title: Online Coded Caching

abstract:
  We consider a basic content distribution scenario consisting of a single
origin server connected through a shared bottleneck link to a number of users
each equipped with a cache of finite memory. The users issue a sequence of
content requests from a set of popular files, and the goal is to operate the
caches as well as the server such that these requests are satisfied with the
minimum number of bits sent over the shared link. Assuming a basic Markov model
for renewing the set of popular files, we characterize approximately the
optimal long-term average rate of the shared link. We further prove that the
optimal online scheme has approximately the same performance as the optimal
offline scheme, in which the cache contents can be updated based on the entire
set of popular files before each new request. To support these theoretical
results, we propose an online coded caching scheme termed coded least-recently
sent (LRS) and simulate it for a demand time series derived from the dataset
made available by Netflix for the Netflix Prize. For this time series, we show
that the proposed coded LRS algorithm significantly outperforms the popular
least-recently used (LRU) caching algorithm.


title: Discretization Effects in the $\epsilon$ Domain of QCD

abstract:
  At nonzero lattice spacing the QCD partition function with Wilson quarks
undergoes either a second order phase transition to the Aoki phase for
decreasing quark mass or shows a first order jump when the quark mass changes
sign. We discuss these phase transitions in terms of Wilson Dirac spectra and
show that the first order scenario can only occur in the presence of dynamical
quarks while in the quenched case we can only have a transition to the Aoki
phase. The exact microscopic spectral density of the non-Hermitian Wilson Dirac
operator with dynamical quarks is discussed as well. We conclude with some
remarks on discretization effects for the overlap Dirac operator.


title: Modulation of the Solar Wind Velocity by Mercury

abstract:
  To study the variations in the solar wind velocity during inferior
conjunctions of Mercury and Earth, we analyzed 54 events in the period 1995 to
2012 by the superimposed epoch method. We have found a noticeable increase in
the velocity both before and after the conjunctions as well as decrease in the
velocity within 3-4 days after them, which seems to be associated with
Mercury's "shadow". The results obtained might be used to improve a forecast of
the solar wind velocity.


title:
Upper semicontinuity of global attractors for parabolic equations
  governed by the p-laplacian on unbounded thin domains

abstract:
  We consider the asymptotic behavior of quasilinear parabolic equations posed
in a family of unbounded domains that degenerates onto a lower dimensional set.
Considering an auxiliary family of weighted Sobolev spaces we show the
existence of global attractors and we analyze convergence properties of the
solutions as well of the attractors.


title:
Interplay of inertia and deformability on rheological properties of a
  suspension of capsules

abstract:
  The interplay of inertia and deformability has a substantial impact on the
transport of soft particles suspended in a fluid. However, to date a thorough
understanding of these systems is still missing and only a limited number of
experimental and theoretical studies is available. We combine the
finite-element, immersed-boundary and lattice-Boltzmann methods to simulate
three-dimensional suspensions of soft particles subjected to planar Poiseuille
flow at finite Reynolds numbers. Our findings confirm that the particle
deformation and inclination increase when inertia is present. We observe that
the Segr\'e-Silberberg effect is suppressed with respect to the particle
deformability. Depending on the deformability and strength of inertial effects,
inward or outward lateral migration of the particles takes place. In
particular, for increasing Reynolds numbers and strongly deformable particles,
a hitherto unreported distinct flow focusing effect emerges which is
accompanied by a non-monotonic behaviour of the apparent suspension viscosity
and thickness of the particle-free layer close to the channel walls. This
effect can be explained by the behaviour of a single particle and the change of
the particle collision mechanism when both deformability and inertia effects
are relevant.


title: Smoothed Analysis of Tensor Decompositions

abstract:
  Low rank tensor decompositions are a powerful tool for learning generative
models, and uniqueness results give them a significant advantage over matrix
decomposition methods. However, tensors pose significant algorithmic challenges
and tensors analogs of much of the matrix algebra toolkit are unlikely to exist
because of hardness results. Efficient decomposition in the overcomplete case
(where rank exceeds dimension) is particularly challenging. We introduce a
smoothed analysis model for studying these questions and develop an efficient
algorithm for tensor decomposition in the highly overcomplete case (rank
polynomial in the dimension). In this setting, we show that our algorithm is
robust to inverse polynomial error -- a crucial property for applications in
learning since we are only allowed a polynomial number of samples. While
algorithms are known for exact tensor decomposition in some overcomplete
settings, our main contribution is in analyzing their stability in the
framework of smoothed analysis.
  Our main technical contribution is to show that tensor products of perturbed
vectors are linearly independent in a robust sense (i.e. the associated matrix
has singular values that are at least an inverse polynomial). This key result
paves the way for applying tensor methods to learning problems in the smoothed
setting. In particular, we use it to obtain results for learning multi-view
models and mixtures of axis-aligned Gaussians where there are many more
"components" than dimensions. The assumption here is that the model is not
adversarially chosen, formalized by a perturbation of model parameters. We
believe this an appealing way to analyze realistic instances of learning
problems, since this framework allows us to overcome many of the usual
limitations of using tensor methods.


title: ATLAS Physics Results

abstract:
  The ATLAS experiment at the Large Hadron Collider at CERN has been
successfully taking data since the end of 2009 in proton-proton collisions at
centre-of-mass energies of 7 and 8 TeV, and in heavy ion collisions. In these
lectures, some of the most recent ATLAS results will be given on Standard Model
measurements, the discovery of the Higgs boson, searches for supersymmetry and
exotics and on heavy-ion results.


title: External Sources in Field-Antifield Formalism

abstract:
  We introduce external sources J_A directly into the quantum master action W
of the field-antifield formalism instead of the effective action. The external
sources J_A lead to a set of BRST-invariant functions W^A that are in
antisymplectic involution. As a byproduct, we encounter quasi--groups with open
gauge algebras.


title: Indirect Effect of Supersymmetric Triplets in Stop Decays

abstract:
  We study an extension of the minimal supersymmetric standard model with a
zero hypercharge triplet, and the effect that such a particle has on stop
decays. This model has the capability of predicting a 125.5 GeV Higgs even in
the presence of light stops and it can modify the diphoton rate by means of the
extra charged fermion triplet coupled to the Higgs. Working in the limit where
the scalar triplet decouples, and with small values of mA, we find that the
fermion triplet can greatly affect the branching ratios of the stops, even in
the absence of a direct stop-triplet coupling. We compare the triplet extension
with the MSSM and discuss how the additional fields affect the search for stop
pair production.


title: Far from equilibrium energy flow in quantum critical systems

abstract:
  We investigate far from equilibrium energy transport in strongly coupled
quantum critical systems. Combining results from gauge-gravity duality,
relativistic hydrodynamics, and quantum field theory, we argue that long-time
energy transport occurs via a universal steady-state for any spatial
dimensionality. This is described by a boosted thermal state. We determine the
transport properties of this emergent steady state, including the average
energy flow and its long-time fluctuations.


title: Two viable large scalar multiplet models with a Z2 symmetry

abstract:
  We study models in which the Higgs sector is extended by a single scalar
electroweak multiplet Z with isospin T=5/2 (sextet) or 7/2 (octet) and the same
hypercharge as the Standard Model Higgs doublet, in which Z is odd under a
global Z2 symmetry. This Z2 symmetry keeps the lightest (neutral) member of Z
stable and has interesting implications for phenomenology. We determine the
constraints on these models from precision electroweak measurements and Higgs
boson decays to two photons. We compute the thermal relic density of the stable
member of Z and show that, for masses below 1 TeV, it can make up at most 1% of
the dark matter in the universe. We also show that current dark matter direct
detection experiments do not constrain the models, but future ton-scale
experiments will probe their parameter space.


title: On Slant Riemannian Submersions For Cosymplectic Manifolds

abstract:
  In this paper we introduce slant Riemannian submersions from cosymplectic
manifolds onto Riemannian manifolds. We obtain some results on slant Riemannian
submersions of a cosymplectic manifolds. We also give examples and inequalities
between the scalar curvature and squared mean curvature of fibres of such slant
submersions according to characteristic vector field is vertical or horizontal.


title: Isotopy and Homotopy Invariants of Classical and Virtual Pseudoknots

abstract:
  Pseudodiagrams are knot or link diagrams where some of the crossing
information is missing. Pseudoknots are equivalence classes of pseudodiagrams,
where equivalence is generated by a natural set of Reidemeister moves. In this
paper, we introduce a Gauss-diagrammatic theory for pseudoknots which gives
rise to the notion of a virtual pseudoknot. We provide new, easily computable
isotopy and homotopy invariants for classical and virtual pseudodiagrams. We
also give tables of unknotting numbers for homotopically trivial pseudoknots
and homotopy classes of homotopically nontrivial pseudoknots. Since pseudoknots
are closely related to singular knots, this work also has implications for the
classification of classical and virtual singular knots.


title:
Probing interstellar extinction near the 30 Doradus nebula with red
  giant stars

abstract:
  We have studied the interstellar extinction in a field of 3' x 3' located
about 6' SW of 30 Doradus in the Large Magellanic Cloud (LMC). Hubble Space
Telescope observations in the U, B, V, I and Halpha bands reveal patchy
extinction in this field. The colour-magnitude diagram (CMD) shows an elongated
stellar sequence, almost parallel to the main sequence (MS), which is in
reality made up of stars of the red giant clump (RC) spread across the CMD by
the uneven levels of extinction in this region. Since these objects are all at
the same distance from us and share very similar physical properties, we can
derive quantitatively both the extinction law in the range 3000 - 8000 Angstrom
and the absolute extinction towards about 100 objects, setting statistically
significant constraints on the dust grains properties in this area. We find an
extinction curve considerably flatter than the standard Galactic one and than
those obtained before for the LMC. The derived value of Rv = 5.6 +/- 0.3
implies that in this region larger grains dominate. Upper MS stars span a
narrower range of E(B-V) values than RC objects, at variance with what has been
found elsewhere in the LMC.


title:
Crown Graphene Nanomeshes: Highly Stable Chelation-Doped Semiconducting
  Materials

abstract:
  Graphene nanomeshes (GNM's) formed by the creation of pore superlattices in
graphene, are a possible route to graphene-based electronics due to their
semiconducting properties, including the emergence of fractional eV band gaps.
The utility of GNM's would be markedly increased if a scheme to stably and
controllably dope them was developed. In this work, a chemically-motivated
approach to GNM doping based on selective pore-perimeter passivation and
subsequent ion chelation is proposed. It is shown by first-principles
calculations that ion chelation leads to stable doping of the passivated GNM's
-- both {\it n}- and {\it p}-doping are achieved within a rigid-band picture.
Such chelated or ``crown'' GNM structures are stable, high mobility
semiconducting materials possessing intrinsic doping-concentration control;
these can serve as building blocks for edge-free graphene nanoelectronics
including GNM-based complementary metal oxide semiconductor (CMOS)-type logic
switches.


title:
Direct Minkowski Functional analysis of large redshift surveys: a new
  high--speed code tested on the luminous red galaxy Sloan Digital Sky
  Survey-DR7 catalogue

abstract:
  As deeper galaxy catalogues are soon to come, it becomes even more
importantto measure large-scale fluctuations in the catalogues with robust
statistics that cover all moments of the galaxy distribution.In this paper we
reinforce a direct analysis of galaxy data by employing the Germ-Grain method
to calculate thefamily of Minkowski Functionals. We introduce a new code,
suitable for the analysis of large data sets without smoothingand without the
construction of excursion sets. We provide new tools to measure correlation
properties, putting emphasis onexplicitly isolating non-Gaussian correlations
with the help of integral-geometric relations. As a first application we
present the analysis of large-scale fluctuations in the luminous red galaxy
sample of Sloan Digital Sky Survey data release 7 data. We findsignificant
deviations from the $\Lambda$ cold dark matter mock catalogues on samples as
large as $500h^{-1}$Mpc (more than $3\sigma$)and slight deviations of around
$2\sigma$ on $700h^{-1}$Mpc, and we investigate possible sources of these
deviations.


title:
Rotation of the cosmic microwave background polarization from weak
  gravitational lensing

abstract:
  When a cosmic microwave background (CMB) photon travels from the surface of
last scatter through spacetime metric perturbations, the polarization vector
may rotate about its direction of propagation. This gravitational rotation is
distinct from, and occurs in addition to, the lensing deflection of the photon
trajectory. This rotation can be sourced by linear vector or tensor metric
perturbations and is fully coherent with the curl deflection field. Therefore,
lensing corrections to the CMB polarization power spectra as well as the
temperature-polarization cross-correlations due to non-scalar perturbations are
modified. The rotation does not affect lensing by linear scalar perturbations,
but needs to be included when calculations go to higher orders. We present
complete results for weak lensing of the full-sky CMB power spectra by general
linear metric perturbations, taking into account both deflection of the photon
trajectory and rotation of the polarization. For the case of lensing by
gravitational waves, we show that the B modes induced by the rotation largely
cancel those induced by the curl component of deflection.


title: Radion/Dilaton-Higgs Mixing Phenomenology in Light of the LHC

abstract:
  Motivated by the bulk mixing $\xi R_5 H^{\dagger}H$ between a massive radion
and a bulk scalar Higgs in warped extra dimensions, we construct an effective
four dimensional action that---via the AdS/CFT correspondence---describes the
most general mixing between the only light states in the theory, the dilaton
and the Higgs. Due to conformal invariance, once the Higgs scalar is localized
in the bulk of the extra-dimension the coupling between the dilaton and the
Higgs kinetic term vanishes, implying a suppressed coupling between the dilaton
and massive gauge bosons. We comment on the implications of the mixing and
couplings to Standard Model particles. Identifying the recently discovered 125
GeV resonance with the lightest Higgs-like mixed state $\phi_{-}$, we study the
phenomenology and constraints for the heaviest radion-like state $\phi_{+}$. In
particular we find that in the small mixing scenario with a radion-like state
$\phi_{+}$ in the mass range [150,250] GeV, the diphoton channel can provide
the best chance of discovery at the LHC if the collaborations extend their
searches into this energy range.


title:
Pillars and globules at the edges of H ii regions, Confronting Herschel
  observations and numerical simulations

abstract:
  Pillars and globules are present in many high-mass star-forming regions, such
as the Eagle nebula (M16) and the Rosette molecular cloud, and understanding
their origin will help characterize triggered star formation. The formation
mechanisms of these structures are still being debated. Recent numerical
simulations have shown how pillars can arise from the collapse of the shell in
on itself and how globules can be formed from the interplay of the turbulent
molecular cloud and the ionization from massive stars. The goal here is to test
this scenario through recent observations of two massive star-forming regions,
M16 and Rosette. The column density structure of the interface between
molecular clouds and H ii regions was characterized using column density maps
obtained from far-infrared imaging of the Herschel HOBYS key programme. Then,
the DisPerSe algorithm was used on these maps to detect the compressed layers
around the ionized gas and pillars in different evolutionary states. Finally,
their velocity structure was investigated using CO data, and all observational
signatures were tested against some distinct diagnostics established from
simulations. The column density profiles have revealed the importance of
compression at the edge of the ionized gas. The velocity properties of the
structures, i.e. pillars and globules, are very close to what we predict from
the numerical simulations. We have identified a good candidate of a nascent
pillar in the Rosette molecular cloud that presents the velocity pattern of the
shell collapsing on itself, induced by a high local curvature. Globules have a
bulk velocity dispersion that indicates the importance of the initial
turbulence in their formation, as proposed from numerical simulations.
Altogether, this study re-enforces the picture of pillar formation by shell
collapse and globule formation by the ionization of highly turbulent clouds.


title:
Quantitative Method for the Optimal Subtraction of Continuum Emission
  from Narrow-band Images : Skewness Transition Analysis

abstract:
  We present an objective method to remove the stellar continuum emission from
narrow-band images to derive emission-line images. The method is based on the
skewness of the pixel histogram of the residual images. Specifically, we
exploit a transition in the skewness of the signal in the continuum-subtracted
image, which appears when the image changes from being under-subtracted to
over-subtracted. Tests on one-dimensional artificial images demonstrate that
the transition identifies the optimal scaling factor {\mu} to be used on the
broad-band image IB in order to produce the optimal line-emission image IE,
i.e., IE =IN - {\mu} IB, with IN the original (un-subtracted) narrow-band
image. The advantage of this method is that it uses all information-bearing
pixels in the final image, and not just a sub-set of those pixels (the latter
being common in many traditional approaches to stellar continuum removal from
narrow-band images). We apply our method to actual images, both from
ground-based and space facilities, in particular to WFPC2 and ACS images from
the Hubble Space Telescope, and we show that it is successful irrespective of
the nature of the sources (point-like or extended). We also discuss the impact
on the accuracy of the method of non-optimal images, such as those containing
saturated sources or non-uniform background, and present `workarounds' for
those problems.


title:
Discovery of three z>6.5 quasars in the VISTA Kilo-degree Infrared
  Galaxy (VIKING) survey

abstract:
  Studying quasars at the highest redshifts can constrain models of galaxy and
black hole formation, and it also probes the intergalactic medium in the early
universe. Optical surveys have to date discovered more than 60 quasars up to
z~6.4, a limit set by the use of the z-band and CCD detectors. Only one z>6.4
quasar has been discovered, namely the z=7.08 quasar ULAS J1120+0641, using
near-infrared imaging. Here we report the discovery of three new z>6.4 quasars
in 332 square degrees of the Visible and Infrared Survey Telescope for
Astronomy Kilo-degree Infrared Galaxy (VIKING) survey, thus extending the
number from 1 to 4. The newly discovered quasars have redshifts of z=6.60,
6.75, and 6.89. The absolute magnitudes are between -26.0 and -25.5, 0.6-1.1
mag fainter than ULAS J1120+0641. Near-infrared spectroscopy revealed the MgII
emission line in all three objects. The quasars are powered by black holes with
masses of ~(1-2)x10^9 M_sun. In our probed redshift range of 6.44<z<7.44 we can
set a lower limit on the space density of supermassive black holes of
\rho(M_BH>10^9 M_sun) > 1.1x10^(-9) Mpc^(-3). The discovery of three quasars in
our survey area is consistent with the z=6 quasar luminosity function when
extrapolated to z~7. We do not find evidence for a steeper decline in the space
density of quasars with increasing redshift from z=6 to z=7.


title:
On the Automated and Objective Detection of Emission Lines in
  Faint-Object Spectroscopy

abstract:
  Modern spectroscopic surveys produce large spectroscopic databases, generally
with sizes well beyond the scope of manual investigation. The need arises,
therefore, for an automated line detection method with objective indicators for
detection significance. In this paper, we present an automated and objective
method for emission line detection in spectroscopic surveys and apply this
technique to 1574 spectra, obtained with the Hectospec spectrograph on the MMT
Observatory (MMTO), to detect Lyman alpha emitters near z ~ 2.7. The basic idea
is to generate on-source (signal plus noise) and off-source (noise only) mock
observations using Monte Carlo simulations, and calculate completeness and
reliability values, (C, R), for each simulated signal. By comparing the
detections from real data with the Monte Carlo results, we assign the
completeness and reliability values to each real detection. From 1574 spectra,
we obtain 881 raw detections and, by removing low reliability detections, we
finalize 649 detections from an automated pipeline. Most of high completeness
and reliability detections, (C, R) ~ (1.0, 1.0), are robust detections when
visually inspected; the low C and R detections are also marginal on visual
inspection. This method at detecting faint sources is dependent on the accuracy
of the sky subtraction.


title: Dynamically generated edge states in topological Kondo insulators

abstract:
  Kondo insulators combine strong electronic correlations with spin orbit
coupling and thereby provide a potential realization of correlated topological
insulators. We present model calculations which allow us to study the onset of
bulk coherence and concomitant topological edge states from the mixed valence
to local moment regimes. Our real-space dynamical mean-field results include
the detailed temperature dependence of the single particle spectral function on
slab geometries as well as the temperature dependence of the topological
invariant. The relevance of our calculations for candidate materials like SmB6
is discussed.


title: Scalable Influence Estimation in Continuous-Time Diffusion Networks

abstract:
  If a piece of information is released from a media site, can it spread, in 1
month, to a million web pages? This influence estimation problem is very
challenging since both the time-sensitive nature of the problem and the issue
of scalability need to be addressed simultaneously. In this paper, we propose a
randomized algorithm for influence estimation in continuous-time diffusion
networks. Our algorithm can estimate the influence of every node in a network
with |V| nodes and |E| edges to an accuracy of $\varepsilon$ using
$n=O(1/\varepsilon^2)$ randomizations and up to logarithmic factors
O(n|E|+n|V|) computations. When used as a subroutine in a greedy influence
maximization algorithm, our proposed method is guaranteed to find a set of
nodes with an influence of at least (1-1/e)OPT-2$\varepsilon$, where OPT is the
optimal value. Experiments on both synthetic and real-world data show that the
proposed method can easily scale up to networks of millions of nodes while
significantly improves over previous state-of-the-arts in terms of the accuracy
of the estimated influence and the quality of the selected nodes in maximizing
the influence.


title: The evolution of the dust and gas content in galaxies

abstract:
  We use deep Herschel PACS and SPIRE observations in GOODSS, GOODSN and COSMOS
to estimate the average dust mass (Mdust) of galaxies on a redshift-stellar
mass (Mstar)-SFR grid. We study the scaling relations between Mdust, Mstar and
SFR at z<=2.5. No clear evolution of Mdust is observed at fixed SFR and Mstar.
We find a tight correlation between SFR and Mdust, likely a consequence of the
Schmidt-Kennicutt (S-K) law. The Mstar-Mdust correlation observed by previous
works flattens or sometimes disappears when fixing the SFR. Most of it likely
derives from the combination of the Mdust-SFR and Mstar-SFR correlations. We
then investigate the gas content as inferred by converting Mdust by assuming
that the dust/gas ratio scales linearly with the gas metallicity. All galaxies
in the sample follow, within uncertainties, the same SFR-Mgas relation
(integrated S-K law), which broadly agrees with CO-based results for the bulk
of the population, despite the completely different approaches. The majority of
galaxies at z~2 form stars with an efficiency (SFE=SFR/Mgas) ~5 times higher
than at z~0. It is not clear what fraction of such variation is an intrinsic
redshift evolution and what fraction arises from selection effects. The gas
fraction (fgas) decreases with Mstar and increases with SFR, and does not
evolve with z at fixed Mstar and SFR. We explain these trends by introducing a
universal relation between fgas, Mstar and SFR, non-evolving out to z~2.5.
Galaxies move across this relation as their gas content evolves in time. We use
the 3D fundamental fgas-Mstar-SFR relation and the redshift evolution of the
Main Sequence to estimate the evolution of fgas in the average population of
galaxies as a function of z and Mstar, and we find evidence a downsizing
scenario.


title: Journeys Through Antigravity?

abstract:
  A possibility of journeys through antigravity has recently been proposed,
with the suggestion that Weyl-invariant extension of scalars coupled to
Einstein gravity allows for an unambiguous classical evolution through
cosmological singularities in anisotropic spacetimes. We compute the Weyl
invariant curvature squared and find that it blows up for the proposed
anisotropic solution both at the Big Crunch as well as at the Big Bang.
Therefore the cosmological singularities are not resolved by uplifting Einstein
theory to a Weyl invariant model.


title:
Hierarchical Model of Human Guidance Performance Based on Interaction
  Patterns in Behavior

abstract:
  This paper describes a framework for the investigation and modeling of human
spatial guidance behavior in complex environments. The model is derived from
the concept of interaction patterns, which represent the invariances or
symmetries inherent in the interactions between an agent and its environment.
These patterns provide the basic elements needed for the formalization of
spatial behavior and determine a natural hierarchy that can be unified under a
hierarchical hidden Markov model.


title:
Vortices in holographic superfluids and superconductors as conformal
  defects

abstract:
  We present a detailed study of a single vortex in a holographic symmetry
breaking phase. At low energies the system flows to an nontrivial conformal
fixed point. Novel vortex physics arises from the interaction of these gapless
degrees of freedom with the vortex: at low energies the vortex may be
understood as a conformal defect in this low energy theory. Defect conformal
symmetry allows the construction of a simple infrared geometry describing a new
kind of extremal horizon: a Poincare horizon with a small bubble of magnetic
Reissner-Nordstrom horizon inside it that carries a single unit of magnetic
flux and a finite amount of entropy even at zero temperature. We also construct
the full geometry describing the vortex at finite temperature in a UV complete
theory. We study both superfluid and superconducting boundary conditions and
calculate thermodynamic properties of the vortex. A study of vortex stability
reveals that the dual superconductor can be Type I or Type II, depending on the
charge of the condensed scalar. Finally, we study forces on a moving vortex at
finite temperature from the point of view of defect conformal symmetry and show
that these forces can be expressed in terms of Kubo formulas of defect CFT
operators.


title:
Diversity and Social Network Structure in Collective Decision Making:
  Evolutionary Perspectives with Agent-Based Simulations

abstract:
  Collective, especially group-based, managerial decision making is crucial in
organizations. Using an evolutionary theoretic approach to collective decision
making, agent-based simulations were conducted to investigate how human
collective decision making would be affected by the agents' diversity in
problem understanding and/or behavior in discussion, as well as by their social
network structure. Simulation results indicated that groups with consistent
problem understanding tended to produce higher utility values of ideas and
displayed better decision convergence, but only if there was no group-level
bias in collective problem understanding. Simulation results also indicated the
importance of balance between selection-oriented (i.e., exploitative) and
variation-oriented (i.e., explorative) behaviors in discussion to achieve
quality final decisions. Expanding the group size and introducing non-trivial
social network structure generally improved the quality of ideas at the cost of
decision convergence. Simulations with different social network topologies
revealed collective decision making on small-world networks with high local
clustering tended to achieve highest decision quality more often than on random
or scale-free networks. Implications of this evolutionary theory and simulation
approach for future managerial research on collective, group, and multi-level
decision making are discussed.


title: Quartic Spectrahedra

abstract:
  Quartic spectrahedra in 3-space form a semialgebraic set of dimension 24.
This set is stratified by the location of its ten nodes. There are twenty
maximal strata, identified recently by Degtyarev and Itenberg, via the global
Torelli Theorem for real K3 surfaces. We here give a new proof that is
self-contained and algorithmic. This involves extending Cayley's
characterization of quartic symmetroids, by the property that the branch locus
of the projection from a node consists of two cubic curves. This paper
represents a first step towards the classification of all spectrahedra of a
given degree and dimension.


title: Eigenvalue spectrum of lattice $\mathcal{N}=4$ super Yang-Mills

abstract:
  We present preliminary results for the eigenvalue spectrum of
four-dimensional ${\cal N}=4$ super Yang-Mills theory on the lattice. In
particular, by studying the the spectral density a measurement of the anomalous
dimension is made and found to be consistent with zero.


title:
Stability boundaries and collisions of two-dimensional solitons in
  PT-symmetric couplers with the cubic-quintic nonlinearity

abstract:
  We introduce one- and two-dimensional (1D and 2D) models of parity-time ($%
\mathcal{PT}$) -symmetric couplers with the mutually balanced linear gain and
loss applied to the two cores, and cubic-quintic (CQ) nonlinearity acting in
each one. The 2D and 1D models may be realized in dual-core optical waveguides,
in the spatiotemporal and spatial domains, respectively. Stationary solutions
for $\mathcal{PT}$-symmetric solitons in these systems reduce to their
counterparts in the usual coupler. The most essential problem is the stability
of the solitons, which become unstable against symmetry breaking with the
increase of the energy (norm), and retrieve the stability at still larger
energies. The boundary value of the intercore-coupling constant, above which
the solitons are completely stable, is found by means of an analytical
approximation, based on the CW (zero-dimensional) counterpart of the system.
The approximation demonstrates good agreement with numerical findings for the
1D and 2D solitons. Numerical results for the stability limits of the 2D
solitons are obtained by means of the computation of eigenvalues for small
perturbations, and verified in direct simulations. Although large parts of the
solitons families are unstable, the instability is quite weak. Collisions
between 2D solitons in the $\mathcal{PT}$-symmetric coupler are studied by
means of simulations. Outcomes of the collisions are inelastic but not
destructive, as they do not break the $\mathcal{PT}$ symmetry.


title:
Measuring the Angular Momentum Distribution in Core-Collapse Supernova
  Progenitors with Gravitational Waves

abstract:
  The late collapse, core bounce, and the early postbounce phase of rotating
core collapse leads to a characteristic gravitational wave (GW) signal. The
precise shape of the signal is governed by the interplay of gravity, rotation,
nuclear equation of state (EOS), and electron capture during collapse. We
explore the dependence of the signal on total angular momentum and its
distribution in the progenitor core by means of a large set of axisymmetric
general-relativistic core collapse simulations in which we vary the initial
angular momentum distribution in the core. Our simulations include a
microphysical finite-temperature EOS, an approximate electron capture treatment
during collapse, and a neutrino leakage scheme for the postbounce evolution. We
find that the precise distribution of angular momentum is relevant only for
very rapidly rotating cores with T/|W|>~8% at bounce. We construct a numerical
template bank from our baseline set of simulations, and carry out additional
simulations to generate trial waveforms for injection into simulated advanced
LIGO noise at a fiducial galactic distance of 10 kpc. Using matched filtering,
we show that for an optimally-oriented source and Gaussian noise, advanced
Advanced LIGO could measure the total angular momentum to within ~20%, for
rapidly rotating cores. For most waveforms, the nearest known degree of
precollapse differential rotation is correctly inferred by both our matched
filtering analysis and an alternative Bayesian model selection approach. We
test our results for robustness against systematic uncertainties by injecting
waveforms from simulations using a different EOS and and variations in the
electron fraction in the inner core. The results of these tests show that these
uncertainties significantly reduce the accuracy with which the total angular
momentum and its precollapse distribution can be inferred from observations.


title: Partitions of unity and coverings

abstract:
  The aim of this paper is to prove all well-known metrization theorems using
partitions of unity. To accomplish this, we first discuss sufficient and
necessary conditions for existence of $\mathcal{U}$-small partitions of unity
(partitions of unity subordinated to an open cover $\mathcal{U}$ of a
topological space $X$).


title: The spt-crank for overpartitions

abstract:
  Bringmann, Lovejoy, and Osburn showed that the generating functions of the
spt-overpartition functions spt(n), spt1(n), spt2(n), and M2spt(n) are
quasimock theta functions, and satisfy a number of simple Ramanujan-like
congruences. Andrews, Garvan, and Liang defined an spt-crank in terms of
weighted vector partitions which combinatorially explain simple congruences mod
5 and 7 for spt (n). Chen, Ji, and Zang were able to define this spt-crank in
terms of ordinary partitions. In this paper we define spt-cranks in terms of
vector partitions that combinatorially explain the known simple congruences for
all the spt-overpartition functions as well as new simple congruences. For all
the overpartition functions except M2spt(n) we are able to define the spt-crank
purely in terms of marked overpartitions. The proofs of the congruences depend
on Bailey's Lemma and the difference formulas for the Dyson rank of an
overpartition and the M2-rank of a partition without repeated odd parts.


title: Induced Matchings and the Algebraic Stability of Persistence Barcodes

abstract:
  We define a simple, explicit map sending a morphism $f:M \rightarrow N$ of
pointwise finite dimensional persistence modules to a matching between the
barcodes of $M$ and $N$. Our main result is that, in a precise sense, the
quality of this matching is tightly controlled by the lengths of the longest
intervals in the barcodes of $\ker f$ and $\mathop{\mathrm{coker}} f$. As an
immediate corollary, we obtain a new proof of the algebraic stability of
persistence, a fundamental result in the theory of persistent homology. In
contrast to previous proofs, ours shows explicitly how a $\delta$-interleaving
morphism between two persistence modules induces a $\delta$-matching between
the barcodes of the two modules. Our main result also specializes to a
structure theorem for submodules and quotients of persistence modules, and
yields a novel "single-morphism" characterization of the interleaving relation
on persistence modules.


title: CSS galaxy embedded within the core of a bright X-ray cluster

abstract:
  We discovered an X-ray cluster in a recent pointed Chandra observation of the
radio-loud compact-steep-spectrum source 1321+045 at the redshift of 0.263.
1321+045 is part of larger survey which aims to study the X-rays properties of
weak compact radio sources. Compact radio sources are young objects at the
beginning of their evolution and if embedded in an X-ray cluster offer unique
opportunities to study the cluster heating process.


title:
Statistical Searches for Microlensing Events in Large, Non-Uniformly
  Sampled Time-Domain Surveys: A Test Using Palomar Transient Factory Data

abstract:
  Many photometric time-domain surveys are driven by specific goals, such as
searches for supernovae or transiting exoplanets, which set the cadence with
which fields are re-imaged. In the case of the Palomar Transient Factory (PTF),
several sub-surveys are conducted in parallel, leading to non-uniform sampling
over its $\sim$$20,000 \mathrm{deg}^2$ footprint. While the median $7.26
\mathrm{deg}^2$ PTF field has been imaged $\sim$40 times in \textit{R}-band,
$\sim$$2300 \mathrm{deg}^2$ have been observed $>$100 times. We use PTF data to
study the trade-off between searching for microlensing events in a survey whose
footprint is much larger than that of typical microlensing searches, but with
far-from-optimal time sampling. To examine the probability that microlensing
events can be recovered in these data, we test statistics used on uniformly
sampled data to identify variables and transients. We find that the von Neumann
ratio performs best for identifying simulated microlensing events in our data.
We develop a selection method using this statistic and apply it to data from
fields with $>$10 $R$-band observations, $1.1\times10^9$ light curves,
uncovering three candidate microlensing events. We lack simultaneous,
multi-color photometry to confirm these as microlensing events. However, their
number is consistent with predictions for the event rate in the PTF footprint
over the survey's three years of operations, as estimated from near-field
microlensing models. This work can help constrain all-sky event rate
predictions and tests microlensing signal recovery in large data sets, which
will be useful to future time-domain surveys, such as that planned with the
Large Synoptic Survey Telescope.


title:
Electron effective mass in Al$_{0.72}$Ga$_{0.28}$N alloys determined by
  mid-infrared optical Hall effect

abstract:
  The effective electron mass parameter in Si-doped Al$_{0.72}$Ga$_{0.28}$N is
determined to be $m^\ast=(0.336\pm0.020)\,m_0$ from mid-infrared optical Hall
effect measurements. No significant anisotropy of the effective electron mass
parameter is found supporting theoretical predictions. Assuming a linear change
of the effective electron mass with the Al content in AlGaN alloys and
$m^\ast=0.232\,m_0$ for GaN, an average effective electron mass of
$m^\ast=0.376\,m_0$ can be extrapolated for AlN. The analysis of mid-infrared
spectroscopic ellipsometry measurements further confirms the two phonon mode
behavior of the E$_1$(TO) and one phonon mode behavior of the A$_1$(LO) phonon
mode in high-Al-content AlGaN alloys as seen in previous Raman scattering
studies.


title: Criteria for pointwise growth and their role in invasion processes

abstract:
  This article is concerned with pointwise growth and spreading speeds in
systems of parabolic partial differential equations. Several criteria exist for
quantifying pointwise growth rates. These include the location in the complex
plane of singularities of the pointwise Green's function and pinched double
roots of the dispersion relation. The primary aim of this work is to establish
some rigorous properties related to these criteria and the relationships
between them. In the process, we discover that these concepts are not
equivalent and point to some interesting consequences for nonlinear front
invasion problems. Among the more striking is the fact that pointwise growth
does not depend continuously on system parameters. Other results include a
determination of the circumstances under which pointwise growth on the real
line implies pointwise growth on a semi-infinite interval. As a final
application, we consider invasion fronts in an infinite cylinder and show that
the linear prediction always favors the formation of stripes in the leading
edge.


title: Performance Evaluation of Java File Security System (JFSS)

abstract:
  Security is a critical issue of the modern file and storage systems, it is
imperative to protect the stored data from unauthorized access. We have
developed a file security system named as Java File Security System (JFSS) [1]
that guarantee the security to files on the demand of all users. It has been
developed on Java platform. Java has been used as programming language in order
to provide portability, but it enforces some performance limitations. It is
developed in FUSE (File System in User space) [3]. Many efforts have been done
over the years for developing file systems in user space (FUSE). All have their
own merits and demerits. In this paper we have evaluated the performance of
Java File Security System (JFSS). Over and over again, the increased security
comes at the expense of user convenience, performance or compatibility with
other systems. JFSS system performance evaluations show that encryption
overheads are modest as compared to security.


title: Calculating risk in functional programming

abstract:
  In the trend towards tolerating hardware unreliability, accuracy is exchanged
for cost savings. Running on less reliable machines, "functionally correct"
code becomes risky and one needs to know how risk propagates so as to mitigate
it. Risk estimation, however, seems to live outside the average programmer's
technical competence and core practice. In this paper we propose that risk be
constructively handled in functional programming by (a) writing programs which
may choose between expected and faulty behaviour, and by (b) reasoning about
them in a linear algebra extension to standard, a la Bird-Moor algebra of
programming. In particular, the propagation of faults across standard program
transformation techniques known as tupling and fusion is calculated, enabling
the fault of the whole to be expressed in terms of the faults of its parts.


title:
Free-charge carrier parameters of n-type, p-type and compensated InN:Mg
  determined by Infrared Spectroscopic Ellipsometry

abstract:
  Infrared spectroscopic ellipsometry is applied to investigate the free-charge
carrier properties of Mg-doped InN films. Two representative sets of In-polar
InN grown by molecular beam epitaxy with Mg concentrations ranging from
$1.2\times10^{17}$ cm$^{-3}$ to $8\times10^{20}$ cm$^{-3}$ are compared. P-type
conductivity is indicated for the Mg concentration range of $1\times10^{18}$
cm$^{-3}$ to $9\times10^{19}$ cm$^{-3}$ from a systematic investigation of the
longitudinal optical phonon plasmon broadening and the mobility parameter in
dependence of the Mg concentration. A parameterized model that accounts for the
phonon-plasmon coupling is applied to determine the free-charge carrier
concentration and mobility parameters in the doped bulk InN layer as well as
the GaN template and undoped InN buffer layer for each sample. The free-charge
carrier properties in the second sample set are consistent with the results
determined in a comprehensive analysis of the first sample set reported earlier
[Sch\"oche et al., J. Appl. Phys. 113, 013502 (2013)]. In the second set, two
samples with Mg concentration of $2.3\times10^{20}$ cm$^{-3}$ are identified as
compensated n-type InN with very low electron concentrations which are suitable
for further investigation of intrinsic material properties that are typically
governed by high electron concentrations even in undoped InN. The compensated
n-type InN samples can be clearly distinguished from the p-type conductive
material of similar plasma frequencies by strongly reduced phonon plasmon
broadening.


title: The Study of Nebular Emission on Nearby Spiral Galaxies in the IFU Era

abstract:
  A new generation of wide-field emission-line surveys based on integral field
units (IFU) is allowing us to obtain spatially resolved information of the
gas-phase emission in nearby late-type galaxies, based on large samples of HII
regions and full two-dimensional coverage.These observations are allowing us to
discover and characterise abundance differentials between galactic
substructures and new scaling relations with global physical properties. Here I
review some highlights of our current studies employing this technique: (1) the
case study of NGC 628, the largest galaxy ever sampled with an IFU; (2) a
statistical approach to the abundance gradients of spiral galaxies, which
indicates a universal radial gradient for oxygen abundance; and (3) the
discovery of a new scaling relation of HII regions in spiral galaxies, the
local mass-metallicity relation of star-forming galaxies. The observational
properties and constrains found in local galaxies using this new technique will
allow us to interpret the gas-phase abundance of analogue high-z systems.


title: Volume of the polar of random sets and shadow systems

abstract:
  We obtain optimal inequalities for the volume of the polar of random sets,
generated for instance by the convex hull of independent random vectors in
Euclidean space. Extremizers are given by random vectors uniformly distributed
in Euclidean balls. This provides a random extension of the Blaschke-Santalo
inequality which, in turn, can be derived by the law of large numbers. The
method involves generalized shadow systems, their connection to Busemann type
inequalities, and how they interact with functional rearrangement inequalities.


title:
Adiabatic two-photon quantum gate operations using a long-range photonic
  bus

abstract:
  Adiabatic techniques have much potential to realise practical and robust
optical waveguide devices. Traditionally photonic elements are limited to
coupling schemes that rely on proximity to nearest neighbour elements. We
combine adiabatic passage with a continuum based long-range optical bus to
break free from such topological restraints and thereby outline a new approach
to photonic quantum gate design. We explicitly show designs for adiabatic
quantum gates that produce a Hadamard, 50:50 and 1/3:2/3 beam splitter, and
non-deterministic CNOT gate based on planar thin, shallow ridge waveguides. Our
calculations are performed under conditions of one and two-photon inputs.


title: KIDs prefer special cones

abstract:
  As complement to Class. Quantum Grav. 30 (2013) 235036 we analyze Killing
initial data on characteristic Cauchy surfaces in conformally rescaled vacuum
spacetimes satisfying Friedrich's conformal field equations. As an application,
we derive and discuss the KID equations on a light-cone with vertex at past
timelike infinity.


title: Timing Noise Analysis of NANOGrav Pulsars

abstract:
  We analyze timing noise from five years of Arecibo and Green Bank
observations of the seventeen millisecond pulsars of the North-American
Nanohertz Observatory for Gravitational Waves (NANOGrav) pulsar timing array.
The weighted autocovariance of the timing residuals was computed for each
pulsar and compared against two possible models for the underlying noise
process. The first model includes red noise and predicts the autocovariance to
be a decaying exponential as a function of time lag. The second model is
Gaussian white noise whose autocovariance would be a delta function. We also
perform a ``nearest-neighbor" correlation analysis. We find that the
exponential process does not accurately describe the data. Two pulsars,
J1643-1224 and J1910+1256, exhibit weak red noise, but the rest are well
described as white noise. The overall lack of evidence for red noise implies
that sensitivity to a (red) gravitational wave background signal is limited by
statistical rather than systematic uncertainty. In all pulsars, the ratio of
non-white noise to white noise is low, so that we can increase the cadence or
integration times of our observations and still expect the root-mean-square of
timing residual averages to decrease by the square-root of observation time,
which is key to improving the sensitivity of the pulsar timing array.


title: An introduction to arrays of coupled waveguides

abstract:
  We present the theoretical basis needed to work in the field of photonic
lattices. We start by studying the field modes in- and out-side a single
waveguide. Then, we use perturbation theory to deal with an array of coupled
waveguides and construct mode-coupling theory. Finally, we realize a survey of
optical analogues to quantum systems accompanied by an extensive bibliography.


title:
Scaling, topological tunneling and actions for weak coupling DWF
  calculations

abstract:
  We present results from a 2+1 flavor DWF calculation at 1/a = 3 GeV and
discuss strategies for similar calculations at finer lattice spacings which
will target charm physics. At weak coupling the autocorrelation time of the
global topological charge becomes very long because the HMC algorithm has
trouble moving between topological sectors. We report the results of
simulations that test two ideas for reducing the autocorrelation time of
topological charge. In weak coupling quenched simulations we find that the open
boundary conditions suggested by L\"uscher and Schaefer do not prevent the
appearance of extremely long autocorrelation times for topological observables.
We discuss the idea of a "dislocation-enhancing determinant" and show that it
can produce an increase in topological tunneling.


title: Algebraic Representations of Ergodic Actions and Super-Rigidity

abstract:
  We revisit Margulis-Zimmer Super-Rigidity and provide some generalizations.
In particular we obtain super-rigidity results for lattices in higher-rank
groups or product of groups, targeting at algebraic groups over arbitrary
fields with absolute values. We also obtain cocycle super-rigidity results for
a wide class of groups with respect to mixing actions. Our approach is based on
a systematic study of algebraic representations of ergodic actions.


title: Compression algorithm for multi-determinant wave functions

abstract:
  A compression algorithm is introduced for multi-determinant wave functions
which can greatly reduce the number of determinants that need to be evaluated
in quantum Monte Carlo calculations. We have devised an algorithm with three
levels of compression, the least costly of which yields excellent results in
polynomial time. We demonstrate the usefulness of the compression algorithm for
evaluating multi-determinant wave functions in quantum Monte Carlo
calculations, whose computational cost is reduced by factors of between
1.885(3) and 25.23(4) for the examples studied. We have found evidence of
sub-linear scaling of quantum Monte Carlo calculations with the number of
determinants when the compression algorithm is used.


title: Bohmian Trajectories For a Time Foliation with Kinks

abstract:
  This paper concerns the hypersurface Bohm-Dirac model, i.e., the version of
Bohmian mechanics in a relativistic space-time proposed by D\"urr et al. [1],
which assumes a preferred foliation of space-time into spacelike hypersurfaces
(called the time foliation) as given. We show that the leaves of the time
foliation do not have to be smooth manifolds but can be allowed to have kinks.
More precisely, we show that, also for leaves with kinks, the trajectories are
still well defined and the appropriate $|\psi|^2$ distribution is still
equivariant, so that the theory is still empirically equivalent to standard
quantum mechanics. This result applies to the case where the time foliation is
determined by the previously proposed law $dn=0$, since such a foliation
generically has kinks.


title: Minimal Graphs and Graphical Mean Curvature Flow in $M \times \mathbb R$

abstract:
  In this paper, we investigate the problem of finding minimal graphs in
$M^n\times\mathbb R$ with general boundary conditions using a variational
approach. We look at so called generalized solutions of the Dirichlet Problem
that minimize a functional adapted from the area functional. We construct
barriers to show that for certain conditions on our boundary data, $\phi(x)$,
the solutions obtain the boundary data $\phi(x)$. Following Oliker-Ural'tseva
we also consider solutions $u^{\epsilon}$ of a perturbed mean curvature flow
for $\epsilon > 0$. We show that there are subsequences $\epsilon_i$ where
$u^{\epsilon_i}$ converges to a function $u$ satisfying the mean curvature
flow, and subsequences $u(\cdot, t_i)$ converge to a generalized solution $\bar
u$ of the Dirichlet problem. Furthermore, $\bar u$ depends only on the choice
of sequence $\epsilon_i$.


title:
A wide search for obscured Active Galactic Nuclei using XMM-Newton and
  WISE

abstract:
  We use a combination of the XMM-Newton serendipitous X-ray survey with the
optical SDSS, and the infrared WISE all-sky survey in order to check the
efficiency of the low X-ray to infrared luminosity selection method in finding
heavily obscured AGN. We select sources in the 2-8 keV X-ray band which have a
redshift determination in the SDSS catalogue. We match this sample with the
WISE catalogue, and fit the SEDs of the 2844 sources which have three, or more,
photometric data-points in the infrared. We then select the heavily obscured
AGN candidates by comparing their 12 micron AGN luminosity to the observed 2-10
keV X-ray luminosity and their expected intrinsic relation. With this approach
we find 20 candidates, and we examine their X-ray and optical spectra. Of the
20 initial candidates, we find nine (64%; out of the 14, for which X-ray
spectra could be fit) based on the X-ray spectra, and seven (78%; out of the
nine detected spectroscopically in the SDSS) based on the [OIII] line fluxes.
Combining all criteria, we determine the final number of heavily obscured AGN
to be 12-19, and the number of Compton-thick AGN to be 2-5, showing that the
method is reliable in finding obscured AGN, but not Compton-thick. However
those numbers are smaller than what would be expected from X-ray background
population synthesis models, which demonstrates how the optical-infrared
selection and the scatter of the L_x-L_MIR relation introduced by observational
constraints limit the efficiency of the method. Finally, we test popular
obscured AGN selection methods based on mid-infrared colours, and find that the
probability of an AGN to be selected by its mid-infrared colours increases with
the X-ray luminosity. However, a selection scheme based on a relatively low
X-ray luminosity and mid-infrared colours characteristic of QSOs would not
select ~25% of the heavily obscured AGN of our sample. (abridged)


title: Equivalent groupoids have Morita equivalent Steinberg algebras

abstract:
  Let $G$ and $H$ be Hausdorff ample groupoids and let $R$ be a commutative
unital ring. We show that if $G$ and $H$ are equivalent in the sense of
Muhly-Renault-Williams, then the associated Steinberg algebras of locally
constant $R$-valued functions with compact support are Morita equivalent. We
deduce that collapsing a ``collapsible subgraph" of a directed graph in the
sense of Crisp and Gow does not change the Morita-equivalence class of the
associated Leavitt path $R$-algebra, and therefore a number of graphical
constructions which yield Morita equivalent $C^*$-algebras also yield Morita
equivalent Leavitt path algebras.


title:
Array of dipoles near a hyperbolic metamaterial:
  Evanescent-to-propagating Floquet wave transformation

abstract:
  We investigate the capabilities of hyperbolic metamaterials (HMs) to couple
near-fields (i.e., evanescent waves) emitted by a two-dimensional periodic
array of electric dipoles to propagating waves. In particular, large order
Floquet harmonics with transverse magnetic (TM) polarization, that would be
evanescent in free space and therefore confined near the array surface, are
transformed into propagating spectrum inside the HM, and thus carry power away.
Because of this property, independent of the finite or infinite extent of the
HM, the power generated by an array of elementary electric dipoles is strongly
enhanced when the array is located near a HM surface and is mostly directed
into the HM. In particular, the power coupled to the HM exhibits narrow
frequency features that can be employed in detection applications. The results
shown in this paper provide a clear signature on wave dynamics in HMs. A link
between the results pertaining to the case of an isolated dipole on top of HM
and the planar array is found convenient to explain both wave dynamics and
spectral power distribution. The narrow frequency emission features appear in
the array case only; they depend on its spatial periodicity and remarkable on
the HM thickness.


title: Integral relations for solutions of confluent Heun equations

abstract:
  Firstly, we construct kernels of integral relations among solutions of the
confluent Heun equation (CHE) and its limit, the reduced CHE (RCHE). In both
cases we generate additional kernels by systematically applying substitutions
of variables. Secondly, we establish integral relations between known solutions
of the CHE that are power series and solutions that are series of special
functions; and similarly for solutions of the RCHE. Thirdly, by using one of
the integral relations as an integral transformation we obtain a new series
solution of the spheroidal wave equation. From this solution we construct new
solutions of the general CHE, and show that these are suitable for solving the
radial part of the two-center problem in quantum mechanics. Finally, by
applying a limiting process to kernels for the CHEs we obtain kernels for {two}
double-confluent Heun equations. As a result, we deal with kernels of four
equations of the Heun family, each equation presenting a distinct structure of
singularities. In addition, we find that the known kernels for the Mathieu
equation are special instances of kernels of the RCHE.


title:
Comparaci\'on de tres t\'ecnicas distintas con datos reales de pozo, en
  la determinaci\'on de la permeabilidad

abstract:
  We have used three different techniques for permeability prediction from
porosity data in well PX12 at El Lago de Maracaibo. One of these techniques is
statistical and is based in Fuzzy Logic. Another has been developed by H. Pape
et al, based in Fractal Theory and the Kozeny-Carman equations, and the other
one is an empirical model obtained in 1949 by Tixier. We have used 100% of the
permeability-porosity data to obtain the predictor equations in each case. We
have found bet- ter results with the statistical approach. The results obtained
from the fractal model and the Tixier equations are similar in this case. We
have also taken randomly 25% of the data to obtain the pre- dictor equations.
In this case the best results are those obtained with fractal theory.


title:
Quiescent Reconnection Rate Between Emerging Active Regions and
  Preexisting Field, with Associated Heating: NOAA AR11112

abstract:
  When magnetic flux emerges from beneath the photosphere it displaces the
preexisting field in the corona, and a current sheet generally forms at the
boundary between the old and new magnetic domains. Reconnection in the current
sheet relaxes this highly stressed configuration to a lower energy state. This
scenario is most familiar, and most often studied, in flares, where the flux
transfer is rapid. We present here a study of steady, quiescent flux transfer
occurring at a rate three orders of magnitude below that in a large flare. In
particular we quantify the reconnection rate, and related energy release,
occurring as new polarity emerges to form Active Region 11112
(2010-10-16T00:S18W14) within a region of preexisting flux. A bright, low lying
kernel of coronal loops above the emerging polarity, observed with AIA onboard
SDO and XRT onboard Hinode, originally shows magnetic connectivity only between
regions of newly emerged flux when overlaid on magnetograms from HMI. Over the
course of several days, this bright kernel advances into the preexisting flux.
The advancement of an easily visible boundary into the old flux regions allows
measurement of the rate of reconnection between old and new magnetic domains.
We compare the reconnection rate to the inferred heating of the coronal plasma.
To our knowledge, this is the first measurement of steady, quiescent heating
related to reconnection. We determine that the newly emerged flux reconnects at
a fairly steady rate of 0.38e16 Mx/s over two days, while the radiated power
varies between 2~8e25 erg/s over the same time. We find that as much as 40% of
the total emerged flux at any given time may have reconnected. The total amount
of transferred flux (1e21 Mx) and radiated energy (7.2e30 ergs) are comparable
to that of a large M- or small X-class flare, but are stretched out over 45
hours.


title:
Implementaci\'on de un Filtro de Polarizaci\'on basado en la
  Descomposici\'on del Valor Singular (SVD)

abstract:
  In this job we have introduced a filtered adaptive technique that allows
highlighting selective seismic events according to its polarization. This
technique consists in the implementation of a polarizing filter based on the
Single Value Decomposition (SVD). The SVD have a great variety of application
in the processing of signals and images, in this case a seismic reading is
considered an image of the underground. With this technique, was achieved to
make a reconstruction of the seismic image generated after the two first
autoimages reproduce the polarization attributes (rectilinearity and planarity)
of the moving particles, suppress the high frequency random sound, improve the
signal-noise ratio and this way we were able to obtain a clear and coherent
image of the associated seismic events to the primary energies of reflection.


title:
An infinite family of pure quartic fields with class number $\equiv
  2\pmod{4}$

abstract:
  Let us consider the pure quartic fields of the form $\K=\Q(\sqrt[4]{p})$
where $0<p\equiv 7\pmod{16}$ is a prime integer. We prove that the $2$-class
group of $\K$ has order $2$. As a consequence of this, if the class number of
$\K$ is $2$, then the Hilbert class field of $\K$ is $\H_\K=\K(\sqrt{2})$.
Finally, we find a criterion to decide if an ideal of the ring of integers or
$\K$ is principal or non-principal.


title:
Networks of silicon nanowires: a large-scale atomistic electronic
  structure analysis

abstract:
  Networks of silicon nanowires possess intriguing electronic properties
surpassing the predictions based on quantum confinement of individual
nanowires. Employing large-scale atomistic pseudopotential computations, as yet
unexplored branched nanostructures are investigated in the subsystem level, as
well as in full assembly. The end product is a simple but versatile expression
for the bandgap and band edge alignments of multiply-crossing Si nanowires for
various diameters, number of crossings, and wire orientations. Further progress
along this line can potentially topple the bottom-up approach for Si nanowire
networks to a top-down design by starting with functionality and leading to an
enabling structure.


title: On Estimating Many Means, Selection Bias, and the Bootstrap

abstract:
  With recent advances in high throughput technology, researchers often find
themselves running a large number of hypothesis tests (thousands+) and esti-
mating a large number of effect-sizes. Generally there is particular interest
in those effects estimated to be most extreme. Unfortunately naive estimates of
these effect-sizes (even after potentially accounting for multiplicity in a
testing procedure) can be severely biased. In this manuscript we explore this
bias from a frequentist perspective: we give a formal definition, and show that
an oracle estimator using this bias dominates the naive maximum likelihood
estimate. We give a resampling estimator to approximate this oracle, and show
that it works well on simulated data. We also connect this to ideas in
empirical Bayes.


title: Local Orthogonality provides better upper bound for Hardy's nonlocality

abstract:
  The amount of nonlocality in quantum theory is limited compared to that
allowed in generalized no-signaling theory [Found. Phys. 24, 379 (1994)]. This
feature, for example, gets manifested in the amount of Bell inequality
violation as well as in the degree of success probability of Hardy's
(Cabello's) nonlocality argument. Physical principles like information
causality and macroscopic locality have been proposed for analyzing restricted
nonlocality in quantum mechanics---viz. explaining the Cirel'son bound.
However, these principles are not that much successful in explaining the
maximum success probability of Hardy's as well as Cabello's argument in quantum
theory. Here we show that, a newly proposed physical principle namely Local
Orthogonality does better by providing a tighter upper bound on the success
probability for Hardy's nonlocality. This bound is relatively closer to the
corresponding quantum value compared to the bounds achieved from other
principles.


title: On the knot Floer homology of twisted torus knots

abstract:
  In this paper we study the knot Floer homology of a subfamily of twisted $(p,
q)$ torus knots where $q \equiv\pm1$ (mod $p$). Specifically, we classify the
knots in this subfamily that admit L-space surgeries. To do calculations, we
use the fact that these knots are $(1, 1)$ knots and, therefore, admit a genus
one Heegaard diagram.


title: Homotopy locally presentable enriched categories

abstract:
  We develop a homotopy theory of categories enriched in a monoidal model
category V. In particular, we deal with homotopy weighted limits and colimits,
and homotopy local presentability. The main result, which was known for
simplicially-enriched categories, links homotopy locally presentable
V-categories with combinatorial model V-categories, in the case where has all
objects of V are cofibrant.


title: When the beat goes off: Mutually interacting complex systems

abstract:
  While musical performances are determined by many factors such as the musical
genre and interpretation, rhythmic synchronization is at the foundation of
musical interaction. Here, we study the statistical nature of the mutual
interaction of two humans when playing rhythms. We find that the interbeat
intervals (IBIs) of both laypeople and professional musicians exhibit
scale-free (power law) cross-correlations. Surprisingly, the next beat to be
played by one person is dependent on the entire history of the other persons
IBIs on time scales up to several minutes. A general stochastic model for
Mutually Interacting Complex Systems (MICS) is introduced which suggests a
physiologically motivated explanation for the occurrence of scale-free
cross-correlations. In addition, The MICS model may be applicable to study the
dynamics of other complex systems where scale-free cross-correlations have been
observed, including econophysics, physiological time series and collective
behavior of animal flocks. The interdisciplinary study provides an
understanding of fundamental characteristics of timing and synchronization at
the inter-brain level and leads directly to applications in audio engineering.


title:
U-spin analysis of CP violation in $B^- $ decays into three charged
  light pseudoscalar mesons

abstract:
  We carry out a $U$-spin symmetry analysis for CP violation in $B^- $ decays
into three light $\pi^-\pi^-\pi^+$, $\pi^- K^-K^+$, $K^-K^-K^+$ and $K^-
\pi^-\pi^+$ mesons. We clarify some subtle points in constructing decay
amplitudes with $U=0$ formed by the two negatively charged light mesons in the
final states. $U$-spin conserving momentum independent and momentum dependent
decay amplitudes, and $U$-spin violating decay amplitudes due to quark mass
difference are constructed.


title: Recognizing Image Style

abstract:
  The style of an image plays a significant role in how it is viewed, but style
has received little attention in computer vision research. We describe an
approach to predicting style of images, and perform a thorough evaluation of
different image features for these tasks. We find that features learned in a
multi-layer network generally perform best -- even when trained with object
class (not style) labels. Our large-scale learning methods results in the best
published performance on an existing dataset of aesthetic ratings and
photographic style annotations. We present two novel datasets: 80K Flickr
photographs annotated with 20 curated style labels, and 85K paintings annotated
with 25 style/genre labels. Our approach shows excellent classification
performance on both datasets. We use the learned classifiers to extend
traditional tag-based image search to consider stylistic constraints, and
demonstrate cross-dataset understanding of style.


title: Determination of Multipath Security Using Efficient Pattern Matching

abstract:
  Multipath routing is the use of multiple potential paths through a network in
order to enhance fault tolerance, optimize bandwidth use, and improve security.
Selecting data flow paths based on cost addresses performance issues but
ignores security threats. Attackers can disrupt the data flows by attacking the
links along the paths. Denial-of-service, remote exploitation, and other such
attacks launched on any single link can severely limit throughput. Networks can
be secured using a secure quality of service approach in which a sender
disperses data along multiple secure paths. In this secure multi-path approach,
a portion of the data from the sender is transmitted over each path and the
receiver assembles the data fragments that arrive. One of the largest
challenges in secure multipath routing is determining the security threat level
along each path and providing a commensurate level of encryption along that
path. The research presented explores the effects of real-world attack
scenarios in systems, and gauges the threat levels along each path. Optimal
sampling and compression of network data is provided via compressed sensing.
The probability of the presence of specific attack signatures along a network
path is determined using machine learning techniques. Using these
probabilities, information assurance levels are derived such that security
measures along vulnerable paths are increased.


title: MCUIUC -- A New Framework for Metagenomic Read Compression

abstract:
  Metagenomics is an emerging field of molecular biology concerned with
analyzing the genomes of environmental samples comprising many different
diverse organisms. Given the nature of metagenomic data, one usually has to
sequence the genomic material of all organisms in a batch, leading to a mix of
reads coming from different DNA sequences. In deep high-throughput sequencing
experiments, the volume of the raw reads is extremely high, frequently
exceeding 600 Gb. With an ever increasing demand for storing such reads for
future studies, the issue of efficient metagenomic compression becomes of
paramount importance. We present the first known approach to metagenome read
compression, termed MCUIUC (Metagenomic Compression at UIUC). The gist of the
proposed algorithm is to perform classification of reads based on unique
organism identifiers, followed by reference-based alignment of reads for
individually identified organisms, and metagenomic assembly of unclassified
reads. Once assembly and classification are completed, lossless reference based
compression is performed via positional encoding. We evaluate the performance
of the algorithm on moderate sized synthetic metagenomic samples involving 15
randomly selected organisms and describe future directions for improving the
proposed compression method.


title: Singular evanescent wave resonances

abstract:
  Resonators fold the path of light by reflections leading to a phase balance
and thus constructive addition of propagating waves. However, amplitude
decrease of these waves due to incomplete reflection or material absorption
leads to a finite quality factor of all resonances. Here we report on our
discovery that evanescent waves can lead to a perfect phase and amplitude
balance causing an ideal Fabry-Perot resonance condition in spite of material
absorption and non-ideal reflectivities. This counterintuitive resonance occurs
if and only if the metallic Fabry-Perot plates are in relative motion to each
other separated by a critical distance. We show that the energy needed to
approach the resonance arises from the conversion of the mechanical energy of
motion to electromagnetic energy. The phenomenon is similar to lasing where the
losses in the cavity resonance are exactly compensated by optical gain media
instead of mechanical motion. Nonlinearities and non-localities in material
response will inevitably curtail any singularities however we show the giant
enhancement in non-equilibrium phenomena due to such resonances in moving
media.


title: The Gradient Flow Coupling in Minimal Walking Technicolor

abstract:
  We present a measurement of the running coupling in SU(2) with two adjoint
fermions in the Yang-Mills gradient flow scheme. The simulations are performed
with Schr\"odinger Functional boundary conditions using an improved HEX-smeared
Wilson fermion action. We obtain a step scaling function by defining the
coupling at a scale relative to the finite size of the lattice. We find a
continuum limit with a non-trivial infrared fixed point.


title: On the length of integers in telescopers for proper hypergeometric terms

abstract:
  We show that the number of digits in the integers of a creative telescoping
relation of expected minimal order for a bivariate proper hypergeometric term
has essentially cubic growth with the problem size. For telescopers of higher
order but lower degree we obtain a quintic bound. Experiments suggest that
these bounds are tight. As applications of our results, we give an improved
bound on the maximal possible integer root of the leading coefficient of a
telescoper, and the first discussion of the bit complexity of creative
telescoping.


title:
Gradient estimates and lower bound for the blow-up time of star-shaped
  mean curvature flow

abstract:
  In this paper we consider a star-shaped hypersurface flow by mean curvature.
Without any assumption on the convexity, we give a new proof of gradient
estimate for a short time. As an application, we also give a lower bound for
the blowing up time.


title:
Exploring the QCD phase diagram through relativistic heavy ion
  collisions

abstract:
  We present a review of the studies related to establishing the QCD phase
diagram through high energy nucleus-nucleus collisions. We particularly focus
on the experimental results related to the formation of a quark-gluon phase,
crossover transition and search for a critical point in the QCD phase diagram.


title: Fragment Descriptors in Virtual Screening

abstract:
  This article reviews the application of fragment descriptors at different
stages of virtual screening: filtering, similarity search, and direct activity
assessment using QSAR/QSPR models. Several case studies are considered. It is
demonstrated that the power of fragment descriptors stems from their
universality, very high computational efficiency, simplicity of interpretation
and versatility.


title: Direct Photon Results from CDF

abstract:
  Direct (prompt) photon production is a field of very high interest in hadron
colliders. It provides probes to search for new phenomena and to test QCD
predictions. In this article, two recent cross-section results for direct
photon production using the full CDF Run II data set are presented: diphoton
production and photon production in association with a heavy quark.


title:
Sharp estimates for trilinear oscillatory integrals and an algorithm of
  two-dimensional resolution of singularities

abstract:
  We obtain sharp estimates for certain trilinear oscillatory integrals. In
particular, we extend Phong and Stein's seminal result to a trilinear setting.
This result partially answers a question raised by Christ, Li, Tao and Thiele
concerning the sharp estimates for certain multilinear oscillatory integrals.
The method in this paper relies on a self-contained algorithm of resolution of
singularities in $\mathbb R^2$, which may be of independent interest.


title:
Lower Bounds for a Polynomial on a basic closed semialgebraic set using
  geometric programming

abstract:
  $f,g_1,...,g_m$ be elements of the polynomial ring $\mathbb{R}[x_1,...,x_n]$.
The paper deals with the general problem of computing a lower bound for $f$ on
the subset of $\mathbb{R}^n$ defined by the inequalities $g_i\ge 0$,
$i=1,...,m$. The paper shows that there is an algorithm for computing such a
lower bound, based on geometric programming, which applies in a large number of
cases. The algorithm extends and generalizes earlier algorithms of Ghasemi and
Marshall, dealing with the case $m=0$, and of Ghasemi, Lasserre and Marshall,
dealing with the case $m=1$ and $g_1= M-(x_1^d+\cdots+x_n^d)$. Here, $d$ is
required to be an even integer $d \ge \max\{2,\deg(f)\}$. The algorithm is
implemented in a SAGE program developed by the first author. The bound obtained
is typically not as good as the bound obtained using semidefinite programming,
but it has the advantage that it is computable rapidly, even in cases where the
bound obtained by semidefinite programming is not computable.


title:
Quasisymmetric geometry of the Cantor circles as the Julia sets of
  rational maps

abstract:
  We give three families of parabolic rational maps and show that every Cantor
set of circles as the Julia set of a non-hyperbolic rational map must be
quasisymmetrically equivalent to the Julia set of one map in these families for
suitable parameters. Combining a result obtained before, we give a complete
classification of the Cantor circles Julia sets in the sense of quasisymmetric
equivalence. Moreover, we study the regularity of the components of the Cantor
circles Julia sets and establish a sufficient and necessary condition when a
component of a Cantor circles Julia set is a quasicircle.


title: FPTAS for Counting Monotone CNF

abstract:
  A monotone CNF formula is a Boolean formula in conjunctive normal form where
each variable appears positively. We design a deterministic fully
polynomial-time approximation scheme (FPTAS) for counting the number of
satisfying assignments for a given monotone CNF formula when each variable
appears in at most $5$ clauses. Equivalently, this is also an FPTAS for
counting set covers where each set contains at most $5$ elements. If we allow
variables to appear in a maximum of $6$ clauses (or sets to contain $6$
elements), it is NP-hard to approximate it. Thus, this gives a complete
understanding of the approximability of counting for monotone CNF formulas. It
is also an important step towards a complete characterization of the
approximability for all bounded degree Boolean #CSP problems. In addition, we
study the hypergraph matching problem, which arises naturally towards a
complete classification of bounded degree Boolean #CSP problems, and show an
FPTAS for counting 3D matchings of hypergraphs with maximum degree $4$.
  Our main technique is correlation decay, a powerful tool to design
deterministic FPTAS for counting problems defined by local constraints among a
number of variables. All previous uses of this design technique fall into two
categories: each constraint involves at most two variables, such as independent
set, coloring, and spin systems in general; or each variable appears in at most
two constraints, such as matching, edge cover, and holant problem in general.
The CNF problems studied here have more complicated structures than these
problems and require new design and proof techniques. As it turns out, the
technique we developed for the CNF problem also works for the hypergraph
matching problem. We believe that it may also find applications in other CSP or
more general counting problems.


title: Transformations of Matrix Structures Work Again II

abstract:
  Matrices with the structures of Toeplitz, Hankel, Vandermonde and Cauchy
types are omnipresent in modern computation. The four classes have distinct
features, but in 1990 we showed that Vandermonde and Hankel multipliers
transform all these structures into each other and proposed to employ this
property to extend any successful algorithm that inverts matrices of one of
these classes to inverting matrices of the three other classes. The power of
this approach was widely recognized later, when novel numerically stable
algorithms solved nonsingular Toeplitz linear systems of equations at first in
quadratic and then in nearly linear (versus classical cubic) arithmetic time by
means of transforming Toeplitz into Cauchy matrix structures and then linking
it to the Hierarchical Semiseparable matrix structure, a specialization of
matrix representations employed by the Fast Multipole Method. We first cover
the method of structure transformation comprehensively, then analyze the latter
algorithms for Toeplitz linear systems and extend them to approximate the
products of Vandermonde and Cauchy matrices by a vector and the solutions of
Vandermonde and Cauchy linear systems of equations where they are nonsingular
and well conditioned. We decrease the arithmetic cost of the known algorithms
from quadratic to nearly linear, and similarly for the computations with the
matrices of a more general class having structures of Vandermonde and Cauchy
types and for polynomial and rational evaluation and interpolation. We also
accelerate a little further the known numerical approximation algorithms for a
nonsingular Toeplitz or Toeplitz-like linear system by employing distinct
transformations of matrix structures, and we briefly discuss some natural
research challenges, particularly some promising applications of our techniques
to high precision computations.


title:
Estimating the Norms of Random Circulant and Toeplitz Matrices and Their
  Inverses

abstract:
  We estimate the norms of standard Gaussian random Toeplitz and circulant
matrices and their inverses, mostly by means of combining some basic techniques
of linear algebra. In the case of circulant matrices we obtain sharp
probabilistic estimates, which show that these matrices are expected to be very
well conditioned. Our probabilistic estimates for the norms of standard
Gaussian random Toeplitz matrices are within a factor of 1.4143 from those in
the circulant case. We also achieve partial progress in estimating the norms of
Toeplitz inverses. Namely we yield reasonable probabilistic upper estimates for
these norms assuming certain bounds on the absolute values of two corner
entries of the inverse. Empirically we observe that the condition numbers of
random Toeplitz and general matrices tend to be of the same order. As the
matrix size grows, these numbers grow equally slowly, although faster than for
random circulant matrices.


title: Chapter 10: Algebraic Algorithms

abstract:
  Our Chapter in the upcoming Volume I: Computer Science and Software
Engineering of Computing Handbook (Third edition), Allen Tucker, Teo Gonzales
and Jorge L. Diaz-Herrera, editors, covers Algebraic Algorithms, both symbolic
and numerical, for matrix computations and root-finding for polynomials and
systems of polynomials equations. We cover part of these large subjects and
include basic bibliography for further study. To meet space limitation we cite
books, surveys, and comprehensive articles with pointers to further references,
rather than including all the original technical papers.


title:
Exploiting Direct and Indirect Information for Friend Suggestion in
  ZingMe

abstract:
  Friend suggestion is a fundamental problem in social networks with the goal
of assisting users in creating more relationships, and thereby enhances
interest of users to the social networks. This problem is often considered to
be the link prediction problem in the network. ZingMe is one of the largest
social networks in Vietnam. In this paper, we analyze the current approach for
the friend suggestion problem in ZingMe, showing its limitations and
disadvantages. We propose a new efficient approach for friend suggestion that
uses information from the network structure, attributes and interactions of
users to create resources for the evaluation of friend connection amongst
users. Friend connection is evaluated exploiting both direct communication
between the users and information from other ones in the network. The proposed
approach has been implemented in a new system version of ZingMe. We conducted
experiments, exploiting a dataset derived from the users' real use of ZingMe,
to compare the newly proposed approach to the current approach and some
well-known ones for the accuracy of friend suggestion. The experimental results
show that the newly proposed approach outperforms the current one, i.e., by an
increase of 7% to 98% on average in the friend suggestion accuracy. The
proposed approach also outperforms other ones for users who have a small number
of friends with improvements from 20% to 85% on average. In this paper, we also
discuss a number of open issues and possible improvements for the proposed
approach.


title: The Antiparticles of Neutral Bosons

abstract:
  With the advent of the ability to create and study antihydrogen, we think it
is appropriate to consider the possibility that antiphotons might not be
identical to photons. First of all, we will look at the experimental evidence
concerning multiple neutral pions and multiple photons. Because of its internal
structure, the neutral kaon is not identical to its antiparticle. We will
consider internal structures for the neutral pion and photon for which the
antiparticle differs from the particle. Interestingly, the antiphoton thus
created from neutrinos does not interact with electrons because its neutrinos
have the wrong helicity.


title: Generalized Relativistic Wave Equations with Intrinsic Maximum Momentum

abstract:
  We examine the nonperturbative effect of maximum momentum on the relativistic
wave equations. In momentum representation, we obtain the exact eigen-energies
and wavefunctions of one-dimensional Klein-Gordon and Dirac equation with
linear confining potentials, and the Dirac oscillator. Bound state solutions
are only possible when the strength of scalar potential are stronger than
vector potential. The energy spectrum of the systems studied are bounded from
above, whereby classical characteristics are observed in the uncertainties of
position and momentum operators. Also, there is a truncation in the maximum
number of bound states that is allowed. Some of these quantum-gravitational
features may have future applications.


title: Ensemble Relational Learning based on Selective Propositionalization

abstract:
  Dealing with structured data needs the use of expressive representation
formalisms that, however, puts the problem to deal with the computational
complexity of the machine learning process. Furthermore, real world domains
require tools able to manage their typical uncertainty. Many statistical
relational learning approaches try to deal with these problems by combining the
construction of relevant relational features with a probabilistic tool. When
the combination is static (static propositionalization), the constructed
features are considered as boolean features and used offline as input to a
statistical learner; while, when the combination is dynamic (dynamic
propositionalization), the feature construction and probabilistic tool are
combined into a single process. In this paper we propose a selective
propositionalization method that search the optimal set of relational features
to be used by a probabilistic learner in order to minimize a loss function. The
new propositionalization approach has been combined with the random subspace
ensemble method. Experiments on real-world datasets shows the validity of the
proposed method.


title: Geometrization of N-Extended 1-Dimensional Supersymmetry Algebras

abstract:
  The problem of classifying off-shell representations of the $N$-extended
one-dimensional super Poincar\'{e} algebra is closely related to the study of a
class of decorated $N$-regular, $N$-edge colored bipartite graphs known as {\em
Adinkras}. In this paper we {\em canonically} realize these graphs as
Grothendieck ``dessins d'enfants,'' or Belyi curves uniformized by certain
normal torsion-free subgroups of the $(N,N,2)$-triangle group. We exhibit an
explicit algebraic model over $\mathbb{Q}(\zeta_{2N})$, as a complete
intersection of quadrics in projective space, and use Galois descent to prove
that the curves are, in fact, definable over $\mathbb{Q}$ itself. The stage is
thereby set for the geometric interpretation of the remaining Adinkra
decorations in Part II.


title:
Formation and propagation of singularities in one-dimensional Chaplygin
  gas

abstract:
  In this paper, we investigate the formation and propagation of singularities
for the system for one-dimensional Chaplygin gas, which is described by a
quasilinear hyperbolic system with linearly degenerate characteristic fields.
The phenomena of concentration and the formation of ``$\delta$-shock'' waves
are identified and analyzed systematically for this system under suitably large
initial data. In contrast to the Rankine-Hogoniot conditions for classical
shock, the generalized Rankine-Hogoniot conditions for ``$\delta$-shock'' waves
are established. Finally, it is shown that the total mass and momentum related
to the solution are independent of time.


title:
Supernova Relic Neutrino Search with Neutron Tagging at
  Super-Kamiokande-IV

abstract:
  A search for Supernova Relic Neutrinos $\bar{\nu}_e$'s is first conducted via
inverse-beta-decay by tagging neutron capture on hydrogen at
Super-Kamiokande-IV. The neutron tagging efficiency is determined to be
$(17.74\pm0.04_{stat.}\pm1.05_{sys.})%$, while the corresponding accidental
background probability is $(1.06\pm0.01_{stat.}\pm 0.18_{sys.})$%. Using 960
days of data, we obtain 13 inverse-beta-decay candidates in the range of
$E_{\bar{\nu}_e}$ between 13.3 MeV and 31.3 MeV. All of the observed candidates
are attributed to background. Upper limits at 90% C.L. are calculated in the
absence of a signal.


title:
An Enriched Constitutive Model for Fracture Propagation Analysis using
  the Material Point Method

abstract:
  We develop a novel constitutive modeling approach for the analysis of
fracture propagation in quasi-brittle materials using the Material Point
Method. The kinematics of constitutive models is enriched with an additional
mode of localized deformation to take into account the strain discontinuity
once cracking has occurred. The crack details therefore can be stored at
material point level and there is no need to enrich the kinematics of finite
elements to capture the localization caused by fracturing processes. This
enhancement also removes the drawback of classical smeared crack approach in
producing unphysical snapping back constitutive responses when the spatial
resolution is not fine enough. All these facilitate the implementation of the
new approach in the Material Point Method for analysis of large scale problems.
Numerical examples of fracture propagation are used to demonstrate the
effectiveness and potentials of the new approach.


title:
Completely linear degeneracy for quasilinear hyperbolic systems in
  several space variables

abstract:
  In this paper, we introduce the concept of completely linear degeneracy for
quasilinear hyperbolic systems in several space variables, and then get an
interesting property for multidimensional hyperbolic conservation laws. Some
examples and applications are given at last.


title:
Excitations of optomechanically driven Bose-Einstein condensates in a
  cavity: photodetection measurements

abstract:
  We present a detailed study to analyse the Dicke quantum phase transition
within the thermodynamic limit for an optomechanically driven Bose-Einstein
condensates in a cavity. The photodetection-based quantum optical measurements
have been performed to study the dynamics and excitations of this
optomechanical Dicke system. For this, we discuss the eigenvalue analysis,
fluorescence spectrum and the homodyne spectrum of the system. It has been
shown that the normal phase is negligibly affected by the mechanical mode of
the mirror while it has a significant effect in the superradiant phase. We have
observed that the eigenvalues and both the spectra exhibit distinct features
that can be identified with the photonic, atomic and phononic branches. In the
fluorescence spectra, we further observe an asymmetric coherent energy exchange
between the three degrees of freedom of the system in the superradiant phase
arising as a result of optomechanical interaction and Bloch-Siegert shift.


title:
A quasilinear differential inclusion for viscous and rate-independent
  damage systems in non-smooth domains

abstract:
  This paper focuses on rate-independent damage in elastic bodies. Since the
driving energy is nonconvex, solutions may have jumps as a function of time,
and in this situation it is known that the classical concept of energetic
solutions for rate-independent systems may fail to accurately describe the
behavior of the system at jumps. Therefore we resort to the (by now
well-established) vanishing viscosity approach to rate-independent modeling,
and approximate the model by its viscous regularization. In fact, the analysis
of the latter PDE system presents remarkable difficulties, due to its highly
nonlinear character. We tackle it by combining a variational approach to a
class of abstract doubly nonlinear evolution equations, with careful regularity
estimates tailored to this specific system, relying on a q-Laplacian type
gradient regularization of the damage variable. Hence for the viscous problem
we conclude the existence of weak solutions, satisfying a suitable
energy-dissipation inequality that is the starting point for the vanishing
viscosity analysis. The latter leads to the notion of (weak) parameterized
solution to our rate-independent system, which encompasses the influence of
viscosity in the description of the jump regime.


title: Combinatorial Applications of the Subspace Theorem

abstract:
  The Subspace Theorem is a powerful tool in number theory. It has appeared in
various forms and been adapted and improved over time. It's applications
include diophantine approximation, results about integral points on algebraic
curves and the construction of transcendental numbers. But its usefulness
extends beyond the realms of number theory. Other applications of the Subspace
Theorem include linear recurrence sequences and finite automata. In fact, these
structures are closely related to each other and the construction of
transcendental numbers.
  The Subspace Theorem also has a number of remarkable combinatorial
applications. The purpose of this paper is to give a survey of some of these
applications including sum-product estimates and bounds on unit distances. The
presentation will be from the point of view of a discrete mathematician. We
will state a number of variants of the Subspace Theorem below but we will not
prove any of them as the proofs are beyond the scope of this work. However we
will give a proof of a simplified special case of the Subspace Theorem which is
still very useful for many problems in discrete mathematics.


title:
One-loop nonbirefringent effects on the electromagnetic vertex in the
  Standard Model Extension

abstract:
  Lorentz violation emerged from a fundamental description of nature may
impact, at low energies, the Maxwell sector, so that contributions from such
new physics to the electromagnetic vertex would be induced. Particularly,
nonbirefringent $CPT$-even effects from the electromagnetic sector modified by
the Lorentz- and $CPT$-violating Standard Model Extension alter the structure
of the free photon propagator. We calculate Lorentz-violating contributions to
the electromagnetic vertex, at the one-loop level, by using a modified photon
propagator carrying this sort of effects. We take the photon off shell, and
find an expression that involves both isotropic and anisotropic effects of
nonbirefringent violation of Lorentz invariance. Our analysis of the one-loop
vertex function includes gauge invariance, transformation properties under $C$,
$P$, and $T$, and tree-level contributions from Lorentz-violating
nonrenormalizable interactions. These elements add to previous studies of the
one-loop contributions to the electromagnetic vertex in the context of Lorentz
violation in the photon sector. Finally, we restrict our analysis to the
isotropic case and derive a finite contribution from isotropic Lorentz
violation to the anomalous magnetic moment of fermions that coincides with the
result already reported in the literature.