title: The yellow hypergiant - B[e] supergiant connection

abstract:
  B[e] supergiants and yellow hypergiants share a number of common properties
regarding their circumstellar environments. Using the forbidden [O I] and [Ca
II] lines as disk tracers, we suggest the presence of a Keplerian disk or ring
around the yellow hypergiant V509 Cas and confirm the pole-on inner disk around
V1302 Aql. These findings indicate a change in mass-loss behavior from
spherical in cooler yellow hypergiants to axisymmetric in the hotter ones
during the passage through the Yellow Void. The accumulation of material in the
equatorial plane reminds of the disks of B[e] supergiants, supporting the
suggestion that yellow hypergiants might appear as B[e] supergiants after they
reach the blue edge of the yellow instability domain.


title:
Intermolecular orientations in liquid acetonitrile: new insights based
  on diffraction measurements and all-atom simulations

abstract:
  Intermolecular correlations in liquid acetonitrile (CH3CN) have been
revisited by calculating orientational correlation functions. In the present
approach, hydrogen atoms are included, so that a concept applicable for
molecules of (nearly) tetrahedral shape can be exploited. In this way molecular
arrangements are elucidated not only for closest neighbours but also extending
well beyond the first coordination sphere. Thus a complementary viewpoint is
provided to the more popular dipole-dipole correlations. Our calculations are
based on large structural models that were obtained by applying diffraction
data and partial radial distribution functions from potential-based (all-atom)
molecular dynamics simulation simultaneously, within the framework of the
Reverse Monte Carlo method.


title:
Images and Spectral Properties of Two Component Advective Flows Around
  Black Holes: Effects of Photon Bending

abstract:
  Two component advective flow (TCAF) successfully explains spectral and timing
properties of black hole candidates. We study the nature of photon trajectories
in the vicinity of a Schwarzschild black hole and incorporate this in
predicting images of TCAF with a black hole at the Centre. We also compute the
emitted spectra. We employ a Monte-Carlo simulation technique to achieve our
goal. For accurate prediction of the image and the spectra, null trajectories
are generated without constraining the motion to any specific plane. Red shift,
bolometric flux and corresponding temperature have been calculated with
appropriate relativistic consideration. The centrifugal barrier dominated
boundary layer or CENBOL near the inner region of the disk which acts as the
Compton cloud is appropriately modelled as a thick accretion disk in
Schwarzschild geometry for the purpose of imaging and computing spectra. The
variations of spectra and image with physical parameters such as the accretion
rate ($\dot{m}_d$) and inclination angle are presented. We show that the
gravitational bending effects of photons do change the spectral shape to some
extent.


title: Overview of recent physics results from MAST

abstract:
  New results from MAST are presented that focus on validating models in order
to extrapolate to future devices. Measurements during start-up experiments have
shown how the bulk ion temperature rise scales with the square of the
reconnecting field. During the current ramp up models are not able to correctly
predict the current diffusion. Experiments have been performed looking at edge
and core turbulence. At the edge detailed studies have revealed how filament
characteristic are responsible for determining the near and far SOL density
profiles. In the core the intrinsic rotation and electron scale turbulence have
been measured. The role that the fast ion gradient has on redistributing fast
ions through fishbone modes has led to a redesign of the neutral beam injector
on MAST Upgrade. In H-mode the turbulence at the pedestal top has been shown to
be consistent with being due to electron temperature gradient modes. A
reconnection process appears to occur during ELMs and the number of filaments
released determines the power profile at the divertor. Resonant magnetic
perturbations can mitigate ELMs provided the edge peeling response is maximised
and the core kink response minimised. The mitigation of intrinsic error fields
with toroidal mode number n>1 has been shown to be important for plasma
performance.


title: Symmetry in the open-system dynamics of quantum correlations

abstract:
  We study the symmetry properties in the dynamics of quantum correlations for
two-qubit systems in one-sided noisy channels, with respect to a switch in the
location of noise from one qubit to the other. We consider four different
channel types, namely depolarizing, amplitude damping, bit-flip, and
bit-phase-flip channel, and identify the classes of initial states leading to
symmetric decay of entanglement, non-locality and discord. Our results show
that the symmetric decay of quantum correlations is not directly linked to the
presence or absence of symmetry in the initial state, while it does depend on
the type of correlation considered as well as on the type noise. We prove that
asymmetric decay can be used to infer, in certain cases, characteristic
properties of the channel. We also show that the location of noise may lead to
dramatic changes in the persistence of phenomena such as entanglement sudden
death and time-invariant discord.


title: Quantifying gender preferences across humans lifespan

abstract:
  In human relations individuals' gender and age play a key role in the
structures and dynamics of their social arrangements. In order to analyze the
gender preferences of individuals in interaction with others at different
stages of their lives we study a large mobile phone dataset. To do this we
consider four fundamental gender-related caller and callee combinations of
human interactions, namely male to male, male to female, female to male, and
female to female, which together with age, kinship, and different levels of
friendship give rise to a wide scope of human sociality. Here we analyse the
relative strength of these four types of interaction using a large dataset of
mobile phone communication records. Our analysis suggests strong age dependence
for an ego of one gender choosing to call an individual of either gender. We
observe a strong opposite sex bonding across most of their reproductive age.
However, older women show a strong tendency to connect to another female that
is one generation younger in a way that is suggestive of the
\emph{grandmothering effect}. We also find that the relative strength among the
four possible interactions depends on phone call duration. For calls of medium
and long duration, opposite gender interactions are significantly more probable
than same gender interactions during the reproductive years, suggesting
potential emotional exchange between spouses. By measuring the fraction of
calls to other generations we find that mothers tend to make calls more to
their daughters than to their sons, whereas fathers make calls more to their
sons than to their daughters. For younger people, most of their calls go to
same generation alters, while older people call the younger people more
frequently, which supports the suggestion that \emph{affection flows downward}.


title: Calculating transient rates from surveys

abstract:
  We have developed a method to determine the transient surface density and
transient rate for any given survey, using Monte-Carlo simulations. This method
allows us to determine the transient rate as a function of both the flux and
the duration of the transients in the whole flux-duration plane rather than one
or a few points as currently available methods do. It is applicable to every
survey strategy that is monitoring the same part of the sky, regardless the
instrument or wavelength of the survey, or the target sources. We have
simulated both top-hat and Fast Rise Exponential Decay light curves,
highlighting how the shape of the light curve might affect the detectability of
transients. Another application for this method is to estimate the number of
transients of a given kind that are expected to be detected by a survey,
provided that their rate is known.


title:
Space Telescope and Optical Reverberation Mapping Project VI:
  reverberating Disk Models for NGC 5548

abstract:
  We conduct a multiwavelength continuum variability study of the Seyfert 1
galaxy NGC 5548 to investigate the temperature structure of its accretion disk.
The 19 overlapping continuum light curves (1158 to 9157 angstroms) combine
simultaneous HST , Swift , and ground-based observations over a 180 day period
from 2014 January to July. Light-curve variability is interpreted as the
reverberation response of the accretion disk to irradiation by a central
time-varying point source. Our model yields the disk inclination, i,
temperature T1 at 1 light day from the black hole, and a temperature-radius
slope, alpha. We also infer the driving light curve and find that it correlates
poorly with both the hard and soft X-ray light curves, suggesting that the
X-rays alone may not drive the ultraviolet and optical variability over the
observing period. We also decompose the light curves into bright, faint, and
mean accretion-disk spectra. These spectra lie below that expected for a
standard blackbody accretion disk accreting at L/LEdd = 0.1


title:
Anisotropic conjugated polymer chain conformation tailors the energy
  migration in nanofibers

abstract:
  Conjugated polymers are complex multi-chromophore systems, with emission
properties strongly dependent on the electronic energy transfer through active
sub-units. Although the packing of the conjugated chains in the solid state is
known to be a key factor to tailor the electronic energy transfer and the
resulting optical properties, most of the current solution-based processing
methods do not allow for effectively controlling the molecular order, thus
making the full unveiling of energy transfer mechanisms very complex. Here we
report on conjugated polymer fibers with tailored internal molecular order,
leading to a significant enhancement of the emission quantum yield. Steady
state and femtosecond time-resolved polarized spectroscopies evidence that
excitation is directed toward those chromophores oriented along the fiber axis,
on a typical timescale of picoseconds. These aligned and more extended
chromophores, resulting from the high stretching rate and electric field
applied during the fiber spinning process, lead to improved emission
properties. Conjugated polymer fibers are relevant to develop optoelectronic
plastic devices with enhanced and anisotropic properties.


title: Focal adhesion kinase - the reversible molecular mechanosensor

abstract:
  Sensors are the first element of the pathways that control the response of
cells to their environment. After chemical, the next most important cue is
mechanical, and protein complexes that produce or enable a chemical signal in
response to a mechanical stimulus are called mechanosensors. There is a sharp
distinction between sensing an external force or pressure/tension applied to
the cell, and sensing the mechanical stiffness of the environment. We call the
first mechanosensitivity of the 1st kind, and the latter mechanosensitivity of
the 2nd kind. There are two variants of protein complexes that act as
mechanosensors of the 2nd kind: producing either a one-off or a reversible
action. The latent complex of TGF-$\beta$ is an example of the one-off action:
on the release of active TGF-$\beta$ signal, the complex is discarded and needs
to be replaced. In contrast, focal adhesion kinase (FAK) in a complex with
integrin is a reversible mechanosensor, which initiates the chemical signal in
its active phosphorylated conformation, but can spontaneously return to its
closed folded conformation. Here we study the physical mechanism of the
reversible mechanosensor of the 2nd kind, using FAK as a practical example. We
find how the rates of conformation changes depend on the substrate stiffness
and the pulling force applied from the cell cytoskeleton. The results compare
well with the phenotype observations of cells on different substrates.


title:
Temporal evolution of auto-oscillations in a YIG/Pt microdisc driven by
  pulsed spin Hall effect-induced spin-transfer torque

abstract:
  The temporal evolution of pulsed Spin Hall Effect - Spin Transfer Torque
(SHE-STT) driven auto-oscillations in a Yttrium Iron Garnet (YIG) / platinum
(Pt) microdisc is studied experimentally using time-resolved Brillouin Light
Scattering (BLS) spectroscopy. It is demonstrated that the frequency of the
auto-oscillations is different in the center and at the edge of the
investigated disc that is related to the simultaneous STT excitation of a
bullet and a non-localized spin-wave mode. Furthermore, the magnetization
precession intensity is found to saturate on a time scale of 20 ns or longer,
depending on the current density. For this reason, our findings suggest that a
proper ratio between the current and the pulse duration is of crucial
importance for future STT-based devices.


title:
The Slow Orbital Evolution of the Accreting Millisecond Pulsar IGR
  J0029+5934

abstract:
  The accreting millisecond pulsars IGR J00291+5934 and SAX J1808.4-3658 are
two compact binaries with very similar orbital parameters. The latter has been
observed to evolve on a very short timescale of ~70 Myr which is more than an
order of magnitude shorter than expected. There is an ongoing debate on the
possibility that the pulsar spin-down power ablates the companion generating
large amount of mass-loss in the system. It is interesting therefore to study
whether IGR J00291+5934 does show a similar behaviour as its twin system SAX
J1808.4-3658. In this work we present the first measurement of the orbital
period derivative of IGR J00291+5934. By using XMM-Newton data recorded during
the 2015 outburst and adding the previous results of the 2004 and 2008
outbursts, we are able to measure a 90% confidence level upper limit for the
orbital period derivative of -5x10^-13<Pb_dot<6x10^-13. This implies that the
binary is evolving on a timescale longer than ~0.5 Gyr, which is compatible
with the expected timescale of mass transfer driven by angular momentum loss
via gravitational radiation. We discuss the scenario in which the power loss
from magnetic dipole radiation of the neutron star is hitting the companion
star. If this model is applied to SAX J1808.4-3658 then the difference in
orbital behavior can be ascribed to a different efficiency for the conversion
of the spin-down power into energetic relativistic pulsar wind and
X-ray/gamma-ray radiation for the two pulsars, with IGR J00291+5934 requiring
an extraordinarily low efficiency of less than 5% to explain the observations.
Alternatively, the donor in IGR J00291+5934 is weakly/not magnetized which
would suppress the possibility of generating mass-quadrupole variations.


title: Percolation framework to describe El Ni\~no conditions

abstract:
  Complex networks have been used intensively to investigate the flow and
dynamics of many natural systems including the climate system. Here, we develop
a percolation based measure, the order parameter, to study and quantify climate
networks. We find that abrupt transitions of the order parameter usually occur
$\sim$1 year before El Ni\~{n}o ~ events, suggesting that they can be used as
early warning precursors of El Ni\~{n}o. Using this method we analyze several
reanalysis datasets and show the potential for good forecasting of El Ni\~{n}o.
The percolation based order parameter exhibits discontinuous features,
indicating possible relation to the first order phase transition mechanism.


title: Polarized emission from of an off-centred dipole

abstract:
  Radio polarization measurements of pulsed emission from pulsars offer a
valuable insight into the basic geometry of the neutron star: inclination angle
between the magnetic and rotation axis and inclination of the line of sight. So
far, all studies about radio polarization focused on the standard rotating
vector model with the underlying assumption of a centred dipole. In this
letter, we extend this model to the most general off-centred dipole
configuration and give an exact closed analytic expression for the
phase-resolved polarization angle. It is shown that contrary to the rotating
vector model, for an off-centred dipole, the polarization angle also depends on
the emission altitude. Although the fitting parameter space increases from two
to six (position of the dipole, altitude and shift of the zero phase),
statistical analysis should remain tractable. Observations revealing an
evolution of the polarization angle with frequency would undeniably furnish a
strong hint for the presence of a decentred magnetic dipole in neutron stars.


title: On centers of blocks with non-cyclic defect groups

abstract:
  In this short note we study the center ZB of a block B of a finite group over
an algebraically closed field of prime characteristic through its Loewy length
llZB. A result of Okuyama in 1981 gave an upper bound for llZB in terms of
defect group of B. The purpose of this note is to improve this bound for
non-cyclic defect groups.


title: Testing conformal mapping with kitchen aluminum foil

abstract:
  We report an experimental verification of conformal mapping with kitchen
aluminum foil. This experiment can be reproduced in any laboratory by
undergraduate students and it is therefore an ideal experiment to introduce the
concept of conformal mapping. The original problem was the distribution of the
electric potential in a very long plate. The correct theoretical prediction was
recently derived by A. Czarnecki (Can. J. Phys. 92, 1297 (2014)).


title:
Theory of single photon detection by 'dirty' current-carrying
  superconducting strip based on the kinetic equation approach

abstract:
  Using kinetic equation approach we study dynamics of electrons and phonons in
current-carrying superconducting nanostrips after absorption of single photon
of near-infrared or optical range. We find that the larger the ratio
$C_e/C_{ph}|_{T_c}$ ($T_c$ is a critical temperature of superconductor, $C_e$
and $C_{ph}$ are specific heat capacities of electrons and phonons,
respectively) the larger part of photon's energy goes to electrons, they become
stronger heated and, hence, could thermalize faster during initial stage of hot
spot formation. Thermalization time $\tau_{th}$ could be less than one
picoseconds for superconductors with $C_e/C_{ph}|_{T_c}\gg 1$ and small
diffusion coefficient $D\simeq 0.5 cm^2/s$ when thermalization occurs mainly
due to electron-phonon and phonon-electron scattering in relatively small
volume $\sim \xi^2d$ ($\xi$ is a superconducting coherence length, $d<\xi$ is a
thickness of the strip). At larger times due to diffusion of hot electrons
effective temperature inside the hot spot decreases, the size of hot spot
increases, superconducting state becomes unstable and normal domain spreads in
the strip at current larger than so-called detection current. We find
dependence of detection current on the photon's energy, place of its absorption
in the strip, width of the strip, magnetic field and compare it with existing
experiments. Our results demonstrate that materials with $C_e/C_{ph}|_{T_c} \ll
1$ are bad candidates for single photon detectors due to small transfer of
photon's energy to electronic system and large $\tau_{th}$. We also predict
that even several microns wide dirty superconducting bridge is able to detect
single near-infrared or optical photon if its critical current exceeds 70 $\%$
of depairing current and $C_e/C_{ph}|_{T_c} \gtrsim 1$.


title: Full and special Colombeau algebras

abstract:
  We introduce full diffeomorphism-invariant Colombeau algebras with added
$\varepsilone$-dependence in the basic space. This unites the full and special
settings of the theory into one single framework. Using locality conditions we
find the appropriate definition of point values in full Colombeau algebras and
show that special generalized points suffice to characterize elements of full
Colombeau algebras. Moreover, we specify sufficient conditions for the sheaf
property to hold and give a definition of the sharp topology in this framework.


title:
A polarimetric approach for constraining the dynamic foreground spectrum
  for cosmological global 21-cm measurements

abstract:
  The cosmological global (sky-averaged) 21-cm signal is a powerful tool to
probe the evolution of the intergalactic medium (IGM) in high-redshift Universe
($z \leq 6$). One of the biggest observational challenges is to remove the
foreground spectrum which is at least four orders of magnitude brighter than
the cosmological 21-cm emission. Conventional global 21-cm experiments rely on
the spectral smoothness of the foreground synchrotron emission to separate it
from the unique 21-cm spectral structures in a single total-power spectrum.
However, frequency-dependent instrumental and observational effects are known
to corrupt such smoothness and complicates the foreground subtraction. We
introduce a polarimetric approach to measure the projection-induced
polarization of the anisotropic foreground onto a stationary dual-polarized
antenna. Due to Earth rotation, when pointing the antenna at a celestial pole,
the revolving foreground will modulate this polarization with a unique
frequency-dependent sinusoidal signature as a function of time. In our
simulations, by harmonic decomposing this dynamic polarization, our technique
produces two separate spectra in parallel from the same observation: (i) a
total sky power consisting both the foreground and the 21-cm background, (ii) a
model-independent measurement of the foreground spectrum at a harmonic
consistent to twice the sky rotation rate. In the absence of any instrumental
effects, by scaling and subtracting the latter from the former, we recover the
injected global 21-cm model within assumed uncertainty. We further discuss
several limiting factors and potential remedies for future implementation.


title: On the effects of ion-neutral interactions in solar plasmas

abstract:
  Solar photosphere and chromosphere are composed of weakly ionized plasma for
which collisional coupling decreases with height. This implies a breakdown of
some hypotheses underlying magnetohydrodynamics at low altitudes and gives rise
to non-ideal MHD effects such as ambipolar diffusion, Hall effect, etc.
Recently, there has been progress in understanding the role of these effects
for the dynamics and energetics of the solar atmosphere. There are evidences
that such phenomena as wave propagation and damping, magnetic reconnection,
formation of stable magnetic field concentrations, magnetic flux emergence,
etc. can be affected. This paper reviews the current state-of-the-art of
multi-fluid MHD modeling of the coupled solar atmosphere.


title: Absolutely classical spin states

abstract:
  We introduce the concept of "absolutely classical" spin states, in analogy to
absolutely separable states of bi-partite quantum systems. Absolutely classical
states are states that remain classical under any unitary transformation
applied to them. We investigate the maximum ball of absolutely classical states
centered on the fully mixed state that can be inscribed into the set of
classical states, and derive a lower bound for its radius as function of the
total spin quantum number. The result is compared to the case of absolutely
separable states.


title:
Burkholderia genome mining for nonribosomal peptide synthetases reveals
  a great potential for novel siderophores and lipopeptides synthesis

abstract:
  Burkholderia is an important genus encompassing a variety of species,
including pathogenic strains as well as strains that promote plant growth. We
have carried out a global strategy, which combined two complementary
approaches. The first one is genome guided with deep analysis of genome
sequences and the second one is assay guided with experiments to support the
predictions obtained in silico. This efficient screening for new secondary
metabolites, performed on 48 gapless genomes of Burkholderia species, revealed
a total of 161 clusters containing nonribosomal peptide synthetases (NRPSs),
with the potential to synthesize at least 11 novel products. Most of them are
siderophores or lipopeptides, two classes of products with potential
application in biocontrol. The strategy led to the identification, for the
first time, of the cluster for cepaciachelin biosynthesis in the genome of
Burkholderia ambifaria AMMD and a cluster corresponding to a new
malleobactin-like siderophore, called phymabactin, was identified in
Burkholderia phymatum STM815 genome. In both cases, the siderophore was
produced when the strain was grown in iron-limited conditions. Elsewhere, the
cluster for the antifungal burkholdin was detected in the genome of B.
ambifaria AMMD and also Burkholderia sp. KJ006. Burkholderia pseudomallei
strains harbor the genetic potential to produce a novel lipopeptide called
burkhomycin, containing a peptidyl moiety of 12 monomers. A mixture of
lipopeptides produced by Burkholderia rhizoxinica lowered the surface tension
of the supernatant from 70 to 27 mN/m. The production of nonribosomal secondary
metabolites seems related to the three phylogenetic groups obtained from 16S
rRNA sequences. Moreover, the genome-mining approach gave new insights into the
nonribosomal synthesis exemplified by the identification of dual C/E domains in
lipopeptide NRPSs, up to now essentially found in Pseudomonas strains.


title:
Deriving reproducible biomarkers from multi-site resting-state data: An
  Autism-based example

abstract:
  Resting-state functional Magnetic Resonance Imaging (R-fMRI) holds the
promise to reveal functional biomarkers of neuropsychiatric disorders. However,
extracting such biomarkers is challenging for complex multi-faceted
neuropatholo-gies, such as autism spectrum disorders. Large multi-site datasets
increase sample sizes to compensate for this complexity, at the cost of
uncontrolled heterogeneity. This heterogeneity raises new challenges, akin to
those face in realistic diagnostic applications. Here, we demonstrate the
feasibility of inter-site classification of neuropsychiatric status, with an
application to the Autism Brain Imaging Data Exchange (ABIDE) database, a large
(N=871) multi-site autism dataset. For this purpose, we investigate pipelines
that extract the most predictive biomarkers from the data. These R-fMRI
pipelines build participant-specific connectomes from functionally-defined
brain areas. Connectomes are then compared across participants to learn
patterns of connectivity that differentiate typical controls from individuals
with autism. We predict this neuropsychiatric status for participants from the
same acquisition sites or different, unseen, ones. Good choices of methods for
the various steps of the pipeline lead to 67% prediction accuracy on the full
ABIDE data, which is significantly better than previously reported results. We
perform extensive validation on multiple subsets of the data defined by
different inclusion criteria. These enables detailed analysis of the factors
contributing to successful connectome-based prediction. First, prediction
accuracy improves as we include more subjects, up to the maximum amount of
subjects available. Second, the definition of functional brain areas is of
paramount importance for biomarker discovery: brain areas extracted from large
R-fMRI datasets outperform reference atlases in the classification tasks.


title:
An End-to-End Spatio-Temporal Attention Model for Human Action
  Recognition from Skeleton Data

abstract:
  Human action recognition is an important task in computer vision. Extracting
discriminative spatial and temporal features to model the spatial and temporal
evolutions of different actions plays a key role in accomplishing this task. In
this work, we propose an end-to-end spatial and temporal attention model for
human action recognition from skeleton data. We build our model on top of the
Recurrent Neural Networks (RNNs) with Long Short-Term Memory (LSTM), which
learns to selectively focus on discriminative joints of skeleton within each
frame of the inputs and pays different levels of attention to the outputs of
different frames. Furthermore, to ensure effective training of the network, we
propose a regularized cross-entropy loss to drive the model learning process
and develop a joint training strategy accordingly. Experimental results
demonstrate the effectiveness of the proposed model,both on the small human
action recognition data set of SBU and the currently largest NTU dataset.


title:
Chiral Perturbation Theory at Finite Volume and/or with Twisted Boundary
  Conditions

abstract:
  In this talk we discuss a number of ChPT calculations relevant for lattice
QCD. These include the finite volume corrections at two-loop order for masses
and decay constants. The second part is about hadronic vacuum polarization
where we present the two-loop ChPT estimate for the disconnected and strange
quark contributions. We also present the finite volume corrections at two-loop
order. The final part is the one-loop finite volume with twisted boundary
conditions contribution to $f_+(q^2)$ and the full $K_{\ell3}$ amplitude


title: DeepVO: A Deep Learning approach for Monocular Visual Odometry

abstract:
  Deep Learning based techniques have been adopted with precision to solve a
lot of standard computer vision problems, some of which are image
classification, object detection and segmentation. Despite the widespread
success of these approaches, they have not yet been exploited largely for
solving the standard perception related problems encountered in autonomous
navigation such as Visual Odometry (VO), Structure from Motion (SfM) and
Simultaneous Localization and Mapping (SLAM). This paper analyzes the problem
of Monocular Visual Odometry using a Deep Learning-based framework, instead of
the regular 'feature detection and tracking' pipeline approaches. Several
experiments were performed to understand the influence of a known/unknown
environment, a conventional trackable feature and pre-trained activations tuned
for object classification on the network's ability to accurately estimate the
motion trajectory of the camera (or the vehicle). Based on these observations,
we propose a Convolutional Neural Network architecture, best suited for
estimating the object's pose under known environment conditions, and displays
promising results when it comes to inferring the actual scale using just a
single camera in real-time.


title:
Rope through Loop Insertion for Robotic Knotting: A Virtual Magnetic
  Field Formulation

abstract:
  Inserting an end of a rope through a loop is a common and important action
that is required for creating most types of knots. To perform this action, we
need to pass the end of the rope through an area that is enclosed by another
segment of rope. As for all knotting actions, the robot must for this exercise
control over a semi-compliant and flexible body whose complex 3d shape is
difficult to perceive and follow. Additionally, the target loop often deforms
during the insertion. We address this problem by defining a virtual magnetic
field through the loop's interior and use the Biot Savart law to guide the
robotic manipulator that holds the end of the rope. This approach directly
defines, for any manipulator position, a motion vector that results in a path
that passes through the loop. The motion vector is directly derived from the
position of the loop and changes as soon as it moves or deforms. In simulation,
we test the insertion action against dynamic loop deformation of different
intensity. We also combine insertion with grasp and release actions,
coordinated by a hybrid control system, to tie knots in simulation and with a
NAO robot.


title:
The break of shielding current at pulsed field magnetization of
  superconducting annuli

abstract:
  The superconducting current breaking effect at pulsed field magnetization of
HTS annuli was carefully investigated. It is proposed the simple model for
qualitative description of this process. In particular, it is shown the
appearance of a narrow sector of the considerable heating through which the
magnetic flux penetrates into the superconducting annuli.


title: Variants of intrinsic disorder in the human proteome

abstract:
  In this paper we propose a straightforward operational definition of variants
of disordered proteins, taking the human proteome as a case study. The focus is
on a distinction between mostly unstructured proteins and proteins which
contain long unstructured regions accommodated in an overall folded structure.
In particular we distinguish: i) Not disordered proteins (NDPs), that either
have all their residues ordered or do not have disordered segments longer than
30 residues nor more than 30% of disordered residues; ii) Proteins with
intrinsically disordered regions (IDRPs), that have at least one disordered
domain longer than 30 residues, but disordered in less than 30% of their
residues; iii) Proteins that are intrinsically disordered (IDPs), that have
both at least one disordered segment longer than 30 residues and that are
disordered on more than 30% of their residues; iv) Proteins with fragmented
disorder (FRAG_IDPs), that do not have a disordered fragment longer than 30
residues but that, nevertheless, have at least 30% or more of their residues
predicted as disordered. The potential use of these variants is checked over
several groups of disease-related proteins. Our main conclusions point out that
IDRPs are more similar to NDPs than to IDPs. IDRPs and NDPs have a similar
functional repertoire and probably share a lock-and-key mechanism of
interaction with substrates. IDRPs and IDPs are differently present among human
disease-related proteins. IDRPs probably do not play a specific role in the
development of complex diseases, since their frequency is similar in
disease-related proteins and in the entire human proteome. IDPs can play a role
in the emergence of cancer, neurodegenerative, thyroid and liver disease.


title: Limit shapes via bijections

abstract:
  We compute the limit shape for several classes of restricted integer
partitions, where the restrictions are placed on the part sizes rather than the
multiplicities. Our approach utilizes certain classes of bijections which map
limit shapes continuously in the plane. We start with bijections outlined
previously by the second author, and extend them to include limit shapes with
different scaling functions.


title: A note on distinguished bases of singularities

abstract:
  For an isolated hypersurface singularity which is neither simple nor simple
elliptic, it is shown that there exists a distinguished basis of vanishing
cycles which contains two basis elements with an arbitrary intersection number.
This implies that the set of Coxeter-Dynkin diagrams of such a singularity is
infinite, whereas it is finite for the simple and simple elliptic
singularities. For the simple elliptic singularities, it is shown that the set
of distinguished bases of vanishing cycles is also infinite. We also show that
some of the hyperbolic unimodal singularities have Coxeter-Dynkin diagrams like
the exceptional unimodal singularities.


title:
Einstein Geometrization Philosophy and Differential Identities in
  PAP-Geometry

abstract:
  The importance of Einstein's geometrization philosophy, as an alternative to
the least action principle, in constructing general relativity (GR), is
illuminated. The role of differential identities in this philosophy is
clarified. The use of Bianchi identity to write the field equations of GR is
shown. Another similar identity in the absolute parallelism geometry is given.
A more general differential identity in the parameterized absolute parallelism
geometry is derived. Comparison and interrelationships between the above
mentioned identities and their role in constructing field theories are
discussed.


title: Chiral transport of neutrinos in supernovae

abstract:
  The conventional neutrino transport theory for core-collapse supernovae
misses one key property of neutrinos: the left-handedness. The chirality of
neutrinos modifies the hydrodynamic behavior at the macroscopic scale and leads
to topological transport phenomena. We argue that such transport phenomena
should play important roles in the evolution of core-collapse supernovae, and,
in particular, lead to a tendency toward the inverse energy cascade from small
to larger scales, which may be relevant to the origin of the supernova
explosion.


title:
Lp estimates for the homogenization of stokes problem in a perforated
  domain

abstract:
  In this paper, we consider the Stokes equations in a perforated domain. When
the number of holes increases while their radius tends to 0, it is proven in
[L. Desvillettes, F. Golse and V. Ricci. The mean field limit for solid
particles in a Navier-Stokes flow. J. Stat. Phys. 131: 941-967, 2008], under
suitable dilution assumptions, that the solution is well-approximated
asymptotically by solving a Stokes-Brinkman equation. We provide here
quantitative estimates in L p-norms of this convergence.


title:
Fast and reconfigurable packet classification engine in FPGA-based
  firewall

abstract:
  In data communication via internet, security is becoming one of the most
influential aspects. One way to support it is by classifying and filtering
ethernet packets within network devices. Packet classification is a fundamental
task for network devices such as routers, firewalls, and intrusion detection
systems. In this paper we present architecture of fast and reconfigurable
Packet Classification Engine (PCE). This engine is used in FPGA-based firewall.
Our PCE inspects multi-dimensional field of packet header sequentially based on
tree-based algorithm. This algorithm simplifies overall system to a lower scale
and leads to a more secure system. The PCE works with an adaptation of single
cycle processor architecture in the system. Ethernet packet is examined with
PCE based on Source IP Address, Destination IP Address, Source Port,
Destination Port, and Protocol fields of the packet header. These are basic
fields to know whether it is a dangerous or normal packet before inspecting the
content. Using implementation of tree-based algorithm in the architecture,
firewall rules are rebuilt into 24-bit sub-rules which are read as processor
instruction in the inspection process. The inspection process is comparing one
sub-rule with input field of header every clock cycle. The proposed PCE shows
91 MHz clock frequency in Cyclone II EP2C70F896C6 with 13 clocks throughput
average from input to output generation. The use of tree-based algorithm
simplifies the multidimensional packet inspection and gives us reconfigurable
as well as scalable system. The architecture is fast, reliable, and adaptable
and also can maximize the advantages of the algorithm very well. Although the
PCE has high frequency and little amount of clock, filtering speed of a
firewall also depends on the other components, such as packet FIFO buffer. Fast
and reliable FIFO buffer is needed to support the PCE. This PCE also is not
completed with rule update mechanism yet. This proposed PCE is tested as a
component of FPGA-based firewall to filter Ethernet packet with FPGA DE2 Board
using NIOS II platform.


title:
A Machine Learning Approach to Model the Received Signal in Molecular
  Communications

abstract:
  A molecular communication channel is determined by the received signal.
Received signal models form the basis for studies focused on modulation,
receiver design, capacity, and coding depend on the received signal models.
Therefore, it is crucial to model the number of received molecules until time
$t$ analytically. Modeling the diffusion-based molecular communication channel
with the first-hitting process is an open issue for a spherical transmitter. In
this paper, we utilize the artificial neural networks technique to model the
received signal for a spherical transmitter and a perfectly absorbing receiver
(i.e., first hitting process). The proposed technique may be utilized in other
studies that assume a spherical transmitter instead of a point transmitter.


title:
A Generalized Stochastic Variational Bayesian Hyperparameter Learning
  Framework for Sparse Spectrum Gaussian Process Regression

abstract:
  While much research effort has been dedicated to scaling up sparse Gaussian
process (GP) models based on inducing variables for big data, little attention
is afforded to the other less explored class of low-rank GP approximations that
exploit the sparse spectral representation of a GP kernel. This paper presents
such an effort to advance the state of the art of sparse spectrum GP models to
achieve competitive predictive performance for massive datasets. Our
generalized framework of stochastic variational Bayesian sparse spectrum GP
(sVBSSGP) models addresses their shortcomings by adopting a Bayesian treatment
of the spectral frequencies to avoid overfitting, modeling these frequencies
jointly in its variational distribution to enable their interaction a
posteriori, and exploiting local data for boosting the predictive performance.
However, such structural improvements result in a variational lower bound that
is intractable to be optimized. To resolve this, we exploit a variational
parameterization trick to make it amenable to stochastic optimization.
Interestingly, the resulting stochastic gradient has a linearly decomposable
structure that can be exploited to refine our stochastic optimization method to
incur constant time per iteration while preserving its property of being an
unbiased estimator of the exact gradient of the variational lower bound.
Empirical evaluation on real-world datasets shows that sVBSSGP outperforms
state-of-the-art stochastic implementations of sparse GP models.


title:
A Spectral Characterization Of Geodesic Balls In Non-Compact Rank One
  Symmetric Spaces

abstract:
  In constant curvatures spaces, there are a lot of characterizations of
geodesic balls as optimal domain for shape optimization problems. Although it
is natural to expect similar characterizations in rank one symmetric spaces,
very few is known in this setting. In this paper we prove that, in a
non-compact rank one symmetric space, the geodesic balls uniquely maximize the
first Steklov eigenvalue among the domains of fixed volume, extending to this
context a result of Brock in the Euclidean space. Then we show that a stability
version of the ensuing Brock-Weinstock inequality holds. The idea behind the
proof is to exploit a suitable weighted isoperimetric inequality which we prove
to hold true, as well as in a stability form, on harmonic manifolds. Eventually
we show that, in general, the geodesic balls are not global maximizers on the
standard sphere.


title: On the convexity of numerical range over certain fields

abstract:
  Let $L$ be a degree $2$ Galois extension of the field $K$ and $M$ an $n\times
n$ matrix with coefficients in $L$. Let $\langle \ ,\ \rangle : L^n\times
L^n\to L$ be the sesquilinear form associated to the involution $\sigma: L\to
L$ fixing $K$. This sesquilinear form defines the numerical range
$\mathrm{Num}(M)$ of any $n\times n$ matrix over $L$. In this paper we study
the convexity of $\mathrm{Num}(M)$ (under certain assumptions on $K$ and/or
$M$). Many of the results are for ordered fields.


title: Universal dynamics for the defocusing logarithmic Schrodinger equation

abstract:
  We consider the nonlinear Schrodinger equation with a logarithmic
nonlinearity in a dispersive regime. We show that the presence of the
nonlinearity affects the large time behavior of the solution: the dispersion is
faster than usual by a logarithmic factor in time and the positive Sobolev
norms of the solution grow logarithmically in time. Moreover, after rescaling
in space by the dispersion rate, the modulus of the solution converges to a
universal Gaussian profile. These properties are suggested by explicit
computations in the case of Gaussian initial data, and remain when an extra
power-like nonlinearity is present in the equation. One of the key steps of the
proof consists in using the Madelung transform to reduce the equation to a
variant of the isothermal compressible Euler equation, whose large time
behavior turns out to be governed by a parabolic equation involving a
Fokker-Planck operator.


title: Generators of the pro-p Iwahori and Galois representations

abstract:
  For an odd prime p, we determine a minimal set of topological generators of
the pro-p Iwahori subgroup of a split reductive group G over Z\_p. In the
simple adjoint case and for any sufficiently large regular prime p, we also
construct Galois extensions of Q with Galois group between the pro-p and the
standard Iwahori subgroups of G.


title: Unintegrated Double Parton Distributions - a Summary

abstract:
  We present main elements of the construction of unintegrated double parton
distribution functions which depend on transverse momenta of partons. We follow
the method proposed by Kimber, Martin and Ryskin for a construction of
unintegrated single parton distributions from the standard parton distribution
functions.


title: Swarm Intelligence for Multiobjective Optimization of Extraction Process

abstract:
  Multi objective (MO) optimization is an emerging field which is increasingly
being implemented in many industries globally. In this work, the MO
optimization of the extraction process of bioactive compounds from the Gardenia
Jasminoides Ellis fruit was solved. Three swarm-based algorithms have been
applied in conjunction with normal-boundary intersection (NBI) method to solve
this MO problem. The gravitational search algorithm (GSA) and the particle
swarm optimization (PSO) technique were implemented in this work. In addition,
a novel Hopfield-enhanced particle swarm optimization was developed and applied
to the extraction problem. By measuring the levels of dominance, the optimality
of the approximate Pareto frontiers produced by all the algorithms were gauged
and compared. Besides, by measuring the levels of convergence of the frontier,
some understanding regarding the structure of the objective space in terms of
its relation to the level of frontier dominance is uncovered. Detail
comparative studies were conducted on all the algorithms employed and developed
in this work.


title:
Constraining models of twin peak quasi-periodic oscillations with
  realistic neutron star equations of state

abstract:
  Twin-peak quasi-periodic oscillations (QPOs) are observed in the X-ray
power-density spectra of several accreting low-mass neutron star (NS) binaries.
In our previous work we have considered several QPO models. We have identified
and explored mass-angular-momentum relations implied by individual QPO models
for the atoll source 4U 1636-53. In this paper we extend our study and confront
QPO models with various NS equations of state (EoS). We start with simplified
calculations assuming Kerr background geometry and then present results of
detailed calculations considering the influence of NS quadrupole moment
(related to rotationally induced NS oblateness) assuming Hartle-Thorne
spacetimes. We show that the application of concrete EoS together with a
particular QPO model yields a specific mass-angular-momentum relation. However,
we demonstrate that the degeneracy in mass and angular momentum can be removed
when the NS spin frequency inferred from the X-ray burst observations is
considered. We inspect a large set of EoS and discuss their compatibility with
the considered QPO models. We conclude that when the NS spin frequency in 4U
1636-53 is close to 580Hz we can exclude 51 from 90 of the considered
combinations of EoS and QPO models. We also discuss additional restrictions
that may exclude even more combinations. Namely, there are 13 EOS compatible
with the observed twin peak QPOs and the relativistic precession model.
However, when considering the low frequency QPOs and Lense-Thirring precession,
only 5 EOS are compatible with the model.


title: Determining $H_0$ with Bayesian hyper-parameters

abstract:
  We re-analyse recent Cepheid data to estimate the Hubble parameter $H_0$ by
using Bayesian hyper-parameters (HPs). We consider the two data sets from Riess
et al 2011 and 2016 (labelled R11 and R16, with R11 containing less than half
the data of R16) and include the available anchor distances (megamaser system
NGC4258, detached eclipsing binary distances to LMC and M31, and MW Cepheids
with parallaxes), use a weak metallicity prior and no period cut for Cepheids.
We find that part of the R11 data is down-weighted by the HPs but that R16 is
mostly consistent with expectations for a Gaussian distribution, meaning that
there is no need to down-weight the R16 data set. For R16, we find a value of
$H_0 = 73.75 \pm 2.11 \, \mathrm{km} \, \mathrm{s}^{-1} \, \mathrm{Mpc}^{-1}$
if we use HPs for all data points (including Cepheid stars, supernovae type Ia,
and the available anchor distances), which is about 2.6 $\sigma$ larger than
the Planck 2015 value of $H_0 = 67.81 \pm 0.92 \,\mathrm{km}\, \mathrm{s}^{-1}
\, \mathrm{Mpc}^{-1}$ and about 3.1 $\sigma$ larger than the updated Planck
2016 value $66.93 \pm 0.62 \,\mathrm{km}\, \mathrm{s}^{-1} \,
\mathrm{Mpc}^{-1}$. We test the effect of different assumptions, and find that
the choice of anchor distances affects the final value significantly. If we
exclude the Milky Way from the anchors, then the value of $H_0$ decreases. We
find however no evident reason to exclude the MW data. The HP method used here
avoids subjective rejection criteria for outliers and offers a way to test
datasets for unknown systematics.


title: Gluon TMDs in quarkonium production

abstract:
  Quarkonium production offers good possibilities to study gluon TMDs. In this
proceedings contribution this topic is explored for the linearly polarized
gluons inside unpolarized hadrons and unpolarized gluons inside transversely
polarized hadrons. It is argued that $\chi_{b0/2}$ and $\eta_b$ production at
LHC are best to study the effects of linearly polarized gluons in hadronic
collisions, by means of angular independent ratios of ratios of cross sections.
This can be directly compared to $\cos 2\phi$ asymmetries in heavy quark pair
and dijet production in DIS at a future high-energy Electron-Ion Collider
(EIC), which probe the same TMDs. In the small-$x$ limit this corresponds to
the Weizs\"acker-Williams (WW) gluon distributions, which should show a change
in behavior for transverse momenta around the saturation scale. Together with
investigations of the dipole (DP) gluon distributions, this can provide
valuable information about the polarization of the Color Glass Condensate if
sufficiently small $x$ are reached. Quarkonia can also be useful in the study
of single transverse spin asymmetries. For transversely polarized hadrons the
gluon distribution can be asymmetric, which is referred to as the Sivers
effect. It leads to single spin asymmetries in for instance $J/\psi$ (pair)
production at AFTER@LHC, which probe the WW or $f$-type gluon Sivers TMD. It
allows for a test of a sign-change relation w.r.t. the gluon Sivers TMD probed
at an EIC in open heavy quark pair production. Single spin asymmetries in
backward inclusive $C$-odd quarkonium production, such as $J/\psi$ production,
may offer probes of the DP or $d$-type gluon Sivers TMD at small $x$-values in
the polarized proton, which in that limit corresponds to a correlator of a
single Wilson loop, describing the spin-dependent odderon.


title: Some Model Theory of Hypergeometric and Pfaffian Functions

abstract:
  We present some results and open problems related to expansions of the field
of real numbers by hypergeometric and related functions focussing on
definability and model completeness questions. In particular, we prove the
strong model completeness for expansions of the field of real numbers by the
exponential, arctangent and hypergeometric functions. We pay special attention
to the expansion of the real field by the real and imaginary parts of the
hypergeometric function ${_2F_1}({1}/{2},{1}/{2};1;z)$ because of its close
relation to modular functions.


title:
Electronic structure and properties of (TiZrNbCu)_1-xNi_x high entropy
  amorphous alloys

abstract:
  A comprehensive study of selected properties of four (TiZrNbCu)_1-xNi_x (x
\le 0.25) amorphous high entropy alloys (a-HEA) has been performed. The samples
were ribbons about 20 \mum thick and their fully amorphous state was verified
by X-ray diffraction and thermal analysis. The surface morphology, precise
composition and the distribution of components were studied with a Scanning
electron microscope (SEM) with an energy dispersive spectroscopy (EDS)
attachment. The properties selected were the melting temperature (T_m), the low
temperature specific heat (LTSH), the magnetic susceptibility \chi_exp and the
Young^,s modulus (E). Whereas LTSH and \chi_exp were measured for the as-cast
samples, E was measured both for as-cast samples and relaxed samples (after a
short anneal close to the glass transition temperature). The LTSH showed that
the electronic density of states at the Fermi level, N_0(E_F), decreases with
increasing x, whereas the Debye temperature (\theta_D) increases with x. This
is similar to what is observed in binary and ternary amorphous alloys of early
transition metals (TE) with late transition metals (TL) and indicates that
N_0(E_F) is dominated by the d-electrons of the TE. The LTSH also showed the
absence of superconductivity down to 1.8K and indicated the emergence of the
Boson peak above 4K in all alloys.The free-electron like paramagnetic
contribution to \chi_exp also decreases with x, whereas E, like \theta_D,
increases with x, indicating enhanced interatomic bonding on addition of Ni.
The applicability of the rule of mixtures to these and other similar HEAs is
briefly discussed.


title: Epidemic spreading on complex networks with community structures

abstract:
  Many real-world networks display a community structure. We study two random
graph models that create a network with similar community structure as a given
network. One model preserves the exact community structure of the original
network, while the other model only preserves the set of communities and the
vertex degrees. These models show that community structure is an important
determinant of the behavior of percolation processes on networks, such as
information diffusion or virus spreading: the community structure can both
\textit{enforce} as well as \textit{inhibit} diffusion processes. Our models
further show that it is the mesoscopic set of communities that matters. The
exact internal structures of communities barely influence the behavior of
percolation processes across networks. This insensitivity is likely due to the
relative denseness of the communities.


title:
Correlation Length, Universality Classes, and Scaling Laws Associated
  with Topological Phase Transitions

abstract:
  The correlation functions related to topological phase transitions in
inversion-symmetric lattice models described by $2\times 2$ Dirac Hamiltonians
are discussed. In one dimension, the correlation function measures the
charge-polarization correlation between Wannier states at different positions,
while in two dimensions it measures the itinerant-circulation correlation
between Wannier states. The correlation function is nonzero in both the
topologically trivial and nontrivial states, and allows to extract a
correlation length that diverges at topological phase transitions. The
correlation length and the curvature function that defines the topological
invariants are shown to have universal critical exponents, allowing the notion
of universality classes to be introduced. Particularly in two dimensions, the
universality class is determined by the orbital symmetry of the Dirac model.
The scaling laws that constrain the critical exponents are revealed, and are
predicted to be satisfied even in interacting systems, as demonstrated in an
interacting topological Kondo Insulator.


title:
Generalizing diffuse interface methods on graphs: non-smooth potentials
  and hypergraphs

abstract:
  Diffuse interface methods have recently been introduced for the task of
semi-supervised learning. The underlying model is well-known in materials
science but was extended to graphs using a Ginzburg--Landau functional and the
graph Laplacian. We here generalize the previously proposed model by a
non-smooth potential function. Additionally, we show that the diffuse interface
method can be used for the segmentation of data coming from hypergraphs. For
this we show that the graph Laplacian in almost all cases is derived from
hypergraph information. Additionally, we show that the formerly introduced
hypergraph Laplacian coming from a relaxed optimization problem is well suited
to be used within the diffuse interface method. We present computational
experiments for graph and hypergraph Laplacians.


title: QCD-improved limits from neutrinoless double beta decay

abstract:
  We analyze the impact of QCD corrections on limits derived from neutrinoless
double beta decay ($0\nu\beta\beta$). As demonstrated previously, the effect of
the color-mismatch arising from loops with gluons linking the quarks from
different color-singlet currents participating in the effective operators has a
dramatic impact on the predictions for some particular Wilson coefficients.
Here, we consider all possible contributions from heavy particle exchange, i.e.
the so-called short-range mechanism of $0\nu\beta\beta$ decay. All high-scale
models (HSM) in this class match at some scale around a $\sim$ few TeV with the
corresponding effective theory, containing a certain set of effective
dimension-9 operators. Many of these HSM receive contributions from more than
one of the basic operators and we calculate limits on these models using the
latest experimental data. We also show with one non-trivial example, how to
derive limits on more complicated models, in which many different Feynman
diagrams contribute to $0\nu\beta\beta$ decay, using our general method.


title:
Long-Term Prospects: Mitigation of Supernova and Gamma-Ray Burst Threat
  to Intelligent Beings

abstract:
  We consider global catastrophic risks due to cosmic explosions (supernovae,
magnetars and gamma-ray bursts) and possible mitigation strategies by humans
and other hypothetical intelligent beings. While by their very nature these
events are so huge to daunt conventional thinking on mitigation and response,
we wish to argue that advanced technological civilizations would be able to
develop efficient responses in the domain of astroengineering within their home
planetary systems. In particular, we suggest that construction of shielding
swarms of small objects/particles confined by electromagnetic fields could be
one way of mitigating the risk of cosmic explosions and corresponding ionizing
radiation surges. Such feats of astroengineering could, in principle, be
detectable from afar by advanced Dysonian SETI searches.


title: Reduced Order Modeling for Heston Stochastic Volatility Model

abstract:
  In this paper we compare two model order reduction techniques, the Proper
Orthogonal Decomposition (POD) and Dynamic Mode Decomposition (DMD), for
Heston's option pricing model. The full order model is obtained by
discontinuous Galerkin discretization in space and backward Euler in time.
Numerical results for butterfly spread, European and digital call options
reveal that in general DMD requires more modes than the POD modes as expected
at the same level of accuracy. However, the speed-up factors are much higher
for DMD than POD due to the equation free nature of the DMD.


title:
On the wavelets-based SWIFT method for backward stochastic differential
  equations

abstract:
  We propose a numerical algorithm for backward stochastic differential
equations based on time discretization and trigonometric wavelets. This method
combines the effectiveness of Fourier-based methods and the simplicity of a
wavelet-based formula, resulting in an algorithm that is both accurate and easy
to implement. Furthermore, we mitigate the problem of errors near the
computation boundaries by means of an antireflective boundary technique, giving
an improved approximation. We test our algorithm with different numerical
experiments.


title:
The Farrell--Tate and Bredon homology for PSL\_4(Z) via cell
  subdivisions

abstract:
  We provide some new computations of Farrell--Tate and Bredon (co)homology for
arithmetic groups. For calculations of Farrell--Tate or Bredon homology, one
needs cell complexes wherecell stabilizers fix their cells pointwise. We
provide two algorithms computing an efficient subdivision of a complex to
achieve this rigidity property. Applying these algorithms to available cell
complexes for PSL4(Z) provides computations of Farrell--Tate cohomology for
small primes as well as the Bredon homology for the classifying spaces of
proper actions with coefficients in the complex representation ring.


title: Boson-fermion correspondence from factorization spaces

abstract:
  We give a proof of the boson-fermion correspondence (an isomorphism of
lattice and fermion vertex algebras) in terms of isomorphism of factorization
spaces.


title: Dependent Types for Extensive Games

abstract:
  Extensive games are tools largely used in economics to describe decision
processes ofa community of agents. In this paper we propose a formal
presentation based on theproof assistant COQ which focuses mostly on infinite
extensive games and theircharacteristics. COQ proposes a feature called
"dependent types", which meansthat the type of an object may depend on the type
of its components. For instance,the set of choices or the set of utilities of
an agent may depend on the agentherself. Using dependent types, we describe
formally a very general class of gamesand strategy profiles, which corresponds
somewhat to what game theorists are used to.We also discuss the notions of
infiniteness in game theory and how this can beprecisely described.


title:
Controlling quark mass determinations non-perturbatively in
  three-flavour QCD

abstract:
  The determination of quark masses from lattice QCD simulations requires a
non-perturbative renormalization procedure and subsequent scale evolution to
high energies, where a conversion to the commonly used MS-bar scheme can be
safely established. We present our results for the non-perturbative running of
renormalized quark masses in Nf=3 QCD between the electroweak and a hadronic
energy scale, where lattice simulations are at our disposal. Recent theoretical
advances in combination with well-established techniques allows to follow the
scale evolution to very high statistical accuracy, and full control of
systematic effects.


title:
Models for Small-Scale Structure on Cosmic Strings: II. Scaling and its
  stability

abstract:
  We make use of the formalism described in a previous paper [Martins {\it et
al.} Phys. Rev. D90 (2014) 043518] to address general features of wiggly cosmic
string evolution. In particular, we highlight the important role played by
poorly understood energy loss mechanisms and propose a simple ansatz which
tackles this problem in the context of an extended velocity-dependent one-scale
model. We find a general procedure to determine all the scaling solutions
admitted by a specific string model and study their stability, enabling a
detailed comparison with future numerical simulations. A simpler comparison
with previous Goto-Nambu simulations supports earlier evidence that scaling is
easier to achieve in the matter era than in the radiation era. In addition, we
also find that the requirement that a scaling regime be stable seems to notably
constrain the allowed range of energy loss parameters.


title:
Spectrahedrality of hyperbolicity cones of multivariate matching
  polynomials

abstract:
  The generalized Lax conjecture asserts that each hyperbolicity cone is a
linear slice of the cone of positive semidefinite matrices. We prove the
conjecture for a multivariate generalization of the matching polynomial. This
is further extended (albeit in a weaker sense) to a multivariate version of the
independence polynomial for simplicial graphs. As an application we give a new
proof of the conjecture for elementary symmetric polynomials (originally due to
Br\"and\'en). Finally we consider a hyperbolic convolution of determinant
polynomials generalizing an identity of Godsil and Gutman.


title: Distances on a masure (affine ordered hovel)

abstract:
  A masure (a.k.a affine ordered hovel) I is a generalization of the
Bruhat-Tits building that is associated to a split Kac-Moody group G over a
non-archimedean local field. This is a union of affine spaces called
apartments. When G is a reductive group, I is a building and there is a
G-invariant distance inducing a norm on each apartment. In this paper, we study
distances on I inducing the affine topology on each apartment. We show that
some properties (completeness, local compactness, ...) cannot be satisfyed when
G is not reductive. Nevertheless, we construct distances such that each element
of G is a continuous automorphism of I.


title:
Magnetoacoustic Waves in a Stratified Atmosphere with a Magnetic Null
  Point

abstract:
  We perform nonlinear MHD simulations to study the propagation of
magnetoacoustic waves from the photosphere to the low corona. We focus on a 2D
system with a gravitationally stratified atmosphere and three photospheric
concentrations of magnetic flux that give rise to a magnetic null point with a
magnetic dome topology. We find that a single wavepacket introduced at the
lower boundary splits into multiple secondary wavepackets. A portion of the
packet refracts towards the null due to the varying Alfv\'en speed. Waves
incident on the equipartition contour surrounding the null, where the sound and
Alfv\'en speeds coincide, partially transmit, reflect, and mode convert between
branches of the local dispersion relation. Approximately $15.5\%$ of the
wavepacket's initial energy ($E_{input}$) converges on the null, mostly as a
fast magnetoacoustic wave. Conversion is very efficient: $70\%$ of the energy
incident on the null is converted to slow modes propagating away from the null,
$7\%$ leaves as a fast wave, and the remaining $23\%$ (0.036$E_{input}$) is
locally dissipated. The acoustic energy leaving the null is strongly
concentrated along field lines near each of the null's four separatrices. The
portion of the wavepacket that refracts towards the null, and the amount of
current accumulation, depends on the vertical and horizontal wavenumbers and
the centroid position of the wavepacket as it crosses the photosphere. Regions
that refract towards or away from the null do not simply coincide with regions
of open versus closed magnetic field or the local field orientation. We also
modeled wavepacket propagation using a WKB method and found that it agrees
qualitatively, though not quantitatively, with the results of the numerical
simulation.


title:
Distance measurement in air without the precise knowledge of refractive
  index fluctuation

abstract:
  The accuracy of long distance measurement in air is limited by the
fluctuation of refractive index. In this paper, we propose a technique which
allows us to measure an absolute distance in air without the knowledge of air
turbulence. The technique is based on a femtosecond frequency comb. The
fluctuation of the environmental conditions is monitored by two independently
operating reference interferometers. The deviations of optical path lengths,
caused by the fluctuation of air refractive index, is compensated by feedbacks
from the reference interferometers. The measured optical path length is then
locked to certain environmental conditions, determined at an optimized moment
before the measurement process.


title:
Navigational Rule Derivation: An algorithm to determine the effect of
  traffic signs on road networks

abstract:
  In this paper we present an algorithm to build a road network map enriched
with traffic rules such as one-way streets and forbidden turns, based on the
interpretation of already detected and classified traffic signs. Such algorithm
helps to automatize the elaboration of maps for commercial navigation systems.
Our solution is based on simulating navigation along the road network,
determining at each point of interest the visibility of the signs and their
effect on the roads. We test our approach in a small urban network and discuss
various ways to generalize it to support more complex environments.


title:
Low energy Ne ion beam induced-modifications of magnetic properties in
  MnAs thin films

abstract:
  Investigations of the complex behavior of the magnetization of manganese
arsenide thin films due to defects induced by irradiation of slow heavy ions
are presented. In addition to the thermal hysteresis suppression already
highlighted in M. Trassinelli et al., Appl. Phys. Lett. 104, 081906 (2014), we
report here on new local magnetic features recorded by a magnetic force
microscope at different temperatures close to the characteristic sample phase
transition. Complementary measurements of the global magnetization measurements
in different conditions (applied magnetic field and temperatures) enable to
complete the film characterization. The obtained results suggest that the ion
bombardment produces regions where the local mechanical constraints are
significantly different from the average, promoting the local presence of
magneto-structural phases far from the equilibrium. These regions could be
responsible for the thermal hysteresis suppression previously reported,
irradiation-induced defects acting as seeds in the phase transition.


title:
Interface symmetry and spin control in topological
  insulator-semiconductor heterostructures

abstract:
  Heterostructures combining topological and non-topological materials
constitute the next frontier in the effort to incorporate topological
insulators (TIs) into functional electronic devices. We show that the
properties of the interface states appearing at the planar boundary between a
topologically-trivial semiconductor (SE) and a TI are controlled by the
symmetry of the interface. In contrast to the well-studied helical Dirac
surface states, SE-TI interface states exhibit elliptical contours of constant
energy and complex spin textures with broken helicity. We derive a general
effective Hamiltonian for SE-TI junctions, and propose experimental signatures
such as an out of plane spin accumulation under a transport current and the
opening of a spectral gap that depends on the direction of an applied in-plane
magnetic field.


title: Torsion effects on a relativistic position-dependent mass system

abstract:
  We analyse a relativistic scalar particle with a position-dependent mass in a
spacetime with a space-like dislocation by showing that relativistic bound
states solutions can be achieved. Further, we consider the presence of the
Coulomb potential and analyse the relativistic position-dependent mass system
subject to the Coulomb potential in the spacetime with a space-like
dislocation. We also show that a new set of relativistic bound states solutions
can be obtained, where there also exists the influence of torsion of the
relativistic energy levels. Finally, we investigate an analogue of the
Aharonov-Bohm effect for bound states in this position-dependent mass in a
spacetime with a space-like dislocation.


title:
Dispersive effects of weakly compressible and fast rotating inviscid
  fluids

abstract:
  We consider a system describing the motion of an isentropic, inviscid, weakly
com-pressible, fast rotating fluid in the whole space R^3 , with initial data
belonging to H^s(R^3) , s \textgreater{} 5/2. We prove that the system admits a
unique local strong solution in L^$\infty$([0, T ]; H^s(R^3)) , where T is
independent of the Rossby and Mach numbers. Moreover, using Strichartz-type
estimates, we prove that the solution is almost global, i.e. its lifespan is of
the order of $\epsilon$^(--$\alpha$) , $\alpha$ \textgreater{} 0, without any
smallness assumption on the initial data (the initial data can even go to
infinity in some sense), provided that the rotation is fast enough.


title: Anomaly in coupled parametric resonance

abstract:
  We present experimental observations of an anomaly in the coupled response of
auto-parametrically excited microelectromechanical beams. When one of the two
coupled beams is driven at elevated amplitudes, the excitation of dominant and
recessive modes is observed in the driven and non-driven beams respectively.
This anomalous nature of auto-parametric excitation has been unexplored by both
theory and experiments and falls outside the scope of the conventional
description of parametric resonance.


title:
Investigations into the impact of locally modified sensor architectures
  on the detection efficiency of silicon micro-strip sensors

abstract:
  The High Luminosity Upgrade of the LHC will require the replacement of the
Inner Detector of ATLAS with the Inner Tracker (ITk) in order to cope with
higher radiation levels and higher track densities. Prototype silicon strip
detector modules are currently developed and their performance is studied in
both particle test beams and X-ray beams. In previous test beam studies of
prototype modules, silicon sensor strips were found to respond in regions
varying from the strip pitch of 74.5 {\upmu}m. The variations have been linked
to local features of the sensor architecture. This paper presents results of
detailed sensor measurements in both X-ray and particle beams investigating the
impact of sensor features (metal pads and p-stops) on the responding area of a
sensor strip.


title: Fast low-level pattern matching algorithm

abstract:
  This paper focuses on pattern matching in the DNA sequence. It was inspired
by a previously reported method that proposes encoding both pattern and
sequence using prime numbers. Although fast, the method is limited to rather
small pattern lengths, due to computing precision problem. Our approach
successfully deals with large patterns, due to our implementation that uses
modular arithmetic. In order to get the results very fast, the code was adapted
for multithreading and parallel implementations. The method is reduced to
assembly language level instructions, thus the final result shows significant
time and memory savings compared to the reference algorithm.


title: Spinor representations of positive definite ternary quadratic forms

abstract:
  For a positive definite integral ternary quadratic form $f$, let $r(k,f)$ be
the number of representations of an integer $k$ by $f$. The famous
Minkowski-Siegel formula implies that if the class number of $f$ is one, then
$r(k,f)$ can be written as a constant multiple of a product of local densities
which are easily computable. In this article, we consider the case when the
spinor genus of $f$ contains only one class. In this case the above also holds
if $k$ is not contained in a set of finite number of square classes which are
easily computable (see, for example, \cite{sp1} and \cite {sp2}). By using this
fact, we prove some extension of the results given in both \cite {cl} on the
representations of generalized Bell ternary forms and \cite {be} on the
representations of ternary quadratic forms with some congruence conditions.


title: Density dependent exciton dynamics and L valley anisotropy in germanium

abstract:
  Optical pump-THz probe spectroscopy is used to investigate the exciton
formation dynamics and its intensity dependence in bulk Ge. Associated with the
intra-excitonic 1s-2p transition, the gradual build-up of an absorption peak
around 3.1 meV (0.75 THz) signifies the delayed exciton formation after optical
pump which is accelerated for higher excitation densities. Analyzing the
spectral shape of this THz absorption resonance, two distinct resonances are
found which are attributed to the mass-anisotropy of L valley electrons via a
microscopic theory.


title: Physics Potentials with the Second Hyper-Kamiokande Detector in Korea

abstract:
  Hyper-Kamiokande consists of two identical water-Cherenkov detectors of total
520~kt with the first one in Japan at 295~km from the J-PARC neutrino beam with
2.5$^{\textrm{o}}$ Off-Axis Angles (OAAs), and the second one possibly in Korea
in a later stage. Having the second detector in Korea would benefit almost all
areas of neutrino oscillation physics mainly due to longer baselines. There are
several candidate sites in Korea with baselines of 1,000$\sim$1,300~km and OAAs
of 1$^{\textrm{o}}$$\sim$3$^{\textrm{o}}$. We conducted sensitivity studies on
neutrino oscillation physics for a second detector, either in Japan (JD
$\times$ 2) or Korea (JD + KD) and compared the results with a single detector
in Japan. Leptonic CP violation sensitivity is improved especially when the CP
is non-maximally violated. The larger matter effect at Korean candidate sites
significantly enhances sensitivities to non-standard interactions of neutrinos
and mass ordering determination. Current studies indicate the best sensitivity
is obtained at Mt. Bisul (1,088~km baseline, $1.3^\circ$ OAA). Thanks to a
larger (1,000~m) overburden than the first detector site, clear improvements to
sensitivities for solar and supernova relic neutrino searches are expected.


title: Replicator-mutator equations with quadratic fitness

abstract:
  This work completes our previous analysis on models arising in evolutionary
genetics. We consider the so-called replicator-mutator equation, when the
fitness is quadratic. This equation is a heat equation with a harmonic
potential, plus a specific nonlocal term. We give an explicit formula for the
solution, thanks to which we prove that when the fitness is non-positive
(harmonic potential), solutions converge to a universal stationary Gaussian for
large time, whereas when the fitness is non-negative (inverted harmonic
potential), solutions always become extinct in finite time.


title: Algebraicity of Nash sets and of their asymmetric cobordism

abstract:
  This paper deals with the existence of algebraic structures on compact Nash
sets. We introduce the algebraic-topological notion of asymmetric Nash
cobordism between compact Nash sets, and we prove that a compact Nash set is
semialgebraically homeomorphic to a real algebraic set if and only if it is
asymmetric Nash cobordant to a point or, equivalently, if it is strongly
asymmetric Nash cobordant to a real algebraic set. As a consequence, we obtain
new large classes of compact Nash sets semialgebraically homeomorphic to real
algebraic sets. To prove our results, we need to develop new
algebraic-topological approximation procedures. We conjecture that every
compact Nash set is asymmetric Nash cobordant to a point, and hence
semialgebraically homeomorphic to a real algebraic set.


title:
Diffusion of Active Particles With Stochastic Torques Modeled as
  $\alpha$-Stable Noise

abstract:
  We investigate the stochastic dynamics of an active particle moving at a
constant speed under the influence of a fluctuating torque. In our model the
angular velocity is generated by a constant torque and random fluctuations
described as a L\'evy-stable noise. Two situations are investigated. First, we
study white L\'evy noise where the constant speed and the angular noise
generate a persistent motion characterized by the persistence time $\tau_D$. At
this time scale the crossover from ballistic to normal diffusive behavior is
observed. The corresponding diffusion coefficient can be obtained analytically
for the whole class of symmetric $\alpha$-stable noises. As typical for models
with noise-driven angular dynamics, the diffusion coefficient depends
non-monotonously on the angular noise intensity. As second example, we study
angular noise as described by an Ornstein-Uhlenbeck process with correlation
time $\tau_c$ driven by the Cauchy white noise. We discuss the asymptotic
diffusive properties of this model and obtain the same analytical expression
for the diffusion coefficient as in the first case which is thus independent on
$\tau_c$. Remarkably, for $\tau_c>\tau_D$ the crossover from a non-Gaussian to
a Gaussian distribution of displacements takes place at a time $\tau_G$ which
can be considerably larger than the persistence time $\tau_D$.


title:
Fr\"ohlich Polarons. Lecture course including detailed theoretical
  derivations -- 10th edition

abstract:
  In the present course, an overview is presented of the fundamentals of
continuum-polaron physics, which provide the basis of the analysis of polaron
effects in ionic crystals and polar semiconductors. These Lecture Notes deal
with "large", or "continuum", polarons, as described by the Fr\"ohlich
Hamiltonian. The emphasis is on the polaron optical absorption, with detailed
mathematical derivations.


title:
Tuning the pseudospin polarization of graphene by a pseudo-magnetic
  field

abstract:
  One of the intriguing characteristics of honeycomb lattices is the appearance
of a pseudo-magnetic field as a result of mechanical deformation. In the case
of graphene, the Landau quantization resulting from this pseudo-magnetic field
has been measured using scanning tunneling microscopy. Here we show that a
signature of the pseudo-magnetic field is a local sublattice symmetry breaking
observable as a redistribution of the local density of states. This can be
interpreted as a polarization of graphene's pseudospin due to a strain induced
pseudo-magnetic field, in analogy to the alignment of a real spin in a magnetic
field. We reveal this sublattice symmetry breaking by tunably straining
graphene using the tip of a scanning tunneling microscope. The tip locally
lifts the graphene membrane from a SiO$_2$ support, as visible by an increased
slope of the $I(z)$ curves. The amount of lifting is consistent with molecular
dynamics calculations, which reveal a deformed graphene area under the tip in
the shape of a Gaussian. The pseudo-magnetic field induced by the deformation
becomes visible as a sublattice symmetry breaking which scales with the lifting
height of the strained deformation and therefore with the pseudo-magnetic field
strength. Its magnitude is quantitatively reproduced by analytic and
tight-binding models, revealing fields of 1000 T. These results might be the
starting point for an effective THz valley filter, as a basic element of
valleytronics.


title: In-Medium Pion Valence Distribution Amplitude

abstract:
  After a brief review of the quark-based model for nuclear matter, and some
pion properties in medium presented in our previous works, we report new
results for the pion valence wave function as well as the valence distribution
amplitude in medium, which are presented in our recent article. We find that
both the in-medium pion valence distribution and the in-medium pion valence
wave function, are substantially modified at normal nuclear matter density, due
to the reduction in the pion decay constant.


title:
Harmonically free group actions and equivariant bifurcation in the
  Yamabe problem

abstract:
  We study multiplicity of constant scalar curvature metrics in products of a
compact closed manifold and a compact manifold with boundary using equivariant
bifurcation theory.


title:
From the Quantum Transfer Matrix to the Quench Action: The Loschmidt
  echo in $XXZ$ Heisenberg spin chains

abstract:
  We consider the computation of the Loschmidt echo after quantum quenches in
the interacting $XXZ$ Heisenberg spin chain both for real and imaginary times.
We study two-site product initial states, focusing in particular on the N\'eel
and tilted N\'eel states. We apply the Quantum Transfer Matrix (QTM) approach
to derive generalized TBA equations, which follow from the fusion hierarchy of
the appropriate QTM's. Our formulas are valid for arbitrary imaginary time and
for real times at least up to a time $t_0$, after which the integral equations
have to be modified. In some regimes, $t_0$ is seen to be either very large or
infinite, allowing to explore in detail the post-quench dynamics of the system.
As an important part of our work, we show that for the N\'eel state our
imaginary time results can be recovered by means of the quench action approach,
unveiling a direct connection with the quantum transfer matrix formalism. In
particular, we show that in the zero-time limit, the study of our TBA equations
allows for a simple alternative derivation of the recently obtained Bethe
ansatz distribution functions for the N\'eel, tilted N\'eel and tilted
ferromagnet states.

categories: cond-mat.stat-mech math-ph math.MP quant-ph


title: Controlling energy landscapes with correlations between minima

abstract:
  Neural network models have been used to construct energy landscapes for
modeling biological phenomena, in which the minima of the landscape correspond
to memory patterns stored by the network. Here, we show that dynamic properties
of those landscapes, such as the sizes of the basins of attraction and the
density of stable and metastable states, depend strongly on the correlations
between the memory patterns and can be altered by introducing hierarchical
structures. Our findings suggest dynamic features of energy landscapes can be
controlled by choosing the correlations between patterns

categories: cond-mat.dis-nn cond-mat.stat-mech physics.bio-ph q-bio.QM


title: Annex: Radon - Rapid Discovery of Topological Relations

abstract:
  Datasets containing geo-spatial resources are increasingly being represented
according to the Linked Data principles. Several time-efficient approaches for
discovering links between RDF resources have been developed over the last
years. However, the time-efficient discovery of topological relations between
geospatial resources has been paid little attention to. We address this
research gap by presenting Radon, a novel approach for the rapid computation of
topological relations between geo-spatial resources. Our approach uses a sparse
tiling index in combination with minimum bounding boxes to reduce the
computation time of topological relations. Our evaluation of Radon's runtime on
45 datasets and in more than 800 experiments shows that it outperforms the
state of the art by up to 3 orders of magnitude while maintaining an F-measure
of 100%. Moreover, our experiments suggest that Radon scales up well when
implemented in parallel.


title: On a goodness of fit test for the Cauchy distribution

abstract:
  The paper discusses a test for the hypothesis that a random sample comes from
the Cauchy distribution. The test statistics is derived from a characterization
and is based on the characteristic function. Properties of the test are
discussed and its performance measured by simulations. The test presented turns
out to be extremely powerful in a wide range of alternatives.


title:
Inflationary primordial black holes for the LIGO gravitational wave
  events and pulsar timing array experiments

abstract:
  Primordial black holes (PBHs) are one of the candidates to explain the
gravitational wave (GW) signals observed by the LIGO detectors. Among several
phenomena in the early Universe, cosmic inflation is a major example to
generate PBHs from large primordial density perturbations. In this paper, we
discuss the possibility to interpret the observed GW events as mergers of PBHs
which are produced by cosmic inflation. The primordial curvature perturbation
should be large enough to produce a sizable amount of PBHs and thus we have
several other probes to test this scenario. We point out that the current
pulsar timing array (PTA) experiments already put severe constraints on GWs
generated via the second-order effects, and that the observation of the cosmic
microwave background (CMB) puts severe restriction on its $\mu$ distortion. In
particular, it is found that the scalar power spectrum should have a very sharp
peak at $k \sim 10^{6}$ Mpc$^{-1}$ to fulfill the required abundance of PBHs
while evading constraints from the PTA experiments together with the $\mu$
distortion. We propose a mechanism which can realize such a sharp peak. In the
future, simple inflation models that generate PBHs via almost Gaussian
fluctuations could be probed/excluded.


title:
Sums of three quadratic endomorphisms of an infinite-dimensional vector
  space

abstract:
  Let $V$ be an infinite-dimensional vector space over a field. In a previous
article, we have shown that every endomorphism of $V$ splits into the sum of
four square-zero ones but also into the sum of four idempotent ones. Here, we
study decompositions into sums of three endomorphisms with prescribed split
annihilating polynomials with degree $2$. Except for endomorphisms that are the
sum of a scalar multiple of the identity and of a finite-rank endomorphism, we
achieve a simple characterization of such sums. In particular, we give a simple
characterization of the endomorphisms that split into the sum of three
square-zero ones, and we prove that every endomorphism of $V$ is a linear
combination of three idempotents.


title: Faster variational inducing input Gaussian process classification

abstract:
  Gaussian processes (GP) provide a prior over functions and allow finding
complex regularities in data. Gaussian processes are successfully used for
classification/regression problems and dimensionality reduction. In this work
we consider the classification problem only. The complexity of standard methods
for GP-classification scales cubically with the size of the training dataset.
This complexity makes them inapplicable to big data problems. Therefore, a
variety of methods were introduced to overcome this limitation. In the paper we
focus on methods based on so called inducing inputs. This approach is based on
variational inference and proposes a particular lower bound for marginal
likelihood (evidence). This bound is then maximized w.r.t. parameters of kernel
function of the Gaussian process, thus fitting the model to data. The
computational complexity of this method is $O(nm^2)$, where $m$ is the number
of inducing inputs used by the model and is assumed to be substantially smaller
than the size of the dataset $n$. Recently, a new evidence lower bound for
GP-classification problem was introduced. It allows using stochastic
optimization, which makes it suitable for big data problems. However, the new
lower bound depends on $O(m^2)$ variational parameter, which makes optimization
challenging in case of big m. In this work we develop a new approach for
training inducing input GP models for classification problems. Here we use
quadratic approximation of several terms in the aforementioned evidence lower
bound, obtaining analytical expressions for optimal values of most of the
parameters in the optimization, thus sufficiently reducing the dimension of
optimization space. In our experiments we achieve as well or better results,
compared to the existing method. Moreover, our method doesn't require the user
to manually set the learning rate, making it more practical, than the existing
method.


title: Effects of variable eccentricity on the climate of an Earth-like world

abstract:
  The Kepler era of exoplanetary discovery has presented the Astronomical
community with a cornucopia of planetary systems very different from the one
which we inhabit. It has long been known that Jupiter plays a major role in the
orbital parameters of Mars and it's climate, but there is also a long-standing
belief that Jupiter would play a similar role for Earth if not for its large
moon. Using a three dimensional general circulation model (3-D GCM) with a
fully-coupled ocean we simulate what would happen to the climate of an
Earth-like world if Mars did not exist, but a Jupiter-like planet was much
closer to Earth's orbit. We investigate two scenarios that involve evolution of
the Earth-like planet's orbital eccentricity from 0--0.283 over 6500 years, and
from 0--0.066 on a time scale of 4500 years. In both cases we discover that
they would maintain relatively temperate climates over the time-scales
simulated. More Earth-like planets in multi-planet systems will be discovered
as we continue to survey the skies and the results herein show that the
proximity of large gas giant planets may play an important role in the
habitability of these worlds. These are the first such 3-D GCM simulations
using a fully-coupled ocean with a planetary orbit that evolves over time due
to the presence of a giant planet.


title: Team-maxmin equilibrium: efficiency bounds and algorithms

abstract:
  The Team-maxmin equilibrium prescribes the optimal strategies for a team of
rational players sharing the same goal and without the capability of
correlating their strategies in strategic games against an adversary. This
solution concept can capture situations in which an agent controls multiple
resources-corresponding to the team members-that cannot communicate. It is
known that such equilibrium always exists and it is unique (unless degeneracy)
and these properties make it a credible solution concept to be used in
real-world applications, especially in security scenarios. Nevertheless, to the
best of our knowledge, the Team-maxmin equilibrium is almost completely
unexplored in the literature. In this paper, we investigate bounds of
(in)efficiency of the Team-maxmin equilibrium w.r.t. the Nash equilibria and
w.r.t. the Maxmin equilibrium when the team members can play correlated
strategies. Furthermore, we study a number of algorithms to find and/or
approximate an equilibrium, discussing their theoretical guarantees and
evaluating their performance by using a standard testbed of game instances.


title: Large Values of the Clustering Coefficient

abstract:
  A prominent parameter in the context of network analysis, originally proposed
by Watts and Strogatz (Collective dynamics of `small-world' networks, Nature
393 (1998) 440-442), is the clustering coefficient of a graph $G$. It is
defined as the arithmetic mean of the clustering coefficients of its vertices,
where the clustering coefficient of a vertex $u$ of $G$ is the relative density
$m(G[N_G(u)])/{d_G(u)\choose 2}$ of its neighborhood if $d_G(u)$ is at least
$2$, and $0$ otherwise. It is unknown which graphs maximize the clustering
coefficient among all connected graphs of given order and size.
  We determine the maximum clustering coefficients among all connected regular
graphs of a given order, as well as among all connected subcubic graphs of a
given order. In both cases, we characterize all extremal graphs. Furthermore,
we determine the maximum increase of the clustering coefficient caused by
adding a single edge.


title:
An exploratory study of Yang-Mills three-point functions at non-zero
  temperature

abstract:
  Results for three-point functions of Landau gauge Yang-Mills theory at
non-vanishing temperature are presented and compared to lattice results. It is
found that the three-gluon vertex is enhanced for temperatures below the phase
transition. At very low momenta it becomes negative for all temperatures.
Furthermore, truncation effects in functional equations are discussed at the
example of three-dimensional Yang-Mills theory for which a self-contained
solution is presented.


title: Local control on the geometry in 3D Ricci flow

abstract:
  The geometry of a ball within a Riemannian manifold is coarsely controlled if
it has a lower bound on its Ricci curvature and a positive lower bound on its
volume. We prove that such coarse local geometric control must persist for a
definite amount of time under three-dimensional Ricci flow, and leads to local
C/t decay of the full curvature tensor, irrespective of what is happening
beyond the local region.
  As a by-product, our results generalise the Pseudolocality theorem of
Perelman and Tian-Wang in this dimension by not requiring the Ricci curvature
to be almost-positive, and not asking the volume growth to be almost-Euclidean.


title: The Application Domain of Infinite Matrices on Classical Sequence Spaces

abstract:
  The purpose of this paper is twofold. First, we define the new spaces and
investigate some topological and structural properties. Also, we compute dual
spaces of new spaces which are help us in the characterization of matrix
mappings. Second, we give some examples related to new spaces.


title: All symmetric space solutions of eleven-dimensional supergravity

abstract:
  We find all symmetric space solutions of eleven-dimensional supergravity
completing an earlier classification by Figueroa-O'Farrill. They come in two
types: AdS solutions and pp-wave solutions. We analyze the supersymmetry
conditions and show that out of the 99 AdS geometries the only supersymmetric
ones are the well known backgrounds arising as near-horizon limits of
(intersecting) M-branes and preserving 32, 16 or 8 supersymmetries. The general
form of the superisometry algebra for symmetric space backgrounds is also
derived.


title: A theory of passive linear systems with no assumptions

abstract:
  We present two linked theorems on passivity: the passive behavior theorem,
parts 1 and 2. Part 1 provides necessary and sufficient conditions for a
general linear system, described by a set of high order differential equations,
to be passive. Part 2 extends the positive-real lemma to include uncontrollable
and unobservable state-space systems.


title: Sensitivity of the T2HKK experiment to the non-standard interaction

abstract:
  If the flavor dependent non-standard interactions (NSI) in neutrino
propagation exist, then the matter effect is modified and the modification is
parametrized by the dimensionless parameter
$\epsilon_{\alpha\beta}~(\alpha,\beta=e, \mu, \tau)$. In this paper we discuss
the sensitivity of the T2HKK experiment, whose possibility is now seriously
discussed as a future extension of the T2K experiment, to such NSI. On the
assumption that $\epsilon_{\alpha\mu}=0~(\alpha=e, \mu\tau)$ and
$\epsilon_{\tau\tau}=|\epsilon_{e\tau}|/(1+\epsilon_{ee})$, which are satisfied
by other experiments to a good approximation, we find that, among the possible
off-axis flux configurations of $1.3^\circ$, $1.5^\circ$, $2.0^\circ$ and
$2.5^\circ$, the case of the off-axis angle $1.3^\circ$ gives the highest
sensitivity to $\epsilon_{ee}$ and $|\epsilon_{e\tau}|$. Our results show that
the $1.3^\circ$ off-axis configuration can exclude NSI for
$|\epsilon_{ee}|\gtrsim 1$ or $|\epsilon_{e\tau}|\gtrsim 0.2$ at 3$\sigma$. We
also find that in the presence of NSI, T2HKK (for the off-axis angle
$1.3^\circ$) has better sensitivity to the two CP phases ($\delta_{CP}$ and
arg($\epsilon_{e \tau}$)) than DUNE. This is because of the synergy between the
two detectors i.e., one at Kamioka and one at Korea. T2HKK has better
sensitivity to the CP phases than the atmospheric neutrino experiment at
Hyperkamiokande in inverted hierarchy, but in normal hierarchy the atmospheric
neutrino experiment has the best sensitivity to the CP phases.