title:
The cosmological co-evolution of supermassive black holes, AGN and
  galaxies

abstract:
  We model the cosmological co-evolution of galaxies and their central
supermassive black holes (BHs) within a semi-analytical framework developed on
the outputs of the Millennium Simulation (Croton et al., 2006; De Lucia &
Blaizot, 2007). In this work, we analyze the model BH scaling relations,
fundamental plane and mass function, and compare them with the most recent
observational data. Furthermore, we extend the original code developed by
Croton et al. (2006) to follow the evolution of the BH mass accretion and its
conversion into radiation, and compare the derived AGN bolometric luminosity
function with the observed one. We find, for the most part, a very good
agreement between predicted and observed BH properties. Moreover, the model is
in good agreement with the observed AGN number density in 0<z<5, provided it is
assumed that the cold gas fraction accreted by BHs at high redshifts is larger
than at low redshifts (Marulli et al., 2008).


title: Equivalent inequalities

abstract: Equivalencies of many basic elementary inequalities are given


title: Phase-field modeling of the discontinuous precipitation reaction

abstract:
  A multi-phase-field model for the description of the discontinuous
precipitation reaction is formulated which takes into account surface diffusion
along grain boundaries and interfaces as well as volume diffusion. Simulations
reveal that the structure and steady-state growth velocity of spatially
periodic precipitation fronts strongly depend on the relative magnitudes of the
diffusion coefficients. Steady-state solutions always exist for a range of
interlamellar spacings that is limited by a fold singularity for low spacings,
and by the onset of tip-splitting or oscillatory instabilities for large
spacings. A detailed analysis of the simulation data reveals that the
hypothesis of local equilibrium at interfaces, used in previous theories, is
not valid for the typical conditions of discontinuous precipitation.


title: Extremal rational elliptic threefolds

abstract:
  We classify nets of quadrics in P^3 which give rise to elliptic fibrations of
Mordell-Weil rank zero.


title:
Interaction of a CO molecule with a Pt monatomic wire: electronic
  structure and ballistic conductance

abstract:
  We carry out a first-principles density functional study of the interaction
between a monatomic Pt wire and a CO molecule, comparing the energy of
different adsorption configurations (bridge, on top, substitutional, and tilted
bridge) and discussing the effects of spin-orbit (SO) coupling on the
electronic structure and on the ballistic conductance of two of these systems
(bridge and substitutional). We find that, when the wire is unstrained, the
bridge configuration is energetically favored, while the substitutional
geometry becomes possible only after the breaking of the Pt-Pt bond next to CO.
The interaction can be described by a donation/back-donation process similar to
that occurring when CO adsorbs on transition-metal surfaces, a picture which
remains valid also in presence of SO coupling. The ballistic conductance of the
(tipless) nanowire is not much reduced by the adsorption of the molecule on the
bridge and on-top sites, but shows a significant drop in the substitutional
case. The differences in the electronic structure due to the SO coupling
influence the transmission only at energies far away from the Fermi level so
that fully- and scalar-relativistic conductances do not differ significantly.


title:
The 4-string Braid group $B_4$ has property RD and exponential
  mesoscopic rank

abstract:
  We prove that the braid group $B_4$ on 4 strings, as well as its central
quotient $B_4/< z>$, have the property RD of Haagerup-Jolissaint. It follows
that the automorphism group $\Aut(F_2)$ of the free group $F_2$ on 2 generators
has property RD. We also prove that the braid group $B_4$ is a group of
intermediate rank (of dimension 3). Namely, we show that both $B_4$ and its
central quotient have exponential mesoscopic rank, i.e., that they contain
exponentially many large flat balls which are not included in flats.


title: Observing dynamical SUSY breaking with lattice simulation

abstract:
  On the basis of the recently developed lattice formulation of supersymmetric
theories which keeps a part of the supersymmetry, we propose a method of
observing dynamical SUSY breaking with lattice simulation. We use Hamiltonian
as an order parameter and measure the ground state energy as a zero temperature
limit of the finite temperature simulation. Our method provides a way of
obtaining a physical result from the lattice simulation for supersymmetric
theories.


title:
The nuclear quadrupole interaction at 111Cd and 181Ta sites in anatase
  and rutile TiO2: A TDPAC study

abstract:
  The nuclear quadrupole interaction of the I=5/2 state of the nuclear probes
111Cd and 181Ta in the anatase and rutile polymorphs of bulk TiO2 was studied
using the time differential perturbed angular correlation (TDPAC). The
fast-slow coincidence setup is based on the CAMAC electronics. For anatase, the
asymmetry of the electric field gradient was eta=0.22(1) and a quadrupole
interaction frequency: 44.01(3) Mrad/s was obtained for 181Ta. For rutile, the
respective values are eta=0.56(1) and quadrupole frequency=130.07(9) Mrad/s.
The values for rutile match closely with the literature values. In case of the
111Cd probe produced from the beta decay of 111Ag, the quadrupole interaction
frequency and the asymmetry parameter for anatase was negligible. This
indicates an unperturbed angular correlation in anatase. On the other hand for
rutile, the quadrupole frequency is 61.74(2) Mrad/s and the asymmetry is
0.23(1) for 111Cd probe. The results have been interpreted in terms of the
surrounding atom positions in the lattice and the charge state of the probe
nucleus.


title: Semi-inclusive processes at low and high transverse momentum

abstract:
  This talk reports on recent work where we studied the connection between the
description of semi-inclusive DIS at high transverse momentum (based on
collinear factorization) and low transverse momentum (based on
transverse-momentum-dependent factorization). We used power counting to
determine the leading behavior of the structure functions at intermediate
transverse momentum in the two descriptions. When the power behaviors are
different, two distinct mechanisms are present and there can be no matching
between them. When the power behavior is the same, the two descriptions must
match. An explicit calculation however shows that for some observables this is
not the case, suggesting that the transverse-momentum-dependent-factorization
description beyond leading twist is incomplete.


title:
Relaxations as key to the magnetocapacitive effects in the perovskite
  manganites

abstract:
  We present a detailed dielectric study of the relaxation effects that occur
in several perovskite rare-earth manganites, including the multiferroics TbMnO3
and DyMnO3. We demonstrate that the strong magnetocapacitive effects, observed
for electrical fields E||c, are nearly completely governed by magnetic-state
induced changes of the relaxation parameters. The multiferroic materials, which
undergo a transition into a spiral magnetic state, show qualitatively different
relaxation behavior than those compounds transferring into an A-type
antiferromagnetic state. We ascribe the relaxations in both cases to the
off-center motion of the manganese ions, which in the multiferroic systems also
leads to the ferroelectric ordering.


title: Search for OB stars running away from young star clusters. I. NGC 6611

abstract:
  N-body simulations have shown that the dynamical decay of the young (~1 Myr)
Orion Nebula cluster could be responsible for the loss of at least half of its
initial content of OB stars. This result suggests that other young stellar
systems could also lose a significant fraction of their massive stars at the
very beginning of their evolution. To confirm this expectation, we used the
Mid-Infrared Galactic Plane Survey (completed by the Midcourse Space Experiment
satellite) to search for bow shocks around a number of young ($\la$ several
Myr) clusters and OB associations. We discovered dozens of bow shocks generated
by OB stars running away from these stellar systems, supporting the idea of
significant dynamical loss of OB stars. In this paper, we report the discovery
of three bow shocks produced by O-type stars ejected from the open cluster
NGC6611 (M16). One of the bow shocks is associated with the O9.5Iab star
HD165319, which was suggested to be one of "the best examples for isolated
Galactic high-mass star formation" (de Wit et al. 2005, A&A, 437, 247).
Possible implications of our results for the origin of field OB stars are
discussed.


title: Smooth Affine Surfaces with Non-Unique C*-Actions

abstract:
  In this paper we complete the classification of effective C*-actions on
smooth affine surfaces up to conjugation in the full automorphism group and up
to inversion of C*. If a smooth affine surface V admits more than one C*-action
then it is known to be Gizatullin i.e., it can be completed by a linear chain
of smooth rational curves. In our previous paper we gave a sufficient
condition, in terms of the Dolgachev- Pinkham-Demazure (or DPD) presentation,
for the uniqueness of a C*-action on a Gizatullin surface. In the present paper
we show that this condition is also necessary, at least in the smooth case. In
fact, if the uniqueness fails for a smooth Gizatullin surface V which is
neither toric nor Danilov-Gizatullin, then V admits a continuous family of
pairwise non-conjugated C*-actions depending on one or two parameters. We give
an explicit description of all such surfaces and their C*-actions in terms of
DPD presentations. We also show that for every k > 0 one can find a Danilov-
Gizatullin surface V (n) of index n = n(k) with a family of pairwise
non-conjugate C+-actions depending on k parameters.


title: Scalar heat kernel with boundary in the worldline formalism

abstract:
  The worldline formalism has in recent years emerged as a powerful tool for
the computation of effective actions and heat kernels. However, implementing
nontrivial boundary conditions in this formalism has turned out to be a
difficult problem. Recently, such a generalization was developed for the case
of a scalar field on the half-space R_+ x R^{D-1}, based on an extension of the
associated worldline path integral to the full R^D using image charges. We
present here an improved version of this formalism which allows us to write
down non-recursive master formulas for the n-point contribution to the heat
kernel trace of a scalar field on the half-space with Dirichlet or Neumann
boundary conditions. These master formulas are suitable to computerization. We
demonstrate the efficiency of the formalism by a calculation of two new
heat-kernel coefficients for the half-space, a_4 and a_{9/2}.


title: Accentuate the negative

abstract: A survey of mean inequalities with real weights is given.


title:
Self-sustained asynchronous irregular states and Up/Down states in
  thalamic, cortical and thalamocortical networks of nonlinear
  integrate-and-fire neurons

abstract:
  Randomly-connected networks of integrate-and-fire (IF) neurons are known to
display asynchronous irregular (AI) activity states, which resemble the
discharge activity recorded in the cerebral cortex of awake animals. However,
it is not clear whether such activity states are specific to simple IF models,
or if they also exist in networks where neurons are endowed with complex
intrinsic properties similar to electrophysiological measurements. Here, we
investigate the occurrence of AI states in networks of nonlinear IF neurons,
such as the adaptive exponential IF (Brette-Gerstner-Izhikevich) model. This
model can display intrinsic properties such as low-threshold spike (LTS),
regular spiking (RS) or fast-spiking (FS). We successively investigate the
oscillatory and AI dynamics of thalamic, cortical and thalamocortical networks
using such models. AI states can be found in each case, sometimes with
surprisingly small network size of the order of a few tens of neurons. We show
that the presence of LTS neurons in cortex or in thalamus, explains the robust
emergence of AI states for relatively small network sizes. Finally, we
investigate the role of spike-frequency adaptation (SFA). In cortical networks
with strong SFA in RS cells, the AI state is transient, but when SFA is
reduced, AI states can be self-sustained for long times. In thalamocortical
networks, AI states are found when the cortex is itself in an AI state, but
with strong SFA, the thalamocortical network displays Up and Down state
transitions, similar to intracellular recordings during slow-wave sleep or
anesthesia. Self-sustained Up and Down states could also be generated by
two-layer cortical networks with LTS cells. These models suggest that intrinsic
properties such as LTS are crucial for AI states in thalamocortical networks.


title:
RHMC simulation of two-dimensional N=(2,2) super Yang-Mills with exact
  supersymmetry

abstract:
  We report our numerical simulation of two-dimensional N=(2,2) super
Yang-Mills. The lattice model we use is one proposed by F.Sugino which keeps
one exact supersymmetry at finite lattice spacing. We use Rational Hybrid Monte
Carlo (RHMC) method to implement the dynamical fermion. We apply the simulation
to measure the ground state energy which is useful to observe dynamical SUSY
breaking.


title:
Characterization of weak convergence of Birkhoff sums for Gibbs-Markov
  maps

abstract:
  We investigate limit theorems for Birkhoff sums of locally H\"older functions
under the iteration of Gibbs-Markov maps. Aaronson and Denker have given
sufficient conditions to have limit theorems in this setting. We show that
these conditions are also necessary: there is no exotic limit theorem for
Gibbs-Markov maps. Our proofs, valid under very weak regularity assumptions,
involve weak perturbation theory and interpolation spaces. For L^2 observables,
we also obtain necessary and sufficient conditions to control the speed of
convergence in the central limit theorem.


title:
Model-Independent Distance Measurements from Gamma-Ray Bursts and
  Constraints on Dark Energy

abstract:
  Gamma-Ray Bursts (GRB) are the most energetic events in the Universe, and
provide a complementary probe of dark energy by allowing the measurement of
cosmic expansion history that extends to redshifts greater than 6. Unlike Type
Ia supernovae (SNe Ia), GRBs must be calibrated for each cosmological model
considered, because of the lack of a nearby sample of GRBs for
model-independent calibration. For a flat Universe with a cosmological
constant, we find Omega_m=0.25^{+0.12}_{-0.11} from 69 GRBs alone. We show that
the current GRB data can be summarized by a set of model-independent distance
measurements, with negligible loss of information. We constrain a dark energy
equation of state linear in the cosmic scale factor using these distance
measurements from GRBs, together with the "Union" compilation of SNe Ia, WMAP
five year observations, and the SDSS baryon acoustic oscillation scale
measurement. We find that a cosmological constant is consistent with current
data at 68% confidence level for a flat Universe. Our results provide a simple
and robust method to incorporate GRB data in a joint analysis of cosmological
data to constrain dark energy.


title:
An interval map with a spectral gap on Lipschitz functions, but not on
  bounded variation functions

abstract:
  We construct a uniformly expanding map of the interval, preserving Lebesgue
measure, such that the corresponding transfer operator admits a spectral gap on
the space of Lipschitz functions, but does not act continuously on the space of
bounded variation functions.


title: Effects and Propositions

abstract:
  The quantum logical and quantum information-theoretic traditions have exerted
an especially powerful influence on Bub's thinking about the conceptual
foundations of quantum mechanics. This paper discusses both the quantum logical
and information-theoretic traditions from the point of view of their
representational frameworks. I argue that it is at this level, at the level of
its framework, that the quantum logical tradition has retained its centrality
to Bub's thought. It is further argued that there is implicit in the quantum
information-theoretic tradition a set of ideas that mark a genuinely new
alternative to the framework of quantum logic. These ideas are of considerable
interest for the philosophy of quantum mechanics, a claim which I defend with
an extended discussion of their application to our understanding of the
philosophical significance of the no hidden variable theorem of Kochen and
Specker.


title: An Alternating l1 approach to the compressed sensing problem

abstract:
  Compressed sensing is a new methodology for constructing sensors which allow
sparse signals to be efficiently recovered using only a small number of
observations. The recovery problem can often be stated as the one of finding
the solution of an underdetermined system of linear equations with the smallest
possible support. The most studied relaxation of this hard combinatorial
problem is the $l_1$-relaxation consisting of searching for solutions with
smallest $l_1$-norm. In this short note, based on the ideas of Lagrangian
duality, we introduce an alternating $l_1$ relaxation for the recovery problem
enjoying higher recovery rates in practice than the plain $l_1$ relaxation and
the recent reweighted $l_1$ method of Cand\`es, Wakin and Boyd.


title: Quantum complex sine-Gordon dressed boundaries

abstract:
  In this paper we investigate the quantum reflection factor for the CSG
dressed boundary, previously constructed by dressing the Dirichlet boundary
with the integrable CSG defect. We analyse classical bound states and use
semi-classical methods to investigate the quantum boundary spectrum. We
conjecture a fully quantum reflection matrix for a particle reflecting from an
unexcited boundary. By using the reflection and boundary bootstrap equations,
the reflection matrix for a charge Q=+n soliton reflecting from the mth excited
boundary is constructed. Evidence supporting our conjecture is given by
checking that the bootstrap closes and that the reflection matrices agrees with
known results in the classical limit. A partial analysis of the poles in the
reflection matrices which arise from Coleman-Thun diagrams is given.


title: Improving Local Search for Fuzzy Scheduling Problems

abstract:
  The integration of fuzzy set theory and fuzzy logic into scheduling is a
rather new aspect with growing importance for manufacturing applications,
resulting in various unsolved aspects. In the current paper, we investigate an
improved local search technique for fuzzy scheduling problems with fitness
plateaus, using a multi criteria formulation of the problem. We especially
address the problem of changing job priorities over time as studied at the
Sherwood Press Ltd, a Nottingham based printing company, who is a collaborator
on the project.


title: Commutative quotients of finite W-algebras

abstract:
  Let U(g,e) be the finite W-algebra associated with a nilpotent element e in a
simple Lie algebra g and assume that e is induced from a nilpotent element e_0
in a Levi subalgebra l of g. We show that if the finite W-algebra U(l,e_0) has
a 1-dimensional representation, then so does U(g,e). For g classical (and in
may other cases), we compute the Krull dimension of the largest commutative
quotient of U(g,e). Some applications to representation theory of modular
counterparts of g are given.


title:
A Non-Oracle Quantum Search Algorithm and Its Experimental
  Implementation

abstract:
  Grover's algorithm has achieved great success. But quantum search algorithms
still are not complete algorithms because of Grover's Oracle. We concerned on
this problem and present a new quantum search algorithm in adiabatic model
without Oracle. We analyze the general difficulties in quantum search
algorithms and show how to solve them in the present algorithm. As well this
algorithm could deal with both single-solution and multi-solution searches
without modification. We also implement this algorithm on NMR quantum computer.
It is the first experiment which perform a real quantum database search rather
than a marked-state search.


title:
Occupation times of branching systems with initial inhomogeneous Poisson
  states and related superprocesses

abstract:
  The $(d,\alpha,\beta,\gamma)$-branching particle system consists of particles
moving in $R^d$ according to a symmetric $\alpha$-stable L\'evy process
$(0<\alpha\leq 2)$, splitting with a critical $(1+\beta)$-branching law
$(0<\beta\leq 1)$, and starting from an inhomogeneous Poisson random measure
with intensity measure $\mu_\gamma(dx)=dx/(1+|x|^\gamma), \gamma\geq 0$. By
means of time rescaling $T$ and Poisson intensity measure $H_T\mu_\gamma$,
occupation time fluctuation limits for the system as $T\to\infty$ have been
obtained in two special cases: Lebesgue measure ($\gamma=0$, the homogeneous
case), and finite measures $(\gamma>d)$. In some cases $H_T\equiv 1$ and in
others $H_T\to\infty$ as $T\to\infty$ (high density systems). The limit
processes are quite different for Lebesgue and for finite measures. Therefore
the question arises of what kinds of limits can be obtained for Poisson
intensity measures that are intermediate between Lebesgue measure and finite
measures. In this paper the measures $\mu_\gamma, \gamma\in (0,d]$, are used
for investigating this question. Occupation time fluctuation limits are
obtained which interpolate in some way between the two previous extreme cases.
The limit processes depend on different arrangements of the parameters
$d,\alpha,\beta,\gamma$. Related results for the corresponding
$(d,\alpha,\beta,\gamma)$-superprocess are also given.


title:
Optical evidence for symmetry changes above the Neel temperature in
  KCuF3

abstract:
  We report on optical measurements of the 1D Heisenberg antiferromagnet KCuF3.
The crystal-field excitations of the Cu2+ ions have been observed and their
temperature dependence can be understood in terms of magnetic and
exchange-induced dipole mechanisms and vibronic interactions. Above T_N we
observe a new temperature scale T_S characterized by the emergence of narrow
absorption features that correlate with changes of the orbital ordering as
observed by Paolasini et al. [Phys. Rev. Lett. 88, 106403 (2002)]. The
appearance of these optical transitions provides evidence for a symmetry change
above the Neel temperature that affects the orbital ordering and paves the way
for the antiferromagnetic ordering.


title: End-monomer dynamics in semiflexible polymers

abstract:
  Spurred by an experimental controversy in the literature, we investigate the
end-monomer dynamics of semiflexible polymers through Brownian hydrodynamic
simulations and dynamic mean-field theory. Precise experimental observations
over the last few years of end-monomer dynamics in the diffusion of
double-stranded DNA have given conflicting results: one study indicated an
unexpected Rouse-like scaling of the mean squared displacement (MSD) r^2(t) ~
t^(1/2) at intermediate times, corresponding to fluctuations at length scales
larger than the persistence length but smaller than the coil size; another
study claimed the more conventional Zimm scaling r^2(t) ~ t^(2/3) in the same
time range. We find a novel intermediate dynamical regime where the effective
local exponent of the end-monomer MSD, alpha(t) = d log r^2(t)/ d log t, drops
below the Zimm value of 2/3 for sufficiently long chains. The deviation from
the Zimm prediction increases with chain length, though it does not reach the
Rouse limit of 1/2. The qualitative features of this intermediate regime, in
particular the variation of alpha(t) with chain and persistence lengths, can be
reproduced through a heuristic scaling argument. Anomalously low values of the
effective exponent alpha are explained by hydrodynamic effects related to the
slow crossover from dynamics on length scales smaller than the persistence
length to dynamics on larger length scales.


title: Astrophysical tests of mirror dark matter

abstract:
  Mirror matter is a self-collisional dark matter candidate. If exact mirror
parity is a conserved symmetry of the nature, there could exist a parallel
hidden (mirror) sector of the Universe which has the same kind of particles and
the same physical laws of our (visible) sector. The two sectors interact each
other only via gravity, therefore mirror matter is naturally "dark". The most
promising way to test this dark matter candidate is to look at its
astrophysical signatures, as Big Bang nucleosynthesis, primordial structure
formation and evolution, cosmic microwave background and large scale structure
power spectra.


title: Centrality properties of directed module members in social networks

abstract:
  Several recent studies of complex networks have suggested algorithms for
locating network communities, also called modules or clusters, which are mostly
defined as groups of nodes with dense internal connections. Along with the
rapid development of these clustering techniques, the ability of revealing
overlaps between communities has become very important as well. An efficient
search technique for locating overlapping modules is provided by the Clique
Percolation Method (CPM) and its extension to directed graphs, the CPMd
algorithm. Here we investigate the centrality properties of directed module
members in social networks obtained from e-mail exchanges and from sociometric
questionnaires. Our results indicate that nodes in the overlaps between modules
play a central role in the studied systems. Furthermore, the two different
types of networks show interesting differences in the relation between the
centrality measures and the role of the nodes in the directed modules.


title:
Measurement of discrete energy-level spectra in individual
  chemically-synthesized gold nanoparticles

abstract:
  We form single-electron transistors from individual chemically-synthesized
gold nanoparticles, 5-15 nm in diameter, with monolayers of organic molecules
serving as tunnel barriers. These devices allow us to measure the discrete
electronic energy levels of individual gold nanoparticles that are, by virtue
of chemical synthesis, well-defined in their composition, size and shape. We
show that the nanoparticles are non-magnetic and have spectra in good accord
with random-matrix-theory predictions taking into account strong spin-orbit
coupling.


title: The ATLAS and CMS Plans for the LHC Luminosity Upgrade

abstract:
  In January 2007 the CERN director general announced the plan for the staged
upgrade of the LHC luminosity. The plan foresees a phase 1 upgrade reaching a
peak luminosity of $3 \times 10^{34}$ cm$^{-2}$s$^{-1}$ followed by phase
reaching up to $ 10^{35}$ cm$^{-2}$s$^{-1}$. We discuss the physics potential
and the experimental challenges of an upgraded LHC running. The detector R&D
needed to operate ATLAS and CMS in a very high radiation environment and the
expected detector performance are also discussed.


title:
Detection of coherent magnons via ultrafast pump-probe reflectance
  spectroscopy in multiferroic Ba0.6Sr1.4Zn2Fe12O22

abstract:
  We report the detection of a magnetic resonance mode in multiferroic
Ba0.6Sr1.4Zn2Fe12O22 using time domain pump-probe reflectance spectroscopy.
Magnetic sublattice precession is coherently excited via picosecond thermal
modification of the exchange energy. Importantly, this precession is recorded
as a change in reflectance caused by the dynamic magnetoelectric effect. Thus,
transient reflectance provides a sensitive probe of magnetization dynamics in
materials with strong magnetoelectric coupling, such as multiferroics,
revealing new possibilities for application in spintronics and ultrafast
manipulation of magnetic moments.


title: Quasi-equilibrium models for triaxially deformed rotating compact stars

abstract:
  Quasi-equilibrium models of rapidly rotating triaxially deformed stars are
computed in general relativistic gravity, assuming a conformally flat spatial
geometry (Isenberg-Wilson-Mathews formulation) and a polytropic equation of
state. Highly deformed solutions are calculated on the initial slice covered by
spherical coordinate grids, centered at the source, in all angular directions
up to a large truncation radius. Constant rest mass sequences are calculated
from nearly axisymmetric to maximally deformed triaxial configurations.
Selected parameters are to model (proto-) neutron stars; the compactness is M/R
= 0.001, 0.1, 0.14, 0.2 for polytropic index n = 0.3 and M/R = 0.001, 0.1,
0.12, 0.14 for n = 0.5. We confirmed that the triaxial solutions exist for
these parameters as in the case of Newtonian polytropes. However, it is also
found that the triaxial sequences become shorter for higher compactness, and
those may disappear at a certain large compactness for the n = 0.5 case. In the
scenario of the contraction of proto-neutron stars being subject to strong
viscosity and rapid cooling, it is plausible that, once the viscosity driven
secular instability sets in during the contraction, the proto-neutron stars are
always maximally deformed triaxial configurations, as long as the compactness
and the equation of state parameters allow such triaxial sequences. Detection
of gravitational waves from such sources may be used as another probe for the
nuclear equation of state.


title:
Solvable Examples of Drift and Diffusion of Ions in Non-uniform Electric
  Fields

abstract:
  The drift and diffusion of a cloud of ions in a fluid are distorted by an
inhomogeneous electric field. If the electric field carries the center of the
distribution in a straight line and the field configuration is suitably
symmetric, the distortion can be calculated analytically. We examine the
specific examples of fields with cylindrical and spherical symmetry in detail
assuming the ion distributions to be of a generally Gaussian form. The effects
of differing diffusion coefficients in the transverse and longitudinal
directions are included.


title: W boson mass measurement at the Tevatron

abstract:
  The mass of the W boson is one of the least precisely measured parameters of
the electroweak interaction. Confronted with other measurements of standard
model parameters it can test the internal consistency of the Standard Model and
can constrain the possible mass of the standard model Higgs boson. The CDF
collaboration has published the current single most precise measurement of the
W boson mass using 200 pb-1 of CDF Run II p-pbar data, and an improved
measurement with 2.4 fb-1 of CDF Run II data is underway. Both measurements are
described in detail in these proceedings.


title: Binary Random Sequences Obtained From Decimal Sequences

abstract:
  This paper presents a twist to the generation of binary random sequences by
starting with decimal sequences. Rather than representing the prime reciprocal
sequence directly in base 2, we first right the prime reciprocal in base 10 and
then convert it into the binary form. The autocorrelation and cross-correlation
properties of these binary random (BRD) sequences are discussed.


title: Thermodynamics of the early Universe with mirror dark matter

abstract:
  Mirror matter is a promising self-collisional dark matter candidate. Here we
study the evolution of thermodynamical quantities in the early Universe for
temperatures below ~100 MeV in presence of a hidden mirror sector with unbroken
parity symmetry and with gravitational interactions only. This range of
temperatures is interesting for primordial nucleosynthesis analyses, therefore
we focus on the temporal evolution of number of degrees of freedom in both
sectors. Numerically solving the equations, we obtain the interesting
prediction that the effective number of extra-neutrino families raises for
decreasing temperatures before and after Big Bang nucleosynthesis; this could
help solving the discrepancy in this number computed at nucleosynthesis and
cosmic microwave background formation epochs.


title: Compressive Wave Computation

abstract:
  This paper considers large-scale simulations of wave propagation phenomena.
We argue that it is possible to accurately compute a wavefield by decomposing
it onto a largely incomplete set of eigenfunctions of the Helmholtz operator,
chosen at random, and that this provides a natural way of parallelizing wave
simulations for memory-intensive applications.
  This paper shows that L1-Helmholtz recovery makes sense for wave computation,
and identifies a regime in which it is provably effective: the one-dimensional
wave equation with coefficients of small bounded variation. Under suitable
assumptions we show that the number of eigenfunctions needed to evolve a sparse
wavefield defined on N points, accurately with very high probability, is
bounded by C log(N) log(log(N)), where C is related to the desired accuracy and
can be made to grow at a much slower rate than N when the solution is sparse.
The PDE estimates that underlie this result are new to the authors' knowledge
and may be of independent mathematical interest; they include an L1 estimate
for the wave equation, an estimate of extension of eigenfunctions, and a bound
for eigenvalue gaps in Sturm-Liouville problems.
  Numerical examples are presented in one spatial dimension and show that as
few as 10 percents of all eigenfunctions can suffice for accurate results.
Finally, we argue that the compressive viewpoint suggests a competitive
parallel algorithm for an adjoint-state inversion method in reflection
seismology.


title: Summary of the Electroweak and Beyond the Standard Model Working Group

abstract:
  A wide array of deep-inelastic-scattering and hadron collider experiments
have tested the predictions of the electroweak theory and measured its
parameters, while also searching for new particles and processes. We summarise
recent measurements and searches that probe the Standard Model to unprecedented
precision.


title:
The Prolog Interface to the Unstructured Information Management
  Architecture

abstract:
  In this paper we describe the design and implementation of the Prolog
interface to the Unstructured Information Management Architecture (UIMA) and
some of its applications in natural language processing. The UIMA Prolog
interface translates unstructured data and the UIMA Common Analysis Structure
(CAS) into a Prolog knowledge base, over which, the developers write rules and
use resolution theorem proving to search and generate new annotations over the
unstructured data. These rules can explore all the previous UIMA annotations
(such as, the syntactic structure, parsing statistics) and external Prolog
knowledge bases (such as, Prolog WordNet and Extended WordNet) to implement a
variety of tasks for the natural language analysis. We also describe
applications of this logic programming interface in question analysis (such as,
focus detection, answer-type and other constraints detection), shallow parsing
(such as, relations in the syntactic structure), and answer selection.


title: Homological dimensions of K"othe algebras

abstract:
  Given a metrizable K"othe algebra $\lambda(P)$, we compute the global
dimension, the weak global dimension, the bidimension, and the weak bidimension
of $\lambda(P)$ in terms of the K"othe set $P$.


title: Effective quantum field theories in general spacetimes

abstract:
  We introduce regular charts as physical reference frames in spacetime, and we
show that general spacetimes can always be fully captured by regular charts.
Effective quantum field theories (QFTs) can be conveniently defined in regular
reference frames, and the definition is independent of specific background
metric and independent of specific regular reference frame. As a consequence,
coupling to classical gravity is possible in effective QFTs without getting
back-reaction effects. Moreover, we present an approach to effective QFTs
including quantum gravity.


title: A Remark on the Infinite-Volume Gibbs Measures of Spin Glasses

abstract:
  In this note, we point out that infinite-volume Gibbs measures of spin glass
models on the hypercube can be identified as random probability measures on the
unit ball of a Hilbert space. This simple observation follows from a result of
Dovbysh and Sudakov on weakly exchangeable random matrices. Limiting Gibbs
measures can then be studied as single well-defined objects. This approach
naturally extends the space of Random Overlap Structures as defined by
Aizenman, Sims and Starr. We discuss the Ruelle Probability Cascades and the
stochastic stability within this framework. As an application, we use an idea
of Parisi and Talagrand to prove that if a sequence of finite-volume Gibbs
measures satisfies the Ghirlanda-Guerra identities, then the infinite-volume
measure must be singular as a measure on a Hilbert space.


title:
A study on relativistic lagrangian field theories with non-topological
  soliton solutions

abstract:
  We perform a general analysis of the dynamic structure of two classes of
relativistic lagrangian field theories exhibiting static spherically symmetric
non-topological soliton solutions. The analysis is concerned with (multi-)
scalar fields and generalized gauge fields of compact semi-simple Lie groups.
The lagrangian densities governing the dynamics of the (multi-) scalar fields
are assumed to be general functions of the kinetic terms, whereas the
gauge-invariant lagrangians are general functions of the field invariants.
These functions are constrained by requirements of regularity, positivity of
the energy and vanishing of the vacuum energy, defining what we call
"admissible" models. In the scalar case we establish the general conditions
which determine exhaustively the families of admissible lagrangian models
supporting this kind of finite-energy solutions. We analyze some explicit
examples of these different families, which are defined by the asymptotic and
central behaviour of the fields of the corresponding particle-like solutions.
  From the variational analysis of the energy functional, we show that the
admissibility constraints and the finiteness of the energy of the scalar
solitons are necessary and sufficient conditions for their linear static
stability against small charge-preserving perturbations. Furthermore we perform
a general spectral analysis of the dynamic evolution of the small perturbations
around the statically stable solitons, establishing their dynamic stability.
Next, we consider the case of many-components scalar fields, showing that the
resolution of the particle-like field problem in this case reduces to that of
the one-component case. The study of these scalar models is a necessary step in
the analysis of the gauge fields.


title: Evidence for divergent baryon-number susceptibility in QCD matter

abstract:
  The baryon-number density formed in relativistic nuclear collisions, versus
the chemical potential of the freeze-out states, is systematically studied on
the basis of existing measurements. A remarkable power-law behaviour of the
baryon-number susceptibility is found at the SPS, consistent with the existence
of a QCD critical point at $\mu_{B,c}\simeq 214$ MeV, $T_c\simeq 155$ MeV. The
equation of state in different asymptotic regimes of the critical region is
also examined and confronted with freeze-out states in these experiments.


title: Energy Scaling Laws for Distributed Inference in Random Fusion Networks

abstract:
  The energy scaling laws of multihop data fusion networks for distributed
inference are considered. The fusion network consists of randomly located
sensors distributed i.i.d. according to a general spatial distribution in an
expanding region. Among the class of data fusion schemes that enable optimal
inference at the fusion center for Markov random field (MRF) hypotheses, the
scheme with minimum average energy consumption is bounded below by average
energy of fusion along the minimum spanning tree, and above by a suboptimal
scheme, referred to as Data Fusion for Markov Random Fields (DFMRF). Scaling
laws are derived for the optimal and suboptimal fusion policies. It is shown
that the average asymptotic energy of the DFMRF scheme is finite for a class of
MRF models.


title: Phase Structure of Beta-deformed N=4 SYM on S^3 with Chemical Potentials

abstract:
  We study the beta-deformation of N=4 SYM on S^3 with chemical potentials for
the U(1)_R as well as the two global U(1) symmetries. The one-loop effective
potential at weak coupling is computed for both the Coulomb and Higgs branches.
At near critical chemical potential and small finite temperature, we find a
metastable state at the origin of moduli space. On the Higgs branch, this has
the interpretation in terms of deconstruction as an extra-dimensional torus
which becomes metastable for infinite size and decays to zero size through
quantum tunnelling and thermal activation. At strong coupling, the theory is
described by its gravitational dual. The relevant background is found by
performing a TsT-transformation on the solution describing an AdS_5 black hole
spinning in S^5. A probe-brane calculation, using giant gravitons as probes,
reveals qualitative agreement with the weak coupling results.


title:
Refined estimates for some basic random walks on the symmetric and
  alternating groups

abstract:
  We give refined estimates for the discrete time and continuous time versions
of some basic random walks on the symmetric and alternating groups $S_n$ and
$A_n$. We consider the following models: random transposition, transpose top
with random, random insertion, and walks generated by the uniform measure on a
conjugacy class. In the case of random walks on $S_n$ and $A_n$ generated by
the uniform measure on a conjugacy class, we show that in continuous time the
$\ell^2$-cuttoff has a lower bound of $(n/2)\log n$. This result, along with
the results of M\"uller, Schlage-Puchta and Roichman, demonstrates that the
continuous time version of these walks may take much longer to reach
stationarity than its discrete time counterpart.


title: Rational Generating Functions and Integer Programming Games

abstract:
  We explore the computational complexity of computing pure Nash equilibria for
a new class of strategic games called integer programming games with difference
of piecewise linear convex payoffs. Integer programming games are games where
players' action sets are integer points inside of polytopes. Using recent
results from the study of short rational generating functions for encoding sets
of integer points pioneered by Alexander Barvinok, we present efficient
algorithms for enumerating all pure Nash equilibria, and other computations of
interest, such as the pure price of anarchy, and pure threat point, when the
dimension and number of "convex" linear pieces in the payoff functions are
fixed. Sequential games where a leader is followed by competing followers (a
Stackelberg--Nash setting) are also considered.


title:
Comparing Community Structure to Characteristics in Online Collegiate
  Social Networks

abstract:
  We study the structure of social networks of students by examining the graphs
of Facebook "friendships" at five American universities at a single point in
time. We investigate each single-institution network's community structure and
employ graphical and quantitative tools, including standardized pair-counting
methods, to measure the correlations between the network communities and a set
of self-identified user characteristics (residence, class year, major, and high
school). We review the basic properties and statistics of the pair-counting
indices employed and recall, in simplified notation, a useful analytical
formula for the z-score of the Rand coefficient. Our study illustrates how to
examine different instances of social networks constructed in similar
environments, emphasizes the array of social forces that combine to form
"communities," and leads to comparative observations about online social lives
that can be used to infer comparisons about offline social structures. In our
illustration of this methodology, we calculate the relative contributions of
different characteristics to the community structure of individual universities
and subsequently compare these relative contributions at different
universities, measuring for example the importance of common high school
affiliation to large state universities and the varying degrees of influence
common major can have on the social structure at different universities. The
heterogeneity of communities that we observe indicates that these networks
typically have multiple organizing factors rather than a single dominant one.


title: Coloured quiver mutation for higher cluster categories

abstract:
  We define mutation on coloured quivers associated to tilting objects in
higher cluster categories. We show that this operation is compatible with the
mutation operation on the tilting objects. This gives a combinatorial approach
to tilting in higher cluster categories and especially an algorithm to
determine the Gabriel quivers of tilting objects in such categories.


title: How long should an astronomical paper be to increase its Impact?

abstract:
  Naively, one would expect longer papers to have larger impact (i.e., to be
cited more). I tested this expectation by selecting all (~30,000) refereed
papers from A&A, AJ, ApJ and MNRAS published between 2000 and 2004. These
particular years were chosen so papers analyzed would not be too "fresh", but
at the same time length of each article could be obtained via ADS. I find that
indeed longer papers published in these four major astronomy journals are on
average cited more, with a median number of citations increasing from 6 for
articles 2-3 pages long to about 50 for articles ~50 pages long. I do however
observe a significant "Letters effect", i.e. ApJ and A&A articles 4 pages long
are cited more than articles 5-10 pages long. Also, the very few longest (>80
pages) papers are actually cited less than somewhat shorter papers. For
individual journals, median citations per paper increase from 11 for ~9,300 A&A
papers to 14 for ~5,300 MNRAS papers, 16 for ~2,550 AJ papers, and 20 for
~12,850 ApJ papers (including ApJ Letters and Supplement). I conclude with some
semi-humorous career advice, directed especially at first-year graduate
students.


title:
Higher order corrections to the large scale matter power spectrum in the
  presence of massive neutrinos

abstract:
  We present the first systematic derivation of the one-loop correction to the
large scale matter power spectrum in a mixed cold+hot dark matter cosmology
with subdominant massive neutrino hot dark matter. Starting with the equations
of motion for the density and velocity fields, we derive perturbative solutions
to these quantities and construct recursion relations for the interaction
kernels, noting and justifying all approximations along the way. We find
interaction kernels similar to those for a cold dark matter-only universe, but
with additional dependences on the neutrino energy density fraction f_nu and
the linear growth functions of the incoming wavevectors. Compared with the
f_nu=0 case, the one-loop corrected matter power spectrum for a mixed dark
matter cosmology exhibits a decrease in small scale power exceeding the
canonical ~8 f_nu suppression predicted by linear theory, a feature also seen
in multi-component N-body simulations.


title:
Dynamics and transport of the Z_2 spin liquid: application to
  kappa-(ET)2Cu2(CN)3

abstract:
  We describe neutron scattering, NMR relaxation, and thermal transport
properties of Z_2 spin liquids in two dimensions. Comparison to recent
experiments on the spin S=1/2 triangular lattice antiferromagnet in
kappa-(ET)2Cu2(CN)3 shows that this compound may realize a Z_2 spin liquid. We
argue that the topological `vison' excitations dominate thermal transport, and
that recent thermal conductivity experiments by M. Yamashita et al. have
observed the vison gap.


title: The Gravitational Wave Signature of Core-Collapse Supernovae

abstract:
  We review the ensemble of anticipated gravitational-wave (GW) emission
processes in stellar core collapse and postbounce core-collapse supernova
evolution. We discuss recent progress in the modeling of these processes and
summarize most recent GW signal estimates. In addition, we present new results
on the GW emission from postbounce convective overturn and protoneutron star
g-mode pulsations based on axisymmetric radiation-hydrodynamic calculations.
Galactic core-collapse supernovae are very rare events, but within 3-5 Mpc from
Earth, the rate jumps to 1 in ~2 years. Using the set of currently available
theoretical gravitational waveforms, we compute upper-limit optimal
signal-to-noise ratios based on current and advanced LIGO/GEO600/VIRGO noise
curves for the recent SN 2008bk which exploded at ~3.9 Mpc. While initial LIGOs
cannot detect GWs emitted by core-collapse events at such a distance, we find
that advanced LIGO-class detectors could put significant upper limits on the GW
emission strength for such events. We study the potential occurrence of the
various GW emission processes in particular supernova explosion scenarios and
argue that the GW signatures of neutrino-driven, magneto-rotational, and
acoustically-driven core-collapse SNe may be mutually exclusive. We suggest
that even initial LIGOs could distinguish these explosion mechanisms based on
the detection (or non-detection) of GWs from a galactic core-collapse
supernova.


title: The supermassive black hole of Fornax A

abstract:
  The radio galaxy Fornax A (NGC 1316) is a prominent merger remnant in the
outskirts of the Fornax cluster. Its giant radio lobes suggest the presence of
a powerful AGN and thus a central supermassive black hole (SMBH). We present
high-resolution adaptive optics assisted integral-field data of Fornax A, taken
with SINFONI at the Very Large Telescope in the K band. We use axisymmetric
orbit models to determine the mass of the SMBH in the centre of Fornax A. The
three-dimensional nature of our data provides the possibility to directly test
the consistency of the data with axisymmetry by modelling each of the four
quadrants separately. According to our dynamical models, consistent SMBH masses
and dynamical Ks band mass-to-light ratios are obtained for all quadrants, with
<M_BH>=1.3x10^8 M_\odot (rms(M_BH)=0.4x10^8 Msun) and <M/L>=0.68
(rms(M/L)=0.03), confirming the assumption of axisymmetry. For the folded and
averaged data we find M_BH=(1.5+0.75-0.8)x10^8 Msun and M/L=(0.65+0.075-0.05)
(3-sigma errors). Thus the black-hole mass of Fornax A is consistent within the
error with the Tremaine (2002) M-sigma relation, but is a factor ~4 smaller
than expected from its bulge mass and the Marconi&Hunt (2003) relation.


title:
An Infrared High Proper Motion Survey Using 2MASS and SDSS: Discovery of
  M, L and T Dwarfs

abstract:
  A search of the Two Micron All Sky Survey and Sloan Digital Sky
  Survey reveals 36 previously unknown high proper motion objects with
  J<17. Their red-optical colors indicate that 27 are M dwarfs, 8 are
early-type L dwarfs, and 1 is a late-type T dwarf. The L dwarfs have J-Ks
colors near the extrema of known L dwarfs indicating that previous surveys for
L dwarfs using color as a selection criterion may be biased. Followup
near-infrared spectroscopy of 6 dwarfs confirm they are all late-type with
spectral types ranging from M8 to T4. Spectroscopy also shows that some of the
L dwarf spectra exhibit peculiar features similar to other peculiar "blue" L
dwarfs which may indicate that these dwarfs have a relatively condensate free
atmosphere or may be metal poor. Photometric distance estimates indicate that
22 of the new M, L and T dwarfs lie within 100 pc of the Sun with the newly
discovered T dwarf, 2MASS J10595185+3042059, located at about 25 pc. Based on
the colors and proper motions of the newly identified objects, several appear
to be good subdwarf candidates. The proper motions of known ultracool dwarfs
detected in our survey were also measured, including, for the first time, SDSS
J085834.42+325627.6 (T1), SDSS J125011.65+392553.9 (T4) and 2MASS
J15261405+2043414 (L7).


title:
Low-Mass X-ray Binaries and Globular Clusters in Early-Type Galaxies.
  II. Globular Cluster Candidates and their Mass-Metallicity Relation

abstract:
  We present an astrometry and photometry catalogue of globular cluster (GC)
candidates detected with HST WFPC2 in a sample of 19 early-type galaxies,
appropriate for comparison to the low-mass X-ray binary (LMXB) populations
observed with Chandra. In a companion paper, we present the Chandra data and
investigate the relation between these populations. We demonstrate that,
although there is little evidence of a colour-magnitude correlation for the
GCs, after estimating mass and metallicity from the photometry, under the
assumption of a single age simple stellar population, there is a significant
positive correlation between mass and metallicity. We constrained [Z/H] =
(-2.1+/-0.2)+(0.25+/-0.04)log M, with a 1-sigma intrinsic scatter of 0.62 dex
in metallicity. If GCs are bimodal in metallicity this relation is consistent
with recent suggestions of a mass-metallicity relation only for metal-poor
clusters. Adopting a new technique to fit the GC luminosity function (GCLF)
accounting for incompleteness and the Eddington bias, we compute the V-band
local GC specific frequency (Sn) and specific luminosity (Sl) of each galaxy.
We show that Sl is the more robust measure of the richness of a GC population
where a significant fraction is undetected due to source detection
incompleteness. We find that the absolute magnitude of the GCLF turnover
exhibits intrinsic scatter from galaxy to galaxy of ~0.3mag (1-sigma), limiting
its accuracy as a standard distance measure.


title: Hopf algebras of dimension 2p^2

abstract:
  Let H be a non-semisimple Hopf algebra of dimension 2p^2 over an
algebraically closed field of characteristic zero, where p is an odd prime. We
prove that H or H^* is pointed, which completes the classification for Hopf
algebras of these dimensions.


title: A spectroscopic confirmation of the Bootes II dwarf spheroidal

abstract:
  We present a new suite of photometric and spectroscopic data for the faint
Bootes II dwarf spheroidal galaxy candidate. Our deep photometry, obtained with
the INT/WFC, suggests a distance of 46 kpc and a small half-light radius of 4.0
arcmin (56 pc), consistent with previous estimates. Follow-up spectroscopy
obtained with the Gemini/GMOS instrument yielded radial velocities and
metallicities. While the majority of our targets covers a broad range in
velocities and metallicities, we find five stars which share very similar
velocities and metallicities and which are all compatible with the colors and
magnitudes of the galaxy's likely red giant branch. We interpret these as a
spectroscopic detection of the Bootes II system. These stars have a mean
velocity of -117 km/s, a velocity dispersion of (10.5+-7.4) km/s and a mean
[Fe/H] of -1.79 dex, with a dispersion of 0.14 dex. At this metallicity, Boo II
is not consistent with the stellar-mass-metallicity relation for the more
luminous dwarf galaxies. Coupled with our distance estimate, its high negative
systemic velocity rules out any physical connection with its projected
neighbor, the Bootes I dwarf spheroidal, which has a velocity of ~+100 km/s.
The velocity and distance of Bootes II coincide with those of the leading arm
of Sagittarius, which passes through this region of the sky, so that it is
possible that Bootes II may be a stellar system associated with the Sagittarius
stream. Finally, we note that the properties of Bootes II are consistent with
being the surviving remnant of a previously larger and more luminous dSph
galaxy.


title:
Optimal strategies for gravitational wave stochastic background searches
  in pulsar timing data

abstract:
  A low frequency stochastic background of gravitational waves may be detected
by pulsar timing experiments in the next five to ten years. Using methods
developed to analyze interferometric gravitational wave data, in this paper we
lay out the optimal techniques to detect a background of gravitational waves
using a pulsar timing array. We show that for pulsar distances and
gravitational wave frequencies typical of pulsar timing experiments, neglecting
the effect of the metric perturbation at the pulsar does not result in a
significant deviation from optimality. We discuss methods for setting upper
limits using the optimal statistic, show how to construct skymaps using the
pulsar timing array, and consider several issues associated with realistic
analysis of pulsar timing data.


title: Long cycles in graphs through fragments

abstract:
  Four basic Dirac-type sufficient conditions for a graph $G$ to be hamiltonian
are known involving order $n$, minimum degree $\delta$, connectivity $\kappa$
and independence number $\alpha$ of $G$: (1) $\delta \geq n/2$ (Dirac); (2)
$\kappa \geq 2$ and $\delta \geq (n+\kappa)/3$ (by the author); (3) $\kappa
\geq 2$ and $\delta \geq \max\lbrace (n+2)/3,\alpha \rbrace$ (Nash-Williams);
(4) $\kappa \geq 3$ and $\delta \geq \max\lbrace (n+2\kappa)/4,\alpha \rbrace$
(by the author). In this paper we prove the reverse version of (4) concerning
the circumference $c$ of $G$ and completing the list of reverse versions of
(1)-(4): (R1) if $\kappa \geq 2$, then $c\geq\min\lbrace n,2\delta\rbrace$
(Dirac); (R2) if $\kappa \geq 3$, then $c\geq\min\lbrace n,3\delta
-\kappa\rbrace$ (by the author); (R3) if $\kappa\geq 3$ and $\delta\geq
\alpha$, then $c\geq\min\lbrace n,3\delta-3\rbrace$ (Voss and Zuluaga); (R4) if
$\kappa\geq 4$ and $\delta\geq \alpha$, then $c\geq\min\lbrace
n,4\delta-2\kappa\rbrace$. To prove (R4), we present four more general results
centered around a lower bound $c\geq 4\delta-2\kappa$ under four alternative
conditions in terms of fragments. A subset $X$ of $V(G)$ is called a fragment
of $G$ if $N(X)$ is a minimum cut-set and $V(G)-(X\cup N(X))\neq\emptyset$.


title: NMSSM and Seesaw Physics at LHC

abstract:
  We consider extensions of the next-to-minimal supersymmetric model (NMSSM) in
which the observed neutrino masses are described in terms of effective
dimension six (or seven) rather than dimension five operators. All such
operators respect the discrete symmetries of the model. The new particles
associated with the double (or triple) seesaw mechanism can have sizable
couplings to the known leptons, even with a TeV seesaw scale. In the latter
case some of these new short-lived particles could be produced and detected at
the LHC.


title:
Emission and absorption of photons and the black-body spectra in
  Lorentz-odd Electrodynamics

abstract:
  We study a number of issues related to the emission and absorption radiation
by non-relativistic electrons within the framework of a Lorentz-breaking
electrodynamics in (3+1) dimensions. Our main results concern how Planck-like
spectrum law is sensitive to terms that violate Lorentz symmetry. We have
realized that Planck law acquires extra terms proportional to the violating
parameters: for the CPT-odd model, the leading extra terms appear to be linear
or quadratic in these violating parameters according to the background vector
is parallel or perpendicular to the photon wave-vector. In the CPT-even case a
linear `correction' shows up. Among other possible ways to probe for these
violations, by means of the present results, we may quote the direct
observation of the extra contributions or an unbalancing in the mean occupation
number of photon modes in a given thermal bath.


title: Implications of the measurements of B_s - B_s bar mixing on SUSY models

abstract:
  We derive constraints on the mass insertion parameters from the recent
measurements of B_s - B_s bar mixing, and discuss their implications on SUSY
breaking mediation mechanisms and SUSY flavor models. Some SUSY flavor models
are already excluded or disfavored by B_s - B_s bar mixing. We also discuss how
to test the SM and SUSY models in the future experiments, by studying other CP
violating observables related to b -> s transition, such as the time-dependent
CP asymmetry in B -> phi K_S and the direct CP asymmetry in B -> X_s gamma.


title:
Effective Action Approach for Quantum Phase Transitions in Bosonic
  Lattices

abstract:
  Based on standard field-theoretic considerations, we develop an effective
action approach for investigating quantum phase transitions in lattice Bose
systems at arbitrary temperature. We begin by adding to the Hamiltonian of
interest a symmetry breaking source term. Using time-dependent perturbation
theory, we then expand the grand-canonical free energy as a double power series
in both the tunneling and the source term. From here, an order parameter field
is introduced in the standard way, and the underlying effective action is
derived via a Legendre transformation. Determining the Ginzburg-Landau
expansion to first order in the tunneling term, expressions for the Mott
insulator-superfluid phase boundary, condensate density, average particle
number, and compressibility are derived and analyzed in detail. Additionally,
excitation spectra in the ordered phase are found by considering both
longitudinal and transverse variations of the order parameter. Finally, these
results are applied to the concrete case of the Bose-Hubbard Hamiltonian on a
three dimensional cubic lattice, and compared with the corresponding results
from mean-field theory. Although both approaches yield the same Mott insulator
- superfluid phase boundary to first order in the tunneling, the predictions of
our effective action theory turn out to be superior to the mean-field results
deeper into the superfluid phase.


title: CCNV Space-Times as Potential Supergravity Solutions

abstract:
  It is of interest to study supergravity solutions preserving a non-minimal
fraction of supersymmetries. A necessary condition for supersymmetry to be
preserved is that the spacetime admits a Killing spinor and hence a null or
timelike Killing vector field. Any spacetime admitting a covariantly constant
null vector field ($CCNV$) belongs to the Kundt class of metrics, and more
importantly admits a null Killing vector field. We investigate the existence of
additional non-spacelike isometries in the class of higher-dimensional $CCNV$
Kundt metrics in order to produce potential solutions that preserve some
supersymmetries.


title: Relativistisk Rapsodi

abstract:
  The essay presents Special Relativity (SR) from historical and conceptual
points of view. It also touches on some attempts to go beyond SR. However,
still more than 100 years old SR seems as vigorous as ever and no serious
challenger for a better local theory of spacetime is in sight yet. This
preliminary version of the essay is mainly in Scandinavian. Dictionary: rum =
space; tid = time.


title:
Mapping out of equilibrium into equilibrium in one-dimensional transport
  models

abstract:
  Systems with conserved currents driven by reservoirs at the boundaries offer
an opportunity for a general analytic study that is unparalleled in more
general out of equilibrium systems. The evolution of coarse-grained variables
is governed by stochastic {\em hydrodynamic} equations in the limit of small
noise.} As such it is amenable to a treatment formally equal to the
semiclassical limit of quantum mechanics, which reduces the problem of finding
the full distribution functions to the solution of a set of Hamiltonian
equations. It is in general not possible to solve such equations explicitly,
but for an interesting set of problems (driven Symmetric Exclusion Process and
Kipnis-Marchioro-Presutti model) it can be done by a sequence of remarkable
changes of variables. We show that at the bottom of this `miracle' is the
surprising fact that these models can be taken through a non-local
transformation into isolated systems satisfying detailed balance, with
probability distribution given by the Gibbs-Boltzmann measure. This procedure
can in fact also be used to obtain an elegant solution of the much simpler
problem of non-interacting particles diffusing in a one-dimensional potential,
again using a transformation that maps the driven problem into an undriven one.


title: Prospects for Yukawa Unified SO(10) SUSY GUTs at the CERN LHC

abstract:
  The requirement of t-b-\tau Yukawa coupling unification is common in simple
grand unified models based on the gauge group SO(10), and it also places a
severe constraint on the expected spectrum of superpartners. For Yukawa-unified
models with \mu >0, the spectrum is characterized by three mass scales: {\it
i}). first and second generation scalars in the multi-TeV range, {\it ii}).
third generation scalars, \mu and m_A in the few-TeV range and {\it iii}).
gluinos in the \sim 350-500 GeV range with chargino masses around 100-160 GeV.
In such a scenario, gluino pair production should occur at large rates at the
CERN LHC, followed by gluino three-body decays into neutralinos or charginos.
Discovery of Yukawa-unified SUSY at the LHC should hence be possible with only
1 fb^{-1} of integrated luminosity, by tagging multi-jet events with 2--3
isolated leptons, without relying on missing E_T. A characteristic dilepton
mass edge should easily be apparent above Standard Model background. Combining
dileptons with b-jets, along with the gluino pair production cross section
information, should allow for gluino and neutralino mass reconstruction. A
secondary corroborative signal should be visible at higher integrated
luminosity in the W1Z2-> 3\ell channel, and should exhibit the same dilepton
mass edge as in the gluino cascade decay signal.


title:
Evidence for unusual superconducting correlations coexisting with stripe
  order in La(1.875)Ba(0.125)CuO(4)

abstract:
  We present new x-ray and neutron scattering measurements of stripe order in
La(1.875)Ba(0.125)CuO(4), along with low-field susceptibility, thermal
conductivity, and specific heat data. We compare these with previously reported
results for resistivity and thermopower. Temperature-dependent features
indicating transitions (or crossovers) are correlated among the various
experimental quantities. Taking into account recent spectroscopic studies, we
argue that the most likely interpretation of the complete collection of results
is that an unusual form of two-dimensional superconducting correlations appears
together with the onset of spin-stripe order. Recent theoretical proposals for
a sinusoidally-modulated superconducting state compatible with stripe order
provide an intriguing explanation of our results and motivate further
experimental tests. We also discuss evidence for one-dimensional pairing
correlations that appear together with the charge order. With regard to the
overall phenomenology, we consider the degree to which similar behavior may
have been observed in other cuprates, and describe possible connections to
various puzzling phenomena in cuprate superconductors.


title: Small AdS black holes from SYM

abstract:
  We provide a characterization of the set of configurations in N=4 SYM theory
that are dual to small AdS black holes. Our construction shows that the black
hole dual states are approximately thermal on a SU(M) subset of degrees of
freedom of a SU(N) gauge theory. M is determined dynamically and the black hole
degrees of freedom are dynamically insulated from the rest. These states are
localized on the S^5 and have dynamical processes that correspond to matter
absorption that make them behave as black objects.


title: Ultra Minimal Technicolor and its Dark Matter TIMP

abstract:
  We introduce an explicit model with technifermion matter transforming
according to multiple representations of the underlying technicolor gauge
group. The model features simultaneously the smallest possible value of the
naive S parameter and the smallest possible number of technifermions. The
chiral dynamics is extremely rich. We construct the low-energy effective
Lagrangian. We provide both the linearly and non-linearly realized ones. We
then embed, in a natural way, the Standard Model (SM) interactions within the
global symmetries of the underlying gauge theory. Several low-energy composite
particles are SM singlets. One of these Technicolor Interacting Massive
Particles (TIMP)s is a natural cold dark matter (DM) candidate. We estimate the
fraction of the mass in the universe constituted by our DM candidate over the
baryon one. We show that the new TIMP, differently from earlier models, can be
sufficiently light to be directly produced and studied at the Large Hadron
Collider (LHC).


title: PQCD Formulations with Heavy Quark Masses and Global Analysis

abstract:
  We critically review heavy quark mass effects in DIS and their impact on
global analyses. We lay out all elements of a properly defined general mass
variable flavor number scheme (GM VFNS) that are shared by all modern
formulations of the problem. We then explain the freedom in choosing specific
implementations and spell out, in particular, the current formulations of the
CTEQ and MSTW groups. We clarify the approximations in the still widely-used
zero mass variable flavor scheme (ZM VFNS), mention the inherent flaws in its
conventional implementation, and consider the possibility of mending some of
these flaws. We discuss practical issues concerning the use of parton
distributions in various physical applications, in view of the different
schemes. And we comment on the possible presence of intrinsic heavy flavors.


title: Nickel on Lead, Magnetically Dead or Alive?

abstract:
  Two atomic layers of Ni condensed onto Pb films behave, according to
anomalous Hall effect measurements, as magnetic dead layers. However, the Ni
lowers the superconducting T_{c} of the Pb film. This has lead to the
conclusion that the Ni layers are still very weakly magnetic. In the present
paper the electron dephasing due to the Ni has been measured by weak
localization. The dephasing is smaller by a factor 100 than the pair-breaking.
This proves that the T_{c}-reduction in the PbNi films is not due magnetic Ni
moments.


title: The Infancy of Cosmic Reionization

abstract:
  We consider the early stages of cosmic hydrogen or helium reionization, when
ionizing sources were still rare. We show that Poisson fluctuations in the
galaxy distribution substantially affected the early bubble size distribution,
although galaxy clustering was also an essential factor even at the earliest
times. We find that even at high redshifts, a significant fraction of the
ionized volume resided in bubbles containing multiple sources, regardless of
the ionizing efficiency of sources or of the reionization redshift. In
particular, for helium reionization by quasars, one-source bubbles last
dominated (i.e., contained 90% of the ionized volume) at some redshift above
z=7.3, and hydrogen reionization by stars achieved this milestone at z>23. For
the early generations of atomic-cooling halos or molecular-hydrogen-cooling
halos, one-source ionized regions dominated the ionized volume only at z>31 and
z>48, respectively. To arrive at these results we develop a statistical model
for the effect of density correlations and discrete sources on reionization and
solve it with a Monte Carlo method.


title: Galaxy Zoo: Chiral correlation function of galaxy spins

abstract:
  Galaxy Zoo is the first study of nearby galaxies that contains reliable
information about the spiral sense of rotation of galaxy arms for a sizeable
number of galaxies. We measure the correlation function of spin chirality (the
sense in which galaxies appear to be spinning) of face-on spiral galaxies in
angular, real and projected spaces. Our results indicate a hint of positive
correlation at separations less than ~0.5 Mpc at a statistical significance of
2-3 sigma. This is the first experimental evidence for chiral correlation of
spins. Within tidal torque theory it indicates that the inertia tensors of
nearby galaxies are correlated. This is complementary to the studies of nearby
spin axis correlations that probe the correlations of the tidal field.
Theoretical interpretation is made difficult by the small distances at which
the correlations are detected, implying that substructure might play a
significant role, and our necessary selection of face-on spiral galaxies,
rather than a general volume-limited sample.


title:
Parker/buoyancy instabilities with anisotropic thermal conduction,
  cosmic rays, and arbitrary magnetic field strength

abstract:
  We report the results of a local stability analysis for a magnetized,
gravitationally stratified plasma containing cosmic rays. We account for
cosmic-ray diffusion and thermal conduction parallel to the magnetic field and
allow beta to take any value, where p is the plasma pressure and B is the
magnetic field strength. We take the gravitational acceleration to be in the
-z-direction and the equilibrium magnetic field to be in the y-direction, and
we derive the dispersion relation for small-amplitude instabilities and waves
in the large-|k_x| limit. We use the Routh-Hurwitz criterion to show
analytically that the necessary and sufficient criterion for stability in this
limit is n k_B dT/dz + dp_cr/dz + (1/8pi)dB^2/dz > 0, where T is the
temperature, n is the number density of thermal particles, and p_cr is the
cosmic-ray pressure. We present approximate analytical solutions for the normal
modes in the low- and high-diffusivity limits, show that they are consistent
with the derived stability criterion, and compare them to numerical results
obtained from the full, unapproximated, dispersion relation. Our results extend
earlier analyses of buoyancy instabilities in galaxy-cluster plasmas to the
beta <= 1 regime. Our results also extend earlier analyses of the Parker
instability to account for anisotropic thermal conduction, and show that the
interstellar medium is more unstable to the Parker instability than was
predicted by previous studies in which the thermal plasma was treated as
adiabatic.


title:
A Fast Butterfly Algorithm for the Computation of Fourier Integral
  Operators

abstract:
  This paper is concerned with the fast computation of Fourier integral
operators of the general form $\int_{\R^d} e^{2\pi\i \Phi(x,k)} f(k) d k$,
where $k$ is a frequency variable, $\Phi(x,k)$ is a phase function obeying a
standard homogeneity condition, and $f$ is a given input. This is of interest
for such fundamental computations are connected with the problem of finding
numerical solutions to wave equations, and also frequently arise in many
applications including reflection seismology, curvilinear tomography and
others. In two dimensions, when the input and output are sampled on $N \times
N$ Cartesian grids, a direct evaluation requires $O(N^4)$ operations, which is
often times prohibitively expensive.
  This paper introduces a novel algorithm running in $O(N^2 \log N)$ time, i.
e. with near-optimal computational complexity, and whose overall structure
follows that of the butterfly algorithm [Michielssen and Boag, IEEE Trans
Antennas Propagat 44 (1996), 1086-1093]. Underlying this algorithm is a
mathematical insight concerning the restriction of the kernel $e^{2\pi\i
\Phi(x,k)}$ to subsets of the time and frequency domains. Whenever these
subsets obey a simple geometric condition, the restricted kernel has
approximately low-rank; we propose constructing such low-rank approximations
using a special interpolation scheme, which prefactors the oscillatory
component, interpolates the remaining nonoscillatory part and, lastly,
remodulates the outcome. A byproduct of this scheme is that the whole algorithm
is highly efficient in terms of memory requirement. Numerical results
demonstrate the performance and illustrate the empirical properties of this
algorithm.


title: Magnetic dynamo action in astrophysical turbulence

abstract:
  We investigate the structure of magnetic field amplified by turbulent
velocity fluctuations, in the framework of the kinematic Kazantsev-Kraichnan
model. We consider Kolmogorov distribution of velocity fluctuations, and assume
that both Reynolds number and magnetic Reynolds number are very large. We
present the full numerical solution of the model for the spectra and the growth
rates of magnetic fluctuations. We consider astrophysically relevant limits of
large and small magnetic Prandtl numbers, and address both helical and
nonhelical cases.


title: Electric Polarizabilities from Lattice QCD

abstract:
  The response of hadrons to electromagnetic probes is highly constrained by
chiral dynamics; but, in some cases, predictions have not compared well with
experimental data. The lattice can be used to test the chiral electromagnetism
of hadrons and ultimately confront experiment. We use background field
techniques to study the electromagnetic polarizabilities of hadrons. Focusing
on simulations in background electric fields, we present preliminary results
for both charged and neutral particle polarizabilities. The former are
extracted using a novel method.


title: Asymmetrically Doped Polyacetylene

abstract:
  Doped one-dimensional (1D) conjugated polymers, such as polyacetylene, have a
conductivity of some metals, like copper. We show that when this polymer is
asymmetrically doped, unexpected properties are revealed, when compared to the
behavior of the symmetrically standard doped systems (SDS). Depending on the
level of imbalance between the chemical potentials of the two involved
fermionic species, the polymer can be converted into a 1D partially or fully
spin polarized organic conductor.

categories: cond-mat.str-el cond-mat.mtrl-sci hep-th nucl-th


title: A Simple Mechanism for Focused Web-harvesting

abstract:
  The focused web-harvesting is deployed to realize an automated and
comprehensive index databases as an alternative way for virtual topical data
integration. The web-harvesting has been implemented and extended by not only
specifying the targeted URLs, but also predefining human-edited harvesting
parameters to improve the speed and accuracy. The harvesting parameter set
comprises three main components. First, the depth-scale of being harvested
final pages containing desired information counted from the first page at the
targeted URLs. Secondly, the focus-point number to determine the exact box
containing relevant information. Lastly, the combination of keywords to
recognize encountered hyperlinks of relevant images or full-texts embedded in
those final pages. All parameters are accessible and fully customizable for
each target by the administrators of participating institutions over an
integrated web interface. A real implementation to the Indonesian Scientific
Index which covers all scientific information across Indonesia is also briefly
introduced.


title: Polynomial treewidth forces a large grid-like-minor

abstract:
  Robertson and Seymour proved that every graph with sufficiently large
treewidth contains a large grid minor. However, the best known bound on the
treewidth that forces an $\ell\times\ell$ grid minor is exponential in $\ell$.
It is unknown whether polynomial treewidth suffices. We prove a result in this
direction. A \emph{grid-like-minor of order} $\ell$ in a graph $G$ is a set of
paths in $G$ whose intersection graph is bipartite and contains a
$K_{\ell}$-minor. For example, the rows and columns of the $\ell\times\ell$
grid are a grid-like-minor of order $\ell+1$. We prove that polynomial
treewidth forces a large grid-like-minor. In particular, every graph with
treewidth at least $c\ell^4\sqrt{\log\ell}$ has a grid-like-minor of order
$\ell$. As an application of this result, we prove that the cartesian product
$G\square K_2$ contains a $K_{\ell}$-minor whenever $G$ has treewidth at least
$c\ell^4\sqrt{\log\ell}$.


title:
Comment on "Minimal conductivity in graphene: Interaction corrections
  and ultraviolet anomaly" by Mishchenko E. G

abstract:
  In this comment we wish to clarify and correct some of the statements made in
a recent paper by E. G. Mishchenko (Europhys. Lett. 83 (2008) 17005).


title:
An exactly conservative particle method for one dimensional scalar
  conservation laws

abstract:
  A particle scheme for scalar conservation laws in one space dimension is
presented. Particles representing the solution are moved according to their
characteristic velocities. Particle interaction is resolved locally, satisfying
exact conservation of area. Shocks stay sharp and propagate at correct speeds,
while rarefaction waves are created where appropriate. The method is variation
diminishing, entropy decreasing, exactly conservative, and has no numerical
dissipation away from shocks. Solutions, including the location of shocks, are
approximated with second order accuracy. Source terms can be included. The
method is compared to CLAWPACK in various examples, and found to yield a
comparable or better accuracy for similar resolutions.


title: Microcontroller-based System for Modular Networked Robot

abstract:
  A prototype of modular networked robot for autonomous monitoring works with
full control over web through wireless connection has been developed. The robot
is equipped with a particular set of built-in analyzing tools and appropriate
censors, depending on its main purposes, to enable self-independent and
real-time data acquisition and processing. The paper is focused on the
microcontroller-based system to realize the modularity. The whole system is
divided into three modules : main unit, data acquisition and data processing,
while the analyzed results and all aspects of control and monitoring systems
are fully accessible over an integrated web-interface. This concept leads to
some unique features : enhancing flexibility due to enabling partial
replacement of the modules according to user needs, easy access over web for
remote users, and low development and maintenance cost due to software
dominated components.


title: A Spectrum-Shaping Perspective on Cognitive Radio

abstract:
  A new perspective on cognitive radio is presented, where the pre-existent
legacy service is either uncoded or coded and a pair of cognitive transceivers
need be appropriately deployed to coexist with the legacy service. The basic
idea underlying the new perspective is to exploit the fact that, typically, the
legacy channel is not fully loaded by the legacy service, thus leaving a
non-negligible margin to accommodate the cognitive transmission. The
exploitation of such a load margin is optimized by shaping the spectrum of the
transmitted cognitive signal. It is shown that non-trivial coexistence of
legacy and cognitive systems is possible even without sharing the legacy
message with the cognitive transmitter. Surprisingly, the optimized cognitive
transmitter is no longer limited by its interference power at the legacy
receiver, and can always transmit at its full available device power.
Analytical development and numerical illustration are presented, in particular
focusing on the logarithmic growth rate, {\it i.e.}, the prelog coefficient, of
cognitive transmission in the high-power regime.


title: The Solar Coronal Magnetic Field Measurements With SOLARC

abstract:
  Direct solar coronal magnetic field measurements have become possible since
recent development of high-sensitivity infrared detection technology. The
SOLARC instrument installed on Mt. Haleakala is such a polarimetric coronagraph
that was designed for routinely observing Stokes parameter profiles in near
infrared (NIR) wavelengthes. The Fe$^{+12}$ 1075 nm forbidden coronal emission
line (CEL) is potential for weak coronal magnetic field detection. As a first
step the potential field model has been used to compare with the SOLARC
observation in the Fe$^{+12}$ 1075 nm line (Liu and Lin 2008). It's found that
the potential fields can be a zeroth-order proxy for approaching the observed
coronal field above a simple stable sunspot. In this paper we further discuss
several nodi that are hampering the progress for reconstructing the real
coronal magnetic field structures. They include the well-known Van Vleck effect
in linear polarization signals, ignorance of the information of the NIR
emission sources (i.e., inversion problem of coronal magnetic fields), a fat
lot of global non-linear force-free field tools available for better modeling
coronal magnetic fields, and so on.


title: Three geometric applications of quandle homology

abstract:
  In this paper we describe three geometric applications of quandle homology.
We show that it gives obstructions to tangle embeddings, provides the lower
bound for the 4-move distance between links, and can be used in determining
periodicity of links.


title: Observable Topological Effects of Mobius Molecular Devices

abstract:
  We study the topological properties of quantum states for the spinless
particle hopping in a Mobius ladder. This system can be regarded as a molecular
device possibly engineered from the aromatic Mobius annulenes, which enjoys a
pseudo-spin orbital interaction described by a non-Abelian gauge structure. It
results from the nontrivial topology of configuration space, and results in
various observable effects, such as optical spectral splitting. The
transmission spectrum through the Mobius molecular device is calculated to
demonstrate a topological effect as a destructive interferences in the
conduction band. The induced interaction also leads to an entanglement between
the transverse and longitudinal modes for any locally factorized state.


title: A Possible Phase Transition in beta-pyrochlore Compounds

abstract:
  We investigate a lattice of interacting anharmonic oscillators by using a
mean field theory and exact diagonalization. We construct an effective
five-state hopping model with intersite repulsions as a model for
beta-pyrochlore AOs_2O_6(A=K, Rb or Cs). We obtain the first order phase
transition line from large to small oscillation amplitude phases as temperature
decreases. We also discuss the possibility of a phase with local electric
polarizations. Our theory can explain the origin of the mysterious first order
transition in KOs_2O_6.


title: There exists no self-dual [24,12,10] code over F5

abstract:
  Self-dual codes over F5 exist for all even lengths. The smallest length for
which the largest minimum weight among self-dual codes has not been determined
is 24, and the largest minimum weight is either 9 or 10. In this note, we show
that there exists no self-dual [24,12,10] code over F5, using the
classification of 24-dimensional odd unimodular lattices due to Borcherds.


title: Cosmic rays from active galactic nuclei

abstract:
  Cosmic ray (CR) acceleration at the shock created by the expanding cocoons
around active galactic nuclei (AGNs) is studied. It is shown that above the
energy $10^{18}$ eV the overall energy spectrum of CRs, produced during the AGN
evolution and released in the intergalactic space, has the form $N\propto
\epsilon^{-\gamma}$, with $\gamma\approx 2.6$, which extends up to
$\epsilon_{max}\sim 10^{20}$ eV. It is concluded that cocoons shocks have to be
considered as a main source of extragalactic CRs, which together with Galactic
supernova remnants provide the observed CR spectrum.


title:
Effect of Zn substitution for Cu on Ca$_{2-x}$Na$_{x}$CuO$_{2}$Cl$_{2}$
  near the hole concentration of 1/8 per Cu

abstract:
  A weakening of superconductivity upon substitution of Cu by Zn (0.5~1 %) is
observed in a high-T_c cuprate, Ca_{2-x}Na_xCuO2Cl2, near the hole
concentration of 1/8 per Cu. The superconducting transition temperature and its
volume fraction, estimated by magnetic susceptibility, exhibit a sizable
anomaly for x=0.12~0.14, where the slowing down of Cu spin fluctuations below 5
K is demonstrated by muon spin relaxation experiments. These observations are
in close resemblance to other typical cuprates including YBa2Cu3O_{7-d}, and
Bi2Sr2Ca_{1-x}Y_xCu2O_{8+d}, providing further evidence that Zn-induced
"stripe" correlation is a universal feature of high-T_c cuprate superconductors
common to that of La_{2-x}A_{x}CuO4 (A=Ba, Sr).


title:
van der Waals dispersion power laws for cleavage, exfoliation and
  stretching in multi-scale, layered systems

abstract:
  Layered and nanotubular systems that are metallic or graphitic are known to
exhibit unusual dispersive van der Waals (vdW) power laws under some
circumstances. In this letter we investigate the vdW power laws of bulk and
finite layered systems and their interactions with other layered systems and
atoms in the electromagnetically non-retarded case. The investigation reveals
substantial difference between `cleavage' and `exfoliation' of graphite and
metals where cleavage obeys a $C_2 D^{-2}$ vdW power law while exfoliation
obeys a $C_3 \log(D/D_0) D^{-3}$ law for graphitics and a $C_{5/2} D^{-5/2}$
law for layered metals. This leads to questions of relevance in the
interpretation of experimental results for these systems which have previously
assumed more trival differences. Furthermore we gather further insight into the
effect of scale on the vdW power laws of systems that simultaneously exhibit
macroscopic and nanoscopic dimensions. We show that, for metallic and graphitic
layered systems, the known "unusual" power laws can be reduced to standard or
near standard power laws when the effective scale of one or more dimension is
changed. This allows better identification of the systems for which the
commonly employed `sum of $C_6 D^{-6}$' type vdW methods might be valid such as
layered bulk to layered bulk and layered bulk to atom.


title: Malleable Coding with Fixed Reuse

abstract:
  In cloud computing, storage area networks, remote backup storage, and similar
settings, stored data is modified with updates from new versions. Representing
information and modifying the representation are both expensive. Therefore it
is desirable for the data to not only be compressed but to also be easily
modified during updates. A malleable coding scheme considers both compression
efficiency and ease of alteration, promoting codeword reuse. We examine the
trade-off between compression efficiency and malleability cost-the difficulty
of synchronizing compressed versions-measured as the length of a reused prefix
portion. Through a coding theorem, the region of achievable rates and
malleability is expressed as a single-letter optimization. Relationships to
common information problems are also described.


title: Cosmic Ray Acceleration by Supernova Shocks

abstract:
  We analyse the results of recent measurements of nonthermal emission from
individual supernova remnants (SNRs) and their correspondence to the nonlinear
kinetic theory of cosmic ray (CR) acceleration in SNRs. It is shown that the
theory fits these data in a satisfactory way and provides the strong evidences
for the efficient CR production in SNRs accompanied by significant magnetic
field amplification. Magnetic field amplification leads to considerable
increase of CR maximum energy so that the spectrum of CRs accelerated in SNRs
is consistent with the requirements for the formation of Galactic CR spectrum
up to the energy ~10^17 eV.


title:
A dual characterization of self-generation and exponential forward
  performances

abstract:
  We propose a mathematical framework for the study of a family of random
fields--called forward performances--which arise as numerical representation of
certain rational preference relations in mathematical finance. Their spatial
structure corresponds to that of utility functions, while the temporal one
reflects a Nisio-type semigroup property, referred to as self-generation. In
the setting of semimartingale financial markets, we provide a dual formulation
of self-generation in addition to the original one, and show equivalence
between the two, thus giving a dual characterization of forward performances.
Then we focus on random fields with an exponential structure and provide
necessary and sufficient conditions for self-generation in that case. Finally,
we illustrate our methods in financial markets driven by It\^o-processes, where
we obtain an explicit parametrization of all exponential forward performances.


abstract:
  Let $(X, d)$ be a compact metric space and let $\mathcal{M}(X)$ denote the
space of all finite signed Borel measures on $X$. Define $I \colon
\mathcal{M}(X) \to \R$ by \[I(\mu) = \int_X \int_X d(x,y) d\mu(x) d\mu(y),\]
and set $M(X) = \sup I(\mu)$, where $\mu$ ranges over the collection of signed
measures in $\mathcal{M}(X)$ of total mass 1.
  The metric space $(X, d)$ is quasihypermetric if for all $n \in \N$, all
$\alpha_1, ..., \alpha_n \in \R$ satisfying $\sum_{i=1}^n \alpha_i = 0$ and all
$x_1, ..., x_n \in X$, one has $\sum_{i,j=1}^n \alpha_i \alpha_j d(x_i, x_j)
\leq 0$. Without the quasihypermetric property $M(X)$ is infinite, while with
the property a natural semi-inner product structure becomes available on
$\mathcal{M}_0(X)$, the subspace of $\mathcal{M}(X)$ of all measures of total
mass 0. This paper explores: operators and functionals which provide natural
links between the metric structure of $(X, d)$, the semi-inner product space
structure of $\mathcal{M}_0(X)$ and the Banach space $C(X)$ of continuous
real-valued functions on $X$; conditions equivalent to the quasihypermetric
property; the topological properties of $\mathcal{M}_0(X)$ with the topology
induced by the semi-inner product, and especially the relation of this topology
to the weak-$*$ topology and the measure-norm topology on $\mathcal{M}_0(X)$;
and the functional-analytic properties of $\mathcal{M}_0(X)$ as a semi-inner
product space, including the question of its completeness. A later paper [Peter
Nickolas and Reinhard Wolf, Distance Geometry in Quasihypermetric Spaces. II]
will apply the work of this paper to a detailed analysis of the constant
$M(X)$.


title: Derangement Polynomials and Excedances of Type B

abstract:
  Adopting the definition of excedances of type B due to Brenti, we give a type
B analogue of the q-derangement polynomials. The connection between
q-derangement polynomials and Eulerian polynomials naturally extends to the
type B case. Based on this relation, we derive some basic properties of the
q-derangement polynomials of type B, including the generating function formula,
the Sturm sequence property, and the asymptotic normal distribution. We also
show that the q-derangement polynomials are almost symmetric in the sense that
the coefficients possess the spiral property.


title: Long-lived $2s$ state of muonic hydrogen: population and lifetime

abstract:
  Ab initio study of the density-dependent population and lifetime of the
long-lived $(\mu p)_{2s}$ and the yield of $(\mu p)_{1s}$ atoms with kinetic
energy 0.9 keV have been performed for the first time. The direct Coulomb
$2s\to 1s$ deexcitation is proved to be the dominant quenching mechanism of the
$2s$ state at kinetic energy below $2p$ threshold and explain the lifetime of
the metastable $2s$ state and high-energy 0.9 keV component of $(\mu p)_{1S}$
observed at low densities. The cross sections of the elastic, Stark and Coulomb
deexcitation processes have been calculated in the close-coupling approach
taking into account for the first time both the closed channels and the
threshold effects due to vacuum polarization shifts of the $ns$ states. The
cross sections are used as the input data in the detailed study of the atomic
cascade kinetics. The theoretical predictions are compared with the known
experimental data at low densities. The 40% yield of the 0.9 keV$(\mu p)_{1s}$
atoms is predicted for liquid hydrogen density.


title: Liouville type of theorems for the Euler and the Navier-Stokes equations

abstract:
  We prove Liouville type of theorems for weak solutions of the Navier-Stokes
and the Euler equations. In particular, if the pressure satisfies $ p\in L^1
(0,T; L^1 (\Bbb R^N))$ with $\int_{\Bbb R^N} p(x,t)dx \geq 0$, then the
corresponding velocity should be trivial, namely $v=0$ on $\Bbb R^N \times
(0,T)$. In particular, this is the case when $p\in L^1 (0,T; \mathcal{H}^1
(\Bbb R^N))$, where $\mathcal{H}^1 (\Bbb R^N)$ the Hardy space. On the other
hand, we have equipartition of energy over each component, if $p\in L^1 (0,T;
L^1 (\Bbb R^N))$ with $\int_{\Bbb R^N} p(x,t)dx <0$. Similar results hold also
for the magnetohydrodynamic equations.


title: Distance Geometry in Quasihypermetric Spaces. II

abstract:
  Let $(X, d)$ be a compact metric space and let $\mathcal{M}(X)$ denote the
space of all finite signed Borel measures on $X$. Define $I \colon
\mathcal{M}(X) \to \R$ by \[ I(\mu) = \int_X \int_X d(x,y) d\mu(x) d\mu(y), \]
and set $M(X) = \sup I(\mu)$, where $\mu$ ranges over the collection of signed
measures in $\mathcal{M}(X)$ of total mass 1. This paper, with an earlier and a
subsequent paper [Peter Nickolas and Reinhard Wolf, Distance geometry in
quasihypermetric spaces. I and III], investigates the geometric constant $M(X)$
and its relationship to the metric properties of $X$ and the
functional-analytic properties of a certain subspace of $\mathcal{M}(X)$ when
equipped with a natural semi-inner product. Using the work of the earlier
paper, this paper explores measures which attain the supremum defining $M(X)$,
sequences of measures which approximate the supremum when the supremum is not
attained and conditions implying or equivalent to the finiteness of $M(X)$.


title: Sparse Recovery by Non-convex Optimization -- Instance Optimality

abstract:
  In this note, we address the theoretical properties of $\Delta_p$, a class of
compressed sensing decoders that rely on $\ell^p$ minimization with 0<p<1 to
recover estimates of sparse and compressible signals from incomplete and
inaccurate measurements. In particular, we extend the results of Candes,
Romberg and Tao, and Wojtaszczyk regarding the decoder $\Delta_1$, based on
$\ell^1$ minimization, to $\Delta_p$ with 0<p<1. Our results are two-fold.
First, we show that under certain sufficient conditions that are weaker than
the analogous sufficient conditions for $\Delta_1$ the decoders $\Delta_p$ are
robust to noise and stable in the sense that they are (2,p) instance optimal
for a large class of encoders. Second, we extend the results of Wojtaszczyk to
show that, like $\Delta_1$, the decoders $\Delta_p$ are (2,2) instance optimal
in probability provided the measurement matrix is drawn from an appropriate
distribution.