title: Spectra of winner-take-all stochastic neural networks

abstract:
  During the recent few years, in response to empirical findings suggesting
scale-free self-organisation phenomena emerging in complex nervous systems at a
mesoscale level, there has been significant search for suitable models and
theoretical explanations in neuroscientific literature, see the recent survey
by Bullmore and Sporns (2009). In Piekniewski and Schreiber (2008) we have
developed a simple and tractable mathematical model shedding some light on a
particular class of the afore-mentioned phenomena, namely on mesoscopic level
self-organisation of functional brain networks under fMRI imaging, where we
have achieved a high degree of agreement with existing empirical reports. Being
addressed to the neuroscientific community, our work Piekniewski and Schreiber
(2008) relied on semi-rigorous study of information flow structure in a class
of recurrent neural networks exhibiting asymptotic scale-free behaviour and
admitting a description in terms of the so-called winner-take-all dynamics. The
purpose of the present paper is to define and study these winner-take-all
networks with full mathematical rigour in context of their asymptotic spectral
properties, well known to be of interest for neuroscientific community. Our
main result is a limit theorem for spectra of the spike-flow graphs induced by
the winner-take-all dynamics. We provide an explicit characterisation of the
limit spectral measure expressed in terms of zeros of Bessel's J-function.


title: Direct photon production in d+A and A+A collisions at RHIC

abstract:
  Direct photon production in minimum bias d+Cu and d+Au and central Cu+Cu and
Au+Au collisions at center of mass energies $\sqrt{s}=62.4$ GeV and 200GeV at
RHIC is systematically investigated. We study the jet quenching effect, the
medium-induced photon bremsstrahlung and jet-photon conversion in the hot QGP.
We account for known cold nuclear matter effects, such as the isospin effect,
the Cronin effect, shadowing and cold nuclear matter energy loss. It is shown
that at high $p_T$ the nuclear modification factor for direct photons
$R_{AA}^{\gamma} (p_T) < 1$ is dominated by cold nuclear matter effects and
there is no evidence for large cross section amplification due to
medium-induced photon bremsstrahlung and jet-photon conversion in the medium.
Comparison of numerical simulations to experimental data also rules out large
Cronin enhancement and incoherent photon emission in the QGP but the error bars
in the current experimental data cannot provide further constraints on the
magnitudes of other nuclear matter effects.


title:
Kahler-Einstein Structures of General Natural Lifted Type on the
  Cotangent Bundles

abstract:
  We study the conditions under which the cotangent bundle $T^*M$ of a
Riemaannian manifold $(M,g)$, endowed with a K\"ahlerian structure $(G,J)$ of
general natural lift type (see \cite{Druta1}), is Einstein. We first obtain a
general natural K\"ahler-Einstein structure on the cotangent bundle $T^*M$. In
this case, a certain parameter, $\lambda$ involved in the condition for
$(T^*M,G,J)$ to be a K\"ahlerian manifold, is expressed as a rational function
of the other two, the value of the constant sectional curvature, $c$, of the
base manifold $(M,g)$ and the constant $\rho$ involved in the condition for the
structure of being Einstein. This expression of $\lambda$ is just that involved
in the condition for the K\"ahlerian manifold to have constant holomorphic
sectional curvature (see \cite{Druta2}). In the second case, we obtain a
general natural K\"ahler-Einstein structure only on $T_0M$, the bundle of
nonzero cotangent vectors to $M$. For this structure, $\lambda$ is expressed as
another function of the other two parameters, their derivatives, $c$ and
$\rho$.


title: The Necessary Structure of Congruences in Free Semigroups

abstract: A characterization of congruences in free semigroups is presented.


title:
Invariance Principle and recurrence for random walks in random
  environments with zero local drift

abstract:
  This paper has been withdrawn by the author due to a mistake in one of the
main lemmas.


title: Symmetries of the Weyl tensor in Bianchi V spacetimes

abstract:
  Symmetries of geometrical and physical quantities in general relativity
provide important information about the curvature structure of the spacetimes.
Symmetries of the curvature and the Weyl tensors, known as curvature and Weyl
collineations respectively, are two of such important symmetries. Some results
on these symmetries for Bianchi type V spacetimes are discussed.


title: A Distributed Platform for Mechanism Design

abstract:
  We describe a structured system for distributed mechanism design. It consists
of a sequence of layers. The lower layers deal with the operations relevant for
distributed computing only, while the upper layers are concerned only with
communication among players, including broadcasting and multicasting, and
distributed decision making. This yields a highly flexible distributed system
whose specific applications are realized as instances of its top layer.
  This design supports fault-tolerance, prevents manipulations and makes it
possible to implement distributed policing. The system is implemented in Java.
We illustrate it by discussing a number of implemented examples.


title:
Bounds on Very Weakly Interacting Sub-eV Particles (WISPs) from
  Cosmology and Astrophysics

abstract:
  Many weakly interacting sub-electronVolt particles (WISPs) are easily
accommodated in extensions of the standard model. Generally the strongest
bounds on their existence come from stellar evolution and cosmology, where to
the best of our knowledge observations seem to agree with the standard budget
of particles. In this talk I review the most demanding constraints for axions
and axion-like-particles, hidden photons and mini-charged particles.


title: Non-Abelian k-Vortex Dynamics in N=1^* theory and its Gravity Dual

abstract:
  We study magnetic flux tubes in the Higgs vacuum of the N=1^* mass
deformation of SU(N_c), N=4 SYM and its large N_c string dual, the
Polchinski-Strassler geometry. Choosing equal masses for the three adjoint
chiral multiplets, for all N_c we identify a "colour-flavour locked" symmetry,
SO(3)_{C+F} which leaves the Higgs vacuum invariant. At weak coupling, we find
explicit non-Abelian k-vortex solutions carrying a Z_{N_c}-valued magnetic
flux, with winding, 0 < k < N_c. These k-strings spontaneously break
SO(3)_{C+F} to U(1)_{C+F} resulting in an S^2 moduli space of solutions. The
world-sheet sigma model is a nonsupersymmetric CP^1 model with a theta angle
\theta_{1+1} = k(N_c-k)\theta_{3+1} where \theta_{3+1} is the Yang-Mills vacuum
angle. We find numerically that k-vortex tensions follow the Casimir scaling
law T_k \propto k (N_c-k) for large N_c. In the large N_c IIB string dual, the
SO(3)_{C+F} symmetry is manifest in the geometry interpolating between AdS_5 x
S^5 and the interior metric due to a single D5-brane carrying D3-brane charge.
We identify candidate k-vortices as expanded probe D3-branes formed from a
collection of k D-strings. The resulting k-vortex tension exhibits precise
Casimir scaling, and the effective world-sheet theta angle matches the
semiclassical result. S-duality maps the Higgs to the confining phase so that
confining string tensions at strong 't Hooft coupling also exhibit Casimir
scaling in N=1^* theory in the large N_c limit.


title: Classification of spacetimes according to conformal Killing vectors

abstract:
  Conformal Killing vectors (CKVs) preserve the spacetime metric up to a
factor. Homothetic vectors and Killing vectors are special cases of CKVs.
Classification of some classes of spacetimes on the basis of CKVs give
interesting results showing how homothetic and Killing vectors which form
subsets of the set of CKVs can be recovered as a result of the above
classification.


title: A cache-friendly truncated FFT

abstract:
  We describe a cache-friendly version of van der Hoeven's truncated FFT and
inverse truncated FFT, focusing on the case of `large' coefficients, such as
those arising in the Schonhage--Strassen algorithm for multiplication in Z[x].
We describe two implementations and examine their performance.


title:
Evidence for the production of thermal muon pairs with masses above 1
  GeV/c^2 in 158A GeV Indium-Indium Collisions

abstract:
  The yield of muon pairs in the invariant mass region 1<M<2.5 GeV/c^2 produced
in heavy-ion collisions significantly exceeds the sum of the two expected
contributions, Drell-Yan dimuons and muon pairs from the decays of D meson
pairs. These sources properly account for the dimuons produced in
proton-nucleus collisions. In this paper, we show that dimuons are also
produced in excess in 158 A GeV In-In collisions. We furthermore observe, by
tagging the dimuon vertices, that this excess is not due to enhanced D meson
production, but made of prompt muon pairs, as expected from a source of thermal
dimuons specific to high-energy nucleus-nucleus collisions. The yield of this
excess increases significantly from peripheral to central collisions, both with
respect to the Drell-Yan yield and to the number of nucleons participating in
the collisions. Furthermore, the transverse mass distributions of the excess
dimuons are well described by an exponential function, with inverse slope
values around 190 MeV. The values are independent of mass and significantly
lower than those found at masses below 1 GeV/c^2, rising there up to 250 MeV
due to radial flow. This suggests the emission source of thermal dimuons above
1 GeV/c^2 to be of largely partonic origin, when radial flow has not yet built
up.


title:
Irreducibility of the Lawrence-Krammer representation of the BMW algebra
  of type $A_{n-1}$

abstract:
  It is known that the Lawrence-Krammer representation of the Artin group of
type $A_{n-1}$ based on the two parameters $t$ and $q$ that was used by Krammer
and independently by Bigelow to show the linearity of the braid group on $n$
strands is generically irreducible. Here, we recover this result and show
further that for some complex specializations of the parameters the
representation is reducible. We give all the values of the parameters for which
the representation is reducible as well as the dimensions of the invariant
subspaces. We deduce some results of semisimplicity of the
Birman-Murakami-Wenzl algebra of type $A_{n-1}$.


title:
Ferromagnetic Spin Coupling as the Origin of 0.7 Anomaly in Quantum
  Point Contacts

abstract:
  We study one-dimensional itinerant electron models with ferromagnetic
coupling to investigate the origin of 0.7 anomaly in quantum point contacts.
Linear conductance calculations from the quantum Monte Carlo technique for spin
interactions of different spatial range suggest that $0.7(2e^{2}/h)$ anomaly
results from a strong interaction of low-density conduction electrons to
ferromagnetic fluctuations formed across the potential barrier. The conductance
plateau appears due to the strong incoherent scattering at high temperature
when the electron traversal time matches the time scale of dynamic
ferromagnetic excitations.


title:
Adaptive control of CO$_2$ bending vibration: deciphering field-system
  dynamics

abstract:
  We combined adaptive closed-loop optimization, phase-shaping with a
restricted search space and imaging to control dynamics and decipher the
optimal pulse. The approach was applied to controlling the amplitude of CO$_2$
bending vibration during strong-field Coulomb explosion. The search space was
constrained by expressing the spectral phase as a Taylor series, which
generated pulses with characteristics commensurate with the natural physical
features of this problem. Optimal pulses were obtained that enhanced bending by
up to 56% relative to what is observed with comparably intense, transform
limited pulses. We show that (1) this judicious choice of a reduced parameter
set made unwrapping the dynamics more transparent and (2) the enhancement is
consistent with field-induced structural changes to a bent excited state of
CO$_2^{2+}$, which theoretical simulations have identified as the state from
which the explosion originates.


title: Hadronic Event-Shape Variables at CMS

abstract:
  In this note a study of hadronic event shapes in QCD events at the Large
Hadron Collider (LHC) is presented. Calorimetric jet momenta, determined by
various jet clustering algorithms, are used as input for calculating various
event-shape variables which probe the structure of the hadronic final state. It
is shown that the normalized event-shape distributions are robust under
variations of the jet energy scale and resolution effects, which makes them
particularly suitable for early data analysis and tuning of Monte Carlo models.


title:
Explicit combinatorial interpretation of Kerov character polynomials as
  numbers of permutation factorizations

abstract:
  We find an explicit combinatorial interpretation of the coefficients of Kerov
character polynomials which express the value of normalized irreducible
characters of the symmetric groups S(n) in terms of free cumulants R_2,R_3,...
of the corresponding Young diagram. Our interpretation is based on counting
certain factorizations of a given permutation.


title: Prospects for non-standard SUSY searches at LHC

abstract:
  New studies of the ATLAS and CMS collaborations are presented on the
sensitivity to searches for non-standard signatures of particular SUSY
scenarios. These signatures include non-pointing photons, as well as pairs of
prompt photons, as expected in GMSB SUSY models, as well as heavy stable
charged particles produced in split supersymmetry models, long lived staus from
GMSB SUSY and long lived stops in other SUSY scenarios. A detailed detector
simulation is used for the study, and all relevant Standard Model backgrounds
and detector effects that can mimic these special signatures are included. It
is shown that already with less than 100 pb$^{-1}$ the ATLAS and CMS
sensitivity will probe an interesting as yet by data unexplored parameter range
of these models.


title: Realization schemes for quantum instruments in finite dimensions

abstract:
  We present a general dilation scheme for quantum instruments with continuous
outcome space in finite dimensions, in terms of an indirect POVM measurement
performed on a finite dimensional ancilla. The general result is then applied
to a large class of instruments generated by operator frames, which contains
group-covariant instruments as a particular case, and allows to construct
dilation schemes based on a measurement on the ancilla followed by a
conditional feed-forward operation on the output. In the case of tight operator
frames our construction generalizes quantum teleportation and telecloning,
producing a whole family of generalized teleportation schemes in which the
instrument is realized via a joint POVM at the sender combined with a
conditional feed-forward operation at the receiver.


title: Closed classes of functions, generalized constraints and clusters

abstract:
  Classes of functions of several variables on arbitrary non-empty domains that
are closed under permutation of variables and addition of dummy variables are
characterized in terms of generalized constraints, and hereby Hellerstein's
Galois theory of functions and generalized constraints is extended to infinite
domains. Furthermore, classes of operations on arbitrary non-empty domains that
are closed under permutation of variables, addition of dummy variables and
composition are characterized in terms of clusters, and a Galois connection is
established between operations and clusters.


title:
First Measurement of the Ratio of Branching Fractions B(Lambda_b to
  Lambda_c mu nu)/B(Lambda_b to Lambda_c pi)

abstract:
  The analysis uses data from an integrated luminosity of approximately 172
pb-1 of ppbar collisions at sqrt(s)=1.96 TeV, collected with the CDF II
detector at the Fermilab Tevatron. The Lambda_b and B0 relative branching
fractions are measured to be: B(Lambda_b to Lambda_c+ mu nu)/B(Lambda_b to
Lambda_c+ pi) = 16.6 +- 3.0 (stat) +- 1.0 (syst) +2.6 -3.4 (PDG) +- 0.3 (EBR),
B(B0 to D+ mu nu)/B(B0 to D+ pi) = 9.9 +- 1.0 (stat) +- 0.6 (syst) +- 0.4 (PDG)
+- 0.5 (EBR), B(B0 to D*+ mu nu)/B(B0 to D*+ pi) = 16.5 +- 2.3 (stat) +- 0.6
(syst) +- 0.5 (PDG) +- 0.8 (EBR) This article also presents measurements of the
branching fractions of four new Lambda_b semileptonic decays: Lambda_b to
Lambda_c(2595)+ mu nu, Lambda_b to Lambda_c(2625)+ mu nu, Lambda_b to
Sigma_c(2455)0 pi mu nu, Lambda_b to Sigma_c(2455)++ pi mu nu, relative to the
branching fraction of the Lambda_b to Lambda_c mu nu decay. Finally, the
transverse-momentum distribution of Lambda_b baryons produced in p-pbar
collisions is measured and found to be significantly different from that of B0
mesons.


title:
Structure, antiferromagnetism and superconductivity of the layered iron
  arsenide NaFeAs

abstract:
  A new layered iron arsenide NaFeAs isostructural with the superconducting
lithium analogue, displays evidence for the coexistence of superconductivity
and magnetic ordering.


title:
Constraining spin-dependent short range interactions using neutron spin
  precession close to a mirror

abstract:
  Spin-dependent short range interactions of free neutrons with matter may be
searched for in various ways. This short note discusses pseudomagnetic
precession of trapped ultracold neutrons in vicinity to bulk matter, which
should be several orders of magnitude more sensitive than any other method
proposed so far.


title:
Analytic Model for the Energy Spectrum of a Graphene Quantum Dot in a
  Perpendicular Magnetic Field

abstract:
  We analytically calculate the energy spectrum of a circular graphene quantum
dot with radius R subjected to a perpendicular magnetic field B by applying the
infinite-mass boundary condition. We can retrieve well-known limits for the
cases R, B going to infinity and B going to zero. Our model is capable of
capturing the essential details of recent experiments. Quantitative agreement
between theory and experiment is limited due to the fact that a circular dot is
not close enough to the experimental geometry, that disorder plays a
significant role, and that interaction effects may be relevant.


title:
Stability of nodal quasiparticles in underdoped YBa2Cu3O6+y probed by
  penetration depth and microwave spectroscopy

abstract:
  High resolution measurements of superfluid density and broadband
quasiparticle conductivity have been used to probe the low energy excitation
spectrum of nodal quasiparticles in underdoped YBCO. Penetration depth is
measured to temperatures as low as 0.05 K. Microwave conductivity is measured
from 0.1 to 20 GHz and is a direct probe of zero-energy quasiparticles. The
data are compared with predictions for a number of theoretical scenarios that
compete with or otherwise modify pure d-wave superconductivity, in particular
commensurate and incommensurate spin and charge density waves; d + i s and d +
i d superconductivity; circulating current phases; and the BCS--BEC crossover.
We conclude that the data are consistent with a pure d-wave state in the
presence of a small amount of strong scattering disorder, and are able to rule
out most candidate competing states either completely, or to a level set by the
energy scale of the disorder, ~ 4 K. Commensurate spin and charge density
orders, however, are not expected to alter the nodal spectrum and therefore
cannot be excluded.


title: Precise estimates for the subelliptic heat kernel on H-type groups

abstract:
  We establish precise upper and lower bounds for the subelliptic heat kernel
on nilpotent Lie groups $G$ of H-type. Specifically, we show that there exist
positive constants $C_1$, $C_2$ and a polynomial correction function $Q_t$ on
$G$ such that $$C_1 Q_t e^{-\frac{d^2}{4t}} \le p_t \le C_2 Q_t
e^{-\frac{d^2}{4t}}$$ where $p_t$ is the heat kernel, and $d$ the
Carnot-Carath\'eodory distance on $G$. We also obtain similar bounds on the
norm of its subelliptic gradient $|\nabla p_t|$. Along the way, we record
explicit formulas for the distance function $d$ and the subriemannian geodesics
of H-type groups.


title:
Search for MSSM Higgs Boson Production in Di-tau Final States with L=2.2
  fb^-1 at the DO Detector

abstract:
  A search for the production of neutral Higgs bosons decaying into tau
anti-tau final states is presented in p-pbar collisions at a center-of-mass
energy of 1.96 TeV. The integrated luminosity used for the study is about 2.2
fb^-1, collected by the DO Experiment at the Fermilab Tevatron Collider. No
significant excess is observed over the background expectation. The results are
interpreted in the Minimal Supersymmetric Standard Model (MSSM) and regions in
the mA, tan(beta) parameter space for two MSSM benchmark scenarios are
excluded.


title: Non-abelian vortices on compact Riemann surfaces

abstract:
  We consider the vortex equations for a U(n) gauge field coupled to a Higgs
field with values on the n times n square matrices. It is known that when these
equations are defined on a compact Riemann surface, their moduli space of
solutions is closely related to a moduli space of tau-stable holomorphic
n-pairs on that surface. Using this fact and a local factorization result for
the Higgs matrix, we show that the vortex solutions are entirely characterized
by (1) the location in the surface of the zeros of the determinant of the Higgs
matrix and (2) by the choice of a vortex internal structure at each of these
zeros. We describe explicitly the vortex internal spaces and show that they are
compact and connected spaces.


title:
Recent developments in the techniques of controlling and measuring
  suction in unsaturated soils

abstract:
  The difficulty of measuring and controlling suction in unsaturated soils is
one of the reasons why the development of the mechanics of unsaturated soils
has not been as advanced as that of saturated soils. However, significant
developments have been carried out in the last decade in this regard. In this
paper, a re-view of some developments carried out in the techniques of
controlling suction by using the axis translation, the osmotic method and the
vapour control technique is presented. The paper also deals with some recent
de-velopments in the direct measurement of suction by using high capacity
tensiometers and in the measurement of high suction by using high range
psychrometers. The recent progresses made in these techniques have been
significant and will certainly help further experimental investigation of the
hydromechanical behaviour of un-saturated soils.


title:
Comment on "Anomalous temperature dependence of the Casimir force for
  thin metal films" [arXiv:0712.1395]

abstract:
  Recently V. A. Yampol'skii, S. Savel'ev, Z. A. Mayselis, S. S. Apostolov, and
F. Nori [Phys. Rev. Lett., v.101, 096803 (2008),arXiv:0712.1395] claimed that
the Casimir force between a thin metal film described by the Drude model and an
ideal metal semispace can decrease with temperature whereas for bulk samples
the Casimir force increases with temperature. On this basis the experimental
observation of the decreasing temperature dependence of the Casimir force
magnitude between a film and a bulk ideal metal was proposed. We demonstrate
that, contrary to what is claimed by the authors, the magnitude of the Casimir
force decreases with temperature in a wide temperature region for bulk samples
described by the Drude model. This decrease is shown to be much larger than
that for a thin film and it has already been experimentally excluded.


title: The critical number of finite abelian groups

abstract:
  Let G be an additive, finite abelian group. The critical number
$\mathsf{cr}(G)$ of $G$ is the smallest positive integer $\ell$ such that for
every subset $S \subset G \setminus \{0\}$ with $|S| \ge \ell$ the following
holds: Every element of $G$ can be written as a nonempty sum of distinct
elements from $S$. The critical number was first studied by P. Erd\H{o}s and H.
Heilbronn in 1964, and due to the contributions of many authors the value of
$\mathsf {cr}(G)$ is known for all finite abelian groups $G$ except for $G
\cong \mathbb{Z}/pq\mathbb{Z}$ where $p,q$ are primes such that
$p+\lfloor2\sqrt{p-2}\rfloor+1<q<2p$. We determine that $\mathsf {cr}(G)=p+q-2$
for such groups.


title: Weak Error for stable driven SDEs: expansion of the densities

abstract:
  Consider a multidimensional SDE of the form $X_t = x+\int_{0}^{t}
b(X_{s-})ds+\int{0}^{t} f(X_{s-})dZ_s$ where $(Z_s)_{s\ge 0}$ is a symmetric
stable process. Under suitable assumptions on the coefficients the unique
strong solution of the above equation admits a density w.r.t. the Lebesgue
measure and so does its Euler scheme. Using a parametrix approach, we derive an
error expansion at order 1 w.r.t. the time step for the difference of these
densities.


title: A symplectic resolution for the binary tetrahedral group

abstract:
  We describe an explicit symplectic resolution for the quotient singularity
arising from the four-dimensional symplectic represenation of the binary
tetrahedral group.


title:
Optimal Transmission Strategy and Explicit Capacity Region for Broadcast
  Z Channels

abstract:
  This paper provides an explicit expression for the capacity region of the
two-user broadcast Z channel and proves that the optimal boundary can be
achieved by independent encoding of each user. Specifically, the information
messages corresponding to each user are encoded independently and the OR of
these two encoded streams is transmitted. Nonlinear turbo codes that provide a
controlled distribution of ones and zeros are used to demonstrate a
low-complexity scheme that operates close to the optimal boundary.


title: Dynamic Approaches to In-Network Aggregation

abstract:
  Collaboration between small-scale wireless devices hinges on their ability to
infer properties shared across multiple nearby nodes. Wireless-enabled mobile
devices in particular create a highly dynamic environment not conducive to
distributed reasoning about such global properties. This paper addresses a
specific instance of this problem: distributed aggregation. We present
extensions to existing unstructured aggregation protocols that enable
estimation of count, sum, and average aggregates in highly dynamic
environments. With the modified protocols, devices with only limited
connectivity can maintain estimates of the aggregate, despite
\textit{unexpected} peer departures and arrivals. Our analysis of these
aggregate maintenance extensions demonstrates their effectiveness in
unstructured environments despite high levels of node mobility.


title:
Energy considerations for a superlens based on metal/dielectric
  multilayers

abstract:
  We investigate the resolution and absorption losses of a Ag/GaP multilayer
superlens. For a fixed source to image distance the resolution is independent
of the position of the lens but the losses depend strongly on the lens
placement. The absorption losses associated with the evanescent waves can be
significantly larger than losses associated with the propagating waves
especially when the superlens is close to the source. The interpretation of
transmittance values greater than unity for evanescent waves is clarified with
respect to the associated absorption losses.


title: Search for New Physics in the B0s mixing phase at CDF

abstract:
  The Collider Detector at Fermilab (CDF) experiment performed the first
measurement of the time-evolution of flavor-tagged B0s->J/psiphi decays, which
probes mixing-induced CP-violation in the B0s sector. Any sizable deviation
from zero of the phase beta_s, accessible through interference of the bbar\to
cbar c sbar quark-level process accompanied or not by B0s-aB0s mixing, would be
unambiguous indication of physics beyond the Standard Model. I report CDF
results obtained in 1.35/fb, a recent extension to a larger dataset
corresponding to 2.8/fb, and future projections.


title: Jet Analysis in Heavy Ion Collisions in CMS

abstract:
  At the Relativistic Heavy Ion Collider, jets have been a useful tool to probe
the properties of the hot, dense matter created. At the Large Hadron Collider,
collisions of Pb+Pb at $\sqrt{s_{NN}}$ = 5.5 TeV will provide a large cross
section of jets at high $E_T$ above the minimum bias heavy ion background.
Simulations of the Compact Muon Solenoid (CMS) experiment's capability to
measure jets in heavy ion collisions are presented. In particular, $\gamma$-jet
measurements can estimate the amount of energy lost by a jet interacting
strongly with the medium, since the tagged photon passes through unaffected.


title: An Experimental Review of Charmonium

abstract:
  This review briefly outlines recent experimental results from the charmonium
system. These include new measurements of the M1 radiative transition rates
$B(\psi(1S,2S)\to\gamma\eta_c(1S))$; new insights into the mass of the
$\eta_c(1S)$; the observation of $J/\psi(1S)$ decays to three photons; new
measurements of the two-photon widths of the $\chi_{cJ}(1P)$; the observation
of radiative decays of the $\chi_{cj}(1P)$ to light quarks; a precise
measurement of the $h_c(1P)$ mass; and an update on properties of the
$\eta_c(2S)$. Each result adds piecemeal to our understanding of the strong
force.


title: The Combinatorics of Al-Salam-Chihara $q$-Laguerre polynomials

abstract:
  We describe various aspects of the Al-Salam-Chihara $q$-Laguerre polynomials.
These include combinatorial descriptions of the polynomials, the moments, the
orthogonality relation and a combinatorial interpretation of the linearization
coefficients. It is remarkable that the corresponding moment sequence appears
also in the recent work of Postnikov and Williams on enumeration of totally
positive Grassmann cells.


title: Early Annihilation and Diffuse Backgrounds in 1/v WIMP models

abstract:
  Several recent studies have considered modifications to the standard
weakly-interacting massive particle (WIMP) scenario in which the cross section
(times relative velocity v) for pair annihilation is enhanced by a factor 1/v.
Since v~10^{-3} in the Galactic halo, this may boost the annihilation rate into
photons and/or electron-positron pairs enough to explain several puzzling
Galactic radiation signals. Here we show that if the annihilation cross section
scales as 1/v, then there is a burst of WIMP annihilation in the first
dark-matter halos that form at redshifts z ~ 100-200. If the annihilation is to
gamma rays in the energy range 100 keV - 300 GeV, or to electron-positron pairs
in the energy range GeV - 2 TeV, then there remains a contribution to the
diffuse extragalactic gamma-ray background today. Upper limits to this
background provide constraints to the annihilation cross section. If the photon
or electron-positron energies fall outside these energy ranges, then the
radiation is absorbed by the intergalactic medium (IGM) and thus ionizes and
heats the IGM. In this case, cosmic microwave background constraints to the
ionization history also put limits on the annihilation cross section.


title:
Systematic Uncertainties in Black Hole Masses Determined from Single
  Epoch Spectra

abstract:
  We explore the nature of systematic errors that can arise in measurement of
black hole masses from single-epoch spectra of active galactic nuclei (AGNs) by
utilizing the many epochs available for NGC 5548 and PG1229+204 from
reverberation mapping databases. In particular, we examine systematics due to
AGN variability, contamination due to constant spectral components (i.e.,
narrow lines and host galaxy flux), data quality (i.e., signal-to-noise ratio,
S/N), and blending of spectral features by comparing the precision and accuracy
of single-epoch mass measurements to those of recent reverberation mapping
studies. We calculate masses by characterizing the broad Hbeta emission line by
both the full width at half maximum and the line dispersion and demonstrate the
importance of removing narrow emission-line components and host starlight. We
find that the reliability of line width measurements rapidly decreases for S/N
lower than ~10 to 20 (per pixel) and that fitting the line profiles instead of
direct measurement of the data does not mitigate this problem but can, in fact,
introduce systematic errors. We also conclude that a full spectral
decomposition to deblend the AGN and galaxy spectral features is unnecessary
except to judge the contribution of the host galaxy to the luminosity and to
deblend any emission lines that may inhibit accurate line width measurements.
Finally, we present an error budget which summarizes the minimum observable
uncertainties as well as the amount of additional scatter and/or systematic
offset that can be expected from the individual sources of error investigated.
In particular, we find that the minimum observable uncertainty in single-epoch
mass estimates due to variability is <~ 0.1 dex for high S/N (>~ 20 per pixel)
spectra.


title: Inspiralling Supermassive Black Holes: A New Signpost for Galaxy Mergers

abstract:
  We present a new technique for observationally identifying galaxy mergers
spectroscopically rather than through host galaxy imaging. Our technique
exploits the dynamics of supermassive black holes (SMBHs) powering active
galactic nuclei (AGNs) in merger-remnant galaxies. Because structure in the
universe is built up through galaxy mergers and nearly all galaxies host a
central SMBH, some galaxies should possess two SMBHs near their centers as the
result of a recent merger. These SMBHs spiral to the center of the resultant
merger-remnant galaxy, and one or both of the SMBHs may power AGNs. Using the
DEEP2 Galaxy Redshift Survey, we have examined 1881 red galaxies, of which 91
exhibit [O III] and Hbeta emission lines indicative of Seyfert 2 activity. Of
these, 32 AGNs have [O III] emission-line redshifts significantly different
from the redshifts of the host galaxies' stars, corresponding to velocity
offsets of ~50 km/s to ~300 km/s. Two of these AGNs exhibit double-peaked [O
III] emission lines, while the remaining 30 AGNs each exhibit a single set of
velocity-offset [O III] emission lines. After exploring a variety of physical
models for these velocity offsets, we argue that the most likely explanation is
inspiralling SMBHs in merger-remnant galaxies. Based on this interpretation, we
find that roughly half of the red galaxies hosting AGNs are also merger
remnants, which implies that mergers may trigger AGN activity in red galaxies.
The AGN velocity offsets we find imply a merger fraction of ~30% and a merger
rate of ~3 mergers/Gyr for red galaxies at redshifts 0.34 < z < 0.82.


title: Dust Biasing of Damped Lyman Alpha Systems: a Bayesian Analysis

abstract:
  If damped Lyman alpha systems (DLAs) contain even modest amounts of dust, the
ultraviolet luminosity of the background quasar can be severely diminished.
When the spectrum is redshifted, this leads to a bias in optical surveys for
DLAs. Previous estimates of the magnitude of this effect are in some tension;
in particular, the distribution of DLAs in the column-density -- metallicity
plane has led to claims that we may be missing a considerable fraction of metal
rich, high column density DLAs, whereas radio surveys do not unveil a
substantial population of otherwise hidden systems. Motivated by this tension,
we perform a Bayesian parameter estimation analysis of a simple dust
obscuration model. We include radio and optical observations of DLAs in our
overall likelihood analysis and show that these do not, in fact, constitute
conflicting constraints.
  Our model gives statistical limits on the biasing effects of dust, predicting
that only 7% of DLAs are missing from optical samples due to dust obscuration;
at 2 sigma confidence, this figure takes a maximum value of 17%. This contrasts
with recent claims that DLA incidence rates are underestimated by 30 -- 50%.
Optical measures of the mean metallicities of DLAs are found to underestimate
the true value by just 0.1 dex (or at most 0.4 dex, 2 sigma confidence limit),
in agreement with the radio survey results of Akerman et al. The quantity most
affected by dust biasing is the total cosmic density of metals in DLAs,
Omega_{Z,DLA}, which is underestimated in optical surveys by a factor of
approximately two.
  (Abridged.)


title:
Kinematic Properties and Stellar Populations of Faint Early-Type
  Galaxies: II. Line-Strength Measurements of Central Coma Galaxies

abstract:
  We present line-strength measurements for 74 early-type galaxies in the core
of the Coma cluster reaching down to velocity dispersions, sigma, of 30 km/s.
The index-sigma relations for our sample, including galaxies with sigma<100
km/s (low-sigma), differ in shape depending on which index is used. We notice
two types of relations for the metallic indices: one showing a break in the
slope around ~100 km/s, and another group with strong linear relations between
an index and log sigma. We find no connection between the behavior of
index-sigma relations with either alpha- or Fe-peak elements. However, we find
indications that the relations are tighter for indices which do not depend on
the micro-turbulent velocities of stellar atmospheres. We confirm previous
results that low-sigma galaxies including dE/dS0s are on average younger, less
metal rich, and have lower [alpha/Fe] in comparison to E/S0s. Our data show
that these trends derived for high-sigma galaxies extend down to dE/dS0s. This
is a factor of ~2 lower in sigma than previously published work. We confirm
that the observed anti-correlation between age and metallicity for high-sigma
galaxies is consistent with the effects of correlated errors. Low-sigma
galaxies also show a similar relation between age and metallicity as a result
of correlated errors. However, they are offset from this relationship so that,
on average, they are less metal rich and younger than their high-sigma
counterparts.


title: Hypergeometric functions, their epsilon expansions and Feynman diagrams

abstract:
  We review the hypergeometric function approach to Feynman diagrams. Special
consideration is given to the construction of the Laurent expansion. As an
illustration, we describe a collection of physically important one-loop vertex
diagrams for which this approach is useful.


title:
Fourth order full quantum correlations from a Langevin-Schwinger-Dyson
  equation

abstract:
  It is well known that some quantum and statistical fluctuations of a quantum
field may be recovered by adding suitable stochastic sources to the mean field
equations derived from the Schwinger-Keldysh (Closed-time-path) effective
action. In this note we show that this method can be extended to higher
correlations and higher (n-particle irreducible) effective actions. As an
example, we investigate three and fourth order correlations by adding
stochastic sources to the Schwinger - Dyson equations derived from the
2-particle irreducible effective. This method is a simple way to investigate
the nonlinear dynamics of quantum fluctuations.


title: An optimized H_\beta index for disentangling stellar population ages

abstract:
  We have defined a new H_\beta absorption index definition, H$_{\beta_o}$,
which has been optimized as an age indicator for old and intermediate age
stellar populations. Rather than using stellar spectra, we employed for this
purpose a library of stellar population SEDs of different ages and
metallicities at moderately high spectral resolution. H$_{\beta_o}$ provides us
with improved abilities for lifting the age-metallicity degeneracy affecting
the standard Hbeta Lick index definition. The new index, which has also been
optimized against photon noise and velocity dispersion, is fully characterized
with wavelength shift, spectrum shape, dust extinction and [alpha/Fe] abundance
ratio effects. H_\beta requires spectra of similar qualites as those commonly
used for measuring the standard Hbeta Lick index definition. Aiming at
illustrating the use and capabilities of H$_{\beta_o}$ as an age indicator we
apply it to Milky Way globular clusters and to a well selected sample of
early-type galaxies covering a wide range in mass. The results shown here are
particularly useful for applying this index and understand the involved
uncertainties.


title: 2+1 flavor QCD calculation of <x> and <x^2>

abstract:
  We calculate the connected insertions of the nucleon three-point function to
study the first few moments of the unpolarized structure functions of the
nucleon. (The disconnected insertions are discussed elsewhere in these
proceedings). The calculation employs the CP-PACS/JLQCD 2+1 dynamical clover
fermions on a 16^3x32 lattice with lattice spacing a=0.1219 fm. The sequential
source technique, using non-zero and zero momentum point nucleon field as the
secondary source, is applied enabling a study of different currents at various
momentum transfer.


title: On formal codegrees of fusion categories

abstract:
  We prove a general result which implies that the global and Frobenius-Perron
dimensions of a fusion category generate Galois invariant ideals in the ring of
algebraic integers.


title:
Comment on "Thermal Lifshitz force between an atom and a conductor with
  a small density of carriers"

abstract:
  We demonstrate that the generalization of the Lifshitz theory proposed by L.
P. Pitaevskii arXiv:0801.0656 [Phys. Rev. Lett. v.101, 163202 (2008)] violates
the Nernst heat theorem for many dielectric materials and is experimentally
inconsistent.


title:
Comment on "Contribution of drifting carriers to the Casimir-Lifshitz
  and Casimir-Polder interactions with semiconductor materials"

abstract:
  Recently D. A. R. Dalvit and S. K. Lamoreaux arXiv:0805.1676 [Phys. Rev.
Lett. v.101, 163203 (2008)] suggested the modification of the reflection
coefficients in the Lifshitz theory taking into account the screening effects
and diffusion currents. We demonstrate that the suggested modification is
thermodynamically and experimentally inconsistent.


title: Observations of V592 Cas - An Outflow at Optical Wavelengths

abstract:
  We present new red optical spectra of V592 Cas aimed at exploring the
properties of the outflow of this system in a spectral region where the
underlying white dwarf and the accretion disk do not contribute significantly
to the observed absorption components of the H-alpha and HeI line profiles. We
use the H-alpha emission line to study the wind, which appears as pronounced
blueshifted P-Cygni absorption troughs whose low velocity end contaminates the
blue side of the emission line profile. The wind appears to be episodic in
nature, with multiple events reaching velocities of 5000km/sec in H-alpha.
Similar (but weaker) wind signatures appear in the HeI5876AA line but are
absent in HeI6678AA. Our data suggest that during wind episodes the wind is
phase dependent and is visible for half the orbit of the system. Considering
that V592 Cas is viewed almost face-on, the symmetry axis of the outflow can
not be orthogonal to the disk and/or the outflow must have some other inherent
asymmetry in outflow geometry. A possible origin of the wind is in a disk
hotspot, either at the initial impact point of the accretion stream on the disk
edge or as a result of disk overflow (similar to SW Sextantis stars).
Simultaneous optical photometry during one night of our spectroscopic
observations indicate that there is no clear relationship between the optical
brightness variations and the strength of the outflow in this system.


title: Magnetic Phase Diagram of FeAs based superconductors

abstract:
  The recently discovered high-temperature superconductivity in doped
quaternary iron oxypnictides correlates experimentally with a magnetic
instability. We have used first-principles calculations to determine a magnetic
phase diagram of ReO$_{1-\delta}$FeAs (Re=La--Dy) as a function of the doping
$\delta$, of the FeAs in-plane lattice constant $a$, and of the distance
between the Fe and As planes, that is qualitatively consistent with recent
experimental findings on the doping, internal (chemical) and external pressure
dependence. The existence of a tricritical point (TCP) in the phase diagram
suggests new ways of enhancing $T_c$.


title:
Comment on "Application of the Lifshitz theory to poor conductors"
  [arXiv:0809.3901]

abstract:
  Recent Letter by V. B. Svetovoy [Phys. Rev. Lett. v.101, 163603 (2008),
arXiv:0809.3901] claims that the Lifshitz theory combined with spatially
nonlocal dielectric permittivities is consistent with the experimental data and
Nernst's theorem. We prove that these claims are incorrect. They are based on
irregular comparison with the data and misinterpretation of relevant physical
quantities.


title:
Induced cultural globalization by an external vector field in an
  enhanced Axelrod model

abstract:
  A new model is proposed, in the context of Axelrod's model for the study of
cultural dissemination, to include and external vector field (VF) which
describes the effects of mass media on social systems. The VF acts over the
whole system and it is characterized by two parameters: a non-null overlap with
each agent in the society and a confidence value of its information. Beyond a
threshold value of the confidence there is induced monocultural globalization
of the system lined up with the VF. Below this value, the multicultural states
are unstable and certain homogenization of the system is obtained in opposite
line up according to that we have called {\it negative publicity} effect. Three
regimes of behavior for the spread process of the VF information as a function
of time are reported.


title: Creation of Clusters via a Thermal Quench

abstract:
  The nucleation and growth of clusters in a progressively cooled vapor is
studied. The chemical-potential of the vapor increases, resulting in a rapidly
increasing nucleation rate. The growth of the newly created clusters depletes
monomers, and counters the increase in chemical-potential. Eventually, the
chemical potential reaches a maximum and begins to decrease. Shortly thereafter
the nucleation of new clusters effectively ceases. Assuming a slow quench rate,
asymptotic methods are used to convert the non-linear advection equation of the
cluster-size distribution into a fourth-order differential equation, which is
solved numerically. The distribution of cluster-sizes that emerges from this
creation era of the quench process, and the total amount of clusters generated
are found.


title: The nucleus of NGC 253 and its massive stellar clusters at parsec scales

abstract:
  Very Large Telescope adaptive optics images of NGC 253 with resolutions down
to 200 mas resolve the central 300 pc of this galaxy in ~ 37 infrared (IR)
bright knots, a factor of 3 larger than previously reported, and extended
diffuse emission. The angular resolution, comparable to that of available Very
Large Array 2 cm maps, permits us a very accurate IR-radio registration. Eight
radio sources are found to have an IR counterpart. The knots have H\alpha
equivalent width of about 80 angstroms, sizes of ~ 3 pc, magnitudes in L-band
of about 12 mag and relatively high extinction, Av ~ 7 mag. Their spectral
energy distributions (SEDs) look very similar, characterized by a maximum at 20
micron and a gentle bump in the 1 - 2 micron range. These features can be well
reproduced by considering an important contribution of very young stellar
objects to the IR, efficiently heating their dust envelope. The evidence
indicates that these are young massive clusters bursting from their dust
cocoons. A median SED of the knots is provided, which may represent one of the
most genuine templates of an extragalactic circumnuclear star-forming region.
The lack of any optical or IR counterpart for the previously identified radio
core calls into question its supposed active nucleus nature. This source may
instead represent a scaled up version of Sgr A* at the Galactic Centre.


title: Thermalization in open classical systems with finite heat baths

abstract:
  We discuss thermalization of a test particle schematized as a harmonic
oscillator and coupled to a Boltzmann heat bath of finite size and with a
finite bandwidth for the frequencies of its particles. We find that complete
thermalization only occurs when the test particle frequency is within a certain
range of the bath particle frequencies, and for a certain range of mass ratios
between the test particle and the bath particles. These results have
implications for the study of classical and quantum behaviour of high-frequency
nanomechanical resonators.


title: High Energy Sources Observed with OMC

abstract:
  The INTEGRAL Optical Monitoring Camera, OMC, has detected many high energy
sources. We have obtained V-band fluxes and light curves for their
counterparts. In the cases of previously unknown counterparts, we have searched
for characteristic variations in optical sources around the high-energy target
position. Results about the Galactic Bulge Monitoring, INTEGRAL Gamma-Ray
sources (IGR), and other high energy sources are presented.


title: Wick Rotation in the Light-Front

abstract:
  We study the electroweak properties of pseudo-scalar mesons in the light and
heavy-light sectors. In particular, we address the electromagnetic form factors
and decay constants of the pion, kaon and D mesons. The structure of composite
systems are given by the Bethe-Salpeter (BS) amplitude of a meson formed by a
confined pair of constituent quark and antiquark, which in our work is written
in terms of Pauli-Villars regulators. The analytical structure contains single
poles in the complex momentum space. The BS amplitude takes into account poles
due to the regulator parameters, while the quark-antiquark cut is avoided,
implying in confined quarks with the property that the sum of the constituents
masses can be larger than the mass of the meson. The one-loop expressions of
the electroweak transition amplitudes are conveniently written in terms of
light-front momentum. Technically, we introduce a Wick-rotation of he minus
component of the momentum (k-minus) in the one-loop amplitudes allowing to
avoid the cuts in the complex plane of this momentum variable without crossing
them. This is particularly useful as we can study the electroweak properties
with several models of the BS amplitude with different powers of Pauli-Villars
regulators. The possibility to change the power of the BS amplitude is
interesting in order to test the asymptotic behavior of the electromagnetic
form factors searching for a suitable form that incorporates the expected QCD
decaying power-law form. The results are compared with others models in the
literature and with the experimental data.


title: Algebraic Cuntz-Pimsner rings

abstract:
  From a system consisting of a right non-degenerate ring $R$, a pair of
$R$-bimodules $Q$ and $P$ and an $R$-bimodule homomorphism $\psi:P\otimes
Q\longrightarrow R$ we construct a $\Z$-graded ring $\mathcal{T}_{(P,Q,\psi)}$
called the Toeplitz ring and (for certain systems) a $\Z$-graded quotient
$\mathcal{O}_{(P,Q,\psi)}$ of $\mathcal{T}_{(P,Q,\psi)}$ called the
Cuntz-Pimsner ring. These rings are the algebraic analogs of the Toeplitz
$C^*$-algebra and the Cuntz-Pimsner $C^*$-algebra associated to a
$C^*$-correspondence (also called a Hilbert bimodule).
  This new construction generalizes for example the algebraic crossed product
by a single automorphism, corner skew Laurent polynomial ring by a single
corner automorphism and Leavitt path algebras. We also describe the structure
of the graded ideals of our graded rings in terms of pairs of ideals of the
coefficient ring.


title: Vanishing viscosity limit for an expanding domain in space

abstract:
  We study the limiting behavior of viscous incompressible flows when the fluid
domain is allowed to expand as the viscosity vanishes. We describe precise
conditions under which the limiting flow satisfies the full space Euler
equations. The argument is based on truncation and on energy estimates,
following the structure of the proof of Kato's criterion for the vanishing
viscosity limit. This work complements previous work by the authors, see
[Kelliher, Comm. Math. Phys. 278 (2008), 753-773] and [arXiv:0801.4935v1].


title: Observation of Chiral Heat Transport in the Quantum Hall Regime

abstract:
  Heat transport in the quantum Hall regime is investigated using micron-scale
heaters and thermometers positioned along the edge of a millimeter-scale two
dimensional electron system (2DES). The heaters rely on localized current
injection into the 2DES, while the thermometers are based on the thermoelectric
effect. In the $\nu = 1$ integer quantized Hall state, a thermoelectric signal
appears at an edge thermometer only when it is "downstream," in the sense of
electronic edge transport, from the heater. When the distance between the
heater and the thermometer is increased, the thermoelectric signal is reduced,
showing that the electrons cool as they propagate along the edge.


title:
Microwave Photoresistance in dc-driven 2D Systems at Cyclotron Resonance
  Subharmonics

abstract:
  We study microwave photoresistivity oscillations in a high mobility
two-dimensional electron system subject to strong dc electric fields. We find
that near the second subharmonic of the cyclotron resonance the frequency of
the resistivity oscillations with dc electric field is twice the frequency of
the oscillations at the cyclotron resonance, its harmonics, or in the absence
of microwave radiation. This observation is discussed in terms of the
microwave-induced sidebands in the density of states and the interplay between
different scattering processes in the separated Landau level regime.


title: Charmless b-hadrons decays at CDF

abstract:
  We present CDF results on the branching fractions and time-integrated direct
CP asymmetries for Bd, Bs and Lb decay modes into pairs of charmless charged
hadrons (pions, kaons and protons). The data-set for these measurements amounts
to 1fb^{-1} of pbar-p collisions at a center of mass energy 1.96TeV. We report
on the first observation of the Bs->Kpi, Lb-ppi and Lb->pK decay modes and on
the measurement of their branching fractions and direct CP asymmetries.


title: Cohomology of bundles on homological Hopf manifold

abstract:
  We discuss the properties of complex manifolds having rational homology of
$S^1 \times S^{2n-1}$ including those constructed by Hopf, Kodaira and
Brieskorn-van de Ven. We extend certain previously known vanishing properties
of cohomology of bundles on such manifolds.As an application we consider
degeneration of Hodge-deRham spectral sequence in this non Kahler setting.


title: Self-Similar Markov Processes on Cantor Set

abstract:
  We define analogues of Brownian motion on the triadic Cantor set by
introducing a few natural requirements on the Markov semigroup. We give a
detailed description of these symmetric self-similar processes and study their
properties such as mixing and moment asymptotics.


title:
Bismuth in strong magnetic fields: unconventional Zeeman coupling and
  correlation effects

abstract:
  Recent experiments on bismuth have uncovered remarkably rich magnetization
structure at fields well beyond the regime in which all carriers are expected
to reside in the lowest Landau level. Motivated by these findings, we start
from a microscopic tight-binding model and derive a low-energy Hamiltonian for
the holes and three Dirac electrons pockets in bismuth. We find that an
unconventional electron Zeeman effect, overlooked previously, suppresses the
quantum limit for the electrons dramatically, giving rise to the observed
anomalous magnetization structure. We further study interaction effects near
fields at which the 2nd Landau level for one electron pocket empties, where
magnetization hysteresis was observed. Here we find instabilities towards both
charge density wave and Wigner crystal phases, and propose that hysteresis
arises from a first-order transition out of the latter.


title: The fractional Galois ideal for arbitrary order of vanishing

abstract:
  We propose a candidate, which we call the fractional Galois ideal after
Snaith's fractional ideal, for replacing the classical Stickelberger ideal
associated to an abelian extension of number fields. The Stickelberger ideal
can be seen as gathering information about those $L$-functions of the extension
which are non-zero at the special point $s = 0$, and was conjectured by Brumer
to give annihilators of class-groups viewed as Galois modules. An earlier
version of the fractional Galois ideal extended the Stickelberger ideal to
include $L$-functions with a simple zero at $s = 0$, and was shown by the
present author to provide class-group annihilators not existing in the
Stickelberger ideal. The version presented in this article deals with
$L$-functions of arbitrary order of vanishing at $s = 0$, and we give evidence
using results of Popescu and Rubin that it is closely related to the Fitting
ideal of the class-group, a canonical ideal of annihilators. Finally, we prove
an equality involving Stark elements and class-groups originally due to
B\"uy\"ukboduk, but under a slightly different assumption, the advantage being
that we need none of the Kolyvagin system machinery used in the original proof.


title: Dirty Bosons: Twenty Years Later

abstract:
  A concise, somewhat personal, review of the problem of superfluidity and
quantum criticality in regular and disordered interacting Bose systems is
given, concentrating on general features and important symmetries that are
exhibited in different parts of the phase diagram, and that govern the
different possible types of critical behavior. A number of exact results for
various insulating phase boundaries, which may be used to constrain the results
of numerical simulations, can be derived using large rare region type
arguments. The nature of the insulator-superfluid transition is explored
through general scaling arguments, exact model calculations in one dimension,
numerical results in two dimensions, and approximate renormalization group
results in higher dimensions. Experiments on He-4 adsorbed in porous Vycor
glass, on thin film superconductors, and magnetically trapped atomic vapors in
a periodic optical potential, are used to illustrate many of the concepts.


title: Nutational Two-Dimensional Structures in Magnets

abstract:
  New types of magnetic structures in the Heisenberg model are found.
Analytical methods are used to describe spiral structures, spiral vortex
structures, and their interaction. Methods for obtaining these structures in
real systems, including nanomagnets, are discussed.


title:
Evidence against correlations between nuclear decay rates and Earth-Sun
  distance

abstract:
  We have reexamined our previously published data to search for evidence of
correlations between the rates for the alpha, beta-minus, beta-plus, and
electron-capture decays of 22Na, 44Ti, 108Agm, 121Snm, 133Ba, and 241Am and the
Earth-Sun distance. We find no evidence for such correlations and set limits on
the possible amplitudes of such correlations substantially smaller than those
observed in previous experiments.


title: Generating varieties for affine Grassmannians

abstract:
  We study the topological group structure (coming from loop multiplication) on
an affine Grassmannian. In particular, we study finite-dimensional subvarieties
that generate the homology ring. We show that there is a canonical family of
generating Schubert varieties, namely those defined by the negative of the
coroot associated to the highest root. These not only generate the homology,
but generate the affine Grassmannian itself in a precise sense.


title: The General Very Special Relativity in Finsler Cosmology

abstract:
  General Very Special Relativity (GVSR) is the curved space-time of Very
Special Relativity (VSR) proposed by Cohen and Glashow. The geometry of GVSR
possesses a line element of Finsler Geometry proposed by Bogoslovsky. We
calculate the Einstein field equations and derive a modified FRW cosmology, for
an osculating Riemannian space. The Friedman equation of motion leads to an
explanation of the cosmological acceleration in terms of an alternative
non-Lorentz invariant theory. A first order approach for a primordial spurionic
vector field introduced into the metric, gives back an estimation of the energy
evolution and inflation


title:
Spectral properties of the Dirichlet-to-Neumann operator for exterior
  Helmholtz problem and its applications to scattering theory

abstract:
  We prove that the Dirichlet-to-Neumann operator (DtN) has no spectrum in the
lower half of the complex plane. We find several application of this fact in
scattering by obstacles with impedance boundary conditions. In particular, we
find an upper bound for the gradient of the scattering amplitude and for the
total cross section. We justify numerical approximations by providing bounds on
difference between theoretical and approximated solutions without using any a
priory unknown constants.


title: Commissioning ATLAS Trigger

abstract:
  The ATLAS experiment at the Large Hadron Collider (LHC) will face the
challenge of efficiently selecting interesting candidate events in $pp$
collisions at 14 TeV centre-of-mass energy, whilst rejecting the enormous
number of background events. Therefore it is equipped with a three level
trigger system. The first level is is hardware based and uses coarse
granularity calorimeter information and fast readout muon chambers. The second
and third level triggers, which are software based, will need to reduce the
first level trigger output rate of ~ 75 kHz to ~ 200 Hz written out to mass
storage. The progress in commissioning of this system will be reviewed in this
paper.


title:
Correlations between lepton flavour violation at the LHC and type-I
  seesaw parameters in minimal supergravity

abstract:
  The most general supersymmetric seesaw mechanism has too many parameters to
be predictive and thus can not be excluded by any measurements of lepton
flavour violating (LFV) processes. We focus on the simplest version of the
type-I seesaw mechanism assuming minimal supergravity (mSugra) boundary
conditions. We compute branching ratios for the LFV scalar tau decays, ${\tilde
\tau}_2 \to (e,\mu) + \chi^0_1$, as well as loop-induced LFV decays at low
energy, such as $l_i \to l_j + \gamma$ and $l_i \to 3 l_j$, exploring their
sensitivity to the unknown seesaw parameters. We find some simple, extreme
scenarios for the unknown right-handed parameters, where ratios of LFV
branching ratios correlate with neutrino oscillation parameters. If the overall
mass scale of the left neutrinos and the value of the reactor angle were known,
the study of LFV allows, in principle, to extract information about the so far
unknown right-handed neutrino parameters.


title:
Density matrix calculation of optical constants from optical to x-ray
  frequencies

abstract:
  We present a theory of linear optical constants based on a single-particle
density matrix and implemented in an extension of the real-space multiple
scattering code FEFF. This approach avoids the need to compute wave-functions
explicitly, and yields efficient calculations for frequencies ranging from the
IR to hard x-rays, and applicable to arbitrary aperiodic systems. Our approach
is illustrated with calculations of optical properties and applications for
several materials.


title:
Modelling superradiant amplification of Casimir photons in very low
  dissipation cavities

abstract:
  Recent advances in nanotechnology and atomic physics may allow for a
demonstration of the dynamical Casimir effect. An array of film bulk acoustic
resonators (FBARs) coherently driven at twice the resonant frequency of a
high-quality electromagnetic cavity can generate a stationary state of Casimir
photons. These are detected using an alkali atom beam prepared in an inverted
population of hyperfine states, with an induced superradiant burst producing a
detectable radio-frequency signal. We describe here the results of the
simulations of the dynamics of superradiance and superfluorescence, with the
aim to optimize the parameters for the detectability of Casimir photons. When
the superradiant lifetime is shorter than the dissipation time, we find
superradiant evolution to be similar in character but dramatically slower than
in the usual lossy case.


title: Finite Gap Jacobi Matrices, I. The Isospectral Torus

abstract:
  Let $\frak{e}\subset\mathbb{R}$ be a finite union of disjoint closed
intervals. In the study of OPRL with measures whose essential support is
$\frak{e}$, a fundamental role is played by the isospectral torus. In this
paper, we use a covering map formalism to define and study this isospectral
torus. Our goal is to make a coherent presentation of properties and bounds for
this special class as a tool for ourselves and others to study perturbations.
One important result is the expression of Jost functions for the torus in terms
of theta functions.


title:
Density Functional Study of Excess Fe in Fe$_{1+x}$Te: Magnetism and
  Doping

abstract:
  The electronic and magnetic properties of the excess Fe in iron telluride
Fe$_{(1+x)}$Te are investigated by density functional calculations. We find
that the excess Fe occurs with valence near Fe$^{+}$, and therefore provides
electron doping with approximately one carrier per Fe, and furthermore that the
excess Fe is strongly magnetic. Thus it will provide local moments that
interact with the plane Fe magnetism, and these are expected to persist in
phases where the magnetism of the planes is destroyed for example by pressure
or doping. These results are discussed in the context of superconductivity.


title: Schrodinger Operators with Purely Discrete Spectrum

abstract:
  We prove $-\Delta +V$ has purely discrete spectrum if $V\geq 0$ and, for all
$M$, $|\{x\mid V(x)<M\}|<\infty$ and various extensions.


title:
The Dust cloud around the White Dwarf G 29-38. 2. Spectrum from 5-40
  microns and mid-infrared variability

abstract:
  We model the mineralogy and distribution of dust around the white dwarf
G29-39 using the infrared spectrum from 1-35 microns and combining a wide range
of materials based on spectral studies of comets and debris disks. In order of
their contribution to the mid-infrared emission, the most abundant minerals for
G29-38 are amorphous carbon, amorphous and crystalline silicates, water ice,
and metal sulfides. The amorphous C can be equivalently replaced by other
materials (like metallic Fe) with featureless infrared spectra. The
best-fitting crystalline silicate is Fe-rich pyroxene. In order to absorb
enough starlight to power the observed emission, the disk must either be much
thinner than the stellar radius (so that it can be heated from above and below)
or it must have an opening angle wider than 2 degrees. A `moderately optically
thick' torus model with mass 2x10^19 g fits the spectrum well. A physically
thin (less than the white dwarf radius) and optically thick disk can contribute
to the near-infrared continuum only; such a disk cannot explain the
longer-wavelength continuum or strong silicate features. The silicate
composition contains minerals found from cometary spectra and meteorites, but
Fe-rich pyroxene is more abundant than enstatite (Mg-rich pyroxene) or
forsterite (Mg-rich olivine) in G29-38, in contrast to what is found in most
comet or meteorite mineralogies. Enstatite meteorites may be the most similar
solar system materials to the G29-38 dust. Finally, we suggest the surviving
core of a `hot jupiter' as an alternative (neither cometary nor asteroidal)
origin for the debris, though further theoretical work is needed to determine
if this hypothesis is viable.


title:
Bulk Universality and Clock Spacing of Zeros for Ergodic Jacobi Matrices
  with A.C. Spectrum

abstract:
  By combining some ideas of Lubinsky with some soft analysis, we prove that
universality and clock behavior of zeros for OPRL in the a.c. spectral region
is implied by convergence of $\frac{1}{n} K_n(x,x)$ for the diagonal CD kernel
and boundedness of the analog associated to second kind polynomials. We then
show that these hypotheses are always valid for ergodic Jacobi matrices with
a.c. spectrum and prove that the limit of $\frac{1}{n} K_n(x,x)$ is
$\rho_\infty(x)/w(x)$ where $\rho_\infty$ is the density of zeros and $w$ is
the a.c. weight of the spectral measure.


title: A model of Hall reconnection

abstract:
  The rate of quasi-stationary, two-dimensional magnetic reconnection is
calculated in the framework of incompressible Hall magnetohydrodynamics (MHD).
The calculation is based on the solution of Hall-MHD equations that include
Hall and electron pressure terms for electric current. These equations are
solved in a local region across the reconnection electron layer, including only
the upstream region and the layer center. In the case when the ion inertial
length d_i is larger than the Sweet-Parker reconnection layer thickness, the
dimensionless reconnection rate is found to be independent of the electrical
resistivity and equal to d_i/L, where L is the scale length of the external
magnetic field in the upstream region outside the electron layer.


title:
Central Limit Theorems for the Energy Density in the
  Sherrington-Kirkpatrick Model

abstract:
  In this paper we consider central limit theorems for various macroscopic
observables in the high temperature region of the Sherrington-Kirkpatrick spin
glass model. With a particular focus on obtaining a quenched central limit
theorem for the energy density of the system with non-zero external field, we
show how to combine the mean field cavity method with Stein's method in the
quenched regime. The result for the energy density extends the corresponding
result of Comets-Neveu.


title: Topological network alignment uncovers biological function and phylogeny

abstract:
  Sequence comparison and alignment has had an enormous impact on our
understanding of evolution, biology, and disease. Comparison and alignment of
biological networks will likely have a similar impact. Existing network
alignments use information external to the networks, such as sequence, because
no good algorithm for purely topological alignment has yet been devised. In
this paper, we present a novel algorithm based solely on network topology, that
can be used to align any two networks. We apply it to biological networks to
produce by far the most complete topological alignments of biological networks
to date. We demonstrate that both species phylogeny and detailed biological
function of individual proteins can be extracted from our alignments.
Topology-based alignments have the potential to provide a completely new,
independent source of phylogenetic information. Our alignment of the
protein-protein interaction networks of two very different species--yeast and
human--indicate that even distant species share a surprising amount of network
topology with each other, suggesting broad similarities in internal cellular
wiring across all life on Earth.


title: The KATRIN Neutrino Mass Experiment

abstract:
  The KArlsruhe TRItium Neutrino experiment (KATRIN) aims to measure the mass
of electron neutrinos from beta-decay of tritium with an unprecedented
sensitivity of 0.2 eV/c^2 improving present limits by one order of magnitude.
The decay electrons will originate from a 10 m long windowless, gaseous tritium
source. Super-conducting magnets guide the electrons through differential and
cryogenic pumping sections to the electro-static tandem spectrometer
(MAC-E-filter), where the kinetic energy will be measured. The experiment is
presently being built at the Forschungszentrum Karlsruhe by an international
collaboration of more than 120 scientists. The largest component, the 1240 m^3
main spectrometer, was delivered end of 2006 and first commissioning tests have
been performed. This presentation describes the goals and technological
challenges of the experiment and reports on the progress in commissioning first
major components. The start of first measurements is expected in 2012.


title:
Anisotropic flow background to jet-correlation relative to reaction
  plane: A revisit of the mathematical framework

abstract:
  We derive the flow-background formula for jet-correlation analysis with high
pT trigger particles in any azimuth window relative to reaction plane,
extending the mathematic framework of previous study in [J. Bielcikova, et al.,
Phys. Rev. C 69 (2004) 021901(R)].


title: Quantum robot: structure, algorithms and applications

abstract: This paper has been withdrawn.


title: W/Z+jets as signal and background in ATLAS

abstract:
  Events containing W or Z bosons with accompanying jets are important channels
to test the Standard Model. These proceedings discuss W/Z+Jets production cross
section measurements and their use to understand the detectors and their
performances after the LHC start-up. At the same time, these processes are a
major source of background to new physics searches, such as SUSY. Methods,
mostly data-driven, to identify these events as signals and backgrounds to
searches will be presented.


title: Kahler Independence of the G2-MSSM

abstract:
  The G2-MSSM is a model of particle physics coupled to moduli fields with
interesting phenomenology both for colliders and astrophysical experiments. In
this paper we consider a more general model - whose moduli Kahler potential is
a completely arbitrary G2-holonomy Kahler potential and whose matter Kahler
potential is also more general. We prove that the vacuum structure and spectrum
of BSM particles is largely unchanged in this much more general class of
theories. In particular, gaugino masses are still supressed relative to the
gravitino mass and moduli masses. We also consider the effects of higher order
corrections to the matter Kahler potential and find a connection between the
nature of the LSP and flavor effects.


title: A Singular Value Thresholding Algorithm for Matrix Completion

abstract:
  This paper introduces a novel algorithm to approximate the matrix with
minimum nuclear norm among all matrices obeying a set of convex constraints.
This problem may be understood as the convex relaxation of a rank minimization
problem, and arises in many important applications as in the task of recovering
a large matrix from a small subset of its entries (the famous Netflix problem).
Off-the-shelf algorithms such as interior point methods are not directly
amenable to large problems of this kind with over a million unknown entries.
  This paper develops a simple first-order and easy-to-implement algorithm that
is extremely efficient at addressing problems in which the optimal solution has
low rank. The algorithm is iterative and produces a sequence of matrices (X^k,
Y^k) and at each step, mainly performs a soft-thresholding operation on the
singular values of the matrix Y^k. There are two remarkable features making
this attractive for low-rank matrix completion problems. The first is that the
soft-thresholding operation is applied to a sparse matrix; the second is that
the rank of the iterates X^k is empirically nondecreasing. Both these facts
allow the algorithm to make use of very minimal storage space and keep the
computational cost of each iteration low. We provide numerical examples in
which 1,000 by 1,000 matrices are recovered in less than a minute on a modest
desktop computer. We also demonstrate that our approach is amenable to very
large scale problems by recovering matrices of rank about 10 with nearly a
billion unknowns from just about 0.4% of their sampled entries. Our methods are
connected with linearized Bregman iterations for l1 minimization, and we
develop a framework in which one can understand these algorithms in terms of
well-known Lagrange multiplier algorithms.


title: WTC solutions to a generalized nonlinear Schr\"odinger equation

abstract:
  A generalized nonlinear Schr\"odinger equation admits WTC formal solutions as
was shown by Clarkson. We show that they are convergent and determine
real-analytic solutions near a noncharacteristic, movable singularity manifold.


title:
Three-body recombination in a three-state Fermi gas with widely tunable
  interactions

abstract:
  We investigate the stability of a three spin state mixture of ultracold
fermionic $^6$Li atoms over a range of magnetic fields encompassing three
Feshbach resonances. For most field values, we attribute decay of the atomic
population to three-body processes involving one atom from each spin state and
find that the three-body loss coefficient varies by over four orders of
magnitude. We observe high stability when at least two of the three scattering
lengths are small, rapid loss near the Feshbach resonances, and two unexpected
resonant loss features. At our highest fields, where all pairwise scattering
lengths are approaching $a_t = -2140 a_0$, we measure a three-body loss
coefficient $L_3 \simeq 5\times 10^{-22} \mathrm{cm}^6/\mathrm{s}$ and a trend
toward lower decay rates for higher fields indicating that future studies of
color superfluidity and trion formation in a SU(3) symmetric Fermi gas may be
feasible.


title:
Kolmogorov stochasticity parameter measuring the randomness in Cosmic
  Microwave Background

abstract:
  The Kolmogorov stochasticity parameter (KSP) is applied to quantify the
degree of randomness (stochasticity) in the temperature maps of the Cosmic
Microwave Background radiation maps. It is shown that, the KSP for the WMAP5
maps is about twice higher than that of the simulated maps for the concordance
\LambdaCDM cosmological model, implying the existence of a randomizing effect
not taken into account in the model. As was revealed recently, underdense
regions in the large scale matter distributions, i.e the voids, possess
hyperbolic and hence randomizing properties. The degree of randomness for the
Cold Spot appears to be about twice higher than the average over the mean
temperature level spots in the sky, which supports the void nature of the Cold
Spot. Kolmogorov's parameter then acts as a quantitative tracer of the voids
via CMB.


title:
Effect of intrinsic instability of cantilevers on static mode Atomic
  Force Spectroscopy

abstract:
  We show that the static force spectroscopy curve is significantly modified
due to presence of intrinsic cantilever instability. This instability acts in
tandem with such instabilities like water bridge or molecular bond rupture and
makes the static force spectroscopy curve (including "jump-off-contact")
dependent on the step-size of the movement of sample stage. A model has been
proposed to explain the data. This has been further validated by applying an
electric field between tip and substrate which modifies the tip-substrate
interaction.


title: Non-standard kinetic term as a natural source of non-Gaussianity

abstract:
  We consider reheating after inflation with a non-standard kinetic term. We
show that the difference in the kinetic term in different Hubble patches
inherited from the long-wavelength moduli inhomogeneities may generate a
significant level of non-Gaussianity after inflation.


title:
Elastic theory for the vortex-lattice melting in iron-based high-Tc
  superconductors

abstract:
  The vortex-lattice melting transitions in two typical iron-based high-Tc
superconductor $Ba(Fe_{1-x}Co_{x})_{2}As_{2}$ (122-type)
and$Nd(O_{1-x}F_{x})FeAs$ (1111-type) for magnetic fields both parallel and
perpendicular to the anisotropy axis are studied within the elastic theory.
Using the parameters from experiments, the vortex-lattice melting lines in the
H-T diagram are located systematically by various groups of Lindemann numbers.
It is observed that the theoretical result for the vortex melting on
$Ba(Fe_{1-x}Co_{x})_{2}As_{2}$ for parallel fields agrees well the recent
experimental data. The future experimental results for the vortex melting can
be compared with the present theoretical prediction by tuning reasonable
Lindemann numbers.


title:
A symplectic subgroup of a pseudounitary group as a subset of Clifford
  algebra

abstract:
  Let Cl1(1,3) and Cl2(1,3) be the subsets of elements of the Clifford algebra
Cl(1,3) of ranks 1 and 2 respectively. Recently it was proved that the subset
Cl2(p,q)+iCl1(p,q) of the complex Clifford algebra can be considered as a Lie
algebra. In this paper we prove that for p=1, q=3 the Lie algebra
Cl2(p,q)+iCl1(p,q) is isomorphic to the well known matrix Lie algebra sp(4,R)
of the symplectic Lie group Sp(4,R). Also we define the so called symplectic
group of Clifford algebra and prove that this Lie group is isomprphic to the
symplectic matrix group Sp(4,R).


title: A static theory of promises

abstract:
  We discuss for the concept of promises within a framework that can be applied
to either humans or technology. We compare promises to the more established
notion of obligations and find promises to be both simpler and more effective
at reducing uncertainty in behavioural outcomes.


title:
State estimation for dynamical system described by linear equation with
  uncertainty

abstract:
  In this paper we investigate a problem of state estimation for the dynamical
system described by the linear operator equation with unknown parameters in
Hilbert space. We present explicit expressions for linear minimax estimation
and error provided that any pair of uncertain parameters belongs to the
quadratic bounding set. As an application of the main result we present the
solution of minimax estimation problem for the linear descriptor differential
equation with constant matrices.


title: Correspondence between Holographic and Gauss-Bonnet dark energy models

abstract:
  In the present work we investigate the cosmological implications of
holographic dark energy density in the Gauss-Bonnet framework. By formulating
independently the two cosmological scenarios, and by enforcing their
simultaneous validity, we show that there is a correspondence between the
holographic dark energy scenario in flat universe and the phantom dark energy
model in the framework of Gauss-Bonnet theory with a potential. This
correspondence leads consistently to an accelerating universe. However, in
general one has not full freedom of constructing independently the two
cosmological scenarios. Specific constraints must be imposed on the coupling
with gravity and on the potential.


title:
Controllability of 3D incompressible Euler equations by a
  finite-dimensional external force

abstract:
  In this paper, we study the control system associated with the incompressible
3D Euler system. We show that the velocity field and pressure of the fluid are
exactly controllable in projections by the same finite-dimensional control.
Moreover, the velocity is approximately controllable. We also prove that 3D
Euler system is not exactly controllable by a finite-dimensional external
force.


title: A comment to: On 3-colorable planar graphs without short cycles

abstract:
  Let G be a graph. It was proved that if G is a planar graph without {4, 6,
7}-cycles and without two 5-cycles sharing exactly one edge, then G
3-colorable. We observed that the proof of this result is not correct.


title: Abstract Geometric Algebra. Orthogonal and Symplectic Geometries

abstract:
  Our main interest in this paper is chiefly concerned with the conditions
characterizing \textit{orthogonal and symplectic abstract differential
geometries}. A detailed account about the sheaf-theoretic version of the
\textit{symplectic Gram-Schmidt theorem} and of the \textit{Witt's theorem} is
also given.


title: The Lie algebroid Poisson sigma model

abstract:
  The Poisson--Weil sigma model, worked out by us recently, stems from gauging
a Hamiltonian Lie group symmetry of the target space of the Poisson sigma
model. Upon gauge fixing of the BV master action, it yields interesting
topological field theories such as the 2--dimensional Donaldson-Witten
topological gauge theory and the gauged A topological sigma model. In this
paper, generalizing the above construction, we construct the Lie algebroid
Poisson sigma model. This is yielded by gauging a Hamiltonian Lie groupoid
symmetry of the Poisson sigma model target space. We use the BV quantization
approach in the AKSZ geometrical version to ensure consistent quantization and
target space covariance. The model has an extremely rich geometry and an
intricate BV cohomology, which are studied in detail.


title: Rare B decays with leptons at Belle

abstract:
  We present a new measurement of the purely leptonic decay B- -> tau-
nu_tau-bar with a semileptonic B tagging method, using a data sample containing
657*10^6 BB-bar pairs collected with the Belle detector at the KEKB asymmetric
e+e- collider. A sample of BB-bar pairs are tagged by reconstructing one B
meson decaying semileptonically. We detect the B- -> tau- nu_tau-bar candidate
in the recoil. We obtain a signal with a significance of 3.8 standard
deviations including systematics, and measure the branching fraction to be B(B-
-> tau- nu_tau-bar) = 1.65+0.38-0.37(stat)+0.35-0.37(syst))*10^-4. This result
confirms the evidence for B- -> tau- nu_tau-bar obtained in the previous Belle
measurement with a hadronic B tagging method. The B meson decay constant f_B
and constraint on charged Higgs are obtained using the measured branching
fraction.


title:
Extended Recursion in Operator Space (EROS), a new impurity solver for
  the single impurity Anderson model

abstract:
  We have developed a new efficient and accurate impurity solver for the single
impurity Anderson model (SIAM), which is based on a non-perturbative recursion
technique in a space of operators and involves expanding the self-energy as a
continued fraction. The method has no special occupation number or temperature
restrictions; the only approximation is the number of levels of the continued
fraction retained in the expansion. We also show how this approach can be used
as a new approach to Dynamical Mean Field Theory (DMTF) and illustrate this
with the Hubbard model. The three lowest orders of recursion give the
Hartree-Fock, Hubbard I, and Hubbard III approximations. A higher level of
recursion is able to reproduce the expected 3-peak structure in the spectral
function and Fermi liquid behavior.


title:
The Vacuum Structure, Special Relativity and Quantum Mechanics
  Revisited: a Field Theory No-Geometry Approach within the Lagrangian and
  Hamiltonian Formalisms. Part 2

abstract:
  The main fundamental principles characterizing the vacuum field structure are
formulated and the modeling of the related vacuum medium and charged point
particle dynamics by means of devised field theoretic tools are analyzed. The
work is devoted to studying the vacuum structure, special relativity,
electrodynamics of interacting charged point particles and quantum mechanics,
and is a continuation of \cite{BPT,BRT1}. Based on the vacuum field theory
no-geometry approach, the Lagrangian and Hamiltonian reformulation of some
alternative classical electrodynamics models is devised. The Dirac type
quantization procedure, based on the canonical Hamiltonian formulation, is
developed for some alternative electrodynamics models. Within an approach
developed a possibility of the combined description both of electrodynamics and
gravity is analyzed.


title:
Multi-Frequency Synthesis of VLBI Images Using a Generalized Maximum
  Entropy Method

abstract:
  A new multi-frequency synthesis algorithm for reconstructing images from
multi-frequency VLBI data is proposed. The algorithm is based on a generalized
maximum-entropy method, and makes it possible to derive an effective spectral
correction for images over a broad frequency bandwidth, while simultaneously
reconstructing the spectral-index distribution over the source. The results of
numerical simulations demonstrating the capabilities of the algorithm are
presented.


title:
Set-membership state estimation framework for uncertain linear
  differential-algebraic equations

abstract:
  We investigate a state estimation problem for the dynamical system described
by uncertain linear operator equation in Hilbert space. The uncertainty is
supposed to admit a set-membership description. We present explicit expressions
for linear minimax estimation and error provided that any pair of uncertain
parameters belongs to the quadratic bounding set. We introduce a new notion of
minimax directional observability and index of non-causality for linear
noncausal DAEs. Application of these notions to the state estimation problem
for linear uncertain noncausal DAEs allows to derive new minimax recursive
estimator for both continuous and discrete time. We illustrate the benefits of
non-causality of the plant applying our approach to scalar nonlinear
set-membership state estimation problem. Numerical example is presented.


title: Closed Weingarten hypersurfaces in warped product manifolds

abstract:
  Given a compact Riemannian manifold $M$, we consider a warped product $\bar M
= I \times_h M$ where $I$ is an open interval in $\Rr$. We suppose that the
mean curvature of the fibers do not change sign. Given a positive
differentiable function $\psi$ in $\bar M$, we find a closed hypersurface
$\Sigma$ which is solution of an equation of the form $F(B)=\psi$, where $B$ is
the second fundamental form of $\Sigma$ and $F$ is a function satisfying
certain structural properties. As examples, we may exhibit examples of
hypersurfaces with prescribed higher order mean curvature.


title: Existence of isometric immersions into nilpotent Lie groups

abstract:
  We establish necessary and sufficient conditions for existence of isometric
immersions of a simply connected Riemannian manifold into a two-step nilpotent
Lie group. This comprises the case of immersions into $H$-type groups.


title: The Avrunin-Scott theorem for quantum complete intersections

abstract:
  We prove the Avrunin-Scott theorem for quantum complete intersections; the
rank variety of a module is isomorphic to its support variety.


title:
Precision charmonium and D physics from lattice QCD and determination of
  the charm quark mass

abstract:
  I will describe recent results from the HPQCD collaboration using a new very
accurate method for charm quarks in lattice QCD, that we have used in
calculations including the full effect of u, d and s sea quarks. Multiple
values of the lattice spacing and of the u, d and s sea quark masses allow us
to extrapolate reliably, with a full error budget, to the real world. This
opens up the field of charm physics to precision lattice QCD tests. So far we
have calculated the D and D_s meson masses to 6 MeV, having fixed the charm
quark mass from the eta_c meson. Our D and D_s decay constants (determined to
2%) make an interesting comparison to CLEO-c results as we await improved
experimental errors. We are also able to determine the charm quark mass to an
accuracy of 1% using charmonium correlators and high-order continuum QCD
perturbation theory. Future calculations are briefly discussed.


title:
Lowest order constrained variational calculation of polarized neutron
  matter at finite temperature

abstract:
  Some properties of the polarized neutron matter at finite temperature has
been studied using the lowest order constrained variational (LOCV) method with
the $AV_{18}$ potential. Our results indicate that spontaneous transition to
the ferromagnetic phase does not occur. Effective mass, free energy, magnetic
susceptibility, entropy and the equation of state of the polarized neutron
matter at finite temperature are also calculated. A comparison is also made
between our results and those of other many-body techniques.


title: Interaction of massive stars with their surroundings

abstract:
  Due to their short lifetimes but their enormous energy release in all stages
of their lives massive stars are the major engines for the comic matter
circuit. They affect not only their close environment but are also responsible
to drive mass flows on galactic scales. Recent 2D models of radiation-driven
and wind-blown HII regions are summarized which explore the impact of massive
stars to the interstellar medium but find surprisingly small energy transfer
efficiencies while an observable Carbon self-enrichment in the Wolf-Rayet phase
is detected in the warm ionized gas. Finally, the focus is set on
state-of-the-art modelling of HII regions and its present weaknesses with
respect to uncertainties and simplifications but on a perspective of the
requested art of their modelling in the 21st century.


title: Report from the IUPAP Commission on Particles and Fields (C11)

abstract:
  The Commission 11 (C11) on Particles and Fields of the International Union of
Pure and Applied Physics (IUPAP) supervises the organization of the main
conferences in particle physics. In the period 2007-2008 it has been active in
the oversight and venue selection for the ICHEP and Lepton Photon Conferences,
establishment of the new conference on Technology and Instrumentation in
Particle Physics (TIPP), the selection of the prize winners for the IUPAP Young
Scientist Prize in Particle Physics and the establishment of a working group on
the "Assessment of Individual Achievements in Large Collaborations in Particle
Physics".


title: Mapping Koch curves into scale-free small-world networks

abstract:
  The class of Koch fractals is one of the most interesting families of
fractals, and the study of complex networks is a central issue in the
scientific community. In this paper, inspired by the famous Koch fractals, we
propose a mapping technique converting Koch fractals into a family of
deterministic networks, called Koch networks. This novel class of networks
incorporates some key properties characterizing a majority of real-life
networked systems---a power-law distribution with exponent in the range between
2 and 3, a high clustering coefficient, small diameter and average path length,
and degree correlations. Besides, we enumerate the exact numbers of spanning
trees, spanning forests, and connected spanning subgraphs in the networks. All
these features are obtained exactly according to the proposed generation
algorithm of the networks considered. The network representation approach could
be used to investigate the complexity of some real-world systems from the
perspective of complex networks.

categories: cond-mat.stat-mech math-ph math.MP physics.soc-ph


title:
Revisiting the Real Graviton Effects at CERN LHC within the Quantum
  Gravity Theory with Large Extra Dimensions

abstract:
  CERN LHC provides a good experimental platform to perturbatively probe the
fundamental gravity scale up to several TeV, with the precise value depending
on the number of extra dimensions. The leading experimental signal of graviton
at LHC is from the process $pp\to jet+{E\slash}_T$, where ${E\slash}_T$ stands
for the transverse missing energy. A detailed discussion on the hadronic
production of real graviton through hard subprocesses: $q\bar{q}\to G+g$,
$g+q\to G+q$ and $g+g\to G+g$ have been studied within the quantum gravity
theory with large extra dimensions. The main theoretical uncertainties together
with the dominant standard model background to these processes, e.g.
$q\bar{q}\to Z^0+g$ and $g+q\to Z^0+q$ with $Z^0$ further decaying into
neutrinos, have also been discussed. It is found that only in certain jet
energy region and with certain number of extra dimensions can the quantum
gravity signal be distinguished from the background, which inversely lead to
the effective scale $M_D$ to be probed up to $(8.8\pm 0.9)$ TeV for two extra
dimensions, and $(5.9\pm 0.5)$ TeV for four extra dimensions with sufficient
integrated luminosity, e.g. $100fb^{-1}$, at CERN LHC.


title: Thresholds in FAPT: Euclid vs Minkowski

abstract:
  We give a short introduction to the Analytic Perturbation Theory (APT) in
QCD, describe its problems and suggest as a tool for their resolution the
Fractional APT (FAPT). We also describe shortly how to treat heavy-quark
thresholds in FAPT. As an applications of this technique we discuss (i) the
pion form factor calculation in the Euclidean FAPT and (ii) the Higgs boson
decay $H^0\to b\bar{b}$ in Minkowskian FAPT. We conclude with comparison of
both approaches, Euclidean and Minkowskian FAPT.


title:
Two puzzling problems in explanation of the linear Stark effect of
  hydrogen atom and space quantization of the dipole moment

abstract:
  The linear Stark effect for the first excited state of the hydrogen atom
shows that, in the unperturbed states, the atom has a permanent electric dipole
moment (EDM) of magnitude 3eao (ao is Bohr radius). The EDM is not induce by
the external field but is inherent behavior of the atom. But the calculation of
quantum mechanics tells us that unperturbed states of hydrogen atom have no
EDM! In the effect, two of four states have no energy shift. What are the EDM
of the hydrogen atoms in the two states? Quantum mechanics can not answer the
problem. The statement that the EDM of the two states is perpendicular to the
field only comes from guesses in quantum mechanics. The two problems had
puzzled physicists for more than 80 years. By introducing a new parameter this
article gives a satisfactory explanation for the effect. Our calculation
discovered that, in the unperturbed states, the atoms not only have EDM with
3eao but also can have only three directions of quantization! It is an entirely
unexpected discovery. This research is a vital clue that not all is well with
quantum mechanics. We prophesy that hydrogen-like atoms, such as K, Rb and Cs
atom etc, may have large EDM of the order of magnitude eao in their ground
state (see arXiv:0809.4767, arXiv:0810.0770 and arXiv:0810.2026).


title:
Existence and nonexistence of traveling waves for a nonlocal monostable
  equation

abstract:
  We consider the nonlocal analogue of the Fisher-KPP equation. We do not
assume that the Borel-measure is absolutely continuous with respect to the
Lebesgue measure. We gives a sufficient condition for existence of traveling
waves, and a necessary condition for existence of periodic traveling waves.


title: Homotopy perturbation method: when infinity equals five

abstract:
  I discuss a recent application of homotopy perturbation method to a heat
transfer problem. I show that the authors make infinity equal five and analyze
the consequences of that magic.


title: A scheme for spin transistor with extremely large on/off current ratio

abstract:
  Quantum wires with periodic local Rashba spin-orbit couplings are proposed
for a higher performance of spin field-effect transistor. Fano-Rashba quantum
interference due to the spin-dependent modulated structure gives rise to a
broad energy range of vanishingly small transmission. Tuning Rashba spin-orbit
couplings can provide the on- or off-currents with extremely large on/off
current ratios even in the presence of a strong disorder.