title: A Mapping Theorem for Topological Complexity

abstract:
  We give new lower bounds for the (higher) topological complexity of a space,
in terms of the Lusternik-Schnirelmann category of a certain auxiliary space.
We also give new lower bounds for the rational topological complexity of a
space, and more generally for the rational sectional category of a map, in
terms of the rational category of a certain auxiliary space. We use our results
to deduce consequences for the global (rational) homotopy structure of simply
connected, hyperbolic finite complexes.


title:
Near-separable Non-negative Matrix Factorization with $\ell_1$- and
  Bregman Loss Functions

abstract:
  Recently, a family of tractable NMF algorithms have been proposed under the
assumption that the data matrix satisfies a separability condition Donoho &
Stodden (2003); Arora et al. (2012). Geometrically, this condition reformulates
the NMF problem as that of finding the extreme rays of the conical hull of a
finite set of vectors. In this paper, we develop several extensions of the
conical hull procedures of Kumar et al. (2013) for robust ($\ell_1$)
approximations and Bregman divergences. Our methods inherit all the advantages
of Kumar et al. (2013) including scalability and noise-tolerance. We show that
on foreground-background separation problems in computer vision, robust
near-separable NMFs match the performance of Robust PCA, considered state of
the art on these problems, with an order of magnitude faster training time. We
also demonstrate applications in exemplar selection settings.


title: Automorphic Black Hole Entropy

abstract:
  Over the past few years the understanding of the microscopic theory of black
hole entropy has made important conceptual progress by recognizing that the
degeneracies are encoded in partition functions which are determined by higher
rank automorphic representations, in particular in the context of Siegel
modular forms of genus two. In this brief review some of the elements of this
framework are highlighted. One of the surprising aspects is that the Siegel
forms that have appeared in the entropic framework are geometric in origin,
arising from weight two cusp forms, hence from elliptic curves.


title: CMC hierarchy

abstract:
  We propose an extension of the differential system for constant mean
curvature (CMC) surfaces in a three dimensional space form to an associated
hierarchy of evolution equations by the higher-order commuting symmetries. The
infinite sequence of higher-order conservation laws of CMC surfaces admit the
corresponding extension to the conservation laws of the entire hierarchy. A
class of generalized CMC surfaces are introduced as the phase space of the
hierarchy. Via a canonical dressing transformation, we define a wave function
for CMC hierarchy. This leads to a pair of additional non-local formal Killing
fields and the associated spectral (Virasoro) Killing field.


title: The acquaintance time of (percolated) random geometric graphs

abstract:
  In this paper, we study the acquaintance time $\AC(G)$ defined for a
connected graph $G$. We focus on $\G(n,r,p)$, a random subgraph of a random
geometric graph in which $n$ vertices are chosen uniformly at random and
independently from $[0,1]^2$, and two vertices are adjacent with probability
$p$ if the Euclidean distance between them is at most $r$. We present
asymptotic results for the acquaintance time of $\G(n,r,p)$ for a wide range of
$p=p(n)$ and $r=r(n)$. In particular, we show that with high probability
$\AC(G) = \Theta(r^{-2})$ for $G \in \G(n,r,1)$, the "ordinary" random
geometric graph, provided that $\pi n r^2 - \ln n \to \infty$ (that is, above
the connectivity threshold). For the percolated random geometric graph $G \in
\G(n,r,p)$, we show that with high probability $\AC(G) = \Theta(r^{-2} p^{-1}
\ln n)$, provided that $p n r^2 \geq n^{1/2+\eps}$ and $p < 1-\eps$ for some
$\eps>0$.


abstract:
  In this paper, we consider Barnes' multiple Bernoulli and poly-Bernoulli
mixed-type polynomials. From the properties of Sheffer sequences of these
polynomials arising from umbrral calculus, we derive new and interesting
identities.


title: Multi-Agent Orbit Design For Perception Enhancement Purpose

abstract:
  This paper develops a robust optimization based method to design orbits on
which the sensory perception of the desired physical quantities are maximized.
It also demonstrates how to incorporate various constraints imposed by many
spacecraft missions such as collision avoidance, co-orbital configuration,
altitude and frozen orbit constraints along with Sun-Synchronous orbit. The
paper specifically investigates designing orbits for constrained visual sensor
planning applications as the case study. For this purpose, the key elements to
form an image in such vision systems are considered and effective factors are
taken into account to define a metric for perception quality. The simulation
results confirm the effectiveness of the proposed method for several scenarios
on low and medium Earth orbits as well as a challenging Space-Based Space
Surveillance program application.


title:
Next-to-Next-to-Leading Order QCD Corrections in Models of TeV-Scale
  Gravity

abstract:
  We compute the next-to-next-to-leading order QCD corrections to the graviton
production in models of TeV-scale gravity, within the soft-virtual
approximation.
  For the Arkani-Hamed, Dimopoulos and Dvali (ADD) model we evaluate the
contribution to the Drell-Yan cross section, and we present distributions for
the di-lepton invariant mass at the LHC with a center-of-mass energy
$\sqrt{s_H}=14\text{TeV}$. We find a large $K$ factor ($K\simeq 1.8$) for large
values of invariant mass, which is the region where the ADD graviton
contribution dominates the cross section. The increase in the cross section
with respect to the previous order result is larger than $10\%$ in the same
invariant mass region. We also observe a substantial reduction in the scale
uncertainty.
  For the Randall-Sundrum (RS) model we computed the total single graviton
production cross section at the LHC. We find an increase between $10\%$ and
$13\%$ with respect to the next-to-leading order prediction, depending on the
model parameters. We provide an analytic expression for the NNLO $K$ factor as
a function of the lightest RS graviton mass.


title:
Integrability properties of the dispersionless Kadomtsev-Petviashvili
  hierarchy

abstract:
  In the paper we investigate integrability characteristics for the
dispersionless Kadomtsev-Petviashvili hierarchy. These characteristics include
symmetries, Hamiltonian structures and conserved quantities. We give a Lax
triad to construct a master symmetry and a hierarchy of non-isospectral
dispersionless Kadomtsev-Petviashvili flows. These non-isospectral flows,
together with the known isospectral dispersionless Kadomtsev-Petviashvili
flows, form a Lie algebra, which is used to derive two sets of symmetries for
the isospectral dispersionless Kadomtsev-Petviashvili hierarchy. By means of
the master symmetry, symmetries, Noether operator and conserved covariants,
Hamiltonian structures are constructed for both isospectral and non-isospectral
dispersionless Kadomtsev-Petviashvili hierarchies. Finally, two sets of
conserved quantities and their Lie algebra are derived for the isospectral
dispersionless Kadomtsev-Petviashvili hierarchy.


title:
Extracting electric dipole breakup cross section of one-neutron halo
  nuclei from breakup observables

abstract:
  How to extract an electric dipole (E1) breakup cross section \sigma(E1) from
one- neutron removal cross sections measured by using 12C and 208Pb targets,
\sigma_(-1n)^C and \sigma_(-1n)^Pb, respectively, is discussed. It is shown
that within about 5% error, \sigma(E1) can be obtained by subtracting \Gamma
\sigma_(-1n)^C from \sigma_(- 1n)^Pb, as assumed in preceding studies. However,
for the reaction of weakly-bound projectiles, the scaling factor \Gamma is
found to be two times as large as that usually adopted. As a result, we obtain
13-20% smaller \sigma(E1) of 31Ne at 250 MeV/nucleon than extracted in a
previous analysis of experimental data. By compiling the values of \Gamma
obtained for several projectiles, \Gamma=(2.30 +/- 0.41)\exp(- S_n)+(2.43 +/-
0.21) is obtained, where S_n is the neutron separation energy. The target mass
number dependence of the nuclear parts of the one-neutron removal cross section
and the elastic breakup cross section is also investigated.


title:
Rotating analogue black holes: Quasinormal modes and tails,
  superresonance, and sonic bombs and plants in the draining bathtub acoustic
  hole

abstract:
  The analogy between sound wave propagation and light waves led to the study
of acoustic holes, the acoustic analogues of black holes. Many black hole
features have their counterparts in acoustic holes. The Kerr metric, the
rotating metric for black holes in general relativity, has as analogue the
draining bathtub metric, a metric for a rotating acoustic hole. Here we report
on the progress that has been made in the understanding of features, such as
quasinormal modes and tails, superresonance, and instabilities when the hole is
surrounded by a reflected mirror, in the draining bathtub metric. Given then
the right settings one can build up from these instabilities an apparatus that
stores energy in the form of amplified sound waves. This can be put to wicked
purposes as in a bomb, or to good profit as in a sonic plant.

categories: gr-qc astro-ph.HE cond-mat.other hep-th math-ph math.MP


title: On the Divisibility of Trinomials by Maximum Weight Polynomials over F2

abstract:
  Divisibility of trinomials by given polynomials over finite fields has been
studied and used to construct orthogonal arrays in recent literature. Dewar et
al.\ (Des.\ Codes Cryptogr.\ 45:1-17, 2007) studied the division of trinomials
by a given pentanomial over $\F_2$ to obtain the orthogonal arrays of strength
at least 3, and finalized their paper with some open questions. One of these
questions is concerned with generalizations to the polynomials with more than
five terms. In this paper, we consider the divisibility of trinomials by a
given maximum weight polynomial over $\F_2$ and apply the result to the
construction of the orthogonal arrays of strength at least 3.


title: Generation of multi-photon entanglement

abstract:
  We propose a new scheme to generate the multi-photon entanglement via two
steps, that is, first to utilize the superconductor to create the
multi-quantum-dot entanglement, and then to use the input photon to transfer it
into the multi-photon entanglement. Moreover, the maximum probability for the
swap of photon and quantum-dot qubits is close to unit for a single input
Gaussian photon. More importantly, by mapping the multi-quantum-dot state into
the coherent states of oscillators, such as cavity modes, the multi-quantum-dot
entanglement in our scheme can be protected from the decoherence induced by the
noise. Thus, it is possible to generate more than eight spatially separated
entangled photons in the realistic experimental conditions.


title:
Sub-Classifier Construction for Error Correcting Output Code Using
  Minimum Weight Perfect Matching

abstract:
  Multi-class classification is mandatory for real world problems and one of
promising techniques for multi-class classification is Error Correcting Output
Code. We propose a method for constructing the Error Correcting Output Code to
obtain the suitable combination of positive and negative classes encoded to
represent binary classifiers. The minimum weight perfect matching algorithm is
applied to find the optimal pairs of subset of classes by using the
generalization performance as a weighting criterion. Based on our method, each
subset of classes with positive and negative labels is appropriately combined
for learning the binary classifiers. Experimental results show that our
technique gives significantly higher performance compared to traditional
methods including the dense random code and the sparse random code both in
terms of accuracy and classification times. Moreover, our method requires
significantly smaller number of binary classifiers while maintaining accuracy
compared to the One-Versus-One.


title: Compatibility of t-structures for quantum symplectic resolutions

abstract:
  Let W be a smooth complex quasiprojective variety with the action of a
connected reductive group G. Adapting the stratification approach of Teleman to
a microlocal context, we prove a vanishing theorem for the functor of
G-invariant sections---i.e., of quantum Hamiltonian reduction---for
G-equivariant twisted D-modules on W. As a consequence, when W is affine we
establish an effective combinatorial criterion for exactness of the global
sections functors of microlocalization theory. When combined with our earlier
derived equivalence results, this gives precise criteria for "microlocalization
of representation categories."


title:
Dependence of the Length of Solar Filament Threads on the Magnetic
  Configuration

abstract:
  High-resolution H$\alpha$ observations indicate that filaments consist of an
assembly of thin threads. In quiescent filaments, the threads are generally
short, whereas in active region filaments, the threads are generally long. In
order to explain these observational features, we performed one-dimensional
radiative hydrodynamic simulations of filament formation along a dipped
magnetic flux tube in the framework of the chromospheric evaporation-coronal
condensation model. The geometry of a dipped magnetic flux tube is
characterized by three parameters, i.e., the depth ($D$), the half-width ($w$),
and the altitude ($h$) of the magnetic dip. The parameter survey in the
numerical simulations shows that allowing the filament thread to grow in 5
days, the maximum length ($L_{th}$) of the filament thread increases linearly
with $w$, and decreases linearly with $D$ and $h$. The dependence is fitted
into a linear function $L_{th}=0.84w-0.88D-2.78h+17.31$ Mm. Such a relation can
qualitatively explain why quiescent filaments have shorter threads and active
region filaments have longer threads.


title: Hong-Ou-Mandel atom interferometry in tunnel-coupled optical tweezers

abstract:
  The quantum statistics of atoms is typically observed in the behavior of an
ensemble via macroscopic observables. However, quantum statistics modifies the
behavior of even two particles, inducing remarkable consequences that are at
the heart of quantum science. Here we demonstrate near-complete control over
all the internal and external degrees of freedom of two laser-cooled 87Rb atoms
trapped in two optical tweezers. This full controllability allows us to
implement a massive-particle analog of a Hong-Ou-Mandel interferometer where
atom tunneling plays the role of a photon beamsplitter. We use the
interferometer to probe the effect of quantum statistics on the two-atom
dynamics under tunable initial conditions, chosen to adjust the degree of
atomic indistinguishability. Our work thereby establishes laser-cooled atoms in
optical tweezers as a new route to bottom-up engineering of scalable,
low-entropy quantum systems.


title: Discussion: Foundations of Statistical Inference, Revisited

abstract:
  This is an invited contribution to the discussion on Professor Deborah Mayo's
paper, "On the Birnbaum argument for the strong likelihood principle," to
appear in Statistical Science. Mayo clearly demonstrates that statistical
methods violating the likelihood principle need not violate either the
sufficiency or conditionality principle, thus refuting Birnbaum's claim. With
the constraints of Birnbaum's theorem lifted, we revisit the foundations of
statistical inference, focusing on some new foundational principles, the
inferential model framework, and connections with sufficiency and conditioning.
[arXiv:1302.7021]


title: Generalized Ablowitz-Ladik hierarchy in topological string theory

abstract:
  This paper addresses the issue of integrable structures in topological string
theory on generalized conifolds. Open string amplitudes of this theory can be
expressed as the matrix elements of an operator on the Fock space of 2D charged
free fermion fields. The generating function of these amplitudes with respect
to the product of two independent Schur functions becomes a tau function of the
2D Toda hierarchy. The associated Lax operators turn out to have a particular
factorized form. This factorized form of the Lax operators characterizes a
generalization of the Ablowitz-Ladik hierarchy embedded in the 2D Toda
hierarchy. The generalized Ablowitz-Ladik hierarchy is thus identified as a
fundamental integrable structure of topological string theory on the
generalized conifolds.


title:
The first elements of the quotient of a numerical semigroup by a
  positive integer

abstract:
  Given three pairwise coprime positive integers $a_1,a_2,a_3 \in \mathbb{Z}^+$
we show the existence of a relation between the sets of the first elements of
the three quotients $\frac{\langle a_i,a_j \rangle}{a_k}$ that can be made for
every $\{i.j,k\}=\{1,2,3\}$. Then we use this result to give an improved
version of Johnson's semi-explicit formula for the Frobenius number
$g(a_1,a_2,a_3)$ without restriction on the choice of $a_1,a_2,a_3$ and to give
an explicit formula for a particular class of numerical semigroups.


title:
Valid Post-Selection Inference in High-Dimensional Approximately Sparse
  Quantile Regression Models

abstract:
  This work proposes new inference methods for a regression coefficient of
interest in a (heterogeneous) quantile regression model. We consider a
high-dimensional model where the number of regressors potentially exceeds the
sample size but a subset of them suffice to construct a reasonable
approximation to the conditional quantile function. The proposed methods are
(explicitly or implicitly) based on orthogonal score functions that protect
against moderate model selection mistakes, which are often inevitable in the
approximately sparse model considered in the present paper. We establish the
uniform validity of the proposed confidence regions for the quantile regression
coefficient. Importantly, these methods directly apply to more than one
variable and a continuum of quantile indices. In addition, the performance of
the proposed methods is illustrated through Monte-Carlo experiments and an
empirical example, dealing with risk factors in childhood malnutrition.


title: Analysis of Geometric Disaster Evaluation Model for Physical Networks

abstract:
  A geometric model of a physical network affected by a disaster is proposed
and analyzed using integral geometry (geometric probability). This analysis
provides a theoretical method of evaluating performance metrics, such as the
probability of maintaining connectivity, and a network design rule that can
make the network robust against disasters.
  The proposed model is of when the disaster area is much larger than the part
of the network in which we are interested. Performance metrics, such as the
probability of maintaining connectivity, are explicitly given by linear
functions of the perimeter length of convex hulls determined by physical
routes. The derived network design rule includes the following. (1) Reducing
the convex hull of the physical route reduces the expected number of nodes that
cannot connect to the destination. (2) The probability of maintaining the
connectivity of two nodes on a loop cannot be changed by changing the physical
route of that loop. (3) The effect of introducing a loop is identical to that
of a single physical route implemented by the straight-line route.


title: Dualizable tensor categories

abstract:
  We investigate the relationship between the algebra of tensor categories and
the topology of framed 3-manifolds. On the one hand, tensor categories with
certain algebraic properties determine topological invariants. We prove that
fusion categories of nonzero global dimension are 3-dualizable, and therefore
provide 3-dimensional 3-framed local field theories. We also show that all
finite tensor categories are 2-dualizable, and yield categorified 2-dimensional
3-framed local field theories. On the other hand, topological properties of
3-framed manifolds determine algebraic equations among functors of tensor
categories. We show that the 1-dimensional loop bordism, which exhibits a
single full rotation, acts as the double dual autofunctor of a tensor category.
We prove that the 2-dimensional belt-trick bordism, which unravels a double
rotation, operates on any finite tensor category, and therefore supplies a
trivialization of the quadruple dual. This approach produces a quadruple-dual
theorem for suitably dualizable objects in any symmetric monoidal 3-category.
There is furthermore a correspondence between algebraic structures on tensor
categories and homotopy fixed point structures, which in turn provide
structured field theories; we describe the expected connection between pivotal
tensor categories and combed fixed point structures, and between spherical
tensor categories and oriented fixed point structures.


title: A rigidity theorem for holomorphic disks in Teichm\"uller space

abstract:
  In this paper, we discuss a rigidity property for holomorphic disks in
Teichm\"uller space. In fact, we give a refinement of Tanigawa's rigidity
theorem. We will also treat the rigidity property of holomorphic disks for
complex manifolds. We observe the rigidity property is valid for bounded
strictly pseudoconvex domains with $C^{2}$-boundaries, but the rigidity
property does not hold for product manifolds.


title: Generalized nonlocal optical response in nanoplasmonics

abstract:
  Metallic nanostructures exhibit a multitude of optical resonances associated
with localized surface plasmon excitations. Recent observations of plasmonic
phenomena at the sub-nanometer to atomic scale have stimulated the development
of various sophisticated theoretical approaches for their description. Here
instead we present a comparatively simple semiclassical generalized nonlocal
optical response (GNOR) theory that unifies quantum-pressure convection effects
and induced-charge diffusion kinetics, with a concomitant complex-valued GNOR
parameter. Our theory explains surprisingly well both the frequency shifts and
size-dependent damping in individual metallic nanoparticles (MNPs) as well as
the observed broadening of the cross-over regime from bonding-dipole plasmons
to charge-transfer plasmons in MNP dimers, thus unraveling a classical
broadening mechanism that even dominates the widely anticipated
short-circuiting by quantum tunneling. We anticipate that the GNOR theory can
be successfully applied in plasmonics to a wide class of conducting media,
including doped semiconductors and low-dimensional materials such as graphene.


title: Special values of Kloosterman sums and binomial bent functions

abstract:
  Let $p\ge 7$, $q=p^m$. $K_q(a)=\sum_{x\in \mathbb{F}_{p^m}}
\zeta^{\mathrm{Tr}^m_1(x^{p^m-2}+ax)}$ is the Kloosterman sum of $a$ on
$\mathbb{F}_{p^m}$, where $\zeta=e^{\frac{2\pi\sqrt{-1}}{p}}$. The value
$1-\frac{2}{\zeta+\zeta^{-1}}$ of $K_q(a)$ and its conjugate have close
relationship with a class of binomial function with Dillon exponent. This paper
first presents some necessary conditions for $a$ such that
$K_q(a)=1-\frac{2}{\zeta+\zeta^{-1}}$. Further, we prove that if $p=11$, for
any $a$, $K_q(a)\neq 1-\frac{2}{\zeta+\zeta^{-1}}$. And for $p\ge 13$, if $a\in
\mathbb{F}_{p^s}$ and $s=\mathrm{gcd}(2,m)$, $K_q(a)\neq
1-\frac{2}{\zeta+\zeta^{-1}}$. In application, these results explains some
class of binomial regular bent functions does not exits.


title: Enumeration of finite inverse semigroups

abstract:
  We give an efficient algorithm for the enumeration up to isomorphism of the
inverse semigroups of order n, and we count the number S(n) of inverse
semigroups of order n<=15. This improves considerably on the previous
highest-known value S(9). We also give a related algorithm for the enumeration
up to isomorphism of the finite inverse semigroups S with a given underlying
semilattice of idempotents E, a given restriction of Green's D-relation on S to
E, and a given list of maximal subgroups of S associated to the elements of E.


title:
Low lying excited states of $^{24}$O investigated by self-consistent
  microscopic description of proton inelastic scattering

abstract:
  The proton inelastic scattering of $^{24}$O($p,p'$) at 62 MeV/nucleon is
described by a self-consistent microscopic calculation with the continuum
particle-vibration coupling (cPVC) method. The SLy5, SkM*, and SGII parameters
are adopted as an effective nucleon-nucleon interaction. For all the
parameters, the cPVC calculation reproduces very well the first peak at 4.65
MeV in the $^{24}$O excitation energy spectrum as well as its angular
distribution. The role of the cPVC self-energy strongly depends on the
effective interactions. The higher-lying strength around 7.3 MeV is suggested
to be a superposition of the $3^-$ and $4^+$ states by the results with SLy5
and SGII, whereas the SkM* calculation indicates it is a pure $3^-$ state. This
difference gives a rather strong interaction dependence of the angular
distribution corresponding to the higher-lying strength.


title:
Extension of the HAL QCD approach to inelastic and multi-particle
  scatterings in lattice QCD

abstract:
  We extend the HAL QCD approach, with which potentials between two hadrons can
be obtained in QCD at energy below inelastic thresholds, to inelastic and
multi-particle scatterings. We first derive asymptotic behaviors of the
Nambu-Bethe-Salpeter (NBS) wave function at large space separations for systems
with more than 2 particles, in terms of the one-shell $T$-matrix consrainted by
the unitarity of quantum field theories. We show that its asymptotic behavior
contains phase shifts and mixing angles of $n$ particle scatterings. This
property is one of the essential ingredients of the HAL QCD scheme to define
"potential" from the NBS wave function in quantum field theories such as QCD.
We next construct energy independent but non-local potentials above inelastic
thresholds, in terms of these NBS wave functions. We demonstrate an existence
of energy-independent coupled channel potentials with a non-relativistic
approximation, where momenta of all particles are small compared with their own
masses. Combining these two results, we can employ the HAL QCD approach also to
investigate inelastic and multi-particle scatterings.


title:
Tuning many-body interactions in graphene: The effects of doping on
  excitons and carrier lifetimes

abstract:
  The optical properties of graphene are strongly affected by electron-electron
(e-e) and electron-hole (e-h) interactions. Here we tune these many-body
interactions through varying the density of free charge carriers. Measurements
from the infrared to the ultraviolet reveal significant changes in the optical
conductivity of graphene for both electron and hole doping. The shift,
broadening, and modification in shape of the saddle-point exciton resonance
reflect strong screening of the many-body interactions by the carriers, as well
as changes in quasi-particle lifetimes. Ab initio calculations by the GW
Bethe-Salpeter equation (GW-BSE), which take into account modification of both
the repulsive e-e and the attractive e-h interactions, provide excellent
agreement with experiment. Understanding the optical properties and high-energy
carrier dynamics of graphene over a wide range of doping is crucial for both
fundamental graphene physics and for emerging applications of graphene in
photonics.


title: Strong polygamy of quantum correlations in multi-party quantum systems

abstract:
  We propose a new type of polygamy inequality for multi-party quantum
entanglement. We first consider the possible amount of bipartite entanglement
distributed between a fixed party and any subset of the rest parties in a
multi-party quantum system. By using the summation of these distributed
entanglements, we provide an upper bound of the distributed entanglement
between a party and the rest in multi-party quantum systems. We then show that
this upper bound also plays as a lower bound of the usual polygamy inequality,
therefore the strong polygamy of multi-party quantum entanglement. For the case
of multi-party pure states, we further show that the strong polygamy of
entanglement implies the strong polygamy of quantum discord.


title: The Ramond Sector of Heterotic String Field Theory

abstract:
  We attempt to construct the full equations of motion for the Neveu-Schwarz
and the Ramond sectors of the heterotic string field theory. Although they are
non-polynomial also in the Ramond string field $\Psi$, we can construct them
order by order in $\Psi$. Their explicit forms with the gauge transformations
are given up to the next-to-next-to-leading order in $\Psi$. We also determine
a subset of the terms to all orders. By introducing an auxiliary Ramond string
field $\Xi$, we construct a covariant action supplemented with a constraint,
which should be imposed on the equations of motion. We propose the Feynman
rules and show how they reproduce well-known physical four-point amplitudes
with external fermions.


title: Opportunistic Downlink Interference Alignment

abstract:
  In this paper, we propose an opportunistic downlink interference alignment
(ODIA) for interference-limited cellular downlink, which intelligently combines
user scheduling and downlink IA techniques. The proposed ODIA not only
efficiently reduces the effect of inter-cell interference from other-cell base
stations (BSs) but also eliminates intra-cell interference among spatial
streams in the same cell. We show that the minimum number of users required to
achieve a target degrees-of-freedom (DoF) can be fundamentally reduced, i.e.,
the fundamental user scaling law can be improved by using the ODIA, compared
with the existing downlink IA schemes. In addition, we adopt a limited feedback
strategy in the ODIA framework, and then analyze the required number of
feedback bits leading to the same performance as that of the ODIA assuming
perfect feedback. We also modify the original ODIA in order to further improve
sum-rate, which achieves the optimal multiuser diversity gain, i.e., $\log \log
N$, per spatial stream even in the presence of downlink inter-cell
interference, where $N$ denotes the number of users in a cell. Simulation
results show that the ODIA significantly outperforms existing interference
management techniques in terms of sum-rate in realistic cellular environments.
Note that the ODIA operates in a distributed and decoupled manner, while
requiring no information exchange among BSs and no iterative beamformer
optimization between BSs and users, thus leading to an easier implementation.


title: Stabilization of charged and neutral colloids in salty mixtures

abstract:
  We present a mechanism for the stabilization of colloids in liquid mixtures
without use of surfactants or polymers. When a suitable salt is added to a
solvent mixture, the coupling of the colloid's surface chemistry and the
preferential solvation of ions leads to a repulsive force between colloids that
can overcome van der Waals attraction. This repulsive force is substantial in a
large range of temperatures, mixture composition and salt concentrations. The
increased repulsion due to addition of salt occurs even for charged colloids.
This mechanism may be useful in experimental situations where steric
stabilization with surfactants or polymers is undesired.


title: Some remarks on diophantine equations and diophantine approximation

abstract:
  We first recall the connection, going back to A. Thue, between rational
approximation to algebraic numbers and integer solutions of some Diophantine
equations. Next we recall the equivalence between several finiteness results on
various Diophantine equations. We also give many equivalent statements of
Mahler's generalization of the fundamental theorem of Thue. In particular, we
show that the theorem of Thue--Mahler for degree $3$ implies the theorem of
Thue--Mahler for arbitrary degree $\ge3$, and we relate it with a theorem of
Siegel on the rational integral points of the projective line $\P^1(K)$ minus
$3$ points. Finally we extend our study to higher dimensional spaces in
connection with Schmidt's Subspace Theorem.


title:
End-to-End Delay Modeling for Mobile Ad Hoc Networks: A
  Quasi-Birth-and-Death Approach

abstract:
  Understanding the fundamental end-to-end delay performance in mobile ad hoc
networks (MANETs) is of great importance for supporting Quality of Service
(QoS) guaranteed applications in such networks. While upper bounds and
approximations for end-to-end delay in MANETs have been developed in
literature, which usually introduce significant errors in delay analysis, the
modeling of exact end-to-end delay in MANETs remains a technical challenge.
This is partially due to the highly dynamical behaviors of MANETs, but also due
to the lack of an efficient theoretical framework to capture such dynamics.
This paper demonstrates the potential application of the powerful
Quasi-Birth-and-Death (QBD) theory in tackling the challenging issue of exact
end-to-end delay modeling in MANETs. We first apply the QBD theory to develop
an efficient theoretical framework for capturing the complex dynamics in
MANETs. We then show that with the help of this framework, closed form models
can be derived for the analysis of exact end-to-end delay and also per node
throughput capacity in MANETs. Simulation and numerical results are further
provided to illustrate the efficiency of these QBD theory-based models as well
as our theoretical findings.


title: Familles d'equations de Thue-Mahler n'ayant que des solutions triviales

abstract:
  Let $K$ be a number field, let $S$ be a finite set of places of $K$
containing the archimedean places and let $\mu$, $\alpha_1,\alpha_2,\alpha_3$
be non--zero elements in $K$. Denote by $\OS$ the ring of $S$--integers in $K$
and by $\OS^\times$ the group of $S$--units. Then the set of equivalence
classes (namely, up to multiplication by $S$--units) of the solutions
$(x,y,z,\varepsilon_1,
\varepsilon_2,\varepsilon_3,\varepsilon)\in\OS^3\times(\OS^\times)^4$ of the
diophantine equation $$ (X-\alpha_1 E_1 Y) (X-\alpha_2E_2 Y) (X-\alpha_3E_3
Y)Z=\mu E, $$ satisfying
$\Card\{\alpha_1\varepsilon_1,\alpha_2\varepsilon_2,\alpha_3\varepsilon_3\}=
3$, is finite. With the help of this last result, we exhibit new families of
Thue-Mahler equations having only trivial solutions. Furthermore, we produce an
effective upper bound for the number of these solutions. The proofs of this
paper rest heavily on Schmidt's subspace theorem.


title:
Approximation of an algebraic number by products of rational numbers and
  units

abstract:
  We relate a previous result of ours on families of Diophantine equations
having only trivial solutions with a result on the approximation of an
algebraic number by products of rational numbers and units. We compare this
approximation with a Liouville type estimate, and with an estimate arising from
a lower bound for a linear combination of logarithms.


title: Families of cubic Thue equations with effective bounds for the solutions

abstract:
  To each non totally real cubic extension $K$ of $\Q$ and to each generator
$\alpha$ of the cubic field $K$, we attach a family of cubic Thue equations,
indexed by the units of $K$, and we prove that this family of cubic Thue
equations has only a finite number of integer solutions, by giving an effective
upper bound for these solutions.


title: Solving effectively some families of Thue Diophantine equations

abstract:
  Let $\alpha$ be an algebraic number of degree $d\ge 3$ and let $K$ be the
algebraic number field $\Q(\alpha)$. When $\varepsilon$ is a unit of $K$ such
that $\Q(\alpha\varepsilon)=K$, we consider the irreducible polynomial
$f_\varepsilon(X) \in \Z[X]$ such that $f_\varepsilon(\alpha\varepsilon)=0$.
Let $F_\varepsilon(X,Y)$ be the irrreducible binary form of degree $d$
associated to $f_{\varepsilon}(X) $ under the condition
$F_{\varepsilon}(X,1)=f_{\varepsilon}(X)$. For each positive integer $m$, we
want to exhibit an effective upper bound for the solutions $(x,y,\varepsilon)$
of the diophantine inequation $|F_\varepsilon(x,y)|\le m$. We achieve this goal
by restricting ourselves to a subset of units $\varepsilon$ which we prove to
be sufficiently large as soon as the degree of $K$ is $\geq 4$.


title: Gaugeon Formalism for Perturbative Quantum Gravity

abstract:
  In this paper we investigate the Yokoyama gaugeon formalism for perturbative
quantum gravity in a general curved spacetime. Within the gaugeon formalism, we
extend the configuration space by introducing vector gaugeon fields describing
a quantum gauge degree of freedom. Such an extended theory of perturbative
gravity admits quantum gauge transformations leading to a natural shift in the
gauge parameter. Further we impose the Gupta-Bleuler type subsidiary condition
to remove the unphysical gaugeon modes. To replace the Gupta-Bleuler type
condition by more acceptable Kugo-Ojima type subsidiary condition we analyze
the BRST symmetric gaugeon formalism. Further, the physical Hilbert space is
constructed for the perturbative quantum gravity which remains invariant under
both the BRST symmetry and the quantum gauge transformations.


title: LHC Signatures for Cascade Seesaw Mechanism

abstract:
  Cascade seesaw mechanism generates neutrino mass at higher dimension (5+4n)
operators through tree level diagram which bring the seesaw scale down to TeV
and provide collider signatures within LHC reach. In particular, both Type-II
scalar and Type-III heavy fermion seesaw signatures exist in such a scenario.
Doubly charged scalar decays into diboson is dominant. We perform a thorough
study on the LHC signals and the Standard Model background. We draw the
conclusion that multilepton final state from interplay of doubly charged scalar
and heavy fermion can provide distinguishable signatures from conventional
seesaw mechanisms.


title:
High Precision Inertial Rotation Rate and Magnetic Field Estimate via
  Extended Kalman Filter

abstract:
  Recent developments of technology have enabled atomic spins as the most
sensitive inertial and magnetic sensors. Atomic spin gyroscope (magnetometer)
essentially outputs the estimate of the inertial rotation rate (magnetic filed)
to be measured. Conventional methods for estimating a static or quasi-static
inertial rotation rate (magnetic field) employ the dependency relationship
between the steady state signal and the input rotation rate (magnetic field).
In this paper we present an extended Kalman filter (EKF) method for the atomic
spin gyroscope and magnetometer. It is demonstrated that the EKF method is much
more accurate and faster than the conventional steady state estimation method.


title:
A Non-Perturbative Construction of the Fermionic Projector on Globally
  Hyperbolic Manifolds II -- Space-Times of Infinite Lifetime

abstract:
  The previous functional analytic construction of the fermionic projector on
globally hyperbolic Lorentzian manifolds is extended to space-times of infinite
lifetime. The construction is based on an analysis of families of solutions of
the Dirac equation with a varying mass parameter. It makes use of the so-called
mass oscillation property which implies that integrating over the mass
parameter generates decay of the Dirac wave functions at infinity. We obtain a
canonical decomposition of the solution space of the massive Dirac equation
into two subspaces, independent of observers or the choice of coordinates. The
constructions are illustrated in the examples of ultrastatic space-times and de
Sitter space-time.


title:
Stability analysis for a class of linear systems governed by difference
  equations

abstract:
  Linear systems governed by continuous-time difference equations cover a wide
class of linear systems. From the Lyapunov-Krasovskii approach, we investigate
stability for such a class of systems. Sufficient conditions, and in some
particular cases, necessary and sufficient conditions for exponential stability
are established, for multivariable systems with commensurate or rationally
independent delays. A discussion on robust stability is proposed, for
parametric uncertainties and time-varying delays.


title:
Identification of Separation Wavenumber between Weak and Strong
  Turbulence Spectra for Vibrating Plate

abstract:
  A weakly nonlinear spectrum and a strongly nonlinear spectrum coexist in a
statistically steady state of elastic wave turbulence. The analytical
representation of the nonlinear frequency is obtained by evaluating the
extended self-nonlinear interactions. The {\em critical\/} wavenumbers at which
the nonlinear frequencies are comparable with the linear frequencies agree with
the {\em separation\/} wavenumbers between the weak and strong turbulence
spectra. We also confirm the validity of our analytical representation of the
separation wavenumbers through comparison with the results of direct numerical
simulations by changing the material parameters of a vibrating plate.


title: LHC Searches for The Heavy Higgs Boson via Two B Jets plus Diphoton

abstract:
  Extra scalar fields are common in beyond Standard Model (SM) new physics, and
they may mix with the 125 GeV SM-like Higgs boson discovered at the LHC. This
fact suggests possible discovery channels for these new scalar fields with
their decay modes involving the 125 GeV Higgs boson. In this work, we explore
the LHC search potential of the heavy CP-even Higgs boson H in the
two-Higgs-doublet model. We focus on the channel of H decaying to a pair of
light CP-even Higgs bosons h, with two h's decaying to two b jets and diphoton
sequentially. This channel is particularly involved when the relevant cubic
coupling is enhanced. We find such enhancement to be possible when taking a
large CP-odd Higgs mass input for the two-Higgs-doublet model spectrum.
Analogous to the SM Higgs self-coupling measurement, the two b jets plus
diphoton final states are of particular interest due to the manageable SM
background. After performing a cut-based analysis of both signal and background
processes, we demonstrate the LHC search sensitivities for the heavy CP-even
Higgs boson in a broad mass range via the two b jets plus diphoton final
states.


title:
Strictly ergodic models and the convergence of non-conventional
  pointwise ergodic averages

abstract:
  The well-known Jewett-Krieger's Theorem states that each ergodic system has a
strictly ergodic model. Strengthening the model by requiring that it is
strictly ergodic under some group actions, and building the connection of the
new model with the convergence of pointwise non-conventional ergodic averages
we prove that for an ergodic system $(X,\X,\mu, T)$, $d\in\N$, $f_1, \ldots,
f_d \in L^{\infty}(\mu)$, %and any tempered F{\rm ${\o}$}lner sequence $F_n$ of
$\Z^2$, the averages \begin{equation*}
  \frac{1}{N^2} \sum_{(n,m)\in F_N} f_1(T^nx)f_2(T^{n+m}x)\ldots
f_d(T^{n+(d-1)m}x) \end{equation*} converge $\mu$ a.e. We remark that the same
method can be used to show the pointwise convergence of ergodic averages along
cubes which was firstly proved by Assani and then extended to a general case by
Chu and Franzikinakis.


title:
Copula Correlation: An Equitable Dependence Measure and Extension of
  Pearson's Correlation

abstract:
  In Science, Reshef et al. (2011) proposed the concept of equitability for
measures of dependence between two random variables. To this end, they proposed
a novel measure, the maximal information coefficient (MIC). Recently a PNAS
paper (Kinney and Atwal, 2014) gave a mathematical definition for equitability.
They proved that MIC in fact is not equitable, while a fundamental information
theoretic measure, the mutual information (MI), is self-equitable. In this
paper, we show that MI also does not correctly reflect the proportion of
deterministic signals hidden in noisy data. We propose a new equitability
definition based on this scenario. The copula correlation (Ccor), based on the
L1-distance of copula density, is shown to be equitable under both definitions.
We also prove theoretically that Ccor is much easier to estimate than MI.
Numerical studies illustrate the properties of the measures.


title: Motivic homology of semiabelian varieties

abstract:
  We generalize some classical results on Chow group of an abelian variety to
semiabelian varieties and to motivic (co)homology, using a result of
Ancona--Enright-Ward--Huber on a decomposition of the motive of a semiabelian
variety in the Voevodsky's category.


title: Nuclear vorticity in isoscalar E1 modes: Skyrme-RPA analysis

abstract:
  Two basic concepts of nuclear vorticity, hydrodynamical (HD) and
Rawenthall-Wambach (RW), are critically inspected. As a test case, we consider
the interplay of irrotational and vortical motion in isoscalar electric dipole
E1(T=0) modes in $^{208}$Pb, namely the toroidal and compression modes. The
modes are described in a self-consistent random-phase-approximation (RPA) with
the Skyrme force SLy6. They are examined in terms of strength functions,
transition densities, current fields, and formfactors. It is shown that the RW
conception (suggesting the upper component of the nuclear current as the
vorticity indicator) is not robust. The HD vorticity is not easily applicable
either because the definition of a velocity field is too involved in nuclear
systems. Instead, the vorticity is better characterized by the toroidal
strength which closely corresponds to HD treatment and is approximately
decoupled from the continuity equation.


title:
Distributed and Parallel Algorithms for Set Cover Problems with Small
  Neighborhood Covers

abstract:
  In this paper, we study a class of set cover problems that satisfy a special
property which we call the {\em small neighborhood cover} property. This class
encompasses several well-studied problems including vertex cover, interval
cover, bag interval cover and tree cover. We design unified distributed and
parallel algorithms that can handle any set cover problem falling under the
above framework and yield constant factor approximations. These algorithms run
in polylogarithmic communication rounds in the distributed setting and are in
NC, in the parallel setting.


title: Silicon graphene Bragg gratings

abstract:
  We propose the use of interleaved graphene sections on top of a silicon
waveguide to implement tunable Bragg gratings. The filter central wavelength
and bandwidth can be controlled changing the chemical potential of the graphene
sections. Apodization techniques are also presented.


title: Combining persistent homology and invariance groups for shape comparison

abstract:
  In many applications concerning the comparison of data expressed by
$\mathbb{R}^m$-valued functions defined on a topological space $X$, the
invariance with respect to a given group $G$ of self-homeomorphisms of $X$ is
required. While persistent homology is quite efficient in the topological and
qualitative comparison of this kind of data when the invariance group $G$ is
the group $\mathrm{Homeo}(X)$ of all self-homeomorphisms of $X$, this theory is
not tailored to manage the case in which $G$ is a proper subgroup of
$\mathrm{Homeo}(X)$, and its invariance appears too general for several tasks.
This paper proposes a way to adapt persistent homology in order to get
invariance just with respect to a given group of self-homeomorphisms of $X$.
The main idea consists in a dual approach, based on considering the set of all
$G$-invariant non-expanding operators defined on the space of the admissible
filtering functions on $X$. Some theoretical results concerning this approach
are proven and two experiments are presented. An experiment illustrates the
application of the proposed technique to compare 1D-signals, when the
invariance is expressed by the group of affinities, the group of
orientation-preserving affinities, the group of isometries, the group of
translations and the identity group. Another experiment shows how our technique
can be used for image comparison.


title: Cooling a two-level emitter in photonic crystal environments

abstract:
  We investigate the resonant cooling phenomena of a driven two-level radiator
embedded in a photonic crystal structure. We find that cooling occurs even at
laser-atom-frequency resonance. This happens due to the atomic dressed-states
coupling with different strengths resulting in population redistribution and
cooling. Furthermore, for off-resonant driving the two-level particle can be in
either ground or excited bare-state, respectively. This may help in engineering
of novel amplified optical devices as well as highly coherent light sources.


title:
X-ray flares observed from six young stars located in the region of star
  clusters NGC 869 and IC 2602

abstract:
  We present an analysis of seven intense X-ray flares observed from six stars
(LAV 796, LAV 1174, SHM2002 3734, 2MASS 02191082+5707324, V553 Car, V557 Car)
for the first time. These stars are located in the region of young open star
clusters NGC 869 and IC 2602. These flares detected in the XMM-Newton data show
a rapid rise (10-40 minutes) and a slow decay (20-90 minutes). The X-ray
luminosities during the flares in the energy band 0.3-7.5 keV are in the range
of $10^{29.9}$ to $10^{31.7}$ erg s$^{-1}$. The strongest flare was observed
with the ratio $\sim 13$ for count rates at peak of the flare to the quiescent
intensity. The maximum temperature during the flares has been found to be
$\sim$100 MK. The semi loop lengths for the flaring loops are estimated to be
of the order of $\rm{10^{10}}$ cm. The physical parameters of the flaring
structure, the peak density, pressure, and minimum magnetic field required to
confine the plasma have been derived and found to be consistent with flares
from pre-main sequence stars in the Orion and the Taurus-Auriga-Perseus region.


title: The Garden Hose Complexity for the Equality Function

abstract:
  The garden hose complexity is a new communication complexity introduced by H.
Buhrman, S. Fehr, C. Schaffner and F. Speelman [BFSS13] to analyze
position-based cryptography protocols in the quantum setting. We focus on the
garden hose complexity of the equality function, and improve on the bounds of
O. Margalit and A. Matsliah[MM12] with the help of a new approach and of our
handmade simulated annealing based solver. We have also found beautiful
symmetries of the solutions that have lead us to develop the notion of garden
hose permutation groups. Then, exploiting this new concept, we get even
further, although several interesting open problems remain.


title: Quality Estimation of English-Hindi Outputs using Naive Bayes Classifier

abstract:
  In this paper we present an approach for estimating the quality of machine
translation system. There are various methods for estimating the quality of
output sentences, but in this paper we focus on Na\"ive Bayes classifier to
build model using features which are extracted from the input sentences. These
features are used for finding the likelihood of each of the sentences of the
training data which are then further used for determining the scores of the
test data. On the basis of these scores we determine the class labels of the
test data.


title: Flavours in global Klebanov-Witten background

abstract:
  We probe flavour branes in the Klebanov-Witten background in global
coordinates. We show that supersymmetric probes correspond to massless flavours
and analyse their spectrum of fluctuations. Our studies suggest that the mesons
are dissociated by the Casimir energy. The spectrum is equidistant, with a
ground state given by the conformal dimension of the operator dual to the
fluctuations. We show that the equidistant structure of the spectrum arises
from the addition of the angular momenta of the fundamental fields composing
the meson operators.


title: Entropy dimension of measure preserving systems

abstract:
  The notion of metric entropy dimension is introduced to measure the
complexity of entropy zero dynamical systems. For measure preserving systems,
we define entropy dimension via the dimension of entropy generating sequences.
This combinatorial approach provides us with a new insight to analyze the
entropy zero systems. We also define the dimension set of a system to
investigate the structure of the randomness of the factors of a system. The
notion of a uniform dimension in the class of entropy zero systems is
introduced as a generalization of a K-system in the case of positive entropy.
We investigate the joinings among entropy zero systems and prove the
disjointness property among entropy zero systems using the dimension sets.
Given a topological system, we compare topological entropy dimension with
metric entropy dimension.


title: The Multiscale Loop Vertex Expansion

abstract:
  The loop vertex expansion (LVE) is a constructive technique which uses only
canonical combinatorial tools and no space-time dependent lattices. It works
for quantum field theories without renormalization. Renormalization requires
scale analysis. In this paper we provide an enlarged formalism which we call
the multiscale loop vertex expansion (MLVE). We test it on what is probably the
simplest quantum field theory which requires some kind of renormalization,
namely a combinatorial model of the vector type with quartic interaction and a
propagator which mimicks the power counting of $\phi^4_2$. An ordinary LVE
would fail to treat even this simplest superrenormalizable model, but we show
how to perform the ultraviolet limit and prove its analyticity in the Borel
summability domain of the model with the MLVE.


title: BCFG Drinfeld-Sokolov Hierarchies and FJRW-Theory

abstract:
  According to the ADE Witten conjecture, which is proved by Fan, Jarvis and
Ruan, the total descendant potential of the FJRW invariants of an ADE
singularity is a tau function of the corresponding mirror ADE Drinfeld-Sokolov
hierarchy. In the present paper, we show that there is a finite group $\Gamma$
acting on a certain ADE singularity which induces an action on the
corresponding FJRW-theory, and the $\Gamma$-invariant sector also satisfies the
axioms of a cohomological field theory except the gluing loop axiom. On the
other hand, we show that there is also a $\Gamma$-action on the mirror
Drinfeld-Sokolov hierarchy, and the $\Gamma$-invariant flows yield the BCFG
Drinfeld-Sokolov hierarchy. We prove that the total descendant potential of the
$\Gamma$-invariant sector of a FJRW-theory is a tau function of the
corresponding BCFG Drinfeld-Sokolov hierarchy.


title:
Tunnelling of entangled Kondo singlet in two-reservoir nanocontact
  systems under bias

abstract:
  Tunnelling conductances observed for mesoscopic Kondo systems exhibit a
zero-bias peak and two coherent side peaks. The former peak is usually
understood as a Kondo effect and the latter side peak is recently clarified as
the effect of inter-reservoir coherence. However, fitting the experimental
$dI/dV$ line shapes, where $I$ and $V$ denote the current and bias voltage,
respectively, has not been performed theoretically. Here, we fit the entire
line shape range of the tunnelling conductance observed for a quantum dot,
quantum point contact, and magnetized atom adsorbed on an insulating layer
covering a metallic substrate by studying the tunnelling of entangled Kondo
singlet (EKS) formed in a two-reservoir mesoscopic Kondo system. We also
clarify the characteristic dynamics forming each coherent peak in terms of the
processes comprising spin exchange, singlet hopping, and singlet partner
changing. Tunnelling of entangled Kondo singlet can be applied to understanding
the tunnelling conductance observed for a sample with strong electron
correlation.


title:
Microscopic description of fission in Uranium isotopes with the Gogny
  energy density functional

abstract:
  The most recent parametrizations D1S, D1N and D1M of the Gogny energy density
functional are used to describe fission in the isotopes $^{232-280}$ U. Fission
paths, collective masses and zero point quantum corrections, obtained within
the constrained Hartree-Fock-Bogoliubov approximation, are used to compute the
systematics of the spontaneous fission half-lives $t_\mathrm{SF}$, the masses
and charges of the fission fragments as well as their intrinsic shapes. The
Gogny-D1M parametrization has been benchmarked against available experimental
data on inner and second barrier heights, excitation energies of the fission
isomers and half-lives in a selected set of Pu, Cm, Cf, Fm, No, Rf, Sg, Hs and
Fl nuclei. It is concluded that D1M represents a reasonable starting point to
describe fission in heavy and superheavy nuclei. Special attention is also paid
to understand the uncertainties in the predicted $t_\mathrm{SF}$ values arising
from the different building blocks entering the standard semi-classical
Wentzel-Kramers-Brillouin formula. Although the uncertainties are large, the
trend with mass or neutron numbers are well reproduced and therefore the theory
still has predictive power. In this respect, it is also shown that
modifications of a few per cent in the pairing strength can have a significant
impact on the collective masses leading to uncertainties in the $t_\mathrm{SF}$
values of several orders of magnitude.


title:
Continuum limit of the axial anomaly and index for the staggered overlap
  Dirac operator: An overview

abstract:
  Evaluation of the continuum limit of the axial anomaly and index is sketched
for the staggered overlap Dirac operator. There are new complications compared
to the usual overlap case due to the distribution of the spin and flavor
components around lattice hypercubes in the staggered formalism. The index is
found to correctly reproduce the continuum index, but for the axial anomaly
this is only true after averaging over the sites of a lattice hypercube.


title: Widths of function classes on sets with tree-like structure

abstract:
  In this paper, estimates for Kolmogorov, Gelfand and linear widths of
function classes on sets with a tree-like structure are obtained. As examples
we consider weighted Sobolev classes on a John domain, as well as some function
classes on a metric and combinatorial tree.


title: Maximal multiplier operators in $L^{p(\cdot)}(\mathbb{R}^{n})$ spaces

abstract:
  In this paper we study some estimates of norms in variable exponent Lebesgue
spaces for maximal multiplier operators.We will consider the case when
multiplier is the Fourier transform of a compactly supported Borel measure


title: Extremal results on average subtree density of series-reduced trees

abstract:
  Vince and Wang showed that the average subtree density of a series-reduced
tree is between 1/2 and 3/4, answering a conjecture of Jamison. They ask under
what conditions a sequence of such trees may have average subtree density
tending to either bound; we answer these questions by giving simple necessary
and sufficient conditions in each case.


title:
Possible Overionization of C II, N II, and O II Ions in the Atmospheres
  of Early B- and Late O-Type Stars

abstract:
  The reliability of C, N, and O abundances determined from the C II, N II, and
O II lines in the main sequence (MS) early B- and late O-type stars is
examined. This analysis is based on a fact of primary importance for this
problem: the C II, N II, and O II ions in atmospheres of these stars are
photoionized by radiation in the far UV. Observations show that the actual flux
in this range for hot stars can be considerably higher than theoretical levels;
thus, overionization of the C II, N II, and O II ions beyond the ionization
calculated with the standard model atmospheres occurs in the actual atmospheres
of these stars. Underestimates in the calculated ionization lead to reduced
values of the C, N, and O abundances. This is confirmed by the observed
dependence on the effective temperature Teff: the C, N and O abundances tend to
be lower with increasing Teff. It is shown that overionization becomes
significant for sufficiently hot stars, namely when Teff>18500 K for the C II
lines and when Teff>26000 K for the N II and O II lines. The systematic
difference in the C, N and O abundances between these relatively hot stars and
the cooler B-type MS stars is about 0.2 dex. The relatively cool B-type MS
stars (Teff<18100 K for C II and Teff<25000 K for N II and O II) yield the
undistorted C, N and O abundances, and their average values agree very well
with modern estimates for the Sun. It is noted that when an alternative method
based on examining the ionization balance (e.g., He I-II, C II-III, Ne I-II, Si
III-IV) is used to determine the parameters Teff and log g, the overionization
problem essentially vanishes; however, this method leads to a systematic
enhancement in Teff and log g. The overionization problem can be solved by
shifting to the improved model atmospheres for early B- and late O-type stars
that takes their sphericity into account and, possibly, stellar winds and
magnetic fields.


title:
Rotating and infalling motion around the high-mass young stellar object
  Cepheus A-HW2 observed with the methanol maser at 6.7 GHz

abstract:
  We have measured the internal proper motions of the 6.7 GHz methanol masers
associated with Cepheus A (Cep A) HW2 using Very Long Baseline Interferometery
(VLBI) observations. We conducted three epochs of VLBI monitoring observations
of the 6.7 GHz methanol masers in Cep A-HW2 with the Japanese VLBI Network
(JVN) over the period between 2006-2008. In 2006, we were able to use
phase-referencing to measure the absolute coordinates of the maser emission
with an accuracy of a few milliarcseconds. We compared the maser distribution
with other molecular line observations that trace the rotating disk. We
measured the internal proper motions for 29 methanol maser spots, of which 19
were identified at all three epochs and the remaining ten at only two epochs.
The magnitude of proper motions ranged from 0.2 to 7.4 km/s, with an average of
3.1 km/s. Although there are large uncertainties in the observed internal
proper motions of the methanol maser spots in Cep A, they are well fitted by a
disk that includes both rotation and infall velocity components. The derived
rotation and infall velocities at the disk radius of 680 au are 0.5 +- 0.7 and
1.8 +- 0.7 km/s, respectively. Assuming that the modeled disk motion accurately
represents the accretion disk around the Cep A-HW2 high-mass YSO, we estimated
the mass infall rate to be 3 x 10^{-4} n_8 Msun/yr (n_8 is the gas volume
density in units of 10^{8} cm^{-3}). The combination of the estimated mass
infall rate and the magnitude of the fitted infall velocity suggests that Cep
A-HW2 is at an evolutionary phase of active gas accretion from the disk onto
the central high-mass YSO. The infall momentum rate is estimated to be 5 x
10^{-4} n_8 Msun/yr km/s, which is larger than the estimated stellar radiation
pressure of the HW2 object, supporting the hypothesis that this object is in an
active gas accretion phase.


title:
Two-body orbit expansion due to time-dependent relative acceleration
  rate of the cosmological scale factor

abstract:
  By phenomenologically assuming a slow temporal variation of the percent
acceleration rate $\ddot S S^{-1}$ of the cosmic scale factor $S(t)$, it is
shown that the orbit of a local binary undergoes a secular expansion. To first
order in the power expansion of $\ddot S S^{-1}$ around the present epoch
$t_0$, a non-vanishing shift per orbit $\left\langle\Delta r\right\rangle$ of
the two-body relative distance $r$ occurs for eccentric trajectories. A general
relativistic expression, which turns out to be cubic in the Hubble parameter
$H_0$ at the present epoch, is explicitly calculated for it in the case of
matter-dominated epochs with Dark Energy. For a highly eccentric Oort comet
orbit with period $P_{\rm b}\approx 31$ Myr, the general relativistic distance
shift per orbit turns out to be of the order of $\left\langle\Delta
r\right\rangle\approx 70$ km. For the Large Magellanic Cloud, assumed on a
bound elliptic orbit around the Milky Way, the shift per orbit is of the order
of $\left\langle\Delta r\right\rangle\approx 2-4$ pc. Our result has a general
validity since it holds in any cosmological model admitting the Hubble law and
a slowly varying $\ddot S S^{-1}(t)$. More generally, it is valid for an
arbitrary Hooke-like extra-acceleration whose \virg{elastic} parameter
$\mathcal{K}$ is slowly time-dependent, irrespectively of the physical
mechanism which may lead to it. The coefficient $\mathcal{K}_1$ of the
first-order term of the power expansion of $\mathcal{K}(t)$ can be
preliminarily constrained in a model-independent way down to a
$\mathcal{K}_1\lesssim 2\times 10^{-13}$ yr$^{-3}$ level from latest Solar
System's planetary observations. The radial velocities of the double lined
spectroscopic binary $\alpha$ Cen AB yield $\mathcal{K}_1\lesssim 10^{-8}$
yr$^{-3}$.


title: Parametric amplification by coupled flux qubits

abstract:
  We report the parametric amplification of a microwave signal in a Kerr medium
formed from superconducting qubits. Two mutually coupled flux qubits, embedded
in the current antinode of a superconducting coplanar waveguide resonator, are
used as a nonlinear element. Shared Josephson junctions provide the
qubit-resonator coupling, resulting in a device with a measured gain of about
20 dB. We argue, that this arrangement represents a unit cell which can be
straightforwardly extended to a quasi one-dimensional quantum metamaterial with
a large tunable Kerr nonlinearity.


title:
Reduction of fourth order ordinary differential equations to second and
  third order Lie linearizable forms

abstract:
  Meleshko presented a new method for reducing third order autonomous ordinary
differential equations (ODEs) to Lie linearizable second order ODEs. We
extended his work by reducing fourth order autonomous ODEs to second and third
order linearizable ODEs and then applying the Ibragimov and Meleshko
linearization test for the obtained ODEs. The application of the algorithm to
several ODEs is also presented.


title: Intrinsic metric on graded graphs,standardness,and invariant measures

abstract:
  We define a general notion of a smooth invariant (central) ergodic measure on
the space of paths of an $N$-graded graph (Bratteli diagram). It is based on
the notion of standardness of the tail filtration in the space of paths, and
the smoothness criterion uses the so-called intrinsic metric which can be
canonically defined on the set of vertices of these graphs. In many cases known
to the author, like the Pascal graph, the Young graph, the space of
configurations, all ergodic central measures are smooth (in this case, we say
that the graph is smooth). But even in these cases, the intrinsic metric is far
from being obvious and does not coincide with the "natural" metric. We apply
and generalize the theory of filtrations developed by the author during the
last forty years to the case of tail filtrations and, in particular, introduce
the notion of a standard filtration as a generalization to the case of
semi-homogeneous filtrations of the notion of a standard homogeneous (dyadic)
filtration in the sense of that theory. The crucial role is played by the new
notion of \textbf{intrinsic semi-metric on the set of vertices of a graph} and
the notion of regular paths, which allows us to refine the ergodic method for
the case of smooth measures. In future, we will apply this new approach to the
theory of invariant measures in combinatorics, ergodic theory, and the theory
of C$^*$-algebras.


title:
Numerical simulation of solutions and moments of the smoluchowski
  coagulation equation

abstract:
  Researchers have employed variations of the Smoluchowski coagulation equation
to model a wide variety of both organic and inorganic phenomena and with
relatively few known analytical solutions, numerical solutions play an
important role in studying this equation. In this article, we consider
numerical approximations, focusing on how different discretization schemes
impact the accuracy of approximate solution moments. Pursuing the eventual goal
of comparing simulated solutions to experimental data, we must carefully choose
the numerical method most appropriate to the type of data we attain. Within
this context, we compare and contrast the accuracy and computational cost of a
finite element approach and a finite volume-based scheme.
  Our study provides theoretical and numerical evidence that the finite element
approach achieves much more accuracy when the system aggregates slowly, and it
does so with much less computation cost. Conversely, the finite volume method
is slightly more accurate approximating the zeroth moment when the system
aggregates quickly and is much more accurate approximating the first moment in
general.
  Lastly, our study also provides numerical evidence that the finite element
method (conventionally considered first order) actually belongs to a class of
discontinuous Galerkin methods that exhibit superconvergence, or second order
in our case.


title: Constant scalar curvature metrics on Hirzebruch surfaces

abstract:
  We construct smooth Riemannian metrics with constant scalar curvature on each
Hirzebruch surface. These metrics respect the complex structures, fiber bundle
structures, and Lie group actions of cohomogeneity one on these manifolds. Our
construction is reduced to an ordinary differential equation called Duffing
equation. An ODE for Bach-flat metrics on Hirzebruch surfaces with large
isometry group is also derived.


title:
Effective Cahn-Hilliard equation for the phase separation of active
  Brownian particles

abstract:
  The kinetic separation of repulsive active Brownian particles into a dense
and a dilute phase is analyzed using a systematic coarse-graining strategy. We
derive an effective Cahn-Hilliard equation on large length and time scales,
which implies that the separation process can be mapped onto that of passive
particles. A lower density threshold for clustering is found, and using our
approach we demonstrate that clustering first proceeds via a hysteretic
nucleation scenario and above a higher threshold changes into a spinodal-like
instability. Our results are in agreement with particle-resolved computer
simulations and can be verified in experiments of artificial or biological
microswimmers.


title: Minimum Dominating Set for a Point Set in $\IR^2$

abstract:
  In this article, we consider the problem of computing minimum dominating set
for a given set $S$ of $n$ points in $\IR^2$. Here the objective is to find a
minimum cardinality subset $S'$ of $S$ such that the union of the unit radius
disks centered at the points in $S'$ covers all the points in $S$. We first
propose a simple 4-factor and 3-factor approximation algorithms in $O(n^6 \log
n)$ and $O(n^{11} \log n)$ time respectively improving time complexities by a
factor of $O(n^2)$ and $O(n^4)$ respectively over the best known result
available in the literature [M. De, G.K. Das, P. Carmi and S.C. Nandy, {\it
Approximation algorithms for a variant of discrete piercing set problem for
unit disk}, Int. J. of Comp. Geom. and Appl., to appear]. Finally, we propose a
very important shifting lemma, which is of independent interest and using this
lemma we propose a $\frac{5}{2}$-factor approximation algorithm and a PTAS for
the minimum dominating set problem.


title:
Extensions of the Appelrot classes for the generalized gyrostat in a
  double force field

abstract:
  For the integrable system on $e(3,2)$ found by Sokolov and Tsiganov we obtain
explicit equations of some invariant 4-dimensional manifolds on which the
induced systems are almost everywhere Hamiltonian with two degrees of freedom.
These subsystems generalize the famous Appelrot classes of critical motions of
the Kowalevski top. For each subsystem we point out a commutative pair of
independent integrals, describe the sets of degeneration of the induced
symplectic structure. With the help of the obtained invariant relations, for
each subsystem we calculate the outer type of its points considered as critical
points of the initial system with three degrees of freedom.


title: Search for Hidden photons with Sumico

abstract:
  We searched for solar hidden photons in the visible photon energy range using
a hidden photon detector add-on attached to Sumico. It consists of a parabolic
mirror of dia. 0.5m and f=1m installed in a vacuum chamber, and a low noise
photomultiplier tube at the focal point. No evidence for the existence of
hidden photons was found in the latest measurement giving a new limit on the
photon-hidden photon mixing parameter in the hidden photon mass range
0.001-1eV.


title:
Nonlocal supercurrent in mesoscopic multiterminal SNS Josephson junction
  in the low-temperature limit

abstract:
  Nonlocal supercurrent was observed in mesoscopic planar SNS Josephson
junction with additional normal metal electrodes when nonequilibrium
quasiparticles were injected from the normal metal electrode in one of the
superconducting banks of the Josephson junction in the absence of net transport
current through the junction. We claim that the effect observed is due to a
supercurrent counterflow appearing to compensate the quasiparticle flow in the
SNS weak link. We have measured SNS junction response for different distances
from the quasiparticle injector to the SNS junction at temperatures far below
the superconducting transition temperature. The charge-imbalance relaxation
length was estimated by using modified Kadin, Smith and Skocpol scheme in the
case of planar geometry. The model developed allows to describe the interplay
of the charge imbalance and Josephson effects in the nanoscale proximity system
in detail.


title: Non-magnetic ground state of PuO$_2$

abstract:
  The correlated band theory implemented as a combination of the local density
approximation with the exact diagonalization of the Anderson impurity model is
applied to PuO$_2$. We obtain an insulating electronic structure consistent
with the experimental photoemission spectra. The calculations yield the band
gap of 1.8 eV and a non-magnetic singlet ground state that is characterized by
a non-integer filling of the plutonium $f$ shell ($n_f\approx 4.5$). Due to
sizeable hybridization of the $f$ shell with the $p$ states of oxygen, the
ground state is more complex than the four-electron Russell--Saunders ${}^5{\rm
I}_4$ manifold split by the crystal field. The inclusion of hybridization
improves the agreement between the theory and experiment for the magnetic
susceptibility.


title:
Products of generalized Nevanlinna functions with symmetric rational
  functions

abstract:
  New classes of generalized Nevanlinna functions, which under multiplication
with an arbitrary fixed symmetric rational function remain generalized
Nevanlinna functions, are introduced. Characterizations for these classes of
functions are established by connecting the canonical factorizations of the
product function and the original generalized Nevanlinna function in a
constructive manner. Also a detailed functional analytic treatment of these
classes of functions is carried out by investigating the connection between the
realizations of the product function and the original function. The operator
theoretic treatment of these realizations is based on the notions of rigged
spaces, boundary triplets, and associated Weyl functions.


title:
Maximum Coverage and Maximum Connected Covering in Social Networks with
  Partial Topology Information

abstract:
  Viral marketing campaigns seek to recruit the most influential individuals to
cover the largest target audience. This can be modeled as the well-studied
maximum coverage problem. There is a related problem when the recruited nodes
are connected. It is called the maximum connected cover problem. This problem
ensures a strong coordination between the influential nodes which are the
backbone of the marketing campaign. In this work, we are interested on both of
these problems. Most of the related literature assumes knowledge about the
topology of the network. Even in that case, the problem is known to be NP-hard.
In this work, we propose heuristics to the maximum connected cover problem and
the maximum coverage problem with different knowledge levels about the topology
of the network. We quantify the difference between these heuristics and the
local and global greedy algorithms.


title:
Generalization of the construction method for multistability-equivalent
  gene regulatory networks to systems with multi-input multi-output
  loopbreaking

abstract:
  The problem of equivalence in terms of multistability properties between gene
regulatory network models of different dimensionality has been recently
addressed by Schittler et al. (2013). The authors in that work proposed
construction rules for a high-dimensional dynamical system, when given a
low-dimensional dynamical system and the high-dimensional network structure.
However, the proof therein was restricted to the class of systems for which all
internal feedback loops can be broken by a loopbreaking approach yielding a
single-input single-output (SISO) system. In this report, we present the
generalization of the proof to systems with any number of internal feedback
loops, which will be broken by a generalized loopbreaking approach resulting in
a multi-input multi-output (MIMO) system. This generalization of the method
renders the construction method applicable to a broad class of gene regulatory
network models, thus promoting the transfer of results from core motif models
to more realistic, high-dimensional models of gene regulation. We demonstrate
the potential and value of our method by applying it to an example of a gene
regulatory network in mesenchymal stem cell differentiation.


title:
Zero-range process with finite compartments: Gentile's statistics and
  glassiness

abstract:
  We discuss statics and dynamics of condensation in a zero-range process with
compartments of limited sizes. For the symmetric dynamics the stationary state
has a factorized form. For the asymmetric dynamics the steady state factorizes
only for special hopping rules which allow for overjumps of fully occupied
compartments. In the limit of large system size the grand canonical analysis is
exact also in a condensed phase, and for a broader class of hopping rates as
compared to the previously studied systems with infinite compartments. The
dynamics of condensation exhibits a dynamical self-blocking which significantly
prolongs relaxation times. These general features are illustrated with a
concrete example: an inhomogeneous system with hopping rates that result in
Bose-Einstein-like condensations.


title: ICARUS at FNAL

abstract:
  The INFN and the ICARUS collaboration originally developed the technology of
the LAr-TPC. Located the underground LNGS Hall-B, the ICARUS T600 detector has
been performed over three years with remarkable detection efficiency featuring
a smooth operation, high live time, and high reliability. About 3000 CNGS
neutrino events have been collected and are being actively analyzed. ICARUS
will now be moved to CERN for an extensive R&D program. The T600 detector will
be overhauled and complemented with a similar T150 detector. These improvements
are performed in collaboration with the LBNE experiment, of which several INFN
Institutions are now members. As a novelty, a SC magnetic field of about 1 T
will be introduced. During 2016 it is proposed to move the experiment to FNAL
where short base line neutrino beams are available, complementing the approved
MicroBooNe experiment which will start operation in 2014. The ICARUS detectors
at FNAL will be an important addition since, in absence of anomalies, the
signals of several detectors at different distances from the target should be a
copy of each other for all experimental signatures. Due to the reduced mass, in
MicroBooNE the anti-neutrino signal is too weak for a sensitive comparison.
Hence, a definitive clarification of the LSND anomaly requires the exploration
of the anti-neutrino signal provided by the much larger T600. The magnetic
field will allow separating the anti-neutrino signal from the neutrino-induced
background. It is proposed to expose the T600 at the Booster NuBeam at ~700 m
from target; the T150 will be located at ~150 m. The T600 will also receive
>10^4 nu_e events/year from the off-axis NUMI beam peaked around 1 GeV and
exploitable to prepare for the LBNE experiment. The ICARUS teams are also
interested in extending the participation to other short baseline neutrino
activities collaborating with existing FNAL groups.


title: Complexity Results for Rainbow Matchings

abstract:
  A rainbow matching in an edge-colored graph is a matching whose edges have
distinct colors. We address the complexity issue of the following problem,
\mrbm: Given an edge-colored graph $G$, how large is the largest rainbow
matching in $G$? We present several sharp contrasts in the complexity of this
problem.
  We show, among others, that
  * can be approximated by a polynomial algorithm with approximation ratio
$2/3-\eps$. * is APX-complete, even when restricted to properly edge-colored
linear forests without a $5$-vertex path, and is solvable in %time $O(m^{3/2})$
on edge-colored $m$-edge polynomial time for edge-colored forests without a
$4$-vertex path. * is APX-complete, even when restricted to properly
edge-colored trees without an $8$-vertex path, and is solvable in %time
$O(n^{7/2})$ on edge-colored $n$-vertex polynomial time for edge-colored trees
without a $7$-vertex path. * is APX-complete, even when restricted to properly
edge-colored paths.
  These results provide a dichotomy theorem for the complexity of the problem
on forests and trees in terms of forbidding paths. The latter is somewhat
surprising, since, to the best of our knowledge, no (unweighted) graph problem
prior to our result is known to be NP-hard for simple paths. We also address
the parameterized complexity of the problem.


title: Exact Nonadiabatic Holonomic Transformations of Spin-Orbit Qubits

abstract:
  An exact analytical solution is derived for the wavefunction of an electron
in a one-dimensional moving quantum dot in a nanowire, in the presence of
time-dependent spin-orbit coupling. For cyclic evolutions we show that the spin
of the electron is rotated by an angle proportional to the area of a closed
loop in the parameter space of the time-dependent quantum dot position and the
amplitude of a fictitious classical oscillator driven by the time-dependent
spin-orbit coupling. By appropriate choice of parameters, we show that
arbitrary spin rotations may be performed on the Bloch sphere. Exact
expressions for dynamical and geometrical phases are also derived.


title:
Fe-vacancy order and superconductivity in PbO-type tetragonal
  {\beta}-Fe1-xSe

abstract:
  Several superconducting transition temperatures in the range of 30-40 K were
reported in the recently discovered intercalated FeSe sytem (A1-xFe2-ySe2, A =
K, Rb, Cs, Tl). Although the superconducting phases were not yet conclusively
decided, more than one magnetic phase with particular orders of iron vacancy
and/or potassium vacancy were identified, and some were argued to be the parent
phase. Here we show the discovery of the presence and ordering of iron vacancy
in nonintercalated FeSe (PbO-type tetragonal {\beta}-Fe1-xSe). Three types of
iron-vacancy order were found through analytical electron microscopy, and one
was identified to be nonsuperconducting and magnetic at low temperature. This
discovery suggests that the rich-phases found in A1-xFe2-ySe2 are not exclusive
in Fe-Se related superconductors. In addition, the magnetic {\beta}-Fe1-xSe
phases with particular iron-vacancy orders are more likely to be the parent
phase of FeSe superconducting system, instead of the previously assigned
{\beta}-Fe1+{\delta}Te.


title: Architectural form as space-time cell

abstract:
  The architecture has its basis in a dialectic search of new choices of
representation. We deal with the form on the contemporary architecture under
two approaches: expression and content. We examine how mathematical principles
based on natural growth can be applied in architectural design in order to
create a dynamic, rather than static, structure. The dynamic process of a cell
and its growth provides the basic structure. We exemplify the impact of the new
forms on the new society that already began.


title:
Pathwise solvability of stochastic integral equations with generalized
  drift and non-smooth dispersion functions

abstract:
  We study one-dimensional stochastic integral equations with non-smooth
dispersion coefficients, and with drift components that are not restricted to
be absolutely continuous with respect to Lebesgue measure. In the spirit of
Lamperti, Doss and Sussmann, we relate solutions of such equations to solutions
of certain ordinary integral equations, indexed by a generic element of the
underlying probability space. This relation allows us to solve the stochastic
integral equations in a pathwise sense.


title:
Active Discovery of Network Roles for Predicting the Classes of Network
  Nodes

abstract:
  Nodes in real world networks often have class labels, or underlying
attributes, that are related to the way in which they connect to other nodes.
Sometimes this relationship is simple, for instance nodes of the same class are
may be more likely to be connected. In other cases, however, this is not true,
and the way that nodes link in a network exhibits a different, more complex
relationship to their attributes. Here, we consider networks in which we know
how the nodes are connected, but we do not know the class labels of the nodes
or how class labels relate to the network links. We wish to identify the best
subset of nodes to label in order to learn this relationship between node
attributes and network links. We can then use this discovered relationship to
accurately predict the class labels of the rest of the network nodes.
  We present a model that identifies groups of nodes with similar link
patterns, which we call network roles, using a generative blockmodel. The model
then predicts labels by learning the mapping from network roles to class labels
using a maximum margin classifier. We choose a subset of nodes to label
according to an iterative margin-based active learning strategy. By integrating
the discovery of network roles with the classifier optimisation, the active
learning process can adapt the network roles to better represent the network
for node classification. We demonstrate the model by exploring a selection of
real world networks, including a marine food web and a network of English
words. We show that, in contrast to other network classifiers, this model
achieves good classification accuracy for a range of networks with different
relationships between class labels and network links.


title:
Electrical Signature of Excitonic Electroluminescence and Mott
  Transition at Room Temperature

abstract:
  Mostly optical spectroscopies are used to investigate existence of excitons,
Mott transitions and other exquisite excitonic condensed phases of matter. On
the other hand, electrical signatures of excitons are hardly explored. Here we
examine steady state, small signal, electrical response of AlGaInP based
multi-quantum well laser diodes to identify and investigate the presence of
excitons in electroluminescence. This frequency dependent response shows bias
activated capacitance following a phenomenological rate equation. Dynamic
dependence of this response on frequency reverses after light emission. This
results in negative activation energy which we explain with the formation of a
stable, intermediate transition state whose average energy matches well with
excitonic binding energy of these III-V semiconductors. Hence we identify the
presence of excitons which are also responsible for observed
electroluminescence at low charge injections by electrical measurements alone.
Further increase in charge injection suppresses the electrical signature of
excitons representing their Mott transition into electron-hole plasma which is
supported by standard optical measurements. This kind of correlation between
electrical and optical properties of excitons was not systematically
investigated in the past. Therefore, this study demonstrates a fresh
experimental approach to electrically probe the rich and complex physics of
excitons.


title: Scaling Integral Projection Models for Analyzing Size Demography

abstract:
  Historically, matrix projection models (MPMs) have been employed to study
population dynamics with regard to size, age or structure. To work with
continuous traits, in the past decade, integral projection models (IPMs) have
been proposed. Following the path for MPMs, currently, IPMs are handled first
with a fitting stage, then with a projection stage. Model fitting has, so far,
been done only with individual-level transition data. These data are used in
the fitting stage to estimate the demographic functions (survival, growth,
fecundity) that comprise the kernel of the IPM specification. The estimated
kernel is then iterated from an initial trait distribution to obtain what is
interpreted as steady state population behavior. Such projection results in
inference that does not align with observed temporal distributions. This might
be expected; a model for population level projection should be fitted with
population level transitions.


title: A thermal coherent state defined with the Lie-Trotter product formula

abstract:
  In this paper, we investigate a thermal coherent state defined with the
Lie-Trotter product formula under the formalism of the thermo field dynamics.
In the definition of our thermal coherent state, we treat the thermalizing
operator and the displacement operator symmetrically. We examine its
uncertainty relation and quasiprobability distributions. Although this thermal
coherent state is equivalent to the conventional ones except for different
parameterizations and a phase factor, it is convenient for describing an
experimental setup of the optical parametric oscillator laser.


title:
Physical constraints determine the logic of bacterial promoter
  architectures

abstract:
  Site-specific transcription factors (TFs) bind to their target sites on the
DNA, where they regulate the rate at which genes are transcribed. Bacterial TFs
undergo facilitated diffusion (a combination of 3D diffusion around and 1D
random walk on the DNA) when searching for their target sites. Using computer
simulations of this search process, we show that the organisation of the
binding sites, in conjunction with TF copy number and binding site affinity,
plays an important role in determining not only the steady state of promoter
occupancy, but also the order at which TFs bind. These effects can be captured
by facilitated diffusion-based models, but not by standard thermodynamics. We
show that the spacing of binding sites encodes complex logic, which can be
derived from combinations of three basic building blocks: switches, barriers
and clusters, whose response alone and in higher orders of organisation we
characterise in detail. Effective promoter organizations are commonly found in
the E. coli genome and are highly conserved between strains. This will allow
studies of gene regulation at a previously unprecedented level of detail, where
our framework can create testable hypothesis of promoter logic.


title: Accretion of radiation and rotating Primordial black holes

abstract:
  We consider rotating Primordial black holes (PBHs) and study the effect of
accretion of radiation in the radiation dominated era. The central part of our
analysis deals with the role of the angular momentum parameter on the evolution
of PBHs. We find that both the accretion rate and evaporation rate decrease
with increase in angular momentum parameter, but the rate of evaporation
decreases more rapidly than the rate of accretion. This shows that the
evaporation time of PBHs get prolonged with increase in angular momentum
parameter. We also note that the lifetime of rotating PBHs increase with
increase in accretion efficiency of the radiation as in the case of nonrotating
PBHs.


title: On the quasilinear wave equations in time dependent inhomogeneous media

abstract:
  We consider the problem of small data global existence for quasilinear wave
equations with null condition on a class of Lorentzian manifolds
$(\mathbb{R}^{3+1}, g)$ with \textbf{time dependent} inhomogeneous metric. We
show that sufficiently small data give rise to a unique global solution for
metric which is merely $C^1$ close to the Minkowski metric inside some large
cylinder $\{\left.(t, x)\right||x|\leq R\}$ and approaches the Minkowski metric
weakly as $|x|\rightarrow \infty$. Based on this result, we give weak but
sufficient conditions on a given large solution of quasilinear wave equations
such that the solution is globally stable under perturbations of initial data.


title: Global solutions of nonlinear wave equations with large energy

abstract:
  In this paper, we give a criterion on the Cauchy data for the semilinear wave
equations satisfying the null condition in $\mathbb{R}^+\times\mathbb{R}^{3}$
such that the energy of the data can be arbitrarily large while the solution is
still globally in time in the future.


title:
Comment on "Conductance scaling in Kondo-correlated quantum dots: Role
  of level asymmetry and charging energy"

abstract:
  In a recent work [L. Merker, S. Kirchner, E. Munoz, and T. A. Costi, Phys.
Rev. B 87, 165132 (2013)], the authors compared results of numerical
renormalization group and a perturbative approach for the dependence on
temperature T and magnetic field B of the conductance through a quantum dot
described by the impurity Anderson model, for small T and B. We show that the
equation used to extract the dependence on B from NRG results is incorrect out
of the particle-hole symmetric case. As a consequence, in the Kondo regime, the
correct NRG results have a weaker dependence on B and the disagreement between
both approaches increase.


title: A Poisson manifold of strong compact type

abstract:
  We construct a corank one Poisson manifold which is of strong compact type,
i.e., the associated Lie algebroid structure on its cotangent bundle is
integrable, annd the source 1-conected (symplectic) integration is compact. The
construction relies on the moduli of marked K3 surfaces.


title:
Derived bracket construction and anti-cyclic subcomplex of Leibniz
  (co)homology complex

abstract:
  An arbitrary Leibniz algebra can be embedded in a differential graded Lie
algebra via the derived bracket construction. Such an embedding is called a
derived bracket representation. We will construct the universal version of the
derived bracket representation, prove that the principal part of the target dg
Lie algebra defines a subcomplex of Leibniz (co)homology complex and that the
existence of the subcomplex is a reflection of the anti-cyclicity of the
Leibniz operad.


title:
New constraints on neutrino millicharge from terrestrial experiments and
  astrophysics

abstract:
  Phenomenology of possible neutrino millicharge in terrestrial and
astrophysical settings is discussed. Two new limits on the millicharge from
terrestrial experiments and astrophysics are reported.


title: How do neutrinos oscillate in moving and accelerated matter?

abstract:
  Neutrino flavour oscillations in a nonuniformly moving matter are considered.
The neutrino oscillation resonance condition in presence of matter, in the most
general case when matter is moving with acceleration, is derived for the first
time. We predict that the effect of matter acceleration can have significant
influence on neutrino oscillations pattern in different astrophysical
environments.


title: The $c_2$ invariant is invariant

abstract:
  The $c_2$ invariants in all 4 different representations of the Feynman period
(parametric and dual parametric representations, position and momentum spaces)
coincide for all log-divergent graphs that satisfy the combinatorial condition
called duality admissibility. We check this condition for a good subspace of
graphs, for instance for all planar graphs. After the result in \cite{D3}, the
coincidence holds for all physically relevant graphs.


title: Weak Solutions of Navier-Stokes equations through bounded operators

abstract:
  In this paper we will shows the solutions of Navier-Stokes with Oseen theory.
The composition of turbulent solutions is a sum of regular solutions in a
bounded space. We will show an another demonstration of solutions for
Navier-Stokes equations with bounded operator in a Hilbert Functional Space,
the base for this work is a Cauchy-Shwarz inequality and Energy Dissipation
Inequality.


title: On How Neutrino Protects the Axion

abstract:
  We show how the neutrino can sacrifice itself to quantum gravity and save the
axion solution to the strong-CP problem. This mechanism puts an upper bound on
the lightest neutrino mass.


title:
Tensor Commutation Matrices and Some Generalizations of the Pauli
  Matrices

abstract:
  In this paper, some tensor commutation matrices are expressed in termes of
the generalized Pauli matrices by tensor products of the Pauli matrices.


title: Arithmetical Foundations - Recursion. Evaluation. Consistency

abstract:
  Primitive recursion, mu-recursion, universal object and universe theories,
complexity controlled iteration, code evaluation, soundness, decidability,
G\"odel incompleteness theorems, inconsistency provability for set theory,
constructive consistency.


title: Modified melting crystal model and Ablowitz-Ladik hierarchy

abstract:
  This is a review of recent results on the integrable structure of the
ordinary and modified melting crystal models. When deformed by special external
potentials, the partition function of the ordinary melting crystal model is
known to become essentially a tau function of the 1D Toda hierarchy. In the
same sense, the modified model turns out to be related to the Ablowitz-Ladik
hierarchy. These facts are explained with the aid of a free fermion system,
fermionic expressions of the partition functions, algebraic relations among
fermion bilinears and vertex operators, and infinite matrix representations of
those operators.


title: Exact solutions of Laplace equation by differential transform method

abstract:
  In this paper, we solve Laplace equation analytically by using differential
transform method. For this purpose, we consider four models with two Dirichlet
and two Neumann boundary conditions and obtain the corresponding exact
solutions. The obtained results show the simplicity of the method and massive
reduction in calculations when one compares it with other iterative methods,
available in literature. It is worth mentioning that here only a few number of
iterations are required to reach the closed form solutions as series expansions
of some known functions.