title:
High-Ion Absorption in Seven GRB Host Galaxies at z=2-4: Evidence for
  both Circumburst Plasma and Outflowing Interstellar Gas

abstract:
  (Abridged) We use VLT/UVES high-resolution optical spectroscopy of seven GRB
afterglows at z_GRB>2 to investigate circumburst and interstellar plasma in the
host galaxies. Our sample consists of GRBs 021004, 050730, 050820, 050922C,
060607, 071031, and 080310. Four of these spectra were taken in rapid-response
mode, within 30 minutes of the Swift GRB detection. We identify several
distinct categories of high-ion absorption at velocities close to z_GRB: (i)
Strong high-ion components at z_GRB itself are always seen in OVI, CIV, and
SiIV, and usually (in 6 of 7 cases) in NV. We discuss circumburst and
interstellar models for the origin of this absorption. Using the non-detection
of SIV* toward GRB 050730 together with a UV photo-excitation model, we place a
lower limit of 400 pc on the distance of the SIV-bearing gas from the GRB. (ii)
Complex, multi-component CIV and SiIV profiles extending over 100-400 km/s
around z_GRB are observed in each spectrum; these velocity fields are similar
to those measured in damped Lyman-alpha systems at similar redshifts,
suggesting a galactic origin. (iii) Asymmetric, blueshifted, absorption-line
wings covering 65-140 km/s are seen in the CIV, SiIV, and OVI profiles in 4 of
the 7 spectra. The wing kinematics together with the observation that two wings
show "Galactic" CIV/SiIV ratios suggest these features trace outflowing ISM gas
in the GRB host galaxies. (iv) High-velocity (HV; 500-5000 km/s) components are
detected in 6 of the 7 spectra. The HV components show diverse properties. In
the cases of GRBs 071031 and 080310, both the ionization level (very high
CIV/SiIV ratios and absence of neutral-phase absorption) and the kinematics of
the HV components can be explained by Wolf-Rayet winds from the GRB
progenitors.


title: Entanglement genesis under continuous parity measurement

abstract:
  We examine the stochastic dynamics of entanglement for an uncoupled two-qubit
system, undergoing continuous parity measurement. Starting with a fully mixed
state, the entanglement is zero for a finite amount of time, when it is
suddenly created, which we refer to as entanglement genesis. There can be
further entanglement sudden death/birth events culminating in the formation of
a fully entangled state. We present numerical investigations of this effect
together with statistics of the entanglement genesis time in the weak
measurement limit as well as the quantum Zeno limit. An analytic treatment of
the physics is presented, aided by the derivation of a simple concurrence
equation for Bell basis X-states. The probability of entanglement border
crossing and mean first passage times are calculated for the case of
measurement dynamics alone. We find that states with almost the same
probability of entanglement border crossing can have very different average
crossing times. Our results provide insights on the optimization of
entanglement generation by measurement.


title: X-ray refractive index of laser-dressed atoms

abstract:
  We investigated the complex index of refraction in the x-ray regime of atoms
in laser light. The laser (intensity up to 10^13 W/cm^2, wavelength 800nm)
modifies the atomic states but, by assumption, does not excite or ionize the
atoms in their electronic ground state. Using quantum electrodynamics, we
devise an ab initio theory to calculate the dynamic dipole polarizability and
the photoabsorption cross section, which are subsequently used to determine the
real and imaginary part, respectively, of the refractive index. The interaction
with the laser is treated nonperturbatively; the x-ray interaction is described
in terms of a one-photon process. We numerically solve the resolvents involved
using a single-vector Lanczos algorithm. Finally, we formulate rate equations
to copropagate a laser and an x-ray pulse through a gas cell. Our theory is
applied to argon. We study the x-ray polarizability and absorption near the
argon K edge over a large range of dressing-laser intensities. We find
electromagnetically induced transparency (EIT) for x rays on the Ar 1s --> 4p
pre-edge resonance. We demonstrate that EIT in Ar allows one to imprint the
shape of an ultrafast laser pulse on a broader x-ray pulse (duration 100ps,
photon energy 3.2keV). Our work thus opens new opportunities for research with
hard x-ray sources.


title: Using descriptive mark-up to formalize translation quality assessment

abstract:
  The paper deals with using descriptive mark-up to emphasize translation
mistakes. The author postulates the necessity to develop a standard and formal
XML-based way of describing translation mistakes. It is considered to be
important for achieving impersonal translation quality assessment. Marked-up
translations can be used in corpus translation studies; moreover, automatic
translation assessment based on marked-up mistakes is possible. The paper
concludes with setting up guidelines for further activity within the described
field.


title: Physical results from 2+1 flavor Domain Wall QCD

abstract:
  We review recent results for the chiral behavior of meson masses and decay
constants and the determination of the light quark masses by the RBC and UKQCD
collaborations. We find that one-loop SU(2) chiral perturbation theory
represents the behavior of our lattice data better than one-loop SU(3) chiral
perturbation theory in both the pion and kaon sectors.
  The simulations have been performed using the Iwasaki gauge action at two
different lattice spacings with the physical spatial volume held approximately
fixed at (2.7 fm)^3. The Domain Wall fermion formulation was used for the 2+1
dynamical quark flavors: two (mass degenerate) light flavors with masses as
light as roughly 1/5 the mass of the physical strange quark mass and one
heavier quark flavor at approximately the value of the physical strange quark
mass.
  On the ensembles generated with the coarser lattice spacing, we obtain for
the physical average up- and down-quark and strange quark masses
m_ud(MSbar,2GeV)=3.72(0.16)_stat(0.33)_ren(0.18)_syst MeV and
m_s(MSbar,2GeV)=107.3(4.4)_stat(9.7)_ren(4.9)_syst MeV, respectively, while we
find for the pion and kaon decay constants f_pi=124.1(3.6)_stat(6.9)_syst MeV,
f_K=149.6(3.6)_stat(6.3)_syst MeV. The analysis for the finer lattice spacing
has not been fully completed yet, but we already present some first
(preliminary) results.


title: Rings of Dark Matter in Collisions Between Clusters of Galaxies

abstract:
  Several lines of evidence suggest that the galaxy cluster Cl0024+17, an
apparently relaxed system, is actually a collision of two clusters, the
interaction occurring along our line of sight. Recent lensing observations
suggest the presence of a ring-like dark matter structure, which has been
interpreted as the result of such a collision. In this paper we present
$N$-body simulations of cluster collisions along the line of sight to
investigate the detectability of such features. We use realistic dark matter
density profiles as determined from cosmological simulations. Our simulations
show a "shoulder" in the dark matter distribution after the collision, but no
ring feature even when the initial particle velocity distribution is highly
tangentially anisotropic ($\sigma_\theta/\sigma_r >> 1$). Only when the initial
particle velocity distribution is circular do our simulations show such a
feature. Even modestly anisotropic velocity distributions are inconsistent with
the halo velocity distributions seen in cosmological simulations, and would
require highly fine-tuned initial conditions. Our investigation leaves us
without an explanation for the dark matter ring-like feature in Cl 0024+17
suggested by lensing observations.


title:
Two-Impurity Anderson model in an Antiferromagnetic metal:
  zero-bandwidth limit

abstract:
  We study the zero-bandwidth limit of the two-impurity Anderson model in an
antiferromagnetic (AF) metal. We calculate, for different values of the model
parameters, the lowest excitation energy, the magnetic correlation
$<\mathbf{S}_{1}\mathbf{S}_{2}>$ between the impurities, and the magnetic
moment at each impurity site, as a function of the distance between the
impurities and the temperature. At zero temperature, in the region of
parameters corresponding to the Kondo regime of the impurities, we observe an
interesting competition between the AF gap and the Kondo physics of the two
impurities. When the impurities are close enough, the AF splitting governs the
physics of the system and the local moments of the impurities are frozen, in a
state with very strong ferromagnetic correlation between the impurities and
roughly independent of the distance. On the contrary, when the impurities are
sufficiently far apart and the AF gap is not too large, the scenario of the
Kondo physics take place: non-magnetic ground state and the possibility of
spin-flip excitation emerges and the ferromagnetic
$<\mathbf{S}_{1}\mathbf{S}_{2}>$ decreases as the distance increases, but the
complete decoupling of the impurities never occurs. In adition, the presence of
the AF gap gives a non-zero magnetic moment at each impurity site, showing a
non complete Kondo screening of the impurities in the system. We observe that
the residual magnetic moment decreases when the distance between the impurities
is increased.


title:
Localized electronic states induced by defects and possible origin of
  ferroelectricity in strontium titanate thin films

abstract:
  Several defect configurations including oxygen vacancies have been
investigated as possible origins of the reported room-temperature
ferroelectricity of strontium titanate (STO) thin films [Appl. Phys. Letts. 91,
042908 (2007)]. First-principles calculations revealed that the Sr-O-O vacancy
complexes create deep localized states in the band gap of SrTiO3 without
affecting its insulating property. These results are in agreement with
electronic structural changes determined from optical transmission and X-ray
absorption measurements. This work opens the way to exploiting oxygen vacancies
and their complexes as a source of ferroelectricity in perovskite oxide thin
films, including STO.


title:
A model of the TeV flare of Cygnus X-1: electron acceleration and
  extended pair cascades

abstract:
  We consider theoretical models of emission of TeV photons by Cyg X-1 during a
flare discovered by the MAGIC detector. We study acceleration of electrons to
energies sufficient for TeV emission, and find the emission site is allowed to
be close to the black hole. We then consider pair absorption in the photon
field of the central X-ray source and a surrounding accretion disc, and find
its optical depth is <1, allowing emission close to the black hole. On the
other hand, the optical depth in the stellar field is about 10 at 1 TeV.
However, the optical depth drops with increasing energy, allowing a model with
the initial energy of >3 TeV, in which photons travel far away from the star,
initiating a spatially extended pair cascade. This qualitatively explains the
observed TeV spectrum, though still not its exact shape.


title: Relaxation times in an open interacting two-qubit system

abstract:
  In a two-qubit system the coupling with an environment affects considerably
the entanglement dynamics, and usually leads to the loss of entanglement within
a finite time. Since entanglement is a key feature in the application of such
systems to quantum information processing, it is highly desirable to find a way
to prolonging its lifetime. We present a simple model of an interacting
two-qubit system in the presence of a thermal Markovian environment. The qubits
are modeled as interacting spin-$\half$ particles in a magnetic field and the
environment is limited to inducing single spin-flip events. A simple scheme
allows us to calculate the relaxation rates for all processes. We show that the
relaxation dynamics of the most entangled state exhibit critical slowing down
as a function of the magnetic field, where the relaxation rate changes from
exponentially small values to finite values in the zero-temperature limit. We
study the effect of temperature and magnetic field on all the other relaxation
rates and find that they exhibit unusual properties, such as non-monotonic
dependence on temperature and a discontinuity as a function of magnetic field.
In addition, a simple scheme to include non-Markovian effects is presented and
applied to the two-qubit model. We find that the relaxation rates exhibit a
sharp, cusp-like resonant structure as a function of the environment
memory-time, and that for long memory-times all the different relaxation rates
merge into a single one.


title:
Compactness for manifolds and integral currents with bounded diameter
  and volume

abstract:
  By Gromov's compactness theorem for metric spaces, every uniformly compact
sequence of metric spaces admits an isometric embedding into a common compact
metric space in which a subsequence converges with respect to the Hausdorff
distance. Working in the class or oriented $k$-dimensional Riemannian manifolds
(with boundary) and, more generally, integral currents in metric spaces in the
sense of Ambrosio-Kirchheim and replacing the Hausdorff distance with the
filling volume or flat distance, we prove an analogous compactness theorem in
which we replace uniform compactness of the sequence with uniform bounds on
volume and diameter.


title:
Ideals of Rings of Differential Operators on Algebraic Curves (With an
  Appendix by George Wilson)

abstract:
  Let X be a complex smooth affine irreducible curve, and let D = D(X) be the
ring of global differential operators on X. In this paper, we give a geometric
classification of left ideals in $ D $ and study the natural action of the
Picard group of D on the space J(D) of isomorphism classes of such ideals. We
recall that, up to isomorphism in the Grothendieck group K_0(D), the ideals of
D are classified by the Picard group of X: there is a natural fibration \gamma:
J(D) \to Pic(X), whose fibres are the stable isomorphism classes of ideals of D
(see \cite{BW}). In this paper, we refine this classification by describing the
fibres of \gamma in terms of finite-dimensional algebraic varieties C_n(X, I),
which we call the (generalized) Calogero-Moser spaces. We define these
varieties as representation varieties of deformed preprojective algebras over a
certain extension of the ring of regular functions on $ X $. As in the
classical case (see \cite{Wi}), we prove that C_n(X, I) are smooth affine
irreducible varieties of dimension 2n. Our results generalize the description
of left ideals of the first Weyl algebra A_1(C) in \cite{BW1, BW2}; however,
our methods are quite different.


title:
All solvable extensions of a class of nilpotent Lie algebras of
  dimension n and degree of nilpotency n-1

abstract:
  We construct all solvable Lie algebras with a specific n-dimensional
nilradical n_(n,2) (of degree of nilpotency (n-1) and with an (n-2)-dimensional
maximal Abelian ideal). We find that for given n such a solvable algebra is
unique up to isomorphisms. Using the method of moving frames we construct a
basis for the Casimir invariants of the nilradical n_(n,2). We also construct a
basis for the generalized Casimir invariants of its solvable extension s_(n+1)
consisting entirely of rational functions of the chosen invariants of the
nilradical.


title:
HW Vir's Companion: a M-type Dwarf, or maybe a giant rotating spherical
  Mirror?

abstract:
  From optical high-resolution spectra the nature of the unseen companion of HW
Vir is determined without detection of any spectral features originating from
the secondary itself. Using radial velocity measurements from the primary hot
subdwarf B star and from weak additional absorption lines detected close to the
secondary eclipse, probably caused by reflected light off the surface of the
secondary, the mass and radius of the companion is determined. The values are
consistent with those of a M type main sequence star.


title:
Uniqueness for solutions of the two-phase Stefan problem with signed
  measures as data

abstract:
  We show uniqueness of solutions to the two-phase Stefan problem which have
signed measures as initial data.


title:
SDSS J092712.65+294344.0: Recoiling Black Hole or A Sub-parsec Binary
  Candidate?

abstract:
  A search for recoiling supermassive black hole candidates recently yielded
the best candidate thus far, SDSS J092712.65+294344.0 reported by Komossa et
al. Here we propose the alternative hypothesis that this object is a
supermassive black hole binary. From the velocity shift imprinted in the
emission-line spectrum we infer an orbital period of ~190 years for a binary
mass ratio of 0.1, a secondary black hole mass of 100 million solar masses, and
assuming inclination and orbital phase angles of 45 degrees. In this model the
origin of the blueshifted narrow emission lines is naturally explained in the
context of an accretion flow within the inner rim of the circumbinary disk. We
attribute the blueshifted broad emission lines to gas associated with a disk
around the accreting secondary black hole. We show that, within the
uncertainties, this binary system can be long lived and thus, is not observed
in a special moment in time. The orbital motion of the binary can potentially
be observed with the VLBA if at least the secondary black hole is a radio
emitter. In addition, for the parameters quoted above, the orbital motion will
result in a ~100 km/s velocity shift of the emission lines on a time scale of
about a year, providing a direct observational test for the binary hypothesis.


title: KP hierarchy for Hodge integrals

abstract:
  Starting from the ELSV formula, we derive a number of new equations on the
generating functions for Hodge integrals over the moduli space of complex
curves. This gives a new simple and uniform treatment of certain known results
on Hodge integrals like Witten's conjecture, Virasoro constrains, Faber's
lambda_g conjecture etc. Among other results we show that a properly arranged
generating function for Hodge integrals satisfies the equations of the KP
hierarchy.


title: Model-Independent Jets plus Missing Energy Searches

abstract:
  We present a proposal for performing model-independent jets plus missing
energy searches. Currently, these searches are optimized for mSUGRA and are
consequently not sensitive to all kinematically-accessible regions of parameter
space. We show that the reach of these searches can be broadened by setting
limits on the differential cross section as a function of the total visible
energy and the missing energy. These measurements only require knowledge of the
relevant Standard Model backgrounds and can be subsequently used to limit any
theoretical model of new physics. We apply this approach to an example where
gluinos are pair-produced and decay to the LSP through a single-step cascade,
and show how sensitivity to different gluino masses is altered by the presence
of the decay chain. The analysis is closely based upon the current searches
done at the Tevatron and our proposal requires only small modifications to the
existing techniques. We find that within the MSSM, the gluino can be as light
as 125 GeV. The same techniques are applicable to jets and missing energy
searches at the Large Hadron Collider.


title:
HI and CO in the circumstellar environment of the oxygen-rich AGB star
  RX Lep

abstract:
  Circumstellar shells around AGB stars are built over long periods of time
that may reach several million years. They may therefore be extended over large
sizes (~1 pc, possibly more), and different complementary tracers are needed to
describe their global properties. In the present work, we combined 21-cm HI and
CO rotational line data obtained on an oxygen-rich semi-regular variable, RX
Lep, to describe the global properties of its circumstellar environment. With
the SEST, we detected the CO(2-1) rotational line from RX Lep. The line profile
is parabolic and implies an expansion velocity of ~4.2 km/s and a mass-loss
rate ~1.7 10^-7 Msun/yr (d = 137 pc). The HI line at 21 cm was detected with
the Nancay Radiotelescope on the star position and at several offset positions.
The linear shell size is relatively small, ~0.1 pc, but we detect a trail
extending southward to ~0.5 pc. The line profiles are approximately Gaussian
with an FWHM ~3.8 km/s and interpreted with a model developed for the detached
shell around the carbon-rich AGB star Y CVn. Our HI spectra are well-reproduced
by assuming a constant outflow (Mloss = 1.65 10^-7 Msun/yr) of ~4 10^4 years
duration, which has been slowed down by the external medium. The spatial offset
of the HI source is consistent with the northward direction of the proper
motion, lending support to the presence of a trail resulting from the motion of
the source through the ISM, as already suggested for Mira, RS Cnc, and other
sources detected in HI. The source was also observed in SiO (3 mm) and OH (18
cm), but not detected. The properties of the external parts of circumstellar
shells around AGB stars should be dominated by the interaction between stellar
outflows and external matter for oxygen-rich, as well as for carbon-rich,
sources, and the 21-cm HI line provides a very useful tracer of these regions.


title: Conductivity of electronic liquid-crystalline mesophases

abstract:
  We investigate the connection between the transport properties and the
thermodynamics of electronic systems with a tendency to form broken-symmetry
mesophases evocative of the physics of liquid crystals. Through a hydrodynamic
approach to the electronic transport in inhomogeneous systems, we develop a
perturbative expansion for the macroscopic conductivity to study the transport
of two-dimensional smectic and nematic phases. At the fluctuation induced first
order phase transition expected for the smectic to isotropic transition, a jump
in the macroscopic conductivity is predicted, with a directional dependence
that reflects the fluctuation spectrum of the order parameter. When elastic
fluctuation modes melt the smectic phase into a nematic phase, the resultant
nematic order parameter is shown to be linearly proportional to the
conductivity anisotropy. We also outline qualitative comparisons with recent
experimental works on strongly correlated materials that show evidences of
electronic liquid-crystalline mesophases.


title: Fast and slow light in zig-zag microring resonator chains

abstract:
  We analyze fast and slow light transmission in a zig-zag microring resonator
chain. This novel device permits the operation in both regimes. In the
superluminal case, a new ubiquitous light transmission effect is found whereby
the input optical pulse is reproduced in an almost simultaneous manner at the
various system outputs. When the input carrier is tuned to a different
frequency, the system permits to slow down the propagating optical signal.
Between these two extreme cases, the relative delay can be tuned within a broad
range.


title:
Asymmetric currents in a donor (D)-bridge (B)-acceptor (A) single
  molecule - revisit of the Aviram-Ratner diode

abstract:
  The quantum transport via a donor (D)-bridge (B)-acceptor (A) single molecule
is studied using density functional theory in conjunction with the
Landauer-B\"{u}ttiker formalism. Asymmetric electrical response for opposite
biases is observed resulting in significant rectification in current. The
intrinsic dipole moment induced by substituent side groups in the molecule
leads to enhanced/reduced polarization of the system under a forward/reverse
applied potential, thus asymmetry in the charge distribution and the electronic
current under bias. Under a forward bias, the energy gap between the D and A
frontier orbitals closes and the current increases rapidly; whereas under a
reverse bias, the D-A gap widens and the current remains small.


title: Giant Magnons and Spiky Strings on S^3 with B-field

abstract:
  We study solutions for a rotating string on S^3 with a background NS-NS
B-field and show the existence of spiky string and giant magnon as two limiting
solutions. We make a connection to the sine-Gordon model via the Polyakov
worldsheet action and study the effect of B-field. In particular, we find the
magnon solution can be mapped to the excitation of a fractional spin chain. We
conjecture a B-deformed SYM to be the gauge theory dual to this background.


title: About Bernoulli's Numbers

abstract:
  In this article we present a simple proof of Borevich-Shafarevich's method to
compute the sum of the first n natural numbers of the same power. We also prove
several properties of Bernoulli's numbers.


title: Continuous Measures on Homogenous Spaces

abstract:
  In this paper we generalize Wiener's characterization of continuous measures
to compact homogenous manifolds. In particular, we give necessary and
sufficient conditions on probability measures on compact semisimple Lie groups
and nilmanifolds to be continuous. The methods use only simple properties of
heat kernels.


title:
Temperature Dependence of Critical Current Fluctuations in
  Nb/AlO$\mathrm{_{x}}$/Nb Josephson Junctions

abstract:
  We have measured the low frequency critical current noise in
Nb/AlO$_{\mathrm{x}}$/Nb Josephson junctions. Unshunted junctions biased above
the gap voltage and resistively shunted junctions biased near the critical
current, $I_{c}$, have been measured. For both, the spectral density of $\delta
I_{c}/I_{c}$, $S_{i_{c}}(f)$, is proportional to $1/f$, scales inversely as the
area, $A$, and is independent of $J_{c} \equiv I_{c}/A$ over a factor of nearly
20 in $J_{c}$. For all devices measured at 4.2 K, $S_{i_{c}}$(1 Hz)$= 2.0 \pm
0.4 \cdot 10^{-12}$/Hz when scaled to A=1 $\mu$m$^{2}$. We find that, from 4.2
K to 0.46 K, $S_{i_{c}}(f)$ decreases linearly with temperature.


title: Direct and Reverse Secret-Key Capacities of a Quantum Channel

abstract:
  We define the direct and reverse secret-key capacities of a memoryless
quantum channel as the optimal rates that entanglement-based quantum key
distribution protocols can reach by using a single forward classical
communication (direct reconciliation) or a single feedback classical
communication (reverse reconciliation). In particular, the reverse secret-key
capacity can be positive for antidegradable channels, where no forward strategy
is known to be secure. This property is explicitly shown in the continuous
variable framework by considering arbitrary one-mode Gaussian channels.

categories: quant-ph cs.CR cs.IT math.IT physics.optics


title: Duality questions for operators, spectrum and measures

abstract:
  We explore spectral duality in the context of measures in $\br^n$, starting
with partial differential operators and Fuglede's question (1974) about the
relationship between orthogonal bases of complex exponentials in $L^2(\Omega)$
and tiling properties of $\Omega$, then continuing with affine iterated
function systems. We review results in the literature from 1974 up to the
present, and we relate them to a general framework for spectral duality for
pairs of Borel measures in $\br^n$, formulated first by Jorgensen and Pedersen.


title:
Local information transfer as a spatiotemporal filter for complex
  systems

abstract:
  We present a measure of local information transfer, derived from an existing
averaged information-theoretical measure, namely transfer entropy. Local
transfer entropy is used to produce profiles of the information transfer into
each spatiotemporal point in a complex system. These spatiotemporal profiles
are useful not only as an analytical tool, but also allow explicit
investigation of different parameter settings and forms of the transfer entropy
metric itself. As an example, local transfer entropy is applied to cellular
automata, where it is demonstrated to be a novel method of filtering for
coherent structure. More importantly, local transfer entropy provides the first
quantitative evidence for the long-held conjecture that the emergent traveling
coherent structures known as particles (both gliders and domain walls, which
have analogues in many physical processes) are the dominant information
transfer agents in cellular automata.


title: Criteria on Utility Designing of Convex Optimization in FDMA Networks

abstract:
  In this paper, we investigate the network utility maximization problem in
FDMA systems. We summarize with a suite of criteria on designing utility
functions so as to achieve the global optimization convex. After proposing the
general form of the utility functions, we present examples of commonly used
utility function forms that are consistent with the criteria proposed in this
paper, which include the well-known proportional fairness function and the
sigmoidal-like functions. In the second part of this paper, we use numerical
results to demonstrate a case study based on the criteria mentioned above,
which deals with the subcarrier scheduling problem with dynamic rate allocation
in FDMA system.


title:
On representations and differences of Stieltjes coefficients, and other
  relations

abstract:
  The Stieltjes coefficients $\gamma_k(a)$ arise in the expansion of the
Hurwitz zeta function $\zeta(s,a)$ about its single simple pole at $s=1$ and
are of fundamental and long-standing importance in analytic number theory and
other disciplines. We present an array of exact results for the Stieltjes
coefficients, including series representations and summatory relations. Other
integral representations provide the difference of Stieltjes coefficients at
rational arguments. The presentation serves to link a variety of topics in
analysis and special function and special number theory, including logarithmic
series, integrals, and the derivatives of the Hurwitz zeta and Dirichlet
$L$-functions at special points. The results have a wide range of application,
both theoretical and computational.


title: Isometries and spectra of multiplication operators on the Bloch space

abstract:
  In this paper, we establish bounds on the norm of multiplication operators on
the Bloch space of the unit disk via weighted composition operators. In doing
so, we characterize the isometric multiplication operators to be precisely
those induced by constant functions of modulus 1. We then describe the spectrum
of the multiplication operators in terms of the range of the symbol. Lastly, we
identify the isometries and spectra of a particular class of weighted
composition operators on the Bloch space.


title:
Distributed Spiral Optimization in Wireless Sensor Networks without
  Fusion Centers

abstract:
  A distributed spiral algorithm for distributed optimization in WSN is
proposed. By forming a spiral-shape message passing scheme among clusters,
without loss of estimation accuracy and convergence speed, the algorithm is
proved to converge with a lower total transport cost than the distributed
in-cluster algorithm.


title: A Heuristic Scheduling Scheme in Multiuser OFDMA Networks

abstract:
  Conventional heterogeneous-traffic scheduling schemes utilize zero-delay
constraint for real-time services, which aims to minimize the average packet
delay among real-time users. However, in light or moderate load networks this
strategy is unnecessary and leads to low data throughput for non-real-time
users. In this paper, we propose a heuristic scheduling scheme to solve this
problem. The scheme measures and assigns scheduling priorities to both
real-time and non-real-time users, and schedules the radio resources for the
two user classes simultaneously. Simulation results show that the proposed
scheme efficiently handles the heterogeneous-traffic scheduling with diverse
QoS requirements and alleviates the unfairness between real-time and
non-real-time services under various traffic loads.


title: The Gotzmann Coefficients of Hilbert Functions

abstract:
  In this paper we investigate some algebraic and geometric consequences which
arise from an extremal bound on the Hilbert function of the general hyperplane
section of a variety (Green's Hyperplane Restriction Theorem). These geometric
consequences improve some results in this direction first given by Green and
extend others by Bigatti, Geramita, and Migliore.
  Other applications of our detailed investigation of how the Hilbert
polynomial is written as a sum of binomials, are to conditions that must be
satisfied by a polynomial if it is to be the Hilbert polynomial of a
non-degenerate integral subscheme of $\mathbb P^n$ (a problem posed by R.
Stanley). We also give some new restrictions on the Hilbert function of a zero
dimensional reduced scheme with the Uniform Position Property.


title: Fermi-Surface Reconstruction in the Periodic Anderson Model

abstract:
  We study ground state properties of periodic Anderson model in a
two-dimensional square lattice with variational Monte Carlo method. It is shown
that there are two different types of quantum phase transition: a conventional
antiferromagnetic transition and a Fermi-surface reconstruction which
accompanies a change of topology of the Fermi surface. The former is induced by
a simple back-folding of the Fermi surface while the latter is induced by
localization of $f$ electrons. The mechanism of these transitions and the
relation to the recent experiments on Fermi surface are discussed in detail.


title:
Performance Comparison of Cooperative and Distributed Spectrum Sensing
  in Cognitive Radio

abstract:
  In this paper, we compare the performances of cooperative and distributed
spectrum sensing in wireless sensor networks. After introducing the basic
problem, we describe two strategies: 1) a cooperative sensing strategy, which
takes advantage of cooperation diversity gain to increase probability of
detection and 2) a distributed sensing strategy, which by passing the results
in an inter-node manner increases energy efficiency and fairness among nodes.
Then, we compare the performances of the strategies in terms of three criteria:
agility, energy efficiency, and robustness against SNR changes, and summarize
the comparison. It shows that: 1) the non-cooperative strategy has the best
fairness of energy consumption, 2) the cooperative strategy leads to the best
agility, and 3) the distributed strategy leads to the lowest energy consumption
and the best robustness against SNR changes.


title: A Different Approach to $f(R)$-Cosmology

abstract:
  Here $f(R)$-cosmology is discussed using a different approach. This model
explains early-inflation, emergence of cosmic background radiation at the exit
from inflation, cosmic deceleration during radiation-dominance followed by
deceleration due to curvature-induced matter and acceleration in the very late
universe due to curvature-induced phantom dark energy. This model predicts
collapse in the future universe. Further, a possible avoidence of collapse as
well as revival of very early universe is suggested.


title:
Load Balancing Strategies to Solve Flowshop Scheduling on Parallel
  Computing

abstract:
  This paper first presents a parallel solution for the Flowshop Scheduling
Problem in parallel environment, and then proposes a novel load balancing
strategy. The proposed Proportional Fairness Strategy (PFS) takes computational
performance of computing process sets into account, and assigns additional load
to computing nodes proportionally to their evaluated performance. In order to
efficiently utilize the power of parallel resource, we also discuss the data
structure used in communications among computational nodes and design an
optimized data transfer strategy. This data transfer strategy combined with the
proposed load balancing strategy have been implemented and tested on a super
computer consisted of 86 CPUs using MPI as the middleware. The results show
that the proposed PFS achieves better performance in terms of computing time
than the existing Adaptive Contracting Within Neighborhood Strategy. We also
show that the combination of both the Proportional Fairness Strategy and the
proposed data transferring strategy achieves additional 13~15% improvement in
efficiency of parallelism.


title: Controlled coarse homology and isoperimetric inequalities

abstract:
  We study a coarse homology theory with prescribed growth conditions. For a
finitely generated group G with the word length metric this homology theory
turns out to be related to amenability of G. We characterize vanishing of a
certain fundamental class in our homology in terms of an isoperimetric
inequality on G and show that on any group at most linear control is needed for
this class to vanish. The latter is a homological version of the classical
Burnside problem for infinite groups, with a positive solution. As applications
we characterize existence of primitives of the volume form with prescribed
growth and show that coarse homology classes obstruct weighted Poincare
inequalities.


title:
Toward frame-like gauge invariant formulation for massive mixed symmetry
  bosonic fields

abstract:
  In this paper, as a first step toward frame-like gauge invariant formulation
for massive mixed symmetry bosonic fields, we consider mixed tensors,
corresponding to Young tableau with two rows with k >= 2 boxes in the first row
and only one box in the second one. We construct complete Lagrangian and gauge
transformations describing massive particles in (anti) de Sitter space-time
with arbitrary dimension d >= 4 and investigate all possible massless and
partially massless limits.


title: $H^1$ and dyadic $H^1$

abstract:
  In this paper we give a simple proof of the fact that the average over all
dyadic lattices of the dyadic $H^1$-norm of a function gives an equivalent
$H^1$-norm. The proof we present works for both one-parameter and
multi-parameter Hardy spaces.
  The results of such type are known. The first result (for one-parameter Hardy
spces) belongs to Burgess Davis (1980). Also, by duality, such results are
equivalent to the "BMO from dyadic BMO" statements proved by
Garnett-Jones(1982} for one parameter case, and by Pipher-Ward (2008) for
two-parameter case.
  While the paper generalizes these results to the multi-parameter setting,
this is not its main goal. The purpose of the paper is to present an approach
leading to a simple proof, which works in both one-parameter and
multi-parameter cases.
  The main idea of treating square function as a Calderon--Zygmind operator is
a commonplace in harmonic analysis; the main observation, on which the paper is
based, is that one can treat the random dyadic square function this way. After
that, all is proved by using the standard and well-known results about
Calderon--Zygmind operators in the Hilbert-space-valued setting.
  As an added bonus, we get a simple proof of the (equivalent by duality)
inclusion $\text{BMO}\subset \text{BMO}_d$, $H^1_d \subset H^1$ in the
multi-parameter case. Note, that unlike the one-parameter case, the inclusions
in the general situation are far from trivial.


title: A Survey for a Coeval, Comoving Group Associated with HD 141569

abstract:
  We present results of a search for a young stellar moving group associated
with the star HD 141569, a nearby, isolated Herbig AeBe primary member of a
5+/-3 Myr-old triple star system on the outskirts of the Sco-Cen complex. Our
spectroscopic survey identified a population of 21 Li-rich, <30 Myr-old stars
within 30 degrees of HD 141569 which possess similar proper motions with the
star. The spatial distribution of these Li-rich stars, however, is not
suggestive of a moving group associated with the HD 141569 triplet, but rather
this sample appears cospatial with Upper Scorpius and Upper Centaurus Lupus. We
apply a modified moving cluster parallax method to compare the kinematics of
these youthful stars with Upper Scorpius and Upper Centaurus Lupus. Eight new
potential members of Upper Scorpius and five new potential members of Upper
Centaurus Lupus are identified. A substantial moving group with an identifiable
nucleus within 15 degrees (~30 pc) of HD 141569 is not found in this sample.
Evidently, the HD 141569 system formed ~5 Myr ago in relative isolation, tens
of parsecs away from the recent sites of star formation in the
Ophiucus-Scorpius-Centaurus region.


title: Magnetic Properties of Young Stars in the TW Hydrae Association

abstract:
  We present an analysis of infrared (IR) echelle spectra of five stars in the
TW Hydrae Association (TWA). We model the Zeeman broadening in four
magnetic-sensitive \ion{Ti}{1} lines near $2.2 \mu$m and measure the value of
the photospheric magnetic field averaged over the surface of each star. To
ensure that other broadening mechanisms are properly taken into account, we
also inspect several magnetically insensitive CO lines near $2.3 \mu$m and find
no excess broadening above that produced by stellar rotation and instrumental
broadening, providing confidence in the magnetic interpretation of the width of
the \ion{Ti}{1} lines. We then utilize our results to test the relationship
between stellar magnetic flux and X-ray properties and compare the measured
fields with equipartition field values. Finally, we use our results and recent
results on a large sample of stars in Taurus to discuss the potential evolution
of magnetic field properties between the age of Taurus ($\sim$2 Myrs) and the
age of TWA ($\sim$10 Myrs). We find that the average stellar field strength
increases with age; however, the total unsigned magnetic flux decreases as the
stars contract onto the main-sequence.


title: Gauge Equivalence and Inverse Scattering for Aharonov-Bohm Effect

abstract:
  We consider the Aharonov-Bohm effect for the Schroedinger operator and the
related inverse problem in an exterior domain the 2-dim. Euclidean space with
Dirichlet boundary condition. We study the structure and asymptotics of
generalized eigenfunctions and show that the scattering operator determines the
domain and the Hamiltonian up to Gauge equivalence under the equal flux
condition. We also show that the flux is determined by the scattering operator
if the obstacle is convex.


title: Polarization proximity effect in isolator crystal pairs

abstract:
  We experimentally studied the polarization dynamics (orientation and
ellipticity) of near infrared light transmitted through magnetooptic Yttrium
Iron Garnet crystal pairs using a modified balanced detection scheme. When the
pair separation is in the sub-millimeter range, we observed a proximity effect
in which the saturation field is reduced by up to 20%. 1D magnetostatic
calculations suggest that the proximity effect originates from magnetostatic
interactions between the dipole moments of the isolator crystals. This
substantial reduction of the saturation field is potentially useful for the
realization of low-power integrated magneto-optical devices.


title:
On the spectral sequence from Khovanov homology to Heegaard Floer
  homology

abstract:
  Ozsvath and Szabo show that there is a spectral sequence whose E^2 term is
the reduced Khovanov homology of L, and which converges to the Heegaard Floer
homology of the (orientation reversed) branched double cover of S^3 along L. We
prove that the E^k term of this spectral sequence is an invariant of the link L
for all k >= 2. If L is a transverse link in the standard tight contact
structure on S^3, then we show that Plamenevskaya's transverse invariant psi(L)
gives rise to a transverse invariant, psi^k(L), in the E^k term for each k >=
2. We use this fact to compute each term in the spectral sequences associated
to the torus knots T(3,4) and T(3,5).


title: Solitary waves of the regularized short pulse and Ostrovsky equations

abstract:
  We derive a model for the propagation of short pulses in nonlinear media. The
model is a higher order regularization of the short pulse equation (SPE). The
regularization term arises as the next term in the expansion of the
susceptibility in derivation of the SPE. Without the regularization term there
do not exist traveling pulses in the class of piecewise smooth functions with
one discontinuity. However, when the regularization term is added we show, for
a particular parameter regime, that the equation supports smooth traveling
waves which have structure similar to solitary waves of the modified KdV
equation. The existence of such traveling pulses is proved via the Fenichel
theory for singularly perturbed systems and a Melnikov type transversality
calculation. Corresponding statements for the Ostrovsky equations are also
included.


title:
Multi-color Near Infra-red Intra-day and Short Term Variability of the
  Blazar S5 0716+714

abstract:
  In this paper, we report results of our near-infrared (NIR) photometric
variability studies of the BL Lacertae object S5 0716+714. NIR photometric
observations spread over 7 nights during our observing run April 2-9, 2007 at
1.8 meter telescope equipped with KASINICS (Korea Astronomy and Space Science
Institute Near Infrared Camera System) and J, H, and Ks filters at Bohyunsan
Optical Astronomy Observatory (BOAO), South Korea. We searched for intra-day
variability, short term variability and color variability in the BL Lac object.
We have not detected any genuine intra-day variability in any of J, H, and Ks
passbands in our observing run. Significant short term variability ~ 32.6%,
20.5% and 18.2% have been detected in J, H, Ks passbands, respectively, and ~
11.9% in (J-H) color.


title:
An ab-initio calculation of the core-level x-ray photoemission spectra
  -Fe 3s- and 1s-core levels-

abstract:
  We develop a method of the ab-initio calculation for the core-level x-ray
photoemission spectroscopy (XPS). By calculating one-electron states in the
presence of core-hole potential, excited states are constructed by distributing
electrons on these one-electron states. The overlap integrals between the
excited states and the ground state are evaluated by using the wavefunctions
with and without the core-hole potential, and finally the XPS spectra are
obtained. Implementing the procedure, we obtain the spin-resolved 3s-core XPS
spectra in ferromagnetic iron without any adjustable parameters, in good
agreement with the experiment. The spectral shapes are quite different for
different spin channels. We explain the behavior in terms of the difference in
the one-electron states screening the core-hole potential.


title:
High Resolution Spectropolarimetry of the H-alpha Line: Obscured Stars
  and Absorptive Polarization

abstract:
  The near-star environment around obscured stars is very dynamic. Many classes
of stars show evidence for winds, disks, inflows and outflows with many
phenomena occurring simultaneously. These processes are involved in stellar
evolution, star and planet formation, and influence the formation and
habitability of planets around host stars. Even for the nearest stars, this
region will not be imaged even after the completion of the next generation of
telescopes. Other methods for measuring the physical properties of
circumstellar material must be developed. The polarization of light across
spectral lines is a signature that contains information about the circumstellar
material on these small spatial scales. We used the HiVIS (R=13000 to 50000)
and ESPaDOnS (R=68000) spectropolarimeters to monitor several classes of stars
on over a hundred nights of observing from 2004-2008. In 10/30 classical Be
stars, the traditional broad depolarization morphology is reproduced, but with
some additional absorptive effects in 4 of these 10 stars. In Herbig Ae/Be
stars roughly 2/3 of the stars (14/20) with strong absorptive components
(either central or blue-shifted) showed clear spectropolarimetric signatures
typically centered on absorptive components of the spectral lines. They were
typically 0.3% to 2% with some signatures being variable in time. Post-AGB and
RV-Tau type evolved stars showed very strong absorptive polarimetric effects
(5/6 PAGB and 4/4 RVTau) very similar to the Herbig Ae/Be stars. These
observations were inconsistent with the traditional scattering models and
inspired the development of a new explanation of the observed polarization.
This new model, based on optical-pumping, has the potential to provide direct
measurements of the circumstellar gas properties.


title: A matrix-valued point interactions model

abstract:
  We study a matrix-valued Schr\"odinger operator with random point
interactions. We prove the absence of absolutely continuous spectrum for this
operator by proving that away from a discrete set its Lyapunov exponents do not
vanish. For this we use a criterion by Gol'dsheid and Margulis and we prove the
Zariski denseness, in the symplectic group, of the group generated by the
transfer matrices. Then we prove estimates on the transfer matrices which lead
to the H\"older continuity of the Lyapunov exponents. After proving the
existence of the integrated density of states of the operator, we also prove
its H\"older continuity by proving a Thouless formula which links the
integrated density of states to the sum of the positive Lyapunov exponents.


title: Residuation of Linear Series and The Effective Cone of C_d

abstract:
  We obtain new information about divisors on the $d-$th symmetric power
$C_{d}$ of a general curve $C$ of genus $g \geq 4.$ This includes a complete
description of the effective cone of $C_{g-1}$ and a partial computation of the
volume function on one of its non-nef subcones, as well as new bounds for the
effective and movable cones of $C_{d}$ in the range $\frac{g+1}{2} \leq d \leq
g-2.$ We also obtain, for each $g \geq 5,$ a divisor on $C_{g-1}$ with
non-equidimensional stable base locus. For a general hyperelliptic curve $C$ of
genus $g,$ we obtain a complete description of the effective cone of $C_{d}$
for $2 \leq d \leq g$ and an integral divisor on $C_{g-1}$ which has
non-integral volume whenever $g$ is not a power of 2.


title:
A simultaneous explanation of the large phase in B_s-\bar B_s mixing and
  B --> \pi\pi / \pi K puzzles in R-parity violating supersymmetry

abstract:
  Recent data on $B$ meson mixings and decays are, in general, in accord with
the standard model expectations, except showing a few hiccups: (i) a large
phase in $B_s$ mixing, (ii) a significant difference ($> 3.5 \sigma$) between
CP-asymmetries in $B^\pm \to \pi^0 K^\pm$ and $B_d \to \pi^\mp K^\pm$ channels,
and (iii) a larger than expected branching ratio in $B_d \to \pi^0\pi^0$
channel. We show that selective baryon number violating Yukawa couplings in
R-parity violating supersymmetry can reconcile all the measurements.


title: Moduli stabilization and the pattern of sparticle spectra

abstract:
  We discuss the pattern of low energy sparticle spectra which appears in some
class of moduli stabilization scenario. In case that light moduli are
stabilized by non-perturbative effects encoded in the superpotential and a
phenomenologically viable de Sitter vacuum is obtained by a sequestered
supersymmetry breaking sector, the anomaly-mediated soft terms become
comparable to the moduli-mediated ones, leading to a quite distinctive pattern
of low energy spacticle masses dubbed the mirage mediation pattern. We also
discuss low energy sparticle masses in more general mixed-mediation scenario
which includes a comparable size of gauge mediation in addition to the moduli
and anomaly mediations.


title:
Symplectic-dilation mixed wavelet transform and its correspondence in
  quantum optics

abstract:
  The symplectic wavelet transformation [Opt. Lett. 31 (2006) 3432], which is
related to quantum optical Fresnel transform, is developed to the
symplectic-dilation mixed wavelet transform (SDWT). The SDWT involves both a
real-variable dilation-transform and a complex-variable symplectic transform,
and possesses well-behaved properties such as Parseval theorem and inversion
formula. The entangled-coherent state representation (ESCR) not only underlies
the SDWT, but also helps to derive the corresponding quantum transform operator
whose counterpart in classical optics is the lens-Fresnel mixed transform
[Phys. Lett. A 357 (2006) 163].


title: On Hyperelliptic Abelian Functions of Genus 3

abstract:
  The affine ring A of the affine Jacobian variety of a hyperelliptic curve of
genus 3 is studied as a D-module. The conjecture on the minimal D-free
resolution previously proposed is proved in this case. As a by-product a linear
basis of A is explicitly constructed in terms of derivatives of Klein's
hyperelliptic pe functions.


title: Quantum Entropy Function from AdS(2)/CFT(1) Correspondence

abstract:
  We review and extend recent attempts to find a precise relation between
extremal black hole entropy and degeneracy of microstates using AdS_2/CFT_1
correspondence. Our analysis leads to a specific relation between degeneracy of
black hole microstates and an appropriately defined partition function of
string theory on the near horizon geometry, -- named the quantum entropy
function. In the classical limit this reduces to the usual relation between
statistical entropy and Wald entropy.


title:
Implied volatility explosions: European calls and implied volatilities
  close to expiry in exponential L\'evy models

abstract:
  We examine the small expiry behaviour of European call options in stock price
models of exponential L\'evy type. In most cases of interest, we are able to
identify the exact small expiry asymptotics. In "complete generality" we are
able to show that the time value of the call option has O(\tau) decay as \tau
(time to expiry) goes to zero. Using our results on the behaviour of call
options close to expiry we show that implied volatility explodes as
$\tau\to0^+$ in "most" exponential L\'evy models. Attention is restricted to
calls and implied volatilities that are not at-the-money.


title: Simulation of Quantum Error Correcting Code

abstract:
  This study considers implementations of error correction in a simulation
language on a classical computer. Error correction will be necessarily in
quantum computing and quantum information. We will give some examples of the
implementations of some error correction codes. These implementations will be
made in a more general quantum simulation language on a classical computer in
the language Mathematica. The intention of this research is to develop a
programming language that is able to make simulations of all quantum algorithms
and error corrections in the same framework. The program code implemented on a
classical computer will provide a connection between the mathematical
formulation of quantum mechanics and computational methods. This gives us a
clear uncomplicated language for the implementations of algorithms.


abstract: We show that Hilbert schemes for quantum planes are projective.


title:
Demonstrating Heisenberg-limited unambiguous phase estimation without
  adaptive measurements

abstract:
  We derive, and experimentally demonstrate, an interferometric scheme for
unambiguous phase estimation with precision scaling at the Heisenberg limit
that does not require adaptive measurements. That is, with no prior knowledge
of the phase, we can obtain an estimate of the phase with a standard deviation
that is only a small constant factor larger than the minimum physically allowed
value. Our scheme resolves the phase ambiguity that exists when multiple passes
through a phase shift, or NOON states, are used to obtain improved phase
resolution. Like a recently introduced adaptive technique [Higgins et al 2007
Nature 450 393], our experiment uses multiple applications of the phase shift
on single photons. By not requiring adaptive measurements, but rather using a
predetermined measurement sequence, the present scheme is both conceptually
simpler and significantly easier to implement. Additionally, we demonstrate a
simplified adaptive scheme that also surpasses the standard quantum limit for
single passes.


title: Nonuniform hyperbolicity for C^1-generic diffeomorphisms

abstract:
  We study the ergodic theory of non-conservative C^1-generic diffeomorphisms.
First, we show that homoclinic classes of arbitrary diffeomorphisms exhibit
ergodic measures whose supports coincide with the homoclinic class. Second, we
show that generic (for the weak topology) ergodic measures of C^1-generic
diffeomorphisms are nonuniformly hyperbolic: they exhibit no zero Lyapunov
exponents. Third, we extend a theorem by Sigmund on hyperbolic basic sets:
every isolated transitive set L of any C^1-generic diffeomorphism f exhibits
many ergodic hyperbolic measures whose supports coincide with the whole set L.
In addition, confirming a claim made by R. Man\'e in 1982, we show that
hyperbolic measures whose Oseledets splittings are dominated satisfy Pesin's
Stable Manifold Theorem, even if the diffeomorphism is only C^1.


title:
The Lopsidedness of Present-Day Galaxies: Connections to the Formation
  of Stars, the Chemical Evolution of Galaxies, and the Growth of Black Holes

abstract:
  We have used the Sloan Digital Sky Survey (SDSS) to undertake an
investigation of lopsidedness in a sample of ~25,000 nearby galaxies (z <
0.06). We use the m=1 azimuthal Fourier mode between the 50% and 90% light
radii as our measure of lopsidedness. The SDSS spectra are used to measure the
properties of the stars, gas, and black hole in the central-most few-kpc-scale
region. We show that there is a strong link between lopsidedness in the outer
parts of the galactic disk and the youth of the stellar population in the
central region. This link is independent of the other structural properties of
the galaxy. These results provide a robust statistical characterization of the
connections between accretion/interactions/mergers and the resulting star
formation. We also show that residuals in the galaxy mass-metallicity relation
correlate with lopsidedness (at fixed mass, the more metal-poor galaxies are
more lopsided). This suggests that the events causing lopsidedness and enhanced
star formation deliver lower metallicity gas into the galaxy's central region.
Finally, we find that there is a trend for the more powerful active galactic
nuclei to be hosted by more lopsided galaxies (at fixed galaxy mass, density,
or concentration). However if we compare samples matched to have both the same
structures and central stellar populations, we then find no difference in
lopsidedness between active and non-active galaxies. This leads to the
following picture. The presence of cold gas in the central region of a galaxy
(irrespective of its origin) is essential for both star-formation and black
hole growth. The delivery of cold gas is aided by the processes that produce
lopsidedness. Other processes on scales smaller than we can probe with our data
are required to transport the gas to the black hole.


title: Unparticles and electroweak symmetry breaking

abstract:
  We investigate a scalar potential inspired by the unparticle sector for the
electroweak symmetry breaking. The scalar potential contains the interaction
between the standard model fields and unparticle sector. It is described by the
non-integral power of fields that originates from the nontrivial scaling
dimension of the unparticle operator. It is found that the electroweak symmetry
is broken at tree level when the interaction is turned on. The scale invariance
of unparticle sector is also broken simultaneously, resulting in a physical
Higgs and a new lighter scalar particle.


title:
Perturbation Theory of Neutrino Oscillation with Nonstandard Neutrino
  Interactions

abstract:
  We discuss various physics aspects of neutrino oscillation with non-standard
interactions (NSI). We formulate a perturbative framework by taking \Delta
m^2_{21} / \Delta m^2_{31}, s_{13}, and the NSI elements \epsilon_{\alpha
\beta} (\alpha, \beta = e, \mu, \tau) as small expansion parameters of the same
order \epsilon. Within the \epsilon perturbation theory we obtain the S matrix
elements and the neutrino oscillation probability formula to second order
(third order in \nu_e related channels) in \epsilon. The formula allows us to
estimate size of the contribution of any particular NSI element
\epsilon_{\alpha beta} to the oscillation probability in arbitrary channels,
and gives a global bird-eye view of the neutrino oscillation phenomena with
NSI. Based on the second-order formula we discuss how all the conventional
lepton mixing as well as NSI parameters can be determined. Our results shows
that while \theta_{13}, \delta, and the NSI elements in \nu_e sector can in
principle be determined, complete measurement of the NSI parameters in the
\nu_\mu - \nu_\tau sector is not possible by the rate only analysis. The
discussion for parameter determination and the analysis based on the matter
perturbation theory indicate that the parameter degeneracy prevails with the
NSI parameters. In addition, a new solar-atmospheric variable exchange
degeneracy is found. Some general properties of neutrino oscillation with and
without NSI are also illuminated.


title: Aligning VLBI Images of Active Galactic Nuclei at Different Frequencies

abstract:
  Many important techniques for investigating the properties of extragalactic
radio sources, such as spectral-index and rotation-measure mapping, involve the
comparison of images at two or more frequencies. In the case of radio
interferometric data, this can be done by comparing the CLEAN maps obtained at
the different frequencies. However, intrinsic differences in images due to the
frequency dependence of the radio emission can be distorted by additional
differences that arise due to source variability (if the data to be compared is
obtained at different times), image misalignment, and the frequency dependence
of the sensitivity to weak emission and the angular resolution provided by the
observations (the resolution of an interferometer depends on the lengths of its
baselines in units of the observing wavelength). These effects must be
corrected for as best as possible before multi-frequency data comparison
techniques can be applied. We consider the origins for the afore-mentioned
factors, outline the standard techniques used to overcome these difficulties,
and describe in detail a technique developed by us, based on the
cross-correlation technique widely used in other fields, to correct for
misalignments between maps at different frequencies.


title:
Quasi-local variables, non-linear perturbations and back-reaction in
  spherically symmetric spacetimes

abstract:
  We introduce a quasi-local integral functional and scalar quasi-local
variables to examine a wide class of spherically symmetric inhomogeneous
spacetimes that generalize the Lemaitre-Tolman-Bondi (LTB) dust solutions
("LTB" spacetimes). By using these variables, we can transform the fluid flow
evolution equations into evolution equations for non-linear, covariant,
gauge--invariant perturbations of Friedman-Lemaitre-Robertson-Walker (FLRW)
cosmologies. In the linear limit, we obtain spherical perturbations in the
synchronous gauge under the long wavelength approximation. The formalism has a
significant potential for cosmological applications, as it allows one to
examine a wide variety of sources with different "equations of state",
generalizing known FLRW solutions to idealized but non-trivial and non-linear
inhomogeneous conditions. The quasi-local functional can be reformulated as a
weighed proper volume average distribution, with the weight factor given by a
scalar invariant related to the quasi-local mass-energy function. The
back-reaction terms, emerging in Buchert's proper averaging formalism, can be
expressed as differences between fluctuations of averaged and quasi-local
energy densities. By comparing this average with the weighed quasi-local one,
we can define a binding energy functional related to spatial gradients of the
averaged and quasi-local variables that appear in the back-reaction terms.


title: Estimates for singular integrals along surfaces of revolution

abstract:
  We prove certain $L^p$ estimates ($1<p<\infty$) for non-isotropic singular
integrals along surfaces of revolution. As an application we obtain $L^p$
boundedness of the singular integrals under a sharp size condition on their
kernels.


title: Magnetism, FeS colloids, and Origins of Life

abstract:
  A number of features of living systems: reversible interactions and weak
bonds underlying motor-dynamics; gel-sol transitions; cellular connected
fractal organization; asymmetry in interactions and organization; quantum
coherent phenomena; to name some, can have a natural accounting via $physical$
interactions, which we therefore seek to incorporate by expanding the horizons
of `chemistry-only' approaches to the origins of life. It is suggested that the
magnetic 'face' of the minerals from the inorganic world, recognized to have
played a pivotal role in initiating Life, may throw light on some of these
issues. A magnetic environment in the form of rocks in the Hadean Ocean could
have enabled the accretion and therefore an ordered confinement of
super-paramagnetic colloids within a structured phase. A moderate H-field can
help magnetic nano-particles to not only overcome thermal fluctuations but also
harness them. Such controlled dynamics brings in the possibility of accessing
quantum effects, which together with frustrations in magnetic ordering and
hysteresis (a natural mechanism for a primitive memory) could throw light on
the birth of biological information which, as Abel argues, requires a
combination of order and complexity. This scenario gains strength from
observations of scale-free framboidal forms of the greigite mineral, with a
magnetic basis of assembly. And greigite's metabolic potential plays a key role
in the mound scenario of Russell and coworkers-an expansion of which is
suggested for including magnetism.


title:
Quadratic pencil of difference equations: Jost solutions, spectrum, and
  principal vectors

abstract:
  In this paper, a quadratic pencil of Schr\"odinger type difference operator
$L_{\lambda}$ is taken under investigation to give a general perspective on the
spectral analysis of non-selfadjoint difference equations of second order.
Introducing Jost-type solutions, structural and quantitative properties of
spectrum of the operator $L_{\lambda}$ are analyzed and hence, a discrete
analog of the theory in Degasperis, (\emph{J.Math.Phys}. 11: 551--567, 1970)
and Bairamov et. al, (\emph{Quaest. Math.} 26: 15--30, 2003) is developed. In
addition, several analogies are established between difference and
$q$-difference cases. Finally, the principal vectors of $L_{\lambda}$ are
introduced to lay a groundwork for the spectral expansion.
  Mathematics Subject Classification (2000): 39A10, 39A12, 39A13


title:
Variational formulation of the electromagnetic radiation-reaction
  problem

abstract:
  A fundamental issue in classical electrodynamics is represented by the search
of the exact equation of motion for a classical charged particle under the
action of its electromagnetic (EM) self-field - the so-called
radiation-reaction equation of motion (RR equation). In the past, several
attempts have been made assuming that the particle electric charge is localized
point-wise (point-charge). These involve the search of possible so-called
"regularization" approaches able to deal with the intrinsic divergences
characterizing point-particle descriptions in classical electrodynamics. In
this paper we intend to propose a new solution to this problem based on the
adoption of a variational approach and the treatment of finite-size
spherical-shell charges. The approach is based on three key elements: 1) the
adoption of the relativistic synchronous Hamilton variational principle
recently pointed out (Tessarotto et al, 2006); 2) the variational treatment of
the EM self-field, for finite-size charges, taking into account the exact
particle dynamics; 3) the adoption of the axioms of classical mechanics and
electrodynamics. The new RR equation proposed in this paper, departing
significantly from previous approaches, exhibits several interesting
properties. In particular: a) unlike the LAD (Lorentz-Abraham-Dirac) equation,
it recovers a second-order ordinary differential equation which is fully
consistent with the law of inertia, Newton principle of determinacy and
Einstein causality principle and b) unlike the LL (Landau-Lifschitz) equation,
it holds also in the case of sudden forces. In addition, it is found that the
new equation recovers the customary LAD equation in a suitable asymptotic
approximation.


title: Development of a large area gas photomultiplier with GEM/$\mu$PIC

abstract:
  We are developing a new photon detector with micro pattern gaseous detectors.
A semitransparent CsI photocathode is combined with 10cm$\times$10cm
GEM/$\mu$PIC for the first prototype which is aimed for the large liquid Xe
detectors. Using Ar+C$_2$H$_6$ (10%) gas, we achieved the gas gain of $10^5$
which is enough to detect single photoelectron. We, then, irradiated UV photons
from a newly developed solid scintillator, LaF$_3$(Nd), to the detector and
successfully detected single photoelectron.


title: Orbital stability property for coupled nonlinear Schr\"odinger equations

abstract:
  Orbital stability property for weakly coupled nonlinear Schr\"odinger
equations is investigated. Different families of orbitally stable standing
waves solutions will be found, generated by different classes of solutions of
the associated elliptic problem. In particular, orbitally stable standing waves
can be generated by least action solutions, but also by solutions with one
trivial component whether or not they are ground states. Moreover, standing
waves with components propagating with the same frequencies are orbitally
stable if generated by vector solutions of a suitable single Schr\"odinger
weakly coupled system, even if they are not ground states.


title: Block Density Matrix Renormalization Group with Effective Interactions

abstract:
  Based on the contractor renormalization group (CORE) method and the density
matrix renormalization group (DMRG) method, a new computational scheme, which
is called the block density matrix renormalization group with effective
interactions (BDMRG-EI), is proposed to deal with the numerical computation of
quantum correlated systems. Different from the convential CORE method in the
ways of calculating the blocks and the fragments, where the DMRG method instead
of the exact diagonalization is employed in BDMRG-EI, DMRG-EI makes the
calculations of larger blocks and fragments applicable. Integrating DMRG's
advantage of high accuracy and CORE's advantage of low computational costs,
BDMRG-EI can be widely used for the theoretical calculations of the ground
state and low-lying excited states of large systems with simple or complicated
connectivity. Test calculations on a 240 site one-dimensional chain and a
double-layer polyacene oligomer containing 48 hexagons demonstrate the
efficiency and potentiality of the method.


title: BRST structure of non-linear superalgebras

abstract:
  In this paper we analyse the structure of the BRST charge of nonlinear
superalgebras. We consider quadratic non-linear superalgebras where a
commutator (in terms of (super) Poisson brackets) of the generators is a
quadratic polynomial of the generators. We find the explicit form of the BRST
charge up to cubic order in Faddeev-Popov ghost fields for arbitrary quadratic
nonlinear superalgebras. We point out the existence of constraints on structure
constants of the superalgebra when the nilpotent BRST charge is quadratic in
Faddeev-Popov ghost fields. The general results are illustrated by simple
examples of superalgebras.


title:
Restless quiescence: thermonuclear flashes between transient X-ray
  outbursts

abstract:
  For thermonuclear flashes to occur on neutron-star surfaces, fuel must have
been accreted from a donor star. However, sometimes flashes are seen from
transient binary systems when they are thought to be in their quiescent phase,
during which no accretion, or relatively little, is expected to occur. We
investigate the accretion luminosity during several such flashes, including the
first-ever and brightest detected flash from Cen X-4 in 1969. We infer from
observations and theory that immediately prior to these flashes the accretion
rate must have been between about 0.001 and 0.01 times the equivalent of the
Eddington limit, which is roughly 2 orders of magnitude less than the peak
accretion rates seen in these transients during an X-ray outburst and 3-4
orders of magnitude more than the lowest measured values in quiescence.
Furthermore, three such flashes, including the one from Cen X-4, occurred
within 2 to 7 days followed by an X-ray outburst. A long-term episode of
enhanced, but low-level, accretion is predicted near the end of the quiescent
phase by the disk-instability model, and may thus have provided the right
conditions for these flashes to occur. We discuss the possibility of whether
these flashes acted as triggers of the outbursts, signifying a dramatic
increase in the accretion rate. Although it is difficult to rule out, we find
it unlikely that the irradiance by these flashes is sufficient to change the
state of the accretion disk in such a dramatic way.


title: Depinning frequency in a heavily neutron-irradiated MgB2 sample

abstract:
  The magnetic-field-induced variations of the microwave surface resistance
have been investigated in a heavily neutron-irradiated MgB2 sample, in which
the irradiation has caused the merging of the two gaps into a single value. The
experimental results have been analyzed in the framework of the Coffey and Clem
model. By fitting the experimental data, we have determined the field
dependence of the depinning frequency, omega_0, at different values of the
temperature. Although the pinning is not particularly effective, the value of
omega_0 obtained at low temperatures is considerably higher than that observed
in conventional low-temperature superconductors.


title: Properties of asymmetric nuclear matter in different approaches

abstract:
  Properties of asymmetric nuclear matter are derived from various many-body
approaches. This includes phenomenological ones like the Skyrme Hartree-Fock
and relativistic mean field approaches, which are adjusted to fit properties of
nuclei, as well as more microscopic attempts like the Brueckner-Hartree-Fock
approximation, a self-consistent Greens function method and the so-called
$V_{lowk}$ approach, which are based on realistic nucleon-nucleon interactions
which reproduce the nucleon-nucleon phase shifts. These microscopic approaches
are supplemented by a density-dependent contact interaction to achieve the
empirical saturation property of symmetric nuclear matter. The predictions of
all these approaches are discussed for nuclear matter at high densities in
$\beta$-equilibrium. Special attention is paid to behavior of the isovector
component of the effective mass in neutron-rich matter.


title:
Non-Perturbative Contribution to the Thrust Distribution in $e^+ e^-$
  Annihilation

abstract:
  We re-evaluate the non-perturbative contribution to the thrust distribution
in $e^+e^-\to$ hadrons, in the light of the latest experimental data and the
recent NNLO perturbative calculation of this quantity. By extending the
calculation to NNLO+NLL accuracy, we perform the most detailed study to date of
the effects of non-perturbative physics on this observable. In particular, we
investigate how well a model based on a low-scale QCD effective coupling can
account for such effects. We find that the difference between the improved
perturbative distribution and the experimental data is consistent with a
$1/Q$-dependent non-perturbative shift in the distribution, as predicted by the
effective coupling model. Best fit values of $\alpha_s(M_Z) =
0.1164^{+0.0028}_{-0.0026}$ and $\alpha_0(2 GeV)=0.59+/-0.03$ are obtained with
$\chi^2/d.o.f.=1.09$. This is consistent with NLO+NLL results but the quality
of fit is improved. The agreement in $\alpha_0$ is non-trivial because a part
of the 1/Q-dependent contribution (the infrared renormalon) is included in the
NNLO perturbative correction.


title: Block diagonalisation of four-dimensional metrics

abstract:
  It is shown that, in four dimensions, it is possible to introduce coordinates
so that an analytic metric locally takes block diagonal form. i.e. one can find
coordinates such that $g_{\alpha\beta} = 0$ for $(\alpha, \beta) \in S$ where
$S = {(1, 3), (1, 4), (2, 3), (2, 4)}$. We call a coordinate system in which
the metric takes this form a 'doubly biorthogonal coordinate system'. We show
that all such coordinate systems are determined by a pair of coupled
second-order partial differential equations.


title: Nonlinear response and fluctuation dissipation relations

abstract:
  A unified derivation of the off equilibrium fluctuation dissipation relations
(FDR) is given for Ising and continous spins to arbitrary order, within the
framework of Markovian stochastic dynamics. Knowledge of the FDR allows to
develop zero field algorithms for the efficient numerical computation of the
response functions. Two applications are presented. In the first one, the
problem of probing for the existence of a growing cooperative length scale is
considered in those cases, like in glassy systems, where the linear FDR is of
no use. The effectiveness of an appropriate second order FDR is illustrated in
the test case of the Edwards-Anderson spin glass in one and two dimensions. In
the second one, the important problem of the definition of an off equilibrium
effective temperature through the nonlinear FDR is considered. It is shown
that, in the case of coarsening systems, the effective temperature derived from
the second order FDR is consistent with the one obtained from the linear FDR.


title: The critical behavior of three-dimensional Ising spin glass models

abstract:
  We perform high-statistics Monte Carlo simulations of three-dimensional Ising
spin-glass models on cubic lattices of size L: the +- J (Edwards-Anderson)
Ising model for two values of the disorder parameter p, p=0.5 and p=0.7 (up to
L=28 and L=20, respectively), and the bond-diluted bimodal model for
bond-occupation probability p_b = 0.45 (up to L=16). The finite-size behavior
of the quartic cumulants at the critical point allows us to check very
accurately that these models belong to the same universality class. Moreover,
it allows us to estimate the scaling-correction exponent \omega related to the
leading irrelevant operator: \omega=1.0(1). Shorter Monte Carlo simulations of
the bond-diluted bimodal models at p_b=0.7 and p_b=0.35 (up to L=10) and of the
Ising spin-glass model with Gaussian bond distribution (up to L=8) also support
the existence of a unique Ising spin-glass universality class. A careful
finite-size analysis of the Monte Carlo data which takes into account the
analytic and the nonanalytic corrections to scaling allows us to obtain precise
and reliable estimates of the critical exponents \nu and \eta: we obtain
\nu=2.45(15) and \eta=-0.375(10).


title: Unary Automatic Graphs: An Algorithmic Perspective

abstract:
  This paper studies infinite graphs produced from a natural unfolding
operation applied to finite graphs. Graphs produced via such operations are of
finite degree and automatic over the unary alphabet (that is, they can be
described by finite automata over unary alphabet). We investigate algorithmic
properties of such unfolded graphs given their finite presentations. In
particular, we ask whether a given node belongs to an infinite component,
whether two given nodes in the graph are reachable from one another, and
whether the graph is connected. We give polynomial-time algorithms for each of
these questions. For a fixed input graph, the algorithm for the first question
is in constant time and the second question is decided using an automaton that
recognizes the reachability relation in a uniform way. Hence, we improve on
previous work, in which non-elementary or non-uniform algorithms were found.


title:
Collisions of paramagnetic molecules in magnetic fields: an analytic
  model based on Fraunhofer diffraction of matter waves

abstract:
  We investigate the effects of a magnetic field on the dynamics of
rotationally inelastic collisions of open-shell molecules ($^2\Sigma$,
$^3\Sigma$, and $^2\Pi$) with closed-shell atoms. Our treatment makes use of
the Fraunhofer model of matter wave scattering and its recent extension to
collisions in electric [M. Lemeshko and B. Friedrich, J. Chem. Phys.
\textbf{129}, 024301 (2008)] and radiative fields [M. Lemeshko and B.
Friedrich, Int. J. Mass. Spec. in press (2008)]. A magnetic field aligns the
molecule in the space-fixed frame and thereby alters the effective shape of the
diffraction target. This significantly affects the differential and integral
scattering cross sections. We exemplify our treatment by evaluating the
magnetic-field-dependent scattering characteristics of the He -- CaH ($X
^2\Sigma^+$), He -- O$_2$ ($X ^3\Sigma^-$) and He -- OH ($X ^2\Pi_{\Omega}$)
systems at thermal collision energies. Since the cross sections can be obtained
for different orientations of the magnetic field with respect to the relative
velocity vector, the model also offers predictions about the
frontal-versus-lateral steric asymmetry of the collisions. The steric asymmetry
is found to be almost negligible for the He -- OH system, weak for the He --
CaH collisions, and strong for the He -- O$_2$. While odd $\Delta M$
transitions dominate the He -- OH $(J=3/2,f \to J', e/f)$ integral cross
sections in a magnetic field parallel to the relative velocity vector, even
$\Delta M$ transitions prevail in the case of the He -- CaH ($X ^2\Sigma^+$)
and He -- O$_2$ ($X ^3\Sigma^-$) collision systems. For the latter system, the
magnetic field opens inelastic channels that are closed in the absence of the
field. These involve the transitions $N=1, J=0 \to N', J' $ with $J'=N'$.


title: Inversion of noisy Radon transform by SVD based needlet

abstract:
  A linear method for inverting noisy observations of the Radon transform is
developed based on decomposition systems (needlets) with rapidly decaying
elements induced by the Radon transform SVD basis. Upper bounds of the risk of
the estimator are established in $L^p$ ($1\le p\le \infty$) norms for functions
with Besov space smoothness. A practical implementation of the method is given
and several examples are discussed.


title: Phase Diagram for Nflation

abstract:
  Recently, it was showed that there is a large N phase transition in Nflation,
in which when the number of fields is large enough, the slow roll inflation
phase will disappear. In this brief report, we illustrate the phase diagram for
Nflation, and discuss the entropy bound and some relevant results. It is found
that near the critical point the number of fields saturates dS entropy.


title:
Electromagnetic Form Factors of Nucleons with QCD Constraints Sytematic
  Study of the Space and Time-like Regions

abstract:
  Elastic electromagnetic form factors of nucleons are investigated both for
the time-like and the space-like momentums under the condition that the QCD
constraints are satisfied asymptotically. The unsubtracted dispersion relation
with the superconvergence conditions are used as a realization of the QCD
conditions. The experimental data are analyzed by using the dispersion formula
and it is shown that the calculated form factors reproduce the experimental
data reasonably well.


title: A Wong-Rosay type theorem for proper holomorphic self-maps

abstract:
  We show that the only proper-holomorphic self-maps of bounded domains in C^k
whose dynamics escape to a strictly pseudoconvex point of the boundary are
automorphisms of the euclidean ball. This is a Wong-Rosay type result for a
sequence of maps whose degrees are a priori unbounded.


title: Predicting spin of compact objects from their QPOs: A global QPO model

abstract:
  We establish a unified model to explain Quasi-Periodic-Oscillation (QPO)
observed from black hole and neutron star systems globally. This is based on
the accreting systems thought to be damped harmonic oscillators with higher
order nonlinearity. The model explains multiple properties parallelly
independent of the nature of the compact object. It describes QPOs successfully
for several compact sources. Based on it, we predict the spin frequency of the
neutron star Sco X-1 and the specific angular momentum of black holes GRO
J1655-40, GRS 1915+105.


title: Hyperon bulk viscosity in strong magnetic fields

abstract:
  We study the bulk viscosity of neutron star matter including $\Lambda$
hyperons in the presence of quantizing magnetic fields. Relaxation time and
bulk viscosity due to both the non-leptonic weak process involving $\Lambda$
hyperons and direct Urca processes are calculated here. In the presence of a
strong magnetic field of $10^{17}$ G, the hyperon bulk viscosity coefficient is
reduced whereas bulk viscosity coefficients due to direct Urca processes are
enhanced compared with their field free cases when many Landau levels are
populated by protons, electrons and muons.


title:
Spin noise spectroscopy in GaAs (110) quantum wells: Access to intrinsic
  spin lifetimes and equilibrium electron dynamics

abstract:
  In this letter, the first spin noise spectroscopy measurements in
semiconductor systems of reduced effective dimensionality are reported. The
non-demolition measurement technique gives access to the otherwise concealed
intrinsic, low temperature electron spin relaxation time of n-doped GaAs (110)
quantum wells and to the corresponding low temperature anisotropic spin
relaxation. The Brownian motion of the electrons within the spin noise probe
laser spot becomes manifest in a modification of the spin noise line width.
Thereby, the spatially resolved observation of the stochastic spin polarization
uniquely allows to study electron dynamics at equilibrium conditions with a
vanishing total momentum of the electron system.


title:
Suzaku Observations of M82 X-1 : Detection of a Curved Hard X-ray
  Spectrum

abstract:
  A report is presented on Suzaku observations of the ultra-luminous X-ray
source X-1 in the starburst galaxy M82, made three time in 2005 October for an
exposure of ~ 30 ks each. The XIS signals from a region of radius 3 around the
nucleus defined a 2-10 keV flux of 2.1 x 10^-11 erg s-1 cm-2 attributable to
point sources. The 3.2-10 keV spectrum was slightly more convex than a
power-law with a photon index of 1.7. In all observations, the HXD also
detected signals from M82 up to ~ 20 keV, at a 12-20 keV flux of 4.4 x 10^-12
erg s-1 cm-2 . The HXD spectrum was steeper than that of the XIS. The XIS and
HXD spectra can be jointly reproduced by a cutoff power-law model, or similar
curved models. Of the detected wide-band signals, 1/3 to 2/3 are attributable
to X-1, while the remainder to other discrete sources in M82. Regardless of the
modeling of these contaminants, the spectrum attributable to X-1 is more curved
than a power-law, with a bolometric luminosity of (1.5 -3) x 10 ^40 erg s-1.
These results are interpreted as Comptonized emission from a black hole of
100-200 solar masses, radiating roughly at the Eddington luminosity.


title: Photoproduction of $\eta$ mesons off neutrons from a deuteron target

abstract:
  A formalism is developed for the partial wave analysis of data on meson
photoproduction off deuterons and applied to photoproduction of $\eta$ and
$\pi^0$ mesons. Different interpretations of a dip-bump structure of the $\eta$
photoproduction cross section in the 1670 MeV region are presented and
discussed. Helicity amplitudes for two low-mass $S_{11}$ states are determined.


title: On an extension of the notion of Reedy category

abstract:
  We extend the classical notion of a Reedy category so as to allow non-trivial
automorphisms. Our extension includes many important examples occuring in
topology such as Segal's category Gamma, or the total category of a crossed
simplicial group such as Connes' cyclic category Lambda. For any generalized
Reedy category R and any cofibrantly generated model category E, the functor
category E^R is shown to carry a canonical model structure of Reedy type.


title: CN Neutrinos and the Sun's Primordial Core Metalicity

abstract:
  I discuss the use of neutrinos from the CN cycle and pp chain to constrain
the primordial solar core abundances of C and N at an interesting level of
precision. A comparison of the Sun's deep interior and surface compositions
would test a key assumption of the standard solar model (SSM), a homogeneous
zero-age Sun. It would also provide a cross-check on recent photospheric
abundance determinations that have altered the once excellent agreement between
the SSM and helioseismology. Motivated by the discrepancy between
convective-zone abundances and helioseismology, I discuss the possibility that
a two-zone Sun could emerge from late-stage metal differentiation in the solar
nebula connected with formation of the gaseous giant planets.


title:
Broken time-reversal symmetry in Josephson junction involving two-band
  superconductors

abstract:
  A novel time-reversal symmetry breaking state is found theoretically in the
Josephson junction between the two-gap superconductor and the conventional
s-wave superconductor. This occurs due to the frustration between the three
order parameters analogous to the two antiferromagnetically coupled XY-spins
put under a magnetic field. This leads to the interface states with the
energies inside the superconducting gap. Possible experimental observations of
this state with broken time-reversal symmetry are discussed.


title: The construction and commissioning of the CMS Silicon Strip Tracker

abstract:
  As the start up date for LHC approaches, the detectors are readying for data
taking. Here a review will be given on the construction phase with insights
into the various difficulties encountered during the process. An overview will
also be given of the commissioning strategy and results obtained so far.
  The CMS tracker is the largest silicon microstrip detector ever built.
Consisting of three main subsystems, Inner Barrel and Disks, Outer Barrel and
End Caps, it is 5.4m long and is 2.4m in diameter. Total detector surface is an
unprecedented 200m^2 with more than 15000 detector modules.
  The various integration procedures and quality checks implemented are briefly
reviewed. Finally an overview is given of checkout procedures performed at
CERN, after the final underground installation of the detector.


title:
Turbulent magnetic Prandtl numbers obtained with MHD Taylor-Couette flow
  experiments

abstract:
  The stability problem of MHD Taylor-Couette flows with toroidal magnetic
fields is considered in dependence on the magnetic Prandtl number. Only the
most uniform (but not current-free) field with B\_in = B\_out has been
considered. For high enough Hartmann numbers the toroidal field is always
unstable. Rigid rotation, however, stabilizes the magnetic (kink-)instability.
  The axial current which drives the instability is reduced by the
electromotive force induced by the instability itself. Numerical simulations
are presented to probe this effect as a possibility to measure the turbulent
conductivity in a laboratory. It is shown numerically that in a sodium
experiment (without rotation) an eddy diffusivity 4 times the molecular
diffusivity appears resulting in a potential difference of ~34 mV/m. If the
cylinders are rotating then also the eddy viscosity can be measured. Nonlinear
simulations of the instability lead to a turbulent magnetic Prandtl number of
2.1 for a molecular magnetic Prandtl number of 0.01. The trend goes to higher
values for smaller Pm.


title: Homology of Generic Stabilizer States

abstract:
  This work is concerned with multi-party stabilizer states in the sense of
quantum information theory. We investigate the homological invariants for
states of which each party holds a large equal number N of quantum bits. We
show that in many cases there is a generic expected value of the invariants:
for large N it is approximated with arbitrarily high probability if a
stabilizer state is chosen at random. The result suggests that typical
entanglement of stabilizer states involves but the sets comprising just over
one half of the parties. Our main tool is the Bruhat decomposition from the
theory of finite Chevalley groups.


title: Phase-space structures in quantum-plasma wave turbulence

abstract:
  The quasilinear theory of the Wigner-Poisson system in one spatial dimension
is examined. Conservation laws and properties of the stationary solutions are
determined. Quantum effects are shown to manifest themselves in transient
periodic oscillations of the averaged Wigner function in velocity space. The
quantum quasilinear theory is checked against numerical simulations of the
bump-on-tail and the two-stream instabilities. The predicted wavelength of the
oscillations in velocity space agrees well with the numerical results.


title: Extreme field physics and QED

abstract:
  We give a brief overview of the most important QED effects that can be
studied in the presence of extreme fields such as those expected at the Vulcan
laser upgraded to a power of 10 Petawatts.


title:
Large-scale structure formation in cosmology with classical and
  tachyonic scalar fields

abstract:
  The evolution of scalar perturbations is studied for 2-component
(non-relativistic matter and dark energy) cosmological models at the linear and
non-linear stages. The dark energy is assumed to be the scalar field with
either classical or tachyonic Lagrangian and constant equation-of-state
parameter w. The fields and potentials were reconstructed for the set of
cosmological parameters derived from observations. The comparison of the
calculated within these models and experimental large-scale structure
characteristics is made. It is shown that for w=const such analysis can't
remove the existing degeneracy of the dark energy models.


title: Vsop2/Astro-G Project

abstract:
  We introduce a new space VLBI project, the Second VLBI Space Observatory
Program (VSOP2), following the success of the VLBI Space Observatory Program
(VSOP1). VSOP2 has 10 times higher angular resolution, up to about 40 micro
arcseconds, 10 times higher frequency up to 43 GHz, and 10 times higher
sensitivity compared to VSOP1. Then VSOP2 should become a most powerful tool to
observe innermost regions of AGN and astronomical masers. ASTRO-G is a
spacecraft for VSOP2 project constructing in ISAS/JAXA since July 2007. ASTRO-G
will be launched by JAXA H-IIA rocket in fiscal year 2012. ASTRO-G and
ground-based facilities are combined as VSOP2. To achieve the good observation
performances, we must realize new technologies. They are large precision
antenna, fast-position switching capability, new LNAs, and ultra wide-band down
link, etc.. VSOP2 is a huge observation system involving ASTRO-G, ground radio
telescopes, tracking stations, and correlators, one institute can not prepare a
whole system of VSOP2. Then we must need close international collaboration to
get sufficient quality of resultant maps and to give a sufficient quantity of
observation time for astronomical community. We formed a new international
council to provide guidance on scientific aspects related of VSOP2, currently
called the VSOP2 International Science Council (VISC2).


title: RISE: a fast-readout imager for exoplanet transit timing

abstract:
  By the precise timing of the low amplitude (0.005 - 0.02 magnitude) transits
of exoplanets around their parent star it should be possible to infer the
presence of other planetary bodies in the system down to Earth-like masses. We
describe the design and construction of RISE, a fast-readout frame transfer
camera for the Liverpool Telescope designed to carry out this experiment. The
results of our commissioning tests are described as well as the data reduction
procedure necessary. We present light curves of two objects, showing that the
desired timing and photometric accuracy can be obtained providing that
autoguiding is used to keep the target on the same detector pixel for the
entire (typically 4 hour) observing run.


title:
Generalized Prediction Intervals for Arbitrary Distributed
  High-Dimensional Data

abstract:
  This paper generalizes the traditional statistical concept of prediction
intervals for arbitrary probability density functions in high-dimensional
feature spaces by introducing significance level distributions, which provides
interval-independent probabilities for continuous random variables. The
advantage of the transformation of a probability density function into a
significance level distribution is that it enables one-class classification or
outlier detection in a direct manner.


title: The dual Hilbert-Samuel function of a Maximal Cohen-Macaulay module

abstract:
  Let $R$ be a Cohen-Macaulay local ring with a canonical module $\omega_R$.
Let $I$ be an $\m$-primary ideal of $R$ and $M$, a maximal Cohen-Macaulay
$R$-module. We call the function $n\longmapsto \ell
(\Hom_R(M,{\omega_R}/{I^{n+1} \omega_R}))$ the dual Hilbert-Samuel function of
$M$ with respect to $I$. By a result of Theodorescu this function is a
polynomial function. We study its first two normalized coefficients.


title:
Massive color-octet bosons and the charge asymmetries of top quarks at
  hadron colliders

abstract:
  Several models predict the existence of heavy colored resonances decaying to
top quarks in the TeV energy range that might be discovered at the LHC. In some
of those models, moreover, a sizable charge asymmetry of top versus antitop
quarks might be generated. The detection of these exotic resonances, however,
requires selecting data samples where the top and the antitop quarks are highly
boosted, which is experimentally very challenging. We asses that the
measurement of the top quark charge asymmetry at the LHC is very sensitive to
the existence of excited states of the gluon with axial-vector couplings to
quarks. We use a toy model with general flavour independent couplings, and show
that a signal can be detected with relatively not too energetic top and antitop
quarks. We also compare the results with the asymmetry predicted by QCD, and
show that its highest statistical significance is achieved with data samples of
top-antitop quark pairs of low invariant masses.


title: Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3

abstract:
  We study the Wilson loops and defects in the three dimensional QFT from the
D-branes in the AdS(4) x CP**3 geometry. We find out explicit D-brane
configurations in the bulk which correspond to both straight and circular
Wilson lines extended to the boundary of AdS(4). We analyze critically the role
of boundary contributions to the D2-branes with various topology and to the
fundamental string actions.