title:
Effect of a marginal inclination on pattern formation in a binary liquid
  mixture under thermal stress

abstract:
  Convective motions in a fluid layer are affected by its orientation with
respect to the gravitational field. We investigate the long-term stability of a
thermally-stressed layer of a binary liquid mixture and show that pattern
formation is strongly affected by marginal inclinations as small as a few
milliradians. At small Rayleigh numbers the mass transfer is dominated by the
induced large scale shear flow, while at larger Rayleigh numbers it is
dominated by solutal convection. At the transition, the balance between the
solutal and shear flows gives rise to drifting columnar flows moving in
opposite directions along parallel lanes in a Super-Highway configuration.


title: Weakly contractive maps in altering metric spaces

abstract:
  The weakly contractive metric type fixed point result in Berinde [Nonlinear
Anal. Forum, 9 (2004), 45-53] is "almost" covered by the related altering
metric one due to Khan et al [Bull. Austral. Math. Soc., 30 (1984), 1-9].
Further extensions of these statements are then provided.


title: Digital morphogenesis via Schelling segregation

abstract:
  Schelling's model of segregation looks to explain the way in which particles
or agents of two types may come to arrange themselves spatially into
configurations consisting of large homogeneous clusters, i.e.\ connected
regions consisting of only one type. As one of the earliest agent based models
studied by economists and perhaps the most famous model of self-organising
behaviour, it also has direct links to areas at the interface between computer
science and statistical mechanics, such as the Ising model and the study of
contagion and cascading phenomena in networks.
  While the model has been extensively studied it has largely resisted rigorous
analysis, prior results from the literature generally pertaining to variants of
the model which are tweaked so as to be amenable to standard techniques from
statistical mechanics or stochastic evolutionary game theory. In \cite{BK},
Brandt, Immorlica, Kamath and Kleinberg provided the first rigorous analysis of
the unperturbed model, for a specific set of input parameters. Here we provide
a rigorous analysis of the model's behaviour much more generally and establish
some surprising forms of threshold behaviour, notably the existence of
situations where an \emph{increased} level of intolerance for neighbouring
agents of opposite type leads almost certainly to \emph{decreased} segregation.


title: On log minimal models and Zariski decompositions II

abstract:
  We continue our study of the relation between log minimal models and various
types of Zariski decompositions. Let $(X,B)$ be a projective log canonical
pair. We will show that $(X,B)$ has a log minimal model if either $K_X+B$
birationally has a Nakayama-Zariski decomposition with nef positive part, or
that $K_X+B$ is big and birationally it has a Fujita or CKM Zariski
decomposition. Along the way we introduce polarized pairs $(X,B+P)$ where
$(X,B)$ is a usual projective pair and $P$ is nef, and study the birational
geometry of such pairs.


title: Full-fledged Real-Time Indexing for Constant Size Alphabets

abstract:
  In this paper we describe a data structure that supports pattern matching
queries on a dynamically arriving text over an alphabet ofconstant size. Each
new symbol can be prepended to $T$ in O(1) worst-case time. At any moment, we
can report all occurrences of a pattern $P$ in the current text in $O(|P|+k)$
time, where $|P|$ is the length of $P$ and $k$ is the number of occurrences.
This resolves, under assumption of constant-size alphabet, a long-standing open
problem of existence of a real-time indexing method for string matching (see
\cite{AmirN08}).


title: Long-Range Interaction of Spin-Qubits via Ferromagnets

abstract:
  We propose a mechanism of coherent coupling between distant spin qubits
interacting dipolarly with a ferromagnet. We derive an effective two-spin
interaction Hamiltonian and estimate the coupling strength. We discuss the
mechanisms of decoherence induced solely by the coupling to the ferromagnet and
show that there is a regime where it is negligible. Finally, we present a
sequence for the implementation of the entangling CNOT gate and estimate the
corresponding operation time to be a few tens of nanoseconds. A particularly
promising application of our proposal is to atomistic spin-qubits such as
silicon-based qubits and NV-centers in diamond to which existing coupling
schemes do not apply.


title:
Hierarchical probing for estimating the trace of the matrix inverse on
  toroidal lattices

abstract:
  The standard approach for computing the trace of the inverse of a very large,
sparse matrix $A$ is to view the trace as the mean value of matrix quadratures,
and use the Monte Carlo algorithm to estimate it. This approach is heavily used
in our motivating application of Lattice QCD. Often, the elements of $A^{-1}$
display certain decay properties away from the non zero structure of $A$, but
random vectors cannot exploit this induced structure of $A^{-1}$. Probing is a
technique that, given a sparsity pattern of $A$, discovers elements of $A$
through matrix-vector multiplications with specially designed vectors. In the
case of $A^{-1}$, the pattern is obtained by distance-$k$ coloring of the graph
of $A$. For sufficiently large $k$, the method produces accurate trace
estimates but the cost of producing the colorings becomes prohibitively
expensive. More importantly, it is difficult to search for an optimal $k$
value, since none of the work for prior choices of $k$ can be reused.


title: Decentralized Event-Triggering for Control of Nonlinear Systems

abstract:
  This paper considers nonlinear systems with full state feedback, a central
controller and distributed sensors not co-located with the central controller.
We present a methodology for designing decentralized asynchronous
event-triggers, which utilize only locally available information, for
determining the time instants of transmission from the sensors to the central
controller. The proposed design guarantees a positive lower bound for the
inter-transmission times of each sensor, while ensuring asymptotic stability of
the origin of the system with an arbitrary, but priorly fixed, compact region
of attraction. In the special case of Linear Time Invariant (LTI) systems,
global asymptotic stability is guaranteed and scale invariance of
inter-transmission times is preserved. A modified design method is also
proposed for nonlinear systems, with the addition of event-triggered
communication from the controller to the sensors, that promises to
significantly increase the average sensor inter-transmission times compared to
the case where the controller does not transmit data to the sensors. The
proposed designs are illustrated through simulations of a linear and a
nonlinear example.


title: Topological Interference Management with Alternating Connectivity

abstract:
  The topological interference management problem refers to the study of the
capacity of partially connected linear (wired and wireless) communication
networks with no channel state information at the transmitters (no CSIT) beyond
the network topology, i.e., a knowledge of which channel coefficients are zero
(weaker than the noise floor in the wireless case). While the problem is
originally studied with fixed topology, in this work we explore the
implications of varying connectivity, through a series of simple and
conceptually representative examples. Specifically, we highlight the
synergistic benefits of coding across alternating topologies.


title: The 2011 Periastron Passage of the Be Binary delta Scorpii

abstract:
  We describe the results of the world-wide observing campaign of the highly
eccentric Be binary system delta Scorpii 2011 periastron passage which involved
professional and amateur astronomers. Our spectroscopic observations provided a
precise measurement of the system orbital period at 10.8092+/- 0.0005 years.
Fitting of the He II 4686A line radial velocity curve determined the periastron
passage time on 2011 July 3, UT 9:20 with a 0.9--day uncertainty. Both these
results are in a very good agreement with recent findings from interferometry.
We also derived new evolutionary masses of the binary components (13 and 8.2
Msun) and a new distance of 136 pc from the Sun, consistent with the HIPPARCOS
parallax. The radial velocity and profile variations observed in the H_alpha
line near the 2011 periastron reflected the interaction of the secondary
component and the circumstellar disk around the primary component. Using these
data, we estimated a disk radius of 150 Rsun. Our analysis of the radial
velocity variations measured during the periastron passage time in 2000 and
2011 along with those measured during the 20th century, the high eccentricity
of the system, and the presence of a bow shock-like structure around it suggest
that delta Sco might be a runaway triple system. The third component should be
external to the known binary and move on an elliptical orbit that is tilted by
at least 40 degree with respect to the binary orbital plane for such a system
to be stable and responsible for the observed long-term radial velocity
variations.


title: LHC constraints on two-Higgs doublet models

abstract:
  A new Higgs-like boson with mass around 126 GeV has recently been discovered
at the LHC. The available data on this new particle is analyzed within the
context of two-Higgs doublet models without tree-level flavour-changing neutral
currents. Keeping the generic Yukawa structure of the Aligned Two-Higgs Doublet
Model framework, we study the implications of the LHC data on the allowed
scalar spectrum. We analyze both the CP-violating and CP-conserving cases, and
a few particular limits with a reduced number of free parameters, such as the
usual models based on discrete ${\cal Z}_2$ symmetries.


title: Measurements of top-quark properties at the Tevatron

abstract:
  Recent measurements of top-quark properties at the Tevatron are presented.
CDF uses data corresponding up to 9.0 fb^{-1} to measure the ratio R of the
branching fractions B(t \rightarrow Wb) / B(t \rightarrow Wq), the branching
fraction for top-quarks decaying into \tau leptons and the cross section for
the production of an additional \gamma in t\bar{t} production. The results from
all these measurements agree well with their respective Standard Model
expectation. D0 uses 5.3 fb^{-1} of data to measure the t\bar{t} cross section
as a function of the time. A time dependency would imply Lorentz invariance
violation as implemented by the Standard Model extension. No time dependency is
observed and D0 sets first limits in the top-quark sector for Lorentz
invariance violation. D0 also determines indirectly the top quark width using
the results of earlier measurements at D0. The measured top quark width is in
agreement with the SM expectation and does not show any hints for new physics
contributions.


title: Note on the Complex Networks and Epidemiology Part I: Complex Networks

abstract:
  Complex networks describe a wide range of systems in nature and society.
Frequently cited examples include Internet, WWW, a network of chemicals linked
by chemical reactions, social relationship networks, citation networks, etc.
The research of complex networks has attracted many scientists' attention.
Physicists have shown that these networks exhibit some surprising characters,
such as high clustering coefficient, small diameter, and the absence of the
thresholds of percolation. Scientists in mathematical epidemiology discovered
that the threshold of infectious disease disappears on contact networks that
following Scale-Free distribution. Researchers in economics and public health
also find that the imitation behavior could lead to cluster phenomena of
vaccination and un-vaccination. In this note, we will review the basic concepts
of complex networks; Basic epidemic models; the development of complex networks
and epidemiology.

categories: physics.soc-ph cs.SI nlin.AO q-bio.MN q-bio.PE


title:
Temperature Dependence of Conductance and Thermopower Anomalies of
  Quantum Point Contacts

abstract:
  It has been shown within the Landauer single-channel approach that the
presence of the 0.7 anomaly in the conductance of a ballistic microcontact and
the respective plateau in the thermopower implies unusual pinning of the
potential barrier height $U$ at a depth of $k_BT$ below the Fermi level $E_F$.
A simple way of taking into account the effect of electron-electron interaction
on the profile and temperature dependence of a smooth one-dimensional potential
barrier in the lower spin degeneracy subband of the microcontact has been
proposed. The calculated temperature dependences of the conductance and Seebeck
coefficient agree with the experimental gate-voltage dependences, including the
emergence of anomalous plateaux with an increase in temperature.


title:
Modification of band alignment at interface of AlyGa1-ySb/AlxGa1-xAs
  type-II quantum dots by concentrated sunlight in intermediate band solar
  cells with separated absorption and depletion regions

abstract:
  We propose a new intermediate band GaAs solar cell comprising an AlxGa1-xAs
absorber with built-in GaSb type-II quantum dots (QDs) [a gradual AlxGa1-xAs
absorber with built-in AlyGa1-ySb QDs (0<x=y<0.40) as a variant] separated from
the depletion region. We study the modification of the band alignment at
type-II interface by two-photon absorption of concentrated sunlight. Our
calculation shows that photogenerated carriers produce localized exciton-like
electron-hole pairs spatially separated at QDs. Local field of such pairs may
essentially modify potential barrier surrounding QDs, increase recombination
lifetime of mobile carriers and additional photocurrent generated by twophoton
absorption. Concentration of about 300-sun pushes by 15% up the conversion
efficiency as compared to the efficiency of the reference single junction GaAs
solar cell without QDs.


title:
Large-scale 2D Electronics based on Single-layer MoS2 Grown by Chemical
  Vapor Deposition

abstract:
  2D nanoelectronics based on single-layer MoS2 offers great advantages for
both conventional and ubiquitous applications. This paper discusses the
large-scale CVD growth of single-layer MoS2 and fabrication of devices and
circuits for the first time. Both digital and analog circuits are fabricated to
demonstrate its capability for mixed-signal applications.


title:
Search for an H-dibaryon with mass near 2m_Lambda in Y(1S) and Y(2S)
  decays

abstract:
  We report the results of a high-statistics search for H-dibaryon production
in inclusive Y(1S) and Y(2S) decays. No indication of an H-dibaryon with mass
near the M_H=2m_Lambda threshold is seen in either the H-> Lambda p pi- or
Lambda-Lambda decay channels and 90% confidence level branching-fraction upper
limits are set that are between one and two orders of magnitude below the
measured branching fractions for inclusive Y(1S) and Y(2S) decays to
antideuterons. Since Y(1,2S) decays produce flavor-SU(3)-symmetric final
states, these results put stringent constraints on H-dibaryon properties. The
results are based on analyses of 102 million Y(1S) and 158 million Y(2S) events
collected with the Belle detector at the KEKB electron-positron collider.


title:
Taylor's swimming sheet: Analysis and improvement of the perturbation
  series

abstract:
  In G.I. Taylor's historic paper on swimming microorganisms, a two dimensional
sheet was proposed as a model for flagellated cells passing traveling waves as
a means of locomotion. Using a perturbation series, Taylor computed swimming
speeds up to fourth order in amplitude. Here we systematize that expansion so
that it can be carried out formally to arbitrarily high order. The resultant
series diverges for an order one value of the wave amplitude, but may be
transformed into series with much improved convergence properties and which
yield results comparing favorably to those obtained numerically via a boundary
integral method for moderate and large values of the wave amplitudes.


title:
Modeling and Performance Analysis of Pull-Based Live Streaming Schemes
  in Peer-to-Peer Network

abstract:
  Recent years mesh-based Peer-to-Peer live streaming has become a promising
way for service providers to offer high-quality live video streaming service to
Internet users. In this paper, we make a detailed study on modeling and
performance analysis of the pull-based P2P streaming systems. We establish the
analytical framework for the pull-based streaming schemes in P2P network, give
accurate models of the chunk selection and peer selection strategies, and
organize them into three categories, i.e., the chunk first scheme, the peer
first scheme and the epidemic scheme. Through numerical performance evaluation,
the impacts of some important parameters, such as size of neighbor set, reply
number, buffer size and so on are investigated. For the peer first and chunk
first scheme, we show that the pull-based schemes do not perform as well as the
push-based schemes when peers are limited to reply only one request in each
time slot. When the reply number increases, the pull-based streaming schemes
will reach close to optimal playout probability. As to the pull-based epidemic
scheme, we find it has unexpected poor performance, which is significantly
different from the push-based epidemic scheme. Therefore we propose a simple,
efficient and easily deployed push-pull scheme which can significantly improve
the playout probability.


title:
Two particle excited states entanglement entropy in a one-dimensional
  ring

abstract:
  The properties of the entanglement entropy (EE) of two particle excited
states in a one-dimensional ring are studied. For a clean system we show
analytically that as long as the momenta of the two particles are not close,
the EE is twice the value of the EE of any single particle state. For almost
identical momenta the EE is lower than this value. The introduction of disorder
is numerically shown to lead to a decrease in the median EE of a two particle
excited state, while interactions (which have no effect for the clean case)
mitigate the decrease. For a ring which is of the same size as the localization
length, interaction increase the EE of a typical two particle excited state
above the clean system EE value.


title:
A New Splitting Method for Time-dependent Convection-dominated Diffusion
  Problems

abstract:
  We present a new splitting method for time-dependent convection-dominated
diffusion problems. The original convection diffusion system is split into two
sub-systems: a pure convection system and a diffusion system. At each time
step, a convection problem and a diffusion problem are solved successively. The
scheme has the following nice features: the convection subproblem is solved
explicitly and a multistep technique is introduced to essentially enlarge the
stability region so that the resulting scheme behaves like an unconditionally
stable scheme; the diffusion subproblem is always self-adjoint and coercive so
that it can be solved efficiently using many existing optimal preconditioned
iterative solvers. The scheme is then extended for Navier-Stokes equations,
where the nonlinear convection is resolved by a linear explicit multistep
scheme at the convection step, and only a generalized Stokes problem is needed
to solve at the diffusion step with the resulting stiffness matrix being
invariant in the time marching process. The new schemes are all free from
tuning some stabilization parameters for the convection-dominated diffusion
problems. Numerical simulations are presented to demonstrate the stability,
convergence and performance of the single-step and multistep variants of the
new scheme.


title: Microwave-controlled coupling of Majorana bound states

abstract:
  We propose microwave-controlled rotations for qubits realized as Majorana
bound states. To this end we study an inhomogeneous Kitaev chain in a microwave
cavity. The chain consists of two topologically nontrivial regions separated by
a topologically trivial, gapped region. The Majorana bound states at the
interfaces between the left (right) regions and the central region are coupled,
and their energies are split by virtual cotunneling processes. The amplitude
for these cotunneling processes decreases exponentially in the number of sites
of the gapped region, and the decay length diverges as the gap of the
topologically trivial region closes. We demonstrate that microwave radiation
can exponentially enhance the coupling between the Majorana bound states, both
for classical and quantized electric fields. By solving the appropriate
Liouville equation numerically we show that microwaves can drive Rabi
oscillations in the Majorana sector. Our model emerges as an effective
description for a topological semiconductor nanowire in a microwave cavity.
Thus, our proposal provides an experimentally feasible way to obtain full
single-qubit control necessary for universal quantum computation with Majorana
qubits.


title:
Comprehensive Constraints on a Spin-3/2 Singlet Particle as a Dark
  Matter Candidate

abstract:
  We consider the proposal that dark matter (DM) is composed of a spin-3/2
particle that is a singlet of the standard model (SM). Its leading effective
interactions with ordinary matter involve a pair of their fields and a pair of
SM fermions, in the form of products of chiral currents. We make a
comprehensive analysis on possible phenomenological effects of the interactions
in various experiments and observations. These include collider searches for
monojet plus missing transverse energy events, direct detections of DM
scattering off nuclei, possible impacts on the gamma rays and
antiproton-to-proton flux ratio in cosmic rays, and the observed relic density.
The current data already set strong constraints on the effective interactions
in a complementary manner. The constraint from collider searches is most
effective at a relatively low mass of DM, and the antiproton-to-proton flux
ratio offers the best bound for a heavy DM, while the spin-independent direct
detection is the best in between. For DM mass of order 10 GeV to 1 TeV, the
effective interaction scale is constrained to be typically above a few tens
TeV.


title:
Evolution of the Carter constant for a resonant inspiral into a Kerr
  black hole: I. The scalar case

abstract:
  We discuss the inspiral of a small body around a Kerr black hole. When the
time scale of the radiation reaction is sufficiently longer than its orbital
period, the leading order orbital evolution is described only by the knowledge
of the averaged evolution of the constants of motion, i.e., the energy,
azimuthal angular momentum and the Carter constant. Although there is no
conserved current composed of the perturbation field corresponding to the
Carter constant, it has been shown that the averaged rate of change of the
Carter constant can be given by a simple formula, when there exists a
simultaneous turning point of the radial and polar oscillations. However, an
inspiralling orbit may cross a "resonance" point, where the frequencies of the
radial and polar orbital oscillations are in a rational ratio. At the resonance
point, one cannot find a simultaneous turning point in general. Hence, even for
the averaged rate of change of the Carter constant, a direct computation of the
'self-force", which is still challenging especially in the case of the Kerr
background, seems to be necessary. In this paper, we present a method of
computing the averaged rate of change of the Carter constant in a relatively
simple manner at the "resonance" point.


title:
Global existence and exponential growth for a viscoelastic wave equation
  with dynamic boundary conditions

abstract:
  The goal of this work is to study a model of the wave equation with dynamic
boundary conditions and a viscoelastic term. First, applying the Faedo-Galerkin
method combined with the fixed point theorem, we show the existence and
uniqueness of a local in time solution. Second, we show that under some
restrictions on the initial data, the solution continues to exist globally in
time. On the other hand, if the interior source dominates the boundary damping,
then the solution is unbounded and grows as an exponential function. In
addition, in the absence of the strong damping, then the solution ceases to
exist and blows up in finite time.


title:
The fine structure of microwave-induced magneto-oscillations in
  photoconductivity of the two-dimensional electron system formed on a
  liquid-helium surface

abstract:
  The influence of the inelastic nature of electron scattering by surface
excitations of liquid helium (ripplons) on the shape of magnetoconductivity
oscillations induced by resonance microwave (MW) excitation is theoretically
studied. The MW field provides a substantial filling of the first excited
surface subband which sparks off inter-subband electron scattering by ripplons.
This scattering is the origin of magneto-oscillations in the momentum
relaxation rate. The inelastic effect becomes important when the energy of a
ripplon involved compares with the collision broadening of Landau levels.
Usually, such a condition is realized only at sufficiently high magnetic
fields. On the contrary, the inelastic nature of inter-subband scattering is
shown to be more important in a lower magnetic field range because of the new
enhancement factor: the ratio of the inter-subband transition frequency to the
cyclotron frequency. This inelastic effect affects strongly the shape of
conductivity oscillations which acquires an additional wavy feature (a mixture
of splitting and inversion) in the vicinity of the level-matching points where
the above noted ratio is close to an integer.


title: On varieties of Hilbert type

abstract:
  A variety X over a field K is of Hilbert type if the set of rational points
X(K) is not thin. We prove that if f: X\to S is a dominant morphism of
K-varieties and both S and all fibers f^{-1}(s), s in S(K), are of Hilbert
type, then so is X. We apply this to answer a question of Serre on products of
varieties and to generalize a result of Colliot-Th'el`ene and Sansuc on
algebraic groups.


title:
Super-quantum correlation and geometry for Bell-diagonal states with
  weak measurements

abstract:
  We propose "super one-way deficit" by weak measurement as the generalization
of one-way deficit defined for standard projective measurement. The super
one-way deficit for Werner state is obtained analytically. We find that super
one-way deficit is smaller than the standard one-way deficit, which contrasts
with a straightforward expectation based on the known fact that super-quantum
discord by weak measurement is always larger than the quantum discord defined
by projective measurement. On the other hand, by tuning the weak measurement
continuously to the projective measurement, both super one-way deficit and
super-quantum discord converge to the same value, which is either the one-way
deficit or the quantum discord both quantifying quantum correlation. In this
sense, weak measurement does not necessarily capture more quantumness of
correlations. We also give the geometry of super- quantum discord of the
Bell-diagonal states with explicit geometrical figures. As an application, the
dynamic behavior of super- quantum correlation including super-quantum discord
and super one-way deficit under decoherence is investigated. We find that the
order relation of the super-quantum correlation and the quantum correlation
keep unchanged under the phase flipping channel for the Bell-diagonal states
and the Werner states.


title: Quasimodular forms and sl(m|m)^ characters

abstract:
  In this paper, we establish automorphic properties and asymptotic behaviors
of characters due to Kac-Wakimoto pertaining to $s\ell(m|n)^\wedge$ highest
weight modules in the case $m=n$, extending work of the first author and Ono
\cite{BOKac} and the first two authors \cite{BF} which pertains to the case
$m>n$.


title: Nontrivial attractor-repellor maps of $S^2$ and rotation numbers

abstract:
  We consider an orientation preserving homeomorphism $h$ of $S^2$ which admits
a repellor denoted $\infty$ and an attractor $-\infty$, which is not a
North-South map, such that the basins of $\infty$ and $-\infty$ intersect. We
study various aspects of the rotation number of $h:S^2\setminus\{\pm\infty\}\to
S^2\setminus\{\pm\infty\}$, especially its relationship with the existence of
periodic orbits.


title: Von Staudt's theorem revisited

abstract:
  We establish a version of von Staudt's theorem on mappings which preserve
harmonic quadruples for projective lines over (not necessarily commutative)
rings with "sufficiently many" units, in particular 2 has to be a unit.


title: A new scheme of signature extraction for iris authentication

abstract:
  Iris recognition, a relatively new biometric technology, has great
advantages, such as variability, stability and security, thus is the most
promising for high security environment. Iris recognition is proposed in this
report. We describe some methods, the first one is based on grey level
histogram to extract the pupil, the second is based on elliptic and parabolic
HOUGH transformation to determinate the edge of iris, upper and lower eyelids,
the third we used 2D Gabor Wavelets to encode the iris and finally we used the
Hamming distance for authentication.


title:
Effect of Self-Magnetic Fields on the Nonlinear Dynamics of Relativistic
  Electron Beam with Virtual Cathode

abstract:
  The report is devoted to the results of the numerical study of the virtual
cathode formation conditions in the relativistic electron beam under the
influence of the self-magnetic and external axial magnetic fields. The
azimuthal instability of the relativistic electron beam leading to the
formation of the vortex electron structure in the system was found out. This
instability is determined by the influence of the self-magnetic fields of the
relativistic electron beam and it leads to the decrease of the critical value
of the electron beam current (current when the non-stationary virtual cathode
is formed in the drift space). The typical dependencies of the critical current
on the external uniform magnetic field value were discovered. The effect of the
beam thickness on the virtual cathode formation conditions was also analyzed.


title:
Statistical mechanics of permanents, real-Monge-Ampere equations and
  optimal transport

abstract:
  We give a new probabilistic construction of solutions to real Monge-Amp\`ere
equations in R^n satisfying the second boundary value problem with respect to a
given target convex body P) which fits naturally into the theory of optimal
transport. More precisely, certain beta-deformed permanental (bosonic)
N-particle point processes are introduced and their empirical measures are, in
the large N-limit, shown to converge exponentially in probability to a
deterministic measure whose potential satisfies the real Monge-Amp\`ere
equation in question. In particular, this allows us to represent the solution
as a limit, as N tends to infinity of explicit integrals over the N-fold
products of R^n and it also leads to explicit limit formulas for optimal
transport maps to the convex body P. Connections to the study of
K\"ahler-Einstein metrics on complex algebraic varieties, and in particular
toric ones, are briefly discussed.

categories: math.AP cond-mat.stat-mech math-ph math.DG math.MP math.PR


title:
Design and Implementation of an IP based authentication mechanism for
  Open Source Proxy Servers in Interception Mode

abstract:
  Proxy servers are being increasingly deployed at organizations for
performance benefits; however, there still exists drawbacks in ease of client
authentication in interception proxy mode mainly for Open Source Proxy Servers.
  Technically, an interception mode is not designed for client authentication,
but implementation in certain organizations does require this feature. In this
paper, we focus on the World Wide Web, highlight the existing transparent proxy
authentication mechanisms, its drawbacks and propose an authentication scheme
for transparent proxy users by using external scripts based on the clients
Internet Protocol Address. This authentication mechanism has been implemented
and verified on Squid-one of the most widely used HTTP Open Source Proxy
Server.


title: Influence of large permanent dipoles on molecular orbital tomography

abstract:
  The influence of large permanent dipoles on molecular orbital tomography via
high-order harmonic generation (HHG) is investigated in this work. It is found
that, owing to the modification of the angle-dependent ionization rate
resulting from the Stark shift, the one-side-recollision condition for the
tomographic imaging can not be satisfied even with the few-cycle driving
pulses. To overcome this problem, we employ a tailored driving pulse by adding
a weak low-frequency pulse to the few-cycle laser pulse to control the HHG
process and the recollision of the continuum electrons are effectively
restricted to only one side of the core. Then we carried out the orbital
reconstruction in both the length and velocity forms. The results show that,
the orbital structure can only be successfully reproduced by using the dipole
matrix elements projected perpendicular to the permanent dipole in both forms.


title:
Computation of the spectrum of spatial Lyapunov exponents for the
  spatially extended beam-plasma systems and electron-wave devices

abstract:
  The spectrum of Lyapunov exponents is powerful tool for the analysis of the
complex system dynamics. In the general framework of nonlinear dynamical
systems a number of the numerical technics have been developed to obtain the
spectrum of Lyapunov exponents for the complex temporal behavior of the systems
with a few degree of freedom. Unfortunately, these methods can not apply
directly to analysis of complex spatio-temporal dynamics in plasma devices
which are characterized by the infinite phase space, since they are the
spatially extended active media. In the present paper we propose the method for
the calculation of the spectrum of the spatial Lyapunov exponents (SLEs) for
the spatially extended beam-plasma systems. The calculation technique is
applied to the analysis of chaotic spatio-temporal oscillations in three
different beam-plasma model: (1) simple plasma Pierce diode, (2) coupled Pierce
diodes, and (3) electron-wave system with backward electromagnetic wave. We
find an excellent agreement between the system dynamics and the behavior of the
spectrum of the spatial Lyapunov exponents. Along with the proposed method, the
possible problems of SLEs calculation are also discussed. It is shown that for
the wide class of the spatially extended systems the set of quantities included
in the system state for SLEs calculation can be reduced using the appropriate
feature of the plasma systems.


title: Angular Spectra for non-Gaussian Isotropic Fields

abstract:
  Cosmic Microwave Background (CMB) Anisotropies is a subject of intensive
research in several fields of sciences. In this paper we start a systematic
development of basic notions and theory in statistics according to the
application for CMB. The main result of this paper is the necessary and
sufficient condition for isotropy of a non-Gaussian field in terms of spectra.
Clear formulae for bi-, tri- and polyspectra and bi-, tri-, and higher order
covariances are also given. Keywords: Bispectrum, Trispectrum, Angular
poly-Spectra, Cosmic microwave background radiation; Gaussianity; spherical
random fields


title: Predictability of measurements

abstract:
  The second law of thermodynamics states that entropy increases (or does not
change) by time in an isolated system. As microscopic physical laws are
reversible, the origin of irreversibility is not straightforward. Although the
outcome of a measurement on a pure quantum state is not fully predictable due
to the Heisenberg uncertainty principle, quantum and finite entropy
uncertainties are thought to be fundamentally different. We propose to
calculate the predictability of measurements comprising both quantum and
entropic uncertainties. We show that the unpredictability of measurements is
identical to entropy in case of semiclassical statistical mechanics, and it
increases by time in a pure entangled quantum state as a result of quantum
measurement.


title:
On-off intermittency of thalamo-cortical oscillations in the
  electroencephalogram of rats with genetic predisposition to absence epilepsy

abstract:
  Spike-wave discharges (SWD) are electroencephalographic hallmarks of absence
epilepsy. SWD are known to originate from thalamo-cortical neuronal network
that normally produce sleep spindle oscillations. Although both sleep spindles
and SWD are considered as thalamo-cortical oscillations, functional
relationship between them is still uncertain. The present study describes
temporal dynamics of SWD and sleep spindles as determined in long-term EEG
recordings in WAG/Rij rat model of absence epilepsy. It was found that
non-linear dynamics of SWD fits well to the law of 'on-off intermittency'.
Typical sleep spindles that occur during slow-wave sleep (SWS) also
demonstrated 'on-off intermittency' behavior, in contrast to high-voltage
spindles during intermediate sleep stage, whose dynamics was uncertain. This
implies that both SWS sleep spindles and SWD are controlled by a system-level
mechanism that is responsible for regulating circadian activity and/or
sleep-wake transitions.


title:
Generalized synchronization in discrete maps. New point of view on weak
  and strong synchronization

abstract:
  In the present Letter we show that the concept of the generalized
synchronization regime in discrete maps needs refining in the same way as it
has been done for the flow systems [PRE, 84 (2011) 037201]. We have shown
that\alkor{, in the general case, when the relationship between state vectors
of the interacting chaotic maps are considered,} the prehistory must be taken
into account. We extend the phase tube approach to the systems with a discrete
time coupled both unidirectionally and mutually and analyze the essence of the
generalized synchronization by means of this technique. Obtained results show
that the division of the generalized synchronization into the weak and the
strong ones also must be reconsidered. Unidirectionally coupled logistic maps
and H\'enon maps coupled mutually are used as sample systems.


title:
Mapping Academic Institutions According to Their Journal Publication
  Profile: Spanish Universities as a Case Study

abstract:
  We introduce a novel methodology for mapping academic institutions based on
their journal publication profiles. We believe that journals in which
researchers from academic institutions publish their works can be considered as
useful identifiers for representing the relationships between these
institutions and establishing comparisons. However, when academic journals are
used for research output representation, distinctions must be introduced
between them, based on their value as institution descriptors. This leads us to
the use of journal weights attached to the institution identifiers. Since a
journal in which researchers from a large proportion of institutions published
their papers may be a bad indicator of similarity between two academic
institutions, it seems reasonable to weight it in accordance with how
frequently researchers from different institutions published their papers in
this journal. Cluster analysis can then be applied to group the academic
institutions, and dendrograms can be provided to illustrate groups of
institutions following agglomerative hierarchical clustering. In order to test
this methodology, we use a sample of Spanish universities as a case study. We
first map the study sample according to an institution's overall research
output, then we use it for two scientific fields (Information and Communication
Technologies, as well as Medicine and Pharmacology) as a means to demonstrate
how our methodology can be applied, not only for analyzing institutions as a
whole, but also in different disciplinary contexts.


title: Universal conformal weights on Sobolev spaces

abstract:
  The Riemann Mapping Theorem states existence of a conformal homeomorphism
$\varphi$ of a simply connected plane domain $\Omega\subset\mathbb C$ with
non-empty boundary onto the unit disc $\mathbb D\subset \mathbb C$. In the
first part of the paper we study embeddings of Sobolev spaces
$\overset{\circ}{W_{p}^{1}}(\Omega)$ into weighted Lebesgue spaces
$L_{q}(\Omega,h)$ with an {}"universal" weight that is Jacobian of $\varphi$
i.e. $h(z):=J(z,\varphi)=| \varphi'(z)|^2$. Weighted Lebesgue spaces with such
weights depend only on a conformal structure of $\Omega$. By this reason we
call the weights $h(z)$ conformal weights. In the second part of the paper we
prove compactness of embeddings of Sobolev spaces
$\overset{\circ}{W_{2}^{1}}(\Omega)$ into $L_{q}(\Omega,h)$ for any $1\leq
q<\infty$. With the help of Brennan's conjecture we extend these results to
Sobolev spaces $\overset{\circ}{W_{p}^{1}}(\Omega)$. In this case $q$ is not
arbitrary and depends on $p$ and the summability exponent for Brennan's
conjecture. Applications to elliptic boundary value problems are demonstrated
in the last part of the paper.


title: Free but not recursively free arrangements

abstract:
  We construct counterexamples to the conjecture that every free arrangement is
recursively free in characteristic zero. The intersection lattice of our
smallest example has a realization over a finite field which is recursively
free, thus recursive freeness is not a combinatorial property of the
intersection lattice of an arrangement.


title: Two-temperature Langevin dynamics in a parabolic potential

abstract:
  We study a planar two-temperature diffusion of a Brownian particle in a
parabolic potential. The diffusion process is defined in terms of two Langevin
equations with two different effective temperatures in the X and the Y
directions. In the stationary regime the system is described by a non-trivial
particle position distribution P(x,y), which we determine explicitly. We show
that this distribution corresponds to a non-equilibrium stationary state,
characterised by the presence of space-dependent particle currents which
exhibit a non-zero rotor. Theoretical results are confirmed by the numerical
simulations.


title: Quantum-field theories as representations of a single $^\ast$-algebra

abstract:
  We show that many well-known quantum field theories emerge as representations
of a single $^\ast$-algebra. These include free quantum field theories in flat
and curved space-times, lattice quantum field theories, Wightman quantum field
theories, and string theories. We prove that such theories can be approximated
on lattices, and we give a rigorous definition of the continuum limit of
lattice quantum field theories.


title: The Quantum Gromov-Hausdorff Propinquity

abstract:
  We introduce the quantum Gromov-Hausdorff propinquity, a new distance between
quantum compact metric spaces, which extends the Gromov-Hausdorff distance to
noncommutative geometry and strengthens Rieffel's quantum Gromov-Hausdorff
distance and Rieffel's proximity by making *-isomorphism a necessary condition
for distance zero, while being well adapted to Leibniz seminorms. This work
offers a natural solution to the long-standing problem of finding a framework
for the development of a theory of Leibniz Lip-norms over C*-algebras.


title:
Distributed Deterministic Broadcasting in Uniform-Power Ad Hoc Wireless
  Networks

abstract:
  Development of many futuristic technologies, such as MANET, VANET, iThings,
nano-devices, depend on efficient distributed communication protocols in
multi-hop ad hoc networks. A vast majority of research in this area focus on
design heuristic protocols, and analyze their performance by simulations on
networks generated randomly or obtained in practical measurements of some
(usually small-size) wireless networks. %some library. Moreover, they often
assume access to truly random sources, which is often not reasonable in case of
wireless devices. In this work we use a formal framework to study the problem
of broadcasting and its time complexity in any two dimensional Euclidean
wireless network with uniform transmission powers. For the analysis, we
consider two popular models of ad hoc networks based on the
Signal-to-Interference-and-Noise Ratio (SINR): one with opportunistic links,
and the other with randomly disturbed SINR. In the former model, we show that
one of our algorithms accomplishes broadcasting in $O(D\log^2 n)$ rounds, where
$n$ is the number of nodes and $D$ is the diameter of the network. If nodes
know a priori the granularity $g$ of the network, i.e., the inverse of the
maximum transmission range over the minimum distance between any two stations,
a modification of this algorithm accomplishes broadcasting in $O(D\log g)$
rounds.
  Finally, we modify both algorithms to make them efficient in the latter model
with randomly disturbed SINR, with only logarithmic growth of performance.
  Ours are the first provably efficient and well-scalable, under the two
models, distributed deterministic solutions for the broadcast task.


title:
Raman Studies of Anisotropic Magnetic Excitations in Fluctuating Nematic
  Striped La2-xSrxCuO4 and the Comparison to Uniform Nd2-xCexCuO4

abstract:
  The mechanism of the high temperature hole-doped superconductivity was
investigated by Raman scattering. The Raman selection rule is unique, so that
anisotropic magnetic excitations in a fluctuating spin-charge stripe can be
detected as if it is static. We use different Raman selection rules for two
kinds of magnetic Raman scattering processes, two-magnon scattering and
high-energy electronic scattering. In order to confirm the difference, the
Raman spectra of striped La2-xSrxCuO4 (LSCO) and non-striped Nd2-xCexCuO4
(NCCO) were compared. The main results in LSCO are (1) magnetic excitations are
presented by individual energy dispersions for the k\parallel stripe and the
k\perp stripe, (2) the charge transfer is allowed only in the direction
perpendicular to the stripe. The direction is the same as the Burgers vector of
an edge dislocation. Hence we assume that a charge moves together with the edge
dislocation of the charge stripe. The superconducting coherence length is close
to the inter-charge stripe distance at x < 0.2. Therefore we propose a model
that superconducting pairs are formed in the edge dislocations. The binding
energy is related to the stripe formation energy.


title: The Sensemaking-Coevolution-Implementation Theory of Software Design

abstract:
  Understanding software design practice is critical to understanding modern
information systems development. New developments in empirical software
engineering, information systems design science and the interdisciplinary
design literature combined with recent advances in process theory and
testability have created a situation ripe for innovation. Consequently, this
paper utilizes these breakthroughs to formulate a process theory of software
design practice: Sensemaking-Coevolution-Implementation Theory explains how
complex software systems are created by collocated software development teams
in organizations. It posits that an independent agent (design team) creates a
software system by alternating between three activities: organizing their
perceptions about the context, mutually refining their understandings of the
context and design space, and manifesting their understanding of the design
space in a technological artifact. This theory development paper defines and
illustrates Sensemaking-Coevolution-Implementation Theory, grounds its concepts
and relationships in existing literature, conceptually evaluates the theory and
situates it in the broader context of information systems development.


title:
Upper and lower bound on the cardinality containing shortest vectors in
  a lattice reduced by block Korkin-Zolotarev method (Russian)

abstract:
  This article present a concise estimate of upper and lower bound on the
cardinality containing shortest vector in a lattice reduced by block
Korkin-Zolotarev method (BKZ) for different value of the block size. Paper show
how density affect to this cardinality, in form of the ratio of shortest vector
size and sucessive minimal. Moreover we give upper estimate of cardinality for
critical and Goldstein-Mayer lattices.


title: Pattern Count on Multiply Restricted Permutations

abstract:
  Previous work has studied the pattern count on singly restricted
permutations. In this work, we focus on patterns of length 3 in multiply
restricted permutations, especially for double and triple pattern-avoiding
permutations. We derive explicit formulae or generating functions for various
occurrences of length 3 patterns on multiply restricted permutations, as well
as some combinatorial interpretations for non-trivial pattern relationships.


title: Order Preserving Matching

abstract:
  We introduce a new string matching problem called order-preserving matching
on numeric strings where a pattern matches a text if the text contains a
substring whose relative orders coincide with those of the pattern.
Order-preserving matching is applicable to many scenarios such as stock price
analysis and musical melody matching in which the order relations should be
matched instead of the strings themselves. Solving order-preserving matching
has to do with representations of order relations of a numeric string. We
define prefix representation and nearest neighbor representation, which lead to
efficient algorithms for order-preserving matching. We present efficient
algorithms for single and multiple pattern cases. For the single pattern case,
we give an O(n log m) time algorithm and optimize it further to obtain O(n + m
log m) time. For the multiple pattern case, we give an O(n log m) time
algorithm.


title:
Finite volume effects and quark mass dependence of the N(1535) and
  N(1650)

abstract:
  For resonances decaying in a finite volume, the simple identification of
state and eigenvalue is lost. The extraction of the scattering amplitude is a
major challenge as we demonstrate by extrapolating the physical S_{11}
amplitude of pion-nucleon scattering to the finite volume and unphysical quark
masses, using a unitarized chiral framework including all next-to-leading order
contact terms. We show that the pole movement of the resonances N(1535)1/2^-
and N(1650)1/2^- with varying quark masses is non-trivial. In addition, there
are several strongly coupled S-wave thresholds that induce a similar avoided
level crossing as narrow resonances. The level spectrum is predicted for two
typical lattice setups, and ways to extract the amplitude from upcoming lattice
data are discussed.


title: Nearest Neighbors, Phase Tubes And Generalized Synchronization

abstract:
  In this paper we report for the first time on the necessity of the refinement
of the concept of generalized chaotic synchronization. We show that the state
vectors of the interacting chaotic systems being in the generalized
synchronization regime are related with each other by the functional, but not
the functional relation as it was assumed until now. We propose the phase tube
approach explaining the essence of generalized synchronization and allowing the
detection and the study of this regime in many relevant physical circumstances.
The finding discussed in this Report gives a strong potential for new
applications.


title:
Generalized synchronization of chaos for secure communication:
  remarkable stability to noise

abstract:
  A new method for secure information transmission based on generalized
synchronization is proposed. The principal advantage of it is a remarkable
stability to noise. To reveal this peculiarity of the proposed method the
effectiveness of the detection of the information signal from the transmitted
one in the presence of noise in the communication channel is examined both for
the proposed scheme and for the schemes of chaotic communication known already.
The main ideas of the proposed method are illustrated by the example of coupled
R\"ossler systems used both transmitter and receiver.


title: Type-II intermittency characteristics in the presence of noise

abstract:
  We consider a type of intermittent behavior that occurs as the result of the
interplay between dynamical mechanisms giving rise to type-II intermittency and
random dynamics. We analytically deduce the law for the distribution of the
laminar phases, which has never been obtained hitherto. The already known
dependence of the mean length of the laminar phases on the criticality
parameter [PRE 68 (2003) 036203] follows as a corollary of the carried out
research. We also prove that this dependence obtained earlier under the
assumption of the fixed form of the reinjection probability does not depend on
the relaminarization properties, and, correspondingly, the obtained expression
of the mean length of the laminar phases on the criticality parameter remains
correct for different types of the reinjection probability.


title: Universal out-of-equilibrium transport in Kondo-correlated quantum dots

abstract:
  It is shown that the lesser and greater self energies and Green functions
calculated in a recent work on universal noequilibrium transport in interacting
quantum dots [E. Mu\~noz, C. J. Bolech, and S. Kirchner, Phys. Rev. Lett. 110,
016601 (2013)] are incorrect. The authors start from renormalized second-order
perturbation theory in the Coulomb repulsion in the particle-hole symmetric
impurity Anderson model. The reported lesser self-energy is compared with the
correct one, and with an analytic result valid for small frequency and applied
voltage. As a consequence of the mistakes, the conservation of the current is
not established and the results are unreliable.


title:
Estimates for Fourier transforms of surface measures in R^3 and PDE
  applications

abstract:
  A local two-dimensional resolution of singularities theorem and arguments
based on the Van der Corput lemma are used to give new estimates for the decay
rate of the Fourier transform of a locally defined smooth hypersurface measure
in R^3, as well as to provide new proofs of some known estimates. These are
then used to give L^q bounds on solutions to certain PDE problems in terms of
the L^p norms of their initial data for various values of p and q.
  Unlike much of the earlier work in this subject, no use is made of the
adapted coordinate systems that have been often been used to study
two-dimensional oscillatory integrals; all of the needed information is
furnished by the resolution of singularities theorem.


title:
An Algebraic Approach for Identification of Linear Systems with
  Fractional Derivatives

abstract:
  Identification of fractional order systems is considered from an algebraic
point of view. It allows for a simultaneous estimation of model parameters and
fractional (or integer) orders from input and output data. It is exact in that
no approximations are required. Using Mikusinski's operational calculus,
algebraic manipulations are performed on the operational representation of the
system. The unknown parameters and (fractional) orders are calculated solely
from convolutions of known signals. A generalized Voigt model describing a
viscoelastic material is used to illustrate the approach.


title:
An adaptive POD approximation method for the control of
  advection-diffusion equations

abstract:
  We present an algorithm for the approximation of a finite horizon optimal
control problem for advection-diffusion equations. The method is based on the
coupling between an adaptive POD representation of the solution and a Dynamic
Programming approximation scheme for the corresponding evolutive
Hamilton-Jacobi equation. We discuss several features regarding the adaptivity
of the method, the role of error estimate indicators to choose a time
subdivision of the problem and the computation of the basis functions. Some
test problems are presented to illustrate the method.


title:
Generalized synchronization in mutually coupled oscillators and complex
  networks

abstract:
  We introduce a novel concept of generalized synchronization, able to
encompass the setting of collective synchronized behavior for mutually coupled
systems and networking systems featuring complex topologies in their
connections. The onset of the synchronous regime is confirmed by the dependence
of the system's Lyapunov exponents on the coupling parameter. The presence of a
generalized synchronization regime is verified by means of the nearest neighbor
method.


title:
Trace asymptotics formula for the Schr\"odinger operators with constant
  magnetic fields

abstract:
  In this paper, we consider the 2D- Schr\"odinger operator with constant
magnetic field $H(V)=(D_x-By)^2+D_y^2+V_h(x,y)$, where $V$ tends to zero at
infinity and $h$ is a small positive parameter. We will be concerned with two
cases: the semi-classical limit regime $V_h(x,y)=V(h x,h y)$, and the large
coupling constant limit case $V_h(x,y)=h^{-\delta} V(x,y)$. We obtain a
complete asymptotic expansion in powers of $h^2$ of ${\rm tr}(\Phi(H(V),h))$,
where $\Phi(\cdot,h)\in C^\infty_0(\mathbb R;\mathbb R)$. We also give a Weyl
type asymptotics formula with optimal remainder estimate of the counting
function of eigenvalues of $H(V)$.


title: Jump loci in the equivariant spectral sequence

abstract:
  We study the homology jump loci of a chain complex over an affine \k-algebra.
When the chain complex is the first page of the equivariant spectral sequence
associated to a regular abelian cover of a finite-type CW-complex, we relate
those jump loci to the resonance varieties associated to the cohomology ring of
the space. As an application, we show that vanishing resonance implies a
certain finiteness property for the completed Alexander invariants of the
space. We also show that vanishing resonance is a Zariski open condition, on a
natural parameter space for connected, finite-dimensional commutative graded
algebras.


title:
First experimental observation of generalized synchronization phenomena
  in microwave oscillators

abstract:
  In this Letter we report for the first time on the experimental observation
of the generalized synchronization regime in the microwave electronic systems,
namely, in the multicavity klystron generators. A new approach devoted to the
generalized synchronization detection has been developed. The experimental
observations are in the excellent agreement with the results of numerical
simulation. The observed phenomena gives a strong potential for new
applications requiring microwave chaotic signals.


title:
Extending the eigCG algorithm to nonsymmetric Lanczos for linear systems
  with multiple right-hand sides

abstract:
  The technique that was used to build the EigCG algorithm for sparse symmetric
linear systems is extended to the nonsymmetric case using the BiCG algorithm.
We show that, similarly to the symmetric case, we can build an algorithm that
is capable of computing a few smallest magnitude eigenvalues and their
corresponding left and right eigenvectors of a nonsymmetric matrix using only a
small window of the BiCG residuals while simultaneously solving a linear system
with that matrix. For a system with multiple right-hand sides, we give an
algorithm that computes incrementally more eigenvalues while solving the first
few systems and then uses the computed eigenvectors to deflate BiCGStab for the
remaining systems. Our experiments on various test problems, including Lattice
QCD, show the remarkable ability of EigBiCG to compute spectral approximations
with accuracy comparable to that of the unrestarted, nonsymmetric Lanczos.
Furthermore, our incremental EigBiCG followed by appropriately restarted and
deflated BiCGStab provides a competitive method for systems with multiple
right-hand sides.


title:
Effect of noise on generalized synchronization of chaos: theory and
  experiment

abstract:
  The influence of noise on the generalized synchronization regime in the
chaotic systems with dissipative coupling is considered. If attractors of the
drive and response systems have an infinitely large basin of attraction,
generalized synchronization is shown to possess a great stability with respect
to noise. The reasons of the revealed particularity are explained by means of
the modified system approach [A.E. Hramov, A.A. Koronovskii, Phys. Rev. E. 71,
067201 (2005)] and confirmed by the results of numerical calculations and
experimental studies. The main results are illustrated using the examples of
unidirectionally coupled chaotic oscillators and discrete maps as well as
spatially extended dynamical systems. Different types of the model noise are
analyzed. Possible applications of the revealed particularity are briefly
discussed.


title: Synchronization in networks of slightly nonidentical elements

abstract:
  We study synchronization processes in networks of slightly non identical
chaotic systems, for which a complete invariant synchronization manifold does
not rigorously exist. We show and quantify how a slightly dispersed
distribution in parameters can be properly modelled by a noise term affecting
the stability of the synchronous invariant solution emerging for identical
systems when the parameter is set at the mean value of the original
distribution.


title:
Ring intermittency near the boundary of the synchronous time scales of
  chaotic oscillators

abstract:
  In this paper we study both experimentally and numerically the intermittent
behavior taking place near the boundary of the synchronous time scales of
chaotic oscillators being in the regime of time scale synchronization. We have
shown that the observed type of the intermittent behavior should be classified
as the ring intermittency.


title: Optimal error regions for quantum state estimation

abstract:
  Rather than point estimators, states of a quantum system that represent one's
best guess for the given data, we consider optimal regions of estimators. As
the natural counterpart of the popular maximum-likelihood point estimator, we
introduce the maximum-likelihood region---the region of largest likelihood
among all regions of the same size. Here, the size of a region is its prior
probability. Another concept is the smallest credible region---the smallest
region with pre-chosen posterior probability. For both optimization problems,
the optimal region has constant likelihood on its boundary. We discuss criteria
for assigning prior probabilities to regions, and illustrate the concepts and
methods with several examples.


title: Type-I Intermittency With Noise Versus Eyelet Intermittency

abstract:
  In this article we compare the characteristics of two types of the
intermittent behavior (type-I intermittency in the presence of noise and eyelet
intermittency taking place in the vicinity of the chaotic phase synchronization
boundary) supposed hitherto to be different phenomena. We show that these
effects are the same type of dynamics observed under different conditions. The
correctness of our conclusion is confirmed by the consideration of different
sample systems, such as quadratic map, Van der Pol oscillator and Rossler
system. Consideration of the problem concerning the upper boundary of the
intermittent behavior also confirms the validity of the statement on the
equivalence of type-I intermittency in the presence of noise and eyelet
intermittency observed in the onset of phase synchronization.


title:
Efficient implementation of the continuous-time hybridization expansion
  quantum impurity solver

abstract:
  Strongly correlated quantum impurity problems appear in a wide variety of
contexts ranging from nanoscience and surface physics to material science and
the theory of strongly correlated lattice models, where they appear as
auxiliary systems within dynamical mean-field theory. Accurate and unbiased
solutions must usually be obtained numerically, and continuous-time quantum
Monte Carlo algorithms, a family of algorithms based on the stochastic sampling
of partition function expansions, perform well for such systems. With the
present paper we provide an efficient and generic implementation of the
hybridization expansion quantum impurity solver, based on the segment
representation. We provide a complete implementation featuring most of the
recently developed extensions and optimizations. Our implementation allows one
to treat retarded interactions and provides generalized measurement routines
based on improved estimators for the self-energy and for vertex functions. The
solver is embedded in the ALPS-DMFT application package.


title: Branching Random Walk in an inhomogeneous breeding potential

abstract:
  We consider a continuous-time branching random walk in the inhomogeneous
breeding potential $\beta|.|^p$, where $\beta > 0$, $p \geq 0$. We prove that
the population almost surely explodes in finite time if $p > 1$ and doesn't
explode if $p \leq 1$. In the non-explosive cases, we determine the asymptotic
behaviour of the rightmost particle.


title:
Comprehensive Resource Measurement and Analysis for HPC Systems with
  TACC_Stats

abstract:
  High-performance computing (HPC) systems are a complex combination of
software, processors, memory, networks, and storage systems characterized by
frequent disruptive technological advances. Anomalous behavior has to be
manually diagnosed and remedied with incomplete and sparse data. It also has
been effort-intensive for users to assess the effectiveness with which they are
using the available resources. The data available for system level analyses
appear from multiple sources and in disparate formats (from Linux "sysstat" and
accounting to scheduler/kernel logs). Sysstat does not resolve its measurements
by job so that job-oriented analyses require individual measurements. There are
many user-oriented performance instrumentation and profiling tools but they
require extensive system knowledge, code changes and recompilation, and thus
are not widely used. To address this issue, we develop TACC_Stats, a
job-oriented and logically structured version of the conventional Linux
"sysstat/sar" system-wide performance monitor. We use TACC_Stats-collected data
from a supercomputer "Ranger" to demonstrate its effectiveness in two case
studies.


title: A p-adic Montel theorem and locally polynomial functions

abstract:
  We prove a version of both Jacobi's and Montel's Theorems for the case of
continuous functions defined over the field $\mathbb{Q}_p$ of $p$-adic numbers.
In particular, we prove that, if \[ \Delta_{h_0}^{m+1}f(x)=0 \ \ \text{for all}
x\in\mathbb{Q}_p, \] and $|h_0|_p=p^{-N_0}$ then, for all $x_0\in
\mathbb{Q}_p$, the restriction of $f$ over the set $x_0+p^{N_0}\mathbb{Z}_p$
coincides with a polynomial $p_{x_0}(x)=a_0(x_0)+a_1(x_0)x+...+a_m(x_0)x^m$.
Motivated by this result, we compute the general solution of the functional
equation with restrictions given by {equation} \Delta_h^{m+1}f(x)=0 \ \ (x\in X
\text{and} h\in B_X(r)=\{x\in X:\|x\|\leq r\}), {equation} whenever $f:X\to Y$,
$X$ is an ultrametric normed space over a non-Archimedean valued field
$(\mathbb{K},|...|)$ of characteristic zero, and $Y$ is a $\mathbb{Q}$-vector
space. By obvious reasons, we call these functions uniformly locally
polynomial.


title: Branching Brownian Motion with catalytic branching at the origin

abstract:
  We consider a branching Brownian motion in which binary fission takes place
only when particles are at the origin at a rate \beta > 0 on the local time
scale. We obtain results regarding the asymptotic behaviour of the number of
particles above \lambda t at time t, for \lambda > 0. As a corollary, we
establish the almost sure asymptotic speed of the rightmost particle. We also
prove a Strong Law of Large Numbers for this catalytic branching Brownian
motion.


title: Dynamical Friction in Cuspidal Galaxies

abstract:
  Dynamical friction is the process responsible for matter transport toward the
inner regions of galaxies in form of massive objects, like intermediate mass
black holes, globular clusters and small satellite galaxies. While very bright
galaxies show an almost flat luminosity profile in the inner region, fainter
ones have, usually, a peaked, cuspidal, profile toward the center. This makes
unreliable, in these cases, the use of the classic Chandrasekhar's formula for
dynamical friction in its local approximation. Using both N-body simulations
and a semi analytical approach, we have obtained reliable results for the
orbital decay of massive objects in cuspidal galaxies. A relevant result is
that of a shallower dependence of dynamical friction braking on the satellite
mass than in the usual Chandrasekhar's local expression, at least in a range of
large satellite masses.


title:
Structure of CB 26 Protoplanetary Disk Derived from Millimeter Dust
  Continuum Maps

abstract:
  Observations of the circumstellar disk in the Bok globule CB 26 at 110, 230,
and 270 GHz are presented together with the results of the simulations and
estimates of the disk parameters. These observations were obtained using the
SMA, IRAM Plateau de Bure, and OVRO interferometers. The maps have relatively
high angular resolutions (0.4-1"), making it possible to study the spatial
structure of the gas-dust disk. The disk parameters are reconstructed via a
quantitative comparison of observational and theoretical intensity maps. The
disk model used to construct the theoretical maps is based on the assumption of
hydrostatic and radiative equilibrium in the vertical direction, while the
radial surface density profile is described phenomenologically. The system of
equations for the transfer of the infrared and ultraviolet radiation is solved
in the vertical direction, in order to compute the thermal structure of the
disk. The disk best-fit parameters are derived for each map and all the maps
simultaneously, using a conjugate gradient method. The degrees of degeneracy of
the parameters describing the thermal structure and density distribution of the
disk are analyzed in detail. All three maps indicate the presence of an inner
dust-free region with a radius of approximately 35 AU, in agreement with the
conclusions of other studies. The inclination of the disk is 78 deg, which is
smaller than the value adopted in our earlier study of rotating molecular
outflows from CB 26. The model does not provide any evidence for the growth of
dust particles above a_max=0.02 cm.


title: Towards angiosperms genome evolution in time

abstract:
  In this communication, direction of evolutionary variability of parameters of
genome size and structurally functional activity of plants in angiosperm taxa
among life forms, are analysed. It is shown that, in the Cretaceous-Cenozoic
era, the nuclear genome of the plants tended to increase. Functional genome
efficiency (intensity of functions per picogram of DNA) decreased as much as
possible from highest, at trees and lianas of rain and monsoonal forests of the
Paleogene, to minimum, at shrubs, perennial and annual grasses of meadow-steppe
vegetation appeared in the Neogene. Environmental changes in temperature,
humidity and carbon dioxide concentration in adverse direction, critical for
vegetation, are discussed as the cause of growth of evolutionary genome size
and loss in its functional efficiency. The growth of the genome in the Cenozoic
did not lead to the intensification of functions, but rather led to the
expansion of the adaptive capacity of species. Growth of nuclear
deoxyribonucleic acid content can be considered as one of the effective tools
of an adaptogenesis.


title:
SL(2,R)-invariant probability measures on the moduli spaces of
  translation surfaces are regular

abstract:
  In the moduli space $H_g$ of normalized translation surfaces of genus $g$,
consider, for a small parameter $\rho >0$, those translation surfaces which
have two non-parallel saddle-connections of length $\leq \rho$. We prove that
this subset of $H_g$ has measure $o(\rho^2)$ w.r.t. any probability measure on
$H_g$ which is invariant under the natural action of $SL(2,R)$. This implies
that any such probability measure is regular, a property which is important in
relation with the recent fundamental work of Eskin-Kontsevich-Zorich on the
Lyapunov exponents of the KZ-cocycle.


title: On time-varying collaboration networks

abstract:
  The patterns of scientific collaboration have been frequently investigated in
terms of complex networks without reference to time evolution. In the present
work, we derive collaborative networks (from the arXiv repository)
parameterized along time. By defining the concept of affine group, we identify
several interesting trends in scientific collaboration, including the fact that
the average size of the affine groups grows exponentially, while the number of
authors increases as a power law. We were therefore able to identify, through
extrapolation, the possible date when a single affine group is expected to
emerge. Characteristic collaboration patterns were identified for each
researcher, and their analysis revealed that larger affine groups tend to be
less stable.


title: Radial Fast Diffusion on the Hyperbolic Space

abstract:
  We consider radial solutions to the fast diffusion equation $u_t=\Delta u^m$
on the hyperbolic space $\mathbb{H}^{N}$ for $N \ge 2$, $m\in(m_s,1)$,
$m_s=\frac{N-2}{N+2}$. By radial we mean solutions depending only on the
geodesic distance $r$ from a given point $o \in \mathbb{H}^N$. We investigate
their fine asymptotics near the extinction time $T$ in terms of a separable
solution of the form ${\mathcal V}(r,t)=(1-t/T)^{1/(1-m)}V^{1/m}(r)$, where $V$
is the unique positive energy solution, radial w.r.t. $o$, to $-\Delta
V=c\,V^{1/m}$ for a suitable $c>0$, a semilinear elliptic problem thoroughly
studied in \cite{MS08}, \cite{BGGV}. We show that $u$ converges to ${\mathcal
V}$ in relative error, in the sense that $\|{u^m(\cdot,t)}/{{\mathcal
V}^m(\cdot,t)}-1\|_\infty\to0$ as $t\to T^-$. In particular the solution is
bounded above and below, near the extinction time $T$, by multiples of
$(1-t/T)^{1/(1-m)}e^{-(N-1)r/m}$.


title: Nonsymmetric difference Whittaker functions

abstract:
  Starting with nonsymmetric global difference spherical functions, we define
and calculate spinor (nonsymmetric) global q-Whittaker functions for arbitrary
reduced root systems, which are reproducing kernels of the DAHA-Fourier
transforms of Nil-DAHA and solutions of the q-Toda-Dunkl eigenvalue problem. We
introduce the spinor q-Toda-Dunkl operators as limits of the difference Dunkl
operators in DAHA theory under the spinor variant of the Ruijsenaars procedure.
Their general algebraic theory (any reduced root systems) is the key part of
this paper, based on the new technique of W-spinors and corresponding
developments in combinatorics of affine root systems.


title:
Three-feature model to reproduce the topology of citation networks and
  the effects from authors' visibility on their h-index

abstract:
  Various factors are believed to govern the selection of references in
citation networks, but a precise, quantitative determination of their
importance has remained elusive. In this paper, we show that three factors can
account for the referencing pattern of citation networks for two topics, namely
"graphenes" and "complex networks", thus allowing one to reproduce the
topological features of the networks built with papers being the nodes and the
edges established by citations. The most relevant factor was content
similarity, while the other two - in-degree (i.e. citation counts) and {age of
publication} had varying importance depending on the topic studied. This
dependence indicates that additional factors could play a role. Indeed, by
intuition one should expect the reputation (or visibility) of authors and/or
institutions to affect the referencing pattern, and this is only indirectly
considered via the in-degree that should correlate with such reputation.
Because information on reputation is not readily available, we simulated its
effect on artificial citation networks considering two communities with
distinct fitness (visibility) parameters. One community was assumed to have
twice the fitness value of the other, which amounts to a double probability for
a paper being cited. While the h-index for authors in the community with larger
fitness evolved with time with slightly higher values than for the control
network (no fitness considered), a drastic effect was noted for the community
with smaller fitness.

categories: physics.soc-ph cs.DL cs.SI physics.data-an


title:
On Henri Poincar\'e's note "Sur une forme nouvelle des \'equations de la
  M\'ecanique"

abstract:
  We present in modern language the contents of the famous note published by
Henri Poincar\'e in 1901 "Sur une forme nouvelle des \'equations de la
M\'ecanique", in which he proves that, when a Lie algebra acts locally
transitively on the configuration space of a Lagrangian mechanical system, the
well known Euler-Lagrange equations are equivalent to a new system of
differential equations defined on the product of the configuration space with
the Lie algebra. We write these equations, called the \emph{Euler-Poincar\'e
equations}, under an intrinsic form, without any reference to a particular
system of local coordinates, and prove that they can be conveniently expressed
in terms of the Legendre and momentum maps. We discuss the use of the
Euler-Poincar\'e equation for reduction (a procedure sometimes called
Lagrangian reduction by modern authors), and compare this procedure with the
well known Hamiltonian reduction procedure (formulated in modern terms in 1974
by J.E. Marsden and A. Weinstein). We explain how a break of symmetry in the
phase space produces the appearance of a semi-direct product of groups.


title:
Size distribution of particles in Saturn's rings from aggregation and
  fragmentation

abstract:
  Saturn's rings consist of a huge number of water ice particles, with a tiny
addition of rocky material. They form a flat disk, as the result of an
interplay of angular momentum conservation and the steady loss of energy in
dissipative inter-particle collisions. For particles in the size range from a
few centimeters to a few meters, a power-law distribution of radii, $\sim
r^{-q}$ with $q \approx 3$, has been inferred; for larger sizes, the
distribution has a steep cutoff. It has been suggested that this size
distribution may arise from a balance between aggregation and fragmentation of
ring particles, yet neither the power-law dependence nor the upper size cutoff
have been established on theoretical grounds. Here we propose a model for the
particle size distribution that quantitatively explains the observations. In
accordance with data, our model predicts the exponent $q$ to be constrained to
the interval $2.75 \le q \le 3.5$. Also an exponential cutoff for larger
particle sizes establishes naturally with the cutoff-radius being set by the
relative frequency of aggregating and disruptive collisions. This cutoff is
much smaller than the typical scale of micro-structures seen in Saturn's rings.


title: Mathematics for some classes of networks

abstract:
  Network (as a general notion) is not a mathematical object - there is no even
any definition. However, there is a lot of good rigorous mathematics for
well-defined classes of networks. In sections 1-3 we give a short overview of
classes of networks which interested the authors for some time. In section 4 we
consider in detail a new class of networks, related to markets with many
agents.


title:
Identification of Literary Movements Using Complex Networks to Represent
  Texts

abstract:
  The use of statistical methods to analyze large databases of text has been
useful to unveil patterns of human behavior and establish historical links
between cultures and languages. In this study, we identify literary movements
by treating books published from 1590 to 1922 as complex networks, whose
metrics were analyzed with multivariate techniques to generate six clusters of
books. The latter correspond to time periods coinciding with relevant literary
movements over the last 5 centuries. The most important factor contributing to
the distinction between different literary styles was {the average shortest
path length (particularly, the asymmetry of the distribution)}. Furthermore,
over time there has been a trend toward larger average shortest path lengths,
which is correlated with increased syntactic complexity, and a more uniform use
of the words reflected in a smaller power-law coefficient for the distribution
of word frequency. Changes in literary style were also found to be driven by
opposition to earlier writing styles, as revealed by the analysis performed
with geometrical concepts. The approaches adopted here are generic and may be
extended to analyze a number of features of languages and cultures.


title: Genuine multiparticle entanglement of permutationally invariant states

abstract:
  We consider the problem of characterizing genuine multiparticle entanglement
for permutationally invariant states using the approach of PPT mixtures. We
show that the evaluation of this necessary biseparability criterion scales
polynomially with the number of particles. In practice, it can be evaluated
easily up to ten qubits and improves existing criteria significantly. Finally,
we show that our approach solves the problem of characterizing genuine
multiparticle entanglement for permutationally invariant three-qubit states.


title:
Posterior Consistency for Bayesian Inverse Problems through Stability
  and Regression Results

abstract:
  In the Bayesian approach, the a priori knowledge about the input of a
mathematical model is described via a probability measure. The joint
distribution of the unknown input and the data is then conditioned, using
Bayes' formula, giving rise to the posterior distribution on the unknown input.
In this setting we prove posterior consistency for nonlinear inverse problems:
a sequence of data is considered, with diminishing fluctuations around a single
truth and it is then of interest to show that the resulting sequence of
posterior measures arising from this sequence of data concentrates around the
truth used to generate the data. Posterior consistency justifies the use of the
Bayesian approach very much in the same way as error bounds and convergence
results for regularisation techniques do. As a guiding example, we consider the
inverse problem of reconstructing the diffusion coefficient from noisy
observations of the solution to an elliptic PDE in divergence form. This
problem is approached by splitting the forward operator into the underlying
continuum model and a simpler observation operator based on the output of the
model.
  In general, these splittings allow us to conclude posterior consistency
provided a deterministic stability result for the underlying inverse problem
and a posterior consistency result for the Bayesian regression problem with the
push-forward prior.
  Moreover, we prove posterior consistency for the Bayesian regression problem
based on the regularity, the tail behaviour and the small ball probabilities of
the prior.


title: Rheology of human blood plasma: Viscoelastic versus Newtonian behavior

abstract:
  We investigate the rheological characteristics of human blood plasma in shear
and elongational flows. While we can confirm a Newtonian behavior in shear flow
within experimental resolution, we find a viscoelastic behavior of blood plasma
in the pure extensional flow of a capillary break-up rheometer. The influence
of the viscoelasticity of blood plasma on capillary blood flow is tested in a
microfluidic device with a contraction-expansion geometry. Differential
pressure measurements revealed that the plasma has a pronounced flow resistance
compared to that of pure water. Supplementary measurements indicate that the
viscoelasticity of the plasma might even lead to viscoelastic instabilities
under certain conditions. Our findings show that the viscoelastic properties of
plasma should not be ignored in future studies on blood flow.


title:
Schauder estimate for solutions of Poisson's equation with Neumann
  boundary condition

abstract:
  In this work we consider the Neumann problem for the Laplace operator and we
prove an existence result in the H\"older spaces and obtain Schauder estimates.
According to our knowledge this result is not explicitly proved in the several
works devoted to the Schauder theory, where similar theorems are proved in
detail for the Dirichlet and oblique derivative problems. Our contribution is
to make explicit the existence and the estimate for the Neumann problem.


title:
Ab initio study of low-energy electronic collective excitations in bulk
  Pb: anisotropy and acoustic modes

abstract:
  A theoretical study of the dynamical dielectric response of bulk lead at low
energies is presented. The calculations are performed with full inclusion of
the electron band structure calculated by means of a first-principles
pseudopotential approach. The effect of including the spin-orbit splittings in
the band structure is analyzed, together with dynamical exchange-correlation
and local-field effects. Excitations are studied in detail, showing the
presence at small momenta of acoustic-like dispersing excitations. The
character of these modes with sound-like dispersion depends on the direction of
the momentum transfer q. In general results show strong anisotropy effects on
the dielectric response of bulk Pb. Comparison with available optical
experimental data shows good agreement.


title: Threefold Complementary Approach to Holographic QCD

abstract:
  A complementary approach, derived from (a) higher dimensional anti--de Sitter
(AdS) space, (b) light-front quantization and (c) the invariance properties of
the full conformal group in one dimension leads to a nonperturbative
relativistic light-front wave equation which incorporates essential
spectroscopic and dynamical features of hadron physics. The fundamental
conformal symmetry of the classical QCD Lagrangian in the limit of massless
quarks is encoded in the resulting effective theory. The mass scale for
confinement emerges from the isomorphism between the conformal group and
SO(2,1). This scale appears in the light-front Hamiltonian by mapping to the
evolution operator in the formalism of de Alfaro, Fubini and Furlan, which
retains the conformal invariance of the action. Remarkably, the specific form
of the confinement interaction and the corresponding modification of AdS space
are uniquely determined in this procedure.


title: Universal Taylor Series On Convex Subsets Of $\Mathbb{C}^{N}$

abstract:
  We prove the existence of holomorphic functions $f$ defined on any open
convex subset ${\rm \Omega}\subset {{\mathbb C}}^n$, whose partial sums of the
Taylor developments approximate uniformly any complex polynomial on any convex
compact set disjoint from $\bar{{\rm \Omega}}$ and on denumerably many convex
compact sets in ${{\mathbb C}}^n\backslash {\rm \Omega}$ which may meet the
boundary $\partial {\rm \Omega}$. If the universal approximation is only
required on convex compact sets disjoint from $\bar{{\rm \Omega}}$, then $f$
may be chosen to be smooth on $\partial {\rm \Omega}$, that is $f\in
A^{\infty}({\rm \Omega})$. Those are generic universalities.


title: Using Complex Networks to Quantify Consistency in the Use of Words

abstract:
  In this paper we quantify the consistency of word usage in written texts
represented by complex networks, where words were taken as nodes, by measuring
the degree of preservation of the node neighborhood.} Words were considered
highly consistent if the authors used them with the same neighborhood. When
ranked according to the consistency of use, the words obeyed a log-normal
distribution, in contrast to the Zipf's law that applies to the frequency of
use. Consistency correlated positively with the familiarity and frequency of
use, and negatively with ambiguity and age of acquisition. An inspection of
some highly consistent words confirmed that they are used in very limited
semantic contexts. A comparison of consistency indices for 8 authors indicated
that these indices may be employed for author recognition. Indeed, as expected
authors of novels could be distinguished from those who wrote scientific texts.
Our analysis demonstrated the suitability of the consistency indices, which can
now be applied in other tasks, such as emotion recognition.


title: Cylinder deformations in orbit closures of translation surfaces

abstract:
  Let M be a translation surface. We show that certain deformations of M
supported on the set of all cylinders in a given direction remain in the
GL(2,R)-orbit closure of M. Applications are given concerning complete
periodicity, field of definition, and the number of of parallel cylinders which
may be found on a translation surface in a given orbit closure.
  The proof uses Eskin-Mirzakhani-Mohammadi's recent theorem on orbit closures
of translation surfaces, as well as results of Minsky-Weiss and Smillie-Weiss
on the dynamics of horocycle flow.


title:
Dynamical Transition in Interaction Quenches of the One-Dimensional
  Hubbard Model

abstract:
  We show that the non-equilibrium time-evolution after interaction quenches in
the one dimensional, integrable Hubbard model exhibits a dynamical transition
in the half-filled case. This transition ceases to exist upon doping. Our study
is based on systematically extended equations of motion. Thus it is controlled
for small and moderate times; no relaxation effects are neglected. Remarkable
similarities to the quench dynamics in the infinite dimensional Hubbard model
are found suggesting dynamical transitions to be a general feature of quenches
in such models.


title:
Gaussian wavepacket dynamics and quantum tunneling in asymmetric
  double-well systems

abstract:
  We have studied dynamical properties and quantum tunneling in asymmetric
double-well (DW) systems, by solving Schr\"{o}dinger equation with the use of
two kinds of spectral methods for initially squeezed Gaussian wavepackets. Time
dependences of wavefunction, averages of position and momentum, the
auto-correlation function, an uncertainty product and the tunneling probability
have been calculated. Our calculations have shown that (i) the tunneling
probability is considerably reduced by a potential asymmetry $\Delta U$, (ii) a
resonant tunneling with $|\Delta U| \simeq \kappa \:\hbar \omega$ is realized
for motion starting from upper minimum of asymmetric potential wells, but not
for motion from lower minimum, ($\kappa=0,1,2,...$; $\omega$: oscillator
frequency at minima), (iii) the reduction of the tunneling probability by an
asymmetry is less significant for the Gaussian wavepacket with narrower width,
and (iv) the uncertainty product $<\delta x^2> <\delta p^2>$ in the resonant
tunneling state is larger than that in the non-resonant tunneling state. The
item (ii) is in contrast with the earlier study [Mugnai {\it et al.}, Phys.
Rev. A {\bf 38} (1987) 2182] which showed the symmetric result for motion
starting from upper and lower minima.


title:
How conformational changes can affect catalysis, inhibition and drug
  resistance of enzymes with induced-fit binding mechanism such as the HIV-1
  protease

abstract:
  A central question is how the conformational changes of proteins affect their
function and the inhibition of this function by drug molecules. Many enzymes
change from an open to a closed conformation upon binding of substrate or
inhibitor molecules. These conformational changes have been suggested to follow
an induced-fit mechanism in which the molecules first bind in the open
conformation in those cases where binding in the closed conformation appears to
be sterically obstructed such as for the HIV-1 protease. In this article, we
present a general model for the catalysis and inhibition of enzymes with
induced-fit binding mechanism. We derive general expressions that specify how
the overall catalytic rate of the enzymes depends on the rates for binding, for
the conformational changes, and for the chemical reaction. Based on these
expressions, we analyze the effect of mutations that mainly shift the
conformational equilibrium on catalysis and inhibition. If the overall
catalytic rate is limited by product unbinding, we find that mutations that
destabilize the closed conformation relative to the open conformation increase
the catalytic rate in the presence of inhibitors by a factor exp(ddG/RT) where
ddG is the mutation-induced shift of the free-energy difference between the
conformations. This increase in the catalytic rate due to changes in the
conformational equilibrium is independent of the inhibitor molecule and, thus,
may help to understand how non-active-site mutations can contribute to the
multi-drug-resistance that has been observed for the HIV-1 protease. A
comparison to experimental data for the non-active-site mutation L90M of the
HIV-1 protease indicates that the mutation slightly destabilizes the closed
conformation of the enzyme.


title:
An examination of the effect on the Icelandic Banking System of
  Ver{\dh}trygg{\dh} L\'{a}n (Indexed-Linked Loans)

abstract:
  In 1979 following a decade of hyperinflation, Iceland introduced
Ver{\dh}trygg{\dh} l\'an, negatively amortised, index-linked loans whose
outstanding principal is increased by the rate of the consumer price inflation
index(CPI). The loans were part of a general government policy which used
indexation to the CPI to address the economic consequences of the
hyperinflation. Although most other forms of indexation were subsequently
removed, loan indexation has remained, and these loans now comprise the
majority of mortgages in Iceland. Although it is still often argued that
index-linked loans helped to stop the hyperinflation, these arguments are
typically based on high level macro-economic interpretations of the Icelandic
economy, they fail to identify specific mechanisms to support their claims. In
this paper we take the opposite approach, and present a detailed analysis of
the monetary mechanics used for the loans at the double entry bookkeeping level
of the banking system.
  Based on this analysis there appears to be no evidence or mechanism that
would support the claim that index-linked loans reduce or stop inflation. On
the contrary: our research shows that the bookkeeping treatment of these loans
within the banking system directly contributes to the banking system's monetary
expansion rate, and hence index-linked loans act to increase the inflation rate
to which they are linked, rather than reducing it. They consequently create a
positive feedback loop within the banking system's monetary regulation
operating directly on the money supply. Since the feedback into monetary
expansion only occurs at annual CPI rates above approximately 2%, we suggest
one solution would be to stabilise the money supply to 0% growth, and we
explore some ways this could be achieved by modifying the Basel Regulatory
Framework within the Icelandic Banking System.


title:
Lagrangian fibration in duality on moduli space of rank two logarithmic
  connections over the projective line

abstract:
  We study the moduli space of logarithmic connections of rank 2 on the Riemann
sphere minus n points with fixed spectral data. There are two natural
Lagrangian maps: one towards apparent singularities of the associated fuchsian
scalar equation, and another one towards moduli of parabolic bundles. We show
that these are transversal and dual to each other. In case n=5, we recover the
beautiful geometry of Del Pezzo surfaces of degree 4.


title:
High order fluid model for streamer discharges: I. Derivation of model
  and transport data

abstract:
  Streamer discharges pose basic problems in plasma physics, as they are very
transient, far from equilibrium and have high ionization density gradients;
they appear in diverse areas of science and technology. The present paper
focuses on the derivation of a high order fluid model for streamers. Using
momentum transfer theory, the fluid equations are obtained as velocity moments
of the Boltzmann equation; they are closed in the local mean energy
approximation and coupled to the Poisson equation for the space charge
generated electric field. The high order tensor in the energy flux equation is
approximated by the product of two lower order moments to close the system. The
average collision frequencies for momentum and energy transfer in elastic and
inelastic collisions for electrons in molecular nitrogen are calculated from a
multi term Boltzmann equation solution. We then discuss, in particular, (1) the
correct implementation of transport data in streamer models; (2) the accuracy
of the two term approximation for solving Boltzmann's equation in the context
of streamer studies; and (3) the evaluation of the mean-energy-dependent
collision rates for electrons required as an input in the high order fluid
model. In the second paper in this sequence, we will discuss the solutions of
the high order fluid model for streamers, based on model and input data derived
in the present paper.


title:
High order fluid model for streamer discharges. II. Numerical solution
  and investigation of planar fronts

abstract:
  The high order fluid model developed in the preceding paper is employed here
to study the propagation of negative planar streamer fronts in pure nitrogen.
The model consists of the balance equations for electron density, average
electron velocity, average electron energy and average electron energy flux.
These balance equations have been obtained as velocity moments of Boltzmann's
equation and are here coupled to the Poisson equation for the space charge
electric field. Here the results of simulations with the high order model, with
a PIC/MC (Particle in cell/Monte Carlo) model and with the first order fluid
model based on the hydrodynamic drift-diffusion approximation are presented and
compared. The comparison with the MC model clearly validates our high order
fluid model, thus supporting its correct theoretical derivation and numerical
implementation. The results of the first order fluid model with local field
approximation, as usually used for streamer discharges, show considerable
deviations. Furthermore, we study the inaccuracies of simulation results caused
by an inconsistent implementation of transport data into our high order fluid
model. We also demonstrate the importance of the energy flux term in the high
order model by comparing with results where this term is neglected. Finally,
results with an approximation for the high order tensor in the energy flux
equation is found to agree well with the PIC/MC results for reduced electric
fields up to 1000 Townsend, as considered in this work.