear
relationship between atmospheric CO2 and attributable variables that can
account for emissions, based on data from EU countries, in order to compare the
relevant findings to those obtained in the case of US data, in [1, 2]. The
current study was initiated in [3], leading to the optimal second-order model,
based on three linear terms and five second-order terms. We conclude this study
in the present work, by finding the canonical decomposition of the nonlinear
model, and by computing the specific two-dimensional confidence regions that it
leads to. We then use the model in order to quantify the net effect of various
risk factors, and compare to the results obtained in the US case.


title: $\tau$-Complete Factorization in Commutative Rings with Zero-Divisors

abstract:
  Much work has been done on generalized factorization techniques in integral
domains, namely $\tau$-factorization. There has also been substantial progress
made in investigating factorization in commutative rings with zero-divisors.
There are many ways authors have decided to study factorization when
zero-divisors present. This paper focuses on the method $\tau$-complete
factorizations developed by D.D. Anderson and A. Frazier. There is a natural
way to extend $\tau$-complete factorization to commutative rings with
zero-divisors. $\tau$-complete factorization is a natural way to think of
refining factorizations into smaller pieces until one simply cannot refine any
further. We see that this notion translates well into the case of commutative
rings with zero-divisors and there is an interesting relationship between the
$\tau$-complete finite factorization properties and the original $\tau$-finite
factorization properties in rings with zero-divisors developed by the author in
2012.


title:
Adiabatic theorems with and without spectral gap condition for
  non-semisimple spectral values

abstract:
  We establish adiabatic theorems with and without spectral gap condition for
general operators $A(t): D(A(t)) \subset X \to X$ with possibly time-dependent
domains in a Banach space $X$. We first prove adiabatic theorems with uniform
and non-uniform spectral gap condition (including a slightly extended adiabatic
theorem of higher order). In these adiabatic theorems the considered spectral
subsets $\sigma(t)$ have only to be compact -- in particular, they need not
consist of eigenvalues. We then prove an adiabatic theorem without spectral gap
condition for not necessarily (weakly) semisimple eigenvalues: in essence, it
is only required there that the considered spectral subsets $\sigma(t) = \{
\lambda(t) \}$ consist of eigenvalues $\lambda(t) \in \partial \sigma(A(t))$
and that there exist projections $P(t)$ reducing $A(t)$ such that
$A(t)|_{P(t)D(A(t))}-\lambda(t)$ is nilpotent and
$A(t)|_{(1-P(t))D(A(t))}-\lambda(t)$ is injective with dense range in
$(1-P(t))X$ for almost every~$t$. In all these theorems, the regularity
conditions imposed on $t \mapsto A(t)$, $\sigma(t)$, $P(t)$ are fairly mild. We
explore the strength of the presented adiabatic theorems in numerous examples.
And finally, we apply the adiabatic theorems for time-dependent domains to
obtain -- in a very simple way -- adiabatic theorems for operators $A(t)$
defined by symmetric sesquilinear forms.


title:
Higher-order symmetry energy of nuclear matter and the inner edge of
  neutron star crusts

abstract:
  The parabolic approximation to the equation of state of the isospin
asymmetric nuclear matter (ANM) is widely used in the literature to make
predictions for the nuclear structure and the neutron star properties. Based on
the realistic M3Y-Paris and M3Y-Reid nucleon-nucleon interactions, we
investigate the effects of the higher-order symmetry energy on the proton
fraction in neutron stars and the location of the inner edge of their crusts
and their core-crust transition density and pressure, thermodynamically.
Analytical expressions for different-order symmetry energy coefficients of ANM
are derived using the realistic interactions mentioned above. It is found that
the higher-order terms of the symmetry energy coefficients up to its
eighth-order (E$_{sym8}$) contributes substantially to the proton fraction in
$\beta$ stable neutron star matter at different nuclear matter densities, the
core-crust transition density and pressure. Even by considering the symmetry
energy coefficients up to E$_{sym8}$, we obtain a significant change of about
40$\%$ in the transition pressure value from the one based on the exact
equation of state. Using equations of state based on both Paris and Reid
effective interactions which provide saturation incompressibility of symmetric
nuclear matter in the range of 220 MeV$\leq$K$_0$$\leq$270 MeV, we estimate the
ranges 0.090 fm$^{-3}$$\leq$$\rho_t$$\leq$0.095 fm$^{-3}$ and 0.49 MeV
fm$^{-3}$$\leq$P$_t$$\leq$ 0.59 MeV fm$^{-3}$ for the liquid core-solid crust
transition density and pressure, respectively. The corresponding range of the
proton fraction at this transition density range is found to be
0.029$\leq$x$_{p(t)}$$\leq$0.032.


title: $\tau$-Regular Factorization in Commutative Rings with Zero-Divisors

abstract:
  Recently there has been a flurry of research on generalized factorization
techniques in both integral domains and rings with zero-divisors, namely
$\tau$-factorization. There are several ways that authors have studied
factorization in rings with zero-divisors. This paper focuses on the method of
regular factorizations introduced by D.D. Anderson and S. Valdes-Leon. We
investigate how one can extend the notion of $\tau$-factorization to
commutative rings with zero-divisors by using the regular factorization
approach. The study of regular factorization is particularly effective because
the distinct notions of associate and irreducible coincide for regular
elements. We also note that the popular U-factorization developed by C.R.
Fletcher also coincides since every regular divisor is essential. This will
greatly simplify many of the cumbersome finite factorization definitions that
exist in the literature when studying factorization in rings with
zero-divisors.


title: A Novel Approach For Generating Face Template Using Bda

abstract:
  In identity management system, commonly used biometric recognition system
needs attention towards issue of biometric template protection as far as more
reliable solution is concerned. In view of this biometric template protection
algorithm should satisfy security, discriminability and cancelability. As no
single template protection method is capable of satisfying the basic
requirements, a novel technique for face template generation and protection is
proposed. The novel approach is proposed to provide security and accuracy in
new user enrollment as well as authentication process. This novel technique
takes advantage of both the hybrid approach and the binary discriminant
analysis algorithm. This algorithm is designed on the basis of random
projection, binary discriminant analysis and fuzzy commitment scheme. Three
publicly available benchmark face databases are used for evaluation. The
proposed novel technique enhances the discriminability and recognition accuracy
by 80% in terms of matching score of the face images and provides high
security.


title: An Oka Principle for a Parametric Infinite Transitivity Property

abstract:
  It is an elementary fact that the action by holomorphic automorphisms on C^n
is infinitely transitive, i.e., m-transitive for any m in N. The same holds on
any Stein manifold with the holomorphic density property X. We study a
parametrized case: we consider m points on X parametrized by a Stein manifold
W, and seek a family of automorphisms of X, parametrized by W, putting them
into a standard form which does not depend on the parameter. This general
transitivity is shown to enjoy an Oka principle, to the effect that the
obstruction to a holomorphic solution is of a purely topological nature. In the
presence of a volume form and of a corresponding density property, similar
results for volume-preserving automorphisms are obtained.


title:
The Scale-invariant Power Spectrum of Primordial Curvature Perturbation
  in CSTB Cosmos

abstract:
  We investigate the spectrum of cosmological perturbations in a bounce cosmos
modeled by a scalar field coupled to the string tachyon field (CSTB cosmos). By
explicit computation of its primordial spectral index we show the power
spectrum of curvature perturbations, generated during the tachyon matter
dominated contraction phase, to be nearly scale invariant. We propose a unified
space of parameters for a systematic study of inflationary/bouncing
cosmologies. We find that CSTB cosmos is dual--in Wands's sense--to the
slow-roll inflation model as can be easily seen from this unified parameter
space. Guaranteed by the dynamical attractor behavior of CSTB Cosmos, this
scale invariance is free of the fine-tuning problem, in contrast to the
slow-roll inflation model.


title: On Irreducible Divisor Graphs in Commutative Rings with Zero-Divisors

abstract:
  In this paper, we continue the program initiated by I. Beck's now classical
paper concerning zero-divisor graphs of commutative rings. After the success of
much research regarding zero-divisor graphs, many authors have turned their
attention to studying divisor graphs of non-zero elements in the ring, the so
called irreducible divisor graph. In this paper, we construct several different
associated irreducible divisor graphs of a commutative ring with unity using
various choices for the definition of irreducible and atomic in the literature.
We continue pursuing the program of exploiting the interaction between
algebraic structures and associated graphs to further our understanding of both
objects. Factorization in rings with zero-divisors is considerably more
complicated than integral domains; however, we find that many of the same
techniques can be extended to rings with zero-divisors. This allows us to not
only find graph theoretic characterizations of many of the finite factorization
properties that commutative rings may possess, but also understand graph
theoretic properties of graphs associated with certain commutative rings
satisfying nice factorization properties.


title:
Comparing the Nano-Resolution Depth Sensor to the Co-located Ocean
  Bottom Seismometer at MARS

abstract:
  Data from earthquake measurements using a Nano-Resolution Pressure Sensor and
a co-located Ocean Bottom Seismometer have been compared and analyzed. It is
shown that the Nano-Resolution Pressure Sensor can serve as a vertical OBS.
Moreover, using the pressure sensor in conjunction with a seismometer helps to
separate the ocean and seismic signals.


title: La-substituted CaFeAsH superconductor with Tc = 47 K

abstract:
  La-substituted CaFeAsH,(Ca1-xLax)FeAsH, were synthesized by the solid state
reaction at 1173 K under high pressure of 2.5 GPa. The r-T anomaly
corresponding to tetragonal to orthorhombic structural transition was
suppressed by La-substitution and then the superconductivity was observed at an
electron doping content of Ne > 0.05. The maximum onset Tc of 47.4 K was
reached for Ne = 0.18, which is significant increase compared to 23 K achieved
by direct electron doping to the FeAs-layer via Co-substitution to the Fe-site.
This value of Tc value fits well to the phenomenological relation between Tc
and the bond angle of As-Fe-As in indirectly electron doped LnFeAsO (Ln =
Lanthanide). These results indicate that the electron was doped via the
indirect mode through the aliovalent ion substitution to CaH-layer (Ca2+ La3+ +
e-).


title: Tachyon potentials from a supersymmetric FRW model

abstract:
  Considering that the effective theory of closed string tachyons can have
worldsheet supersymmetry, as shown by Vafa, we study a worldline supersymmetric
action in a FRW background, whose superpotential originates a tachyon scalar
potential. There are such potentials with spontaneously broken supersymmetry at
the instability and supersymmetric after tachyon condensation. Furthermore,
given a tachyonic potential, the superpotential can be computed by a power
series ansatz and has a free parameter which can be chosen such that complex
solutions become real.


title: Invariants for maximally entangled vectors and unitary bases

abstract:
  The purpose of this paper is to study the equivalence relation on unitary
bases defined by R. F. Werner [{\it J. Phys. A: Math. Gen.} {\bf 34} (2001)
7081], relate it to local operations on maximally entangled vectors bases, find
an invariant for equivalence classes in terms of certain commuting systems,
and, relate it to mutually unbiased bases and Hadamard matrices. Illustrations
are given in the context of latin squares and projective representations as
well. Applications to quantum tomography are indicated.


title:
Improving forecasting performance using covariate-dependent copula
  models

abstract:
  Copulas provide an attractive approach for constructing multivariate
distributions with flexible marginal distributions and different forms of
dependences. Of particular importance in many areas is the possibility of
explicitly forecasting the tail-dependences. Most of the available approaches
are only able to estimate tail-dependences and correlations via nuisance
parameters, but can neither be used for interpretation, nor for forecasting.
Aiming to improve copula forecasting performance, we propose a general Bayesian
approach for modeling and forecasting tail-dependences and correlations as
explicit functions of covariates. The proposed covariate-dependent copula model
also allows for Bayesian variable selection among covariates from the marginal
models as well as the copula density. The copulas we study include Joe-Clayton
copula, Clayton copula, Gumbel copula and Student's \emph{t}-copula. Posterior
inference is carried out using an efficient MCMC simulation method. Our
approach is applied to both simulated data and the S\&P 100 and S\&P 600 stock
indices. The forecasting performance of the proposed approach is compared with
other modeling strategies based on log predictive scores. Value-at-Risk
evaluation is also preformed for model comparisons.


title:
Anisotropic exchange coupling in a nanowire double quantum dot with
  strong spin-orbit coupling

abstract:
  A spin-orbit qubit is a hybrid qubit that contains both orbital and spin
degrees of freedom of an electron in a quantum dot. Here we study the exchange
coupling between two spin-orbit qubits in a nanowire double quantum dot (DQD)
with strong spin-orbit coupling (SOC). We find that while the total tunneling
in the DQD is irrelevant to the SOC, both the spin-conserved and spin-flipped
tunnelings are SOC dependent and can compete with each other in the strong SOC
regime. Moreover, the Coulomb repulsion between electrons can combine with the
SOC-dependent tunnelings to yield an anisotropic exchange coupling between the
two spin-orbit qubits. Also, we give an explicit physical mechanism for this
anisotropic exchange coupling.


title: A DDoS-Aware IDS Model Based on Danger Theory and Mobile Agents

abstract:
  We propose an artificial immune model for intrusion detection in distributed
systems based on a relatively recent theory in immunology called Danger theory.
Based on Danger theory, immune response in natural systems is a result of
sensing corruption as well as sensing unknown substances. In contrast,
traditional self-nonself discrimination theory states that immune response is
only initiated by sensing nonself (unknown) patterns. Danger theory solves many
problems that could only be partially explained by the traditional model.
Although the traditional model is simpler, such problems result in high false
positive rates in immune-inspired intrusion detection systems. We believe using
danger theory in a multi-agent environment that computationally emulates the
behavior of natural immune systems is effective in reducing false positive
rates. We first describe a simplified scenario of immune response in natural
systems based on danger theory and then, convert it to a computational model as
a network protocol. In our protocol, we define several immune signals and model
cell signaling via message passing between agents that emulate cells. Most
messages include application-specific patterns that must be meaningfully
extracted from various system properties. We show how to model these messages
in practice by performing a case study on the problem of detecting distributed
denial-of-service attacks in wireless sensor networks. We conduct a set of
systematic experiments to find a set of performance metrics that can accurately
distinguish malicious patterns. The results indicate that the system can be
efficiently used to detect malicious patterns with a high level of accuracy.


title: More Details on Analysis of Fractional-Order Lotka-Volterra Equation

abstract:
  According to the long-memory principle appears in fractional-order dynamical
systems, analysis of these systems is commonly more complicated than those
described by nonlinear ordinary differential equations. Another difficulty is
due to the fact that some classical tools such as the Lyapunov stability
theorems cannot directly be applied to nonlinear fractional differential
systems. The aim of this paper is to study the stability of a general form of
the two-dimensional fractional-order Lotka-Volterra equation and numerically
investigate the domain of attraction of its stable equilibrium points. It is
also shown that the fractional-order Lotka-Volterra system can never have a
stable focus although the linearized system has complex conjugate modes. Some
other properties of the fractional-order Lotka-Volterra equation, which are not
observed in integer-order case, are also discussed.


title: PSO-MISMO Modeling Strategy for Multi-Step-Ahead Time Series Prediction

abstract:
  Multi-step-ahead time series prediction is one of the most challenging
research topics in the field of time series modeling and prediction, and is
continually under research. Recently, the multiple-input several
multiple-outputs (MISMO) modeling strategy has been proposed as a promising
alternative for multi-step-ahead time series prediction, exhibiting advantages
compared with the two currently dominating strategies, the iterated and the
direct strategies. Built on the established MISMO strategy, this study proposes
a particle swarm optimization (PSO)-based MISMO modeling strategy, which is
capable of determining the number of sub-models in a self-adaptive mode, with
varying prediction horizons. Rather than deriving crisp divides with equal-size
s prediction horizons from the established MISMO, the proposed PSO-MISMO
strategy, implemented with neural networks, employs a heuristic to create
flexible divides with varying sizes of prediction horizons and to generate
corresponding sub-models, providing considerable flexibility in model
construction, which has been validated with simulated and real datasets.


title: Cohesion Energetics of Carbon Allotropes : Quantum Monte Carlo Study

abstract:
  We have performed quantum Monte Carlo calculations to study the cohesion
energetics of carbon allotropes, including $sp^3$-bonded diamond, $sp^2$-bonded
graphene, $sp$-$sp^2$ hybridized graphynes, and $sp$-bonded carbyne. The
computed cohesive energies of diamond and graphene are found to be in excellent
agreement with the corresponding values determined experimentally for diamond
and graphite, respectively, when the zero-point energies, along with the
interlayer binding in the case of graphite, are included. We have also found
that the cohesive energy of graphyne decreases systematically as the ratio of
$sp$-bonded carbon atoms increases. The cohesive energy of $\gamma$-graphyne,
the most energetically-stable graphyne, turns out to be 6.766(6) eV/atom, which
is smaller than that of graphene by 0.698(12) eV/atom. Experimental difficulty
in synthesizing graphynes could be explained by their significantly smaller
cohesive energies. Finally we conclude that the cohesive energy of a
newly-proposed graphyne can be accurately estimated with the carbon-carbon bond
energies determined from the cohesive energies of graphene and three different
graphynes considered here.


title:
Method for Undershoot-Less Control of Non-Minimum Phase Plants Based on
  Partial Cancellation of the Non-Minimum Phase Zero: Application to
  Flexible-Link Robots

abstract:
  As a well understood classical fact, non- minimum phase zeros of the process
located in a feedback connection cannot be cancelled by the corresponding poles
of controller since such a cancellation leads to internal instability. This
impossibility of cancellation is the source of many limitations in dealing with
the feedback control of non-minimum phase processes. The aim of this paper is
to study the possibility and usefulness of partial (fractional-order)
cancellation of such zeros for undershoot-less control of non-minimum phase
processes. In this method first the non-minimum phase zero of the process is
cancelled to an arbitrary degree by the proposed pre-compensator and then a
classical controller is designed to control the series connection of these two
systems. Since plants with multiple non-minimum phase zeros and oscillatory
poles are very common in the problems related to robotics, the proposed method
is applied to these systems to confirm its effectiveness.


title:
From Liouville's theorem to quasilinear, nonlinear stochastic, and
  fractional transport, a multi-scale kinetics of plasma turbulence

abstract:
  From Liouville's equation, a phase-space multi-scale transport equation is
systematically derived. The proposed phase-space multi-scale transport equation
based on the first principle indicates that the nonlinear stochastic transport
is due to the micro-turbulence scattering while the familiar quasilinear
transport is due to the long-range correlation of the meso-scale coherent
modes; and more interestingly, it demonstrates a systematic derivation of the
fractional transport equation that may provide a new view-angle to understand
the anomalous transport observed in plasma turbulence. The multi-scale kinetics
suggests a new approach to confinement improvement through the formation of
nonlinearly self-organized stable large-scale structures.


title:
On Packing Almost Half of a Square with Anchored Rectangles: A
  Constructive Approach

abstract:
  In this paper, we consider the following geometric puzzle whose origin was
traced to Allan Freedman \cite{croft91,tutte69} in the 1960s by Dumitrescu and
T{\'o}th \cite{adriancasaba2011}. The puzzle has been popularized of late by
Peter Winkler \cite{Winkler2007}. Let $P_{n}$ be a set of $n$ points, including
the origin, in the unit square $U = [0,1]^2$. The problem is to construct $n$
axis-parallel and mutually disjoint rectangles inside $U$ such that the
bottom-left corner of each rectangle coincides with a point in $P_{n}$ and the
total area covered by the rectangles is maximized. We would term the above
rectangles as \emph{anchored rectangles}. The longstanding conjecture has been
that at least half of $U$ can be covered when anchored rectangles are properly
placed. Dumitrescu and T{\'o}th \cite{Dumitrescu2012} have shown a construction
method that can cover at least $0.09121$, i.e., roughly $9\%$ of the area.


title:
Transients from initial conditions based on Lagrangian perturbation
  theory in $N$-body simulations II: the effect of the transverse mode

abstract:
  We study the initial conditions for cosmological $N$-body simulations for
precision cosmology. In general, Zel'dovich approximation has been applied for
the initial conditions of $N$-body simulations for a long time. These initial
conditions provide incorrect higher-order growth. These error caused by setting
up the initial conditions by perturbation theory is called transients. We
investigated the impact of transient on non-Gaussianity of density field by
performing cosmological $N$-body simulations with initial conditions based on
first-, second-, and third-order Lagrangian perturbation theory in previous
paper. In this paper, we evaluates the effect of the transverse mode in the
third-order Lagrangian perturbation theory for several statistical quantities
such as power spectrum, non-Gaussianty, and multifractal dimensions. Then we
clarified that the effect of the transverse mode in the third-order Lagrangian
perturbation theory is quite small.


title:
The Quest to Understand Supergranulation and Large-Scale Convection in
  the Sun

abstract:
  Surface granulation of the Sun is primarily a consequence of thermal
transport in the outer 1 % of the radius. Its typical scale of about 1 - 2 Mm
is set by the balance between convection, free-streaming radiation, and the
strong density stratification in the surface layers.
  The physics of granulation is well understood, as demonstrated by the close
agreement between numerical simulation, theory, and observation. Superimposed
on the energetic granular structure comprising high-speed flows, are larger
scale long-lived flow systems (~ 300 m/s) called supergranules.
Supergranulation has a typical scale of 24 - 36 Mm. It is not clear if
supergranulation results from the interaction of granules or is causally linked
to deep convection or a consequence of magneto-convection. Other outstanding
questions remain: how deep are supergranules? How do they participate in global
dynamics of the Sun? Further challenges are posed by our lack of insight into
the dynamics of larger scales in the deep convection region. Recent
helioseismic constraints have suggested that convective velocity amplitudes on
large scales may be overestimated by an order of magnitude or more, implying
that Reynolds stresses associated with large-scale convection, thought to play
a significant role in the sustenance of differential rotation and meridional
circulation, might be two orders of magnitude weaker than theory and
computation predict. While basic understanding on the nature of convection on
global scales and the maintenance of global circulations is incomplete,
progress is imminent, given substantial improvements in computation, theory and
helioseismic inferences.


title:
Magnetic Configurations Related to the Coronal Heating and Solar Wind
  Generation I. Twist and Expansion Profiles of Magnetic Loops Produced by Flux
  Emergence

abstract:
  The generation of outflows from the Sun known as solar winds is coupled with
the heating of the solar corona, and both processes are operated in magnetic
structures formed on the Sun. To study the magnetic configuration responsible
for these processes, we use three-dimensional magnetohydrodynamic simulations
to reproduce magnetic structures via flux emergence and investigate their
configurations. We focus on two key quantities characterizing a magnetic
configuration: the force-free parameter alpha and the flux expansion rate fex,
the former of which represents how much a magnetic field is twisted while the
latter represents how sharply a magnetic field expands. We derive distributions
of these quantities in an emerging flux region. Our result shows that an
emerging flux region consists of outer part where a magnetic loop takes a large
flux expansion rate but a small value of alpha at their photospheric
footpoints, and inner part occupied by those loops where a strong electric
current flows. We also investigate the expansion profile of a magnetic loop
composing an emerging flux region. The profile is given by an exponential
expansion type near the solar surface while it is given by a quadratic
expansion type in an outer atmosphere. These detailed magnetic configurations
obtained by this study contribute to developing a realistic model for the
coronal heating and solar wind generation.


title:
On the Structure of Involutions and Symmetric Spaces of Quasi Dihedral
  Group

abstract:
  Let $G=QD_{8k}~$ be the quasi-dihedral group of order $8n$ and $\theta$ be an
automorphism of $QD_{8k}$ of finite order. The fixed-point set $H$ of $\theta$
is defined as $H_{\theta}=G^{\theta}=\{x\in G \mid \theta(x)=x\}$ and
generalized symmetric space $Q$ of $\theta$ given by $Q_{\theta}=\{g\in G \mid
g=x\theta(x)^{-1}~\mbox{for some}~x\in G\}.$
  The characteristics of the sets $H$ and $Q$ have been calculated. It is shown
that for any $H$ and $Q,~~H.Q\neq QD_{8k}.$ the $H$-orbits on $Q$ are obtained
under different conditions. Moreover, the formula to find the order of $v$-th
root of unity in $\mathbb{Z}_{2k}$ for $QD_{8k}$ has been calculated. The
criteria to find the number of equivalence classes denoted by $C_{4k}$ of the
involution automorphism has also been constructed. Finally, the set of twisted
involutions $R=R_{\theta}=\{~x\in G~\mid~\theta(x)=x^{-1}\}$ has been explored.


title: Connectivity-preserving Geometry Images

abstract:
  We propose connectivity-preserving geometry images (CGIMs), which map a
three-dimensional mesh onto a rectangular regular array of an image, such that
the reconstructed mesh produces no sampling errors, but merely round-off
errors. We obtain a V-matrix with respect to the original mesh, whose elements
are vertices of the mesh, which intrinsically preserves the vertex-set and the
connectivity of the original mesh in the sense of allowing round-off errors. We
generate a CGIM array by using the Cartesian coordinates of corresponding
vertices of the V-matrix. To reconstruct a mesh, we obtain a vertex-set and an
edge-set by collecting all the elements with different pixels, and all
different pairwise adjacent elements from the CGIM array respectively. Compared
with traditional geometry images, CGIMs achieve minimum reconstruction errors
with an efficient parametrization-free algorithm via elementary permutation
techniques. We apply CGIMs to lossy compression of meshes, and the experimental
results show that CGIMs perform well in reconstruction precision and detail
preservation.


title: Internames: a name-to-name principle for the future Internet

abstract:
  We propose Internames, an architectural framework in which names are used to
identify all entities involved in communication: contents, users, devices,
logical as well as physical points involved in the communication, and services.
By not having a static binding between the name of a communication entity and
its current location, we allow entities to be mobile, enable them to be reached
by any of a number of basic communication primitives, enable communication to
span networks with different technologies and allow for disconnected operation.
Furthermore, with the ability to communicate between names, the communication
path can be dynamically bound to any of a number of end-points, and the
end-points themselves could change as needed. A key benefit of our architecture
is its ability to accommodate gradual migration from the current IP
infrastructure to a future that may be a ubiquitous Information Centric
Network. Basic building blocks of Internames are: i) a name-based Application
Programming Interface; ii) a separation of identifiers (names) and locators;
iii) a powerful Name Resolution Service (NRS) that dynamically maps names to
locators, as a function of time/location/context/service; iv) a built-in
capacity of evolution, allowing a transparent migration from current networks
and the ability to include as particular cases current specific architectures.
To achieve this vision, shared by many other researchers, we exploit and expand
on Information Centric Networking principles, extending ICN functionality
beyond content retrieval, easing send-to-name and push services, and allowing
to use names also to route data in the return path. A key role in this
architecture is played by the NRS, which allows for the co-existence of
multiple network "realms", including current IP and non-IP networks, glued
together by a name-to-name overarching communication primitive.


title: Opinion Dynamics and Influencing on Random Geometric Graphs

abstract:
  We investigate the two-word Naming Game on two-dimensional random geometric
graphs. Studying this model advances our understanding of the spatial
distribution and propagation of opinions in social dynamics. A main feature of
this model is the spontaneous emergence of spatial structures called opinion
domains which are geographic regions with clear boundaries within which all
individuals share the same opinion. We provide the mean-field equation for the
underlying dynamics and discuss several properties of the equation such as the
stationary solutions and two-time-scale separation. For the evolution of the
opinion domains we find that the opinion domain boundary propagates at a speed
proportional to its curvature. Finally we investigate the impact of committed
agents on opinion domains and find the scaling of consensus time.


title: Controlled Sparsity Kernel Learning

abstract:
  Multiple Kernel Learning(MKL) on Support Vector Machines(SVMs) has been a
popular front of research in recent times due to its success in application
problems like Object Categorization. This success is due to the fact that MKL
has the ability to choose from a variety of feature kernels to identify the
optimal kernel combination. But the initial formulation of MKL was only able to
select the best of the features and misses out many other informative kernels
presented. To overcome this, the Lp norm based formulation was proposed by
Kloft et. al. This formulation is capable of choosing a non-sparse set of
kernels through a control parameter p. Unfortunately, the parameter p does not
have a direct meaning to the number of kernels selected. We have observed that
stricter control over the number of kernels selected gives us an edge over
these techniques in terms of accuracy of classification and also helps us to
fine tune the algorithms to the time requirements at hand. In this work, we
propose a Controlled Sparsity Kernel Learning (CSKL) formulation that can
strictly control the number of kernels which we wish to select. The CSKL
formulation introduces a parameter t which directly corresponds to the number
of kernels selected. It is important to note that a search in t space is finite
and fast as compared to p. We have also provided an efficient Reduced Gradient
Descent based algorithm to solve the CSKL formulation, which is proven to
converge. Through our experiments on the Caltech101 Object Categorization
dataset, we have also shown that one can achieve better accuracies than the
previous formulations through the right choice of t.


title:
Shintani functions, real spherical manifolds, and symmetry breaking
  operators

abstract:
  For a pair of reductive groups $G \supset G'$, we prove a geometric criterion
for the space $Sh(\lambda, \nu)$ of Shintani functions to be finite-dimensional
in the Archimedean case.
  This criterion leads us to a complete classification of the symmetric pairs
$(G,G')$ having finite-dimensional Shintani spaces.
  A geometric criterion for uniform boundedness of $dim Sh(\lambda, \nu)$ is
also obtained.
  Furthermore, we prove that symmetry breaking operators of the restriction of
smooth admissible representations yield Shintani functions of moderate growth,
of which the dimension is determined for $(G, G') = (O(n+1,1), O(n,1))$.


title: Black Box Variational Inference

abstract:
  Variational inference has become a widely used method to approximate
posteriors in complex latent variables models. However, deriving a variational
inference algorithm generally requires significant model-specific analysis, and
these efforts can hinder and deter us from quickly developing and exploring a
variety of models for a problem at hand. In this paper, we present a "black
box" variational inference algorithm, one that can be quickly applied to many
models with little additional derivation. Our method is based on a stochastic
optimization of the variational objective where the noisy gradient is computed
from Monte Carlo samples from the variational distribution. We develop a number
of methods to reduce the variance of the gradient, always maintaining the
criterion that we want to avoid difficult model-based derivations. We evaluate
our method against the corresponding black box sampling based methods. We find
that our method reaches better predictive likelihoods much faster than sampling
methods. Finally, we demonstrate that Black Box Variational Inference lets us
easily explore a wide space of models by quickly constructing and evaluating
several models of longitudinal healthcare data.


title:
Expected time complexity of the auction algorithm and the push relabel
  algorithm for maximal bipartite matching on random graphs

abstract:
  In this paper we analyze the expected time complexity of the auction
algorithm for the matching problem on random bipartite graphs. We prove that
the expected time complexity of the auction algorithm for bipartite matching is
$O\left(\frac{N\log^2(N)}{\log\left(Np\right)}\right)$ on sequential machines.
This is equivalent to other augmenting path algorithms such as the HK
algorithm. Furthermore, we show that the algorithm can be implemented on
parallel machines with $O(\log(N))$ processors and shared memory with an
expected time complexity of $O(N\log(N))$.


title: A Fast and Practical Method to Estimate Volumes of Convex Polytopes

abstract:
  The volume is an important attribute of a convex body. In general, it is
quite difficult to calculate the exact volume. But in many cases, it suffices
to have an approximate value. Volume estimation methods for convex bodies have
been extensively studied in theory, however, there is still a lack of practical
implementations of such methods. In this paper, we present an efficient method
which is based on the Multiphase Monte-Carlo algorithm to estimate volumes of
convex polytopes. It uses the coordinate directions hit-and-run method, and
employs a technique of reutilizing sample points. The experiments show that our
method can efficiently handle instances with dozens of dimensions with high
accuracy.


title:
The ground state structure of electron's ensemble on one-dimension
  disordered lattice

abstract:
  The ground state of interacting particles on a disordered one-dimensional
host-lattice is studied by a direct numerical method. It is shown that if the
concentration of particles is small, then even a weak disorder of the
host-lattice breaks the long-range order of Generalized Wigner Crystal,
replacing it by the sequence of blocks (domains) of particles with random
lengths. The mean domains length as a function of the host-lattice disorder
parameter is also found. It is shown that the domain structure can be detected
by a weak random field, whose form is similar to that of the ground state but
has fluctuating domain walls positions. This is because the generalized
magnetization corresponding to the field has a sufficiently sharp peak as a
function of the amplitude of fluctuations for small amplitudes.


title:
The leading twist light-cone distribution amplitudes for the S-wave and
  P-wave quarkonia and their applications in single quarkonium exclusive
  productions

abstract:
  In this paper, we calculate twist-2 light-cone distribution amplitudes
(LCDAs) of the S-wave and P-wave quarkonia (namely $^1S_0$ state $\eta_{Q}$,
$^3S_1$ state $J/\psi(\Upsilon)$, $^1P_1$ state $h_{Q}$ and $^3P_J$ states
$\chi_{QJ}$ with $J=0,1,2$ and $Q=c,b$) to the next-leading order of the strong
coupling $\alpha_s$ and leading order of the velocity expansion $v$ in the
non-relativistic QCD (NRQCD). We apply these LCDAs to some single quarkonium
exclusive productions at large center-of-mass energy, such as $\gamma^*\to
\eta_Q\gamma, \chi_{QJ}\gamma~(J=0,1,2)$, $Z\to \eta_Q\gamma,
\chi_{QJ}\gamma~(J=0,1,2), J/\psi (\Upsilon)\gamma, h_Q\gamma$ and $h\to J/\psi
\gamma$, by adopting the collinear factorization. The asymptotic behaviors of
those processes obtained in NRQCD factorization are reproduced.