title: Multiscale Change-Point Inference

abstract:
  We introduce a new estimator SMUCE (simultaneous multiscale change-point
estimator) for the change-point problem in exponential family regression. An
unknown step function is estimated by minimizing the number of change-points
over the acceptance region of a multiscale test at a level \alpha. The
probability of overestimating the true number of change-points K is controlled
by the asymptotic null distribution of the multiscale test statistic. Further,
we derive exponential bounds for the probability of underestimating K. By
balancing these quantities, \alpha will be chosen such that the probability of
correctly estimating K is maximized. All results are even non-asymptotic for
the normal case. Based on the aforementioned bounds, we construct
asymptotically honest confidence sets for the unknown step function and its
change-points. At the same time, we obtain exponential bounds for estimating
the change-point locations which for example yield the minimax rate O(1/n) up
to a log term. Finally, SMUCE asymptotically achieves the optimal detection
rate of vanishing signals. We illustrate how dynamic programming techniques can
be employed for efficient computation of estimators and confidence regions. The
performance of the proposed multiscale approach is illustrated by simulations
and in two cutting-edge applications from genetic engineering and photoemission
spectroscopy.


title:
Minimality via second variation for microphase separation of diblock
  copolymer melts

abstract:
  We consider a non local isoperimetric problem arising as the sharp interface
limit of the Ohta-Kawasaki free energy introduced to model microphase
separation of diblock copolymers. We perform a second order variational
analysis that allows us to provide a quantitative second order minimality
condition. We show that critical configurations with positive second variation
are indeed strict local minimizers of the nonlocal perimeter. Moreover we
provide, via a suitable quantitative inequality of isoperimetric type, an
estimate of the deviation from minimality for configurations close to the
minimum in the $L^1$ topology .


title: On equivalency of various geometric structures

abstract:
  In the literature we see that after introducing a geometric structure by
imposing some restrictions on Riemann-Christoffel curvature tensor, the same
type structure given by imposing same restriction on other curvature tensors
being studied. The main object of the present paper is to study the equivalency
of various geometric structures obtained by same restriction imposing on
different curvature tensors. In this purpose we present a tensor by combining
Riemann-Christoffel curvature tensor, Ricci tensor, the metric tensor and
scalar curvature which describe various curvature tensors as its particular
cases.


abstract:
  Conjugation covariants of matrices are applied to study the real algebraic
variety consisting of complex Hermitian matrices with a bounded number of
distinct eigenvalues. A minimal generating system of the vanishing ideal of
degenerate three by three Hermitian matrices is given, and the structure of the
corresponding coordinate ring as a module over the special unitary group is
determined. The method applies also for degenerate real symmetric three by
three matrices. For arbitrary $n$ partial information on the minimal degree
component of the vanishing ideal of the variety of $n\times n$ Hermitian
matrices with a bounded number of eigenvalues is obtained, and some known
results on sum of squares presentations of subdiscriminants of real symmetric
matrices are extended to the case of complex Hermitian matrices.


title: On critical behavior in nonlinear evolutionary PDEs with small viscosity

abstract:
  We address the problem of general dissipative regularization of the
quasilinear transport equation. We argue that the local behavior of solutions
to the regularized equation near the point of gradient catastrophe for the
transport equation is described by the logarithmic derivative of the Pearcey
function, a statement generalizing the result of A.M.Il'in. We provide some
analytic arguments supporting such conjecture and test it numerically.


title: $r$-fundamental groups of graphs

abstract:
  In this paper, we introduce the notions of $r$-fundamental groups of graphs,
$r$-covering maps, and $r$-neighborhood complexes of graphs for a positive
integer $r$. There is a natural correspondence between $r$-covering maps and
$r$-fundamental groups as is the case of the covering space theory in topology.
We can derive obstructions of the existences of graph maps from $r$-fundamental
groups. Especially, $r$-fundamental groups gives deep informations about the
existences of graph maps to odd cycles. For example, we prove the Kneser graph
$K_{2k+1,k}$ has no graph maps to $C_5$. $r$-neighborhood complexes are natural
generalization of neighborhood complexes defined by Lov$\acute{\rm a}$sz. We
prove that $(2r)$-fundamental groups gives graph theoretical description of the
fundamental groups of $r$-neighborhood complexes.


title: Leptonic $D_s$ decays at $B$-factories

abstract:
  We review recent measurements of leptonic $D_s$-meson decays performed by
Belle and BaBar collaborations. Described measurements enable experimental
extraction of the $D_s$-meson decay constant which can be compared with lattice
QCD calculations.


title:
Resonance Features of the Conductance of Open Billiards with the
  Spin-Orbit Interaction

abstract:
  The transport properties of a circular billiard with attached channels, which
is an open system, have been studied in the presence of the Dresselhaus and
Rashba spin-orbit interactions. It has been shown that this interaction leads
to the appearance of additional Fano resonances in the energy dependence of the
conductance, the width of which is proportional to the fourth power of the
spin-orbit coupling constant.


title:
Holographic correlation functions of hexagon Wilson loops with one local
  operator

abstract:
  We consider the ratio of the correlation function of an hexagon light-like
Wilson loop with one local operator over the expectation value of the Wilson
loop within the strong-coupling regime of the AdS/CFT correspondence. We choose
the hexagon Wilson loop within a class of minimal solutions obtained by cutting
and gluing light-like quadrangle loops. These surfaces do not have an
interpretation in terms of dual scattering amplitudes but they still exhibit
general features of the mixed correlation function. In the case of a regular
null hexagon conformal symmetry constrains the space-time dependence of the
correlator up to a function of three conformal cross-ratios. We obtain the
leading-order contribution to the correlation function in the semiclassical
approximation of large string tension, and express the result in terms of three
conformal ratios in the case where the local operator is taken to be the
dilaton. We include the analysis of an irregular Wilson loop obtained after a
boost of the regular hexagon.


title: The role of galaxy mergers on the evolution of star clusters

abstract:
  Interacting galaxies favor the formation of star clusters but are also
suspected to affect their evolution through an intense and rapidly varying
tidal field. Treating this complex behaviour remains out-of-reach of
(semi-)analytical studies. By computing the tidal field from galactic models
and including it into star-by-star N-body simulations of star clusters, we
monitor the structure and mass evolution of a population of clusters in a
galaxy major merger, taking the Antennae galaxies (NGC 4038/39) as a prototype.
On the long timescale (~ 10^9 yr), the merger only indirectly affects the
evolution of clusters by modifying their orbits in or around the galaxies: the
mass-loss of clusters in the merger remnant is faster, while clusters ejected
in the tidal debris survive much longer, compared to in an isolated galaxy. The
tidal perturbations of the galactic collisions themselves are too short lived
and not strong enough to significantly influence the structure and dissolution
of realistically dense/massive star clusters.


title: Methods for Analyzing Resonances in Atomic Scattering

abstract:
  Resonances, which are also described as autoionizing or quasi-bound states,
play an important role in the scattering of atoms and ions with electrons. The
current article is an overview of the main methods, including a
recently-proposed one, that are used to find and analyze resonances.


title:
Reduction of filtered K-theory and a characterization of Cuntz-Krieger
  algebras

abstract:
  We show that filtered K-theory is equivalent to a substantially smaller
invariant for all real-rank-zero C*-algebras with certain primitive ideal
spaces -- including the infinitely many so-called accordion spaces for which
filtered K-theory is known to be a complete invariant. As a consequence, we
give a characterization of purely infinite Cuntz-Krieger algebras whose
primitive ideal space is an accordion space.


title: Results from STAR Beam Energy Scan Program

abstract:
  Results from the Beam Energy Scan (BES) program conducted recently by STAR
experiment at RHIC are presented. The data from Phase-I of the BES program
collected in Au+Au collisions at center-of-mass energies (\sqrt{s_{NN}}) of
7.7, 11.5, 19.6, 27, and 39 GeV cover a wide range of baryon chemical potential
?\mu_B (100-400 MeV) in the QCD phase diagram. Several STAR results from the
BES Phase-I related to "turn-off" of strongly inter- acting quark-gluon plasma
(sQGP) signatures and signals of QCD phase boundary are reported. In addition
to this, an outlook is presented for the future BES Phase-II program and a
possible fixed target program at STAR.


title: MEG Upgrade Proposal

abstract:
  We propose the continuation of the MEG experiment to search for the charged
lepton flavour violating decay (cLFV) \mu \to e \gamma, based on an upgrade of
the experiment, which aims for a sensitivity enhancement of one order of
magnitude compared to the final MEG result, down to the $6 \times 10^{-14}$
level. The key features of this new MEG upgrade are an increased rate
capability of all detectors to enable running at the intensity frontier and
improved energy, angular and timing resolutions, for both the positron and
photon arms of the detector. On the positron-side a new low-mass, single
volume, high granularity tracker is envisaged, in combination with a new highly
segmented, fast timing counter array, to track positron from a thinner stopping
target. The photon-arm, with the largest liquid xenon (LXe) detector in the
world, totalling 900 l, will also be improved by increasing the granularity at
the incident face, by replacing the current photomultiplier tubes (PMTs) with a
larger number of smaller photosensors and optimizing the photosensor layout
also on the lateral faces. A new DAQ scheme involving the implementation of a
new combined readout board capable of integrating the diverse functions of
digitization, trigger capability and splitter functionality into one condensed
unit, is also under development. We describe here the status of the MEG
experiment, the scientific merits of the upgrade and the experimental methods
we plan to use.


title:
Dimer XXZ Spin Ladders: Phase diagram and a Non-Trivial
  Antiferromagnetic Phase

abstract:
  We study the dimer $XXZ$ spin model on two-leg ladders with isotropic
Heisenberg interactions on the rung and anisotropic $XXZ$ interactions along
the rail in an external field. Combining both analytical and numerical methods,
we set up the ground state phase diagram and investigate the quantum phase
transitions and the properties of rich phases, including the full polarized,
singlet dimer, Luttinger liquid, triplon solid, and a non-trivial
antiferromagnetic phases with gap. The analytical analyses based on solvable
effective Hamiltonians are presented for clear view of the phases and
transitions. Quantum Monte Carlo and exact diagonalization methods are employed
on finite system to verify the exact nature of the phases and transitions. Of
all the phases, we pay a special attention to the gapped antiferromagnetic
phase, which is disclosed to be a non-trivial one that exhibits the
time-reversal symmetry. We also discuss how our findings could be detected in
experiment in the light of ultracold atoms technology advances.


title:
Nonequilibrium properties of an atomic quantum dot coupled to a
  Bose-Einstein condensate

abstract:
  We study nonequilibrium properties of an atomic quantum dot (AQD) coupled to
a Bose-Einstein condensate (BEC) within Keldysh-Green's function formalism when
the AQD level is varied harmonically in time. Nonequilibrium features in the
AQD energy absorption spectrum are the side peaks that develop as an effect of
photon absorption and emission. We show that atoms can be efficiently
transferred from the BEC into the AQD for the parameter regime of current
experiments with cold atoms.


title:
Roles of icosahedral and crystal-like order in hard spheres glass
  transition

abstract:
  A link between structural ordering and slow dynamics has recently attracted
much attention from the context of the origin of glassy slow dynamics.
Candidates for such structural order are icosahedral, exotic amorphous, and
crystal-like. Each type of order is linked to a different scenario of glass
transition. Here we experimentally access local structural order in
polydisperse hard spheres by particle-level confocal microscopy. We identify
the key structures as icosahedral and FCC-like order, both statistically
associated with slow particles. However, when approaching the glass transition,
the icosahedral order does not grow in size whereas crystal-like order grows.
It is the latter that governs the dynamics and is linked to dynamic
heterogeneity. This questions the direct role of the local icosahedral ordering
in glassy slow dynamics and suggests that the growing lengthscale of structural
order is essential for the slowing down of dynamics and the nonlocal
cooperativity in particle motion.


title:
Recent progress in the theory of homogenization with oscillating
  Dirichlet data

abstract:
  This note is a summary of the recent paper [9]. Here, we study the
homogenization of elliptic systems with Dirichlet boundary condition, when both
the coefficients and the boundary datum are oscillating.
  In particular, in the paper [9], we showed that, the solutions converge in L2
with a power rate, and we identified the homogenized limit system and the
homogenized boundary data. Due to a boundary layer phenomenon, this homogenized
system depends in a non trivial way on the boundary. The analysis in [9]
answers a longstanding open problem, raised for instance in [4]


title:
Resonant hot charge-transfer excitations in fullerene-porphyrin
  complexes: a many-body Bethe-Salpeter study

abstract:
  We study within the many-body Green's function GW and Bethe-Salpeter
approaches the neutral singlet excitations of the zinctetraphenylporphyrin and
C70 fullerene donor-acceptor complex. The lowest transition is a
charge-transfer excitation between the donor and the acceptor with an energy in
excellent agreement with recent constrained density functional theory
calculations. Beyond the lowest charge-transfer state, of which the energy can
be determined with simple electrostatic models that we validate, the
Bethe-Salpeter approach provides the full excitation spectrum. We evidence the
existence of hot electron-hole states which are resonant in energy with the
lowest donor intramolecular excitation and show an hybrid intramolecular and
charge-transfer character, favouring the transition towards charge separation.
These findings support the recently proposed scenario for charge separation at
donor-acceptor interfaces through delocalized hot charge-transfer states.


title: Data Analysis on the High-Frequency Pollution Data Collected in India

abstract:
  Fine grained 1Hz Carbon Monoxide pollution data were collected on a busy road
in Hyderabad, India. In this paper we report the findings from analysing the
experimental data, in which it was found that the data were log-normally
distributed and nonlinear. The dominant frequencies at peak hours were caused
by the pattern of traffic flow.


title: Coded Splitting Tree Protocols

abstract:
  This paper presents a novel approach to multiple access control called coded
splitting tree protocol. The approach builds on the known tree splitting
protocols, code structure and successive interference cancellation (SIC).
Several instances of the tree splitting protocol are initiated, each instance
is terminated prematurely and subsequently iterated. The combined set of leaves
from all the tree instances can then be viewed as a graph code, which is
decodable using belief propagation. The main design problem is determining the
order of splitting, which enables successful decoding as early as possible.
Evaluations show that the proposed protocol provides considerable gains over
the standard tree splitting protocol applying SIC. The improvement comes at the
expense of an increased feedback and receiver complexity.


title:
Multilevel Tunnelling Systems and Fractal Clustering in the
  Low-Temperature Mixed Alkali-Silicate Glasses

abstract:
  The thermal and dielectric anomalies of window-type glasses at low
temperatures ($T<$ 1 K) are rather successfully explained by the two-level
systems (2LS) standard tunneling model (STM). However, the magnetic effects
discovered in the multisilicate glasses in recent times, magnetic effects in
the organic glasses and also some older data from mixed
(SiO$_2$)$_{1-x}$(K$_2$O)$_x$ and (SiO$_2$)$_{1-x}$(Na$_2$O)$_x$ glasses
indicate the need for a suitable extension of the 2LS-STM. We show that -- not
only for the magnetic effects, but already for the mixed glasses in the absence
of a field -- the right extension of the 2LS STM is provided by the (anomalous)
multilevel tunnelling systems (A-TS) proposed by one of us for multicomponent
amorphous solids. Though a secondary type of TS, different from the standard
2LS, was invoked long ago already, we clarify their physical origin and
mathematical description and show that their contribution considerably improves
the agreement with the experimental data.


title: Disk-Jet connection in outbursting Black Hole sources

abstract:
  We explored the `spectro - temporal' behaviour of outbursting Black Hole
sources in X-rays, at the time of jet ejections which are observed as radio
flares. The energy dependent evolution of the properties of all the sources
studied, shows that during the ejections the QPO frequencies `disappear' as
well as the disk (thermal) emission increases, implying the soft nature of the
spectrum. These results can be understood based on the TCAF model (Chakrabarti
& Titarchuk 1995), in the presence of magnetic field.


title:
Progr\`es r\'ecents sur les fonctions normales (d'apr\`es
  Green-Griffiths, Brosnan-Pearlstein, M. Saito, Schnell...)

abstract:
  Given a family of smooth complex projective varieties, the Hodge conjecture
predicts the algebraicity of the locus of Hodge classes. This was proven
unconditionnally by Cattani, Deligne and Kaplan in 1995. In a similar way,
conjectures on algebraic cycles have led Green and Griffiths to conjecture the
algebraicity of the zero locus of normal functions. This corresponds to a mixed
version of the theorem of Cattani, Deligne and Kaplan. This result has been
proven recently by Brosnan-Pearlstein, Kato-Nakayama-Usui, and Schnell building
on work of M. Saito. We will present some of the ideas around this theorem.


title: Reverse Berlekamp-Massey Decoding

abstract:
  We propose a new algorithm for decoding Reed-Solomon codes (up to half the
minimum distance) and for computing inverses in $F[x]/m(x)$. The proposed
algorithm is similar in spirit and structure to the Berlekamp-Massey algorithm,
but it works naturally for general $m(x)$.


title:
A novel particle tracking method with individual particle size
  measurement and its application to ordering in glassy hard sphere colloids

abstract:
  Particle tracking is a key to single-particle-level confocal microscopy
observation of colloidal suspensions, emulsions, and granular matter. The
conventional tracking method has not been able to provide accurate information
on the size of individual particle. Here we propose a novel method to localise
spherical particles of arbitrary relative sizes from either 2D or 3D (confocal)
images either in dilute or crowded environment. Moreover this method allows us
to estimate the size of each particle reliably. We use this method to analyse
local bond orientational ordering in a supercooled polydisperse colloidal
suspension as well as the heterogeneous crystallisation induced by a substrate.
For the former, we reveal non-trivial couplings of crystal-like bond
orientational order and local icosahedral order with the spatial distribution
of particle sizes: Crystal-like order tends to form in regions where very small
particles are depleted and the slightly smaller size of the central particle
stabilizes icosahedral order. For the latter, on the other hand, we found that
very small particles are expelled from crystals and accumulated on the growth
front of crystals. We emphasize that such information has not been accessible
by conventional tracking methods.


title: D-brane couplings and Generalised Geometry

abstract:
  The goal of this paper is to re-examine D-brane Ramond-Ramond field couplings
in the presence of a B-field. We will argue that the generalised geometry
induced on the world volume by the B-field results in an important but subtle
change on the coupling. In order to explain this, we use the language of
differential K-theory. The expression determining the coupling is then seen to
be a consequence of the Riemann-Roch theorem. Our key assertion is that the
appropriate Riemann-Roch theorem changes in the presence of the B-field. In
particular, the A-hat forms appearing in the theorem are now constructed using
the torsionful Levi-Civita connection associated to the generalised geometry.
As we shall see, the resulting expression not only agrees with recently
discovered local couplings on the D-brane worldvolume involving RR fields and
derivatives of the B-field, but also makes the coupling manifestly T-duality
invariant.


title:
Non-linear dynamics of a driven nanomechanical single electron
  transistor

abstract:
  We analyze the response of a nanomechanical resonator to an external drive
when it is also coupled to a single-electron transistor (SET). The interaction
between the SET electrons and the mechanical resonator depends on the amplitude
of the mechanical motion leading to a strongly non-linear response to the drive
which is similar to that of a Duffing oscillator. We show that the average
dynamics of the resonator is well-described by a simple effective model which
incorporates damping and frequency renormalization terms which are amplitude
dependent. We also find that for a certain range of parameters the system
displays interesting bistable dynamics in which noise arising from charge
fluctuations causes the resonator to switch slowly between different dynamical
states.


title:
Upper bound and shareability of quantum discord based on entropic
  uncertainty relations

abstract:
  By using the quantum-memory-assisted entropic uncertainty relation (EUR), we
derive a computable tight upper bound for quantum discord, which applies to an
arbitrary bipartite state. Detailed examples show that this upper bound is
tighter than other known bounds in a wide regime. Furthermore, we show that for
any tripartite pure state, the quantum-memory-assisted EUR imposes a constraint
on the shareability of quantum correlations among the constituent parties. This
conclusion amends the well accepted result that quantum discord is not
monogamous.


title: Generalized Calabi correspondence and complete spacelike surfaces

abstract:
  We construct a twin correspondence between graphs with prescribed mean
curvature in three-dimensional Riemannian Killing submersions and spacelike
graphs with prescribed mean curvature in three-dimensional Lorentzian Killing
submersions. Our duality extends the Calabi correspondence between minimal
graphs in the Euclidean space $\mathbb{R}^3$ and maximal graphs in the
Lorentz-Minkowski spacetime $\mathbb{L}^3$, by allowing arbitrary prescribed
mean curvature and bundle curvature. For instance, we transform the prescribed
mean curvature equation in $\mathbb{L}^3$ into the minimal surface equation in
the generalized Heisenberg space with prescribed bundle curvature. We present
several applications of the twin correspondence to the study of the moduli
space of complete spacelike surfaces in certain Lorentzian spacetimes.


title:
Topological edge states in the one-dimensional super-lattice
  Bose-Hubbard model

abstract:
  We analyze interacting ultra-cold bosonic atoms in a one-dimensional (1D)
super-lattice potential with alternating tunneling rates t_1 and t_2 and
inversion symmetry, which is the bosonic analogue of the Su-Schrieffer-Heeger
(SSH) model. A Z2 topological order parameter is introduced which is quantized
for the Mott insulating (MI) phases. Depending on the ratio t_1/t_2 the n=1/2
MI phase is topologically non-trivial, which results in many-body edge states
at open boundaries. In contrast to the SSH model the bosonic counterpart lacks
chiral symmetry and the edge states are no longer mid-gap. This leads to a
generalization of the bulk-edge correspondence, which we discuss in detail. The
edge states can be observed in cold atom experiments by creating a step in the
effective confining potential, e.g. by a second heavy atom species, which leads
to an interface between two MI regions with filling n=1 and n=1/2. Shape and
energy of the edge states as well as conditions for their occupation are
determined analytically in the strong coupling limit and in general by
density-matrix renormalization group (DMRG) simulations.


title:
Comment on "Linear and passive silicon optical isolator" in Scientific
  Reports 2, 674

abstract:
  Wang et al. [1] demonstrated different power transmission coefficients for
forward and backward propagation in simulation and experiment. From such a
demonstration, the central claim of their paper is that "the spatial inversion
symmetry breaking diode can construct an optical isolator in no conflict with
any reciprocal principle". Their claim contradicts the Lorentz reciprocity
theorem, from which it is well known that one cannot construct an isolator this
way.


title: Endoscopy and cohomology growth on U(3)

abstract:
  We apply the endoscopic classification of automorphic forms on U(3) to prove
a case of a conjecture of Sarnak and Xue on cohomology growth.


title:
Femtocell Architectures with Spectrum Sharing for Cellular Radio
  Networks

abstract:
  Femtocells are an emerging technology aimed at providing gains to both
network operators and end-users. These gains come at a cost of increased
interference, specifically the cross network interference between the macrocell
and femtocell networks. This interference is one of the main performance
limiting factors in allowing an underlaid femtocell network to share the
spectrum with the cellular network. To manage this interference, we first
propose a femtocell architecture that orthog- onally partitions the network
bandwidth between the macrocell and femtocell networks. This scheme eliminates
the cross network interference thus giving the femtocells more freedom over
their use of the spectrum. Specifically, no interference constraint is imposed
by the cellular network allowing femto users to transmit at a constant power on
randomly selected channels. Although simple, this scheme is enough to give
gains up to 200% in sum rate.
  We then propose a second architecture where both networks share the bandwidth
simultaneously. A femtocell power control scheme that relies on minimal
coordination with the macrocell base station is used in conjunction with an
interference sensing channel assignment mechanism. These two schemes together
yield sum rate gains up to 200%. We then develop a technique for macro users to
join a nearby femtocell and share a common chan- nel with a femtocell user
through the use of successive interfer- ence cancellation. By adding this
mechanism to the power control and channel assignment schemes, we show sum rate
gains over 300% and up to 90% power savings for macrocell users.


title:
Quantum magnetooscillations in the ac conductivity of disordered
  graphene

abstract:
  The dynamic conductivity \sigma(\omega) of graphene in the presence of
diagonal white noise disorder and quantizing magnetic field B is calculated. We
obtain analytic expressions for \sigma(\omega) in various parametric regimes
ranging from the quasiclassical Drude limit corresponding to strongly
overlapping Landau levels (LLs) to the extreme quantum limit where the
conductivity is determined by the optical selection rules of the clean
graphene. The nonequidistant LL spectrum of graphene renders its transport
characteristics quantitatively different from conventional 2D electron systems
with parabolic spectrum. Since the magnetooscillations in the semiclassical
density of states are anharmonic and are described by a quasi-continuum of
cyclotron frequencies, both the ac Shubnikov-de Haas oscillations and the
quantum corrections to \sigma(\omega) that survive to higher temperatures
manifest a slow beating on top of fast oscillations with the local
energy-dependent cyclotron frequency.Both types of quantum oscillations possess
nodes whose index scales as \omega^2. In the quantum regime of separated LLs,
we study both the cyclotron resonance transitions, which have a rich spectrum
due to the nonequidistant spectrum of LLs, and disorder-induced transitions
which violate the clean selection rules of graphene. We identify the strongest
disorder-induced transitions in recent magnetotransmission experiments. We also
compare the temperature- and chemical potential-dependence of \sigma(\omega) in
various frequency ranges from the dc limit allowing intra-LL transition only to
the universal high-frequency limit where the Landau quantization provides a
small B-dependent correction to the universal value of the interband
conductivity \sigma=e^2/4 \hbar of the clean graphene.


title: Uniqueness for an inviscid stochastic dyadic model on a tree

abstract:
  In this paper we prove that the lack of uniqueness for solutions of the tree
dyadic model of turbulence is overcome with the introduction of a suitable
noise. The uniqueness is a weak probabilistic uniqueness for all $l^2$-initial
conditions and is proven using a technique relying on the properties of the
$q$-matrix associated to a continuous time Markov chain.


title: The Maslov index in weak symplectic functional analysis

abstract:
  We recall the Chernoff-Marsden definition of weak symplectic structure and
give a rigorous treatment of the functional analysis and geometry of weak
symplectic Banach spaces. We define the Maslov index of a continuous path of
Fredholm pairs of Lagrangian subspaces in continuously varying Banach spaces.
We derive basic properties of this Maslov index and emphasize the new features
appearing.


title: How to specify an approximate numerical result

abstract:
  The Dirichlet forms methods, in order to represent errors and their
propagation, are particularly powerful in infinite dimensional problems such as
models involving stochastic analysis encountered in finance or physics, cf.
[5]. Now, coming back to the finite dimensional case, these methods give a new
light on the very classical concept of 'numerical approximation' and suggest
changes in the habits. We show that for some kinds of approximations only an
Ito-like second order differential calculus is relevant to describe and
propagate numerical errors through a mathematical model. We call these
situations strongly stochastic. The main point of this work is an argument
based on the arbitrary functions principle of Poincar\'e-Hopf showing that the
errors due to measurements with graduated instruments are strongly stochastic.
Eventually we discuss the consequences of this phenomenon on the specification
of an approximate numerical result.


title: The Parity of Directed Hamiltonian Cycles

abstract:
  We present a deterministic algorithm that given any directed graph on n
vertices computes the parity of its number of Hamiltonian cycles in O(1.619^n)
time and polynomial space. For bipartite graphs, we give a 1.5^n poly(n)
expected time algorithm. Our algorithms are based on a new combinatorial
formula for the number of Hamiltonian cycles modulo a positive integer.


title:
On the Semantics and Automated Deduction for PLFC, a Logic of
  Possibilistic Uncertainty and Fuzziness

abstract:
  Possibilistic logic is a well-known graded logic of uncertainty suitable to
reason under incomplete information and partially inconsistent knowledge, which
is built upon classical first order logic. There exists for Possibilistic logic
a proof procedure based on a refutation complete resolution-style calculus.
Recently, a syntactical extension of first order Possibilistic logic (called
PLFC) dealing with fuzzy constants and fuzzily restricted quantifiers has been
proposed. Our aim is to present steps towards both the formalization of PLFC
itself and an automated deduction system for it by (i) providing a formal
semantics; (ii) defining a sound resolution-style calculus by refutation; and
(iii) describing a first-order proof procedure for PLFC clauses based on (ii)
and on a novel notion of most general substitution of two literals in a
resolution step. In contrast to standard Possibilistic logic semantics,
truth-evaluation of formulas with fuzzy constants are many-valued instead of
boolean, and consequently an extended notion of possibilistic uncertainty is
also needed.


title:
Orbital-selective Mott transitions in a doped two-band Hubbard model
  with crystal field splitting

abstract:
  We investigate the effects of crystal field splitting in a doped two-band
Hubbard model with different bandwidths within dynamical mean-field theory
(DMFT), using a quantum Monte Carlo impurity solver. In addition to an
orbital-selective Mott phase (OSMP) of the narrow band, which is adiabatically
connected with the well-studied OSMP in the half-filled case without crystal
field splitting, we find, for sufficiently strong interaction and a suitable
crystal field, also an OSMP of the wide band. We establish the phase diagram
(in the absence of magnetic or orbital order) at moderate doping as a function
of interaction strength and crystal field splitting and show that also the
wide-band OSMP is associated with non-Fermi-liquid behavior in the case of
Ising type Hund rule couplings. Our numerical results are supplemented by
analytical strong-coupling studies of spin order and spectral functions at
integer filling.


title:
$CP$ phase from twisted Higgs vacuum expectation value in extra
  dimension

abstract:
  We propose a new mechanism for generating a CP phase via Higgs a vacuum
expectation value originating from geometry of an extra dimension. A twisted
boundary condition is the key to produce an extra-dimension
coordinate-dependent vacuum expectation value, which contains a CP phase degree
of freedom and can be a new source of a CP phase in higher-dimensional gauge
theories. As an illustrative example, we apply our mechanism to a
five-dimensional gauge theory with point interactions and show that our
mechanism can dynamically produce a nontrivial CP-violating phase with
electroweak symmetry breaking, even though the five-dimensional model does not
include any CP-violating phases of Yukawa couplings in the five-dimensional
Lagrangian because of a single generation of five-dimensional fermions. We
apply our mechanism to a model with point interactions, which has no source of
CP-violating phases in the couplings of the higher-dimensional action, and show
that a nontrivial CP phase dynamically appears.


title:
Manipulating freely diffusing single 20-nm particles in an Anti-Brownian
  Electrokinetic Trap (ABELtrap)

abstract:
  Conformational changes of individual fluorescently labeled proteins can be
followed in solution using a confocal microscope. Two fluorophores attached to
selected domains of the protein report fluctuating conformations. Based on
F\"orster resonance energy transfer (FRET) between these fluorophores on a
single protein, sequential distance changes between the dyes provide the real
time trajectories of protein conformations. However, observation times are
limited for freely diffusing biomolecules by Brownian motion through the
confocal detection volume. A. E. Cohen and W. E. Moerner have invented and
built microfluidic devices with 4 electrodes for an Anti-Brownian
Electrokinetic Trap (ABELtrap). Here we present an ABELtrap based on a laser
focus pattern generated by a pair of acousto-optical beam deflectors and
controlled by a programmable FPGA chip. Fluorescent 20-nm beads in solution
were used to mimic freely diffusing large proteins like solubilized FoF1-ATP
synthase. The ABELtrap could hold these nanobeads for about 10 seconds at the
given position. Thereby, observation times of a single particle were increased
by a factor of 1000.


title: Bond diluted anisotropic quantum Heisenberg model

abstract:
  Effects of the bond dilution on the critical temperatures, phase diagrams and
the magnetization behaviors of the isotropic and anisotropic quantum Heisenberg
model have been investigated in detail. For the isotropic case, bond
percolation threshold values have been determined for several numbers of two
(2D) and three (3D) dimensional lattices. In order to investigate the effect of
the anisotropy in the exchange interaction on the results obtained for the
isotropic model, a detailed investigation has been made on a honeycomb lattice.
Some interesting results, such as second order reentrant phenomena in the phase
diagrams have been found.


title:
GAUFRE: a tool for an automated determination of atmospheric parameters
  from spectroscopy

abstract:
  We present an automated tool for measuring atmospheric parameters (T_eff,
log(g), [Fe/H]) for F-G-K dwarf and giant stars. The tool, called GAUFRE, is
written in C++ and composed of several routines: GAUFRE-RV measures radial
velocity from spectra via cross-correlation against a synthetic template,
GAUFRE-EW measures atmospheric parameters through the classic line-by-line
technique and GAUFRE-CHI2 performs a chi^2 fitting to a library of synthetic
spectra. A set of F-G-K stars extensively studied in the literature were used
as a benchmark for the program: their high signal-to-noise and high resolution
spectra were analysed by using GAUFRE and results were compared with those
present in literature. The tool is also implemented in order to perform the
spectral analysis after fixing the surface gravity (log(g)) to the accurate
value provided by asteroseismology. A set of CoRoT stars, belonging to LRc01
and LRa01 fields was used for first testing the performances and the behaviour
of the program when using the seismic log(g).


title: Design, Implementation, and Operation of a Mobile Honeypot

abstract:
  Mobile nodes, in particular smartphones are one of the most relevant devices
in the current Internet in terms of quantity and economic impact. There is the
common believe that those devices are of special interest for attackers due to
their limited resources and the serious data they store. On the other hand, the
mobile regime is a very lively network environment, which misses the (limited)
ground truth we have in commonly connected Internet nodes. In this paper we
argue for a simple long-term measurement infrastructure that allows for (1) the
analysis of unsolicited traffic to and from mobile devices and (2) fair
comparison with wired Internet access. We introduce the design and
implementation of a mobile honeypot, which is deployed on standard hardware for
more than 1.5 years. Two independent groups developed the same concept for the
system. We also present preliminary measurement results.


title: Sensitivity of the LHC to Kaluza-Klein gluon in two b-jets decay channel

abstract:
  We study a possibility of observation of the first Kaluza-Klein (KK)
excitation of gluon in a warped extra dimension model at the LHC. In our
analysis, we adopt the KK gluon mass and the b-quark coupling to the KK gluon
as model parameters and study the sensitivity of the ATLAS experiment to
observe the KK gluon through the two $b$-jets channel.


title: The varying w spread spectrum effect for radio interferometric imaging

abstract:
  We study the impact of the spread spectrum effect in radio interferometry on
the quality of image reconstruction. This spread spectrum effect will be
induced by the wide field-of-view of forthcoming radio interferometric
telescopes. The resulting chirp modulation improves the quality of
reconstructed interferometric images by increasing the incoherence of the
measurement and sparsity dictionaries. We extend previous studies of this
effect to consider the more realistic setting where the chirp modulation varies
for each visibility measurement made by the telescope. In these first
preliminary results, we show that for this setting the quality of
reconstruction improves significantly over the case without chirp modulation
and achieves almost the reconstruction quality of the case of maximal, constant
chirp modulation.


title: Excitation spectrum of a toroidal spin-1 Bose-Einstein condensate

abstract:
  We calculate analytically the Bogoliubov excitation spectrum of a toroidal
spin-1 Bose-Einstein condensate that is subjected to a homogeneous magnetic
field and contains vortices with arbitrary winding numbers in the $m_F=\pm 1$
components of the hyperfine spin. We show that a rotonlike spectrum can be
obtained, or an initially stable condensate can be made unstable by adjusting
the magnitude of the magnetic field or the trapping frequencies. The structure
of the instabilities can be analyzed by measuring the particle densities of the
spin components. We confirm the validity of the analytical calculations by
numerical simulations.


title: Exotic hadrons and hadron-hadron interactions in heavy ion collisions

abstract:
  We discuss the exotic hadron structure and hadron-hadron interactions in view
of heavy ion collisions. First, we demonstrate that a hadronic molecule with a
large spatial size would be produced more abundantly in the coalescence model
compared with the statistical model result. Secondly, we constrain the
Lambda-Lambda interaction by using the recently measured Lambda-Lambda
correlation data. We find that the RHIC-STAR data favor the Lambda-Lambda
scattering parameters in the range 1/a_0 <= -0.8 fm^{-1} and r_{eff} >= 3 fm.


title: Embedding pointed curves in K3 surfaces

abstract:
  We analyze morphisms from pointed curves to K3 surfaces with a distinguished
rational curve, such that the marked points are taken to the rational curve,
perhaps with specified cross ratios. This builds on work of Mukai and others
characterizing embeddings of curves into K3 surfaces via non-abelian
Brill-Noether theory. Our study leads naturally to enumerative problems, which
we solve in several specific cases. These have applications to the existence of
sections of del Pezzo fibrations with prescribed invariants.


title:
CIJET: a program for computation of jet cross sections induced by quark
  contact interactions at hadron colliders

abstract:
  We describe CIJET1.0, a Fortran program that aiming for the calculation of
single-inclusive jet or dijet production cross sections induced by quark
contact interactions from new physics at hadron colliders, up to
next-to-leading order in QCD. It covers various contact interactions with
different chiral and color structures. The code is designed in a way that could
be used for fast calculations with arbitrary parton distribution functions
based on interpolations of the QCD coupling constant and parton distribution
functions.


title: Cosmic ray acceleration and escape from supernova remnants

abstract:
  Galactic cosmic ray (CR) acceleration to the knee in the spectrum at a few
PeV is only possible if the magnetic field ahead of a supernova remnant (SNR)
shock is strongly amplified by CR escaping the SNR. A model formulated in terms
of the electric charge carried by escaping CR predicts the maximum CR energy
and the energy spectrum of CR released into the surrounding medium. We find
that historical SNR such as Cas A, Tycho and Kepler may be expanding too slowly
to accelerate CR to the knee at the present time.


title: Decentralized Minimum-Cost Repair for Distributed Storage Systems

abstract:
  There have been emerging lots of applications for distributed storage systems
e.g., those in wireless sensor networks or cloud storage. Since storage nodes
in wireless sensor networks have limited battery, it is valuable to find a
repair scheme with optimal transmission costs (e.g., energy). The optimal-cost
repair has been recently investigated in a centralized way. However a
centralized control mechanism may not be available or is very expensive. For
the scenarios, it is interesting to study optimal-cost repair in a
decentralized setup. We formulate the optimal-cost repair as convex
optimization problems for the network with convex transmission costs. Then we
use primal and dual decomposition approaches to decouple the problem into
subproblems to be solved locally. Thus, each surviving node, collaborating with
other nodes, can minimize its transmission cost such that the global cost is
minimized. We further study the optimality and convergence of the algorithms.
Finally, we discuss the code construction and determine the field size for
finding feasible network codes in our approaches.


title:
Electronic structure and absorption spectrum of biexciton obtained by
  using exciton basis

abstract:
  We approach the biexciton Schr\"{o}dinger equation not through the
free-carrier basis as usually done, but through the free-exciton basis,
exciton-exciton interactions being treated according to the recently developed
composite boson many-body formalism which allows an exact handling of carrier
exchange between excitons, as induced by the Pauli exclusion principle. We
numerically solve the resulting biexciton Schr\"{o}dinger equation with the
exciton levels restricted to the ground state and we derive the biexciton
ground state as well as the bound and unbound excited states as a function of
hole-to-electron mass ratio. The biexciton ground-state energy we find, agrees
reasonably well with variational results. Next, we use the obtained biexciton
wave functions to calculate optical absorption in the presence of a dilute
exciton gas in quantum well. We find a small asymmetric peak with a
characteristic low-energy tail, identified with the biexciton ground state, and
a set of large peaks associated with biexciton unbound states, i.e.,
exciton-exciton scattering states.


title: More examples of discrete co-compact group actions

abstract:
  We survey some results and questions about free actions of infinite groups on
products of spheres and euclidean spaces, and give some new co-compact
examples.


title:
Characterization of a scintillating fibers read by MPPC detectors
  trigger prototype for the AMADEUS experiment

abstract:
  Multi-Pixel Photon Counters (MPPC) consist of hundreds of micro silicon
Avalanche PhotoDiodes (APD) working in Geiger mode. The high gain and the low
noise, typical of these devices, together with their good performance in
magnetic field, make them ideal readout detectors for scintillating fibers as
trigger detectors in particle and nuclear physics experiments like AMADEUS,
where such detectors are planned to be used to trigger on charged kaon pairs.
In order to investigate the detection efficiency of such a system, a prototype
setup consisting of 32, 1 mm diameter scintillating fibers, arranged in two
double layers of 16 fibers each, and read out by 64 MPPCs with an ad-hoc built
readout electronics, was tested at the piM-1 line of the Paul Scherrer
Institute (PSI) in Villigen, Switzerland. The detection efficiency and the
trigger capability were measured on a beam containing protons, electrons, muons
and pions with a momentum of 440 MeV/c. The measured average efficiency for
protons for a double layer of scintillating fibers (96.9 +/-1.2%) represents a
guarantee of the good performance of this system as a trigger for the AMADEUS
experiment.


title:
Another Unsung Lowell Observatory Achievement: The First Infrared
  Observation of a Comet

abstract:
  Carl Lampland was the first to observe a comet in the infrared, a feat little
known today because he failed to formally publish his data. I have retrieved
the radiometry of this comet, C/1927 X1 (Skjellerup-Maristany), taken in broad
daylight, from Lampland's logbook in the Lowell Observatory archives, and
present a preliminary reduction of it here. There are similarities between
Lampland's pioneering achievement and V. M. Slipher's discovery of the
redshifts of the spiral nebulae (and thus, arguably, the expansion of the
Universe). Each astronomer used state-of-the-art instrumentation, received rave
reviews at American Astronomical Society meetings where their novel data were
presented, and suffered under-recognition in ensuing decades. A common thread
in these poor outcomes was their lackadaisical approach to formal publication -
in Slipher's case, publishing in internal or secondary outlets, and in
Lampland's case, not publishing at all.


title: Quartic del Pezzo surfaces over function fields of curves

abstract:
  We classify quartic del Pezzo surface fibrations over the projective line via
numerical invariants, giving explicit examples for small values of the
invariants. For generic such fibrations, we describe explicitly the geometry of
spaces of sections to the fibration, and mappings to the intermediate Jacobian
of the total space. We exhibit examples where these are birational, which has
applications to arithmetic questions, especially over finite fields.


title:
An efficient Fisher-scoring algorithm for fitting latent class models
  with individual covariates

abstract:
  For latent class models where the class weights depend on individual
covariates, we derive a simple expression for computing the score vector and a
convenient hybrid between the observed and the expected information matrices
which is always positive defnite. These ingredients, combined with a
maximization algorithm based on line search, provides an efficient tool for
maximum likelihood estimation. In particular, the proposed algorithm is such
that the log-likelihood never decreases from one step to the next and the
choice of starting values is not crucial for reaching a local maximum. We show
how the same algorithm may be used for numerical investigation of the effect of
model mispecifications. An application to education transmission is used as an
illustration.


title:
Asymptotic properties of the hyperbolic metric on the sphere with three
  conical singularities

abstract:
  The explicit formula for the hyperbolic metric
$\lambda_{\alpha,\,\beta,\,\gamma}(z)|dz|$ on the thrice-punctured sphere
$\mathbb{P} \backslash \{z_1,\,z_2,\,z_3\}$ with singularities of order
$\alpha,\,\beta,\,\gamma \leq 1$ with $\alpha+\beta+\gamma>2$ at
$z_1,\,z_2,\,z_3$ was given by Kraus, Roth and Sugawa in \cite{Rothhyper}. In
this paper we investigate the asymptotic properties of the higher order
derivatives of $\lambda_{\alpha,\,\beta,\,\gamma}(z)$ near the singularity and
give some more precise description for the asymptotic behavior.


title: Aspects of local to global results

abstract:
  We establish local to global results for a function space which is larger
than the well known BMO space, and was also introduced by John and Nirenberg.


title: Network Inference with Hidden Units

abstract:
  We derive learning rules for finding the connections between units in
stochastic dynamical networks from the recorded history of a ``visible'' subset
of the units. We consider two models. In both of them, the visible units are
binary and stochastic. In one model the ``hidden'' units are continuous-valued,
with sigmoidal activation functions, and in the other they are binary and
stochastic like the visible ones. We derive exact learning rules for both
cases. For the stochastic case, performing the exact calculation requires, in
general, repeated summations over an number of configurations that grows
exponentially with the size of the system and the data length, which is not
feasible for large systems. We derive a mean field theory, based on a
factorized ansatz for the distribution of hidden-unit states, which offers an
attractive alternative for large systems. We present the results of some
numerical calculations that illustrate key features of the two models and, for
the stochastic case, the exact and approximate calculations.


title: Learning and inference in a nonequilibrium Ising model with hidden nodes

abstract:
  We study inference and reconstruction of couplings in a partially observed
kinetic Ising model. With hidden spins, calculating the likelihood of a
sequence of observed spin configurations requires performing a trace over the
configurations of the hidden ones. This, as we show, can be represented as a
path integral. Using this representation, we demonstrate that systematic
approximate inference and learning rules can be derived using dynamical
mean-field theory. Although naive mean-field theory leads to an unstable
learning rule, taking into account Gaussian corrections allows learning the
couplings involving hidden nodes. It also improves learning of the couplings
between the observed nodes compared to when hidden nodes are ignored.


title:
A higher-order singularity subtraction technique for the discretization
  of singular integral operators on curved surfaces

abstract:
  This note is about promoting singularity subtraction as a helpful tool in the
discretization of singular integral operators on curved surfaces. Singular and
nearly singular kernels are expanded in series whose terms are integrated on
parametrically rectangular regions using high-order product integration,
thereby reducing the need for spatial adaptivity and precomputed weights. A
simple scheme is presented and an application to the interior Dirichlet Laplace
problem on some tori gives around ten digit accurate results using only two
expansion terms and a modest programming- and computational effort.


title: Collective thermoregulation in bee clusters

abstract:
  Swarming is an essential part of honeybee behaviour, wherein thousands of
bees cling onto each other to form a dense cluster that may be exposed to the
environment for several days. This cluster has the ability to maintain its core
temperature actively without a central controller, and raises the question of
how this is achieved. We suggest that the swarm cluster is akin to an active
porous structure whose functional requirement is to adjust to outside
conditions by varying its porosity to control its core temperature. Using a
continuum model that takes the form of a set of advection-diffusion equations
for heat transfer in a mobile porous medium, we show that the equalization of
an effective "behavioural pressure", which propagates information about the
ambient temperature through variations in density, leads to effective
thermoregulation. Our model extends and generalizes previous models by focusing
the question of mechanism on the form and role of the behavioural pressure, and
allows us to explain the vertical asymmetry of the cluster (as a consequence of
buoyancy driven flows), the ability of the cluster to overpack at low ambient
temperatures without breaking up at high ambient temperatures, and the relative
insensitivity to large variations in the ambient temperature. Finally, our
theory makes testable hypotheses for how the cluster bee density should respond
to externally imposed temperature inhomogeneities, and suggests strategies for
biomimetic thermoregulation.


title:
Towards a definition of the Quantum Ergodic Hierarchy: Kolmogorov and
  Bernoulli systems

abstract:
  In this paper we translate the two higher levels of the Ergodic Hierarchy
[1], the Kolmogorov level and the Bernoulli level, to quantum language.
Moreover, this paper can be considered as the second part of [2]. As in paper
[2], we consider the formalism where the states are positive functionals on the
algebra of observables and we use the properties of the Wigner transform [3].
We illustrate the physical relevance of the Quantum Ergodic Hierarchy with two
emblematic examples of the literature: the Casati-Prosen model [4], [5] and the
kicked rotator [6], [7], [8].


title: On the absence of percolation in a line-segment based lilypond model

abstract:
  We prove the absence of percolation in a directed Poisson-based random
geometric graph with out-degree $1$. This graph is an anisotropic variant of a
line-segment based lilypond model obtained from an asymmetric growth protocol,
which has been proposed by Daley and Last. In order to exclude backward
percolation, one may proceed as in the lilypond model of growing disks and
apply the mass-transport principle. Concerning the proof of the absence of
forward percolation, we present a novel argument that is based on the method of
sprinkling.


title:
Four Kahler Moduli Stabilisation in type IIB Orientifolds with K3-fibred
  Calabi-Yau threefold compactification

abstract:
  We present a concrete and consistent procedure to generate one kind of
non-perturbative superpotential, including the gaugino condensation corrections
and poly-instanton corrections, in type IIB orientifold compactification with
four Kahler Moduli. Then we use this kind of superpotential as well as the
alphaprime-corrections to Kahler potential to fix all of the four Kahler moduli
on a general Calabi-Yau manifold with typical K3-fibred volume form. In our
construction, the considered Calabi-Yau threefolds are K3-fibred and admit at
least one del Pezzo surface and one W-surface. Searching through all existing
four dimensional reflexive lattice polytopes, we find 23 of them fulfilling all
the requirements.


title: On p-adic density of rational points on K3 surfaces

abstract:
  We show that, for every prime number p, there exist infinitely many K3
surfaces over Q whose rational points lie dense in the space of p-adic points.
We also show that there exists a K3 surface over Q whose rational points lie
dense in the space of p-adic points for all prime numbers p with p congruent to
3 mod 4 and greater than 7.


title: Eta --> 3 pi and quark masses

abstract:
  In recent years, the decay eta --> 3 pi has received considerable attention
from experimental and theoretical side. It is of particular theoretical
interest because it allows for the determination of (m_u - m_d). In addition,
for many years now theory has had difficulties to understand the slope of the
neutral channel Dalitz plot distribution, which in contrast is very well
measured. I discuss here the relation of the decay to the masses of the light
quarks and review a number of theoretical and experimental works that are
concerned with these questions.


title: On the effects of scaling on the performance of Ipopt

abstract:
  The open-source nonlinear solver Ipopt (https://projects.coin-or.org/Ipopt)
is a widely-used software package for the solution of large-scale non-linear
optimization problems. At its heart, it employs a third-party linear solver to
solve a series of sparse symmetric indefinite systems. The speed, accuracy and
robustness of the chosen linear solver is critical to the overall performance
of Ipopt. In some instances, it can be beneficial to scale the linear system
before it is solved.
  In this paper, different scaling algorithms are employed within Ipopt with a
new linear solver HSL_MA97 from the HSL mathematical software library
(http://www.hsl.rl.ac.uk). An extensive collection of problems from the CUTEr
test set (http://www.cuter.rl.ac.uk) is used to illustrate the effects of
scaling.


title: Noether's problem for abelian extensions of cyclic $p$-groups

abstract:
  Let $K$ be a field and $G$ be a finite group. Let $G$ act on the rational
function field $K(x(g):g\in G)$ by $K$ automorphisms defined by $g\cdot
x(h)=x(gh)$ for any $g,h\in G$. Denote by $K(G)$ the fixed field $K(x(g):g\in
G)^G$. Noether's problem then asks whether $K(G)$ is rational (i.e., purely
transcendental) over $K$. The first main result of this article is that $K(G)$
is rational over $K$ for a certain class of $p$-groups having an abelian
subgoup of index $p$. The second main result is that $K(G)$ is rational over
$K$ for any group of order $p^5$ or $p^6$ ($p$ is an odd prime) having an
abelian normal subgroup such that its quotient group is cyclic. (In both
theorems we assume that if $char K\ne p$ then $K$ contains a primitive $p^e$-th
root of unity, where $p^e$ is the exponent of $G$.)


title:
Lya escape from z~0.03 star-forming galaxies: the dominant role of
  outflows

abstract:
  The usefulness of H I Lyman-alpha photons for characterizing star formation
in the distant universe is limited by our understanding of the astrophysical
processes that regulate their escape from galaxies. These processes can only be
observed in detail out to a few x100 Mpc. Past nearby (z<0.3) spectroscopic
studies are based on small samples and/or kinematically unresolved data. Taking
advantage of the high sensitivity of HST's COS, we observed the Lyman-alpha
lines of 20 H-alpha-selected galaxies located at <z>=0.03. The galaxies cover a
broad range of luminosity, oxygen abundance, and reddening. In this paper, we
characterize the observed Lyman-alpha lines and establish correlations with
fundamental galaxy properties. We find seven emitters. These host young (\le 10
Myr) stellar populations, have rest-frame equivalent widths in the range 1-12
\AA, and have Lyman-alpha escape fractions within the COS aperture in the range
1-12 %. One emitter has a double-peaked Lyman-alpha with peaks 370 km/s apart
and a stronger blue peak. Excluding this object, the emitters have Lyman-alpha
and O I \lambda 1302 offsets from H-alpha in agreement with expanding shell
models and LBG observations. The absorbers have offsets that are almost
consistent with a static medium. We find no one-to-one correspondence between
Lyman-alpha emission and age, metallicity, or reddening. Thus, we confirm that
Lyman-alpha is enhanced by outflows and is regulated by the dust and H I column
density surrounding the hot stars.


title: Slipher, galaxies, and cosmological velocity fields

abstract:
  By 1917, V.M. Slipher had singlehandedly established a tendency for 'spiral
nebulae' to be redshifted (21 out of 25 cases). From a modern perspective, it
could seem surprising that the expansion of the universe was not announced at
this point. Examination of Slipher's papers shows that he reached a more subtle
conclusion: the identification of cosmological peculiar velocities, including
the bulk motion of the Milky Way, leading to a beautiful argument in favour of
nebulae as distant stellar systems. Nevertheless, Slipher's data actually
contain evidence at >8sigma for a positive mean velocity, even after
subtracting the dipole owing to the motion of the observer. In 1929, Hubble
estimated distances for a sample of no greater depth, using redshifts due
almost entirely to Slipher. Hubble's distances were flawed in two distinct
ways: in addition to an incorrect absolute calibration, the largest distances
were systematically under-estimated. Nevertheless, he claimed the detection of
a linear distance-redshift relation. Statistically, the evidence for such a
correlation is less strong than the simple evidence for a positive mean
velocity in Hubble's sample. Comparison with modern data shows that a sample of
more than twice Hubble's depth would generally be required in order to reveal
clearly the global linear expansion in the face of the 'noise' from peculiar
velocities. When the theoretical context of the time is examined, the role of
the de Sitter model and its prediction of a linear distance-redshift relation
looms large. A number of searches for this relation were performed prior to
Hubble over the period 1924-1928, with a similar degree of success. All were
based on the velocities measured by Slipher, whose work from a Century ago
stands out both for the precision of his measurements and for the subtle
clarity of the arguments he employed to draw correct conclusions from them.


title:
Gibbs-Markov-Young structures with (stretched) exponential tail for
  partially hyperbolic attractors

abstract:
  We study partially hyperbolic sets $K$ on a Riemannian manifold $M$ whose
tangent space splits as $T_K M=E^{cu}\oplus E^{s}$, for which the
center-unstable direction $E^{cu}$ is non-uniformly expanding on some local
unstable disk. We prove that the (stretched) exponential decay of recurrence
times for an induced scheme can be deduced under the assumption of (stretched)
exponential decay of the time that typical points need to achieve some uniform
expanding in the center-unstable direction. This extends a result by Alves and
Pinheiro to the (stretched) exponential case. As an application of our main
result we obtain (stretched) exponential decay of correlations and
exponentially large deviations for a class of partially hyperbolic
diffeomorphisms introduced by Alves, Bonatti and Viana.


title:
The exotic heat-trace asymptotics of a regular-singular operator
  revisited

abstract:
  We discuss the exotic properties of the heat-trace asymptotics for a
regular-singular operator with general boundary conditions at the singular end,
as observed by Falomir, Muschietti, Pisani and Seeley as well as by Kirsten,
Loya and Park. We explain how their results alternatively follow from the
general heat kernel construction by Mooers, a natural question that has not
been addressed yet, as the latter work did not elaborate explicitly on the
singular structure of the heat trace expansion beyond the statement of
non-polyhomogeneity of the heat kernel.


title: Gamma limits and U-statistics on the Poisson space

abstract:
  Using Stein's method and the Malliavin calculus of variations, we derive
explicit estimates for the Gamma approximation of functionals of a Poisson
measure. In particular, conditions are presented under which the distribution
of a sequence of multiple Wiener-Ito stochastic integrals with respect to a
compensated Poisson measure converges to a Gamma distribution. As an
illustration, we present a quantitative version and a non-central extension of
a classical theorem by de Jong in the case of degenerate U-statistics of order
two. Several multidimensional extensions, in particular allowing for mixed or
hybrid limit theorems, are also provided.


title:
Heat-trace asymptotics for edge Laplacians with algebraic boundary
  conditions

abstract:
  We consider the Hodge Laplacian on manifolds with incomplete edge
singularities, with infinite dimensional von Neumann spaces and intricate
elliptic boundary value theory. We single out a class of its algebraic
self-adjoint extensions. Our microlocal heat kernel construction for algebraic
boundary conditions is guided by the method of signaling solutions by Mooers,
though crucial arguments in the conical case obviously do not carry over to the
setup of edges. We then establish the heat kernel asymptotics for the algebraic
extensions of the Hodge operator on edges, and elaborate on the exotic
phenomena in the heat trace asymptotics which appear in case of a
non-Friedrichs extension.


title: Probing dynamical spacetimes with gravitational waves

abstract:
  This decade will see the first direct detections of gravitational waves by
observatories such as Advanced LIGO and Virgo. Among the prime sources are
coalescences of binary neutron stars and black holes, which are ideal probes of
dynamical spacetime. This will herald a new era in the empirical study of
gravitation. For the first time, we will have access to the genuinely
strong-field dynamics, where low-energy imprints of quantum gravity may well
show up. In addition, we will be able to search for effects which might only
make their presence known at large distance scales, such as the ones that
gravitational waves must traverse in going from source to observer. Finally,
coalescing binaries can be used as cosmic distance markers, to study the
large-scale structure and evolution of the Universe.
  With the advanced detector era fast approaching, concrete data analysis
algorithms are being developed to look for deviations from general relativity
in signals from coalescing binaries, taking into account the noisy detector
output as well as the expectation that most sources will be near the threshold
of detectability. Similarly, several practical methods have been proposed to
use them for cosmology. We explain the state of the art, including the
obstacles that still need to be overcome in order to make optimal use of the
signals that will be detected. Although the emphasis will be on
second-generation observatories, we will also discuss some of the science that
could be done with future third-generation ground-based facilities such as
Einstein Telescope, as well as with space-based detectors.


title: A note on scalable frames

abstract:
  We study the problem of determining whether a given frame is scalable, and
when it is, understanding the set of all possible scalings. We show that for
most frames this is a relatively simple task in that the frame is either not
scalable or is scalable in a unique way, and to find this scaling we just have
to solve a linear system. We also provide some insight into the set of all
scalings when there is not a unique scaling. In particular, we show that this
set is a convex polytope whose vertices correspond to minimal scalings.


title: Multiparameter resolvent trace expansion for elliptic boundary problems

abstract:
  We establish multiparameter resolvent trace expansions for elliptic boundary
value problems, polyhomogeneous both in the resolvent and the auxiliary
parameter. The present analysis is rooted in the joint project with Matthias
Lesch on multiparameter resolvent trace expansions on revolution surfaces with
applications to regularized sums of zeta-determinants.


title: Dismantling Hubble's Legacy?

abstract:
  Edwin Hubble is famous for a number of discoveries that are well known to
amateur and professional astronomers, students and the general public. The
origins of these discoveries are examined and it is demonstrated that, in each
case, a great deal of supporting evidence was already in place. In some cases
the discoveries had either already been made, or competing versions were not
adopted for complex scientific and sociological reasons.


title:
Charge transfer and interfacial magnetism in (LaNiO3)n/(LaMnO3)2
  superlattices

abstract:
  (LaNiO3)n/(LaMnO3)2 superlattices were grown using ozone-assisted molecular
beam epitaxy, where LaNiO3 is a paramagnetic metal and LaMnO3 is an
antiferromagnetic insulator. The superlattices exhibit excellent crystallinity
and interfacial roughness of less than 1 unit cell. X-ray spectroscopy and
dichroism measurements indicate that electrons are transferred from the LaMnO3
to the LaNiO3, inducing magnetism in LaNiO3. Magnetotransport measurements
reveal a transition from metallic to insulating behavior as the LaNiO3 layer
thickness is reduced from 5 unit cells to 2 unit cells and suggest a modulated
magnetic structure within LaNiO3.


title:
Disconnected glass-glass transitions and swallowtail bifurcations in
  microscopic spin models with facilitated dynamics

abstract:
  It has been recently established that heterogeneous bootstrap percolation and
related dynamic facilitation models exhibit a complex hierarchy of continuous
and discontinuous transitions depending on lattice connectivity and kinetic
constraints. Here the range of the previously observed phase diagram topologies
and higher-order singularities is extended to disconnected glass-glass
transitions and to cusp and swallowtail bifurcations (which can be generic and
degenerate). The phase diagram and the order parameter for two different types
of spin mixtures are analytically determined and an experimental realization of
the new predictions emerging in our approach is suggested.


title:
Non-commutative space time of the relativistic equations with a Coulomb
  potential using Seiberg-Witten map

abstract:
  We present an important contribution to the non-commutative approach to the
hydrogen atom to deal with lamb shift corrections. This can be done by studying
the Klein-Gordon and Dirac equations in a non-commutative space-time up to
first-order of the non-commutativity parameter using the Seiberg-Witten maps.
We thus find the non-commutative modification of the energy levels and by
comparing with the the current experimental results on the Lamb shift of the 2P
level to extract a bound on the parameter of non-commutativity, we show that
the fundamental length ($\sqrt{\Theta}$) is compatible with the value of the
electroweak length scale ($l$). Phenomenologically, this effectively confirms
the presence of gravity at this level.


title: Pairing Fluctuation AC Conductivity of Disordered Thin Films

abstract:
  We study temperature $T$ and frequency $\omega$ dependence of the in-plane
fluctuation conductivity of a disordered superconducting film above the
critical temperature. Our calculation is based on the nonlinear sigma model
within the Keldysh technique. The fluctuation contributions of different
physical origin are found and analyzed in a wide frequency range. In the
low-frequency range, $\omega\ll T$, we reproduce the known leading terms and
find additional subleading ones in the Aslamazov-Larkin and the Maki-Thompson
contributions to the ac conductivity. We also calculate the density of states
ac correction. In the dc case these contributions logarithmically depend on the
Ginzburg-Landau rate and are considerably smaller that the leading ones.
However, in the ac case an external finite-frequency electromagnetic field
strongly suppresses the known Alsamazov-Larkin and Maki-Thompson ac
contributions, while the corresponding new terms and the density of states
contribution are weakly suppressed and therefore become relevant at finite
frequencies.


title:
The biharmonic heat operator on edge manifolds and non-linear fourth
  order equations

abstract:
  We construct the biharmonic heat kernel for a suitable self-adjoint extension
of the bi-Laplacian on a manifold with incomplete edge singularities. We employ
a microlocal description of the biharmonic heat kernel to establish mapping
properties of the corresponding biharmonic heat operator on certain Banach
spaces. This yields short time existence for a class of semi-linear equations
of fourth order, including for example the Cahn-Hilliard equation. We also
obtain asymptotics of the solutions near the edge singularity.


title:
The Effect of Magnetic Fields and Ambipolar Diffusion on Core Mass
  Functions

abstract:
  Linear analysis of the formation of protostellar cores in planar magnetic
interstellar clouds yields information about length scales involved in star
formation. Combining these length scales with various distributions of other
environmental variables, (i.e., column density and mass-to-flux ratio) and
applying Monte Carlo methods allow us to produce synthetic core mass functions
(CMFs) for different environmental conditions. Our analysis shows that the
shape of the CMF is directly dependent on the physical conditions of the cloud.
Specifically, magnetic fields act to broaden the mass function and develop a
high-mass tail while ambipolar diffusion will truncate this high-mass tail. In
addition, we analyze the effect of small number statistics on the shape and
high-mass slope of the synthetic CMFs. We find that observed core mass
functions are severely statistically limited, which has a profound effect on
the derived slope for the high-mass tail.


title:
Decorations on Geometric Crystals and Monomial Realizations of Crystal
  Bases for Classical Groups

abstract:
  We shall describe explicitly the decoration functions for certain decorated
geometric crystals of classical groups and we shall show that they are
represented in terms of monomial realizations of crystal bases.


title:
Majorana neutrino mass matrices with three texture zeros and the sterile
  neutrino

abstract:
  As a consequence of the LSND anomaly and other hints of an eV scale sterile
neutrino from particle physics and cosmology, the neutrino sector of the
standard model of particle physics has to be extended and the smallest
extension is the (3+1) model, i.e. three active neutrinos plus one sterile one.
In this work we study the neutrino mass matrix $M_\nu$ with three texture zeros
in the (3+1) model, assuming all the neutrino states are of Majorana type. With
the mass hierarchy between the active and sterile neutrinos as well as the
smallness of the reactor neutrino mixing and active-sterile mixing, the
analytical expressions can be greatly simplified. We systematically examine all
the 120 texture zeros, via both analytical and numerical analysis, and find
that the 100 textures with zeros in the fourth column and row of $M_\nu$ can
hardly be compatible with experiments whereas 19 of the other 20 are feasible.
We can foresee that the active neutrino masses are required to be around 0.01
eV and the next generation neutrinoless double beta decay experiments are
promising to test these textures. Many other phenomenologically meaningful
predictions are also obtained. All the CP conserving (3+1) textures with three
zeros are excluded by experiments.


title:
Probing exotic Higgs sectors from the precise measurement of Higgs boson
  couplings

abstract:
  We study coupling constants of the standard model like Higgs boson with the
gauge bosons $hZZ$ and $hWW$ and fermions $hf\bar{f}$ in the general Higgs
sector which contains higher isospin representations with arbitrary
hypercharge. In Higgs sectors with exotic Higgs representations, the $hZZ$ and
$hWW$ coupling constants can be larger than those in the standard model. We
calculate deviations in the Higgs boson couplings from standard model values in
the model with a real or complex triplet field, the Georgi-Machacek model and
the model with a septet scalar field. We also study deviations in the event
rates of $h\to ZZ^*$, $h\to WW^*$, $h\to \gamma\gamma$, $h\to b\bar{b}$ and
$h\to \tau\tau$ channels.


title:
Genericity in equivariant dynamical systems and equivariant Fuller index
  theory

abstract:
  We define a notion of equivariant non-degeneracy of $G$-maps to introduce the
class of equivariantly non-degenerate flows on smooth compact manifolds with
compact Lie group action. We prove genericity of this class and use this result
to construct an equivariant version of the Fuller index, which detects group
orbits of periodic orbits of the flow, distinguished by their isotropy.


title: Feedback spectroscopy of atomic resonances

abstract:
  We propose a non-standard spectroscopic technique that uses a feedback
control of the input probe field parameters to significantly increase the
contrast and quality factor of the atomic resonances. In particular, to apply
this technique for the dark resonances we sustain the fluorescence intensity at
a fixed constant level while taking the spectra process. Our method, unlike the
conventional spectroscopy, does not require an optically dense medium.
Theoretical analysis has been experimentally confirmed in spectroscopy of
atomic rubidium vapor in which a considerable increase (one-two order) of the
resonance amplitude and a 3-fold decrease of the width have been observed in
optically thin medium. As a result, the quality factor of the dark resonance is
increased by two orders of magnitude and its contrast reaches a record level of
260%. Different schemes, including magneto-optical Hanle spectroscopy and
Doppler-free spectroscopy have also showed a performance enhancement by using
the proposed technique.


title: The Casimir Effect for Arbitrary Optically Anisotropic Materials

abstract:
  We extend a fictitious-cavity approach to calculate the Casimir effect for
cavities bounded by flat anisotropic materials. We calculate the energy, force
and torque in terms only of the optical coefficients of the walls of the
cavity. We calculate the Casimir effect at zero and finite temperature for some
simple systems. As a non trivial application, we calculate the torque between a
semi-infinite anisotropic plate and an anisotropic film. We study the effect of
the film thickness in the torque and find an optimal width that maximizes the
torque.


title: The Nuclear Spectroscopic Telescope Array (NuSTAR) Mission

abstract:
  The Nuclear Spectroscopic Telescope Array (NuSTAR) mission, launched on 13
June 2012, is the first focusing high-energy X-ray telescope in orbit. NuSTAR
operates in the band from 3 -- 79 keV, extending the sensitivity of focusing
far beyond the ~10 keV high-energy cutoff achieved by all previous X-ray
satellites. The inherently low-background associated with concentrating the
X-ray light enables NuSTAR to probe the hard X-ray sky with a more than
one-hundred-fold improvement in sensitivity over the collimated or coded-mask
instruments that have operated in this bandpass. Using its unprecedented
combination of sensitivity, spatial and spectral resolution, NuSTAR will pursue
five primary scientific objectives, and will also undertake a broad program of
targeted observations. The observatory consists of two co-aligned
grazing-incidence X-ray telescopes pointed at celestial targets by a three-axis
stabilized spacecraft. Deployed into a 600 km, near-circular, 6degree
inclination orbit, the Observatory has now completed commissioning, and is
performing consistent with pre-launch expectations. NuSTAR is now executing its
primary science mission, and with an expected orbit lifetime of ten years, we
anticipate proposing a guest investigator program, to begin in Fall 2014.


title: Axiomatic Description of Lefschetz Type Equivariant Homotopy Invariants

abstract:
  We describe generators of universal Lefschetz groups consisting of self-maps
of equivariant 1-spheres. This allows to formulate a normalization axiom which,
together with the usual axioms, determines an equivariant Lefschetz number
uniquely. We apply this technique to identify the fixed orbit detecting
equivariant Lefschetz number of Chorny with the fixed orbit index of Dzedzej.


title: Center Phase Transition from Fundamentally Charged Matter Propagators

abstract:
  The center phase transition at non-vanishing temperatures is investigated in
Landau gauge Quantum Chromodynamics (QCD) and scalar QCD. For each theory novel
order parameters for the transition are introduced. The matter-gluon vertex
which occurs in the Dyson-Schwinger equations of the propagators has to be
modeled in contemporary studies. It is found that the nature of the phase
transition depends strongly on the detailed structure of this vertex. Our
investigation motivates a precise determination of the matter-gluon vertex at
non-vanishing temperatures.


title:
Second order QCD corrections to jet production at hadron colliders: the
  all-gluon contribution

abstract:
  We report the calculation of next-to-next-to-leading order (NNLO) QCD
corrections in the purely gluonic channel to dijet production and related
observables at hadron colliders. Our result represents the first NNLO
calculation of a massless jet observable at hadron colliders, and opens the
path towards precision QCD phenomenology with the LHC.


title:
Tailorable Stimulated Brillouin Scattering in Nanoscale Silicon
  Waveguides

abstract:
  While nanoscale modal confinement radically enhances a variety of nonlinear
light-matter interactions within silicon waveguides, traveling-wave stimulated
Brillouin scattering nonlinearities have never been observed in silicon
nanophotonics. Through a new class of hybrid photonic-phononic waveguides, we
demonstrate tailorable traveling-wave forward stimulated Brillouin scattering
in nanophotonic silicon waveguides for the first time, yielding 3000 times
stronger forward SBS responses than any previous waveguide system. Simulations
reveal that a coherent combination of electrostrictive forces and radiation
pressures are responsible for greatly enhanced photon-phonon coupling at
nano-scales. Highly tailorable Brillouin nonlinearities are produced by
engineering the structure of a membrane-suspended waveguide to yield Brillouin
resonances from 1 to 18 GHz through high quality-factor (>1000) phonon modes.
Such wideband and tailorable stimulated Brillouin scattering in silicon
photonics could enable practical realization of on-chip slow-light devices,
RF-photonic filtering and sensing, and ultra-narrow-band laser sources by using
standard semiconductor fabrication and CMOS technologies.


title: Infrared Issues in Graviton Higgs Theory

abstract:
  We investigate the one-loop infrared behaviour of the effective potential in
minimally coupled graviton Higgs theory in Minkowski background. The
gravitational analogue of one loop Coleman Weinberg effective potential turns
out to be complex, the imaginary part indicating an infrared instability. This
instability is traced to a tachyonic pole in the graviton propagator for
constant Higgs fields. Physical implications of this behaviour are studied. We
also discuss physical differences between gauge theories coupled to Higgs
fields and graviton Higgs theory.


title: Thermally driven spin and charge currents in thin NiFe2O4/Pt films

abstract:
  We present results on the longitudinal spin Seebeck effect (LSSE) shown by
semiconducting ferrimagnetic NiFe2O4/Pt films from room temperature down to 50K
base temperature. To the best of our knowledge, this is the first observation
of spin caloric effect in NiFe2O4 thin films. The temperature dependence of the
conductivity has been studied in parallel to obtain information about the
origin of the electric potentials detected at the Pt coverage of the
ferrimagnet in order to distinguish the LSSE from the anomalous Nernst effect.
Furthermore, the dependence of the LSSE on temperature gradients as well as the
influence of an external magnetic field direction is investigated.


title:
Subexponential parameterized algorithm for computing the cutwidth of a
  semi-complete digraph

abstract:
  Cutwidth of a digraph is a width measure introduced by Chudnovsky, Fradkin,
and Seymour [4] in connection with development of a structural theory for
tournaments, or more generally, for semi-complete digraphs. In this paper we
provide an algorithm with running time 2^{O(\sqrt{k log k})} * n^{O(1)} that
tests whether the cutwidth of a given n-vertex semi-complete digraph is at most
k, improving upon the currently fastest algorithm of the second author [18]
that works in 2^{O(k)} * n^2 time. As a byproduct, we obtain a new algorithm
for Feedback Arc Set in tournaments (FAST) with running time 2^{c\sqrt{k}} *
n^{O(1)}, where c = 2\pi / \sqrt(3)*\ln(2) <= 5.24, that is simpler than the
algorithms of Feige [9] and of Karpinski and Schudy[16], both also working in
2^{O(\sqrt{k})} * n^{O(1)} time. Our techniques can be applied also to other
layout problems on semi-complete digraphs. We show that the Optimal Linear
Arrangement problem, a close relative of Feedback Arc Set, can be solved in
2^{O(k^{1/3} \sqrt{\log k})} * n^{O(1)} time, where k is the target cost of the
ordering.


title:
An optimal extension theorem for 1-forms and the Lipman-Zariski
  conjecture

abstract:
  Let $X$ be a normal variety. Assume that for some reduced divisor $D \subset
X$, logarithmic 1-forms defined on the snc locus of $(X, D)$ extend to a log
resolution $\tilde X \to X$ as logarithmic differential forms. We prove that
then the Lipman-Zariski conjecture holds for $X$. This result applies in
particular if $X$ has log canonical singularities.
  Furthermore, we give an example of a 2-form defined on the smooth locus of a
three-dimensional log canonical pair $(X, \emptyset)$ which acquires a
logarithmic pole along an exceptional divisor of discrepancy zero, thereby
improving on a similar example of Greb, Kebekus, Kov\'acs and Peternell.


title: Random product of substitutions with the same incidence matrix

abstract:
  Any infinite sequence of substitutions with the same matrix of the Pisot type
defines a symbolic dynamical system which is minimal. We prove that, to any
such sequence, we can associate a compact set (Rauzy fractal) by projection of
the stepped line associated with an element of the symbolic system on the
contracting space of the matrix. We show that this Rauzy fractal depends
continuously on the sequence of substitutions, and investigate some of its
properties; in some cases, this construction gives a geometric model for the
symbolic dynamical system.


title: Worlds and Systems in Early Modern Europe

abstract:
  The structure, formation and evolution of the Universe were some of the main
topics in the scientific debates during the 17th and 18th centuries in Europe.
They involved novel ideas on the cosmos, which concerned aspects that were not
considered before so emphatically, and which were fundamental for the future
development of astronomy. This paper presents a brief account of several
milestones within the gradual definition of pre-galactic systems: the
historical role of the tradition of the plurality of worlds, the significance
of Descartes, and the introduction of the Milky Way and nebulae in the
discourses around the cosmic structure.


title:
A Herschel Survey of the [N II] 205 micron Line in Local Luminous
  Infrared Galaxies --- The [N II] 205 micron Emission as a Star Formation Rate
  Indicator

abstract:
  We present, for the first time, a statistical study of [N II] 205 mciron line
emission for a large sample of local luminous infrared galaxies using Herschel
Spectral and Photometric Imaging Receiver Fourier Transform Spectrometer (SPIRE
FTS) data. For our sample of galaxies, we investigate the correlation between
the [N II] luminosity (LNII) and the total infrared luminosity (LIR), as well
as the dependence of LNII/LIR ratio on LIR, far infrared colors (IRAS
$f_{60}/f_{100}$) and the [O III] 88 micron to [N II] luminosity ratio. We find
that LNII correlates almost linearly with LIR for non AGN galaxies (all having
$L_{IR} < 10^{12} L_solar$) in our sample, which implies that LNII can serve as
a SFR tracer which is particularly useful for high redshift galaxies which will
be observed with forthcoming submm spectroscopic facilities such as the Atacama
Large Millimeter/submillimeter Array. Our analysis shows that the deviation
from the mean LNII-LIR relation correlates with tracers of the ionization
parameter, which suggests the scatter in this relation is mainly due to the
variations in the hardness, and/or ionization parameter, of the ambient
galactic UV field among the sources in our sample.


title: The nonlinear magnetoinductive dimer

abstract:
  We examine a nonlinear magnetoinductive dimer and compute its linear and
nonlinear symmetric, antisymmetric and asymmetric modes in closed-form, in the
rotating-wave approximation. A linear stability analysis of these modes reveals
that the asymmetric mode is always stable, for any allowed value of the
coupling parameter and for both, hard and soft nonlinearity. A numerical
computation of the dimer dynamics reveals a magnetic energy selftrapping whose
threshold increases for increasing dimer coupling.


title: The phase transition in inhomogeneous random intersection graphs

abstract:
  We analyze the component evolution in inhomogeneous random intersection
graphs when the average degree is close to 1. As the average degree increases,
the size of the largest component in the random intersection graph goes through
a phase transition. We give bounds on the size of the largest components before
and after this transition. We also prove that the largest component after the
transition is unique. These results are similar to the phase transition in
Erd\H{o}s-R\'enyi random graphs; one notable difference is that the jump in the
size of the largest component varies in size depending on the parameters of the
random intersection graph.


title: Incremental, Inductive Coverability

abstract:
  We give an incremental, inductive (IC3) procedure to check coverability of
well-structured transition systems. Our procedure generalizes the IC3 procedure
for safety verification that has been successfully applied in finite-state
hardware verification to infinite-state well-structured transition systems. We
show that our procedure is sound, complete, and terminating for downward-finite
well-structured transition systems---where each state has a finite number of
states below it---a class that contains extensions of Petri nets, broadcast
protocols, and lossy channel systems.
  We have implemented our algorithm for checking coverability of Petri nets. We
describe how the algorithm can be efficiently implemented without the use of
SMT solvers. Our experiments on standard Petri net benchmarks show that IC3 is
competitive with state-of-the-art implementations for coverability based on
symbolic backward analysis or expand-enlarge-and-check algorithms both in time
taken and space usage.


title: The trisector curve is transcendental

abstract:
  We show that the distance trisector curve is not an algebraic curve, as was
conjectured in the founding paper by T. Asano, J. Matousek and T. Tokoyama:
"The distance trisector curve", Advances in Math., 212, 338-360 (2007).


title:
Kohn-Sham density functional theory for quantum wires in arbitrary
  correlation regimes

abstract:
  We use the exact strong-interaction limit of the Hohenberg-Kohn energy
density functional to construct an approximation for the exchange-correlation
term of the Kohn-Sham approach. The resulting exchange-correlation potential is
able to capture the features of the strongly-correlated regime without breaking
the spin or any other symmetry. In particular, it shows "bumps" (or barriers)
that give rise to charge localization at low densities and that are a
well-known key feature of the exact Kohn-Sham potential for strongly-correlated
systems. Here we illustrate this approach for the study of both weakly and
strongly correlated model quantum wires, comparing our results with those
obtained with the configuration interaction method and with the usual Kohn-Sham
local density approximation.


title: High Temperature QCD

abstract:
  I review recent results on QCD at high temperature on a lattice. Steady
progress with staggered fermions and Wilson type fermions allow a quantitative
description of hot QCD whose accuracy in many cases parallels that of zero
temperature studies. Simulations with chiral quarks are coming of age, and
togheter with theoretical developments trigger interesting developments in the
analysis of the critical region. Issues related with the universality class of
the chiral transition and the fate of the axial symmetry are discussed in the
light of new numerical and analytical results. Transport coefficients and
analysis of bottomonium spectra compare well with results of heavy ion
collisions at RHIC and LHC. Model field theories, lattice simulations and high
temperature systematic expansions help building a coherent picture of the high
temperature phase of QCD. The (strongly coupled) Quark Gluon Plasma is heavily
investigated, and asserts its role as an inspiring theoretical laboratory.


title:
Numerical Simulations of Solar Chromospheric Jets Associated with
  Emerging Flux

abstract:
  We studied the acceleration mechanisms of chromospheric jets associated with
emerging flux using a two dimensional magnetohydrodynamic (MHD) simulation. We
found that slow mode shock waves generated by magnetic reconnection in the
chromosphere and the photosphere play key roles in the acceleration mechanisms
of chromospheric jets. An important parameter is the height of magnetic
reconnection. When magnetic reconnection takes place near the photosphere, the
reconnection out- flow collides with the region where the plasma beta is much
larger than unity. Then the plasma moves along a magnetic field. This motion
generates a slow mode wave. The slow mode wave develops to a strong slow shock
as it propagates upward. When the slow shock crosses the transition region, the
transition region is lifted up. As a result, we obtain a chromospheric jet as
the lifted transition region. When magnetic reconnection takes place in the
upper chromosphere, the chromospheric plasma is accelerated due to the
combination of the Lorentz force and the whip-like motion of magnetic field. We
found that the chromospheric plasma is further accelerated through the
interaction between the transition region (steep density gradient) and a slow
shock emanating from the reconnection point. This is an MHD effect which has
not been discussed before.


title: Continuity of Extremal Elements in Uniformly Convex Spaces

abstract:
  In this paper, we study the problem of finding the extremal element for a
linear functional over a uniformly convex Banach space. We show that a unique
extremal element exists and depends continuously on the linear functional, and
vice versa. Using this, we simplify and clarify Ryabykh's proof that for any
linear functional on a uniformly convex Bergman space with kernel in a certain
Hardy space, the extremal functional belongs to the corresponding Hardy space.


title:
A general maximum principle for mean-field stochastic differential
  equations with jump processes

abstract:
  In this paper, we investigate the optimal control problems for stochastic
differential equations (SDEs in short) of mean-field type with jump processes.
The control variable is allowed to enter into both diffusion and jump terms.
This stochastic maximum principle differs from the classical one in the sense
that here the first-order adjoint equation turns out to be a linear mean-field
backward SDE with jumps, while the second-order adjoint equation remains the
same as in Tang and Li's stochastic maximum principle [32]. Finally, for the
reader's convenience we give some analysis results used in this paper in the
Appendix.


title: On the Problem of Electromagnetic-Field Quantization

abstract:
  We consider the radiation field operators in a cavity with varying dielectric
medium in terms of solutions of Heisenberg's equations of motion for the most
general one-dimensional quadratic Hamiltonian. Explicit solutions of these
equations are obtained and applications to the radiation field quantization,
including randomly varying media, are briefly discussed.