title: Generalized twistor spaces for hyperk\"ahler manifolds

abstract:
  Let M be a hyperk\"ahler manifold. The S^2-family of complex structures
compatible with the hyperk\"ahler metric can be assembled into a single complex
structure on Z=MxS^2; the resulting complex manifold is known as the twistor
space of M. We describe the analogous construction for generalized complex
structures in the sense of Hitchin. Specifically, we exhibit a natural
S^2xS^2-family of generalized complex structures compatible with the
hyperk\"ahler metric, and assemble them into a single generalized complex
structure on X=MxS^2xS^2. We call the resulting generalized complex manifold
the generalized twistor space of M.


title:
Hyperinvariant subspaces for some compact perturbations of
  multiplication operators

abstract:
  In this paper, a sufficient condition for the existence of hyperinvariant
subspace of compact perturbations of multiplication operators on some Banach
spaces is presented. An interpretation of this result for compact perturbations
of normal and diagonal operators on Hilbert space is also discussed. An
improvement of a result of [FX12] for compact perturbations of diagonal
operators is also obtained.


title: Amino Acid Distributions and the Effect of Optimal Growth Temperature

abstract:
  We perform an exhaustive analysis of genome statistics for organisms,
particularly extremophiles, growing in a wide range of physicochemical
conditions. Specifically, we demonstrate how the correlation between the
frequency of amino acids and their molecular weight, preserved on average,
typically decreases as optimal growth temperature increases. We show how the
relation between codon degeneracy and amino acid mass is enforced across these
organisms. We assess the occurrence of contiguous amino acids, finding several
significant short words, often containing cysteine, histidine or proline.
Typically, the significance of these words is independent of growth
temperature. In a novel approach, first-passage distributions are used to
capture correlations between discontiguous residues. We find a nearly universal
exponential background that we relate to properties of the aforementioned
individual amino acid frequencies. We find this approach reliably extracts
correlations that depend on growth temperature, some of which have not been
previously characterized.


title: Hamiltonian formulation of the modified Hasegawa Mima equation

abstract:
  We derive the Hamiltonian structure of the modified Hasegawa-Mima equation
from the ion fluid equations applying Dirac's theory of constraints. We discuss
the Casimirs obtained from the corresponding Poisson structure.


title: On Spacelike slant helices in $H_{0}^{2}$ and $S_{1}^{2}$

abstract:
  In this paper, we investigate spacelike slant helix in $H_{0}^{2}$ and
$S_{1}^{2}$ and we obtain parametric equation of spherical slant helix in
$H_{0}^{2}$ and $S_{1}^{2}$. Also related examples and their illustrations are
given.


title:
New Radio Continuum Observations of the Compact Source Projected Inside
  NGC 6334A

abstract:
  A handful of HII regions are known to exhibit a compact radio source near
their centers. The nature of these compact radio sources is not well
established. We present the analysis of new as well as archival Very Large
Array observations of the compact source projected near the center of the NGC
6334A HII region, part of the NGC 6334 complex. We show that the compact source
is time variable on a scale of years and determine for one epoch a non-thermal
spectrum, suggestive of synchrotron emission. We propose that this source could
be the wind interaction region of a massive binary system that could be the
ionizing source of NGC 6334A.


title: Momentum transfers in correlation-assisted tunnelling

abstract:
  We consider correlation-assisted tunnel ionization of a small molecule by an
intense low-frequency laser pulse. In this mechanism, the departing electron
excites the state of the ion via a Coulomb interaction. We show that the
angular distribution for this process has significant qualitative differences
compared to direct tunnelling of an electron from a deeper orbital. These
differences could be used to distinguish the two contributions, and give rise
to interference effects when the contributions are comparable. The saddle-point
approximation is also shown to require special attention in this geometric
analysis.


title: On the moment system and a flexible Prandtl number

abstract:
  The Maxwell-Boltzmann moment system can be seen as a particular case of a
mathematically more general moment system proposed by Machado in Ref [1]. This
last moment system, whose integral generating form and a suggested continuous
distribution are presented here, is used in this letter to theoretically show
(one of) its usefulness: A flexible Prandtl number can be obtained in both the
Boltzmann equation and in the lattice Boltzmann equation with a conventional
single relaxation time Bhatnagar-Gross-Krook collision model.


title:
Log-space counter is useful for unary languages by help of a
  constant-size quantum register

abstract:
  The minimum amount of resources to recognize a nonregular language is a
fundamental research topic in theoretical computer science which has been
examined for different kinds of resources and many different models. In this
note, we focus on unary languages and space complexity on counters. Our model
is two-way one-counter automaton with quantum and classical states (2QCCA),
which is a two-way finite automaton with one-counter (2DCA) augmented with a
fixed size quantum register or a two-way finite automaton with quantum and
classical states (2QCFA) augmented with a classical counter. It is known that
any 2DCA using a sublinear space on its counter can recognize only regular
languages \cite{DG82B}. In this note, we show that bounded-error 2QCCAs can
recognize a non-regular unary language by using logarithmic space on its
counters for the members. Note that it is still an open problem whether
bounded-error 2QCFA can recognize a non-regular unary language.


title: A scan of f(R) models admitting Rindler type acceleration

abstract:
  As a manifestation of large distance effect Grumiller modified Schwarzschild
metric with an extraneous term reminiscent of Rindler acceleration. Such a term
has the potential to explain the observed flat rotation curves in general
relativity. The same idea has been extended herein to the larger arena of
$f\left( R\right) $ theory. With particular emphasis on weak energy conditions
(WECs) for a fluid we present various classes of $f\left( R\right) $ theories
admitting a Rindler-type acceleration in the metric.


title:
Aspects of Localization across the 2D Superconductor-Insulator
  Transition

abstract:
  It is well known that the metal-insulator transition in two dimensions for
non-interacting fermions takes place at infinitesimal disorder. In contrast,
the superconductor-to-insulator transition takes place at a finite critical
disorder (on the order of V_c ~ 2t), where V is the typical width of the
distribution of random site energies and t is the hopping scale. In this
article we compare the localization/delocalization properties of one and two
particles. Whereas the metal-insulator transition is a consequence of
single-particle Anderson localization, the superconductor-insulator transition
(SIT) is due to pair localization - or, alternatively, fluctuations of the
phase conjugate to pair density. The central question we address is how
superconductivity emerges from localized single-particle states. We address
this question using inhomogeneous mean field theory and quantum Monte Carlo
techniques and make several testable predictions for local spectroscopic probes
across the SIT. We show that with increasing disorder, the system forms
superconducting blobs on the scale of the coherence length embedded in an
insulating matrix. In the superconducting state, the phases on the different
blobs are coherent across the system whereas in the insulator long-range phase
coherence is disrupted by quantum fluctuations. As a consequence of this
emergent granularity, we show that the single-particle energy gap in the
density of states survives across the transition, but coherence peaks exist
only in the superconductor. A characteristic pseudogap persists above the
critical disorder and critical temperature, in contrast to conventional
theories. Surprisingly, the insulator has a two-particle gap scale that
vanishes at the SIT despite a robust single-particle gap.


title: Cloistered Baryogenesis

abstract:
  The cosmological matter-antimatter asymmetry can arise from the baryon number
conserving CP asymmetry in two body decays of heavy particles, when the two
final states carry equal and opposite baryon number, and one couples directly
or indirectly to electroweak sphalerons so that its baryon asymmetry gets
partly reprocessed into a lepton asymmetry, while the other remains chemically
decoupled from the thermal bath with its baryon content frozen. After sphaleron
switchoff the decay of the decoupled particles inject in the thermal plasma an
unbalanced baryon asymmetry, giving rise to baryogenesis. We highlight the
features of this mechanism in a type-I seesaw model extended by adding a new
colored scalar coupled to the heavy Majorana neutrinos. If the colored scalar
has an O(TeV) mass, it would leave at the LHC a characteristic signature
throughout all layers of the detectors.


title: Constraining the primordial power spectrum from SNIa lensing dispersion

abstract:
  The (absence of detecting) lensing dispersion of Supernovae type Ia (SNIa)
can be used as a novel and extremely efficient probe of cosmology. In this
preliminary example we analyze its consequences for the primordial power
spectrum. The main setback is the knowledge of the power spectrum in the
non-linear regime, 1 Mpc^{-1} < k < 10^2-10^3 Mpc^{-1} up to redshift of about
unity. By using the lensing dispersion and conservative estimates in this
regime of wavenumbers, we show how the current upper bound sigma_mu(z=1) <
0.12on existing data gives strong indirect constraints on the primordial power
spectrum. The probe extends our handle on the spectrum to a total of 12-15
inflation e-folds. These constraints are so strong that they are already ruling
out a large portion of the parameter space allowed by PLANCK for running alpha
= d n_s / d ln k and running of running beta = d^2 n_s / d ln k^2. The bounds
follow a linear relation to a very good accuracy. A conservative bound
disfavors any enhancement above the line beta(k_0)=0.036-0.42 alpha(k_0) and a
realistic estimate disfavors any enhancement above the line
beta(k_0)=0.022-0.44 alpha(k_0).


title: Jets, black holes and disks in blazars

abstract:
  The Fermi and Swift satellites, together with ground based Cherenkov
telescopes, has greatly improved our knowledge of blazars, namely Flat Spectrum
Radio Quasars and BL Lac objects, since all but the most powerful emit most of
their electro-magnetic output at gamma-ray energies, while the very powerful
blazars emit mostly in the hard X-ray region of the spectrum. Often they show
coordinated variability at different frequencies, suggesting that in these
cases the same population of electrons is at work, in a single zone of the jet.
The location of this region along the jet is a matter of debate. The jet power
correlates with the mass accretion rate, with jets existing at all values of
disk luminosities, measured in Eddington units, sampled so far. The most
powerful blazars show clear evidence of the emission from their disks, and this
has revived methods of finding the black hole mass and accretion rate by
modelling a disk spectrum to the data. Being so luminous, blazars can be
detected also at very high redshift, and therefore are a useful tool to explore
the far universe. One interesting line of research concerns how heavy are their
black holes at high redshifts. If we associate the presence of a relativistic
jet with a fastly spinning black hole, then we naively expect that the
accretion efficiency is larger than for non-spinning holes. As a consequence,
the black hole mass in jetted systems should grow at a slower rate. In turn,
this would imply that, at high redshifts, the heaviest black holes should be in
radio-quiet quasars. We instead have evidences of the opposite, challenging our
simple ideas of how a black hole grows.


title: Wavelength-dependent UV photodesorption of pure N2 and O2 ices

abstract:
  Ultraviolet photodesorption of molecules from icy interstellar grains can
explain observations of cold gas in regions where thermal desorption is
negligible. This non-thermal desorption mechanism should be especially
important where UV fluxes are high. N2 and O2 are expected to play key roles in
astrochemical reaction networks, both in the solid state and in the gas phase.
Measurements of the wavelength-dependent photodesorption rates of these two
infrared-inactive molecules provide astronomical and physical-chemical insights
into the conditions required for their photodesorption. Tunable radiation from
the DESIRS beamline at the SOLEIL synchrotron in the astrophysically relevant 7
to 13.6 eV range is used to irradiate pure N2 and O2 thin ice films.
Photodesorption of molecules is monitored through quadrupole mass spectrometry.
Absolute rates are calculated by using the well-calibrated CO photodesorption
rates. Strategic N2 and O2 isotopolog mixtures are used to investigate the
importance of dissociation upon irradiation. N2 photodesorption mainly occurs
through excitation of the b^1Pi_u state and subsequent desorption of surface
molecules. The observed vibronic structure in the N2 photodesorption spectrum,
together with the absence of N3 formation, supports that the photodesorption
mechanism of N2 is similar to CO, i.e., an indirect DIET (Desorption Induced by
Electronic Transition) process without dissociation of the desorbing molecule.
In contrast, O2 photodesorption in the 7 - 13.6 eV range occurs through
dissociation and presents no vibrational structure. Photodesorption rates of N2
and O2 integrated over the far-UV field from various star-forming environments
are lower than for CO. Rates vary between 10E-3 and 10E-2 photodesorbed
molecules per incoming photon.


title:
The FMOS-COSMOS survey of star-forming galaxies at z ~ 1.6. I. H\alpha
  -based star formation rates and dust extinction

abstract:
  We present the first results from a near-IR spectroscopic survey of the
COSMOS field, using the Fiber Multi-Object Spectrograph on the Subaru
telescope, designed to characterize the star-forming galaxy population at
$1.4<z<1.7$. The high-resolution mode is implemented to detect H$\alpha$ in
emission between $1.6{\rm -}1.8 \mathrm{\mu m}$ with $f_{\rm
H\alpha}\gtrsim4\times10^{-17}$ erg cm$^{-2}$ s$^{-1}$. Here, we specifically
focus on 271 sBzK-selected galaxies that yield a H$\alpha$ detection thus
providing a redshift and emission line luminosity to establish the relation
between star formation rate and stellar mass. With further $J$-band
spectroscopy for 89 of these, the level of dust extinction is assessed by
measuring the Balmer decrement using co-added spectra. We find that the
extinction ($0.6\lesssim A_\mathrm{H\alpha} \lesssim 2.5$) rises with stellar
mass and is elevated at high masses compared to low-redshift galaxies. Using
this subset of the spectroscopic sample, we further find that the differential
extinction between stellar and nebular emission
\hbox{$E_\mathrm{star}(B-V)/E_\mathrm{neb}(B-V)$} is 0.7--0.8, dissimilar to
that typically seen at low redshift. After correcting for extinction, we derive
an H$\alpha$-based main sequence with a slope ($0.81\pm0.04$) and normalization
similar to previous studies at these redshifts.


title:
An M-Theoretic Derivation of a 5d and 6d AGT Correspondence, and
  Relativistic and Elliptized Integrable Systems

abstract:
  We generalize our analysis in [arXiv:1301.1977], and show that a 5d and 6d
AGT correspondence for SU(N) -- which essentially relates the relevant 5d and
6d Nekrasov instanton partition functions to the integrable representations of
a q-deformed and elliptic affine W_N-algebra -- can be derived, purely
physically, from the principle that the spacetime BPS spectra of string-dual
M-theory compactifications ought to be equivalent. Via an appropriate defect,
we also derive a "fully-ramified" version of the 5d and 6d AGT correspondence
where integrable representations of a quantum and elliptic affine SU(N)-algebra
at the critical level appear on the 2d side, and argue that the relevant
"fully-ramified" 5d and 6d Nekrasov instanton partition functions are
simultaneous eigenfunctions of commuting operators which define relativistic
and elliptized integrable systems. As an offshoot, we also obtain various
mathematically novel and interesting relations involving the double loop
algebra of SU(N), elliptic Macdonald operators, equivariant elliptic genus of
instanton moduli space, and more.


title: Using Energy Peaks to Measure New Particle Masses

abstract:
  We discussed in arXiv:1209.0772 that the laboratory frame distribution of the
energy of a massless particle from a two-body decay at a hadron collider has a
peak whose location is identical to the value of this daughter's (fixed) energy
in the rest frame of the corresponding mother particle. For that result to hold
we assumed that the mother is unpolarized and has a generic boost distribution
in the laboratory frame. In this work we discuss how this observation can be
applied for determination of masses of new particles, without requiring a full
reconstruction of their decay chains or information about the rest of the
event. We focus on a two-step cascade decay of a massive particle that has one
invisible particle in the final state: C -> Bb -> Aab, where C, B and A are new
particles of which A is invisible and a, b are visible particles. Combining the
measurements of the peaks of energy distributions of a and b with that of the
edge in their invariant mass distribution, we demonstrate that it is in
principle possible to determine separately all three masses of the new
particles, in particular, without using any measurement of missing transverse
momentum. Furthermore, we show how the use of the peaks in an inclusive energy
distribution is generically less affected by combinatorial issues as compared
to other mass measurement strategies. For some simplified, yet interesting,
scenarios we find that these combinatorial issues are absent altogether. As an
example of this general strategy, we study SUSY models where gluino decays to
an invisible lightest neutralino via an on-shell bottom squark. Taking into
account the dominant backgrounds, we show how the mass of the bottom squark,
the gluino and (for some class of spectra) that of the neutralino can be
determined using this technique.


title: Jet Cleansing: Pileup Removal at High Luminosity

abstract:
  One of the greatest impediments to extracting useful information from high
luminosity hadron-collider data is radiation from secondary collisions (i.e.
pileup) which can overlap with that of the primary interaction. In this paper
we introduce a simple jet-substructure technique termed cleansing which can
consistently correct for large amounts of pileup in an observable independent
way. Cleansing works at the subjet level, combining tracker and
calorimeter-based data to reconstruct the pileup-free primary interaction. The
technique can be used on its own, with various degrees of sophistication, or in
concert with jet grooming. We apply cleansing to both kinematic and jet shape
reconstruction, finding in all cases a marked improvement over previous methods
both in the correlation of the cleansed data with uncontaminated results and in
measures like S/rt(B). Cleansing should improve the sensitivity of new-physics
searches at high luminosity and could also aid in the comparison of precision
QCD calculations to collider data.


title: Inflationary Instabilities of Einstein-Aether Cosmology

abstract:
  We examine the consequences of Lorentz violation during slow-roll inflation.
We consider a canonical scalar inflaton coupled, through its potential, to the
divergence of a fixed-norm timelike vector field, or "aether." The vector is
described by Einstein-aether theory, a vector-tensor model of gravitational
Lorentz violation. We derive and analyze the cosmological perturbation
equations for the metric, inflaton, and aether. If the scale of Lorentz
violation is sufficiently small compared to the Planck mass, and the strength
of the scalar-aether coupling is suitably large, then the spin-0 and spin-1
perturbations grow exponentially and spoil the inflationary background. The
effects of such a coupling on the CMB are too small to be visible to current or
near-future CMB experiments; unusually, no isocurvature modes are produced at
first order in a perturbative expansion around the aether norm. These results
are discussed for both a general potential and a worked example, $m^2 \phi^2$
inflation with a quadratic scalar-aether coupling term.


title: Precise Measurement of Laser Power using an Optomechanical System

abstract:
  This paper shows a novel method to precisely measure the laser power using an
optomechanical system. By measuring a mirror displacement caused by the
reflection of an amplitude modulated laser beam, the number of photons in the
incident continuous-wave laser can be precisely measured. We have demonstrated
this principle by means of a prototype experiment uses a suspended 25 mg mirror
as an mechanical oscillator coupled with the radiation pressure and a Michelson
interferometer as the displacement sensor. A measurement of the laser power
with an uncertainty of less than one percent (1 sigma) is achievable.


title:
Prospects for Detecting Gamma Rays from Annihilating Dark Matter in
  Dwarf Galaxies in the Era of DES and LSST

abstract:
  Among the most stringent constraints on the dark matter annihilation cross
section are those derived from observations of dwarf galaxies by the Fermi
Gamma-Ray Space Telescope. As current (e.g., Dark Energy Survey, DES) and
future (Large Synoptic Survey Telescope, LSST) optical imaging surveys discover
more of the Milky Way's ultra-faint satellite galaxies, they may increase
Fermi's sensitivity to dark matter annihilations. In this study, we use a
semi-analytic model of the Milky Way's satellite population to predict the
characteristics of the dwarfs likely to be discovered by DES and LSST, and
project how these discoveries will impact Fermi's sensitivity to dark matter.
While we find that modest improvements are likely, the dwarf galaxies
discovered by DES and LSST are unlikely to increase Fermi's sensitivity by more
than a factor of ~2-4. However, this outlook may be conservative, given that
our model underpredicts the number of ultra-faint galaxies with large potential
annihilation signals actually discovered in the Sloan Digital Sky Survey. Our
simulation-based approach focusing on the Milky Way satellite population
demographics complements existing empirically-based estimates.

categories: astro-ph.HE astro-ph.CO astro-ph.GA hep-ph


title:
The truncated and evolving inner accretion disc of the black hole GX
  339-4

abstract:
  The nature of accretion onto stellar mass black holes in the low/hard state
remains unresolved, with some evidence suggesting that the inner accretion disc
is truncated and replaced by a hot flow. However, the detection of relativistic
broadened Fe emission lines, even at relatively low luminosities, seems to
require an accretion disc extending fully to its innermost stable circular
orbit. Modelling such features is however highly susceptible to degeneracies,
which could easily bias any interpretation. We present the first systematic
study of the Fe line region to track how the inner accretion disc evolves in
the low/hard state of the black hole GX 339$-$4. Our four observations display
increased broadening of the Fe line over two magnitudes in luminosity, which we
use to track any variation of the disc inner radius. We find that the disc
extends closer to the black hole at higher luminosities, but is consistent with
being truncated throughout the entire low/hard state, a result which renders
black hole spin estimates inaccurate at these stages of the outburst.
Furthermore, we show that the evolution of our spectral inner disc radius
estimates corresponds very closely to the trend of the break frequency in
Fourier power spectra, supporting the interpretation of a truncated and
evolving disc in the hard state.


title:
Can non-local or higher derivative theories provide alternatives to
  inflation?

abstract:
  The standard mechanism for producing the observed scale-invariant power
spectrum from adiabatic vacuum fluctuations relies on first order derivative of
fields in the action for curvature perturbations. It has been proven
\cite{Geshnizjani:2011dk} that, under this ansatz, any theory of early universe
that matches cosmological observations should include a phase of accelerated
expansion (i.e. inflation) or it has to break at least one of the following
tenets of classical general relativity: Null Energy Conditions (NEC),
subluminal signal propagation, or sub-Planckian energy densities. We extend
this proof to a large class of theories with higher (spatial) derivative or
non-local terms in the action. Interestingly, only theories in the neighborhood
of Lifshitz points with $\omega_k \propto k^0$ and $k^3$ remain viable.


title: Squeezing of mechanical motion via qubit-assisted control

abstract:
  We propose a feedback control mechanism for the squeezing of the phononic
mode of a mechanical oscillator. We show how, under appropriate working
conditions, a simple adiabatic approach is able to induce mechanical squeezing.
We then go beyond the limitations of such a working point and demonstrate the
stationary squeezing induced by using repeated measurements and
re-initialisation of the state of a two-level system ancilla coupled to the
oscillator. Our non-adaptive feedback loop offers interesting possibilities for
quantum state engineering and steering in open-system scenarios.


title: CMB polarization TE power spectrum estimation with non-circular beam

abstract:
  Precise measurements of the Cosmic Microwave Background (CMB) anisotropy have
been one of the foremost concerns in modern cosmology as it provides valuable
information on the cosmology of the universe. However, an accurate estimation
of the CMB power spectrum faces many challenges as the CMB experiments
sensitivity increases. Furthermore, for polarization experiments the precision
of measurement is complicated by the fact that the polarisation signal is very
faint compared to the measured total intensity, and could be impossible to
detect in the presence of high level of systematics. One of the most important
source of errors in CMB polarization experiment is the beam asymmetry. For
large data set the estimation of the CMB polarization power spectrum with
standard optimal Maximum Likelihood (ML) is prohibitive for high resolution CMB
experiments due to the enormous required computation time. In this paper, we
present a semi-analytical framework using the pseudo-$C_{l}$ estimator to
compute the power spectrum TE of the temperature anisotropy and the E-component
of the polarization radiation field using non-circular beams. We adopt a model
of beams obtained from a perturbative expansion of the beam around a circular
(axisymmetric) one in harmonic space, and compute the resulting bias matrix
which relates the true power spectrum with the observed one using an efficient
algorithm for rapid computation. We show that for a multipole up to
$l_{max}=500$, the bias matrix can be computed in less than one second with a
single CPU processor at 2.53 GHz. We find that the uncertainties induced by the
beam asymmetry in the polarization power spectrum at the peak of the bias
matrix for WMAP and Planck experiments can be as large as a few 10 to 20%
(upper limit for Planck LFI 30 GHz)


title:
Simulation of homologous and cannibalistic Coronal Mass Ejections
  produced by the emergence of a twisted flux rope into the Solar Corona

abstract:
  We report the first results of a magnetohydrodynamic (MHD) simulation of the
development of a homologous sequence of three coronal mass ejections (CMEs) and
demonstrate their so-called cannibalistic behavior. These CMEs originate from
the repeated formations and partial eruptions of kink unstable flux ropes as a
result of continued emergence of a twisted flux rope across the lower boundary
into a pre-existing coronal potential arcade field. The simulation shows that a
CME erupting into the open magnetic field created by a preceding CME has a
higher speed. The second of the three successive CMEs simulated is
cannibalistic catching up and merging with the first into a single fast CME
before exiting the domain. All the CMEs including the leading merged CME,
attained speeds of about 1000 km/s as they exit the domain. The reformation of
a twisted flux rope after each CME eruption during the sustained flux emergence
can naturally explain the X-ray observations of repeated reformations of
sigmoids and "sigmoid-under-cusp" configurations at a low-coronal source of
homologous CMEs.


title:
Simplicity criterion for $C^*$-algebras associated with topological
  group quivers

abstract:
  Topological quivers generalize the notion of directed graphs in which the
sets of vertices and edges are locally compact (second countable) Hausdorff
spaces. Associated to a topological quiver $Q$ is a $C^*$-correspondence, and
in turn, a Cuntz-Pimsner algebra $C^*(Q).$ Given $\Gamma$ a locally compact
group and $\alpha$ and $\beta$ endomorphisms on $\Gamma,$ one may construct a
topological quiver $Q_{\alpha,\beta}(\Gamma)$ with vertex set $\Gamma,$ and
edge set $\Omega_{\alpha,\beta}(\Gamma)= \{(x,y)\in\Gamma\times\Gamma\|
\alpha(y)=\beta(x)\}.$ In \cite{Mc1}, the author examined the Cuntz-Pimsner
algebra $\cal{O}_{\alpha,\beta}(\Gamma):=C^*(Q_{\alpha,\beta}(\Gamma))$ and
found generators (and their relations) of $\cal{O}_{\alpha,\beta}(\Gamma).$ In
this paper, the author translates a known criterion for simplicity of
topological quivers into a precise criterion for the simplicity of topological
group relations.


title: ORIGAMI: Delineating Cosmic Structures with Phase-Space Folds

abstract:
  Structures like galaxies and filaments of galaxies in the Universe come about
from the origami-like folding of an initially flat three-dimensional manifold
in 6D phase space. The ORIGAMI method identifies these structures in a
cosmological simulation, delineating the structures according to their outer
folds. Structure identification is a crucial step in comparing cosmological
simulations to observed maps of the Universe. The ORIGAMI definition is
objective, dynamical and geometric: filament, wall and void particles are
classified according to the number of orthogonal axes along which dark-matter
streams have crossed. Here, we briefly review these ideas, and speculate on how
ORIGAMI might be useful to find cosmic voids.


title:
Mid-Infrared Atomic Fine-Structure Emission Line Spectra of Luminous
  Infrared Galaxies: Spitzer/IRS Spectra of the GOALS Sample

abstract:
  We present the data and our analysis of MIR fine-structure emission lines
detected in Spitzer/IRS high-res spectra of 202 local LIRGs observed as part of
the GOALS project. We detect emission lines of [SIV], [NeII], [NeV], [NeIII],
[SIII]18.7, [OIV], [FeII], [SIII]33.5, and [SiII]. Over 75% of our galaxies are
classified as starburst (SB) sources in the MIR. We compare ratios of the
emission line fluxes to stellar photo- and shock-ionization models to constrain
the gas properties in the SB nuclei. Comparing the [SIV]/[NeII] and
[NeIII]/[NeII] ratios to the Starburst99-Mappings III models with an
instantaneous burst history, the line ratios suggest that the SB in our LIRGs
have ages of 1-4.5Myr, metallicities of 1-2Z_sun, and ionization parameters of
2-8e7cm/s. Based on the [SIII]/[SIII] ratios, the electron density in LIRG
nuclei has a median electron density of ~300cm-3 for sources above the low
density limit. We also find that strong shocks are likely present in 10 SB
sources. A significant fraction of the GOALS sources have resolved neon lines
and 5 show velocity differences of >200km/s in [NeIII] or [NeV] relative to
[NeII]. Furthermore, 6 SB and 5 AGN LIRGs show a trend of increasing line width
with ionization potential, suggesting the possibility of a compact energy
source and stratified ISM in their nuclei. We confirm a strong correlation
between the [NeII]+[NeIII] emission, as well as [SIII]33.5, with both the IR
luminosity and the 24um warm dust emission measured from the spectra. Finally,
we find no correlation between the hardness of the radiation field or the line
width and the ratio of the total IR to 8um emission (IR8). This may be because
the IR luminosity and the MIR fine-structure lines are sensitive to different
timescales over the SB, or that IR8 is more sensitive to the geometry of the
warm dust region than the radiation field producing the HII region emission.


title:
From Newton's Universal Gravitation to Einstein's Geometric Theory of
  Gravity

abstract:
  Starting with Newton's law of universal gravitation, we generalize it
step-by-step to obtain Einstein's geometric theory of gravity. Newton's
gravitational potential satisfies the Poisson equation. We relate the potential
to a component of the metric tensor by equating the nonrelativistic result of
the principle of stationary proper time to the Lagrangian for a classical
gravitational field. In the Poisson equation the Laplacian of the component of
the metric tensor is generalized to a cyclic linear combination of the second
derivatives of the metric tensor. In local coordinates it is a single component
of the Ricci tensor. This component of the Ricci tensor is proportional to the
mass density that is related to a single component of the energy-momentum
stress tensor and its trace. We thus obtain a single component of Einstein's
gravitational field equation in local coordinates. From the principle of
general covariance applied to a single component, we obtain all tensor
components of Einstein's gravitational field equation.


title:
Field localization and mass generation in an alternative 5-dimensional
  brane model

abstract:
  This proceedings is based on a talk given at the APS DPF 2013 on an
alternative 5-dimensional brane world model which is related to but has some
physically distinct features from the Randall-Sundrum brane world model. The
spin dependent localization of 5D fields for the alternative model are
different and in some ways superior to the original Randall- Sundrum Model. The
alternative model also exhibits a cutoff in the lo-calization of massive scalar
fields not seen in the Randall-Sundrum and includes a self consistent mass
prediction of two possible scalar bosons. Setting the warping factor in the new
model consistent with a 126 GeV localized scalar boson predicts the existence
of a second scalar boson at 177 GeV. This second scalar boson could be
localized or non localized depending on the type of warping factor.


title: Generation of solutions of the Hamilton-Jacobi equation

abstract:
  It is shown that any function $G(q_{i}, p_{i}, t)$, defined on the extended
phase space, defines a one-parameter group of canonical transformations which
act on any function $f(q_{i}, t)$, in such a way that if $G$ is a constant of
motion then from a solution of the Hamilton-Jacobi (HJ) equation one obtains a
one-parameter family of solutions of the same HJ equation. It is also shown
that any complete solution of the HJ equation can be obtained in this manner by
means of the transformations generated by $n$ constants of motion in
involution.


title: Feedback in a cavity QED system for control of quantum beats

abstract:
  Conditional measurements on the undriven mode of a two-mode cavity QED system
prepare a coherent superposition of ground states which generate quantum beats.
The continuous system drive induces decoherence through the phase interruptions
from Rayleigh scattering, which manifests as a decrease of the beat amplitude
and an increase of the frequency of oscillation. We report recent experiments
that implement a simple feedback mechanism to protect the quantum beat. We
continuously drive the system until a photon is detected, heralding the
presence of a coherent superposition. We then turn off the drive and let the
superposition evolve in the dark, protecting it against decoherence. At a later
time we reinstate the drive to measure the amplitude, phase, and frequency of
the beats. The amplitude can increase by more than fifty percent, while the
frequency is unchanged by the feedback.


title:
Resonant Interactions Along the Critical Line of the Riemann Zeta
  Function

abstract:
  We have studied some properties of the special Gram points of the Riemann
zeta function which lie on contour lines ${\bf Im}(\zeta ( s )) = 0$ which do
not contain zeroes of $\zeta ( s )$. We find that certain functions of these
points, which all lie on the critical line ${\bf Re}( s ) = 1/2$, are
correlated in remarkable and unexpected ways. We have data up to a height of $t
= 10^4$, where $s = \sigma + it$.


title: Ultrabroad-Band, Greatly Enhanced Light Absorption by Monolayer Graphene

abstract:
  We demonstrate greatly enhanced light absorption by monolayer graphene over a
broad spectral range, from visible to near infrared, based on the attenuated
total reflection. In the experiment, graphene is sandwiched between two
dielectric media referred as superstrate and substrate. Based on numerical
calculation and experimental results, the closer the refractive indices of the
superstrate and the substrate, the higher the absorption of graphene will be.
The light absorption of monolayer graphene up to 42.7% is experimentally
achieved.


title:
Immersions and translation structures I: The space of structures on the
  pointed disk

abstract:
  We define a moduli space of translation structures on the open topological
disk with a basepoint and endow it with a locally-compact metrizable topology.
We call this the immersive topology, because it is defined using the concept of
immersions: continuous maps between subsets of translation surfaces that
respect the basepoints and the translation structures. Immersions induce a
partial ordering on the moduli space, and we prove the ordering is nearly a
complete lattice in the sense of order theory: The space is only missing a
minimal element. Subsequent articles will uncover more structure and develop a
topology on the space of all translation structures.


title: Bayesian Degree-Corrected Stochastic Blockmodels for Community Detection

abstract:
  Community detection in networks has drawn much attention in diverse fields,
especially social sciences. Given its significance, there has been a large body
of literature with approaches from many fields. Here we present a statistical
framework that is representative, extensible, and that yields an estimator with
good properties. Our proposed approach considers a stochastic blockmodel based
on a logistic regression formulation with node correction terms. We follow a
Bayesian approach that explicitly captures the community behavior via prior
specification. We further adopt a data augmentation strategy with latent
Polya-Gamma variables to obtain posterior samples. We conduct inference based
on a principled, canonically mapped centroid estimator that formally addresses
label non-identifiability and captures representative community assignments. We
demonstrate the proposed model and estimation on real-world as well as
simulated benchmark networks and show that the proposed model and estimator are
more flexible, representative, and yield smaller error rates when compared to
the MAP estimator from classical degree-corrected stochastic blockmodels.


title: Trace formulas for tuples of commuting contractions

abstract:
  This paper extends the trace formulas of [5] with perturbations in normed
ideals of $B(H)$ to multivariate functions of commuting contractions admitting
a dilation to commuting normal contractions.


title: A characterization of the mixed discriminant

abstract:
  We characterize the mixed discriminant of positive semi definite matrices
using its most basic properties. As a corollary we establish its minimality
among non negative and multi additive functionals.


title: Cutting sequences on translation surfaces

abstract:
  We analyze the cutting sequences associated to geodesic flow on a large class
of translation surfaces, including Bouw-Moller surfaces. We give a
combinatorial rule that relates a cutting sequence corresponding to a given
trajectory, to the cutting sequence corresponding to the image of that
trajectory under the parabolic element of the Veech group. This extends
previous work for regular polygon surfaces to a larger class of translation
surfaces. We find that the combinatorial rule is the same as for regular
polygon surfaces in about half of the cases, and different in the other half.


title: Weighted Bergman kernel functions associated to meromorphic functions

abstract:
  We present a technique for computing explicit, concrete formulas for the
weighted Bergman kernel on a planar domain with weight the modulus squared of a
meromorphic function in the case that the meromorphic function has a finite
number of zeros on the domain and a concrete formula for the unweighted kernel
is known. We apply this theory to the study of the Lu Qi-keng Problem.


title:
Brownian particles on rough substrates: Relation between the
  intermediate subdiffusion and the asymptotic long-time diffusion

abstract:
  Brownian particles in random potentials show an extended regime of
subdiffusive dynamics at intermediate times. The asymptotic diffusive behavior
is often established at very long times and thus cannot be accessed in
experiments or simulations. For the case of one-dimensional random potentials
with Gaussian distributed energies, we present a detailed analysis of
experimental and simulation data. It is shown that the asymptotic long-time
diffusion coefficient can be related to the behavior at intermediate times,
namely the minimum of the exponent that characterizes subdiffusion and hence
corresponds to the maximum degree of subdiffusion. As a consequence,
investigating only the dynamics at intermediate times is sufficient to predict
the order of magnitude of the long-time diffusion coefficient and the timescale
at which the crossover from subdiffusion to diffusion occurs, i.e. when the
long-time diffusive regime and hence thermal equilibrium is established.


title:
Equivalence Classes of Permutations Modulo Replacements Between 123 and
  Two-Integer Patterns

abstract:
  We explore a new type of replacement of patterns in permutations, suggested
by James Propp, that does not preserve the length of permutations. In
particular, we focus on replacements between 123 and a pattern of two integer
elements. We apply these replacements in the classical sense; that is, the
elements being replaced need not be adjacent in position or value. Given each
replacement, the set of all permutations is partitioned into equivalence
classes consisting of permutations reachable from one another through a series
of bi-directional replacements. We break the eighteen replacements of interest
into four categories by the structure of their classes and fully characterize
all of their classes.


title: The Kauffman bracket ideal for genus-1 tangles

abstract:
  Given a compact oriented 3-manifold M in S^3 with boundary, an (M,2n)-tangle
T is a 1-manifold with 2n boundary components properly embedded in M. We say
that T embeds in a link L in S^3 if T can be completed to L by a 1-manifold
with 2n boundary components exterior to M. The link L is called a closure of T.
We define the Kauffman bracket ideal of T to be the ideal I_T generated by the
reduced Kauffman bracket polynomials of all closures of T. If this ideal is
non-trivial, then T does not embed in the unknot. We give an algorithm for
computing a finite list of generators for the Kauffman bracket ideal of any
(S^1 x D^2, 2)-tangle, also called a genus-1 tangle, and give an example of a
genus-1 tangle with non-trivial Kauffman bracket ideal. Furthermore, we show
that if a single-component genus-1 tangle S can be obtained as the partial
closure of a (B^3, 4)-tangle T, then I_T = I_S.


title:
Cooling of a Nanomechanical Resonator in the Presence of a Single
  Diatomic Molecule

abstract:
  We propose a theoretical scheme for coupling a nanomechanical resonator to a
single diatomic molecule via microwave cavity mode of a driven LC resonator. We
describe the diatomic molecule by a Morse potential and find the corresponding
equations of motion of the hybrid system by using Fokker-Planck formalism.
Analytical expressions for the effective frequency and the effective damping of
the nanomechanical resonator are obtained. We analyze the ground state cooling
of the nanomechanical resonator in presence of the diatomic molecule. The
results confirm that presence of the molecule improves the cooling process of
the mechanical resonator. Finally, the effect of molecule's parameters on the
cooling mechanism is studied.


title:
Accuracy of generalized gradient approximation functionals for density
  functional perturbation theory calculations

abstract:
  We assess the validity of various exchange-correlation functionals for
computing the structural, vibrational, dielectric, and thermodynamical
properties of materials in the framework of density-functional perturbation
theory (DFPT). We consider five generalized-gradient approximation (GGA)
functionals (PBE, PBEsol, WC, AM05, and HTBS) as well as the local density
approximation (LDA) functional. We investigate a wide variety of materials
including a semiconductor (silicon), a metal (copper), and various insulators
(SiO$_2$ $\alpha$-quartz and stishovite, ZrSiO$_4$ zircon, and MgO periclase).
For the structural properties, we find that PBEsol and WC are the closest to
the experiments and AM05 performs only slightly worse. All three functionals
actually improve over LDA and PBE in contrast with HTBS, which is shown to fail
dramatically for $\alpha$-quartz. For the vibrational and thermodynamical
properties, LDA performs surprisingly very good. In the majority of the test
cases, it outperforms PBE significantly and also the WC, PBEsol and AM05
functionals though by a smaller margin (and to the detriment of structural
parameters). On the other hand, HTBS performs also poorly for vibrational
quantities. For the dielectric properties, none of the functionals can be put
forward. They all (i) fail to reproduce the electronic dielectric constant due
to the well-known band gap problem and (ii) tend to overestimate the oscillator
strengths (and hence the static dielectric constant).


title: Flavour-violation in two-Higgs-doublet models

abstract:
  In these proceedings we review the flavour phenomenology of 2HDMs with
generic Yukawa structures. We first consider the quark sector and find that
despite the stringent constraints from FCNC processes large effects in tauonic
B decays are still possible. We then consider lepton flavour observables, show
correlations between \mu -> e\gamma and \mu^- -> e^-e^+e^- in the 2HDM of type
III and give upper bounds on the lepton flavour violating B decay B_d -> \mu e.


title: Normal 0-1 polytopes

abstract:
  We study the question of when 0-1 polytopes are normal or, equivalently,
having the integer decomposition property. In particular, we shall associate to
each 0-1 polytope a labeled hypergraph, and examine the equality between its
Ehrhart and polytopal rings via the combinatorial structures of the labeled
hypergraph.


title:
Exposure of Nuclear Track Emulsion to He-8 Nuclei at the ACCULINNA
  Separator

abstract:
  Nuclear track emulsion is exposed to a beam of radioactive $^8$He nuclei with
an energy of 60 MeV and enrichment of about 80% at the ACCULINNA separator.
Measurements of 278 decays of the $^8$He nuclei stopped in the emulsion allow
the potential of the $\alpha$ spectrometry to be estimated and the thermal
drift of $^8$He atoms in matter to be observed for the first time.


title: On the nature of the brightest globular cluster in M81

abstract:
  We analyse the photometric, chemical, star formation history and structural
properties of the brightest globular cluster (GC) in M81, referred as GC1 in
this work, with the intention of establishing its nature and origin. We find
that it is a metal-rich ([Fe/H]=-0.60+/-0.10), alpha-enhanced
([Alpha/Fe]=0.20+/0.05), core-collapsed (core radius r_c=1.2 pc, tidal radius
r_t = 76r_c), old (>13 Gyr) cluster. It has an ultraviolet excess equivalent of
~2500 blue horizontal branch stars. It is detected in X-rays indicative of the
presence of low-mass binaries. With a mass of 10 million solar masses, the
cluster is comparable in mass to M31-G1 and is four times more massive than
Omega Cen. The values of r_c, absolute magnitude and mean surface brightness of
GC1 suggest that it could be, like massive GCs in other giant galaxies, the
left-over nucleus of a dissolved dwarf galaxy.


title: Abelian complexity function of the Tribonacci word

abstract:
  According to a result of Richomme, Saari and Zamboni, the abelian complexity
of the Tribonacci word satisfies $\rho^{\mathrm{ab}}(n)\in\{3,4,5,6,7\}$ for
each $n\in\mathbb{N}$. In this paper we derive an automaton that evaluates the
function $\rho^{\mathrm{ab}}(n)$ explicitly. The automaton takes the Tribonacci
representation of $n$ as its input; therefore,
$(\rho^{\mathrm{ab}}(n))_{n\in\mathbb{N}}$ is an automatic sequence in a
generalized sense. Since our evaluation of $\rho^{\mathrm{ab}}(n)$ uses
$\mathcal{O}(\log n)$ operations, it is fast even for large values of $n$. Our
result also leads to a solution of an open problem proposed by Richomme et al.
concerning the characterization of those $n$ for which
$\rho^{\mathrm{ab}}(n)=c$ with $c$ belonging to $\{4,5,6,7\}$. In addition, we
apply the same approach on the $4$-bonacci word. In this way we find a
description of the abelian complexity of the $4$-bonacci word, too.


title:
Concentration of the Stationary Distribution on General Random Directed
  Graphs

abstract:
  We consider a random model for directed graphs whereby an arc is placed from
one vertex to another with a prescribed probability which may vary from arc to
arc. Using perturbation bounds as well as Chernoff inequalities, we show that
the stationary distribution of a Markov process on a random graph is
concentrated near that of the "expected" process under mild conditions. These
conditions involve the ratio between the minimum and maximum in- and
out-degrees, the ratio of the minimum and maximum entry in the stationary
distribution, and the smallest singu- lar value of the transition matrix.
Lastly, we give examples of applications of our results to well-known models
such as PageRank and G(n, p).


title:
The spin-state crossover and low-temperature magnetic state in yttrium
  doped Pr$_{0.7}$Ca$_{0.3}$CoO$_3$

abstract:
  The structural and magnetic properties of two mixed-valence cobaltites with
formal population of 0.30 Co$^{4+}$ ions per f.u.,
(Pr$_{1-y}$Y$_{y}$)$_{0.7}$Ca$_{0.3}$CoO$_3$ ($y=0$ and 0.15), have been
studied down to very low temperatures by means of the high-resolution neutron
diffraction, SQUID magnetometry and heat capacity measurements. The results are
interpreted within the scenario of the spin-state crossover from a
room-temperature mixture of the intermediate spin Co$^{3+}$ and low spin
Co$^{4+}$ (IS/LS) at the to the LS/LS mixture in the sample ground states. In
contrast to the yttrium free $y=0$ that retains the metallic-like character and
exhibits ferromagnetic ordering below 55 K, the doped system $y=0.15$ undergoes
a first-order metal-insulator transition at 132 K, during which not only the
crossover to low spin states but also a partial electron transfer from
Pr$^{3+}$ 4f to cobalt 3d states take place simultaneously. Taking into account
the non-magnetic character of LS Co$^{3+}$, such valence shift electronic
transition causes a magnetic dilution, formally to 0.12 LS Co$^{4+}$ or 0.12
$t_{2g}$ hole spins per f.u., which is the reason for an insulating, highly
non-uniform magnetic ground state without long-range order. Nevertheless, even
in that case there exists a relatively strong molecular field distributed over
all the crystal lattice. It is argued that the spontaneous FM order in $y=0$
and the existence of strong FM correlations in $y=0.15$ apparently contradict
the single $t_{2g}$ band character of LS/LS phase. The explanation we suggest
relies on a model of the defect induced, itinerant hole mediated magnetism,
where the defects are identified with the magnetic high-spin Co$^{3+}$ species
stabilized near oxygen vacancies.


title: Otto Toeplitz: Algebraiker der unendlichen Matrizen

abstract:
  This article is about life and work of Otto Toeplitz, who was influenced by
the ideas of Felix Klein and David Hilbert.


title: Measuring Singularities with Frobenius: The Basics

abstract:
  Consider a polynomial $f$ defined over a field $k$, the multiplicity is
perhaps the most naive measurement of the singularities of $f$. This paper
describes the first steps toward understanding a much more subtle measure of
singularities which arises naturally in three different contexts-- analytic,
algebro-geometric, and finally, algebraic. Miraculously, all three approaches
lead to essentially the same measurement of singularities: the log canonical
threshold (in characteristic zero) and the closely related $F$-pure threshold
(in characteristic $p$). In this paper we present only the first steps in
understanding these invariants, with an emphasis on the prime characteristic
setting.


title:
On the concentration of random multilinear forms and the universality of
  random block matrices

abstract:
  The circular law asserts that if $X_n$ is a $n \times n$ matrix with iid
complex entries of mean zero and unit variance, then the empirical spectral
distribution of $\frac{1}{\sqrt{n}} X_n$ converges almost surely to the uniform
distribution on the unit disk as $n$ tends to infinity. Answering a question of
Tao, we prove the circular law for a general class of random block matrices
with dependent entries. The proof relies on an inverse-type result for the
concentration of linear operators and multilinear forms.


title:
The use and calibration of read-out streaks to increase the dynamic
  range of the Swift Ultraviolet/Optical Telescope

abstract:
  The dynamic range of photon counting micro-channel-plate (MCP) intensified
charged-coupled device (CCD) instruments such as the Swift Ultraviolet/Optical
Telescope (UVOT) and the XMM-Newton Optical Monitor (XMM-OM) is limited at the
bright end by coincidence loss, the superposition of multiple photons in the
individual frames recorded by the CCD. Photons which arrive during the brief
period in which the image frame is transferred for read out of the CCD are
displaced in the transfer direction in the recorded images. For sufficiently
bright sources, these displaced counts form read-out streaks. Using UVOT
observations of Tycho-2 stars, we investigate the use of these read-out streaks
to obtain photometry for sources which are too bright (and hence have too much
coincidence loss) for normal aperture photometry to be reliable. For
read-out-streak photometry, the bright-source limiting factor is coincidence
loss within the MCPs rather than the CCD. We find that photometric measurements
can be obtained for stars up to 2.4 magnitudes brighter than the usual
full-frame coincidence-loss limit by using the read-out streaks. The resulting
bright-limit Vega magnitudes in the UVOT passbands are UVW2=8.80, UVM2=8.27,
UVW1=8.86, u=9.76, b=10.53, v=9.31 and White=11.71; these limits are
independent of the windowing mode of the camera. We find that a photometric
precision of 0.1 mag can be achieved through read-out streak measurements. A
suitable method for the measurement of read-out streaks is described and all
necessary calibration factors are given.


title:
Non-classical transport with angular-dependent path-length
  distributions. 1: Theory

abstract:
  This paper extends a recently introduced theory describing particle transport
for random statistically homogeneous systems in which the distribution function
p(s) for chord lengths between scattering centers is non-exponential. Here, we
relax the previous assumption that p(s) does not depend on the direction of
flight \Omega; this leads to an extended generalized linear Boltzmann equation
that includes angular-dependent cross sections, and to an extended generalized
diffusion equation that accounts for anisotropic behavior resulting from the
statistics of the system.


title: Carlson's <_1-relation on the class of epsilon numbers

abstract:
  Based on the class of epsilon numbers, another binary relational <^1 in the
ordinals is introduced. We will see that we can easily describe all the
isomorphisms that are witnesses of <^1. Afterwards we will show that the
isomorphisms witnesses of <^1 are "essentially the same" than the isomorphisms
of the <_1-relation for finite subsets of ordinals that are closed under "the
cover construction". Finally, through our understanding of <^1 we will see how
it is that <_1 induces thinner kappa-club classes of ordinals: Thinner than the
thinnest class of ordinals seen in the article "Carlson's <_1-relation on the
class of additive principal ordinals"; indeed, the thinnest class of ordinals
induced by <_1 that we will obtain in this article will have as it's first
element the Bachmann's ordinal |ID_1|. An independent proof of this last fact
will be provided in a coming article.


title: Constraining anomalous HVV interactions at proton and lepton colliders

abstract:
  In this paper, we study the extent to which CP parity of a Higgs boson, and
more generally its anomalous couplings to gauge bosons, can be measured at the
LHC and a future electron-positron collider. We consider several processes,
including Higgs boson production in gluon and weak boson fusion and production
of a Higgs boson in association with an electroweak gauge boson. We consider
decays of a Higgs boson including $ZZ, WW, \gamma \gamma$, and $Z \gamma$.
Matrix element approach to three production and decay topologies is developed
and applied in the analysis. A complete Monte Carlo simulation of the above
processes at proton and $e^+e^-$ colliders is performed and verified by
comparing it to an analytic calculation. Prospects for measuring various tensor
couplings at existing and proposed facilities are compared.


title: Numerical Stability and Catalan Numbers

abstract:
  To predict allowable time-step size for the fully discretized nonlinear
differential equations, a stability theory is developed using exact
determination of an infinite perturbation series. Mathematical induction is
used to determine the coefficients of the series. It is discovered that the
closed-form equation for the nonlinear shift of generic polynomial
non-linearity can be written as a series expansion where the coefficients are
the Pfaff-Fuss-Catalan numbers in Combinatorics. This reveals criteria which
can be used to analytically determine the allowable time step. It is shown that
stability region decreases when the nonlinearity of the differential equation
increases. Therefore, the maximum allowable time step is severely limited by
the nonlinearity even if an unconditionally stable scheme (in a linear sense)
is used. The theory is applied to general system of time-dependent nonlinear
Partial Differential Equations.


title: An Equational Metalogic for Monadic Equational Systems

abstract:
  The paper presents algebraic and logical developments. From the algebraic
viewpoint, we introduce Monadic Equational Systems as an abstract enriched
notion of equational presentation. From the logical viewpoint, we provide
Equational Metalogic as a general formal deductive system for the derivability
of equational consequences. Relating the two, a canonical model theory for
Monadic Equational Systems is given and for it the soundness of Equational
Metalogic is established. This development involves a study of clone and
double-dualization structures. We also show that in the presence of free
algebras the model theory of Monadic Equational Systems satisfies an internal
strong-completeness property.


title:
Pivotal fusion categories of rank 3 (with an Appendix written jointly
  with Dmitri Nikshych)

abstract:
  We classify all fusion categories of rank 3 that admit a pivotal structure
over an algebraically closed field of characteristic zero. Also in the Appendix
(joint with D.Nikshych) we give some restrictions on Grothendieck rings of
near-group categories.


title: Simultaneous dense and nondense orbits for commuting maps

abstract:
  We show that, for two commuting automorphisms of the torus and for two
elements of the Cartan action on compact higher rank homogeneous spaces, many
points have drastically different orbit structures for the two maps.
Specifically, using measure rigidity, we show that the set of points that have
dense orbit under one map and nondense orbit under the second has full
Hausdorff dimension.


title:
On an auto-controlled global existence scheme of the incompressible
  Navier Stokes equation

abstract:
  We propose a global scheme for the incompressible Navier Stokes equation,
where at each time step a damping potential term is introduced via a time
dilation transformation of the equation itself. This leads a global upper
bounds of the value function and its spatial derivatives. The regularity is
limited only by the regularity of the viscosity coefficient function and by the
regularity and polynomial decay of the data. On an analytical level the scheme
proposed is an alternative to schemes with external control functions.


title: Plane partitions with 2-periodic weights

abstract:
  We study scaling limits of skew plane partitions with periodic weights under
several boundary conditions. We compute the correlation kernel of the limiting
point process in the bulk and near turning points on the frozen boundary. The
turning points that appear in the homogeneous case split in our model into
pairs of turning points macroscopically separated by a "semi-frozen" region. As
a result the point process at a turning point is not the GUE minor process, but
rather a pair of GUE minor processes, non-trivially correlated.
  We also study an intermediate regime when the weights are periodic but all
converge to 1. In this regime the limit shape and correlations in the bulk are
the same as in the case of homogeneous weights and periodicity is not visible
in the bulk. However, the process at turning points is still not the GUE minor
process.


title:
On the number of polynomials of bounded height that satisfy Dumas's
  criterion

abstract:
  We study integer coefficient polynomials of fixed degree and maximum height
$H$, that are irreducible by Dumas's criterion. We call such polynomials Dumas
polynomials. We derive upper bounds on the number of Dumas polynomials, as $H$
approaches infinity. We also show that, for a fixed degree, the density of
Dumas polynomials in all irreducible integer coefficient polynomials is
strictly less than 1.


title: Pressure-Induced Superconductivity in Mineral Calaverite AuTe2

abstract:
  The pressure dependences of resistivity and ac susceptibility have been
measured in the mineral calaverite AuTe$_2$. Resistivity clearly shows a
first-order phase transition into a high-pressure phase, consistent with the
results of a previous structural analysis. We found zero resistivity and a
diamagnetic shielding signal at low temperatures in the high-pressure phase,
which clearly indicates the appearance of superconductivity. Our experimental
results suggest that bulk superconductivity appears only in the high-pressure
phase. For AuTe$_2$, the highest superconducting transition temperature under
pressure is $T_{\rm c}$ = 2.3 K at 2.34 GPa; it was $T_{\rm c}$ = 4.0 K for
Pt-doped (Au$_{0.65}$Pt$_{0.35}$)Te$_2$. The difference in $T_{\rm c}$ between
the two systems is discussed on the basis of the results obtained using the
band calculations and McMillan's formula.


title:
A reference-beam autocollimator with nanoradian sensitivity from mHz to
  kHz and dynamic range of 10^7

abstract:
  We describe an autocollimating optical angle sensor with a dynamic range of 9
mrad and nrad/sqrt(Hz) sensitivity at frequencies from 5 mHz to 3 kHz. This
work improves the standard multi-slit autocollimator design by adding two
optical components, a reference mirror and a condensing lens. This
autocollimator makes a differential measurement between a reference mirror and
a target mirror, suppressing common-mode noise sources. The condensing lens
reduces optical aberrations, increases intensity, and improves image quality.
To further improve the stability of the device at low frequencies the body of
the autocollimator is designed to reduce temperature variations and their
effects. A new data processing technique was developed in order to suppress the
effects of imperfections in the CCD.


title: Absence of structural transition in TM0.5IrTe2 (TM=Mn, Fe, Co, Ni)

abstract:
  TM-doped IrTe2(TM=Mn, Fe, Co, Ni) compounds were synthesized by solid state
reaction. Single crystal x-ray diffraction experiments indicate that part of
the doped TM ions (TM=Fe, Co, and Ni) substitute for Ir, and the rest
intercalate into the octahedral interstitial sites located in between IrTe2
layers. Due to the lattice mismatch between MnTe2 and IrTe2, Mn has limited
solubility in IrTe2 lattice. The trigonal structure is stable in the whole
temperature range 1.80<T<300K for all doped compositions. No long range
magnetic order or superconductivity was observed in any doped compositions
above 1.80K. A spin glass behavior below 10K was observed in Fe-doped IrTe2
from the temperature dependence of magnetization, electrical resistivity, and
specific heat. The low temperature specific heat data suggest the electron
density of states is enhanced in Fe- and Co-doped compositions but reduced in
Ni-doped IrTe2. With the 3d transition metal doping the trigonal a-lattice
parameters increases but the c-lattice parameter decreases. Detailed analysis
of the single crystal x-ray diffraction data shows that interlayer Te-Te
distance increases despite a reduced c-lattice. The importance of the Te-Te,
Te-Ir, and Ir-Ir bonding is discussed.


title:
Observation of Rayleigh phonon scattering through excitation of
  extremely high overtones in low-loss cryogenic acoustic cavities for hybrid
  quantum systems

abstract:
  The confinement of high frequency phonons approaching 1 GHz is demonstrated
in phonon-trapping acoustic cavities at cryogenic temperatures using a
low-coupled network approach. The frequency range is extended by nearly an
order of magnitude, with excitation at greater than the 200$^{\text{th}}$
overtone achieved for the first time. Such high frequency operation reveals
Rayleigh-type phonon scattering losses due to highly diluted lattice impurities
and corresponding glass-like behaviour, with a maximum $Q_L\times f$ product of
$8.6\times 10^{17}$ at 3.8K and $4\times10^{17}$ at 15mK. This suggests a limit
on the $Q\times f$ product due to unavoidable crystal disorder. Operation at 15
mK is high enough in frequency that the average phonon occupation number is
less than unity, with a loaded quality factor above half a billion. This work
represents significant progress towards the utilisation of such acoustic
cavities for hybrid quantum systems.


title:
Large-time behavior for obstacle problems for degenerate viscous
  Hamilton--Jacobi equations

abstract:
  Cagnetti, Gomes, Mitake and Tran (2013) introduced a new idea to study the
large time behavior for degenerate viscous Hamilton--Jacobi equations. In this
paper, we apply the method to study the large-time behavior of the solution to
the obstacle problem for degenerate viscous Hamilton--Jacobi equations. We
establish the convergence result under rather general assumptions.


title:
Extremely Low Loss Phonon-Trapping Cryogenic Acoustic Cavities for
  Future Physical Experiments

abstract:
  Low loss Bulk Acoustic Wave devices are considered from the point of view of
the solid state approach as phonon-confining cavities. We demonstrate effective
design of such acoustic cavities with phonon-trapping techniques exhibiting
extremely high quality factors for trapped longitudinally-polarized phonons of
various wavelengths. Quality factors of observed modes exceed 1 billion, with a
maximum $Q$-factor of 8 billion and $Q\times f$ product of $1.6\cdot10^{18}$ at
liquid helium temperatures. Such high sensitivities allow analysis of intrinsic
material losses in resonant phonon systems. Various mechanisms of phonon losses
are discussed and estimated.


title: Obtain $W$-state from three-qubit $GHZ$-state on rate 1

abstract:
  In this paper, we study the entanglement transformation rate between
multipartite states under stochastic local operations and classical
communication (SLOCC). Firstly, we show that the entanglement transformation
rate from $\ket{GHZ}=\tfrac{1}{\sqrt{2}}(\ket{000}+\ket{111})$ to
$\ket{W}=\tfrac{1}{\sqrt{3}}(\ket{100}+\ket{010}+\ket{001})$ is 1, that is, one
can obtain 1 copy of $W$-state, from 1 copy of $GHZ$-state by SLOCC,
asymptotically. We then generalize this result to a lower bound on the rate
that from $N$-partite $GHZ$-state to Dicke states. For some special cases, the
optimality of this bound is proved. We then discuss the tensor rank of matrix
permanent by evaluating the the tensor rank of Dicke state.


title:
Prospects for the Detection of Fast Radio Bursts with the Murchison
  Widefield Array

abstract:
  Fast Radio Bursts (FRBs) are short timescale (<<1 s) astrophysical radio
signals, presumed to be a signature of cataclysmic events of extragalactic
origin. The discovery of six high-redshift events at ~1400 MHz from the Parkes
radio telescope suggests that FRBs may occur at a high rate across the sky. The
Murchison Widefield Array (MWA) operates at low radio frequencies (80-300 MHz)
and is expected to detect FRBs due to its large collecting area (~2500 m^2) and
wide field-of-view (FOV, ~1000 square degrees at nu=200 MHz). We compute the
expected number of FRB detections for the MWA assuming a source population
consistent with the reported detections. Our formalism properly accounts for
the frequency-dependence of the antenna primary beam, the MWA system
temperature, and unknown spectral index of the source population, for three
modes of FRB detection: coherent; incoherent; and fast imaging. We find that
the MWA's sensitivity and large FOV combine to provide the expectation of
multiple detectable events per week in all modes, potentially making it an
excellent high time resolution science instrument. Deviations of the expected
number of detections from actual results will provide a strong constraint on
the assumptions made for the underlying source population and intervening
plasma distribution.


title:
Bounds on performance measures for the (r, q) lost sales system with
  Poisson demand and constant lead time

abstract:
  We demonstrate that the fraction of sales lost for the (r, q) system under
consideration can be conveniently bounded in a manner suitable for quick,
back-of-the-envelope estimates. We assume that customer demand arises from a
Poisson process with one unit demanded at a time, that all demand occurring
during a stockout is lost, and that lead time is constant. In addition, we
allow the situation where multiple replenishment orders may be simultaneously
outstanding. We show that the difference between the upper and lower bounds on
the the fraction of sales lost appears likely to be no more than 6:5% (0:065),
and is typically significantly better than that. In particular, the bounds
appear to be very useful when the reorder point is relatively high or when the
mean lead time demand is significantly different from the reorder point. In
addition, we relate the common performance measures for the system, and so
enable bounding the total operating costs.


title:
A Study of Cooling Time Reduction of Interferometric Cryogenic
  Gravitational Wave Detectors Using a High-Emissivity Coating

abstract:
  In interferometric cryogenic gravitational wave detectors, there are plans to
cool mirrors and their suspension systems (payloads) in order to reduce thermal
noise, that is, one of the fundamental noise sources. Because of the large
payload masses (several hundred kg in total) and their thermal isolation, a
cooling time of several months is required. Our calculation shows that a
high-emissivity coating (e.g. a diamond-like carbon (DLC) coating) can reduce
the cooling time effectively by enhancing radiation heat transfer. Here, we
have experimentally verified the effect of the DLC coating on the reduction of
the cooling time.


title: Maxima of the Q-index: degenerate graphs

abstract:
  Let $G$ be a $k$-degenerate graph of order $n.$ It is well-known that $G\
$has no more edges than $S_{n,k},$ the join of a complete graph of order $k$
and an independent set of order $n-k.$ In this note it is shown that $S_{n,k}$
is extremal for some spectral parameters of $G$ as well. More precisely,
letting $\mu\left( H\right) $ and $q\left( H\right) $ denote the largest
eigenvalues of the adjacency matrix and the signless Laplacian of a graph $H,$
the inequalities \[ \mu\left( G\right) <\mu\left( S_{n,k}\right) \text{ and
}q\left( G\right) <q\left( S_{n,k}\right) \] hold, unless $G=S_{n,k}$.
  The latter inequality is deduced from the following general bound, which
improves some previous bounds on $q\left( G\right) $:
  If $G$ is a graph of order $n$, with $m$ edges, with maximum degree $\Delta$
and minimum degree $\delta,$ then \[ q\left( G\right) \leq\min\left\{
2\Delta,\frac{1}{2}\left( \Delta +2\delta-1+\sqrt{\left(
\Delta+2\delta-1\right) ^{2}+16m-8\left( n-1+\Delta\right) \delta}\right)
\right\} . \] Equality holds if and only if $G$ is regular or $G$ has a
component of order $\Delta+1$ in which every vertex is of degree $\delta$ or
$\Delta,$ and all other components are $\delta$-regular.


title: Mass Extinction And The Structure Of The Milky Way

abstract:
  We use the most up to date Milky Way model and solar orbit data in order to
test the hypothesis that the Sun's galactic spiral arm crossings cause mass
extinction events on Earth. To do this, we created a new model of the Milky
Way's spiral arms by combining a large quantity of data from several surveys.
We then combined this model with a recently derived solution for the solar
orbit to determine the timing of the Sun's historical passages through the
Galaxy's spiral arms. Our new model was designed with a symmetrical appearance,
with the major alteration being the addition of a spur at the far side of the
Galaxy. A correlation was found between the times at which the Sun crosses the
spiral arms and six known mass extinction events. Furthermore, we identify five
additional historical mass extinction events that might be explained by the
motion of the Sun around our Galaxy. These five additional significant drops in
marine genera that we find include significant reductions in diversity at 415,
322, 300, 145 and 33 Myr ago. Our simulations indicate that the Sun has spent
~60% of its time passing through our Galaxy's various spiral arms. Also, we
briefly discuss and combine previous work on the Galactic Habitable Zone with
the new Milky Way model.


title: Mars Encounters cause fresh surfaces on some near-Earth asteroids

abstract:
  All airless bodies are subject to the space environment, and spectral
differences between asteroids and meteorites suggest many asteroids become
weathered on very short (<1My) timescales. The spectra of some asteroids,
particularly Q-types, indicate surfaces that appear young and fresh, implying
they have been recently been exposed. Previous work found that Earth encounters
were the dominant freshening mechanism and could be responsible for all
near-Earth object (NEO) Q-types. In this work we increase the known NEO Q-type
sample of by a factor of three. We present the orbital distributions of 64
Q-type near-Earth asteroids, and seek to determine the dominant mechanisms for
refreshing their surfaces. Our sample reveals two important results: i) the
relatively steady fraction of Q-types with increasing semi-major axis and ii)
the existence of Q-type near-Earth asteroids with Minimum Orbit Intersection
Distances (MOID) that do not have orbit solutions that cross Earth. Both of
these are evidence that Earth-crossing is not the only scenario by which NEO
Q-types are freshened. The high Earth-MOID asteroids represent 10% of the
Q-type population and all are in Amor orbits. While surface refreshing could
also be caused by Main Belt collisions or mass shedding from YORP spinup, all
high Earth-MOID Q-types have the possibility of encounters with Mars indicating
Mars could be responsible for a significant fraction of NEOs with fresh
surfaces.


title: Topological phase structure of vector vortex beams

abstract:
  The topological phase acquired by vector vortex optical beams is
investigated. Under local unitary operations on their polarization and
transverse degrees of freedom, the vector vortices can only acquire discrete
geometric phase values, 0 or $\pi\,$, associated with closed paths belonging to
different homotopy classes on the SO(3) manifold. These discrete values are
demonstrated through interferometric measurements and the spin-orbit mode
separability is associated to the visibility of the interference patterns. The
local unitary operations performed on the vector vortices involved both
polarization and transverse mode transformations with birefringent wave plates
and astigmatic mode converters. The experimental results agree with our
theoretical simulations and generalize our previous results obtained with
polarization transformations only.


title:
Tuning Magnetotransport in PdPt/Y3Fe5O12: Effects of magnetic proximity
  and spin orbital coupling

abstract:
  Anisotropic magnetoresistance (AMR) ratio and anomalous Hall conductivity
(AHC) in PdPt/Y$_3$Fe$_5$O$_{12}$ (YIG) system are tuned significantly by spin
orbital coupling strength $\xi$ through varying the Pt concentration. For both
Pt/YIG and Pd/YIG, the maximal AMR ratio is located at temperatures for the
maximal susceptibility of paramagnetic Pt and Pd metals. The AHC and ordinary
Hall effect both change the sign with temperature for Pt-rich system and vice
versa for Pd-rich system. The present results ambiguously evidence the spin
polarization of Pt and Pd atoms in contact with YIG layers. The global
curvature near the Fermi surface is suggested to change with the Pt
concentration and temperature.


title: Quantum Fisher information and spin squeezing in one-axis twisting model

abstract:
  We consider the quantum Fisher information and spin squeezing in one-axis
twisting model with a coherent spin state $|\theta_{0},\phi_{0}\rangle$. We
analytically discuss the dependence of the two parameters: spin squeezing
parameter $\xi^2_{K}$ and the average parameter estimation precision $\chi^2$
on the polar angle $\theta_{0}$ and the azimuth angle $\phi_0$. Moreover, we
discuss the effects of the collisional dephasing on the dynamics of the two
parameters. In this case, the analytical solution of $\xi^2_K$ is also
obtained.


title:
A Simple Solution To The Uncertain Delay Problem in USRP Based SDR-Radar
  Systems

abstract:
  We propose a simple solution to the uncertain delay problem in USRP
(Universal Software Radio Peripheral)-based SDR (Software-Defined Radio)-radar
systems. Instead of time-synchronization as employed in (pseudo-) passive radar
configurations, which require at least two synchronized receivers, we use
direct reception signal in a single receiver system as a reference to the exact
location of the target echoes. After finding the reference position, reordering
of the echoes is conducted by circular shift so that the reference moved to the
origin. We demonstrate the effectiveness of the proposed method by simulating
the problem on Matlab and implementing a 128 length random code radar on a
USRP. The random code is constructed from zero padded Barker sequence product.
Experiments on measuring multiple echoes of the targets at precise range bins
confirm the applicability of the proposed method.


title:
Network Anomaly Detection: A Survey and Comparative Analysis of
  Stochastic and Deterministic Methods

abstract:
  We present five methods to the problem of network anomaly detection. These
methods cover most of the common techniques in the anomaly detection field,
including Statistical Hypothesis Tests (SHT), Support Vector Machines (SVM) and
clustering analysis. We evaluate all methods in a simulated network that
consists of nominal data, three flow-level anomalies and one packet-level
attack. Through analyzing the results, we point out the advantages and
disadvantages of each method and conclude that combining the results of the
individual methods can yield improved anomaly detection results.


title:
In medium eta' mass and eta' N interaction based on chiral effective
  theory

abstract:
  The in-medium eta' mass and the eta'N interaction are investigated in an
effective theory based on the linear realization of the SU(3) chiral symmetry.
We find that a large part of the eta' mass is generated by the spontaneous
breaking of chiral symmetry through the U_A (1) anomaly. As a consequence of
this observation, the eta' mass is reduced in nuclear matter where chiral
symmetry is partially restored. In our model, the mass reduction is found to be
80MeV at the saturation density. Estimating the eta' N interaction based on the
same effective theory, we find that the eta' N interaction in the scalar
channel is attractive sufficiently to form a bound state in the eta' N system
with a several MeV binding energy. We discuss the origin of attraction by
emphasizing the special role of the sigma meson in the linear sigma model for
the mass generation of eta' and N.


title: A Robust Information Source Estimator with Sparse Observations

abstract:
  In this paper, we consider the problem of locating the information source
with sparse observations. We assume that a piece of information spreads in a
network following a heterogeneous susceptible-infected-recovered (SIR) model
and that a small subset of infected nodes are reported, from which we need to
find the source of the information. We adopt the sample path based estimator
developed in [1], and prove that on infinite trees, the sample path based
estimator is a Jordan infection center with respect to the set of observed
infected nodes. In other words, the sample path based estimator minimizes the
maximum distance to observed infected nodes. We further prove that the distance
between the estimator and the actual source is upper bounded by a constant
independent of the number of infected nodes with a high probability on infinite
trees. Our simulations on tree networks and real world networks show that the
sample path based estimator is closer to the actual source than several other
algorithms.


title: Coherent states of composite bosons

abstract:
  We present a systematic analysis on coherent states of composite bosons
consisting of two distinguishable particles. By defining an effective composite
boson (coboson) annihilation operator, we derive its eigenstate and commutator.
Depending on the elementary particles comprising the composite particles, we
gauge the resemblance between this eigenstate and traditional coherent states
through typical measures of nonclassicality, such as quadrature variances and
Mandel's Q parameter. Furthermore, we show that the eigenstate of the coboson
annihilation operator is useful in estimating the maximum eigenvalue of the
coboson number operator.


title: Experimental determination of circuit equations

abstract:
  Kirchhoff's laws offer a general, straightforward approach to circuit
analysis. Unfortunately, use of the laws becomes impractical for all but the
simplest of circuits. This work presents a novel method of analyzing direct
current resistor circuits. It is based on an approach developed to model
complex networks, making it appropriate for use on large, complicated circuits.
It is unique in that it is not an analytic method. It is based on experiment,
yet the approach produces the same circuit equations obtained by more
traditional means.


title: Finite generation of Tate cohomology of symmetric Hopf algebras

abstract:
  Let $A$ be a finite dimensional symmetric Hopf algebra over a field $k$. We
show that there are $A$-modules whose Tate cohomology is not finitely generated
over the Tate cohomology ring of $A$. However, we also construct $A$-modules
which have finitely generated Tate cohomology. It turns out that if a module in
a connected component of the stable Auslander-Reiten quiver associated to $A$
has finitely generated Tate cohomology, then so does every module in that
component. We apply some of these finite generation results on Tate cohomology
to an algebra defined by Radford and to the restricted universal enveloping
algebra of $sl_2(k)$.


title:
Distributed estimation and control for preserving formation rigidity for
  mobile robot teams

abstract:
  Inspired by the concept of network algebraic connectivity, we adopt an
extended notion named rigidity preservation index to characterize the rigidity
property for a formation framework. A gradient based controller is proposed to
ensure the rigidity preservation of multi-robot networks in an unknown
environment, while the rigidity metric can be maximized over time during
robots' motions. In order to implement the controller in a distributed manner,
a distributed inverse power iteration algorithm is developed which allows each
robot to estimate the global rigidity index information. Simulation results are
provided to demonstrate the effectiveness of the estimation and control scheme.


title: Salem numbers in dynamics of K\"ahler threefolds and complex tori

abstract:
  Let $X$ be a compact K\"ahler manifold of dimension $k\leq 4$ and
$f:X\rightarrow X$ a pseudo-automorphism. If the first dynamical degree
$\lambda_1(f)$ is a Salem number, we show that either
$\lambda_1(f)=\lambda_{k-1}(f)$ or $\lambda_1(f)^2=\lambda_{k-2}(f)$. In
particular, if $\mbox{dim}(X)=3$ then $\lambda_1(f)=\lambda_2(f)$. We use this
to show that if $X$ is a complex 3-torus and $f$ is an automorphism of $X$ with
$\lambda_1(f)>1$, then $f$ has a non-trivial equivariant holomorphic fibration
if and only if $\lambda_1(f)$ is a Salem number. If $X$ is a complex 3-torus
having an automorphism $f$ with $\lambda_1(f)=\lambda_2(f)>1$ but is not a
Salem number, then the Picard number of $X$ must be 0,3 or 9, and all these
cases can be realized.


title:
Irreversible Temperature Quenching and Antiquenching of
  Photoluminescence of ZnS/CdS:Mn/ZnS Quantum Well Quantum Dots

abstract:
  An experimental observation on irreversible thermal quenching and
antiquenching behavior is reported for photoluminescence (PL) of ZnS/CdS:Mn/ZnS
quantum well quantum dots (QWQDs) prepared with a reverse micelle method. The
dual-color emissions, a blue emission band centered at 430 nm and a Mn2+ 4T1 ->
6A1 orange emission peak at 600 nm, were found to have different dependences of
emission intensity on temperature in the range of 8-290 K. Depending on Mn2+
doping concentration, they can both show strong antiquenching behavior in a
certain temperature range in addition to the usual thermal quenching when
lowering down temperature while it is very prominent for orange emission but
weaker for blue emission. Moreover, the antiquenching behavior is weakened with
rise of temperature, giving rise to a hysteretic PL temperature dependence for
the QWQDs.


title:
Bilayer registry in a multicomponent asymmetric membrane : dependence on
  lipid composition and chain length

abstract:
  A question of considerable interest to cell membrane biology is whether phase
segregated domains across an asymmetric bilayer are strongly correlated with
each other and whether phase segregation in one leaflet can induce segregation
in the other. We answer both these questions in the affirmative, using an
atomistic molecular dynamics simulation to study the equilibrium statistical
properties of a 3-component {\em asymmetric} lipid bilayer comprising an
unsaturated POPC (palmitoyl-oleoyl-phosphatidyl-choline), a saturated SM
(sphingomyelin) and cholesterol with different composition ratios. Our
simulations are done by fixing the composition of the upper leaflet to be at
the coexistence of the liquid ordered ($l_o$) - liquid disordered ($l_d$)
phases, while the composition of the lower leaflet is varied from the phase
coexistence regime to the mixed $l_d$ phase, across a first-order phase
boundary. In the regime of phase coexistence in each leaflet, we find strong
transbilayer correlations of the $l_o$ domains across the two leaflets,
resulting in {\it bilayer registry}. This transbilayer correlation depends
sensitively upon the chain length of the participating lipids and possibly
other features of lipid chemistry, such as degree of saturation. We find that
the $l_o$ domains in the upper leaflet can {\em induce} phase segregation in
the lower leaflet, when the latter is nominally in the mixed ($l_d$) phase.


title: Simple fold maps and manifolds bounded by the source manifolds

abstract:
  Fold maps are higher dimensional versions of Morse functions, which play
important roles in the studies of smooth manifolds, and such general maps also
have been fundamental tools in the studies of smooth manifolds by using generic
maps. In this paper, we study {\it simple} fold maps, which are fold maps such
that any connected component of the inverse image of each singular value
includes at most one singular point. More precisely, we consider simple fold
maps having simple structures locally or globally and show that the source
manifolds are bounded by (PL) manifolds obtained by considering the structures
of maps under appropriate conditions. Such studies are regarded as extensions
of results obtained by Saeki, Suzuoka etc. by 2005, which state that closed
manifolds admitting simple fold maps and more generally stable maps into
manifolds of lower dimensions without boundaries inverse images of whose
regular values are always disjoint unions of spheres are bounded by compact
manifolds obtained by observing the given maps.


title:
Low energy dynamics of gapless and quasi-gapless modes of vortices in
  superfluid $^3$He-B

abstract:
  We discuss the low energy effective dynamics of gapless excitations of the
mass vortices of systems similar to the Ginzburg-Landau description of
superfluid helium-3 in the bulk B phase. Our approach is to determine the
vortex solution by considering a specific ansatz for the order parameter and
minimizing the free energy. The conditions on the $\beta_i$ coefficients
required for the stability of the various solutions for the order parameter are
calculated. By considering the symmetries that are broken by the vortex
solutions we are able to generate the moduli fields associated with the low
energy excitations of the vortices. Using these fields we determine the
effective free energy describing the dynamics of these excitations.


title: Light-Front Holographic Quantum Chromodynamics

abstract:
  Anti-de Sitter space in five dimensions provides an exact geometrical
representation of the conformal group. Remarkably, gravity in AdS$_5$ space is
holographically dual to frame-independent light-front Hamiltonian theory,
derived from the quantization of the QCD Lagrangian at fixed light-front time
$\tau = x^0+x^3$. Light-front holography also leads to a precise relation
between the bound-state amplitudes in the fifth dimension $z$ of AdS space and
the variable $\zeta$, where $\zeta^2 = b^2_\perp x(1-x)$ is the argument of the
boost-invariant light-front wavefunctions describing the internal structure of
hadrons in physical space-time. The holographic mapping of AdS space with a
specific "soft-wall" dilaton yields a confining potential $U(\zeta^2)$ for the
light-front Schr\"odinger equation for hadrons with arbitrary spin $J$.
Remarkably, $U(\zeta^2)$ has a unique form of a harmonic oscillator potential
if one requires that the chiral QCD action remains conformally invariant. One
thus obtains an effective light-front effective theory for general spin which
respects the conformal symmetry of the four-dimensional classical QCD
Lagrangian. The predictions of the LF equations of motion include a zero-mass
pion in the chiral $m_q\to 0$ limit, and linear Regge trajectories $M^2(n,L)
\propto n+L$ with the same slope in the radial quantum number $n$ and the
orbital angular momentum $L$. The light-front AdS/QCD holographic approach
gives a frame-independent representation of color-confining dynamics, Regge
spectroscopy, as well as the excitation spectra of relativistic light-quark
meson and baryon bound states in QCD in terms of a single mass parameter. We
also briefly discuss the implications of the underlying conformal template of
QCD for renormalization scale-setting, and the implications of light-front
quantization for the value of the cosmological constant.


title:
A sharp Sobolev trace inequality involving the mean curvature on
  Riemannian manifolds

abstract:
  In this paper, we examine the boundary $L^2$ term of the sharp Sobolev trace
inequality $\|u\|_{L^{q}(\pa M)}^2\leq S \|\nabla_g u\|_{L^2(M)}^2
+A(M,g)\|u\|^2_{L^2(\pa M)}$ on Riemannian manifolds $(M,g)$ with boundaries
$\pa M$, where $q=\frac{2(n-1)}{n-2}$, $S$ is the best constant and $A(M,g)$ is
some positive constant depending only on $M$ and $g$. We obtain a sharp trace
inequality involving the mean curvature in a remainder term, which would fail
in general once the mean curvature is replaced by any smaller function.


title: A polarization-based Thomson scattering technique for burning plasmas

abstract:
  The traditional Thomson scattering diagnostic is based on measurement of the
wavelength spectrum of scattered light, where electron temperature measurements
are inferred from thermal broadening of the scattered laser light. At
sufficiently high temperatures, especially those predicted for ITER and other
burning plasmas, relativistic effects cause a change in the polarization state
of the scattered photons. The resulting depolarization of the scattered light
is temperature dependent and has been proposed elsewhere as a potential
alternative to the traditional spectral decomposition technique. Following
similar work, we analytically calculate the degree of polarization for
incoherent Thomson scattering. For the first time, we obtain exact results
valid for the full range of incident laser polarization states and electron
temperatures. While previous work focused only on linear polarization, we show
that circularly polarized incident light optimizes the degree of depolarization
for a wide range of temperatures relevant to burning plasmas. We discuss the
feasibility of a polarization based Thomson scattering diagnostic for ITER-like
plasmas with both linearly and circularly polarized light and compare to the
traditional technique.


title: Predictive PAC Learning and Process Decompositions

abstract:
  We informally call a stochastic process learnable if it admits a
generalization error approaching zero in probability for any concept class with
finite VC-dimension (IID processes are the simplest example). A mixture of
learnable processes need not be learnable itself, and certainly its
generalization error need not decay at the same rate. In this paper, we argue
that it is natural in predictive PAC to condition not on the past observations
but on the mixture component of the sample path. This definition not only
matches what a realistic learner might demand, but also allows us to sidestep
several otherwise grave problems in learning from dependent data. In
particular, we give a novel PAC generalization bound for mixtures of learnable
processes with a generalization error that is not worse than that of each
mixture component. We also provide a characterization of mixtures of absolutely
regular ($\beta$-mixing) processes, of independent probability-theoretic
interest.


title:
Modeling complex spatial dynamics of two-population interaction in
  urbanization process

abstract:
  This paper is mainly devoted to lay an empirical foundation for further
research on complex spatial dynamics of two-population interaction. Based on
the US population census data, a rural and urban population interaction model
is developed. Subsequently a logistic equation on percentage urban is derived
from the urbanization model so that spatial interaction can be connected
mathematically with logistic growth. The numerical experiment by using the
discretized urban-rural population interaction model of urbanization shows a
period-doubling bifurcation and chaotic behavior, which is identical in
patterns to those from the simple mathematical models of logistic growth in
ecology. This suggests that the complicated dynamics of logistic growth may
come from some kind of the nonlinear interaction. The results from this study
help to understand urbanization, urban-rural population interaction, chaotic
dynamics, and spatial complexity of geographical systems.


title:
Power-law distributions based on exponential distributions: Latent
  scaling, spurious Zipf's law, and fractal rabbits

abstract:
  The different between the inverse power function and the negative exponential
function is significant. The former suggests a complex distribution, while the
latter indicates a simple distribution. However, the association of the
power-law distribution with the exponential distribution has been seldom
researched. Using mathematical derivation and numerical experiments, I reveal
that a power-law distribution can be created through averaging an exponential
distribution. For the distributions defined in a 1-dimension space, the scaling
exponent is 1; while for those defined in a 2-dimension space, the scaling
exponent is 2. The findings of this study are as follows. First, the
exponential distributions suggest a hidden scaling, but the scaling exponents
suggest a Euclidean dimension. Second, special power-law distributions can be
derived from exponential distributions, but they differ from the typical
power-law distribution. Third, it is the real power-law distribution that can
be related with fractal dimension. This study discloses the inherent
relationship between simplicity and complexity. In practice, maybe the result
presented in this paper can be employed to distinguish the real power laws from
spurious power laws (e.g., the fake Zipf distribution).