title:
Radiative feedback and the low efficiency of galaxy formation in
  low-mass haloes at high redshift

abstract:
  Any successful model of galaxy formation needs to explain the low rate of
star formation in the small progenitors of today's galaxies. This inefficiency
is necessary for reproducing the low stellar-to-virial mass fractions,
suggested by current abundance matching models. A possible driver of this low
efficiency is the radiation pressure exerted by ionizing photons from massive
stars. The effect of radiation pressure in cosmological, zoom-in galaxy
formation simulations is modeled as a non-thermal pressure that acts only in
dense and optically thick star-forming regions. We also include photoionization
and photoheating by massive stars. The full photoionization of hydrogen reduces
the radiative cooling in the $10^{4-4.5}$ K regime. The main effect of
radiation pressure is to regulate and limit the high values of gas density and
the amount of gas available for star formation. This maintains a low star
formation rate of $\sim 1 \ {\rm M_\odot} \ {\rm yr}^{-1}$ in halos with masses
about $10^{11} \ {M_\odot}$ at $z\simeq3$. Infrared trapping and
photoionization/photoheating processes are secondary effects in this mass
range. The galaxies residing in these low-mass halos contain only $\sim0.6\%$
of the total virial mass in stars, roughly consistent with abundance matching.
Radiative feedback maintains an extended galaxy with a rising circular velocity
profile.


title:
Dissipative work, Clausius inequality, and microscopic reversibility for
  open Hamiltonian systems

abstract:
  We derive a microscopic expression of the Clausius inequality for isothermal
open systems within the fundamental Hamiltonian dynamics. We also show the
positivity of the dissipative work, which is a path integral generalization of
the so-called relative entropy for the probability functionals of time forward-
and reversed- trajectories.


title:
Collisionally inhomogeneous Bose-Einstein condensates with binary and
  three body interactions in a bichromatic optical lattice

abstract:
  We study the impact of collisionally inhomogeneous binary and three body
interaction on Bose-Einstein condensates (BECs) of a dilute gas in a
bichromatic optical lattice. We observe that the localized matter wave density
which decreases after the introduction of repulsive spatially inhomogeneous
binary interaction can be sustained by the addition of constant attractive
binary strength in equal amounts. If the balance between repulsive spatially
inhomogeneous binary interaction and constant attractive interaction is
disturbed, the condensates collapse. Reversal of sign of interaction ensures
the longevity of BECs. Any imbalance between attractive spatially inhomogeneous
interaction and constant repulsive interaction either results in the collapse
of BECs or in the occupation of the condensates at multiple sites on either
sides. The introduction of a weak three body interaction in phase with the
binary interaction increases the extent of instability of BECs. Reversing the
sign of spatially inhomogeneous and constant interaction enhances the stability
of BECs.


title: Full counting statistics of a single-molecular quantum dot

abstract:
  We investigate the full counting statistics of a single quantum dot strongly
coupled to a local phonon and weakly tunnel-connected to two metallic
electrodes. By employing the generalized nonequilibrium Green function method
and the Lang-Firsov transformation, we derive an explicit analytical formula
for the cumulant generating function, which makes one to be able to identify
distinctly the elastic and inelastic contributions to the current and
zero-frequency shot noise. We find that at zero temperature, the inelastic
effect causes upward steps in the current and downward jumps in the noise at
the bias voltages corresponding to the opening of the inelastic channels, which
are ascribed to the vibration-induced complex dependences of electronic
self-energies on the energy and bias voltage. More interestingly, the Fano
factor exhibits oscillatory behavior with increasing bias voltage and its
minimum value is observed to be smaller than one half.


title: Chiral Dynamics and S-wave Contributions in Semileptonic B decays

abstract:
  The flavor-changing neutral current process $b\to s l^+l^-$ is beneficial to
testing the standard model and hunting for new physics scenarios. In exclusive
decay modes like $B\to K^*(892)l^+l^-$, the S-wave effects may not be
negligible and thus have to be reliably estimated. Using the scalar form
factors derived from dispersion relations in two channels and matched to Chiral
Perturbation Theory, we investigate the S-wave contributions in $\bar B^0\to
K^- \pi^+ l^+l^-$, with the $K\pi$ invariant mass lying in the vicinity of the
mass of $K^*(892)$, and the $B_s\to K^- K^+ l^+l^-$ with $m_{KK}\sim m_{\phi}$.
We find that the S-wave will modify differential decay widths by about 10% in
the process of $\bar B^0\to K^- \pi^+ l^+l^-$ and about 5% in $B_s\to K^- K^+
l^+l^-$. A forward-backward asymmetry for the charged kaon in the final state
arises from the interference between the S-wave and P-wave contributions. The
measurement of this asymmetry offers a new way to determine the variation of
the $K\pi$ S-wave phase versus the invariant mass.


title: Invariance of reduced density matrices under Local Unitary operations

abstract:
  We derive necessary and sufficient conditions for local unitary (LU)
operators to leave invariant the set of 1-qubit reduced density matrices of a
multi-qubit state. LU operators with this property are tensor products of {\it
cyclic local} operators, and form a subgroup, the centralizer subgroup of the
set of reduced states, of the Lie group $SU(2)^{\otimes n}$. The dimension of
this subgroup depends on the type of reduced density matrices. It is maximum
when all reduced states are maximally mixed and it is minimum when none of them
is maximally mixed. For any given multi-qubit state, pure or mixed, we compute
the LU operators that fix the corresponding reduced density matrices and
determine the equivalence class of the given state.


title:
A planar ion trap chip with integrated structures for an adjustable
  magnetic field gradient

abstract:
  We present the design, fabrication, and characterization of a segmented
surface ion trap with integrated current carrying structures. The latter
produce a spatially varying magnetic field necessary for magnetic gradient
induced coupling between ionic effective spins. We demonstrate trapping of
strings of 172Yb+ ions, characterize the performance of the trap and map
magnetic fields by radio frequency-optical double resonance spectroscopy. In
addition, we apply and characterize the magnetic gradient and demonstrate
individual addressing in a string of three ions using RF radiation.


title:
A method for quantifying the Gamma Ray Burst "bias". Application in the
  redshift range 0-1.1

abstract:
  Long Gamma Ray Bursts (LGRBs) are related to the final stages of evolution of
massive stars. As such, they should follow the star formation rate (SFR) of
galaxies. We can use them to probe for star-forming galaxies (SFGs) in the
distant universe following this assumption. The relation between the rate of
LGRBs in a given galaxy and its SFR (that we call the LGRB "bias") may be
complex, as we have indications that the LGRB hosts are not perfect analogues
to the general population of SFGs. In this work, we try to quantify the
dependence of the LGRB bias on physical parameters of their host galaxy such as
the SFR or the stellar mass. We propose an empirical method based on the
comparison of stellar mass functions (and SFR distributions) of LGRB hosts and
of SFGs in order to find how the bias depends on the stellar mass or the SFR.
By applying this method to a sample of LGRB hosts at redshifts lower than 1.1,
where the properties of SFGs are well established, and where the properties of
LGRB host galaxies can be deduced from observations (for stellar masses larger
than 10**9.25 Msun and SFR larger than 1.8 Msun / yr), we find that the LGRB
bias depends on both the stellar mass and SFR. We find that the bias decreases
with the SFR, i.e. we see no preference for highly SFGs, once taken into
account the larger number of massive stars in galaxies with larger SFR. We do
not find any trend with the specific star formation rate (SSFR) but the
dynamical range in SSFR in our study is narrow. Although through an indirect
method, we relate these trends to a possible decrease of the LGRBs rate / SFR
ratio with the metallicity. The method we propose suggests trends that may be
useful to constrain models of LGRB progenitors, showing a clear decrease of the
LGRB bias with the metallicity. This is promising for the future as the number
of LGRB hosts studied will increase.


title: WoodTouch, a new interaction interface for wooden furniture

abstract:
  If wood has been with us since time immemorial, being part of our
environment, housing and tools, now wood has gain momentum, as it is clear that
wood improves our life style. Because of the healthiness, resistance, ecology
and comfort, wood is important for all of us, no matter what our life style is.
WOODTOUCH Project aims to open a completely new market for furniture and
interior design companies, enabling touch interaction between the user and
wooden furniture surfaces. Why not switch on or dim the lights touching a
wooden table? Why not turn on the heating system? Why not use wood as a touch
sensitive surface for domotic control? The furniture designed with this novel
technology, offers a wooden outer image and has different touch sensitive areas
over the ones the user is able to control all sorts of electric appliances
touching over a wooden surface.


title: Wireless sensor network technology for moisture monitoring of wood

abstract:
  Leaks represent a very important hazard for the buildings and they can affect
all sorts of building materials and specially wood due to its hygroscopic
properties. Excessive moisture content can affect in a negative way building
processes such as the installation of wooden floors or the use of wood as a
structural material. Moisture meters can provide prompt and non-destructive
determination of wood moisture, and as such are among the most useful tools
available to wood products manufacturers and scientists. However, a continuous
monitoring system is needed in order to avoid excessive moisture content which
can damage wooden floors as well as structural wood. Data and procedures are
presented in order to develop a suitable monitoring tool based on wireless
sensor networks to provide an electronic tool of active security both for the
installation of wooden floors and for the proper maintenance of existent
buildings which have a timber structure.


title: Production of K mesons in exclusive $B_c$ decays

abstract:
  The paper is devoted to investigation of $K$ mesons production in exclusive
$B_{c}$ decays $B_{c} \to \psi^{(')}K^{+}K^{-}\pi^{+}$ and $B_{c} \to
\psi^{(')}K^{+}\pi^{+}\pi^{-}$. In the framework of resonance approximation we
obtain theoretical predictions for branching fractions of these decays and
present distributions over different kinematical variables.


title: Charm production in association with W and Z at the LHC

abstract:
  The production of charm quark jets in association with electroweak gauge
bosons at the LHC can be used as a tool to constrain quark parton distribution
functions. Motivated by recent measurements at the LHC, we calculate cross
sections for W/Z +c, comparing these to W/Z+jet, for various PDF sets. The
cross-section differences can be understood in terms of the different
underlying PDFs, with the strange quark distribution being particularly
important for W +c production. We discuss appropriately defined ratios and
comment on how the measurements at the LHC can be used to extract information
on the strange and charm content of the proton at high scales.


title:
ESR of the quasi-two-dimensional antiferromagnet with a triangular
  lattice CuCrO2

abstract:
  Using electron-spin-resonance (ESR) technique we investigate the magnetic
structure of CuCrO2, quasi-two-dimensional antiferromagnet with weakly
distorted triangular lattice. Resonance frequencies and the excitation
conditions in CuCrO2 at low temperatures are well described in the frame of
cycloidal spin structure, defined by two susceptibilities parallel and
perpendicular to the spin plane and by a biaxial crystal-field anisotropy. In
agreement with the calculations, the character of the eigenmodes changes
drastically at the spin-flop transition. The splitting of the observed modes
can be well attributed to the resonances from different domains. The domain
structure in CuCrO2 can be controlled by annealing of the sample in magnetic
field.


title: Heterogeneous nucleation on a completely wettable substrate

abstract:
  It is widely believed that heterogeneous nucleation occurs without an
activation process when the surface is completely wettable. In this report, we
review our previous work [J.Chem.Phys {\bf 134}, 234709 (2011)] to show that
the critical nucleus (droplet) can exist and the activation process may be
observable. In fact, a critical nucleus and a free energy barrier always exist
if the surface potential or the disjoining pressure allows for the first-order
pre-wetting transition on a completely wettable substrate where the contact
angle is zero. Furthermore, the critical nucleus changes character from the
critical nucleus of surface phase transition below bulk coexistence
(undersaturation) to the critical nucleus of bulk heterogeneous nucleation
above the coexistence (oversaturation) when it crosses the coexistence. In this
paper the morphology and work of formation of a critical nucleus on a
completely-wettable substrate are re-examined to point out the possibility of
observing a critical droplet on a completely wettable substrate.


title: Modeling the emergence of a new language: Naming Game with hybridization

abstract:
  In recent times, the research field of language dynamics has focused on the
investigation of language evolution, dividing the work in three evolutive
steps, according to the level of complexity: lexicon, categories and grammar.
The Naming Game is a simple model capable of accounting for the emergence of a
lexicon, intended as the set of words through which objects are named. We
introduce a stochastic modification of the Naming Game model with the aim of
characterizing the emergence of a new language as the result of the interaction
of agents. We fix the initial phase by splitting the population in two sets
speaking either language A or B. Whenever the result of the interaction of two
individuals results in an agent able to speak both A and B, we introduce a
finite probability that this state turns into a new idiom C, so to mimic a sort
of hybridization process. We study the system in the space of parameters
defining the interaction, and show that the proposed model displays a rich
variety of behaviours, despite the simple mean field topology of interactions.


title: Patterned deposition at moving contact lines

abstract:
  When a simple or complex liquid recedes from a smooth solid substrate it
often leaves a homogeneous or structured deposit behind. In the case of a
receding non-volatile pure liquid the deposit might be a liquid film or an
arrangement of droplets depending on the receding speed of the meniscus and the
wetting properties of the system. For complex liquids with volatile components
as, e.g., polymer solutions and particle or surfactant suspensions, the deposit
might be a homogeneous or structured layer of solute - with structures ranging
from line patterns that can be orthogonal or parallel to the receding contact
line via hexagonal or square arrangements of drops to complicated hierarchical
structures. We review a number of recent experiments and modelling approaches
with a particular focus on mesoscopic hydrodynamic long-wave models. The
conclusion highlights open question and speculates about future developments.


title:
Massive double compact object mergers: gravitational wave sources and
  r-process-element production sites

abstract:
  With our galactic evolutionary code that contains a detailed intermediate
mass and massive binary population model, we study the temporal evolution of
the galactic population of double neutron star binaries, mixed systems with a
neutron star and black hole component and double black hole binaries. We
compute the merger rates of these relativistic binaries and we translate them
into LIGO II detection rates. We demonstrate that accounting for the
uncertainties in the relation 'initial mass-final mass' predicted by massive
close binary evolution and due to the possible effect of large stellar wind
mass loss during the luminous blue variable phase of a star with initial mass
larger than 30-40 Mo and during the red supergiant phase of a star with initial
mass smaller than 30-40 Mo when such a star is a binary component, the double
black hole merger rate may be very small, contrary to predictions made by other
groups. Hydrodynamic computations of r-process chemical yields ejected during
the relativistic binary merger process have recently become available. With our
galactic code that includes binaries it is then straightforward to calculate
the temporal galactic evolution of the r-process elements ejected by these
mergers. We conclude that except for the earliest evolutionary phase of the
Galaxy (~the first 100 Myr) double compact star mergers may be the major
production sites of r-process elements and it is probable that the mixed
systems dominate this production over double neutron star binary mergers.


title: Nonabelianization of Higgs bundles

abstract:
  The character varieties of representations of a surface group into the Lie
groups SL(m,H), SO(2m,H) and Sp(m,m) have a holomorphic description in terms of
the moduli space of Higgs bundles. We show that the fibres of the integrable
system in these cases are not abelian varieties, but are instead moduli spaces
of rank 2 bundles on a spectral curve, satisfying natural stability conditions.


title:
Distribution of the roots of the equations $Z(t)=0$, $Z'(t)=0$ in the
  theory of the Riemann zeta-function

abstract:
  Let the symbols $\{\gamma\},\ \{t_0\};\ t_0\not=\gamma$ denote the sequences
of the roots of the equations $$Z(t)=0,\quad \text{and}\qquad Z'(t)=0,$$
respectively, and $$m(t_0)=\min\{\gamma"-t_0,t_0-\gamma'\},\quad
Q(t_0)=\max\{\gamma"-t_0,t_0-\gamma'\},\quad \gamma'<t_0<\gamma",$$ where
$\gamma',\gamma"$ are the neighboring zeroes. We have proved the following in
this paper: on the Riemann hypothesis we have
$$\frac{Q(t_0)}{m(t_0)}<t_0\ln^2t_0\ln_2t_0\ln_3t_0,\quad t_0\to\infty.$$ This
paper is the English version of the paper of ref. \cite{5}.


title:
Auctioning based Coordinated TV White Space Spectrum Sharing for Home
  Networks

abstract:
  The idea of having the geolocation database monitor the secondary use of TV
white space (TVWS) spectrum and assist in coordinating the secondary usage is
gaining ground. Considering the home networking use case, we leverage the
geolocation database for interference-aware coordinated TVWS sharing among
secondary users (home networks) using {\em short-term auctions}, thereby
realize a dynamic secondary market. To enable this auctioning based coordinated
TVWS sharing framework, we propose an enhanced {\em market-driven TVWS spectrum
access model}. For the short-term auctions, we propose an online multi-unit,
iterative truthful mechanism called VERUM that takes into consideration
spatially heterogeneous spectrum availability, an inherent characteristic in
the TVWS context. We prove that VERUM is truthful (i.e., the best strategy for
every bidder is to bid based on its true valuation) and is also efficient in
that it allocates spectrum to users who value it the most. Evaluation results
from scenarios with real home distributions in urban and dense-urban
environments and using realistic TVWS spectrum availability maps show that
VERUM performs close to optimal allocation in terms of revenue for the
coordinating spectrum manager. Comparison with two existing efficient and
truthful multi-unit spectrum auction schemes, VERITAS and SATYA, shows that
VERUM fares better in terms of revenue, spectrum utilisation and percentage of
winning bidders in diverse conditions. Taking all of the above together, VERUM
can be seen to offer incentives to subscribed users encouraging them to use
TVWS spectrum through greater spectrum availability (as measured by percentage
of winning bidders) as well as to the coordinating spectrum manager through
revenue generation.


title:
Ultrafast quantum random access memory utilizing single Rydberg atoms in
  a Bose-Einstein condensate

abstract:
  We propose a long-lived and rapidly accessible quantum memory unit, for which
the operational Hilbert space is spanned by states involving the two
macroscopically occupied hyperfine levels of a miscible binary atomic
Bose-Einstein condensate and the Rydberg state of a single atom. It is shown
that an arbitrary qubit state, initially prepared using a flux qubit, can be
rapidly transferred to and from the trapped atomic ensemble in approximately 10
ns and with a large fidelity of 97%, via an effective two-photon process using
an external laser for the transition to the Rydberg level. The achievable
ultrafast transfer of quantum information therefore enables a large number of
storage and retrieval cycles from the highly controllable quantum optics setup
of a dilute ultracold gas, even within the typically very short flux qubit
lifetimes of the order of microseconds.


title:
The spread of the spectrum of a nonnegative matrix with a zero diagonal
  element

abstract:
  Let $A = [a_{i j}]_{i,j=1}^n$ be a nonnegative matrix with $a_{1 1} = 0$. We
prove some lower bounds for the spread $s(A)$ of $A$ that is defined as the
maximum distance between any two eigenvalues of $A$. If $A$ has only two
distinct eigenvalues, then $s(A) \ge \frac{n}{2(n-1)} \, r(A)$, where $r(A)$ is
the spectral radius of $A$. Moreover, this lower bound is the best possible.


title:
Measuring Dirac CP-violating phase with intermediate energy beta beam
  facility

abstract:
  Taking the established nonzero value of $\theta_{13}$, we study the
possibility of extracting the Dirac CP-violating phase by a beta beam facility
with a boost factor $100<\gamma<450$. We compare the performance of different
setups with different baselines, boost factors and detector technologies. We
find that an antineutrino beam from $^6$He decay with a baseline of $L=1300$ km
has a very promising CP discovery potential using a 500 kton Water Cherenkov
(WC) detector. Fortunately this baseline corresponds to the distance between
FermiLAB to Sanford underground research facility in South Dakota.


title: Improving data utility in differential privacy and k-anonymity

abstract:
  We focus on two mainstream privacy models: k-anonymity and differential
privacy. Once a privacy model has been selected, the goal is to enforce it
while preserving as much data utility as possible. The main objective of this
thesis is to improve the data utility in k-anonymous and differentially private
data releases. k-Anonymity has several drawbacks. On the disclosure limitation
side, there is a lack of protection against attribute disclosure and against
informed intruders. On the data utility side, dealing with a large number of
quasi-identifier attributes is problematic. We propose a relaxation of
k-anonymity that deals with these issues.
  Differential privacy limits disclosure risk through noise addition. The
Laplace distribution is commonly used for the random noise. We show that the
Laplace distribution is not optimal: the same disclosure limitation guarantee
can be attained by adding less noise. Optimal univariate and multivariate
noises are characterized and constructed.
  Common mechanisms to attain differential privacy do not take into account the
users prior knowledge; they implicitly assume zero initial knowledge about the
query response. We propose a mechanism that focuses on limiting the knowledge
gain over the prior knowledge.
  Microaggregation-based k-anonymity and differential privacy can be combined
to produce microdata releases with the strong privacy guarantees of
differential privacy and improved data accuracy.
  The last contribution delves into the relation between t-closeness and
differential privacy. We see that for a specific distance and under some
reasonable assumptions on the intruders knowledge, t-closeness leads to
differential privacy.


title:
Enumeration of chord diagrams on many intervals and their non-orientable
  analogs

abstract:
  Two types of connected chord diagrams with chord endpoints lying in a
collection of ordered and oriented real segments are considered here: the real
segments may contain additional bivalent vertices in one model but not in the
other. In the former case, we record in a generating function the number of
fatgraph boundary cycles containing a fixed number of bivalent vertices while
in the latter, we instead record the number of boundary cycles of each fixed
length. Second order, non-linear, algebraic partial differential equations are
derived which are satisfied by these generating functions in each case giving
efficient enumerative schemes. Moreover, these generating functions provide
multi-parameter families of solutions to the KP hierarchy. For each model,
there is furthermore a non-orientable analog, and each such model likewise has
its own associated differential equation. The enumerative problems we solve are
interpreted in terms of certain polygon gluings. As specific applications, we
discuss models of several interacting RNA molecules. We also study a matrix
integral which computes numbers of chord diagrams in both orientable and
non-orientable cases in the model with bivalent vertices, and the large-N limit
is computed using techniques of free probability.


title:
Evolution on neutral networks accelerates the ticking rate of the
  molecular clock

abstract:
  Large sets of genotypes give rise to the same phenotype because phenotypic
expression is highly redundant. Accordingly, a population can accept mutations
without altering its phenotype, as long as thegenotype mutates into another one
on the same set. By linking every pair of genotypes that are mutually
accessible through mutation, genotypes organize themselves into neutral
networks (NN). These networks are known to be heterogeneous and assortative,
and these properties affect the evolutionary dynamics of the population. By
studying the dynamics of populations on NN with arbitrary topology we analyze
the effect of assortativity, of NN (phenotype) fitness, and of network size. We
find that the probability that the population leaves the network is smaller the
longer the time spent on it. This progressive "phenotypic entrapment" entails a
systematic increase in the overdispersion of the process with time and an
acceleration in the fixation rate of neutral mutations. We also quantify the
variation of these effects with the size of the phenotype and with its fitness
relative to that of neighbouring alternatives.


title: Functional Hubs in Mild Cognitive Impairment

abstract:
  We investigate how hubs of functional brain networks are modified as a result
of mild cognitive impairment (MCI), a condition causing a slight but noticeable
decline in cognitive abilities, which sometimes precedes the onset of
Alzheimer's disease. We used magnetoencephalography (MEG) to investigate the
functional brain networks of a group of patients suffering from MCI and a
control group of healthy subjects, during the execution of a short-term memory
task. Couplings between brain sites were evaluated using synchronization
likelihood, from which a network of functional interdependencies was
constructed and the centrality, i.e. importance, of their nodes quantified. The
results showed that, with respect to healthy controls, MCI patients were
associated with decreases and increases in hub centrality respectively in
occipital and central scalp regions, supporting the hypothesis that MCI
modifies functional brain network topology, leading to more random structures.


title: Design and analysis of demand-adapted railway timetables

abstract:
  Railway scheduling and timetabling are common stages in the classical
hierarchical railway planning process and they perhaps represent the step with
major influence on user's perception about quality of service. This aspect, in
conjunction with their contribution to service profitability, makes them a
widely studied topic in the literature, where nowadays many efforts are focused
on improving the solving methods of the corresponding optimization problems.
However, literature about models considering detailed descriptions of passenger
demand is sparse. This paper tackles the problem of timetable determination by
means of building and solving a non-linear integer programming model which fits
the arrival and departure train times to a dynamic behavior of demand. The
optimization model results are then used for computing several measures to
characterize the quality of the obtained timetables considering jointly both
user and company points of view. Some aspects are discussed, including the
influence of train capacity and the validity of Random Incidence Theorem. An
application to the C5 line of Madrid rapid transit system is presented.
Different measures are analyzed in order to improve the insight into the
proposed model and analyze in advance the influence of different objectives on
the resulting timetable.


title:
The UV to FIR spectral energy distribution of star-forming galaxies in
  the redshift desert

abstract:
  We analyse the rest-frame UV-to-NIR spectral energy distribution (SED) of
Lyman break galaxies (LBGs), star-forming (SF) BzK (sBzK), and UV-selected
galaxies at 1.5 < z < 2.5 in the COSMOS, GOODS-N, and GOODS-S fields.
Additionally, we complement the multi-wavelength coverage of the galaxies
located in the GOODS fields with deep FIR data taken from the GOODS-Herschel
project. We find that sBzK galaxies represent the general population of SF
galaxies at z ~ 2 better than LBGs. For a given stellar mass, LBGs tend to have
bluer optical colours than sBzK and UV-selected galaxies. We find clean PACS
individual detections for a subsample of 48 LBGs, 89 sBzK, and 91 UV-selected
galaxies, that measure their dust emission directly. Their SFR_total = SFR_UV +
SFR_IR cannot be recovered with the dust-correction factors derived with their
continuum slope and the IRX-beta relations for local starbursts. This has
implications, for example, in the definition of the main sequence (MS) at z ~
2. PACS-detected galaxies are located above the z ~ 2 MS and thus their star
formation is probably driven by starburst. This is in agreement with the shape
of their IR SEDs. PACS-detected galaxies with redder UV continuum slope and
higher stellar mass are more attenuated. We find that for a given UV continuum
slope the dustiest galaxies at higher redshifts are more attenuated and that
for a given stellar mass the dustiest galaxies at higher redshifts have
stronger FIR emission. This suggests an evolution of their dust properties.
However, we do not find significant evolution in the relation between dust
attenuation and stellar mass with redshift, at least at z < 2.5. There is a
subpopulation of 17, 26, and 27 LBGs, sBzK, and UV-selected galaxies,
respectively, that are detected in any of the SPIRE bands. We speculate that
SPIRE-detected LBGs are the bridging population between sub-mm galaxies and
LBGs.


title: From complete to partial flags in geometric extension algebras

abstract:
  A geometric extension algebra is an extension algebra of a semi-simple
perverse sheaf (allowing shifts), e.g. a push-forward of the constant sheaf
under a projective map. Particular nice situations arise for collapsings of
homogeneous vector bundle over homogeneous spaces. In this paper, we study the
relationship between partial flag and complete flag cases. Our main result is
that the locally finite modules over the geometric extension algebras are
related by a recollement. As examples, we investigate parabolic affine nil
Hecke algebras, geometric extension algebras associated to parabolic Springer
maps and an example of Reineke of a parabolic quiver-graded Hecke algebra.


title: A Survey on Springer Theory

abstract:
  This is not standard in the sense that we understand a Springer map to be a
collapsing of homogeneous bundles. Apart from that we use mostly techniques
from Chriss and Ginzbergs book but we work in the equivariant derived category
of Bernstein and Lunts. We define Steinberg algebras as (equivariant)
Borel-Moore homology algebras of the associated Steinberg varieties. The data
of the BBD-decomposition theorem applied to the Springer map give a
parametrization of projective graded and simple graded modules over the
Steinberg algebra. Also, the projective graded modules are equivalent to a
category of shifts of perverse sheaves. This has as a consequence for example
the Springer correspondence. We call classical Springer Theory what is usually
considered as Springer Theory. The main results are parametrizations of simple
modules of different types of Hecke algebras. Our second main example is
quiver-graded Springer theory (due to Lusztig), here the Steinberg algebras are
the quiver Hecke algebras. We also explain Lusztig's and Khovanov-Lauda's
monoidal categorification of the negative half of the quantum group using the
categories of shifts of perverse sheaves and projective graded modules over the
quiver Hecke algebra respectively.


title: On Secure Source Coding with Side Information at the Encoder

abstract:
  We consider a secure source coding problem with side information (S.I.) at
the decoder and the eavesdropper. The encoder has a source that it wishes to
describe with limited distortion through a rate limited link to a legitimate
decoder. The message sent is also observed by the eavesdropper. The encoder
aims to minimize both the distortion incurred by the legitimate decoder; and
the information leakage rate at the eavesdropper. When the encoder has access
to the uncoded S.I. at the decoder, we characterize the
rate-distortion-information leakage rate (R.D.I.) region under a Markov chain
assumption and when S.I. at the encoder does not improve the rate-distortion
region as compared to the case when S.I. is absent. When the decoder also has
access to the eavesdroppers S.I., we characterize the R.D.I. region without the
Markov Chain condition. We then consider a related setting where the encoder
and decoder obtain coded S.I. through a rate limited helper, and characterize
the R.D.I. region for several special cases, including special cases under
logarithmic loss distortion and for special cases of the Quadratic Gaussian
setting. Finally, we consider the amplification measures of list or entropy
constraint at the decoder, and show that the R.D.I. regions for the settings
considered in this paper under these amplification measures coincide with
R.D.I. regions under per symbol logarithmic loss distortion constraint at the
decoder.


title:
Numerical study of magnetization plateaux in the spin-1/2 kagome
  Heisenberg antiferromagnet

abstract:
  We clarify the existence of several magnetization plateaux for the kagome
$S=1/2$ antiferromagnetic Heisenberg model in a magnetic field. Using
approximate or exact localized magnon eigenstates, we are able to describe in a
similar manner the plateau states that occur for magnetization per site
$m=1/3$, $5/9$, and $7/9$ of the saturation value. These results are confirmed
using large-scale Exact Diagonalization on lattices up to 63 sites.


title:
Semicircular limits on the free Poisson chaos: counterexamples to a
  transfer principle

abstract:
  We establish a class of sufficient conditions, ensuring that a sequence of
multiple integrals with respect to a free Poisson measure converges to a
semicircular limit. We use this result to construct a set of explicit
counterexamples, showing that the transfer principle between classical and free
Brownian motions (recently proved by Kemp, Nourdin, Peccati and Speicher
(2012)) does not extend to the framework of Poisson measures. Our
counterexamples implicitly use kernels appearing in the classical theory of
random geometric graphs. Several new results of independent interest are
obtained as necessary steps in our analysis, in particular: (i) a
multiplication formula for free Poisson multiple integrals, (ii) diagram
formulae and spectral bounds for these objects, and (iii) a counterexample to
the general universality of the Gaussian Wiener chaos in a classical setting.


title: Homology for one-dimensional solenoids

abstract:
  Smale space is a particular class of hyperbolic topological dynamical
systems, defined by David Ruelle. The third author constructed a homology
theory for Smale spaces which is based on Krieger's dimension group invariant
for shifts of finite type. In this paper, we compute this homology for the
one-dimensional generalized solenoids of R.F. Williams.


title: Estimation in exponential families on permutations

abstract:
  Asymptotics of the normalizing constant is computed for a class of one
parameter exponential families on permutations which includes Mallows model
with Spearmans's Footrule and Spearman's Rank Correlation Statistic. The MLE,
and a computable approximation of the MLE are shown to be consistent. The
pseudo-likelihood estimator of Besag is shown to be $\sqrt{n}$-consistent. An
iterative algorithm (IPFP) is proved to converge to the limiting normalizing
constant. The Mallows model with Kendall's Tau is also analyzed to demonstrate
flexibility of the tools of this paper.


title:
Laser Induced Periodic Surface Structures Induced by Surface Plasmons
  Coupled via Roughness

abstract:
  In this paper the formation mechanisms of the femtosecond laser-induced
periodic surface structures (LIPSS) are discussed. One of the most
frequently-used theories explains the structures by interference between the
incident laser beam and surface plasmon-polariton waves. The latter is most
commonly attributed to the coupling of the incident laser light to the surface
roughness. We demonstrate that this excitation mechanism of surface plasmons
contradicts to the results of laser-ablation experiments. As an alternative
approach to the excitation of LIPSS we analyse development of hydrodynamic
instabilities in the melt layer.


title: Event-plane correlators

abstract:
  Correlators between event planes of different harmonics in relativistic
heavy-ion collisions have the potential to provide crucial information on the
initial state of the matter formed in these collisions. We present a new
procedure for analyzing such correlators, which is less demanding in terms of
detector acceptance than the one used recently by the ATLAS collaboration to
measure various two-plane and three-plane correlators in Pb-Pb collisions at
LHC. It can also be used unambiguously for quantitative comparison between
theory and data. We use this procedure to carry out realistic simulations
within the transport model AMPT. Our theoretical results are in excellent
agreement with the ATLAS data, in contrast with previous hydrodynamic
calculations which only achieved qualitative agreement. We present predictions
for new correlators, in particular four-plane correlators, which can easily be
analyzed with our new method.


title: Rips-Segev torsion-free groups without the unique product property

abstract:
  We generalize the graphical small cancellation theory of Gromov to a
graphical small cancellation theory over the free product. We extend Gromov's
small cancellation theorem to the free product. We explain and generalize
Rips-Segev's construction of torsion-free groups without the unique product
property by viewing these groups as given by graphical small cancellation
presentations over the free product. Our graphical small cancellation theorem
then provides first examples of Gromov hyperbolic groups without the unique
product property. We construct uncountably many non-isomorphic torsion-free
groups without the unique product property. We show that the presentations of
generalized Rips-Segev groups are not generic among finite presentations of
groups.


title:
Tangential Velocity of the Dark Matter in the Bullet Cluster from
  Precise Lensed Image Redshifts

abstract:
  We show that the fast moving component of the "bullet cluster" (1E0657-56)
can induce potentially resolvable redshift differences between multiply-lensed
images of background galaxies. The moving cluster effect can be expressed as
the scalar product of the lensing deflection angle with the tangential velocity
of the mass components, and it is maximal for clusters colliding in the plane
of the sky with velocities boosted by their mutual gravity. The bullet cluster
is likely to be the best candidate for the first measurement of this effect due
to the large collision velocity and because the lensing deflection and the
cluster fields can be calculated in advance. We derive the deflection field
using multiply-lensed background galaxies detected with the Hubble Space
Telescope. The velocity field is modeled using self-consistent
N-body/hydrodynamical simulations constrained by the observed X-ray and
gravitational lensing features of this system. We predict that the
triply-lensed images of systems "G" and "H" straddling the critical curve of
the bullet component will show the largest frequency shifts up to ~0.5 km/sec.
This is within the range of the Atacama Large Millimeter/sub-millimeter Array
(ALMA) for molecular emission, and is near the resolution limit of the new
generation high-throughput optical-IR spectrographs. A detection of this effect
measures the tangential motion of the subclusters directly, thereby clarifying
the tension with LCDM, which is inferred from gas motion less directly. This
method may be extended to smaller redshift differences using the Ly-alpha
forest towards QSOs lensed by more typical clusters of galaxies. More
generally, the tangential component of the peculiar velocities of clusters
derived by our method complements the radial component determined by the
kinematic SZ effect, providing a full 3-dimensional description of velocities.


title:
LIDT-DD: A new self-consistent debris disc model including radiation
  pressure and coupling dynamical and collisional evolution

abstract:
  The first attempt at developing a fully self-consistent code coupling
dynamics and collisions to study debris discs (Kral, Thebault, Charnoz, 2013)
is presented. So far, these two crucial mechanisms were studied separately,
with N-body and statistical collisional codes respectively, because of
stringent computational constraints. In particular, incorporating collisional
effects (especially destructive collisions) into an N-body scheme was deemed an
impossible task because of the exponential increase of particles it would
imply.
  We present here a new model named LIDT-DD which is able to follow over long
timescales the coupled evolution of dynamics (including radiation pressure) and
collisions in a self-consistent way.


title:
Asymmetric Magnetic Domain-Wall Motion by the Dzyaloshinskii-Moriya
  Interaction

abstract:
  We demonstrate here that ultrathin ferromagnetic Pt/Co/Pt films with
perpendicular magnetic anisotropy exhibit a sizeable Dzyaloshinskii-Moriya
interaction (DMI) effect. Such a DMI effect modifies the domain-wall (DW)
energy density and consequently, results in an asymmetric DW expansion driven
by an out-of-plane magnetic field under an in-plane magnetic field bias. From
an analysis of the asymmetry, the DMI effect is estimated to be strong enough
for the DW to remain in the N\'eel-type configuration in contrast to the
general expectations of these materials. Our findings emphasize the critical
role of the DMI effect on the DW dynamics as the underlying physics of the
asymmetries that are often observed in spin-transfer-related phenomena.


title: A new mechanism for saturating unstable r-modes in neutron stars

abstract:
  We consider a new mechanism for damping the oscillations of a mature neutron
star. The new dissipation channel arises if superfluid vortices are forced to
cut through superconducting fluxtubes. This mechanism is interesting because
the oscillation modes need to exceed a critical amplitude in order for it to
operate. Once it acts the effect is very strong (and nonlinear) leading to
efficient damping. The upshot of this is that modes are unlikely to ever evolve
far beyond the critical amplitude. We consider the effect of this new
dissipation channel on the r-modes, that may be driven unstable by the emission
of gravitational waves. Our estimates show that the fluxtube cutting leads to a
saturation threshold for the instability that can be smaller than that of other
proposed mechanisms. This suggests that the idea may be of direct astrophysical
relevance.


title:
Rigorous derivation from Landau-de Gennes theory to Ericksen-Leslie
  theory

abstract:
  Starting from Beris-Edwards system for the liquid crystal, we present a
rigorous derivation of Ericksen-Leslie system with general Ericksen stress and
Leslie stress by using the Hilbert expansion method.


title:
The maximum voltage drop in an on-chip power distribution network:
  analysis of square, triangular and hexagonal power pad arrangements

abstract:
  A mathematical model of the voltage drop which arises in on-chip power
distribution networks is used to compare the maximum voltage drop in the case
of different geometric arrangements of the pads supplying power to the chip.
These include the square or Manhattan power pad arrangement which currently
predominates, as well as equilateral triangular and hexagonal arrangements. In
agreement with findings in the literature and with physical and SPICE models,
the equilateral power pad arrangement, independent of the underlying power mesh
configuration, is found to minimize the maximum voltage drop. This headline
finding is a consequence of relatively simple formulas for the voltage drop,
with explicit error bounds, which are established using complex analysis
techniques, and elliptic functions in particular.


title:
Masses, mixing angles and phases of general Majorana neutrino mass
  matrix

abstract:
  General Majorana neutrino mass matrix is complex symmetric and for three
generations of neutrinos it contains 12 real parameters. We diagonalize this
general neutrino mass matrix and express the three neutrino masses, three
mixing angles, one Dirac CP phase and two Majorana phases (removing three
unphysical phases) in terms of the neutrino mass matrix elements. We apply the
results in the context of a neutrino mass matrix derived from a broken cyclic
symmetry invoking type-I seesaw mechanism. Phenomenological study of the above
mass matrix allows enough parameter space to satisfy the neutrino oscillation
data with only 10% breaking of this symmetry. In this model only normal mass
hierarchy is allowed. In addition, the Dirac CP phase and the Majorana phases
are numerically estimated. $\Sigma m_i$ and $|m_{\nu_{ee}}|$ are also
calculated.


title: Dreibein as prepotential for three-dimensional Yang-Mills theory

abstract:
  We advocate and develop the use of the dreibein (and the metric) as
prepotential for three-dimensional SO(3) Yang-Mills theory. Since the dreibein
transforms homogeneously under gauge transformation, the metric is gauge
invariant. For a generic gauge potential, there is a unique dreibein on fixing
the boundary condition. Topologically non-trivial monopole configurations are
given by conformally flat metrics, with scalar fields capturing the monopole
centres. Our approach also provides an ansatz for the gauge potential covering
the topological aspects.


title: The impact of M-dwarf atmosphere modelling on planet detection

abstract:
  Being able to accurately estimate stellar parameters based on spectral
observations is important not only for understanding the stars themselves but
it is also vital for the determination of exoplanet parameters. M dwarfs are
discussed as targets for planet detection as these stars are less massive, less
luminous and have smaller radii making it possible to detect smaller and
lighter planets. Therefore M-dwarfs could prove to be a valuable source for
examining the lower mass end of planet distribution, but in order to do that,
one must first take care to understand the characteristics of the host stars
well enough. Up to date, there are several families of stellar model
atmospheres. We focus on the ATLAS9, MARCS and Drift-Phoenix families in the
M-dwarf parameter space. We examine the differences in the (Tgas, pgas)
structures, synthetic photometric fluxes and related colour indices.We find
discrepancies in the hotter regions of the stellar atmosphere between the ATLAS
and MARCS models. The MARCS and Drift-Phoenix models appear to agree to a
better extend with variances of less than 300K. We have compiled the broad-band
synthetic photometric fluxes of all models for the Johnson UBVRI and 2MASS
JHKs. The fluxes of MARCS differ from both ATLAS and Drift-Phoenix models in
the optical range.


title:
Mixed Noisy Network Coding and Cooperative Unicasting in Wireless
  Networks

abstract:
  The problem of communicating a single message to a destination in presence of
multiple relay nodes, referred to as cooperative unicast network, is
considered. First, we introduce "Mixed Noisy Network Coding" (MNNC) scheme
which generalizes "Noisy Network Coding" (NNC) where relays are allowed to
decode-and-forward (DF) messages while all of them (without exception) transmit
noisy descriptions of their observations. These descriptions are exploited at
the destination and the DF relays aim to decode the transmitted messages while
creating full cooperation among the nodes. Moreover, the destination and the DF
relays can independently select the set of descriptions to be decoded or
treated as interference. This concept is further extended to multi-hopping
scenarios, referred to as "Layered MNNC" (LMNNC), where DF relays are organized
into disjoint groups representing one hop in the network. For cooperative
unicast additive white Gaussian noise (AWGN) networks we show that -provided DF
relays are properly chosen- MNNC improves over all previously established
constant gaps to the cut-set bound. Secondly, we consider the composite
cooperative unicast network where the channel parameters are randomly drawn
before communication starts and remain fixed during the transmission. Each draw
is assumed to be unknown at the source and fully known at the destination but
only partly known at the relays. We introduce through MNNC scheme the concept
of "Selective Coding Strategy" (SCS) that enables relays to decide dynamically
whether, in addition to communicate noisy descriptions, is possible to decode
and forward messages. It is demonstrated through slow-fading AWGN relay
networks that SCS clearly outperforms conventional coding schemes.


title: Edge-disjoint double rays in infinite graphs: a Halin type result

abstract:
  We show that any graph that contains k edge-disjoint double rays for any k>0
contains also infinitely many edge-disjoint double rays. This was conjectured
by Andreae in 1981.


title: Few remarks on evolution algebras

abstract:
  In the present paper we study some algebraic properties of evolution
algebras. Moreover, we reduce the study of evolution algebras of permutations
to two special types of evolution algebras, idempotents and absolute nilpotent
elements of the algebra. We study three-dimensional evolution algebras whose
each element of evolution basis has infinite period. In addition, for an
evolution algebra with some properties we describe its associative enveloping
algebra.


title: 't Hooft-Polyakov monopole of higher generalized angular momenta

abstract:
  We recall the quaternionic fomulation, which can simplify the computation of
the linearized Yang-Mills-Higgs equation in the background of a 't
Hooft-Polyakov monopole. We then study the solutions in the cases $j=0$, $j=1$
and $j\geq 2$ separately. In particular, we investigate the spectral properties
of the monopoles. We focus on some of the bound states and show that as the
generalized momentum increases, the $k-$th eigenvalue tends to 1. We show the
existence of Feshbach resonance for $\om <1$ in the coupled system and
calculated the partial cross section when $\om >1$.


title:
An Efficient Model Selection for Gaussian Mixture Model in a Bayesian
  Framework

abstract:
  In order to cluster or partition data, we often use
Expectation-and-Maximization (EM) or Variational approximation with a Gaussian
Mixture Model (GMM), which is a parametric probability density function
represented as a weighted sum of $\hat{K}$ Gaussian component densities.
However, model selection to find underlying $\hat{K}$ is one of the key
concerns in GMM clustering, since we can obtain the desired clusters only when
$\hat{K}$ is known. In this paper, we propose a new model selection algorithm
to explore $\hat{K}$ in a Bayesian framework. The proposed algorithm builds the
density of the model order which any information criterions such as AIC and BIC
basically fail to reconstruct. In addition, this algorithm reconstructs the
density quickly as compared to the time-consuming Monte Carlo simulation.


title: Radioactive Decays in Geant4

abstract:
  The simulation of radioactive decays is a common task in Monte-Carlo systems
such as Geant4. Usually, a system either uses an approach focusing on the
simulations of every individual decay or an approach which simulates a large
number of decays with a focus on correct overall statistics. The radioactive
decay package presented in this work permits, for the first time, the use of
both methods within the same simulation framework - Geant4. The accuracy of the
statistical approach in our new package, RDM-extended, and that of the existing
Geant4 per-decay implementation (original RDM), which has also been refactored,
are verified against the ENSDF database. The new verified package is beneficial
for a wide range of experimental scenarios, as it enables researchers to choose
the most appropriate approach for their Geant4-based application.


title:
Faddeev-type calculation of three-body nuclear reactions including core
  excitation

abstract:
  The core excitation, being an important reaction mechanism, so far is not
properly included in most calculations of three-body nuclear reactions. We aim
to include the excitation of the core nucleus using an exact Faddeev-type
framework for nuclear reactions in the three-body (core + neutron + proton)
system. We employ Alt, Grassberger, and Sandhas (AGS) integral equations for
the three-particle transition operators and solve them in the momentum-space
framework. The Coulomb interaction is included via the method of screening and
renormalization. We calculate elastic, inelastic, and transfer reactions
involving 10Be and 24Mg nuclear cores. Important effects of the core excitation
are found, often improving the description of the experimental data. In the
neutron transfer reactions the core excitation effect is by far not just a
simple reduction of the cross section by the respective spectroscopic factor.
This indicates that widely used extraction of the spectroscopic factors from
the ratio of the experimental and theoretical transfer cross sections is
unreliable approach.


title:
A Unified Framework of Elementary Geometric Transformation
  Representation

abstract:
  As an extension of projective homology, stereohomology is proposed via an
extension of Desargues theorem and the extended Desargues configuration.
Geometric transformations such as reflection, translation, central symmetry,
central projection, parallel projection, shearing, central dilation, scaling,
and so on are all included in stereohomology and represented as
Householder-Chen elementary matrices. Hence all these geometric transformations
are called elementary. This makes it possible to represent these elementary
geometric transformations in homogeneous square matrices independent of a
particular choice of coordinate system.


title:
Gauged supergravities and non-geometric Q/R-fluxes from asymmetric
  orbifold CFT's

abstract:
  We investigate the orbifold limits of string theory compactifications with
geometric and non-geometric fluxes. Exploiting the connection between internal
fluxes and structure constants of the gaugings in the reduced supergravity
theory, we can identify the types of fluxes arising in certain classes of
freely-acting symmetric and asymmetric orbifolds. We give a general procedure
for deriving the gauge algebra of the effective gauged supergravity using the
exact CFT description at the orbifold point. We find that the asymmetry is, in
general, related to the presence of non-geometric Q- and R- fluxes. The action
of T-duality is studied explicitly on various orbifold models and the resulting
transformation of the fluxes is derived. Several explicit examples are
provided, including compactifications with geometric fluxes, Q-backgrounds
(T-folds) and R-backgrounds. In particular, we present an asymmetric Z4xZ2
orbifold in which all geometric and non-geometric fluxes {\omega}, H, Q, R are
turned on simultaneously. We also derive the corresponding flux backgrounds,
which are not in general T-dual to geometric ones, and may even simultaneously
depend non-trivially on both the coordinates and their winding T-duals.


title: Extreme non-Arens regularity of the group algebra

abstract:
  Following Granirer, a Banach algebra A is extremely non-Arens regular when
the quotient space A*/WAP(A) contains a closed linear subspace which has A* as
a continuous linear image. We prove that the group algebra L^1(G) of any
infinite locally compact group is always extremely non-Arens regular. When G is
not discrete, this result is deduced from the much stronger property that, in
fact, there is a linear isometric copy of L^\infty(G) in the quotient space
L^\infty(G)/CB(G), where CB(G) stands for the algebra of all continuous and
bounded functions on G.


title:
Systems with stationary distribution of quantum correlations: open
  spin-1/2 chains with XY interaction

abstract:
  Although quantum correlations in a quantum system are characterized by the
evolving quantities (which are entanglement and discord usually), we reveal
such basis (i.e. the set of virtual particles) for the representation of the
density matrix that the entanglement and/or discord between any two virtual
particles in such representation are stationary. In particular, dealing with
the nearest neighbor approximation, this system of virtual particles is
represented by the $\beta$-fermions of the Jordan-Wigner transformation. Such
systems are important in quantum information devices because the evolution of
quantum entanglement/discord leads to the problems of realization of quantum
operations. The advantage of stationary entanglement/discord is that they are
completely defined by the initial density matrix and by the Hamiltonian
governing the quantum dynamics in the system under consideration. Moreover,
using the special initial condition together with the special system's
geometry, we construct large cluster of virtual particles with the same
pairwise entanglement/discord. In other words, the measure of quantum
correlations is stationary in this system and correlations are uniformly
"distributed" among all virtual particles. As examples, we use both homogeneous
and non-homogeneous spin-1/2 open chains with XY-interaction although other
types of interactions might be also of interest.


title:
Variational optimization of the 2DM: approaching three-index accuracy
  using extended cluster constraints

abstract:
  The reduced density matrix is variationally optimized for the two-dimensional
Hubbard model. Exploiting all symmetries present in the system, we have been
able to study $6\times6$ lattices at various fillings and different values for
the on-site repulsion, using the highly accurate but computationally expensive
three-index conditions. To reduce the computational cost we study the
performance of imposing the three-index constraints on local clusters of
$2\times2$ and $3\times3$ sites. We subsequently derive new constraints which
extend these cluster constraints to incorporate the open-system nature of a
cluster on a larger lattice. The feasibility of implementing these new
constraints is demonstrated by performing a proof-of-principle calculation on
the $6\times6$ lattice. It is shown that a large portion of the three-index
result can be recovered using these extended cluster constraints, at a fraction
of the computational cost.


title:
Segal's spectral sequence in twisted equivariant K-theory for proper and
  discrete actions

abstract:
  We use a spectral sequence developed by Graeme Segal in order to understand
the twisted G-equivariant K-theory for proper and discrete actions. We show
that the second page of this spectral sequence is isomorphic to a version of
Bredon cohomology with local coefficients in twisted representations. We
furthermore explain some phenomena concerning the third differential of the
spectral sequence, and we recover known results when the twisting comes from
finite order elements in discrete torsion.


title:
In-gap states of the quantum dot coupled between a normal and
  superconducting lead

abstract:
  We study the in-gap states of the quantum dot hybridized to a conducting and
superconducting electrode. The usual proximity effect suppresses electronic
states over the entire subgap regime $|\omega| < \Delta$, where $\Delta$
denotes the energy gap of superconductor. Owing to the Andreev scattering there
can, however, emerge additional in-gap states whose line-broadening (inverse
life-time) depends on the coupling to a normal electrode. We show that even
number of such bound states appears in the quantum dot spectrum, depending on a
competition between the Coulomb repulsion and the induced on-dot pairing. We
discuss signatures of these in-gap states showing up in the tunneling
conductance, especially in a low-bias regime dominated by the Andreev channel.


title:
Low-temperature thermodynamics of spin-1/2 orthogonal-dimer chain with
  Ising and Heisenberg interactions

abstract:
  We consider an exactly solvable version of the quantum spin-1/2
orthogonal-dimer chain with the Heisenberg intra-dimer and Ising inter-dimer
couplings. The investigated quantum spin system exhibits at zero temperature
fractional plateaux at 1/4 and 1/2 of the saturation magnetization and it has a
highly degenerate ground state at critical fields where the magnetization
jumps. We study the field dependence of the specific heat at low temperature.
The lattice-gas description is formulated in a vicinity of critical fields to
explain the low-temperature behaviour of specific heat.


title:
Attractive interaction and bridging transition between neutral colloidal
  particles due to preferential adsorption in a near-critical binary mixture

abstract:
  We examine the solvent-mediated interaction between two neutral colloidal
particles due to preferential adsorption in a near-critical binary mixture. We
take into account the renormalization effect due to the critical fluctuations
using the recent local functional theory $[$J. Chem. Phys. {\bf 136}, 114704
(2012)$]$. We calculate the free energy and the force between two colloidal
particles as functions of the temperature $T$, the composition far from the
colloidal particles $c_\infty$, and the colloid separation $\ell$. The
interaction is much enhanced when the component favored by the colloid surfaces
is poor in the reservoir. For such off-critical compositions, we find a surface
of a first-order bridging transition $\ell= \ell_{\rm cx}(T,c_\infty)$ in the
$T$-$c_\infty$-$\ell$ space in a universal, scaled form, across which a
discontinuous change occurs between separated and bridged states. This surface
starts from the bulk coexistence surface (CX) and ends at a bridging critical
line $\ell= \ell_{c}(T)$. On approaching the critical line, the discontinuity
vanishes and the derivatives of the force with respect to $T$ and $\ell$ both
diverge. Furthermore, bridged states continuously change into separated states
if $c_\infty$ (or $T$) is varied from a value on CX to value far from CX with
$\ell$ kept smaller than $\ell_c(T)$.


title: Orientation-preserving Young measures

abstract:
  We prove a characterization result in the spirit of the Kinderlehrer-Pedregal
Theorem for Young measures generated by gradients of Sobolev maps satisfying
the orientation-preserving constraint, that is the pointwise Jacobian is
positive almost everywhere. The argument to construct the appropriate
generating sequences from such Young measures is based on a variant of convex
integration in conjunction with an explicit lamination construction in matrix
space. Our generating sequence is bounded in $L^p$ for $p$ less than the space
dimension, a regime in which the pointwise Jacobian loses some of its important
properties. On the other hand, for $p$ larger than, or equal to, the space
dimension the situation necessarily becomes rigid and a construction as
presented here cannot succeed. Applications to relaxation of integral
functionals, the theory of semiconvex hulls, and approximation of weakly
orientation-preserving maps by strictly orientation-preserving ones in Sobolev
spaces are given.


title: Relative Manin-Mumford for semi-abelian surfaces

abstract:
  We show that Ribet sections are the only obstruction to the validity of the
relative Manin-Mumford conjecture for one dimensional families of semi-abelian
surfaces. Applications include special cases of the Zilber-Pink conjecture for
curves in a mixed Shimura variety of dimension four, as well as the study of
polynomial Pell equations with non-separable discriminants.


title: Systems Biophysics of Gene Expression

abstract:
  Gene expression is a central process to any form of life. It involves
multiple temporal and functional scales that extend from specific protein-DNA
interactions to the coordinated regulation of multiple genes in response to
intracellular and extracellular changes. This diversity in scales poses
fundamental challenges among traditional approaches to fully understand even
the simplest gene expression systems. Recent advances in computational systems
biophysics have provided promising avenues to reliably integrate the molecular
detail of biophysical process into the system behavior. Here, we review recent
advances in the description of gene regulation as a system of biophysical
processes that extend from specific protein-DNA interactions to the
combinatorial assembly of nucleoprotein complexes. There is now basic
mechanistic understanding on how promoters controlled by multiple, local and
distal, DNA binding sites for transcription factors can actively control
transcriptional noise, cell-to-cell variability, and other properties of gene
regulation, including precision and flexibility of the transcriptional
responses.

categories: q-bio.MN cond-mat.soft cond-mat.stat-mech physics.bio-ph physics.chem-ph


title:
Simulations of protostellar collapse using multigroup radiation
  hydrodynamics. II. The second collapse

abstract:
  Star formation begins with the gravitational collapse of a dense core inside
a molecular cloud. As the collapse progresses, the centre of the core begins to
heat up as it becomes optically thick. The temperature and density in the
centre eventually reach high enough values where fusion reactions can ignite;
the protostar is born. This sequence of events entail many physical processes,
of which radiative transfer is of paramount importance. Many simulations of
protostellar collapse make use of a grey treatment of radiative transfer
coupled to the hydrodynamics. However, interstellar gas and dust opacities
present large variations as a function of frequency. In this paper, we
follow-up on a previous paper on the collapse and formation of Larson's first
core using multigroup radiation hydrodynamics (Paper I) by extending the
calculations to the second phase of the collapse and the formation of Larson's
second core. We have made the use of a non-ideal gas equation of state as well
as an extensive set of spectral opacities in a spherically symmetric fully
implicit Godunov code to model all the phases of the collapse of a 0.1, 1 and
10 solar mass cloud cores. We find that, for a same central density, there are
only small differences between the grey and multigroup simulations. The first
core accretion shock remains supercritical while the shock at the second core
border is found to be strongly subcritical with all the accreted energy being
transfered to the core. The size of the first core was found to vary somewhat
in the different simulations (more unstable clouds form smaller first cores)
while the size, mass and temperature of the second cores are independent of
initial cloud mass, size and temperature. Our simulations support the idea of a
standard (universal) initial second core size of 0.003 AU and mass 0.0014 solar
masses.


title: Categorification and applications in topology and representation theory

abstract:
  This thesis splits into two major parts. The connection between the two parts
is the notion of "categorification" which we shortly explain/recall in the
introduction.
  In the first part of this thesis we extend Bar-Natan's cobordism based
categorification of the Jones polynomial to virtual links. Our topological
complex allows a direct extension of the classical Khovanov complex (h=t=0),
the variant of Lee (h=0,t=1) and other classical link homologies. We show that
our construction allows, over rings of characteristic 2, extensions with no
classical analogon, e.g. Bar-Natan's Z/2Z-link homology can be extended in two
non-equivalent ways.
  Our construction is computable in the sense that one can write a computer
program to perform calculations, e.g. we have written a MATHEMATICA based
program.
  Moreover, we give a classification of all unoriented TQFTs which can be used
to define virtual link homologies from our topological construction.
Furthermore, we prove that our extension is combinatorial and has semi-local
properties. We use the semi-local properties to prove an application, i.e. we
give a discussion of Lee's degeneration of virtual homology.
  In the second part of this thesis (which is based on joint work with Mackaay
and Pan) we use Kuperberg's sl3 webs and Khovanov's sl3 foams to define a new
algebra K_S, which we call the sl3 web algebra. It is the sl3 analogue of
Khovanov's arc algebra H_n.
  We prove that K_S is a graded symmetric Frobenius algebra. Furthermore, we
categorify an instance of q-skew Howe duality, which allows us to prove that
K_S is Morita equivalent to a certain cyclotomic KLR-algebra. This allows us to
determine the split Grothendieck group K_0(K_S), to show that its center is
isomorphic to the cohomology ring of a certain Spaltenstein variety, and to
prove that K_S is a graded cellular algebra.


title:
Existence and Uniqueness of Global Smooth Solution of Incompressible
  Navier-Stokes Equation

abstract:
  The Cauchy problem and spatially periodic problem of incompressible
Navier-Stokes equation are considered. The existence and uniqueness of global
solution for these two problem with infinite smooth initial data $u_0$, i.e.
$u_0,\;(u_0\cdot\nab)u_0\in H^{\infty}$, are established. Moreover these two
problem with initial data $u_0\in H^m$ ($m\ge1$) are globally well-posed
provided the Fourier frequency of $u_0$ is contained in a bounded compact set.


title: Upper bound on the number of edges of an almost planar bipartite graph

abstract:
  Let $G$ be a bipartite graph without loops and multiple edges on $v\ge 4$
vertices, which can be drawn on the plane such that any edge intersects at most
one other edge. We prove that such graph has at most $3v-8$ edges for even
$v\ne 6$ and at most $3v-9$ edges for odd $v$ and $v=6$. For all $v\ge 4$
examples showing that these bounds are tight are constructed.
  In the end of paper we discuss a question about drawings of complete
bipartite graphs on the plane such that any edge intersects at most one other
edge.
  {\sc Keywords:} topological graphs, planar graphs, bipartite graphs.


title:
Existence of solutions for a class of singular elliptic systems with
  convection term

abstract:
  We show the existence of positive solutions for a class of singular elliptic
systems with convection term. The approach combines pseudomonotone operator
theory, sub and supersolution method and perturbation arguments involving
singular terms.


title:
Fourier-based schemes with modified Green operator for computing the
  electrical response of heterogeneous media with accurate local fields

abstract:
  A modified Green operator is proposed as an improvement of Fourier-based
numerical schemes commonly used for computing the electrical or thermal
response of heterogeneous media. Contrary to other methods, the number of
iterations necessary to achieve convergence tends to a finite value when the
contrast of properties between the phases becomes infinite. Furthermore, it is
shown that the method produces much more accurate local fields inside
highly-conducting and quasi-insulating phases, as well as in the vicinity of
the phases interfaces. These good properties stem from the discretization of
Green's function, which is consistent with the pixel grid while retaining the
local nature of the operator that acts on the polarization field. Finally, a
fast implementation of the "direct scheme" of Moulinec et al. (1994) that
allows for parcimonious memory use is proposed.


title: On completions, neat embeddings and omittings types, yet again

abstract:
  In this paper we investigate using the methodology of algebraic logic, deep
algebraic results to prove three new omitting types theorems for finite
variable fragments of first order logic. As a sample, we show that it T is an
L_n theory and |T|=lambda, lambda a regular cardinal, if T admits elimination
of quantifiers, then T omits < 2^{\lambda} many non isolated {\it maximal}
types. This is basically a result of Shelah's restricted to L_n. that is not
completely representable. We also show, using a rainbow construction for
cylindric algebras, that the omitting types theorem fails for L_n even if we
consider clique guarded semantics. This is done by constructing a an atomic
\A\in \PEA_n with countably many atoms (which are coloured graphs) who Sc
(Pinter's) reduct is not in S_c\Nr_n\Sc_{n+3}, but $A$ is elementary equivalent
to a countable completely representable (polyadic equality) algebra. Various
connections between the notions of strong representability and complete
representability are given in terms of neat embeddings. Several examples, using
rainbow constructions and Monk-like algebras are also given to show that our
results are best possible. As a sample we show that, assuming the existence of
certain finite relation algebras, that for any k\in \omega, there exists \A\in
{\sf RPEA}_n\cap \Nr_n\PEA_{n+k} such that Rd_{\sf Sc}\Cm\At\A\notin
S\Nr_n\Sc_{n+k+1}. This implies that for any finite n\geq 3, for any k\geq 0,
there is an L_n theory and a type \Gamma such that Gamma is realized in every
n+k+1 relativized smooth model, but cannot be isolated by a witness using n+k
variables.


title:
The Lambert W Function, Laguerre Polynomials, and the Zeros of the QCD
  Partition Function

abstract:
  We study solutions of a transcendental equation for the complex chemical
potential at which a random-matrix QCD model can undergo a phase transition at
zero mass. An explicit solution is obtained in terms of the Lambert W function.
We also provide a closed form expression for a QCD random matrix model
partition function, as a sum of Laguerre polynomials, for complex chemical
potential and non-zero mass.


title: A frequency-stabilized source of single photons from a solid-state qubit

abstract:
  Single quantum dots are solid-state emitters which mimic two-level atoms but
with a highly enhanced spontaneous emission rate. A single quantum dot is the
basis for a potentially excellent single photon source. One outstanding problem
is that there is considerable noise in the emission frequency, making it very
difficult to couple the quantum dot to another quantum system. We solve this
problem here with a dynamic feedback technique that locks the quantum dot
emission frequency to a reference. The incoherent scattering (resonance
fluorescence) represents the single photon output whereas the coherent
scattering (Rayleigh scattering) is used for the feedback control. The
fluctuations in emission frequency are reduced to 20 MHz, just ~ 5% of the
quantum dot optical linewidth, even over several hours. By eliminating the
1/f-like noise, the relative fluctuations in resonance fluorescence intensity
are reduced to ~ 10E-5 at low frequency. Under these conditions, the
antibunching dip in the resonance fluorescence is described extremely well by
the two-level atom result. The technique represents a way of removing charge
noise from a quantum device.


title:
Software Engineering Process Theory: A Multi-Method Comparison of
  Sensemaking-CoevoIution-Implementation Theory and Function-Behavior-Structure
  Theory

abstract:
  Many academics have called for increasing attention to theory in software
engineering. Consequently, this paper empirically evaluates two dissimilar
software development process theories - one expressing a more traditional,
methodical view (FBS) and one expressing an alternative, more improvisational
view (SCI). A primarily quantitative survey of more than 1300 software
developers is combined with four qualitative case studies to achieve a
simultaneously broad and deep empirical evaluation. Case data analysis using a
closed-ended, a priori coding scheme based on the two theories strongly
supports SCI, as does analysis of questionnaire response distributions
(p<0.001; chi-square goodness of fit test). Furthermore, case-questionnaire
triangulation found no evidence that support for SCI varied by participants'
gender, education, experience, nationality or the size or nature of their
projects. This suggests that instead of iteration between weakly-coupled phases
(analysis, design, coding, testing), it is more accurate and useful to
conceptualize development as ad hoc oscillation between organizing perceptions
of the project context (Sensemaking), simultaneously improving mental pictures
of the context and design artifact (Coevolution) and constructing, debugging
and deploying software artifacts (Implementation).


title: Exotic cluster structures on $SL_n$: the Cremmer-Gervais case

abstract:
  This is the second paper in the series of papers dedicated to the study of
natural cluster structures in the rings of regular functions on simple complex
Lie groups and Poisson-Lie structures compatible with these cluster structures.
According to our main conjecture, each class in the Belavin-Drinfeld
classification of Poisson-Lie structures on $\G$ corresponds to a cluster
structure in $\O(\G)$. We have shown before that this conjecture holds for any
$\G$ in the case of the standard Poisson-Lie structure and for all
Belavin-Drinfeld classes in $SL_n$, $n<5$. In this paper we establish it for
the Cremmer-Gervais Poisson-Lie structure on $SL_n$, which is the least similar
to the standard one.


title:
On the spontaneous emission of electromagnetic radiation in the CSL
  model

abstract:
  Spontaneous photon emission in the Continuous Spontaneous Localization (CSL)
model is studied one more time. In the CSL model each particle interacts with a
noise field that induces the collapse of its wave function. As a consequence of
this interaction, when the particle is electrically charged, it radiates. As
discussed in [1], the formula for the emission rate, to first perturbative
order, contains two terms: One is proportional to the Fourier component of the
noise field at the same frequency as that of the emitted photon and one is
proportional to the zero Fourier component of the noise field. As discussed in
previous works, this second term seems unphysical. In [1], it was shown that
the unphysical term disappears when the noises is confined to a bounded region
and the final particle's state is a wave packet. Here we investigate the origin
of the unphysical term and why it vanishes according to the previous
prescription. For this purpose, the electrodynamic part of the equation of
motion is solved exactly while the part due to the noise is treated
perturbatively. We show that the unphysical term is connected to exponentially
decaying function of time which dies out in the large time limit, however,
approximates to 1 in the first perturbative order in the electromagnetic field.


title:
Electrically Detected Magnetic Resonance Modeling and Fitting: An
  Equivalent Circuit Approach

abstract:
  Continuous-wave electrically detected magnetic resonance (cw-EDMR or just
EDMR) and its variants are powerful tools to investigate spin-dependent
processes in materials and devices. The use of quadrature detection improves
the quality and selectivity of EDMR analysis by allowing, for example, the
separation of individual resonant spin lines. Here we propose an equivalent
circuit model in order to better understand the EDMR quadrature signal in a
variety of different situations. The model considers not just the electrical
response of the sample but of cables and measuring circuit and its influence on
the resulting spectral lines. Recent EDMR spectra from Alq3 based OLEDs, as
well as from a-Si:H reported in the literature, were successfully described by
the model. Moreover, the model allows the implementation of a fitting routine
that can be easily used to determine accurate values of crucial parameters such
as g-factor and linewidth of the resonant lines.


title:
Using symmetry to generate solutions to the Helmholtz equation inside an
  equilateral triangle

abstract:
  We prove that every solution of the Helmholtz equation within an equilateral
triangle, which obeys the Dirichlet conditions on the boundary, is a member of
one of four symmetry classes. We then show how solutions with different
symmetries, or different energies, can be generated from any given solution
using symmetry operators or a differential operator derived from symmetry
considerations. Our method also provides a novel way of generating the ground
state solution (that is, the solution with the lowest energy). Finally, we
establish a correspondence between solutions in the equilateral and (30,60, 90)
triangles.


title: Overview of Web Content Mining Tools

abstract:
  Nowadays, the Web has become one of the most widespread platforms for
information change and retrieval. As it becomes easier to publish documents, as
the number of users, and thus publishers, increases and as the number of
documents grows, searching for information is turning into a cumbersome and
time-consuming operation. Due to heterogeneity and unstructured nature of the
data available on the WWW, Web mining uses various data mining techniques to
discover useful knowledge from Web hyperlinks, page content and usage log. The
main uses of web content mining are to gather, categorize, organize and provide
the best possible information available on the Web to the user requesting the
information. The mining tools are imperative to scanning the many HTML
documents, images, and text. Then, the result is used by the search engines. In
this paper, we first introduce the concepts related to web mining; we then
present an overview of different Web Content Mining tools. We conclude by
presenting a comparative table of these tools based on some pertinent criteria.


title:
Study on optimization of water Cherenkov detector array of LHAASO
  project for surveying VHE gamma rays sources

abstract:
  A water Cherenkov detector array, LHAASO-WCDA, is proposed to be built at
Shangri-la, Yunnan Province, China. As one of the major components of the
LHAASO project, the main purpose of it is to survey the northern sky for gamma
ray sources in the energy range from 100 GeV to 30 TeV. In order to design the
water Cherenkov array efficiently to economize the budget, a Monte Carlo
simulation is proceeded. With the help of the simulation, cost performance of
different configurations of the array is obtained and compared with each other,
serving as a guide for the more detailed design of the experiment in the next
step.


title: Entanglement Detection and Distillation for Arbitrary Bipartite Systems

abstract:
  We present an inequality for detecting entanglement and distillability of
arbitrary dimensional bipartite systems. This inequality provides a sufficient
condition of entanglement for bipartite mixed states, and a necessary and
sufficient condition of entanglement for bipartite pure states. Moreover, the
inequality also gives a necessary and sufficient condition for distillability.


title: The Mopra Southern Galactic Plane CO Survey

abstract:
  We present the first results from a new carbon monoxide (CO) survey of the
southern Galactic plane being conducted with the Mopra radio telescope in
Australia. The 12CO, 13CO and C18O J=1-0 lines are being mapped over the l =
305-345 deg, b = +/- 0.5 deg portion of the 4th quadrant of the Galaxy, at 35"
spatial and 0.1 km/s spectral resolution. The survey is being undertaken with
two principal science objectives: (i) to determine where and how molecular
clouds are forming in the Galaxy and (ii) to probe the connection between
molecular clouds and the "missing" gas inferred from gamma-ray observations. We
describe the motivation for the survey, the instrumentation and observing
techniques being applied, and the data reduction and analysis methodology. In
this paper we present the data from the first degree surveyed, l = 323-324 deg,
b = +/- 0.5 deg. We compare the data to the previous CO survey of this region
and present metrics quantifying the performance being achieved; the rms
sensitivity per 0.1 km/s velocity channel is ~1.5K for 12CO and ~0.7K for the
other lines. We also present some results from the region surveyed, including
line fluxes, column densities, molecular masses, 12CO/13CO line ratios and 12CO
optical depths. We also examine how these quantities vary as a function of
distance from the Sun when averaged over the 1 square degree survey area.
Approximately 2 x 10E6 MSun of molecular gas is found along the G323 sightline,
with an average H2 number density of nH2 ~ 1 cm-3 within the Solar circle. The
CO data cubes will be made publicly available as they are published.


title: Incarnation in Ludics and maximal cliques of paths

abstract:
  Ludics is a reconstruction of logic with interaction as a primitive notion,
in the sense that the primary logical concepts are no more formulas and proofs
but cut-elimination interpreted as an interaction between objects called
designs. When the interaction between two designs goes well, such two designs
are said to be orthogonal. A behaviour is a set of designs closed under
bi-orthogonality. Logical formulas are then denoted by behaviours. Finally
proofs are interpreted as designs satisfying particular properties. In that
way, designs are more general than proofs and we may notice in particular that
they are not typed objects. Incarnation is introduced by Girard in Ludics as a
characterization of "useful" designs in a behaviour. The incarnation of a
design is defined as its subdesign that is the smallest one in the behaviour
ordered by inclusion. It is useful in particular because being "incarnated" is
one of the conditions for a design to denote a proof of a formula. The
computation of incarnation is important also as it gives a minimal denotation
for a formula, and more generally for a behaviour. We give here a constructive
way to capture the incarnation of the behaviour of a set of designs, without
computing the behaviour itself. The method we follow uses an alternative
definition of designs: rather than defining them as sets of chronicles, we
consider them as sets of paths, a concept very close to that of play in game
semantics that allows an easier handling of the interaction: the unfolding of
interaction is a path common to two interacting designs.


title: On macroscopic dimension of universal coverings of closed manifolds

abstract:
  We give a homological characterization of $n$-manifolds whose universal
covering $\Wi M$ has Gromov's macroscopic dimension $\dim_{mc}\Wi M<n$. As the
result we distinguish $\dim_{mc}$ from the macroscopic dimension $\dim_{MC}$
defined by the author \cite{Dr}. We prove the inequality $\dim_{mc}\Wi
M<\dim_{MC}\Wi M=n$ for every closed $n$-manifold $M$ whose fundamental group
$\pi$ is a geometrically finite amenable duality group with the cohomological
dimension $cd(\pi)> n$.


title:
A tour through $\delta$-invariants: From Nash's embedding theorem to
  ideal immersions, best ways of living and beyond

abstract:
  First I will explain my motivation to introduce the $\delta$-invariants for
Riemannian manifolds. I will also recall the notions of ideal immersions and
best ways of living. Then I will present a few of the many applications of
$\delta$-invariants to several areas in mathematics. Finally, I will present
two optimal inequalities involving $\delta$-invariants for Lagrangian
submanifolds obtained very recently in joint papers with F. Dillen, J. Van der
Veken and L. Vrancken.


title: Algebraic Equations Solved with Jacobi Elliptic Functions

abstract:
  In this article we solve a class of two parameter polynomial-quintic
equation. The solution follows if we consider the Jacobian elliptic function
$sn$ and relate it with the coefficients of the equation. The solution is the
elliptic singular modulus $k$.


title:
La formule des traces stable pour le groupe m\'etaplectique: les termes
  elliptiques

abstract:
  Let F be a number field and $\widetilde{\mathrm{Sp}}(2n)$ be the metaplectic
covering of Weil of $\mathrm{Sp}(2n, \mathbb{A}_F)$. We stabilize the elliptic
semi-simple terms of the genuine part of trace formula for
$\widetilde{\mathrm{Sp}}(2n)$, by using the transfer of test functions and the
fundamental lemma established in a previous article. We obtain therefore an
expression in terms of stable orbital integrals along certain $F$-elliptic
classes in $\mathrm{SO}(2n'+1) \times \mathrm{SO}(2n''+1)$, which we call
equisingular, for pairs $(n', n'')$ satisfying $n'+n''=n$. A simple formula for
the coefficients is also obtained.


title: Global Weyl groups and a new theory of multiplicative quiver varieties

abstract:
  In previous work a relation between a large class of Kac-Moody algebras and
meromorphic connections on global curves was established---notably the Weyl
group gives isomorphisms between different moduli spaces of connections, and
the root system is also seen to play a role. This involved a modular
interpretation of many Nakajima quiver varieties, as moduli spaces of
connections, whenever the underlying graph was a complete k-partite graph (or
more generally a supernova graph). However in the isomonodromy story, or wild
nonabelian Hodge theory, slightly larger moduli spaces of connections are
considered. This raises the question of whether the full moduli spaces admit
Weyl group isomorphisms, rather than just the open parts isomorphic to quiver
varieties. This question will be solved here, by developing a "multiplicative
version" of the previous approach. This amounts to constructing many algebraic
symplectic isomorphisms between wild character varieties. This approach also
enables us to state a conjecture for certain irregular Deligne--Simpson
problems and introduce some noncommutative algebras, generalising the
"generalised double affine Hecke algebras".


title: Pandiagonal and Knut Vik Sudoku Squares

abstract:
  We present systematic methods of constructing pandiagonal sudoku squares of
order k*k and Knut Vik sudoku squares of order k*k not divisible by 2 or 3.
Pandiagonal magic squares are constructed from these squares. Examples of all
these squares are given.


title: The Chern-Simons term in a dual Josephson junction

abstract:
  A dual Josephson junction corresponding to a (2+1)-dimensional
non-superconducting layer sandwiched between two (3+1)-dimensional dual
superconducting regions constitutes a model of localization of a U(1) gauge
field within the layer. Monopole tunneling currents flow from one dual
superconducting region to another due to a phase difference between the wave
functions of the monopole condensate below and above the non-superconducting
layer when there is an electromagnetic field within the layer. These magnetic
currents appear within the (2+1)-dimensional layer as a gas of magnetic
instanton events and a weak electric charge confinement is expected to take
place at very long distances within the layer. In the present work, we consider
what happens when one introduces fermions in this physical scenario. Due to the
dual Meissner effect featured in the dual superconducting bulk, it is argued
that unconfined fermions would be localized within the (2+1)-dimensional layer,
where their quantum fluctuations radiatively induce a Chern-Simons term, which
is known to destroy the electric charge confinement and to promote the
confinement of the magnetic instantons.


title: On the structure of Finsler and areal spaces

abstract:
  We study underlying geometric structures for integral variational
functionals, depending on submanifolds of a given manifold. Applications
include (first order) variational functionals of Finsler and areal geometries
with integrand the Hilbert 1-form, and admit immediate extensions to
higher-order functionals.


title: Coherent terabit communications with microresonator Kerr frequency combs

abstract:
  Optical frequency combs enable coherent data transmission on hundreds of
wavelength channels and have the potential to revolutionize terabit
communications. Generation of Kerr combs in nonlinear integrated microcavities
represents a particularly promising option enabling line spacings of tens of
GHz, compliant with wavelength-division multiplexing (WDM) grids. However, Kerr
combs may exhibit strong phase noise and multiplet spectral lines, and this has
made high-speed data transmission impossible up to now. Recent work has shown
that systematic adjustment of pump conditions enables low phase-noise Kerr
combs with singlet spectral lines. Here we demonstrate that Kerr combs are
suited for coherent data transmission with advanced modulation formats that
pose stringent requirements on the spectral purity of the optical source. In a
first experiment, we encode a data stream of 392 Gbit/s on subsequent lines of
a Kerr comb using quadrature phase shift keying (QPSK) and 16-state quadrature
amplitude modulation (16QAM). A second experiment shows feedback-stabilization
of a Kerr comb and transmission of a 1.44 Tbit/s data stream over a distance of
up to 300 km. The results demonstrate that Kerr combs can meet the highly
demanding requirements of multi-terabit/s coherent communications and thus
offer a solution towards chip-scale terabit/s transceivers.


title:
Local and Nonlocal Advected Invariants and Helicities in
  Magnetohydrodynamics and Gas Dynamics II: Noether's Theorems and Casimirs

abstract:
  Conservation laws in ideal gas dynamics and magnetohydrodynamics (MHD)
associated with fluid relabelling symmetries are derived using Noether's first
and second theorems. Lie dragged invariants are discussed in terms of the MHD
Casimirs. A nonlocal conservation law for fluid helicity applicable for a
non-barotropic fluid involving Clebsch variables is derived using Noether's
theorem, in conjunction with a fluid relabelling symmetry and a gauge
transformation. A nonlocal cross helicity conservation law involving Clebsch
potentials, and the MHD energy conservation law are derived by the same method.
An Euler Poincar\'e variational approach is also used to derive conservation
laws associated with fluid relabelling symmetries using Noether's second
theorem.


title:
An Optimal Choice of Reference for the Quasi-Local Gravitational Energy
  and Angular Momentum

abstract:
  The boundary term of the gravitational Hamiltonian can be used to give the
values of the quasi-local quantities as long as one can provide a suitable
evolution vector field and an appropriate reference. On the two-surface
boundary of a region we have proposed using {\em four dimensional isometric
matching} between the dynamic spacetime and the reference geometry along with
energy extremization to find both the optimal reference matching and the
appropriate quasi-Killing vectors. Here we consider the axisymmetric spacetime
case. For the Kerr metric in particular we can explicitly solve the equations
to find the best matched reference and quasi-Killing vectors. This leads to the
exact expression for the quasi-local boundary term and the values of our
optimal quasi-local energy and angular momentum.


title: Searching for supersymmetry in Z' decays

abstract:
  I investigate production and decay of heavy neutral gauge bosons Z' in
GUT-inspired U(1)' groups and in the Sequential Standard Model. In particular,
decays into supersymmetric particles, such as slepton, chargino and neutralino
pairs, as predicted in the MSSM, are accounted for, with a special interest in
final states with leptons and missing energy. For a representative point of the
parameter space, it is found that the inclusion of supersymmetric decay modes
has an impact of 200-300 GeV on the Z' mass exclusion limits.


title:
Brane solitons of (1,0) superconformal theories in six dimensions with
  hypermultiplets

abstract:
  We solve the Killing spinor equations of 6-dimensional (1,0) superconformal
theories which include hyper-multiplets in all cases. We show that the
solutions preserve 1,2,3,4 and 8 supersymmetries. We find models with self-dual
string solitons which are smooth and supported by instantons with an arbitrary
gauge group, and 3-brane solitons as expected from the M-brane intersection
rules.