title:
Abrahamse's Theorem for matrix-valued symbols and subnormal Toeplitz
  completions

abstract:
  This paper deals with subnormality of Toeplitz operators with matrix-valued
symbols and, in particular, with an appropriate reformulation of Halmos's
Problem 5: Which subnormal Toeplitz operators with matrix-valued symbols are
either normal or analytic? In 1976, M. Abrahamse showed that if $\varphi\in
L^\infty$ is such that $\varphi$ or $\overline\varphi$ is of bounded type and
if $T_\varphi$ is subnormal, then $T_\varphi$ is either normal or analytic. In
this paper we establish a matrix-valued version of Abrahamse's Theorem and then
apply this result to solve the following Toeplitz completion problem: Find the
unspecified Toeplitz entries of the partial block Toeplitz matrix $$
A:=\begin{bmatrix} T_{\overline b_\alpha} & ?\\?& T_{\overline
b_\beta}\end{bmatrix}\quad\hbox{($\alpha,\beta\in\mathbb D$)} $$ so that $A$
becomes subnormal, where $b_\lambda$ is a Blaschke factor of the form
$b_\lambda(z):=\frac{z-\lambda}{1-\overline \lambda z}$ ($\lambda\in \mathbb
D$).


title:
Mining the ESO WFI and INT WFC archives for known Near Earth Asteroids.
  Mega-Precovery software

abstract:
  The ESO/MPG WFI and the INT WFC wide field archives comprising 330,000 images
were mined to search for serendipitous encounters of known Near Earth Asteroids
(NEAs) and Potentially Hazardous Asteroids (PHAs). A total of 152 asteroids (44
PHAs and 108 other NEAs) were identified using the PRECOVERY software, their
astrometry being measured on 761 images and sent to the Minor Planet Centre.
Both recoveries and precoveries were reported, including prolonged orbital arcs
for 18 precovered objects and 10 recoveries. We analyze all new opposition data
by comparing the orbits fitted before and after including our contributions. We
conclude the paper presenting Mega-Precovery, a new online service focused on
data mining of many instrument archives simultaneously for one or a few given
asteroids. A total of 28 instrument archives have been made available for
mining using this tool, adding together about 2.5 million images forming the
Mega-Archive.


title: A note on exact Lagrangian cobordisms with disconnected Legendrian ends

abstract:
  We provide in this note two relevant examples of Lagrangian cobordisms. The
first one gives an example of two exact Lagrangian submanifolds which cannot be
composed in an exact fashion. The second one is an example of an exact
Lagrangian cobordism on which all primitive of the Liouville form is not
constant on the negative end and such that the positive end is a stabilisation
whereas the negative end admits augmentations. These examples emphasise point
(i) of the definition of exact Lagrangian cobordisms in [6]. In order to
provide such examples we construct Lagrangian immersions with single double
points using an explicit model and interpret such Lagrangians as cobordisms
from the Hopf link.


title: Polarisation control of optically pumped terahertz lasers

abstract:
  Optical pumping of excited exciton states in semiconductor quantum wells is a
tool for realisation of ultra-compact terahertz (THz) lasers based on
stimulated optical transition between excited (2p) and ground (1s) exciton
state. We show that the probability of two-photon absorption by a 2p-exciton is
strongly dependent on the polarisation of both photons. Variation of the
threshold power for THz lasing by a factor of 5 is predicted by switching from
linear to circular pumping. We calculate the polarisation dependence of the THz
emission and identify photon polarisation configurations for achieving maximum
THz photon generation quantum efficiency.


title: Towards a Logic-Based Unifying Framework for Computing

abstract:
  In this paper we propose a logic-based, framework inspired by artificial
intelligence, but scaled down for practical database and programming
applications. Computation in the framework is viewed as the task of generating
a sequence of state transitions, with the purpose of making an agent's goals
all true. States are represented by sets of atomic sentences (or facts),
representing the values of program variables, tuples in a coordination
language, facts in relational databases, or Herbrand models.
  In the model-theoretic semantics, the entire sequence of states and events
are combined into a single model-theoretic structure, by associating timestamps
with facts and events. But in the operational semantics, facts are updated
destructively, without timestamps. We show that the model generated by
destructive updates is identical to the model generated by reasoning with facts
containing timestamps. We also extend the model with intentional predicates and
composite event predicates defined by logic programs containing conditions in
first-order logic, which query the current state.


title:
Performance of solenoids vs. quadrupoles in focusing and energy
  selection of laser accelerated protons

abstract:
  Using laser accelerated protons or ions for various applications - for
example in particle therapie or short-pulse radiographic diagnostics - requires
an effective method of focusing and energy selection. We derive an analytical
scaling for the performance of a solenoid compared with a doublet/triplet as
function of the energy, which is confirmed by TRACEWIN simulations. The scaling
shows that above a few MeV a solenoid needs to be pulsed or super-conducting,
whereas the quadrupoles can remain conventional. The transmission of the
triplet is found only 25% lower than that of the equivalent solenoid. Both
systems are equally suitable for energy selection based on their chromatic
effect as is shown using an initial distribution following the RPA simulation
model by Yan et al.\cite{yan2009}.


title:
High-Precision Measurement of Rydberg State Hyperfine Splitting in a
  Room-Temperature Vapour Cell

abstract:
  We present direct measurements of the hyperfine splitting of Rydberg states
in rubidium 87 using Electromagnetically Induced Transparency (EIT)
spectroscopy in a room-temperature vapour cell. With this method, and in spite
of Doppler-broadening, line-widths of 3.7 MHz FWHM, i.e. significantly below
the intermediate state natural linewidth are reached. This allows resolving
hyperfine splittings for Rydberg s-states with n=20...24. With this method we
are able to determine Rydberg state hyperfine splittings with an accuracy of
approximately 100 kHz. Ultimately our method allows accuracies of order 5 kHz
to be reached. Furthermore we present a direct measurement of
hyperfine-resolved Rydberg state Stark-shifts. These results will be of great
value for future experiments relying on excellent knowledge of Rydberg-state
energies and


title: Analytical Fits to the Synchrotron Functions

abstract:
  Accurate fitting formulae to the synchrotron function, $F(x)$, and its
complementary function, $G(x)$, are performed and presented. The corresponding
relative errors are less than $0.26\%$ and $0.035\%$ for $F(x) $ and $G(x)$,
respectively. To this aim we have, first, fitted the modified Bessel functions,
$K_{5/3}(x)$ and $K_{2/3}(x)$. For all the fitted functions, the general fit
expression is the same, and is based on the well known asymptotic forms for low
and large $x$-values for each function. It consists of multiplying each
asymptotic form by a function that tends to unity or zero for low and large
$x$-values. Simple formulae are suggested in this paper, depending on
adjustable parameters. The latter have been determined by adopting the
Levenberg-Marquardt algorithm. The proposed formulae should be of great utility
and simplicity for computing spectral powers and the degree of polarization for
the synchrotron radiation, both for laboratory and astrophysical applications.


title:
Eigenvalues for a Schrodinger operator on a closed Riemannian manifold
  with holes

abstract:
  In this article we consider a closed Riemannian manifold (M,g) and A a subset
of M. The purpose of this article is the comparison between the eigenvalues of
a Schrodinger operator on the manifold (M,g) and the eigenvalues on the
manifold (M-A,g) with Dirichlet boundary conditions.


title: Models of mixed hadron-quark-gluon matter

abstract:
  The problem of the possible creation of mixed hadron-quark-gluon matter, that
can arise at nuclear or heavy-ion collisions, is addressed. It is shown that
there can exist several different kinds of such a mixed matter. The main types
of this matter can be classified onto macroscopic mixture, mesoscopic mixture,
and microscopic mixture. Different types of these mixtures require principally
different descriptions. Before comparing theoretical results with experiments,
one has to analyze thermodynamic stability of all these mixed states,
classifying them onto unstable, metastable, and stable. Only the most stable
mixed state should be compared with experiment. Mixed states also need to be
checked with regard to stratification instability. In addition to the static
stratification instability, there can happen dynamic instability occurring in a
mixture of components moving with respect to each other. This effect, called
counterflow instability, has also to be taken into account, since it can lead
to the stratification of mixed matter.


title: A Curie-Weiss model of self-organized criticality

abstract:
  We try to design a simple model exhibiting self-organized criticality, which
is amenable to a rigorous mathematical analysis. To this end, we modify the
generalized Ising Curie-Weiss model by implementing an automatic control of the
inverse temperature. For a class of symmetric distributions whose density
satisfies some integrability conditions, we prove that the sum $S_n$ of the
random variables behaves as in the typical critical generalized Ising
Curie-Weiss model. The fluctuations are of order $n^{3/4}$, and the limiting
law is $C\exp(-\lambda x^4)\,dx$ where $C$ and $\lambda$ are suitable positive
constants.


title:
Vibron-vibron coupling from ab initio molecular dynamics simulations of
  a silicon cluster

abstract:
  We study the temperature dependent dynamical processes of a Si10H16 cluster
and obtain a blue shift of the Si-Si vibrational modes with transverse acoustic
character and a red shift of the other vibrational modes with increasing
temperature. We link this behavior to the bond length expansion and the varying
sign of the Grueneisen parameter. We further present a computational approach
able to extract the vibron-vibron coupling strength in clusters or molecules.
Our approach is based on ab initio Born-Oppenheimer molecular dynamics and a
projection formalism able to deliver the individual vibron occupation numbers.
From the Fourier transform of the vibron energy autocorrelation function we
obtain the coupling strength of each vibron to the most strongly coupled
vibronic states. We find vibron-vibron coupling strength up to 2.5 THz with a
moderate increase of about 5 % when increasing the temperature from 50 to 150
K.


title:
Some consequences of GUP induced ultraviolet wavevector cutoff in
  one-dimensional Quantum Mechanics

abstract:
  A projection method is proposed to treat the one-dimensional Schrodinger
equation for a single particle when the Generalized Uncertainty Principle (GUP)
generates an ultraviolet (UV) wavevector cutoff. The existence of a unique
coordinate representation called the naive one is derived from the
one-parameter family of discrete coordinate representations. In this
bandlimited Quantum Mechanics a continuous potential is reconstructed from
discrete sampled values observed by means of a particle in maximally localized
states. It is shown that bandlimitation modifies the speed of the center and
the spreading time of a Gaussian wavepacket moving in free space. Indication is
found that GUP accompanied by bandlimitation may cause departures of the
low-lying energy levels of a particle in a box from those in ordinary Quantum
Mechanics much less suppressed than commonly thought when GUP without
bandlimitation is in work.


title:
$ZZ\gamma$ and $Z\gamma\gamma$ anomalous couplings in $\gamma p$
  collision at the LHC

abstract:
  We study the sensitivity of anomalous $ZZ\gamma$ and $Z\gamma\gamma$ vertex
couplings $h_3^{\gamma,Z}$ and $h_4^{\gamma,Z}$, which would be powerful sign
of new physics, via the subprocess $\gamma q\to Z q$ of the main reaction
$pp\to p\gamma p\to Z q X$ at the LHC. We calculated limits on these couplings
at 95% confidence level for various values of integrated luminosity. It is
shown that the $pp\to p\gamma p\to Z q X$ reaction provides one order of
magnitude improvement in the couplings $h_4^{\gamma,Z}$ compared to the current
experimental limits obtained in events dominated by $Z\gamma$ production from
the LHC and Tevatron.


title: An Impossibility Result for High Dimensional Supervised Learning

abstract:
  We study high-dimensional asymptotic performance limits of binary supervised
classification problems where the class conditional densities are Gaussian with
unknown means and covariances and the number of signal dimensions scales faster
than the number of labeled training samples. We show that the Bayes error,
namely the minimum attainable error probability with complete distributional
knowledge and equally likely classes, can be arbitrarily close to zero and yet
the limiting minimax error probability of every supervised learning algorithm
is no better than a random coin toss. In contrast to related studies where the
classification difficulty (Bayes error) is made to vanish, we hold it constant
when taking high-dimensional limits. In contrast to VC-dimension based minimax
lower bounds that consider the worst case error probability over all
distributions that have a fixed Bayes error, our worst case is over the family
of Gaussian distributions with constant Bayes error. We also show that a
nontrivial asymptotic minimax error probability can only be attained for
parametric subsets of zero measure (in a suitable measure space). These results
expose the fundamental importance of prior knowledge and suggest that unless we
impose strong structural constraints, such as sparsity, on the parametric
space, supervised learning may be ineffective in high dimensional small sample
settings.


title: Reconstructing a Graph from Path Traces

abstract:
  This paper considers the problem of inferring the structure of a network from
indirect observations. Each observation (a "trace") is the unordered set of
nodes which are activated along a path through the network. Since a trace does
not convey information about the order of nodes within the path, there are many
feasible orders for each trace observed, and thus the problem of inferring the
network from traces is, in general, illposed. We propose and analyze an
algorithm which inserts edges by ordering each trace into a path according to
which pairs of nodes in the path co-occur most frequently in the observations.
When all traces involve exactly 3 nodes, we derive necessary and sufficient
conditions for the reconstruction algorithm to exactly recover the graph.
Finally, for a family of random graphs, we present expressions for
reconstruction error probabilities (false discoveries and missed detections).


title: Maximum Likelihood Associative Memories

abstract:
  Associative memories are structures that store data in such a way that it can
later be retrieved given only a part of its content -- a sort-of
error/erasure-resilience property. They are used in applications ranging from
caches and memory management in CPUs to database engines. In this work we study
associative memories built on the maximum likelihood principle. We derive
minimum residual error rates when the data stored comes from a uniform binary
source. Second, we determine the minimum amount of memory required to store the
same data. Finally, we bound the computational complexity for message
retrieval. We then compare these bounds with two existing associative memory
architectures: the celebrated Hopfield neural networks and a neural network
architecture introduced more recently by Gripon and Berrou.


title: Feynman Graphs

abstract:
  In these lectures I discuss Feynman graphs and the associated Feynman
integrals. Of particular interest are the classes functions, which appear in
the evaluation of Feynman integrals. The most prominent class of functions is
given by multiple polylogarithms. The algebraic properties of multiple
polylogarithms are reviewed in the second part of these lectures. The final
part of these lectures is devoted to Feynman integrals, which cannot be
expressed in terms of multiple polylogarithms. Methods from algebraic geometry
provide tools to tackle these integrals.


title: The many surprises of maximal supergravity

abstract:
  We describe recent developments regarding gauged N=8 supergravity in D=4.
Using the embedding tensor formulation we show how to classify all the extrema
of this theory with a G2 residual gauge symmetry. Our classification contains
all the vacua of the recently discovered family of SO(8) gauged maximal
supergravities.


title:
Microscopic structure of shocks and antishocks in the ASEP conditioned
  on low current

abstract:
  We study the time evolution of the ASEP on a one-dimensional torus with $L$
sites, conditioned on an atypically low current up to a finite time $t$. For a
certain one-parameter family of initial measures with a shock we prove that the
shock position performs a biased random walk on the torus and that the measure
seen from the shock position remains invariant. We compute explicitly the
transition rates of the random walk. For the large scale behaviour this result
suggests that there is an atypically low current such that the optimal density
profile that realizes this current is a hyperbolic tangent with a travelling
shock discontinuity. For an atypically low local current across a single bond
of the torus we prove that a product measure with a shock at an arbitrary
position and an antishock at the conditioned bond remains a convex combination
of such measures at all times which implies that the antishock remains
microscopically stable under the locally conditioned dynamics. We compute the
coefficients of the convex combinations.

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


title:
General theory for interactions in sufficient cause models with
  dichotomous exposures

abstract:
  The sufficient-component cause framework assumes the existence of sets of
sufficient causes that bring about an event. For a binary outcome and an
arbitrary number of binary causes any set of potential outcomes can be
replicated by positing a set of sufficient causes; typically this
representation is not unique. A sufficient cause interaction is said to be
present if within all representations there exists a sufficient cause in which
two or more particular causes are all present. A singular interaction is said
to be present if for some subset of individuals there is a unique minimal
sufficient cause. Empirical and counterfactual conditions are given for
sufficient cause interactions and singular interactions between an arbitrary
number of causes. Conditions are given for cases in which none, some or all of
a given set of causes affect the outcome monotonically. The relations between
these results, interactions in linear statistical models and Pearl's
probability of causation are discussed.


title:
The Yang-Mills vacuum wave functional in three dimensions at weak
  coupling

abstract:
  We compute the Yang-Mills vacuum wave functional in three dimensions at weak
coupling with O(e^2) precision. We use two different methods to solve the
Schroedinger functional equation. One of them generalizes to O(e^2) the method
followed by Hatfield at O(e). The other uses the weak coupling version of the
gauge invariant formulation of the Schroedinger equation and the ground state
wave functional followed by Karabali, Nair, and Yelnikov. We compare both
results and discuss the differences between them.


title: On Wiener Phase Noise Channels at High Signal-to-Noise Ratio

abstract:
  Consider a waveform channel where the transmitted signal is corrupted by
Wiener phase noise and additive white Gaussian noise (AWGN). A discrete-time
channel model that takes into account the effect of filtering on the phase
noise is developed. The model is based on a multi-sample receiver which, at
high Signal-to-Noise Ratio (SNR), achieves a rate that grows logarithmically
with the SNR if the number of samples per symbol grows with the square-root of
the SNR. Moreover, the pre-log factor is at least 1/2 in this case.


title: Single-photon-level optical storage in a solid-state spin-wave memory

abstract:
  A long-lived quantum memory is a firm requirement for implementing a quantum
repeater scheme. Recent progress in solid-state rare-earth-ion-doped systems
justifies their status as very strong candidates for such systems. Nonetheless
an optical memory based on spin-wave storage at the single-photon-level has not
been shown in such a system to date, which is crucial for achieving the long
storage times required for quantum repeaters. In this letter we show that it is
possible to execute a complete atomic frequency comb (AFC) scheme, including
spin-wave storage, with weak coherent pulses of $\bar{n} = 2.5 \pm 0.6$ photons
per pulse. We discuss in detail the experimental steps required to obtain this
result and demonstrate the coherence of a stored time-bin pulse. We show a
noise level of $(7.1 \pm 2.3)10^{-3}$ photons per mode during storage, this
relatively low-noise level paves the way for future quantum optics experiments
using spin-waves in rare-earth-doped crystals.


title:
Spin-Phonon coupling in Y$_2$NiMnO$_6$ double perovskite probed by Raman
  spectroscopy

abstract:
  We performed Raman spectroscopy measurements under temperature changes from
10 K up to 850 K to probe the phonon-spin coupling in Y$_2$NiMnO$_6$. The
spin-phonon coupling was observed as a softening of the stretching mode,
indicating this phonon stabilizes the magnetic interaction. The result
indicates the rare earth ionic radius in Re$_2$NiMnO$_6$ double perovskites is
not the unique parameter influencing the spin-coupling magnitude.


title:
On cubic bridgeless graphs whose edge-set cannot be covered by four
  perfect matchings

abstract:
  The problem of establishing the number of perfect matchings necessary to
cover the edge-set of a cubic bridgeless graph is strictly related to a famous
conjecture of Berge and Fulkerson. In this paper we prove that deciding whether
this number is at most 4 for a given cubic bridgeless graph is NP-complete. We
also construct an infinite family $\cal F$ of snarks (cyclically
4-edge-connected cubic graphs of girth at least five and chromatic index four)
whose edge-set cannot be covered by 4 perfect matchings. Only two such graphs
were known. It turns out that the family $\cal F$ also has interesting
properties with respect to the shortest cycle cover problem. The shortest cycle
cover of any cubic bridgeless graph with $m$ edges has length at least
$\tfrac43m$, and we show that this inequality is strict for graphs of $\cal F$.
We also construct the first known snark with no cycle cover of length less than
$\tfrac43m+2$.


title:
Classification of the solutions to an overdetermined problem in the
  plane

abstract:
  We classify the solutions to an overdetermined elliptic problem in the plane
in the finite connectivity case. This is achieved by establishing a one-to-one
correspondence between the solutions to this problem and a certain type of
minimal surfaces.


title:
Probing Ultrafast Dynamics with Time-resolved Multi-dimensional
  Coincidence Imaging: Butadiene

abstract:
  Time-resolved coincidence imaging of photoelectrons and photoions represents
the most complete experimental measurement of ultrafast excited state dynamics,
a multi-dimensional measurement for a multi-dimensional problem. Here we
present the experimental data from recent coincidence imaging experiments,
undertaken with the aim of gaining insight into the complex ultrafast
excited-state dynamics of 1,3-butadiene initiated by absorption of 200 nm
light. We discuss photoion and photoelectron mappings of increasing
dimensionality, and focus particularly on the time-resolved photoelectron
angular distributions (TRPADs), expected to be a sensitive probe of the
electronic evolution of the excited state and to provide significant
information beyond the time-resolved photoelectron spectrum (TRPES). Complex
temporal behaviour is observed in the TRPADs, revealing their sensitivity to
the dynamics while also emphasising the difficulty of interpretation of these
complex observables. From the experimental data some details of the wavepacket
dynamics are discerned relatively directly, and we make some tentative
comparisons with existing ab initio calculations in order to gain deeper
insight into the experimental measurements; finally, we sketch out some
considerations for taking this comparison further in order to bridge the gap
between experiment and theory.


title: Chaos Pass Filter: Linear Response of Synchronized Chaotic Systems

abstract:
  The linear response of synchronized time-delayed chaotic systems to small
external perturbations, i.e., the phenomenon of chaos pass filter, is
investigated for iterated maps. The distribution of distances, i.e., the
deviations between two synchronized chaotic units due to external perturbations
on the transfered signal, is used as a measure of the linear response. It is
calculated numerically and, for some special cases, analytically. Depending on
the model parameters this distribution has power law tails in the region of
synchronization leading to diverging moments of distances. This is a
consequence of multiplicative and additive noise in the corresponding linear
equations due to chaos and external perturbations. The linear response can also
be quantified by the bit error rate of a transmitted binary message which
perturbs the synchronized system. The bit error rate is given by an integral
over the distribution of distances and is calculated analytically and
numerically. It displays a complex nonmonotonic behavior in the region of
synchronization. For special cases the distribution of distances has a fractal
structure leading to a devil's staircase for the bit error rate as a function
of coupling strength. The response to small harmonic perturbations shows
resonances related to coupling and feedback delay times. A bi-directionally
coupled chain of three units can completely filtered out the perturbation. Thus
the second moment and the bit error rate become zero.


title:
Towards solar activity maximum 24 as seen by GOLF and VIRGO/SPM
  instruments

abstract:
  All p-mode parameters vary with time as a response to the changes induced by
the cyclic behavior of solar magnetic activity. After the unusual long
solar-activity minimum between cycles 23 and 24, where the p-mode parameters
have shown a different behavior than the surface magnetic proxies, we analyze
the temporal variation of low-degree p-mode parameters measured by GOLF (in
velocity) and VIRGO (in intensity) Sun-as-a-star instruments on board SoHO. We
then compared our results with other activity proxies.


title:
Scaling laws in critical random Boolean networks with general in- and
  out-degree distributions

abstract:
  We evaluate analytically and numerically the size of the frozen core and
various scaling laws for critical Boolean networks that have a power-law in-
and/or out-degree distribution. To this purpose, we generalize an efficient
method that has previously been used for conventional random Boolean networks
and for networks with power-law in-degree distributions. With this
generalization, we can also deal with power-law out-degree distributions. When
the power-law exponent is between 2 and 3, the second moment of the
distribution diverges with network size, and the scaling exponent of the
nonfrozen nodes depends on the degree distribution exponent. Furthermore, the
exponent depends also on the dependence of the cutoff of the degree
distribution on the system size. Altogether, we obtain an impressive number of
different scaling laws depending on the type of cutoff as well as on the
exponents of the in- and out-degree distributions. We confirm our scaling
arguments and analytical considerations by numerical investigations.


title:
Cross-Pollination of Information in Online Social Media: A Case Study on
  Popular Social Networks

abstract:
  Owing to the popularity of Online Social Media (OSM), Internet users share a
lot of information (including personal) on and across OSM services every day.
For example, it is common to find a YouTube video embedded in a blog post with
an option to share the link on Facebook. Users recommend, comment, and forward
information they receive from friends, contributing in spreading the
information in and across OSM services. We term this information diffusion
process from one OSM service to another as Cross-Pollination, and the network
formed by users who participate in Cross-Pollination and content produced in
the network as \emph{Cross-Pollinated network}. Research has been done about
information diffusion within one OSM service, but little is known about
Cross-Pollination. In this paper, we aim at filling this gap by studying how
information (video, photo, location) from three popular OSM services (YouTube,
Flickr and Foursquare) diffuses on Twitter, the most popular microblogging
service. Our results show that Cross-Pollinated networks follow temporal and
topological characteristics of the diffusion OSM (Twitter in our study).
Furthermore, popularity of information on source OSM (YouTube, Flickr and
Foursquare) does not imply its popularity on Twitter. Our results also show
that Cross-Pollination helps Twitter in terms of traffic generation and user
involvement, but only a small fraction of videos and photos gain a significant
number of views from Twitter. We believe this is the first research work which
explicitly characterizes the diffusion of information across different OSM
services.


title: Solar surface and atmospheric dynamics: The Photosphere

abstract:
  Various aspects of the magnetism of the quiet sun are reviewed. The
suggestion that a small scale dynamo acting at granular scales generates what
we call the quiet sun fields is studied in some detail. Although dynamo action
has been proved numerically, it is argued that current simulations are still
far from achieving the complexity that might be present on the Sun. We based
this statement not so much on the low magnetic Reynolds numbers used in the
simulations but, above all, in the smallness of the kinetic Reynolds numbers
employed by them. It is argued that the low magnetic Prandtl number at the
solar surface may pose unexpected problems for the identification of the
observed internetwork fields with dynamo action at granular scales. Some form
of turbulent dynamo at bigger (and deeper) scales is favored. The comparison
between the internetwork fields observed by Hinode and the magnetism inferred
from Hanle measurements are converging towards a similar description. They are
both described as randomly oriented, largely transverse fields in the several
hecto-Gauss range. These similarities are ever making more natural to assume
that they are the same. However, and because of the large voids of magnetic
flux observed in the spatial distribution of the internetwork fields, it is
argued that they are not likely to be generated by dynamo action in the
intergranular lanes. It is concluded that if a dynamo is acting at granular
scales, the end product might have not been observed yet at current spatial
resolutions and sensitivities with the Zeeman effect.


title: The Sun-as-a-star observations: GOLF & VIRGO on SoHO, and BiSON network

abstract:
  Sun-as-a-star observations are very important for the study of the conditions
within the Sun and in particular for the deep interior where higher degree
modes do not penetrate. They are also of significance in this era of dramatic
advances in stellar asteroseismology as they are comparable to those measured
in other stars by asteroseismic missions such as CoRoT, Kepler, and MOST. More
than 17 years of continuous measurements of SoHO and more than 30 years of
BiSON observations provide very long data sets of uninterrupted helioseismic
observations. In this work, we discuss the present status of all these
facilities that continue to provide state- of-the-art measurements and
invaluable data to improve our knowledge of the deepest layers of the Sun and
its structural changes during the activity cycle.


title:
Comments on "A two-parameter generalization of Shannon-Khinchin Axioms
  and the uniqueness theorem"

abstract:
  Wada and Suyari proposed a two-parameter generalization of Shannon-Khinchin
axioms (TGSK axioms) [T. Wada and H. Suyari, Physics Letters A, 368(3)]. We
derive a new class of entropies which differs from Wada-Suyari's class by
fixing the incorrectness which occurs in the mentioned paper. Also, we consider
a two-parameter class of entropies derived from the maxent principle proposed
in [Kaniadakis, G. and Lissia, M. and Scarfone, AM, Physica A: Statistical
Mechanics and its Applications, 340(1)]. We rederived this class by changing
initial condition, obtaining the same class as our class derived from TGSK
axioms.


title:
Breathing Pyrochlore Lattice Realized in A-Site Ordered Spinel Oxides
  LiGaCr4O8 and LiInCr4O8

abstract:
  A unique type of frustrated lattice is found in two A-site ordered spinel
oxides, LiGaCr4O8 and LiInCr4O8. Because of the large size mismatch between Li+
and Ga3+/In3+ ions at the A site, the pyrochlore lattice, made up of Cr3+ ions
carrying spin 3/2, becomes an alternating array of small and large tetrahedra,
i.e., a "breathing" pyrochlore lattice. We introduce a parameter, the breathing
factor Bf, which quantifies the degree of frustration in the pyrochlore
lattice: Bf is defined as J'/J, where J' and J are nearest-neighbor magnetic
interactions in the large and small tetrahedra, respectively. LiGaCr4O8 with Bf
~ 0.6 shows magnetic susceptibility similar to that of conventional Cr spinel
oxides such as ZnCr2O4. In contrast, LiInCr4O8 with a small Bf ~ 0.1 exhibits a
spin-gap behavior in its magnetic susceptibility, suggesting a proximity to an
exotic singlet ground state. Magnetic long-range order occurs at 13.8 and 15.9
K for LiGaCr4O8 and LiInCr4O8, respectively, in both cases likely owing to the
coupling to structural distortions.


title: Formation of the frozen core in critical Boolean Networks

abstract:
  We investigate numerically and analytically the formation of the frozen core
in critical random Boolean networks with biased functions. We demonstrate that
a previously used efficient algorithm for obtaining the frozen core, which
starts from the nodes with constant functions, fails when the number of inputs
per node exceeds 4. We present computer simulation data for the process of
formation of the frozen core and its robustness, and we show that several
important features of the data can be derived by using a mean-field
calculation.


title:
Robust Uplink Communications over Fading Channels with Variable Backhaul
  Connectivity

abstract:
  Two mobile users communicate with a central decoder via two base stations.
Communication between the mobile users and the base stations takes place over a
Gaussian interference channel with constant channel gains or quasi-static
fading. Instead, the base stations are connected to the central decoder through
orthogonal finite-capacity links, whose connectivity is subject to random
fluctuations. There is only receive-side channel state information, and hence
the mobile users are unaware of the channel state and of the backhaul
connectivity state, while the base stations know the fading coefficients but
are uncertain about the backhaul links' state. The base stations are oblivious
to the mobile users' codebooks and employ compress-and-forward to relay
information to the central decoder. Upper and lower bounds are derived on
average achievable throughput with respect to the prior distribution of the
fading coefficients and of the backhaul links' states. The lower bounds are
obtained by proposing strategies that combine the broadcast coding approach and
layered distributed compression techniques. The upper bound is obtained by
assuming that all the nodes know the channel state. Numerical results confirm
the advantages of the proposed approach with respect to conventional non-robust
strategies in both scenarios with and without fading.


title:
Multi-Step Regression Learning for Compositional Distributional
  Semantics

abstract:
  We present a model for compositional distributional semantics related to the
framework of Coecke et al. (2010), and emulating formal semantics by
representing functions as tensors and arguments as vectors. We introduce a new
learning method for tensors, generalising the approach of Baroni and Zamparelli
(2010). We evaluate it on two benchmark data sets, and find it to outperform
existing leading methods. We argue in our analysis that the nature of this
learning method also renders it suitable for solving more subtle problems
compositional distributional models might face.


title: Helioseismology with PICARD

abstract:
  PICARD is a CNES micro-satellite launched in June 2010 (Thuillier at al.
2006). Its main goal is to measure the solar shape, total and spectral
irradiance during the ascending phase of the activity cycle. The SODISM
telescope onboard PICARD also allows us to conduct a program for
helioseismology in intensity at 535.7 nm (Corbard et al. 2008). One-minute
cadence low-resolution full images are available for a so-called medium-$l$
program, and high-resolution images of the limb recorded every 2 minutes are
used to study mode amplification near the limb in the perspective of g-mode
search. First analyses and results from these two programs are presented here.


title:
Spectral properties of a sample of type 1 AGNs: influence of star
  formation

abstract:
  To find the spectral properties of AGNs in optical spectral band (around the
Hb line) we constructed an Fe II template, that is covering Fe II emission from
4100 A to 5600 A. Using the new Fe II template we explored spectral properties
of 302 type 1 AGNs. The most interesting results we found is the correlation of
the Hb Full Width at Half Maximum (FWHM) and luminosity for a subsample of type
1 AGNs where the ratio of narrow lines indicates a significant starburst
contribution.


title: The LUX Dark Matter Search -- Status Update

abstract:
  We report on the design, construction and commissioning of the Large
Underground Xenon (LUX) dark matter detector at the Sanford Laboratory in Lead,
SD, USA. From its inception in 2007, to its construction at a surface
laboratory in lead in 2009-2010, its operation in 2011, and its re-installation
1 mile underground in 2012, we review the relevant achievements already
obtained and give an outlook on how LUX will become the most sensitive detector
in the field in 2013.


title:
Asteroids' physical models from combined dense and sparse photometry and
  scaling of the YORP effect by the observed obliquity distribution

abstract:
  The larger number of models of asteroid shapes and their rotational states
derived by the lightcurve inversion give us better insight into both the nature
of individual objects and the whole asteroid population. With a larger
statistical sample we can study the physical properties of asteroid
populations, such as main-belt asteroids or individual asteroid families, in
more detail. Shape models can also be used in combination with other types of
observational data (IR, adaptive optics images, stellar occultations), e.g., to
determine sizes and thermal properties. We use all available photometric data
of asteroids to derive their physical models by the lightcurve inversion method
and compare the observed pole latitude distributions of all asteroids with
known convex shape models with the simulated pole latitude distributions. We
used classical dense photometric lightcurves from several sources and
sparse-in-time photometry from the U.S. Naval Observatory in Flagstaff,
Catalina Sky Survey, and La Palma surveys (IAU codes 689, 703, 950) in the
lightcurve inversion method to determine asteroid convex models and their
rotational states. We also extended a simple dynamical model for the spin
evolution of asteroids used in our previous paper. We present 119 new asteroid
models derived from combined dense and sparse-in-time photometry. We discuss
the reliability of asteroid shape models derived only from Catalina Sky Survey
data (IAU code 703) and present 20 such models. By using different values for a
scaling parameter cYORP (corresponds to the magnitude of the YORP momentum) in
the dynamical model for the spin evolution and by comparing synthetics and
observed pole-latitude distributions, we were able to constrain the typical
values of the cYORP parameter as between 0.05 and 0.6.


title:
On the Consistency of the Bootstrap Approach for Support Vector Machines
  and Related Kernel Based Methods

abstract:
  It is shown that bootstrap approximations of support vector machines (SVMs)
based on a general convex and smooth loss function and on a general kernel are
consistent. This result is useful to approximate the unknown finite sample
distribution of SVMs by the bootstrap approach.


title:
Assessing the Constrained Harmonic Mean Method for Deriving the
  Kinematics of ICMEs with a Numerical Simulation

abstract:
  In this study we use a numerical simulation of an artificial coronal mass
ejection (CME) to validate a method for calculating propagation directions and
kinematical profiles of interplanetary CMEs (ICMEs). In this method
observations from heliospheric images are constrained with in-situ plasma and
field data at 1 AU. These data are used to convert measured ICME elongations
into distance by applying the Harmonic Mean approach that assumes a spherical
shape of the ICME front. We use synthetic white-light images, similar as
observed by STEREO-A/HI, for three different separation angles between remote
and in-situ spacecraft, of 30{\deg}, 60{\deg}, and 90{\deg}. To validate the
results of the method they are compared to the apex speed profile of the
modeled ICME, as obtained from a top view. This profile reflects the "true"
apex kinematics since it is not affected by scattering or projection effects.
In this way it is possible to determine the accuracy of the method for
revealing ICME propagation directions and kinematics. We found that the
direction obtained by the constrained Harmonic Mean method is not very
sensitive to the separation angle (30{\deg} sep: \phi = W7; 60{\deg} sep: \phi
= W12; 90{\deg} sep: \phi = W15; true dir.: E0/W0). For all three cases the
derived kinematics are in a relatively good agreement with the real kinematics.
The best consistency is obtained for the 30{\deg} case, while with growing
separation angle the ICME speed at 1 AU is increasingly overestimated (30{\deg}
sep: \Delta V_arr ~-50 km/s, 60{\deg} sep: \Delta V_arr ~+75 km/s, 90{\deg}
sep: \Delta V_arr ~+125 km/s). Especially for future L4/L5 missions the
60{\deg} separation case is highly interesting in order to improve space
weather forecasts.


title: MFLP: Most Frequent Least Power Encoding

abstract:
  This paper has been withdrawn by the authors. In this paper, we propose a new
low power coding technique by decreasing the number of switching activities on
the buses which use transition signaling to transmit data. This approach
dedicates the symbols with less ones to high probability data. MFLP unlike the
most low power encoding does not rely on spatial redundancy. Due to this
superiority, MFLP is unique in power decreasing in the Network on Chip (NoC).
Not only does this algorithm reduce the power consumption, but also it can
compress the data. It offers a tradeoff to designers to choose between
compression and power; that is, the more power consumption decrease we need,
the less compression we earn. This coding uses tree based infrastructure in
order to decrease the number of ones to reduce the switching activities, and
the power consumption consequently. The proposed algorithm constructs the tree
with this contribution that code words with less ones are allocated to more
frequent data. The experimental results for the outside and inside of the NoC
indicate that the proposed coding algorithm reduces the switching activity up
to 30 and 45%, the link power consumption up to 35 and 46% and the total power
dissipation up to 34.9 and 16% for the outside and inside of the NoC,
respectively.


title:
Calculation of parity non-conserving optical rotation in iodine at 1315
  nm

abstract:
  We examine the feasibility of a parity non-conserving (PNC) optical rotation
experiment for the $^2$P$_{3/2}\rightarrow ^2$P$_{1/2}$ transition of atomic
iodine at 1315 nm. The calculated $E1_{\rm PNC}$ to $M1$ amplitude ratio is
$R=0.80(16)\times 10^{-8}$. We show that very large PNC rotations (greater than
10 $\mu$rad) are obtained for iodine-atom column densities of $\sim 10^{22}$
cm$^{-2}$, which can be produced by increasing the effective interaction
pathlength by a factor of $\sim 10^4$ with a high-finesse optical cavity. The
simulated signals indicate that measurement of the nuclear anapole moment is
feasible, and that a 1% PNC precision measurement should resolve the
inconsistency between previous measurements in Cs and Tl.


title:
Comment on "Lyapunov statistics and mixing rates for intermittent
  systems"

abstract:
  In Pires {\it et al.} [Phys. Rev. E 84, 066210 (2011)] intermittent maps are
considered, and the tight relationship between correlation decay of smooth
observables and large deviations estimates, as for instance employed in Artuso
and Manchein [Phys. Rev. E 80, 036210 (2009)], is questioned. We try to clarify
the problem, and provide rigorous arguments and an analytic estimate that
disprove the objections raised in Pires {\it et al.} [Phys. Rev. E 84, 066210
(2011)] when ergodic systems are considered.


title:
Nucleon-Nucleon Chiral Two Pion Exchange potential vs Coarse grained
  interactions

abstract:
  We analyse the interplay between nucleon-nucleon potentials deduced from
chiral perturbation theory and a coarse grained representation of the short
distance interactions by delta-shells potentials below a certain cut-off
distance. While we find that the number of parameters is greatly reduced when
Chiral Two Pion Exchange contributions are included we also observe that
discerning the necessity of improvements on the interaction requires a detailed
analysis of all error sources. Our points are best illustrated by computing
deuteron static properties as well as electromagnetic form factors after error
propagation.


title: Matter in Horava-Lifshitz gravity

abstract:
  We consider the role of matter in the non-projectable version of
Horava-Liftshitz gravity at both a classical and a quantum level. At the
classical level, we construct general forms of matter Lagrangians consistent
with the reduced symmetry group and demonstrate that they must be reduced to
their relativistic form if they are to avoid sourcing the gravitational
Stuckelberg field. At the quantum level we consider one loop corrections to the
propagator for a relativistic scalar minimally coupled to gravity at tree
level. We find large corrections to the light cone at low energies arising from
the strength of the coupling of the scalar graviton to matter. We also find
evidence that higher order time derivatives may be generated, which is worrying
if this is to be taken seriously as a UV complete theory.


title:
Creation and dynamics of remote spin-entangled pairs in the expansion of
  strongly correlated fermions in an optical lattice

abstract:
  We consider the nonequilibrium dynamics of an interacting spin-1/2 fermion
gas in a one-dimensional optical lattice after switching off the confining
potential. In particular, we study the creation and the time evolution of
spatially separated, spin-entangled fermionic pairs. The time-dependent
density-matrix renormalization group is used to simulate the time evolution and
evaluate the two-site spin correlation functions, from which the concurrence is
calculated. We find that the typical distance between entangled fermions
depends crucially on the onsite interaction strength, and that a time-dependent
modulation of the tunneling amplitude can enhance the production of
spin-entanglement. Moreover, we discuss the prospects of experimentally
observing these phenomena using spin-dependent single-site detection.


title: PyXNAT: XNAT in Python

abstract:
  As neuroimaging databases grow in size and complexity, the time researchers
spend investigating and managing the data increases to the expense of data
analysis. As a result, investigators rely more and more heavily on scripting
using high-level languages to automate data management and processing tasks.
For this, a structured and programmatic access to the data store is necessary.
Web services are a first step toward this goal. They however lack in
functionality and ease of use because they provide only low level interfaces to
databases. We introduce here PyXNAT, a Python module that interacts with The
Extensible Neuroimaging Archive Toolkit (XNAT) through native Python calls
across multiple operating systems. The choice of Python enables PyXNAT to
expose the XNAT Web Services and unify their features with a higher level and
more expressive language. PyXNAT provides XNAT users direct access to all the
scientific packages in Python. Finally PyXNAT aims to be efficient and easy to
use, both as a backend library to build XNAT clients and as an alternative
frontend from the command line.


title: Chiral Perturbation Theory and Mesons

abstract:
  The talk contains a short introduction to mesonic Chiral Perturbation Theory
(ChPT). In addition four disparate areas where some progress has been made in
recent years are discussed. These are the last fit of the order $p^4$
low-energy-constants $L_i^r$ to data, hard pion ChPT, the recent two-loop work
on EFT for QCD like theories and the high order leading logarithm calculations
in the massive $O(N)$ nonlinear sigma model.


title: On the Geometry and Topology of Transformation Optics

abstract:
  We generalize the geometrical model of transformation optics to Rieman-Cartan
space with torsion by introducing topological defects in physical space. By
relaxing the integrable condition, we show explicitly that the generalized
equivalent medium are bi-anisotropic where the magnetoelectric coupling
parameters emergent as the dislocation density. We also show the generation of
orbital angular momentum of light. Our theory may open intriguing venues for
controlling the vectorial degree of freedom of light with metamaterials.


title: Neutron-rich nuclei and the equation of state of stellar matter

abstract:
  In this contribution we will review our present understanding of the matter
equation of state in the density and temperature conditions where it can be
described by nucleonic degrees of freedom. At zero temperature, all the
information is contained in the nuclear energy functional in its isoscalar and
isovector channels. At finite temperature, particular emphasis will be given to
the specificity of the thermodynamics in the nucleonic regime, with the
simultaneous presence of long range electromagnetic and short range nuclear
interactions. The astrophysical implications of the resulting phase diagram, as
well as of different observables of exotic nuclei on the neutron-rich side,
will be touched upon.


title: The Capacity of Wireless Channels: A Physical Approach

abstract:
  In this paper, the capacity of wireless channels is characterized based on
electromagnetic and antenna theories with only minimal assumptions. We assume
the transmitter can generate an arbitrary current distribution inside a
spherical region and the receive antennas are uniformly distributed on a bigger
sphere surrounding the transmitter. The capacity is shown to be $(\alpha P/N_0)
\log e$ [bits/sec] in the limit of large number of receive antennas, where $P$
is the transmit power constraint, $\alpha$ is the normalized density of the
receive antennas and $N_0$ is the noise power spectral density. Although this
result may look trivial, it is surprising in two ways. First, this result holds
regardless of the bandwidth (bandwidth can even be negligibly small). Second,
this result shows that the capacity is irrespective of the size of the region
containing the transmitter. This is against some previous results that claimed
the maximum degrees of freedom is proportional to the surface area containing
the transmitter normalized by the square of the wavelength. Our result has
important practical implications since it shows that even a compact antenna
array with negligible bandwidth and antenna spacing well below the wavelength
can provide a huge throughput as if the array was big enough so that the
antenna spacing is on the order of the wavelength.


title:
Ultrafast ultrasonic imaging coupled to rheometry: principle and
  illustration

abstract:
  We describe a technique coupling standard rheology and ultrasonic imaging
with promising applications to characterization of soft materials under shear.
Plane wave imaging using an ultrafast scanner allows to follow the local
dynamics of fluids sheared between two concentric cylinders with frame rates as
high as 10,000 images per second, while simultaneously monitoring the shear
rate, shear stress, and viscosity as a function of time. The capacities of this
"rheo-ultrasound" instrument are illustrated on two examples: (i) the classical
case of the Taylor-Couette instability in a simple viscous fluid and (ii) the
unstable shear-banded flow of a non-Newtonian wormlike micellar solution.


title: Virtual water controlled demographic growth of nations

abstract:
  Population growth is in general constrained by food production, which in turn
depends on the access to water resources. At a country level, some populations
use more water than they control because of their ability to import food and
the virtual water required for its production. Here, we investigate the
dependence of demographic growth on available water resources for exporting and
importing nations. By quantifying the carrying capacity of nations based on
calculations of the virtual water available through the food trade network, we
point to the existence of a global water unbalance. We suggest that current
export rates will not be maintained and consequently we question the long-run
sustainability of the food trade system as a whole. Water rich regions are
likely to soon reduce the amount of virtual water they export, thus leaving
import-dependent regions without enough water to sustain their populations. We
also investigate the potential impact of possible scenarios that might mitigate
these effects through (1) cooperative interactions among nations whereby water
rich countries maintain a tiny fraction of their food production available for
export; (2) changes in consumption patterns; and (3) a positive feedback
between demographic growth and technological innovations. We find that these
strategies may indeed reduce the vulnerability of water-controlled societies.


title: Primordial triples and collisions of massive stars

abstract:
  Massive stars are known to have a high multiplicity, with examples of higher
order multiples among the nearest and best studied objects. In this paper we
study hierarchical multiple systems (an inner binary as a component of a wider
binary) of massive stars in a clustered environment, in which a system with a
size of 100--1000 au will undergo many close encounters during the short
lifetime of a massive star. Using two types of N-body experiment we determine
the post-formation collision probabilities of these massive hierarchies. We
find that, depending on the specifics of the environment, the hierarchy, and
the amount of time that is allowed to pass, tens of percent of hierarchies will
experience a collision, typically between the two stars of the inner binary. In
addition to collisions, clusters hosting a hierarchical massive system produce
high velocity runaways at an enhanced rate. The primordial multiplicity
specifics of massive stars appear to play a key role in the generation of these
relatively small number events in cluster simulations, complicating their use
as diagnostics of a cluster's history.


title:
Perspective: Advances and challenges in treating van der Waals
  dispersion forces in density functional theory

abstract:
  Electron dispersion forces play a crucial role in determining the structure
and properties of biomolecules, molecular crystals and many other systems.
However, an accurate description of dispersion is highly challenging, with the
most widely used electronic structure technique, density functional theory
(DFT), failing to describe them with standard approximations. Therefore,
applications of DFT to systems where dispersion is important have traditionally
been of questionable accuracy. However, the last decade has seen a surge of
enthusiasm in the DFT community to tackle this problem and in so-doing to
extend the applicability of DFT-based methods. Here we discuss, classify, and
evaluate some of the promising schemes to emerge in recent years. A brief
perspective on the outstanding issues that remain to be resolved and some
directions for future research are also provided.


title: Thurston's cataclysms for Anosov representations

abstract:
  Given an Anosov representation $\rho \colon \pi_1(S) \to
\PSL_{n}(\mathbb{R})$ and a maximal geodesic lamination $\lambda$ in a surface
$S$, we construct shear deformations along the leaves of the geodesic
lamination $\lambda$ endowed with a certain flag decoration, that is provided
by the associated flag curve $\mathcal{F}_\rho\colon \Sinf \to
\mathrm{Flag}(\mathbb{R}^n)$ of the Anosov representation $\rho$; these
deformations generalize to Labourie's Anosov representations Thurston's
cataclysms for hyperbolic structures on surfaces. A cataclysm is parametrized
by a transverse $n$--twisted cocycle for the orientation cover $\La$ of
$\lambda$. In addition, we establish various geometric properties for these
deformations. Among others, we prove a variation formula for the associated
length functions $\ell^i_\rho$ of the Anosov representation $\rho$.


title: Neutral-cluster implantation in polymers by computer experiments

abstract:
  In this work we perform atomistic model potential molecular dynamics
simulations by means of state-of-the art force-fields to study the implantation
of a single Au nanocluster on a Polydimethylsiloxane substrate. All the
simulations have ben performed on realistic substrate models containing up to
4.6 millions of atoms having depths up to 90 nm and lateral dimensions up to 25
nm. We consider both entangled-melt and cross-linked Polydimethylsiloxane
amorphous structures. We show that even a single cluster impact on the
Polydimethylsiloxane substrate remarkably changes the polymer local temperature
and pressure. Moreover we observe the presence of craters created on the
polymer surface having lateral dimensions comparable to the cluster radius and
depths strongly dependent on the implantation energy. Present simulations
suggest that the substrate morphology is largely affected by the cluster impact
and that most-likely such modifications favor the the penetration of the next
impinging clusters.


title: An asymmetric primitive based on the Bivariate Function Hard Problem

abstract:
  The Bivariate Function Hard Problem (BFHP) has been in existence implicitly
in almost all number theoretic based cryptosystems. This work defines the BFHP
in a more general setting and produces an efficient asymmetric cryptosystem.
The cryptosystem has a complexity order of O(n^2) for both encryption and
decryption.


title:
Continuum random sequential adsorption of polymer on a flat and
  homogeneous surface

abstract:
  Random sequential adsorption (RSA) of polymer, modeled as a chain of
identical spheres, is systematically studied. In order to control precisely
anisotropy and number of degrees of freedom, two different kinds of polymers
are used. In the first one, monomers are placed along a straight line, whereas
in the second, relative orientations of particles are random. Such polymers
fill a flat homogeneous surface randomly. The paper focuses on maximal random
coverage ratio and adsorption kinetics dependence on polymer size, shape
anisotropy, and numbers of degrees of freedom. Obtained results were discussed
and compared with other numerical experiments and theoretical predictions.


title:
Observation of the prior earthquake effect on the flux of environmental
  neutrons, gamma-radiation, and on the local electric field in Tien Shan
  mountain

abstract:
  A search for the possible precursors of an earthquake and its effect on the
data series of diverse geophysical parameters has been made in the mountain of
Northern Tien Shan. The complex installation included the NM64 type neutron
supermonitor, detectors of the environmental low-energy neutrons, the
scintillation gamma-detector, the sensor of the local electric field, a
seismograph, and a weather-station. The specialized data filtration methodic
was elaborated with an enhanced sensitivity to the transient signals of seismic
origin. On the eve of, and after a 5.4 magnitude earthquake the fine features
in temporal behavior of the intensity of low-energy neutron and gamma-radiation
background, so as irregularities of the local electric field were observed
which seem to be in a close correlation with each other. These results may be
an evidence of the possibility of experimental identification of earthquake's
precursors in the time up to 2-3 days before the beginning of a period of
intensive tectonic activity.


title:
XMM-Newton monitoring of the close pre-main-sequence binary AK Sco.
  Evidence of tide driven filling of the inner gap in the circumbinary disk

abstract:
  AK~Sco stands out among pre-main sequence binaries because of its prominent
ultraviolet excess, the high eccentricity of its orbit and the strong tides
driven by it. AK Sco consists of two F5 type stars that get as close as 11R$_*$
at periastron passage. The presence of a dense
  ($n_e \sim 10^{11}$~cm$^{-3}$) extended envelope has been unveiled recently.
In this article, we report the results from a XMM-Newton based monitoring of
the system. We show that at periastron, X-ray and UV fluxes are enhanced
  by a factor of $\sim 3$ with respect to the apastron values. The X-ray
radiation is produced in an optically thin plasma with T$\sim 6.4\times 10^{6}$
K and it is found that the N$_H$ column density rises from 0.35$\times
10^{21}$~cm$^{-2}$ at periastron to 1.11$\times 10^{21}$~cm$^{-2}$ at apastron,
in good agreement with previous polarimetric observations. The UV emission
detected in the Optical Monitor band seems to be caused by the reprocessing of
the high energy magnetospheric radiation on the circumstellar material.
  Further evidence of the strong magnetospheric disturbances is provided by the
detection of line broadening of 278.7~km~s$^{-1}$ in the N~V line with
HST/STIS.
  Numerical simulations of the mass flow from the circumbinary disk to the
components have been carried out. They provide a consistent scenario with which
to interpret AK~Sco observations. We show that the eccentric orbit acts like a
gravitational piston. At apastron, matter is dragged efficiently from the inner
disk border, filling the inner gap and producing accretion streams that end as
ring-like structures around each component of the system. At periastron, the
ring-like structures come into contact, leading to angular momentum loss, and
thus producing an accretion outburst.


title: Percolation thresholds on planar Euclidean relative neighborhood graphs

abstract:
  In the presented article, statistical properties regarding the topology and
standard percolation on relative neighborhood graphs (RNGs) for planar sets of
points, considering the Euclidean metric, are put under scrutiny. RNGs belong
to the family of ``proximity graphs'', i.e. their edge-set encodes proximity
information regarding the close neighbors for the terminal nodes of a given
edge. Therefore they are, e.g., discussed in the context of the construction of
backbones for wireless ad-hoc networks that guarantee connectedness of all
underlying nodes.
  Here, by means of numerical simulations, we determine the asymptotic degree
and diameter of RNGs and we estimate their bond and site percolation
thresholds, which were previously conjectured to be nontrivial. We compare the
results to regular 2D graphs for which the degree is close to that of the RNG.
Finally, we deduce the common percolation critical exponents from the RNG data
to verify that the associated universality class is that of standard 2D
percolation.


title:
MMP for moduli of sheaves on K3s via wall-crossing: nef and movable
  cones, Lagrangian fibrations

abstract:
  We use wall-crossing with respect to Bridgeland stability conditions to
systematically study the birational geometry of a moduli space M of stable
sheaves on a K3 surface X:
  1. We describe the nef cone, the movable cone, and the effective cone of M in
terms of the Mukai lattice of X.
  2. We establish a long-standing conjecture that predicts the existence of a
birational Lagrangian fibration on M whenever M admits an integral divisor
class D of square zero (with respect to the Beauville-Bogomolov form).
  These results are proved using a natural map from the space of Bridgeland
stability conditions Stab(X) to the cone Mov(X) of movable divisors on M; this
map relates wall-crossing in Stab(X) to birational transformations of M. In
particular, every minimal model of M appears as a moduli space of
Bridgeland-stable objects on X.


title: Quantum control in foundational experiments

abstract:
  We describe a new class of experiments designed to probe the foundations of
quantum mechanics. Using quantum controlling devices, we show how to attain a
freedom in temporal ordering of the control and detection of various phenomena.
We consider wave-particle duality in the context of quantum-controlled and the
entanglement-assisted delayed-choice experiments. Then we discuss a
quantum-controlled CHSH experiment and measurement of photon's transversal
position and momentum in a single set-up.


title:
Non-classicality of the molecular vibrations assisting exciton energy
  transfer at room temperature

abstract:
  Advancing the debate on quantum effects in light-initiated reactions in
biology requires clear identification of non-classical features that these
processes can exhibit and utilise. Here we show that in prototype dimers
present in a variety of photosynthetic antennae, efficient vibration-assisted
energy transfer in the subpicosecond timescale and at room temperature can
manifest and benefit from non-classical fluctuations of collective pigment
motions. Non-classicality of initially thermalised vibrations is induced via
coherent exciton-vibration interactions and is unambiguously indicated by
negativities in the phase-space quasi-probability distribution of the effective
collective mode coupled to the electronic dynamics. These quantum effects can
be prompted upon incoherent input of excitation. Our results therefore suggest
that investigation of the non-classical properties of vibrational motions
assisting excitation and charge transport, photoreception and chemical sensing
processes could be a touchstone for revealing a role for non-trivial quantum
phenomena in biology.


title:
Gauge theory of Lorentz group as a source of the dynamical electroweak
  symmetry breaking

abstract:
  We consider the gauge theory of Lorentz group coupled in a nonminimal way to
fermions. We suggest the hypothesis that the given theory may exist in the
phase with broken chiral symmetry and without confinement. The lattice
discretization of the model is described. This unusual strongly coupled theory
may appear to be the source of the dynamical electroweak symmetry breaking.
Namely, in this theory all existing fermions interact with the SO(3,1) gauge
field. In the absence of the other interactions the chiral condensate may
appear and all fermionic excitations may acquire equal masses. Small
corrections to the gap equations due to the other interactions may cause the
appearance of the observed hierarchy of masses.


title:
Using evolutionary computation to create vectorial Boolean functions
  with low differential uniformity and high nonlinearity

abstract:
  The two most important criteria for vectorial Boolean functions used as
S-boxes in block ciphers are differential uniformity and nonlinearity. Previous
work in this field has focused only on nonlinearity and a different criterion,
autocorrelation. In this paper, we describe the results of experiments in using
simulated annealing, memetic algorithms, and ant colony optimisation to create
vectorial Boolean functions with low differential uniformity.
  Keywords: Metaheuristics, simulated annealing, memetic algorithms, ant colony
optimization, cryptography, Boolean functions, vectorial Boolean functions.


title:
Dispersive representation of the pion vector form factor in
  $\tau\to\pi\pi\nu_\tau$ decays

abstract:
  We propose a dispersive representation of the charged pion vector form factor
that is consistent with chiral symmetry and fulfills the constraints imposed by
analyticity and unitarity. Unknown parameters are fitted to the very precise
data on $\tau^-\to\pi^-\pi^0\nu_\tau$ decays obtained by Belle, leading to a
good description of the corresponding spectral function up to a $\pi\pi$
squared invariant mass $s\simeq 1.5$ GeV$^2$. We discuss the effect of isospin
corrections, and obtain the values of low energy observables. For larger values
of $s$, this representation is complemented with a phenomenological description
to allow its implementation in the new TAUOLA hadronic currents.


title:
The End of an Era - The Population III to Population II Transition and
  the Near Infrared Background

abstract:
  There are only a few ways to constrain the Era of Reionization and the
properties of high redshift (z>6) stars through observations. Here, we discuss
one of these observables - the spectrum of the Near Infrared Background - and
how it is potentially affected by the transition from Population III to
Population II stars. The stronger Lyman-alpha emission expected from massive
Population III stars could result in a 'bump' in the spectrum of the Near
Infrared Background (referred to in this work as the Lyman-alpha bump). The
strength and shape of this bump can reveal properties of Population III stars.
The Lyman-alpha bump is predicted to be higher if Population III stars are more
massive and present at lower redshifts. The shape of the bump is governed by
the star formation rate and the time it takes Population III stars to
transition to Population II stars. If Population III stars are indeed massive,
a bump is predicted as long as Population III stars exist at z < 15, even if
their star formation rate is as low as 10^-7 M_sun yr^-1 Mpc^-3. This means
that there may be some observational signature in the Near Infrared Background
of small pockets of metal-free gas forming Population III stars at z ~ 6, even
if they are quite rare.


title: Quantifying Morphological Computation

abstract:
  The field of embodied intelligence emphasises the importance of the
morphology and environment with respect to the behaviour of a cognitive system.
The contribution of the morphology to the behaviour, commonly known as
morphological computation, is well-recognised in this community. We believe
that the field would benefit from a formalisation of this concept as we would
like to ask how much the morphology and the environment contribute to an
embodied agent's behaviour, or how an embodied agent can maximise the
exploitation of its morphology within its environment. In this work we derive
two concepts of measuring morphological computation, and we discuss their
relation to the Information Bottleneck Method. The first concepts asks how much
the world contributes to the overall behaviour and the second concept asks how
much the agent's action contributes to a behaviour. Various measures are
derived from the concepts and validated in two experiments which highlight
their strengths and weaknesses.


title: New Physics and Single Top Production

abstract:
  We show how single top production in conjunction with a variety of additional
final states provides a sensitive probe of new physics. We investigate several
new physics scenarios such as lepto-phobic W' model, and exotic B' model, and
then perform detailed simulation analyses in s-, and tW-associated production
channels.


title: On the finitely generated Hausdorff spectrum of spinal groups

abstract:
  We study the finitely generated Hausdorff spectrum of spinal automorphism
groups acting on rooted trees. Given any $\alpha \in [0,1]$, we construct a
branch group $G_\alpha$ such that $G_\alpha$ has a finitely generated subgroup
$H$ where $H$ has Hausdorff dimension $\alpha$ in $G$. Using results by Barnea,
Shalev and Klopsch we further deduce that the finitely generated Hausdorff
spectrum of this group $G_\alpha$ contains $\mathcal{L}_\alpha \cup ([0, 1]
\cap \mathcal{L})$, where $\mathcal{L}$ is a countable subset of $\mathbb{Q}$
and $\mathcal{L}_\alpha$ is a certain set of countably many irrational numbers
in the interval $[0,\alpha]$. This answers a question of Benjamin Klopsch.


title: Simulation of the CMS Resistive Plate Chambers

abstract:
  The Resistive Plate Chamber (RPC) muon subsystem contributes significantly to
the formation of the trigger decision and reconstruction of the muon trajectory
parameters. Simulation of the RPC response is a crucial part of the entire CMS
Monte Carlo software and directly influences the final physical results. An
algorithm based on the parametrization of RPC efficiency, noise, cluster size
and timing for every strip has been developed. Experimental data obtained from
cosmic and proton-proton collisions at $\sqrt{s}=7$ TeV have been used for
determination of the parameters. A dedicated validation procedure has been
developed. A good agreement between the simulated and experimental data has
been achieved.


title:
Action of special linear groups to the tensor of indeterminates,
  classical invariants of binary forms and hyperdeterminant

abstract:
  In this paper, we study the ring of invariants under the action of
SL(m,K)\times SL(n,K) and SL(m,K)\times SL(n,K)\times SL(2,K) on the
3-dimensional array of indeterminates of form m\times n\times 2, where K is an
infinite field. And we show that if m=n\geq 2, then the ring of SL(n,K)\times
SL(n,K)-invariants is generated by n+1 algebraically independent elements over
K and the action of SL(2,K) on that ring is identical with the one defined in
the classical invariant theory of binary forms. We also reveal the ring of
SL(m,K)\times SL(n,K)-invariants and SL(m,K)\times SL(n,K)\times
SL(2,K)-invariants completely in the case where m\neq n.


title:
Spectrum Sharing Scheme Between Cellular Users and Ad-hoc
  Device-to-Device Users

abstract:
  In an attempt to utilize spectrum resources more efficiently, protocols
sharing licensed spectrum with unlicensed users are receiving increased
attention. From the perspective of cellular networks, spectrum underutilization
makes spatial reuse a feasible complement to existing standards. Interference
management is a major component in designing these schemes as it is critical
that licensed users maintain their expected quality of service. We develop a
distributed dynamic spectrum protocol in which ad-hoc device-to-device users
opportunistically access the spectrum actively in use by cellular users.
  First, channel gain estimates are used to set feasible transmit powers for
device-to-device users that keeps the interference they cause within the
allowed interference temperature. Then network information is distributed by
route discovery packets in a random access manner to help establish either a
single-hop or multi-hop route between two device-to-device users. We show that
network information in the discovery packet can decrease the failure rate of
the route discovery and reduce the number of necessary transmissions to find a
route. Using the found route, we show that two device-to-device users can
communicate with a low probability of outage while only minimally affecting the
cellular network, and can achieve significant power savings when communicating
directly with each other instead of utilizing the cellular base station.


title: Stability of jammed packings I: the rigidity length scale

abstract:
  In 2005, Wyart et al. (Europhys. Lett., 72 (2005) 486) showed that the low
frequency vibrational properties of jammed amorphous sphere packings can be
understood in terms of a length scale, called l*, that diverges as the system
becomes marginally unstable. Despite the tremendous success of this theory, it
has been difficult to connect the counting argument that defines l* to other
length scales that diverge near the jamming transition. We present an alternate
derivation of l* based on the onset of rigidity. This phenomenological approach
reveals the physical mechanism underlying the length scale and is relevant to a
range of systems for which the original argument breaks down. It also allows us
to present the first direct numerical measurement of l*.


title: Stability of jammed packings II: the transverse length scale

abstract:
  As a function of packing fraction at zero temperature and applied stress, an
amorphous packing of spheres exhibits a jamming transition where the system is
sensitive to boundary conditions even in the thermodynamic limit. Upon further
compression, the system should become insensitive to boundary conditions
provided it is sufficiently large. Here we explore the linear response to a
large class of boundary perturbations in 2 and 3 dimensions. We consider each
finite packing with periodic-boundary conditions as the basis of an infinite
square or cubic lattice and study properties of vibrational modes at arbitrary
wave vector. We find that the stability of such modes be understood in terms of
a competition between plane waves and the anomalous vibrational modes
associated with the jamming transition; infinitesimal boundary perturbations
become irrelevant for systems that are larger than a length scale that
characterizes the transverse excitations. This previously identified length
diverges at the jamming transition.


title: Replication in critical graphs and the persistence of monomial ideals

abstract:
  Motivated by questions about square-free monomial ideals in polynomial rings,
in 2010 Francisco et al. conjectured that for every positive integer k and
every k-critical (i.e., critically k-chromatic) graph, there is a set of
vertices whose replication produces a (k+1)-critical graph. (The replication of
a set W of vertices of a graph is the operation that adds a copy of each vertex
w in W, one at a time, and connects it to w and all its neighbours.)
  We disprove the conjecture by providing an infinite family of
counterexamples. Furthermore, the smallest member of the family answers a
question of Herzog and Hibi concerning the depth functions of square-free
monomial ideals in polynomial rings, and a related question on the persistence
property of such ideals.


title: Initial data for perturbed Kerr black holes on hyperboloidal slices

abstract:
  We construct initial data corresponding to a single perturbed Kerr black hole
in vacuum. These data are defined on specific hyperboloidal ("ACMC-") slices on
which the mean extrinsic curvature K asymptotically approaches a constant at
future null infinity scri+. More precisely, we require that K obeys the Taylor
expansion K=K0 + s^4 where K0 is a constant and s describes a compactified
spatial coordinate such that scri+ is represented by s=0. We excise the
singular interior of the black hole and assume a marginally outer trapped
surface as inner boundary of the computational domain. The momentum and
Hamiltonian constraints are solved by means of pseudo-spectral methods and we
find exponential rates of convergence of our numerical solutions. Some physical
properties of the initial data are studied with the calculation of the Bondi
Mass, together with a multipole decomposition of the horizon. We probe the
standard picture of gravitational collapse by assessing a family of
Penrose-like inequalities and discuss in particular their rigidity aspects.
Dynamical evolutions are planned in a future project.


title: Status of the Design of the LBNE Neutrino Beamline

abstract:
  The Long Baseline Neutrino Experiment (LBNE) will utilize a neutrino beamline
facility located at Fermilab to carry out a compelling research program in
neutrino physics. The facility will aim a beam of neutrinos toward a detector
placed at the Homestake Mine in South Dakota, about 1300 km away. The neutrinos
are produced as follows: First, protons extracted from the MI-10 section of the
Main Injector (60-120 GeV) hit a solid target above grade and produce mesons.
Then, the charged mesons are focused by a set of focusing horns into a 250 m
long decay pipe, towards the far detector. Finally, the mesons that enter the
decay pipe decay into neutrinos. The parameters of the facility were determined
taking into account several factors including the physics goals, the modeling
of the facility, spacial and radiological constraints and the experience gained
by operating the NuMI facility at Fermilab. The initial beam power is expected
to be ~700 kW, however some of the parameters were chosen to be able to deal
with a beam power of 2.3 MW in order to enable the facility to run with an
upgraded accelerator complex. We discuss here the status of the design and the
associated challenges.


title:
Controlling interactions in supported bilayers from weak electrostatic
  repulsion to high osmotic pressure

abstract:
  Understanding interactions between membranes requires measurements on
well-controlled systems close to natural conditions, in which fluctuations play
an important role. We have determined, by grazing incidence X-ray scattering,
the interaction potential between two lipid bilayers, one adsorbed on a solid
surface and the other floating close by. We find that interactions in this
highly hydrated model system are two orders of magnitude softer than in
previously reported work on multilayer stacks. This is attributed to the weak
electrostatic repulsion due to the small fraction of ionized lipids in
supported bilayers with a lower number of defects. Our data are consistent with
the Poisson-Boltzmann theory, in the regime where repulsion is dominated by the
entropy of counter ions. We also have unique access to very weak entropic
repulsion potentials, which allowed us to discriminate between the various
models proposed in the literature. We further demonstrate that the interaction
potential between supported bilayers can be tuned at will by applying osmotic
pressure, providing a way to manipulate these model membranes, thus
considerably enlarging the range of biological or physical problems that can be
addressed.


title:
Measurement of the $\eta$ -$\eta'$ mixing angle in $\pi^{-}$ and $K^{-}$
  beams with GAMS-$4\pi$ Setup

abstract:
  The results of mixing angle measurement for $\eta'$, $\eta$ mesons generated
in charge exchange reactions with $\pi^{-}$ and $K^{-}$ beams are preseneted.
When the $\eta'$, $\eta$ mesons are described in nonstrange(NS)--strange(S)
quark basis the $\pi^{-}$ and $K^{-}$ beams allow to study $|\eta_{q}>$ and
$|\eta_{s}>$ parts of the meson wave function. The cross section ratio at
$t'=0$ (GeV/c)$^{2}$ in the $\pi^{-}$ beam is $R_{\pi}(\eta'/\eta)= 0.56 \pm
0.04$, results in mixing angle $\phi_{P} = (36.8 \pm 1.)^{o} $. For $K^{-}$
beam the ratio is $R_{K}(\eta'/\eta)= 1.30 \pm 0.16$. It was found that
gluonium content in $\eta'$ is $\sin^{2}\psi_{G}= 0.15 \pm 0.06$. The
experiment was carried out with GAMS-4$\pi$ Setup.


title: Composite mirror facets for ground based gamma ray astronomy

abstract:
  Composite mirrors for gamma-ray astronomy have been developed to fulfill the
specifications required for the next generation of Cherenkov telescopes
represented by CTA (Cherenkov Telescope Array). In addition to the basic
requirements on focus and reflection efficiency, the mirrors have to be stiff,
lightweight, durable and cost efficient. In this paper, the technology
developed to produce such mirrors is described, as well as some tests that have
been performed to validate them. It is shown that these mirrors comply with the
needs of CTA, making them good candidates for use on a significant part of the
array.


title:
Secondary Electron Yield Measurements of Fermilab's Main Injector Vacuum
  Vessel

abstract:
  We discuss the progress made on a new installation in Fermilab's Main
Injector that will help investigate the electron cloud phenomenon by making
direct measurements of the secondary electron yield (SEY) of samples irradiated
in the accelerator. In the Project X upgrade the Main Injector will have its
beam intensity increased by a factor of three compared to current operations.
This may result in the beam being subject to instabilities from the electron
cloud. Measured SEY values can be used to further constrain simulations and aid
our extrapolation to Project X intensities. The SEY test-stand, developed in
conjunction with Cornell and SLAC, is capable of measuring the SEY from samples
using an incident electron beam when the samples are biased at different
voltages. We present the design and manufacture of the test-stand and the
results of initial laboratory tests on samples prior to installation.


title: Anomalous transport in the crowded world of biological cells

abstract:
  A ubiquitous observation in cell biology is that diffusion of macromolecules
and organelles is anomalous, and a description simply based on the conventional
diffusion equation with diffusion constants measured in dilute solution fails.
This is commonly attributed to macromolecular crowding in the interior of cells
and in cellular membranes, summarising their densely packed and heterogeneous
structures. The most familiar phenomenon is a power-law increase of the MSD,
but there are other manifestations like strongly reduced and time-dependent
diffusion coefficients, persistent correlations, non-gaussian distributions of
the displacements, heterogeneous diffusion, and immobile particles. After a
general introduction to the statistical description of slow, anomalous
transport, we summarise some widely used theoretical models: gaussian models
like FBM and Langevin equations for visco-elastic media, the CTRW model, and
the Lorentz model describing obstructed transport in a heterogeneous
environment. Emphasis is put on the spatio-temporal properties of the transport
in terms of 2-point correlation functions, dynamic scaling behaviour, and how
the models are distinguished by their propagators even for identical MSDs.
Then, we review the theory underlying common experimental techniques in the
presence of anomalous transport: single-particle tracking, FCS, and FRAP. We
report on the large body of recent experimental evidence for anomalous
transport in crowded biological media: in cyto- and nucleoplasm as well as in
cellular membranes, complemented by in vitro experiments where model systems
mimic physiological crowding conditions. Finally, computer simulations play an
important role in testing the theoretical models and corroborating the
experimental findings. The review is completed by a synthesis of the
theoretical and experimental progress identifying open questions for future
investigation.


title: Isoptic curves of conic sections in constant curvature geometries

abstract:
  In this paper we consider the isoptic curves on the 2-dimensional geometries
of constant curvature $\bE^2,~\bH^2,~\cE^2$. The topic is widely investigated
in the Euclidean plane $\bE^2$ see for example \cite{CMM91} and \cite{Wi} and
the references given there, but in the hyperbolic and elliptic plane there are
few results in this topic (see \cite{CsSz1} and \cite{CsSz2}). In this paper we
give a review on the preliminary results of the isoptics of Euclidean and
hyperbolic curves and develop a procedure to study the isoptic curves in the
hyperbolic and elliptic plane geometries and apply it for some geometric
objects e.g. proper conic sections. We use for the computations the classical
models which are based on the projectiv interpretation of the hyperbolic and
elliptic geometry and in this manner the isoptic curves can be visualized on
the Euclidean screen of computer.


title:
Feedback Control of Nonlinear Dissipative Systems by Finite Determining
  Parameters - A Reaction-diffusion Paradigm

abstract:
  We introduce here a simple finite-dimensional feedback control scheme for
stabilizing solutions of infinite-dimensional dissipative evolution equations,
such as reaction-diffusion systems, the Navier-Stokes equations and the
Kuramoto-Sivashinsky equation. The designed feedback control scheme takes
advantage of the fact that such systems possess finite number of determining
parameters (degrees of freedom), namely, finite number of determining Fourier
modes, determining nodes, and determining interpolants and projections. In
particular, the feedback control scheme uses finitely many of such observables
and controllers. This observation is of a particular interest since it implies
that our approach has far more reaching applications, in particular, in data
assimilation. Moreover, we emphasize that our scheme treats all kinds of the
determining projections, as well as, the various dissipative equations with one
unified approach. However, for the sake of simplicity we demonstrate our
approach in this paper to a one-dimensional reaction-diffusion equation
paradigm.


title:
Single/Few Bunch Space Charge Effects at 8-GeV in the Fermilab Main
  Injector

abstract:
  For Project X, it is planned to inject a beam of 3x10**11 particles per bunch
into the Main Injector. Therefore, at 8-GeV, there will be increased space
charge tune shifts and an increased incoherent tune spread. In preparation for
these higher intensity bunches exploratory studies have commenced looking at
the transmission of different intensity bunches at different tunes. An
experiment is described with results for bunch intensities between 20 and 300
10**9 particles. To achieve the highest intensity bunches coalescing at 8-GeV
is required, resulting in a longer bunch length. Comparisons show that similar
transmission curves are obtained when the intensity and bunch length have
increased by factors of 3.2 and 3.4 respectively, indicating the incoherent
tune shifts are similar, as expected from theory. The results of these
experiments will be used in conjugation with simulations to further study high
intensity bunches in the Main Injector.


title: Holomorphic mappings into compact complex manifolds

abstract:
  The purpose of this article is to show a second main theorem with the
explicit truncation level for holomorphic mappings of $ \mathbb{C} $ (or of a
compact Riemann surface) into a compact complex manifold sharing divisors in
subgeneral position.


title:
Status and Plans for a Superconducting RF Accelerator Test Facility at
  Fermilab

abstract:
  The Advanced Superconducting Test Acccelerator (ASTA) is being constructed at
Fermilab. The existing New Muon Lab (NML) building is being converted for this
facility. The accelerator will consist of an electron gun, injector, beam
acceleration section consisting of 3 TTF-type or ILC-type cryomodules, multiple
downstream beamlines for testing diagnostics and conducting various beam tests,
and a high power beam dump. When completed, it is envisioned that this facility
will initially be capable of generating a 750-MeV electron beam with ILC beam
intensity. An expansion of this facility was recently completed that will
provide the capability to upgrade the accelerator to a total beam energy of
1.5-GeV. Two new buildings were also constructed adjacent to the ASTA facility
to house a new cryogenic plant and multiple superconducting RF (SRF) cryomodule
test stands. In addition to testing accelerator components, this facility will
be used to test RF power systems, instrumentation, and control systems for
future SRF accelerators such as the ILC and Project-X. This paper describes the
current status and overall plans for this facility.


title: Stability for the acoustic scattering problem for sound-hard scatterers

abstract:
  We study the stability for the direct acoustic scattering problem with
sound-hard scatterers with minimal regularity assumptions on the scatterers.
The main tool we use for this purpose is the convergence in the sense of Mosco.
  We obtain uniform decay estimates for scattered fields and we investigate how
a sound-hard screen may be approximated by thin sound-hard obstacles.


title:
Large-Scale Calculations of the Double-Beta Decay of 76Ge, 130Te, 136Xe,
  and 150Nd in the Deformed Self-Consistent Skyrme Quasiparticle Random-Phase
  Approximation

abstract:
  We use the axially-deformed Skyrme Quasiparticle Random-Phase Approximation
(QRPA) together with the SkM* energy-density functional, both as originally
presented and with the time-odd part adjusted to reproduce the Gamow-Teller
resonance energy in 208Pb, to calculate the matrix elements governing the
neutrinoless double-beta decay of 76Ge, 130Te, 136Xe, and 150Nd. Our matrix
elements in 130Te and 136Xe are significantly smaller than those of previous
QRPA calculations, primarily because of the difference in pairing or
deformation between the initial and final nuclei. In 76Ge and 150Nd our results
are similar to those of less computationally intensive QRPA calculations. We
suspect the 76Ge result, however, because we are forced to use a spherical
ground-state, even though the HFB indicates a deformed minimum.


title: On solutions of Kolmogorov's equations for jump Markov processes

abstract:
  This paper studies three ways to construct a nonhomogeneous jump Markov
process: (i) via a compensator of the random measure of a multivariate point
process, (ii) as a minimal solution of the backward Kolmogorov equation, and
(iii) as a minimal solution of the forward Kolmogorov equation. The main
conclusion of this paper is that, for a given measurable transition intensity,
commonly called a Q-function, all these constructions define the same
transition function. If this transition function is regular, that is, the
probability of accumulation of jumps is zero, then this transition function is
the unique solution of the backward and forward Kolmogorov equations. For
continuous Q-functions, Kolmogorov equations were studied in Feller's seminal
paper. In particular, this paper extends Feller's results for continuous
Q-functions to measurable Q-functions and provides additional results.


title: Planar functions over fields of characteristic two

abstract:
  Classical planar functions are functions from a finite field to itself and
give rise to finite projective planes. They exist however only for fields of
odd characteristic. We study their natural counterparts in characteristic two,
which we also call planar functions. They again give rise to finite projective
planes, as recently shown by the second author. We give a characterisation of
planar functions in characteristic two in terms of codes over $\mathbb{Z}_4$.
We then specialise to planar monomial functions $f(x)=cx^t$ and present
constructions and partial results towards their classification. In particular,
we show that $t=1$ is the only odd exponent for which $f(x)=cx^t$ is planar
(for some nonzero $c$) over infinitely many fields. The proof techniques
involve methods from algebraic geometry.


title:
Nuclear Infrared Spectral Energy Distribution of Type II Active Galactic
  Nuclei

abstract:
  We present near and mid--IR observations of a sample of Seyfert II galaxies
drawn from the $12\mu$m Galaxy Sample. The sample was observed in the J, H, K,
L, M and N bands. Galaxy Surface Brightness Profiles are modeled using nuclear,
bulge, bar (when necessary) and disk components. To check the reliability of
our findings the procedure was tested using {\em Spitzer\/} observations of
M\,31. Nuclear Spectral Energy Distributions (SEDs) are determined for 34
objects, and optical spectra are presented for 38, including analysis of their
stellar populations using the STARLIGHT spectral synthesis code. Emission line
diagnostic-diagrams are used to discriminate between genuine AGN and HII
nuclei. Combining our observations with those found in the literature, we have
a total of 40 SEDs. It is found that about 40\%\ of the SEDs are characterized
by an upturn in the near-IR, which we have quantified as a NIR slope $\alpha <
1$ for an SED characterized as $\lambda f_{\lambda} \propto \lambda^{\alpha}$.
Three objects with an HII nucleus and two Seyfert nuclei with strong
contamination from a circumnuclear starburst, also show an upturn. For genuine
AGN this component could be explained as emission from the accretion disk, a
jet, or from a very hot dust component leaking from the central region through
a clumpy obscuring structure. The presence of a very compact nuclear starburst
as the origin for this NIR excess emission is not favored by our spectroscopic
data for these objects.


title: Photon polarisation in electron-seeded pair-creation cascades

abstract:
  An electromagnetic pair-creation cascade seeded by an electron or a photon in
an intense plane wave interacts in a complicated way with the external field.
Many simulations neglect the vector nature of photons by including their
interaction using unpolarised cross-sections. After deriving rates for the
tree-level processes of nonlinear Compton scattering and pair creation with an
arbitrary linearly-polarised photon in a constant-crossed field, we present
results of numerical simulations that include the photon's vector nature. The
simulations of seed electrons in a rotating electric field of optical frequency
on the one hand support the approximation of using unpolarised cross-sections
for tree-level processes, which predicts the same number of created particles
when using polarised cross-section to within around 5 percent. On the other
hand, these simulations show that when the polarisation of the photon can be
influenced by its environment, the asymmetry in the polarisation distribution
could be used to significantly increase the rates of each process.