title: Physical Layer Network Coding for Two-Way Relaying with QAM

abstract:
  The design of modulation schemes for the physical layer network-coded two way
relaying scenario was studied in [1], [3], [4] and [5]. In [7] it was shown
that every network coding map that satisfies the exclusive law is representable
by a Latin Square and conversely, and this relationship can be used to get the
network coding maps satisfying the exclusive law. But, only the scenario in
which the end nodes use $M$-PSK signal sets is addressed in [7] and [8]. In
this paper, we address the case in which the end nodes use $M$-QAM signal sets.
In a fading scenario, for certain channel conditions $\gamma e^{j \theta}$,
termed singular fade states, the MA phase performance is greatly reduced. By
formulating a procedure for finding the exact number of singular fade states
for QAM, we show that square QAM signal sets give lesser number of singular
fade states compared to PSK signal sets. This results in superior performance
of $M$-QAM over $M$-PSK. It is shown that the criterion for partitioning the
complex plane, for the purpose of using a particular network code for a
particular fade state, is different from that used for $M$-PSK. Using a
modified criterion, we describe a procedure to analytically partition the
complex plane representing the channel condition. We show that when $M$-QAM ($M
>4$) signal set is used, the conventional XOR network mapping fails to remove
the ill effects of $\gamma e^{j \theta}=1$, which is a singular fade state for
all signal sets of arbitrary size. We show that a doubly block circulant Latin
Square removes this singular fade state for $M$-QAM.


title: Violation of Geometrical Scaling in pp Collisions at NA61/SHINE

abstract:
  We analyze geometrical scaling (GS) of negative pion multiplicity p_T
distributions at NA61/SHINE energies. We show that even though NA61/SHINE
energies are low, one may expect to find GS in the particle spectra. We argue
that qualitative behavior of ratios of multiplicities at different energies is
in agreement with a simple picture of GS which is violated for p_T smaller than
some nonperturbative scale Lambda and when larger Bjorken x of one of the
scattering patrons crosses x_max above which gluonic cloud becomes dilute and
quark degrees of freedom become important.


title:
Non-Gaussianity effect of petrophysical quantities by using q-entropy
  and multi fractal random walk

abstract:
  The geological systems such as petroleum reservoirs is investigated by the
entropy introduced by Tsallis and multiplicative hierarchical cascade model.
When non-Gaussianity appears, it is sign of uncertainty and phase transition,
which could be sign of existence of petroleum reservoirs. Two important
parameters which describe a system at any scale are determined; the
non-Gaussian degree, $q$, announced in entropy and the intermittency,
$\lambda^2$, which explains a critical behavior in the system. There exist some
petrophysical indicators in order to characterize a reservoir, but there is
vacancy to measure scaling information contain in comparison with together,
yet. In this article, we compare the non-Gaussianity in three selected
indicators in various scales. The quantities investigated in this article
includes Gamma emission (GR), sonic transient time (DT) and Neutron porosity
(NPHI). It is observed that GR has a fat tailed PDF at all scales which is a
sign of phase transition in the system which indicates high $q$ and
$\lambda^2$. This results in the availability of valuable information about
this quantity. NPHI displays a scale dependence of PDF which converges to a
Gaussian at large scales. This is a sign of a separated and uncorrelated
porosity at large scales. For the DT series, small $\lambda^2$ and $q$ at all
scales are a hallmark of local correlations in this quantity.


title: Regularised PCA to denoise and visualise data

abstract:
  Principal component analysis (PCA) is a well-established method commonly used
to explore and visualise data. A classical PCA model is the fixed effect model
where data are generated as a fixed structure of low rank corrupted by noise.
Under this model, PCA does not provide the best recovery of the underlying
signal in terms of mean squared error. Following the same principle as in ridge
regression, we propose a regularised version of PCA that boils down to
threshold the singular values. Each singular value is multiplied by a term
which can be seen as the ratio of the signal variance over the total variance
of the associated dimension. The regularised term is analytically derived using
asymptotic results and can also be justified from a Bayesian treatment of the
model. Regularised PCA provides promising results in terms of the recovery of
the true signal and the graphical outputs in comparison with classical PCA and
with a soft thresholding estimation strategy. The gap between PCA and
regularised PCA is all the more important that data are noisy.


title:
Proceedings First International Workshop on Trends in Functional
  Programming in Education

abstract:
  The First International Workshop on Trends in Functional Programming in
Education, TFPIE 2012, was held on June 11, 2012 at the University of St
Andrews in Scotland. The goal of TFPIE is to gather researchers, professors,
teachers, and all professionals that use or are interested in the use of
functional programming in education. Submissions were vetted by the TFPIE 2012
program committee using prevailing academic standards. The 4 articles in this
volume were selected for publication as the result of this process. These
articles cover a wide range of novel approaches in education using functional
programming. Page and Gamboa describe how they introduce students to
computational thinking and problem solving using logic and equation-based
reasoning. O'Donnell describes efforts to make computer systems courses come
alive through the use of simulation and a functional hardware description
language. Radge describes a novel approach to CS1 exploiting the interplay of
the imprecision found in mathematical abstractions and the precision that is
required in programming. Stutterheim, Swierstra, and Swierstra describe a new
approach to introduce high school students to programming and to important
ideas in Computer Science using a web-based interpreter and theorem prover.


title:
Reconstructing the Subsurface Three-Dimensional Magnetic Structure of A
  Solar Active Region Using SDO/HMI Observations

abstract:
  A solar active region (AR) is a three-dimensional magnetic structure formed
in the convection zone, whose property is fundamentally important for
determining the coronal structure and solar activity when emerged. However, our
knowledge on the detailed 3-D structure prior to its emergence is rather poor,
largely limited by the low cadence and sensitivity of previous instruments.
Here, using the 45-second high-cadence observations from the Helioseismic and
Magnetic Imager (\emph{HMI}) onboard the Solar Dynamics Observatory
(\emph{SDO}), we are able for the first time to reconstruct a 3-D datacube and
infer the detailed subsurface magnetic structure of NOAA AR 11158 and to
characterize its magnetic connectivity and topology. This task is accomplished
with the aid of the image-stacking method and advanced 3-D visualization. We
find that the AR consists of two major bipoles, or four major polarities. Each
polarity in 3-D shows interesting tree-like structure, i.e. while the root of
the polarity appears as a single tree-trunk-like tube, the top of the polarity
has multiple branches consisting of smaller and thinner flux-tubes which
connect to the branches of the opposite polarity that is similarly fragmented.
The roots of the four polarities align well along a straight line, while the
top branches are slightly non-coplanar. Our observations suggest that an active
region, even appearing highly complicated on the surface, may originate from a
simple straight flux-tube that undergoes both horizontal and vertical
bifurcation processes during its rise through the convection zone.


title:
Lepton flavor violating processes \tau ->\mu\gamma$, $\tau-> 3\mu$ and
  $Z-> \mu\tau$ in the Supersymmetric economical 3-3-1 model

abstract:
  In this work, we study the charged lepton flavor violating (cLFV) decays
$\tau-> \mu\gamma$, $\tau-> 3\mu$ and $Z->\mu\tau$ in the framework of the
Supersymmetric economical 3-3-1 model. Analytic formulas for branching ratios
(BR) of these decays are presented. We assume that there exist lepton flavor
violation (LFV) sources in both right- and left-handed slepton sectors. This
leads to the strong enhancement of cLFV decay rates. We also show that the
effects of the LFV source to the cLFV decay rates in the left-handed slepton
sector are greater than those in the right- handed slepton sector. By numerical
investigation, we show that the model under consideration contains the relative
light mass spectrum of sleptons which satisfies the current experimental bounds
on LFV processes in the limit of small $\tan \gamma$. The interplay between
monopole and dipole operators also was studied.


title: Derived subalgebras of centralisers and finite W-algebras

abstract:
  Let g = Lie(G) be the Lie algebra of a simple algebraic group G over an
algebraically closed field of characteristic 0. Let e be a nilpotent element of
g and let g_e = Lie(G_e) where G_e stands for the stabiliser of e in G. For g
classical, we give an explicit combinatorial formula for the codimension of
[g_e, g_e] in g_e and use it to determine those e in g for which the largest
commutative quotient U(g,e)^{ab} of the finite W-algebra U(g,e) is isomorphic
to a polynomial algebra. It turns out that this happens if and only if e lies
in a unique sheet of g. The nilpotent elements with this property are called
non-singular in the paper. Confirming a recent conjecture of Izosimov we prove
that a nilpotent element e in g is non-singular if and only if the maximal
dimension of the geometric quotients S/G, where S is a sheet of g containing e,
coincides with the codimension of [g_e,g_e] in g_e and describe all
non-singular nilpotent elements in terms of partitions. We also show that for
any nilpotent element e in a classical Lie algebra g the closed subset of Specm
U(g,e)^{ab} consisting of all points fixed by the natural action of the
component group of G_e is isomorphic to an affine space. Analogues of these
results for exceptional Lie algebras are also obtained and applications to the
theory of primitive ideals are given.


title:
Real Time scheduling with Virtual Nodes for Self Stabilization in
  Wireless Sensor Networks

abstract:
  In this paper we propose a new scheduling algorithm called Real Time
Scheduling (RTS) which uses virtual nodes for self stabilization. This
algorithm deals with all the contributing components of the end-to-end
travelling delay of data packets in sensor network and with virtual nodes
algorithm achieves QoS in terms of packet delivery, multiple connections,
better power management and stable routes in case of failure. RTS delays
packets at intermediate hops (not just prioritizes them) for a duration that is
a function of their deadline. Delaying packets allows the network to avoid hot
spotting while maintaining deadline-faithfulness. We compare RTS with another
prioritizing and scheduling algorithm for real-time data dissemination in
sensor networks, velocity monotonic scheduling. This paper simulates RTS based
on two typical routing protocols, shortest path routing and greedy forwarding
with J-Sim.


title: On bibliographic networks

abstract:
  In the paper we show that the bibliographic data can be transformed into a
collection of compatible networks. Using network multiplication different
interesting derived networks can be obtained. In defining them an appropriate
normalization should be considered. The proposed approach can be applied also
to other collections of compatible networks. We also discuss the question when
the multiplication of sparse networks preserves sparseness. The proposed
approaches are illustrated with analyses of collection of networks on the topic
"social network" obtained from the Web of Science.


title: On second variation of Wang-Yau quasi-local energy

abstract:
  We study a functional on the boundary of a compact Riemannian 3-manifold of
nonnegative scalar curvature. The functional arises as the second variation of
the Wang-Yau quasi-local energy in general relativity. We prove that the
functional is positive definite on large coordinate spheres, and more general
on nearly round surfaces including large constant mean curvature spheres in
asymptotically flat 3-manifolds with positive mass; it is also positive
definite on small geodesics spheres, whose centers do not have vanishing
curvature, in Riemannian 3-manifolds of nonnegative scalar curvature. We also
give examples of functions H, which can be made arbitrarily close to the
constant 2, on the standard sphere such that the boundary data consisting of
the standard spherical metric and H has positive Brown-York mass while the
associated functional is negative somewhere.


title: An Extension of Cui-Kano's Characterization Problem on Graph Factors

abstract:
  Let $G$ be a graph with vertex set $V(G)$ and let $H:V(G)\rightarrow 2^N$ be
a set function associating with $G$. An $H$-factor of graph $G$ is a spanning
subgraphs $F$ such that $$d_F(v)\in H(v){4em}\hbox{for every}v\in V(G).$$ Let
$f:V(G)\rightarrow N$ be an even integer-valued function such that $f\geq 4$
and let $H_f(v)=\{1,3,...,f(v)-1, f(v)\}$ for $v\in V(G)$. In this paper, we
investigate $H_f$-factors of graphs $G$ by using Lov\'asz's structural
descriptions. Let $o(G)$ denote the number of odd components of $G$.
  We show that if one of the following conditions holds, then $G$ contains an
$H_f$-factor. [$(i)$] $o(G-S)\leq f(S)$ for all $S\subseteq V(G)$; [$(ii)$]
$|V(G)|$ is odd, $d_G(v)\geq f(v)-1$ for all $v\in V(G)$ and $o(G-S)\leq f(S)$
for all $\emptyset\neq S\subseteq V(G)$. As a corollary, we show that if a
graph $G$ with odd order and minimum degree $2n-1$ satisfies $$o(G-S)\leq
2n|S|{4em}{for all}
  \emptyset\neq S\subseteq V(G),$$ then $G$ contains an $H_n$-factor. In
particular, we make progress on the characterization problem for a special
family of graphs proposed by Akiyama and Kano.


title:
Herschel-HIFI observations of high-J CO and isotopologues in
  star-forming regions: from low- to high-mass

abstract:
  Context; Our understanding of the star formation process has traditionally
been confined to certain mass or luminosity boundaries because most studies
focus only on low-, intermediate- or high-mass star-forming regions. As part of
the "Water In Star-forming regions with Herschel" (WISH) key program, water and
other important molecules, such as CO and OH, have been observed in 51 embedded
young stellar objects (YSOs). The studied sample covers a range of luminosities
from <1 to >10^5 L_sol. Aims; We analyse the CO line emission towards a large
sample of protostars in terms of both line intensities and profiles. Methods;
Herschel-HIFI spectra of the 12CO 10-9, 13CO 10-9 and C18O 5-4, 9-8 and 10-9
lines are analysed for a sample of 51 YSOs. In addition, JCMT spectra of 12CO
3-2 and C18O 3-2 extend this analysis to cooler gas components. Results; All
observed CO and isotopologue spectra show a strong linear correlation between
the logarithms of the line and bolometric luminosities across six orders of
magnitude on both axes. This suggests that the high-J CO lines primarily trace
the amount of dense gas associated with YSOs. This relation can be extended to
larger (extragalactic) scales. The majority of the detected 12CO line profiles
can be decomposed into a broad and a narrow Gaussian component, while the C18O
spectra are mainly fitted with a single Gaussian. A broadening of the line
profile is also observed from pre-stellar cores to embedded protostars, which
is due mostly to non-thermal motions (turbulence/infall). The widths of the
broad 12CO 3-2 and 10-9 velocity components correlate with those of the narrow
C18O 9-8 profiles, suggesting that the entrained outflowing gas and envelope
motions are related independent of the mass of the protostar. These results
indicate that physical processes in protostellar envelopes have similar
characteristics across the studied luminosity range.


title:
English Sentence Recognition using Artificial Neural Network through
  Mouse-based Gestures

abstract:
  Handwriting is one of the most important means of daily communication.
Although the problem of handwriting recognition has been considered for more
than 60 years there are still many open issues, especially in the task of
unconstrained handwritten sentence recognition. This paper focuses on the
automatic system that recognizes continuous English sentence through a
mouse-based gestures in real-time based on Artificial Neural Network. The
proposed Artificial Neural Network is trained using the traditional
backpropagation algorithm for self supervised neural network which provides the
system with great learning ability and thus has proven highly successful in
training for feed-forward Artificial Neural Network. The designed algorithm is
not only capable of translating discrete gesture moves, but also continuous
gestures through the mouse. In this paper we are using the efficient neural
network approach for recognizing English sentence drawn by mouse. This approach
shows an efficient way of extracting the boundary of the English Sentence and
specifies the area of the recognition English sentence where it has been drawn
in an image and then used Artificial Neural Network to recognize the English
sentence. The proposed approach English sentence recognition (ESR) system is
designed and tested successfully. Experimental results show that the higher
speed and accuracy were examined.


title:
Sharp detection of smooth signals in a high-dimensional sparse matrix
  with indirect observations

abstract:
  We consider a matrix-valued Gaussian sequence model, that is, we observe a
sequence of high-dimensional $M \times N$ matrices of heterogeneous Gaussian
random variables $x_{ij,k}$ for $i \in\{1,...,M\}$, $j \in \{1,...,N\}$ and $k
\in \mathbb{Z}$. The standard deviation of our observations is $\ep k^s$ for
some $\ep >0$ and $s \geq 0$.
  We give sharp rates for the detection of a sparse submatrix of size $m \times
n$ with active components. A component $(i,j)$ is said active if the sequence
$\{x_{ij,k}\}_k$ have mean $\{\theta_{ij,k}\}_k$ within a Sobolev ellipsoid of
smoothness $\tau >0$ and total energy $\sum_k \theta^2_{ij,k} $ larger than
some $r^2_\ep$. Our rates involve relationships between $m,\, n, \, M$ and $N$
tending to infinity such that $m/M$, $n/N$ and $\ep$ tend to 0, such that a
test procedure that we construct has asymptotic minimax risk tending to 0.
  We prove corresponding lower bounds under additional assumptions on the
relative size of the submatrix in the large matrix of observations. Except for
these additional conditions our rates are asymptotically sharp. Lower bounds
for hypothesis testing problems mean that no test procedure can distinguish
between the null hypothesis (no signal) and the alternative, i.e. the minimax
risk for testing tends to 1.


title:
The second Born approximation of electron-argon elastic scattering in a
  Bichromatic laser field

abstract:
  We study the elastic scattering of atomic argon by electron in the presence
of a bichromatic laser field in the second Born approximation. The target atom
is approximated by a simple screening potential and the continuum states of the
impinging and emitting electrons are described as Volkov states. We evaluate
the S-matrix elements numerically. The dependence of differential cross section
on the relative phase between the two laser components is presented. The
results obtained in the first and second Born approximation are compared and
analysed.


title: Recurrent Neural Network Method in Arabic Words Recognition System

abstract:
  The recognition of unconstrained handwriting continues to be a difficult task
for computers despite active research for several decades. This is because
handwritten text offers great challenges such as character and word
segmentation, character recognition, variation between handwriting styles,
different character size and no font constraints as well as the background
clarity. In this paper primarily discussed Online Handwriting Recognition
methods for Arabic words which being often used among then across the Middle
East and North Africa people. Because of the characteristic of the whole body
of the Arabic words, namely connectivity between the characters, thereby the
segmentation of An Arabic word is very difficult. We introduced a recurrent
neural network to online handwriting Arabic word recognition. The key
innovation is a recently produce recurrent neural networks objective function
known as connectionist temporal classification. The system consists of an
advanced recurrent neural network with an output layer designed for sequence
labeling, partially combined with a probabilistic language model. Experimental
results show that unconstrained Arabic words achieve recognition rates about
79%, which is significantly higher than the about 70% using a previously
developed hidden markov model based recognition system.


title:
Two Weight Inequality for the Hilbert Transform: A Real Variable
  Characterization, II

abstract:
  A conjecture of Nazarov--Treil--Volberg on the two weight inequality for the
Hilbert transform is verified. Given two non-negative Borel measures u and w on
the real line, the Hilbert transform $H_u$ maps $L^2(u)$ to $L^2(w)$ if and
only if the pair of measures of satisfy a Poisson $A_2$ condition, and dual
collections of testing conditions, uniformly over all intervals. This
strengthens a prior characterization of Lacey-Sawyer-Shen-Uriate-Tuero
arxiv:1201.4319. The latter paper includes a `Global to Local' reduction. This
article solves the Local problem.


title: The cooling rate dependence of the shear modulus of amorphous solids

abstract:
  Rapidly cooling a liquid may result in a glass transition, creating an
amorphous solid whose shear and bulk moduli are finite. Even when done with
constant density, these resulting moduli depend strongly on the rate of
cooling. Understanding this phenomenon calls for analyzing separately the "Born
term" that exists also in perfectly ordered materials and the contributions of
the "excess modes" that result from glassy disorder. We show that the Born term
is very insensitive to the cooling rate, and all the variation in the shear
modulus is due to the excess modes. We argue that this approach provides a
quantitative understanding of the cooling rate dependence of a basic linear
response coefficient, i.e. the shear modulus.


title: Nonnegative definite hermitian matrices with increasing principal minors

abstract:
  A nonzero nonnegative definite hermitian m by m matrix A has increasing
principal minors if the value of each principle minor of A is not less than the
value each of its subminors. For $m>1$ we show $A$ has increasing principal
minors if and only if $A^{-1}$ exists and its diagonal entries are less or
equal to 1.


title:
A Linearly Convergent Conditional Gradient Algorithm with Applications
  to Online and Stochastic Optimization

abstract:
  Linear optimization is many times algorithmically simpler than non-linear
convex optimization. Linear optimization over matroid polytopes, matching
polytopes and path polytopes are example of problems for which we have simple
and efficient combinatorial algorithms, but whose non-linear convex counterpart
is harder and admits significantly less efficient algorithms. This motivates
the computational model of convex optimization, including the offline, online
and stochastic settings, using a linear optimization oracle. In this
computational model we give several new results that improve over the previous
state-of-the-art. Our main result is a novel conditional gradient algorithm for
smooth and strongly convex optimization over polyhedral sets that performs only
a single linear optimization step over the domain on each iteration and enjoys
a linear convergence rate. This gives an exponential improvement in convergence
rate over previous results.
  Based on this new conditional gradient algorithm we give the first algorithms
for online convex optimization over polyhedral sets that perform only a single
linear optimization step over the domain while having optimal regret
guarantees, answering an open question of Kalai and Vempala, and Hazan and
Kale. Our online algorithms also imply conditional gradient algorithms for
non-smooth and stochastic convex optimization with the same convergence rates
as projected (sub)gradient methods.


title:
A New Hybrid Classical-Quantum Algorithm for Continuous Global
  Optimization Problems

abstract:
  Grover's algorithm can be employed in global optimization methods providing,
in some cases, a quadratic speedup over classical algorithms. This paper
describes a new method for continuous global optimization problems that uses a
classical algorithm for finding a local minimum and Grover's algorithm to
escape from this local minimum. Simulations with testbed functions and
comparisons with algorithms from the literature are presented.


title:
A MATLAB Code for Three Dimensional Linear Elastostatics using Constant
  Boundary Elements

abstract:
  Present work presents a code written in the very simple programming language
MATLAB, for three dimensional linear elastostatics, using constant boundary
elements. The code, in full or in part, is not a translation or a copy of any
of the existing codes. Present paper explains how the code is written, and
lists all the formulae used. Code is verified by using the code to solve a
simple problem which has the well known approximate analytical solution. Of
course, present work does not make any contribution to research on boundary
elements, in terms of theory. But the work is justified by the fact that, to
the best of author's knowledge, as of now, one cannot find an open access
MATLAB code for three dimensional linear elastostatics using constant boundary
elements. Author hopes this paper to be of help to beginners who wish to
understand how a simple but complete boundary element code works, so that they
can build upon and modify the present open access code to solve complex
engineering problems quickly and easily. The code is available online for open
access (as supplementary file for the present paper), and may be downloaded
from the website for the present journal.


title: Ordering the space of finitely generated groups

abstract:
  We consider the oriented graph whose vertices are isomorphism classes of
finitely generated groups, with an edge from G to H if, for some generating set
T in H and some sequence of generating sets S_i in G, the marked balls of
radius i in (G,S_i) and in (H,T) coincide.
  Given a nilpotent group G, we characterize its connected component in this
graph: if that connected component contains at least one torsion-free group,
then it consists of those groups which generate the same variety of groups as
G.
  The arrows in the graph define a preorder on the set of isomorphism classes
of finitely generated groups. We show that a partial order can be imbedded in
this preorder if and only if it is realizable by subsets of a countable set
under inclusion.
  We show that every countable group imbeds in a group of non-uniform
exponential growth. In particular, there exist groups of non-uniform
exponential growth that are not residually of subexponential growth and do not
admit a uniform imbedding into Hilbert space.


title: Measurement of the hyperfine structure of antihydrogen in a beam

abstract:
  A measurement of the hyperfine structure of antihydrogen promises one of the
best tests of CPT symmetry. We describe an experiment planned at the Antiproton
Decelerator of CERN to measure this quantity in a beam of slow antihydrogen
atoms.


title: Oscillation of H\"older Continuous Functions

abstract:
  Local oscillation of a function satisfying a H\"older condition is considered
and it is proved that its growth is governed by a version of the Law of the
Iterated Logarithm.


title:
Delocalization and superfluidity of ultracold bosonic atoms in a ring
  lattice

abstract:
  Properties of bosonic atoms in small systems with a periodic quasi
one-dimensional circular toroidal lattice potential subjected to rotation are
examined by performing exact diagonalization in a truncated many body space.
The expansion of the many-body Hamiltonian is considered in terms of the first
band Bloch functions, and no assumption regarding restriction to
nearest-neighbor hopping (tight-binding approximation) is involved. A finite
size version of the zero temperature phase diagrams of Fisher et al.
\cite{Fisher} is obtained and the results, in remarkable quantitative
correspondence with the results available for larger systems, discussed. Ground
state properties relating to superfluidity are examined in the context of
two-fluid phenomenology. The basic tool, consisting of the intrinsic inertia
associated with small rotation angular velocities in the lab frame, is used to
obtain ground state `superfluid fractions' numerically. They are analytically
associated with one-body, uniform solenoidal currents in the case of the
adopted geometry. These currents are in general incoherent superpositions of
contributions from each eigenstate of the associated reduced one-body
densities, with the corresponding occupation numbers as weights. Full coherence
occurs therefore only when only one eigenstate is occupied by all bosons. The
obtained numerical values for the superfluid fractions remain small throughout
the parameter region corresponding to the `Mott insulator to superfluid'
transition, and saturate at unity only as the lattice is completely smoothed
out.


title:
Effects of rf breakdown on the beam in the Compact Linear Collider
  prototype accelerator structure

abstract:
  Understanding the effects of RF breakdown in high-gradient accelerator
structures on the accelerated beam is an extremely relevant aspect in the
development of the Compact Linear Collider (CLIC) and is one of the main issues
addressed at the Two-beam Test Stand at the CLIC Test Facility 3 at CERN.
During a RF breakdown large electro-magnetic fields are generated and produce
parasitic magnetic fields which interact with the accelerated beam affecting
its orbit and energy. We discuss here measurements of such effects observed on
an electron beam accelerated in a CLIC prototype structure. Measurements of the
trajectory of bunch-trains on a nanosecond time-scale showed fast changes in
correspondence of breakdown which we compare with measurements of the relative
beam spots on a scintillating screen. We identify different breakdown scenarios
for which we offer an explanation based also on measurements of the power at
the input and output ports of the accelerator structure. Finally we present the
distribution of the magnitude of the observed changes in the beam orbit and we
discuss its correlation with RF power and breakdown location in the accelerator
structure.


title:
Censoring Distances Based on Labeled Cortical Distance Maps in Cortical
  Morphometry

abstract:
  Shape differences are manifested in cortical structures due to
neuropsychiatric disorders. Such differences can be measured by labeled
cortical distance mapping (LCDM) which characterizes the morphometry of the
laminar cortical mantle of cortical structures. LCDM data consist of signed
distances of gray matter (GM) voxels with respect to GM/white matter (WM)
surface. Volumes and descriptive measures (such as means and variances) for
each subject and the pooled distances provide the morphometric differences
between diagnostic groups, but they do not reveal all the morphometric
information contained in LCDM distances. To extract more information from LCDM
data, censoring of the distances is introduced. For censoring of LCDM
distances, the range of LCDM distances is partitioned at a fixed increment
size; and at each censoring step, and distances not exceeding the censoring
distance are kept. Censored LCDM distances inherit the advantages of the pooled
distances. Furthermore, the analysis of censored distances provides information
about the location of morphometric differences which cannot be obtained from
the pooled distances. However, at each step, the censored distances aggregate,
which might confound the results. The influence of data aggregation is
investigated with an extensive Monte Carlo simulation analysis and it is
demonstrated that this influence is negligible. As an illustrative example, GM
of ventral medial prefrontal cortices (VMPFCs) of subjects with major
depressive disorder (MDD), subjects at high risk (HR) of MDD, and healthy
control (Ctrl) subjects are used. A significant reduction in laminar thickness
of the VMPFC and perhaps shrinkage in MDD and HR subjects is observed when
compared to Ctrl subjects. The methodology is also applicable to LCDM-based
morphometric measures of other cortical structures affected by disease.


title: Quantum Effects at Low Energy Atom-Molecule Interface

abstract:
  Quantum interference effects in inter-conversion between cold atoms and
diatomic molecules are analysed. Within the framework of Fano's theory,
continuum-bound anisotropic dressed state formalism of atom-molecule quantum
dynamics is presented. This formalism is applicable in photo- and
magneto-associative strong-coupling regimes. The significance of Fano effect in
ultracold atom-molecule transitions is discussed. Quantum effects at low energy
atom-molecule interface are important for exploring coherent phenomena in
hither-to unexplored parameter regimes.


title:
Enhanced and directional single photon emission in hyperbolic
  metamaterials

abstract:
  We propose an approach to enhance and direct the spontaneous emission from
isolated emitters embedded inside hyperbolic metamaterials into single photon
beams. The approach rests on collective plasmonic Bloch modes of hyperbolic
metamaterials which propagate in highly directional beams called quantum
resonance cones. We propose a pumping scheme using the transparency window of
the hyperbolic metamaterial that occurs near the topological transition.
Finally, we address the challenge of outcoupling these broadband resonance
cones into vacuum using a dielectric bullseye grating. We give a detailed
analysis of quenching and design the metamaterial to have a huge Purcell factor
in a broad bandwidth inspite of the losses in the metal. Our work should help
motivate experiments in the development of single photon sources for broadband
emitters such as nitrogen vacancy centers in diamond.


title: Some properties and examples of log terminal+ singularities

abstract:
  In "Singularities on Normal Varieties", de Fernex and Hacon started the study
of singularities on non-Q-Gorenstein varieties using pullbacks of Weil
divisors. In "Log Terminal Singularities", the author of this paper and
Urbinati introduce a new class of singularities, called log terminal+, or
simply lt+, which they prove is rather well behaved. In this paper we will
continue the study of lt+ singularities, and we will show that they satisfy a
Bertini type result, inversion of adjunction and small deformation invariance,
and that they are naturally related to rational singularities. Finally, we will
provide a list of example (all of them with lt+ singularities) of the
pathologies that can occur in the study of non-Q-Gorenstein singularities.


title: Quantum motor and future

abstract:
  In a popular language, the possibilities of the Casimir expulsion effect are
presented, which can be the basis of quantum motors. Such motors can be in the
form of a special multilayer thin film with periodic and complex nanosized
structures. Quantum motors of the type of the Casimir platforms can be the base
of transportation, energy and many other systems in the future.


title: Cellular Tree Classifiers

abstract:
  The cellular tree classifier model addresses a fundamental problem in the
design of classifiers for a parallel or distributed computing world: Given a
data set, is it sufficient to apply a majority rule for classification, or
shall one split the data into two or more parts and send each part to a
potentially different computer (or cell) for further processing? At first
sight, it seems impossible to define with this paradigm a consistent classifier
as no cell knows the "original data size", $n$. However, we show that this is
not so by exhibiting two different consistent classifiers. The consistency is
universal but is only shown for distributions with nonatomic marginals.


title:
Compact binary systems in scalar-tensor gravity: Equations of motion to
  2.5 post-Newtonian order

abstract:
  We calculate the explicit equations of motion for non-spinning compact
objects to 2.5 post-Newtonian order, or O(v/c)^5 beyond Newtonian gravity, in a
general class of scalar-tensor theories of gravity. We use the formalism of the
Direct Integration of the Relaxed Einstein Equations (DIRE), adapted to
scalar-tensor theory, coupled with an approach pioneered by Eardley for
incorporating the internal gravity of compact, self-gravitating bodies. For the
conservative part of the motion, we obtain the two-body Lagrangian and
conserved energy and momentum through second post-Newtonian order. We find the
1.5 post-Newtonian and 2.5 post-Newtonian contributions to gravitational
radiation reaction, the former corresponding to the effects of dipole
gravitational radiation, and verify that the resulting energy loss agrees with
earlier calculations of the energy flux. For binary black holes we show that
the motion through 2.5 post-Newtonian order is observationally identical to
that predicted by general relativity. For mixed black-hole neutron-star binary
systems, the motion is identical to that in general relativity through the
first post-Newtonian order, but deviates from general relativity beginning at
1.5 post-Newtonian order, in part through the onset of dipole gravitational
radiation. But through 2.5 post-Newtonian order, those deviations in the motion
of a mixed system are governed by a single parameter dependent only upon the
scalar-tensor coupling constant and the structure of the neutron star, and are
formally the same for a general class of scalar-tensor theories as they are for
pure Brans-Dicke theory.


title: Universal Distance-Scaling of Non-radiative Energy Transfer to Graphene

abstract:
  The near-field interaction between fluorescent emitters and graphene exhibits
rich physics associated with local dipole-induced electromagnetic fields that
are strongly enhanced due to the unique properties of graphene. Here, we
measure emitter lifetimes as a function of emitter-graphene distance d, and
find agreement with a universal scaling law, governed by the fine-structure
constant. The observed energy transfer- rate is in agreement with a 1/d^4
dependence that is characteristic of 2D lossy media. The emitter decay rate is
enhanced 90 times (transfer efficiency of ~99%) with respect to the decay in
vacuum at distances d ~ 5 nm. This high energy-transfer rate is mainly due to
the two-dimensionality and gapless character of the monoatomic carbon layer.
Graphene is thus shown to be an extraordinary energy sink, holding great
potential for photodetection, energy harvesting, and nanophotonics.


title: Binary Patterns in Binary Cube-Free Words: Avoidability and Growth

abstract:
  The avoidability of binary patterns by binary cube-free words is investigated
and the exact bound between unavoidable and avoidable patterns is found. All
avoidable patterns are shown to be D0L-avoidable. For avoidable patterns, the
growth rates of the avoiding languages are studied. All such languages, except
for the overlap-free language, are proved to have exponential growth. The exact
growth rates of languages avoiding minimal avoidable patterns are approximated
through computer-assisted upper bounds. Finally, a new example of a
pattern-avoiding language of polynomial growth is given.


title:
Theory of resonant inelastic X-ray scattering in vanadium oxides: how to
  detect $d$-$d$ excitations?

abstract:
  Generic low-energy spectral features related to $d$-$d$ excitations in nearly
cubic vanadium perovskites are predicted for the expected $L$-edge resonant
inelastic X-ray scattering (RIXS) measurements. Model Hamiltonian describing
local electronic properties, including crystal-field effects, of vanadium 3d
orbitals in the basic $t_{2g}^2$ configuration is formulated with the help of
complementary {\it ab initio} quantum-chemical cluster calculations. In the
presence of 2p-core hole, the local Hamiltonian includes strong 2p-3d electron
interactions. As a prerequisite for evaluating RIXS transition amplitudes
beyond the fast collision approximation, a symmetry-group approach is applied
to generate a basis set of many-electron wavefunctions of the intermediate
core-hole states accessible in RIXS processes. Although a comprehensive
description of the core-hole multiplets still remains a formidable task and
requires using specially designed numerical codes, for particular resonant
states the analysis is simplified and the calculation of RIXS amplitude can be
carried out analytically to the end.


title:
The Search for Neutrino-Antineutrino Mixing Resulting from Lorentz
  Invariance Violation using neutrino interactions in MINOS

abstract:
  We searched for a sidereal modulation in the rate of neutrinos produced by
the NuMI beam and observed by the MINOS far detector. The detection of such
harmonic signals could be a signature of neutrino-antineutrino mixing due to
Lorentz and CPT violation as described by the Standard Model Extension
framework. We found no evidence for these sidereal signals and we placed limits
on the coefficients in this theory describing the effect. This is the first
report of limits on these neutrino-antineutrino mixing coefficients.


title: On uniform topological algebras

abstract:
  The uniform norm on a uniform normed Q-algebra is the only uniform Q-algebra
norm on it. The uniform norm on a regular uniform normed Q-algebra with unit is
the only uniform norm on it. Let A be a uniform topological algebra whose
spectrum M (A) is equicontinuous, then A is a uniform normed algebra. Let A be
a regular semisimple commutative Banach algebra, then every algebra norm on A
is a Q-algebra norm on A.


title: Quarkonium Production with the CMS Experiment

abstract:
  Results from studies of quarkonium production are presented from the CMS
experiment at the LHC in proton-proton collisions at sqrt(s) = 7 TeV. We report
measurements of the ratio of chi_c2/chi_c1 production versus transverse
momentum and Upsilon(nS) production vs rapidity and transverse momentum for the
1S, 2S and 3S states. Reconstruction of Bc mesons is also presented in two
decay channels.


title: Noncommutative Spectral Geometry: A Short Review

abstract:
  We review the noncommutative spectral geometry, a gravitational model that
combines noncommutative geometry with the spectral action principle, in an
attempt to unify General Relativity and the Standard Model of electroweak and
strong interactions. Despite the phenomenological successes of the model, the
discrepancy between the predicted Higgs mass and the current experimental data
indicate that one may have to go beyond the simple model considered at first.
We review the current status of the phenomenological consequences and their
implications. Since this model lives by construction at high energy scales,
namely at the Grand Unified Theories scale, it provides a natural framework to
investigate early universe cosmology. We briefly review some of its
cosmological consequences.


title:
Revisiting the Bragg reflector to illustrate some modern developments in
  optics

abstract:
  A series of thin layers of alternating refractive index is known to make a
good optical mirror over certain bands of frequency. Such a device - often
termed the Bragg reflector - is usually introduced to students within the first
years of an undergraduate degree, often in isolation from other parts of the
course. Here we show that the basic physics of wave propagation through a
stratified medium can be used to illustrate some more modern developments in
optics as well as quantum physics; from transfer matrix techniques, to the
optical properties of cold trapped atoms, optomechanical cooling, and a simple
example of a system exhibiting an appreciable level of optical non-reciprocity.


title:
Self-regulation of human brain activity using simultaneous real-time
  fMRI and EEG neurofeedback

abstract:
  Neurofeedback is a promising approach for non-invasive modulation of human
brain activity with applications for treatment of mental disorders and
enhancement of brain performance. Neurofeedback techniques are commonly based
on either electroencephalography (EEG) or real-time functional magnetic
resonance imaging (rtfMRI). Advances in simultaneous EEG-fMRI have made it
possible to combine the two approaches. Here we report the first implementation
of simultaneous multimodal rtfMRI and EEG neurofeedback (rtfMRI-EEG-nf). It is
based on a novel system for real-time integration of simultaneous rtfMRI and
EEG data streams. We applied the rtfMRI-EEG-nf to training of emotional
self-regulation in healthy subjects performing a positive emotion induction
task based on retrieval of happy autobiographical memories. The participants
were able to simultaneously regulate their BOLD fMRI activation in the left
amygdala and frontal EEG power asymmetry in the high-beta band using the
rtfMRI-EEG-nf. Our proof-of-concept results demonstrate the feasibility of
simultaneous self-regulation of both hemodynamic (rtfMRI) and
electrophysiological (EEG) activity of the human brain. They suggest potential
applications of rtfMRI-EEG-nf in the development of novel cognitive
neuroscience research paradigms and enhanced cognitive therapeutic approaches
for major neuropsychiatric disorders, particularly depression.


title: Heavy-Flavor Results from CMS

abstract:
  Heavy-flavor physics offers the opportunity to make indirect tests of physics
beyond the Standard Model through precision measurements, and of quantum
chromodynamics (QCD) through particle production studies. The rare decays B0s,
B0 and D0 to dimuon final states are excellent tests of the flavor sector of
the Standard Model and are sensitive to new physics. We report on studies of
these decays and present the first observation of the excited b baryon Xib*0 in
strong decays to Xib and a charged pion, the observation of two Bc meson decay
modes and production properties of the Lambda_b baryon, all performed with the
CMS experiment in pp collisions at sqrt(s) = 7 TeV.


title: Cross-layer Optimization for Next Generation Wi-Fi

abstract:
  From the initial 1997 specification to the undergoing IEEE 802.11ac
standardization, a leap in throughput has been observed with every new
generation. The expectations for next generations on issues like throughput,
range, reliability, and power consumption are even higher. This is quite a
challenge considering all the work already done. Cross-layer optimization of
physical (PHY) and medium access control (MAC) layers can be an interesting
exploration path for further enhancement. During this thesis we have studied
cross-layer optimization techniques, with a focus on the IEEE 802.11ac
standard. A new multichannel aggregation scheme involving cross-knowledge
between PHY and MAC layers has been proposed to improve performance in
collision-prone environments. We have shown that some functionalities directly
involved PHY and MAC layers. An accurate modeling of both PHY and MAC
mechanisms is thus needed to have a realistic characterization of such
functionalities. A cross-layer simulator, compliant with IEEE 802.11ac
specifications, has thus been implemented. To the best of our knowledge, this
is the first simulator incorporating detailed PHY and MAC functionalities for
the IEEE 802.11ac standard. The multiple-user multiple-input, multiple-output
(MU-MIMO) technique, which is one of the main innovations of the IEEE 802.11ac,
needs both PHY and MAC layer considerations. We have thus used the implemented
cross-layer simulator to evaluate the performance of MU-MIMO and compared it
with the single-user MIMO (SU-MIMO). The aim of these studies was to evaluate
the 'real' gains of MU-MIMO solutions (accounting for PHY+MAC) over SU-MIMO
solutions and not the generally accepted ones. The impact of the channel
sounding interval has particularly been studied. Finally, we have proposed a
short PHY layer version of acknowledgment frames for overhead reduction in IEEE
802.11ah communications.


title: How regular can maxitive measures be?

abstract:
  We examine domain-valued maxitive measures defined on the Borel subsets of a
topological space. Several characterizations of regularity of maxitive measures
are proved, depending on the structure of the topological space. Since every
regular maxitive measure is completely maxitive, this yields sufficient
conditions for the existence of a cardinal density. We also show that every
outer-continuous maxitive measure can be decomposed as the supremum of a
regular maxitive measure and a maxitive measure that vanishes on compact
subsets under appropriate conditions.


title: Infrared Structure at NNLO Using Antenna Subtraction

abstract:
  We consider the infrared structure of hadron-hadron collisions at
next-to-next-to leading order using the antenna subtraction method. The general
form of the subtraction terms is presented for double real, real-virtual and
double virtual contributions. At NLO and NNLO it is shown that the virtual and
double virtual subtraction terms can be written in terms of integrated dipoles,
formed by systematically combining the mass factorisation contributions and
integrated antenna functions. The integrated dipoles describing $\ell$
unresolved partons, denoted $\bs{J}_{2}^{(\ell)}$, are related to Catani's IR
singularity operators, $\bs{I}_{ij}^{(\ell)}(\eps)$. It is shown that the IR
pole structure of the virtual and double virtual contributions can be written
as a sum over integrated dipoles within the antenna subtraction formalism and
the master expressions analogous to Catani's one- and two-loop factorisation
formulae are derived. To demonstrate the techniques described in this paper, we
apply antenna subtraction to the production of two gluon jets via
quark-antiquark scattering at NLO and NNLO. Double real, real-virtual and
double virtual subtraction terms are explicitly derived for the leading colour
NNLO contribution.


title: New Scalar Contributions to $h\to Z\gamma$

abstract:
  We calculate the Higgs decay rate of $h\to Z\gamma$ by including the
contributions from new scalars with arbitrary quantum numbers of the weak
isospin ($T$) and hypercharge ($Y$) in the standard model. We find that our
general formula for the decay rate of $h\to Z\gamma$ matches with that for
$h\to \gamma\gamma$ in the limit of $m_Z=0$, but it is different from those in
the literature. To illustrate our result, by taking the current $2\sigma$
excess of the $h\to \gamma\gamma$ rate measured by the LHC, we examine the
corresponding shift for the $Z\gamma$ decay channel due to the new scalar. We
show that the enhancement or reduction of the $h\to Z\gamma$ rate only depends
on the relative size of $T$ and the absolute value of $Y$. Explicitly, we
predict $0.76<R_{Z\gamma}\equiv \Gamma(h\to Z\gamma)/\Gamma_{SM}(h\to
Z\gamma)<2.05$ by imposing the observed range of $1.5<R_{\gamma\gamma}\equiv
\Gamma(h\to Z\gamma\gamma)/\Gamma_{SM}(h\to\gamma\gamma)<2$, which is
independent of the number of multiplets and the couplings to the Higgs particle
as long as the scalars are heavier than 200 GeV. This result provides a clear
signature for the future LHC measurements to test physics beyond the standard
model.


title: Minimalist's Electromagnetism - Different Axioms and Different Insight

abstract:
  That the speed of light is a universal constant is a logical consequence of
Maxwell's equations. Here we show the converse is also true. Electromagnetism
(EM) and electrodynamics (ED), in all details, can be derived from two simple
assumptions: i) the speed of light is a universal constant and, ii) the common
observations that there are the so-called charged particles that interact with
each other. Conventional EM and ED are observation based. The proposed
alternative spares all those observational foundations, only to reintroduce
them as theoretically derived and empiricism-free laws of Nature. There are
merits to simplicity. For instance, when one learns that Poisson's equation
emerges as a corollary of the formalism, one immediately concludes that
Coulomb's $1/r^2$ law of force is exact. Or, if it turns out that
$\nabla.\mathbf{B}=0$ follows from the theory, then non-existence of (at least
classical) magnetic monopoles will be an exact law of Nature. The list is
longer than the these two examples.


title: Uniform Oxygen Doping Leads to Superconductivity in FeTe Films

abstract:
  FeTe is known to become a superconductor when doped with oxygen. Using layer
by layer growth of single crystal films by molecular beam epitaxy (MBE), we
have studied how oxygen incorporates. If oxygen is supplied during growth of a
layer, it substitutes for tellurium inhomogeneously in oxygen domains that are
not associated with superconductivity. When oxygen is supplied after growth, it
diffuses homogeneously into the crystalline film and incorporates
interstitially. Only the interstitial oxygen causes superconductivity to
emerge. This suggests that the superconductivity observed in this material is
spatially uniform and not filamentary.


title: Domain structure created by irreversible adsorption of dimers

abstract:
  Structure of monolayers built during adsorption process is strongly related
to the properties of adsorbed particles. The most important factor is their
shape. For example, adsorption of elongated molecules on patterned surfaces may
produce certain orientational order inside a covering layer. This study,
however, focuses on random adsorption of dimers on flat, homogeneous surfaces.
It has been observed that despite the lack of global orientational ordering,
adsorbed dimers may form local, orientationally ordered structures [1, 2]. Our
investigations focus on the dependence between domain size distribution and
environmental parameters such as ionic strength, which affects the range of
electrostatic interaction between molecules.


title:
Measurement of W+W- and ZZ production cross sections in pp collisions at
  sqrt(s) = 8 TeV

abstract:
  The W+W- and ZZ production cross sections are measured in proton-proton
collisions at sqrt(s) = 8 TeV with the CMS experiment at the LHC in data
samples corresponding to an integrated luminosity of up to 5.3 inverse
femtobarns. The measurements are performed in the leptonic decay modes W+W- to
l' nu l'' nu and ZZ to 2l 2l', where l = e, mu and l'(l'') = e, mu, tau. The
measured cross sections sigma(pp to W+W-) = 69.9 +/- 2.8 (stat.) +/- 5.6
(syst.) +/- 3.1 (lumi.) pb and sigma(pp to ZZ) = 8.4 +/- 1.0 (stat.) +/- 0.7
(syst.) +/- 0.4 (lumi.) pb, for both Z bosons produced in the mass region 60 <
m[Z] < 120 GeV, are consistent with standard model predictions. These are the
first measurements of the diboson production cross sections at sqrt(s) = 8 TeV.


title: High energy collisions of particles inside ergosphere: general approach

abstract:
  We show that recent observation made in Grib and Pavlov, Europhys. Lett. 101
(2013) 20004 for the Kerr black hole is valid in the general case of rotating
axially symmetric metric. Namely, collision of two particles in the ergosphere
leads to indefinite growth of the energy in the centre of mass frame, provided
the angular momentum of one of two particles is negative and increases without
limit for a fixed energy at infinity. General approach enabled us to elucidate,
why the role of the ergosphere in this process is crucial.


title: Nanoplasmon-enabled macroscopic thermal management

abstract:
  In numerous applications of energy harvesting via transformation of light
into heat the focus recently shifted towards highly absorptive materials
featuring nanoplasmons. It is currently established that noble metals-based
absorptive plasmonic platforms deliver significant light-capturing capability
and can be viewed as super-absorbers of optical radiation. However, direct
experimental evidence of plasmon-enabled macroscopic temperature increase that
would result from these efficient absorptive properties is scarce. Here we
derive a general quantitative method of characterizing light-capturing
properties of a given heat-generating absorptive layer by macroscopic thermal
imaging. We further monitor macroscopic areas that are homogeneously heated by
several degrees with plasmon nanostructures that occupy a mere 8% of the
surface, leaving it essentially transparent and evidencing significant heat
generation capability of nanoplasmon-enabled light capture. This has a direct
bearing to thermophotovoltaics and other applications where thermal management
is crucial.


title:
Consequences of the existence of Auslander-Reiten triangles with
  applications to perfect complexes for self-injective algebras

abstract:
  In a k-linear triangulated category (where k is a field) we show that the
existence of Auslander-Reiten triangles implies that objects are determined, up
to shift, by knowing dimensions of homomorphisms between them. In most cases
the objects themselves are distinguished by this information, a conclusion
which was also reached under slightly different hypotheses in a theorem of
Jensen, Su and Zimmermann. The approach is to consider bilinear forms on
Grothendieck groups which are analogous to the Green ring of a finite group.
  We specialize to the category of perfect complexes for a self-injective
algebra, for which the Auslander-Reiten quiver has a known shape. We
characterize the position in the quiver of many kinds of perfect complexes,
including those of lengths 1, 2 and 3, rigid complexes and truncated projective
resolutions. We describe completely the quiver components which contain
projective modules. We obtain relationships between the homology of complexes
at different places in the quiver, deducing that every self-injective algebra
of radical length at least 3 has indecomposable perfect complexes with
arbitrarily large homology in any given degree. We find also that homology
stabilizes away from the rim of the quiver. We show that when the algebra is
symmetric, one of the forms considered earlier is Hermitian, and this allows us
to compute its values knowing them only on objects on the rim of the quiver.


title: Measures in Mice

abstract:
  This thesis analyses extenders in fine structural mice. Kunen showed that in
the inner model for one measurable cardinal, there is a unique measure. This
result is generalized, in various ways, to mice below a superstrong cardinal.
  The analysis is then used to show that certain tame mice satisfy
$V=\mathsf{HOD}$. In particular, the approach proides a new proof of this
result for the inner model $M_n$ for $n$ Woodin cardinals. It is also shown
that in $M_n$, all homogeneously Suslin sets of reals are
$\mathbf{\Delta}^1_{n+1}$.


title: Anisotropy in a Nonsingular Bounce

abstract:
  Following recent claims relative to the question of large anisotropy
production in regular bouncing scenarios, we study the evolution of such
anisotropies in a model where an Ekpyrotic phase of contraction is followed by
domination of a Galileon-type Lagrangian which generates a non-singular bounce.
We show that the anisotropies decrease during the phase of Ekpyrotic
contraction (as expected) and that they can be constrained to remain small
during the non-singular bounce phase (a non-trivial result). Specifically, we
derive the e-folding number of the phase of Ekpyrotic contraction which leads
to a present-day anisotropy in agreement with current observational bounds.


title: A comparison study of slow--subdiffusion and subdiffusion

abstract:
  We study slow-subdiffusion in comparison to subdiffusion. Both of the
processes are treated as random walks and can be described within continuous
time random walk formalism. However, the probability density of the waiting
time of a random walker to take its next step $\omega(t)$ is assumed over a
long time limit in the form $\omega(t)\sim 1/t^{\alpha+1}$ for subdiffusion,
and in the form $\omega(t)\sim h(t)/t$ for slow-subdiffusion [$h(t)$ is a
slowly varying function]. We show that Green functions for slow-subdiffusion
and subdiffusion can be very similar when the subdiffusion coefficient
$D_\alpha$ depends on time. This creates the possibility of describing
slow-subdiffusion by means of subdiffusion with a small value of the
subdiffusion parameter $\alpha$, and the subdiffusion coefficient $D_\alpha$
varying over time.


title:
Properties of the band gaps in one-dimensional ternary lossy photonic
  crystal containing double-negative materials

abstract:
  In this paper, theoretically, the characteristics matrix method is employed
to investigate and compare the properties of the band gaps of the
one-dimensional ternary and binary lossy photonic crystals which are composed
of double-negative and -positive materials. This study shows that by varying
the angle of incidence, the band gaps for TM and TE waves behave differently in
both ternary and binary lossy structures. The results demonstrate that by
increasing the angle of incidence for the TE wave, the width and the depth of
zero-n, zero-\mu, and Bragg gap increase in both ternary and binary structures.
On the other hand, the enhancement of the angle of incidence for the TM wave,
contributes to reduction of the width and the depth of the zero-n and Bragg
gaps, and they finally disappear for incidence angles greater than 50 and 60
for the binary structure, and 40 and 45 for the ternary structures,
respectively. In addition, the details of the edges of the band gaps variations
as a function of incidence angle for both structures are studied.


title: On a conjecture of A. Bikchentaev

abstract:
  In \cite{bik1}, A. M. Bikchentaev conjectured that for positive
$\tau-$measurable operators $a$ and $b$ affiliated with an arbitrary semifinite
von Neumann algebra $\mathcal M$, the operator $b^{1/2}ab^{1/2}$ is
submajorized by the operator $ab$ in the sense of Hardy-Littlewood. We prove
this conjecture in full generality and present a number of applications to
fully symmetric operator ideals, Golden-Thompson inequality and (singular)
traces.


title:
Non-degenerate Eulerian finite element method for solving PDEs on
  surfaces

abstract:
  The paper studies a method for solving elliptic partial differential
equations posed on hypersurfaces in $\mathbb{R}^N$, $N=2,3$. The method builds
upon the formulation introduced in Bertalmio et al., J. Comput. Phys., 174
(2001), 759--780., where a surface equation is extended to a neighborhood of
the surface. The resulting degenerate PDE is then solved in one dimension
higher, but can be solved on a mesh that is unaligned to the surface. We
introduce another extended formulation, which leads to uniformly elliptic
(non-degenerate) equations in a bulk domain containing the surface. We apply a
finite element method to solve this extended PDE and prove the convergence of
finite element solutions restricted to the surface to the solution of the
original surface problem. Several numerical examples illustrate the properties
of the method.


title: First evidence of Alfven wave activity in KSTAR plasmas

abstract:
  We report on first evidence of wave activity during neutral beam heating in
KSTAR plasmas: 40 kHz magnetic fluctuations with a toroidal mode number of n=1.
Our analysis suggests this a beta-induced Alfven eigenmode resonant with the
q=1 surface. A kinetic analysis, when coupled with electron temperature
measurements from electron cyclotron emission and ion/electron temperature
ratios from crystallography, enables calculation of the frequency evolution,
which is in agreement with observations. Complementary detailed MHD modelling
of the magnetic configuration and wave modes supports the BAE mode conclusion,
by locating an n=1 mode separated from the continuum in the core region.
Finally, we have computed the threshold to marginal stability for a range of
ion temperature profiles. These suggest the BAE can be driven unstable by
energetic ions when the ion temperature radial gradient is sufficiently large.
Our findings suggest that mode existence could be used as a form of inference
for temperature profile consistency in the radial interval of the mode, thereby
extending the tools of MHD spectroscopy.


title:
Topological Mott insulators of ultracold atomic mixtures induced by
  interactions in one-dimensional optical superlattices

abstract:
  We present exactly solvable examples that topological Mott insulators can
emerge from topologically trivial states due to strong interactions between
atoms for atomic mixtures trapped in one-dimensional optical superlattice
systems. The topological Mott insulating state is characterized by nonzero
Chern number and appears in the strongly interacting limit as long as the total
band filling factor is an integer, which is not sensitive to the filling of
each component. The topological nature of the Mott phase can be revealed by
observing the density profile of the trapped system. Our results can be also
generalized to the multi-component atomic systems.


title:
Character clusters for Lie algebra modules over a field of non-zero
  characteristic

abstract:
  For a Lie algebra L over an algebraically closed field of non-zero
characteristic, every finite-dimensional L-module can be decomposed into a
direct sum of submodules such that all composition factors of a summand have
the same character. Using the concept of a character cluster, this result is
generalised to fields which are not algebraically closed. Clusters are used to
generalise the construction of induced modules.


title: The anisotropic distribution of the interacting electrons

abstract:
  The distribution function for a system of interacting electrons in metals is
multivalent in a certain region of wave vectors. One solution among many is
isotropic. For other solutions the distribution of electrons over the wave
vectors is anisotropic. In the simplest case, the anisotropy arises as a result
of the repulsion between electrons in states with the wave vectors $\bf k$ and
$-\hh\bf k$.


title: Quantum master equation for a system of identical particles

abstract:
  We consider an open quantum many-particle system in which there are
dissipative processes. The evolution of this system is described by a kinetic
equation for the density matrix. From the equation describing a random Markov
process in this system, we obtain an equation for the single-particle
statistical operator. This equation describes the evolution of a system of
identical particles in a mean-field approximation. The equation for interacting
particles in thermodynamic equilibrium was obtained. The distribution function
of a system of interacting electrons in metals has multivalence in a certain
region of wave vectors. Among many solutions one is isotropic. Other solutions
have the anisotropy of the electron distribution over the wave vectors. The
anisotropy arises as a result of repulsion and attraction between electrons.


title:
Achieving Rapid Recovery in an Overload Control for Large-Scale Service
  Systems

abstract:
  We consider an automatic overload control for two large service systems
modeled as multi-server queues, such as call centers. We assume that the two
systems are designed to operate independently, but want to help each other
respond to unexpected overloads. The proposed overload control automatically
activates sharing (sending some customers from one system to the other) once a
ratio of the queue lengths in the two systems crosses an activation threshold
(with ratio and activation threshold parameters for each direction). To prevent
harmful sharing, sharing is allowed in only one direction at any time. In this
paper, we are primarily concerned with ensuring that the system recovers
rapidly after the overload is over, either (i) because the two systems return
to normal loading or (ii) because the direction of the overload suddenly shifts
in the opposite direction. To achieve rapid recovery, we introduce lower
thresholds for the queue ratios, below which one-way sharing is released. As a
basis for studying the complex dynamics, we develop a new six-dimensional fluid
approximation for a system with time-varying arrival rates, extending a
previous fluid approximation involving a stochastic averaging principle. We
conduct simulations to confirm that the new algorithm is effective for
predicting the system performance and choosing effective control parameters.
The simulation and the algorithm both show that the system can experience an
inefficient nearly-periodic behavior, corresponding to an oscillating
equilibrium (congestion collapse), if the sharing is strongly inefficient and
the control parameters are set inappropriately.


title:
EFIT tokamak equilibria with toroidal flow and anisotropic pressure
  using the two-temperature guiding-centre plasma

abstract:
  A new force balance model for the EFIT magnetohydrodynamic equilibrium
technique for tokamaks is presented which includes the full toroidal flow and
anisotropy changes to the Grad-Shafranov equation. The free functions are
poloidal flux functions and all non-linear contributions to the toroidal
current density are treated iteratively. The parallel heat flow approximation
chosen for the model is that parallel temperature is a flux function and that
both parallel and perpendicular pressures may be described using parallel and
perpendicular temperatures. This choice for the fluid thermodynamics has been
shown elsewhere to be the same as a guiding centre kinetic solution of the same
problem under the same assumptions. The model reduces identically to the static
and isotropic Grad-Shafranov equation in the appropriate limit as different
flux functions are set to zero. An analytical solution based on a modified
Soloviev solution for non-zero toroidal flow and anisotropy is also presented.
  The force balance model has been demonstrated in the code EFIT TENSOR, a
branch of the existing code EFIT++. Benchmark results for EFIT TENSOR are
presented and the more complicated force balance model is found to converge to
force balance similarly to the usual EFIT model and with comparable speed.


title:
Spectroscopy of the Double Minimum $3\,^3 \Pi_{\Omega}$ Electronic State
  of $^{39}$K$^{85}$Rb

abstract:
  We report the observation and analysis of the $3\,^3\Pi_{\Omega}$
double-minimum electronic excited state of $^{39}$K$^{85}$Rb. The spin-orbit
components ($0^{+}, 0^{-}, 1$ and 2) of this state are investigated based on
potentials developed from the available \emph{ab initio} potential curves. We
have assigned the vibrational levels $v'=2-11$ of the $3\,^3\Pi_{1,2}$
potentials and $v'=2-12$ of the $3\,^3\Pi_{0^{+/-}}$ potential. We compare our
experimental observations of the $3\,^3\Pi_{\Omega}$ state with predictions
based on theoretical potentials. The observations are based on resonance
enhanced multiphoton ionization (REMPI) of ultracold KRb in vibrational levels
$v"=14-25$ of the $a\,^3\Sigma^+$ state. These \emph{a}-state ultracold
molecules are formed by photoassociation of ultracold $^{39}$K and $^{85}$Rb
atoms to the 5(1) state of KRb followed by spontaneous emission to the \emph{a}
state.


title:
One-loop photon-photon scattering in a thermal, deconfining SU(2)
  Yang-Mills plasma

abstract:
  For a deconfining thermal SU(2) Yang-Mills plasma we discuss the role of
(anti)calorons in introducing non-thermal behavior effectively described in
terms of Planck's quantum of action $\hbar$. This non-thermality cancels
exactly between the ground-state estimate and its free quasiparticle
excitations. Kinematic constraints in 4-vertex scattering and the counting of
radial loop variables versus the number of independent constraints on them are
re-visited. Next, we consider thermal 2$\rightarrow$ 2 one-loop scattering of
the modes remaining massless upon the (anti)caloron induced adjoint Higgs
mechanism (thermal ground state after spatial coarse graining). Starting with
stringent analytical arguments, we are able to exclude the contribution to
photon-photon scattering from diagrams containing at least one three-vertex
and, in a next step, a vast majority of all possible configurations involving
two four-vertices. By numerical analysis we show that the remaining
contribution of the overall S channel is severely suppressed compared to that
of the T and U channels, meaning that the creation of a pair of massive vector
modes by a pair of photons and vice versa practically does not occur in the
Yang-Mills plasma. For the T and U channels the domain of loop integration
represents less than $10^{-7}$ times the volume of the unconstrained
integration region. The thus introduced photon-photon correlation should affect
the Cosmic Microwave Background's polarisation at low redshift. An adaption of
the here-developed methods to the analysis of irreducible bubble diagrams could
prove the conjecture of hep-th/0609033 on the termination of the loop expansion
of thermodynamical quantities at a finite irreducible order.


title:
Discrete gradient methods for preserving a first integral of an ordinary
  differential equation

abstract:
  In this paper we consider discrete gradient methods for approximating the
solution and preserving a first integral (also called a constant of motion) of
autonomous ordinary differential equations. We prove under mild conditions for
a large class of discrete gradient methods that the numerical solution exists
and is locally unique, and that for arbitrary $p \in \mathbb{N}$ we may
construct a method that is of order $p$. In the proofs of these results we also
show that the constants in the time step constraint and the error bounds may be
chosen independently from the distance to critical points of the first
integral. In the case when the first integral is quadratic, for arbitrary $p
\in \mathbb{N}$, we have devised a new method that is linearly implicit at each
time step and of order $p$. This new method has significant advantages in terms
of efficiency. We illustrate our theory with a numerical example.


title:
Spin-orbit-induced bound state and molecular signature of the degenerate
  Fermi gas in a narrow Feshbach resonance

abstract:
  In this paper we explore the spin-orbit-induced bound state and molecular
signature of the degenerate Fermi gas in a narrow Feshbach resonance based on a
generalized two-channel model. Without the atom-atom interactions, only one
bound state can be found even if spin-orbit coupling exists. Moreover, the
corresponding bound-state energy depends strongly on the strength of spin-orbit
coupling, but is influenced slightly by its type. In addition, we find that
when increasing the strength of spin-orbit coupling, the critical point at
which the molecular fraction vanishes shifts from zero to the negative
detuning. In the weak spin-orbit coupling, this shifting is proportional to the
square of its strength. Finally, we also show that the molecular fraction can
be well controlled by spin-orbit coupling.


title: Maxwellian quantum mechanics

abstract:
  Expanding the ordinary Dirac's equation in quaternionic form yields
Maxwell-like field equations. As in the Maxwell's formulation, the particle
fields are represented by a scalar, $\psi_0$ and a vector $\vec{\psi}$. The
analogy with Maxwell's equations requires that the inertial fields are
$\vec{E}_D=c^2\vec{\alpha}\times\vec{\psi}$, and
$\vec{B}_D=\vec{\alpha}\,\psi_0+c\beta\,\vec{\psi}$ and that
$\psi_0=-c\beta\,\vec{\alpha}\cdot\vec{\psi}$, where $\beta$, $\vec{\alpha}$
and $c$ are the Dirac matrices and the speed of light, respectively. An
alternative solution suggests that magnetic monopole-like behavior accompanies
Dirac's field. In this formulation, a field-like representation of Dirac's
particle is derived. It is shown that when the vector field of the particle,
$\vec{\psi}$, is normal to the vector $\vec{\alpha}$, Dirac's field represents
a medium with maximal conductivity. The energy flux (Poynting vector) of the
Dirac's fields is found to flow in opposite direction to the particle's motion.
A system of equivalently symmetrized Maxwell's equations is introduced. A
longitudinal (scalar) wave traveling at speed of light is found to accompany
magnetic charges flow. This wave is not affected by presence of electric
charges and currents. The Lorentz boost transformations of the matter fields
are equivalent to $c\vec{\psi}\,'
=c\vec{\psi}\pm\beta\vec{\alpha}\,\psi_0\,,\psi_0\,'=\psi_0\mp
c\beta\vec{\alpha}\cdot\vec{\psi}\,.$


title: The planetary spin and rotation period: A modern approach

abstract:
  Using a new approach, we have obtained a formula for calculating the rotation
period and radius of planets. In the ordinary gravitomagnetism the
gravitational spin ($S$) orbit ($L$) coupling, $\vec{L}\cdot\vec{S}\propto
L^2$, while our model predicts that $\vec{L}\cdot\vec{S}\propto
\frac{m}{M}\,L^2$, where $M$ and $m$ are the central and orbiting masses,
respectively.
  Hence, planets during their evolution exchange $L$ and $S$ until they reach a
final stability at which $MS\propto mL$, or $S\propto \frac{m^2}{v}$, where $v$
is the orbital velocity of the planet.
  Rotational properties of our planetary system and exoplanets are in agreement
with our predictions.
  The radius ($R$) and rotational period ($D$) of tidally locked planet at a
distance $a$ from its star, are related by, $D^2\propto
\sqrt{\frac{M}{m^3}}\,\,R^3$ and that $R\propto \sqrt{\frac{m}{M}}\,\, a$.$a$
from its star, are related by, $D^2\propto \sqrt{\frac{M}{m^3}} R^3$ and that
$R\propto \sqrt{\frac{m}{M}} a$.


title: Singlet-Assisted Supersymmetry Breaking For $Sp(2N)$ Theories

abstract:
  We investigate local supersymmetry-breaking vacua in s-confining theories
with gauge group $Sp(2N)$. By adapting the general recipe developed by Shadmi
and Shirman, we construct a realistic model based on dynamics of SQCD coupled
with singlets which allows a spontaneously broken supersymmetry. Since the
chiral superfields in model have R-charges R=0 and R=2 only, the tedious
computations of Coleman-Weinberg potential can be greatly alleviated from the
lesson of David Shih. We observe that the pseudomoduli fields are stabilized at
the origin of moduli space at one-loop order with calculability being
preserved.


title: Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions

abstract:
  We consider a family of Cuntz-Pimsner algebras associated to self-similar
group actions, and their Toeplitz analogues. Both families carry natural
dynamics implemented by automorphic actions of the real line, and we
investigate the equilibrium states (the KMS states) for these dynamical
systems.
  We find that for all inverse temperatures above a critical value, the KMS
states on the Toeplitz algebra are given, in a very concrete way, by traces on
the full group algebra of the group. At the critical inverse temperature, the
KMS states factor through states of the Cuntz-Pimsner algebra; if the
self-similar group is contracting, then the Cuntz-Pimsner algebra has only one
KMS state. We apply these results to a number of examples, including the
self-similar group actions associated to integer dilation matrices, and the
canonical self-similar actions of the basilica group and the Grigorchuk group.


title: Practical Bijective S-box Design

abstract:
  We construct 8 x 8 bijective cryptographically strong S-boxes. Our
construction is based on using non-bijective power functions over the finite
filed.


title: Selmer groups as flat cohomology groups

abstract:
  Given a prime number $p$, Bloch and Kato showed how the $p^\infty$-Selmer
group of an abelian variety $A$ over a number field $K$ is determined by the
$p$-adic Tate module. In general, the $p^m$-Selmer group $\mathrm{Sel}_{p^m} A$
need not be determined by the mod $p^m$ Galois representation $A[p^m]$; we
show, however, that this is the case if $p$ is large enough. More precisely, we
exhibit a finite explicit set of rational primes $\Sigma$ depending on $K$ and
$A$, such that $\mathrm{Sel}_{p^m} A$ is determined by $A[p^m]$ for all $p \not
\in \Sigma$. In the course of the argument we describe the flat cohomology
group $H^1_{\mathrm{fppf}}(O_K, \mathcal{A}[p^m])$ of the ring of integers of
$K$ with coefficients in the $p^m$-torsion $\mathcal{A}[p^m]$ of the N\'{e}ron
model of $A$ by local conditions for $p\not\in \Sigma$, compare them with the
local conditions defining $\mathrm{Sel}_{p^m} A$, and prove that
$\mathcal{A}[p^m]$ itself is determined by $A[p^m]$ for such $p$. Our method
sharpens the known relationship between $\mathrm{Sel}_{p^m} A$ and
$H^1_{\mathrm{fppf}}(O_K, \mathcal{A}[p^m])$ and continues to work for other
isogenies $\phi$ between abelian varieties over global fields provided that
$\mathrm{deg} \phi$ is constrained appropriately. To illustrate it, we exhibit
resulting explicit rank predictions for the elliptic curve $11A1$ over certain
families of number fields.


title: On the Q construction for exact quasicategories

abstract:
  We prove that the K-theory of an exact quasicategory can be computed via a
higher categorical variant of the Q construction. This construction yields a
quasicategory whose weak homotopy type is a delooping of the K-theory space. We
show that the direct sum endows this homotopy type with the structure of a
infinite loop space, which agrees with the canonical one. Finally, we prove a
proto-devissage result, which gives a necessary and sufficient condition for a
"nilimmersion" of stable quasicategories to be a K-theory equivalence. In
particular, we prove that a well-known conjecture of Ausoni and Rognes is
equivalent to the weak contractibility of a particular quasicategory.


title: Acceleration of the cosmic expansion induced by symmetry breaking

abstract:
  It is proved that in order to obtain a model of the accelerated cosmic
expansion the thing one only need to do is to add a perturbation term to the
Einstein-Hilbert Lagrangian. This term leads to some symmetry breaking terms in
the fields equation, which makes the cosmic expansion accelerating. A vacuum de
Sitter solution is obtained. A new explanation of the acceleration of the
cosmic expansion is presented. In this model the changing of the expansion from
decelerating to accelerating is an intrinsic property of the universe without
need of an exotic dark energy. The acceleration of the cosmic expansion is
induced by the symmetry breaking perturbation of the gravitational energy. The
cosmological constant problem, the coincidence problem and the problem of
phantom divide line crossing are naturally solved. The results of the model are
roughly consistent with the observations.


title: ALE Ricci-flat Kahler surfaces and weighted projective spaces

abstract:
  We show that the explicit ALE Ricci-flat Kahler metrics constructed by
Eguchi-Hanson, Gibbons-Hawking, Hitchin and Kronheimer, and their free
quotients are metrics obtained by Tian-Yau techniques. The proof relies on a
construction of good compactifications of Q-Gorenstein deformations of quotient
surface singularities as log del Pezzo surfaces with only cyclic quotient
singularities at infinity.


title: Relay Augmentation for Lifetime Extension of Wireless Sensor Networks

abstract:
  We propose a novel relay augmentation strategy for extending the lifetime of
a certain class of wireless sensor networks. In this class sensors are located
at fixed and pre-determined positions and all communication takes place via
multi-hop paths in a fixed routing tree rooted at the base station. It is
assumed that no accumulation of data takes place along the communication paths
and that there is no restriction on where additional relays may be located.
Under these assumptions the optimal extension of network lifetime is modelled
as the Euclidean $k$-bottleneck Steiner tree problem. Only two approximation
algorithms for this NP-hard problem exist in the literature: a minimum spanning
tree heuristic (MSTH) with performance ratio 2, and a probabilistic 3-regular
hypergraph heuristic (3RHH) with performance ratio $\sqrt{3}+\epsilon$. We
present a new iterative heuristic that incorporates MSTH and show via
simulation that our algorithm performs better than MSTH in extending lifetime,
and outperforms 3RHH in terms of efficiency.


title:
Duality and Optimization for Generalized Multi-hop MIMO
  Amplify-and-Forward Relay Networks with Linear Constraints

abstract:
  We consider a generalized multi-hop MIMO amplify-and-forward (AF) relay
network with multiple sources/destinations and arbitrarily number of relays. We
establish two dualities and the corresponding dual transformations between such
a network and its dual, respectively under single network linear constraint and
per-hop linear constraint. The result is a generalization of the previous
dualities under different special cases and is proved using new techniques
which reveal more insight on the duality structure that can be exploited to
optimize MIMO precoders. A unified optimization framework is proposed to find a
stationary point for an important class of non-convex optimization problems of
AF relay networks based on a local Lagrange dual method, where the primal
algorithm only finds a stationary point for the inner loop problem of
maximizing the Lagrangian w.r.t. the primal variables. The input covariance
matrices are shown to satisfy a polite water-filling structure at a stationary
point of the inner loop problem. The duality and polite water-filling are
exploited to design fast primal algorithms. Compared to the existing
algorithms, the proposed optimization framework with duality-based primal
algorithms can be used to solve more general problems with lower computation
cost.


title:
Optimal Coding Functions for Pairwise Message Sharing on Finite-Field
  Multi-Way Relay Channels

abstract:
  This paper considers the finite-field multi-way relay channel with pairwise
message sharing, where multiple users exchange messages through a single relay
and where the users may share parts of their source messages (meaning that some
message parts are known/common to more than one user). In this paper, we design
an optimal functional-decode-forward coding scheme that takes the shared
messages into account. More specifically, we design an optimal function for the
relay to decode (from the users on the uplink) and forward (back to the users
on the downlink). We then show that this proposed function-decode-forward
coding scheme can achieve the capacity region of the finite-field multi-way
relay channel with pairwise message sharing. This paper generalizes our
previous result for the case of three users to any number of users.


title:
Energy and potential enstrophy flux constraints in quasi-geostrophic
  models

abstract:
  We investigate an inequality constraining the energy and potential enstrophy
flux spectra in two-layer and multi-layer quasi-geostrophic models. Its
physical significance is that it can diagnose whether any given multi-layer
model that allows co-existing downscale cascades of energy and potential
enstrophy can allow the downscale energy flux to become large enough to yield a
mixed energy spectrum where the dominant $k^{-3}$ scaling is overtaken by a
subdominant $k^{-5/3}$ contribution beyond a transition wavenumber $k_t$
situated in the inertial range. The validity of the flux inequality implies
that this scaling transition cannot occur within the inertial range, whereas a
violation of the flux inequality beyond some wavenumber $k_t$ implies the
existence of a scaling transition near that wavenumber. This flux inequality
holds unconditionally in two-dimensional Navier-Stokes turbulence, however, it
is far from obvious that it continues to hold in multi-layer quasi-geostrophic
models, because the dissipation rate spectra for energy and potential enstrophy
no longer relate in a trivial way, as in two-dimensional Navier-Stokes. We
derive the general form of the energy and potential enstrophy dissipation rate
spectra for a generalized symmetrically coupled multi-layer model. From this
result, we prove that in a symmetrically coupled multi-layer quasi-geostrophic
model, where the dissipation terms for each layer consist of the same
Fourier-diagonal linear operator applied on the streamfunction field of only
the same layer, the flux inequality continues to hold. It follows that a
necessary condition to violate the flux inequality is the use of asymmetric
dissipation where different operators are used on different layers. etc.


title:
Physical Channel Access (PCA): Time and Frequency Access Methods
  Emulation in NS-2

abstract:
  We present an NS-2 module, Physical Channel Access (PCA), to simulate
different access methods on a link shared with Multi-Frequency Time Division
Multiple Access (MF-TDMA). This tech- nique is widely used in various network
technologies, such as satellite communication. In this context, different
access methods at the gateway induce different queuing delays and available
capacities, which strongly impact transport layer performance. Depending on QoS
requirements, design of new congestion and flow control mechanisms and/or
access methods requires evaluation through simulations.
  PCA module emulates the delays that packets will experience using the shared
link, based on descriptive parameters of lower layers characteris- tics. Though
PCA has been developed with DVB-RCS2 considerations in mind (for which we
present a use case), other MF-TDMA-based appli- cations can easily be simulated
by adapting input parameters. Moreover, the presented implementation details
highlight the main methods that might need modifications to implement more
specific functionality or emulate other similar access methods (e.g., OFDMA).


title: A Model of Two-Way Selection System for Human Behavior

abstract:
  We propose a model of two-way selection system. It appears in the processes
like choosing a mate between men and women, making contracts between job
hunters and recruiters, and trading between buyers and sellers. In this paper,
we propose a model of two-way selection system, and present its analytic
solution for the expectation of successful matching total and the regular
pattern that the matching rate trends toward an inverse proportion to either
the ratio between the two sides or the ratio of the state total to the smaller
people number. The proposed model is verified by empirical data of the
matchmaking fairs. Results indicate that the model well predicts this typical
real-world two- way selection behavior to the bounded error extent, thus it is
helpful for understanding the dynamics mechanism of the real-world two-way
selection system.


title: On the origin and evolution of icicle ripples

abstract:
  Natural icicles often exhibit ripples about their circumference which are due
to a morphological instability. We present an experimental study that explores
the origin of the instability, using laboratory-grown icicles. Contrary to
theoretical expectations, icicles grown from pure water do not exhibit growing
ripples. The addition of a non-ionic surfactant, which reduces the surface
tension, does not produce ripples. Instead, ripples emerge on icicles grown
from water with dissolved ionic impurities. We find that even very small levels
of impurity are sufficient to trigger ripples, and that the growth speed of the
ripples increases very weakly with ionic concentration.

categories: nlin.PS cond-mat.soft physics.flu-dyn physics.pop-ph


title: AFGL 5157 NH$_3$: A new stellar cluster in the forming

abstract:
  We present the analysis of Spitzer/IRAC and NIR imaging observation of AFGL
5157, an active star forming region. In the IRAC images, this region shows
strong PAH emissions in channel 4 and H$_2$ emissions in channel 2. Many of the
H$_2$ features are aligned to form jet-like structures. Three bipolar jets in
the NH$_3$ core region and a couple of jets northwest of the core have been
identified. We identify the possible driving agents of the bipolar jets and
show them to be very young. An embedded cluster has been detected in the NH$_3$
core; many members in the cluster show their SEDs increasing from JHK bands
toward longer wavelength, indicative of their early evolutionary stages.
Millimeter and sub-millimeter continuum emissions are found to coincide
spatially with these presumable Class 0/I sources, in the NH$_3$ core and the
NW subregion. The existence of H$_2$ bipolar jets and very young stellar
objects suggests that star formation is still going on at present epoch in
these subregions. Combining the information from previous studies, we propose a
sequential star formation scenario in the whole AFGL 5157 region.


title: Invariant means for the wobbling group

abstract:
  Given a metric space $(X,d)$, the wobbling group of $X$ is the group of
bijections $g:X\rightarrow X$ satisfying $\sup\limits_{x\in X}
d(g(x),x)<\infty$. We study algebraic and analytic properties of $W(X)$ in
relation with the metric space structure of $X$, such as amenability of the
action of the lamplighter group $ \bigoplus_{X} \mathbf Z/2\mathbf Z \rtimes
W(X)$ on $\bigoplus_{X} \mathbf Z/2\mathbf Z$ and property (T).


title: Some Numerical Results For Ito Equation

abstract:
  By the method of invariant manifold, we investigate the Ito equation
numerically with high precision. By the numerical results, we can completely
determine the form of analytic soliton solutions for the Ito equation. In fact,
by the numerical data we have succeeded in deciding the analytic form of the
$\tau$-function, which is more general than the old assumptions. This may
suggest that we should think more deeply about what the soliton is.


title:
Throughput Optimizing Localized Link Scheduling for Multihop Wireless
  Networks Under Physical Interference Model

abstract:
  We study throughput-optimum localized link scheduling in wireless networks.
The majority of results on link scheduling assume binary interference models
that simplify interference constraints in actual wireless communication. While
the physical interference model reflects the physical reality more precisely,
the problem becomes notoriously harder under the physical interference model.
There have been just a few existing results on link scheduling under the
physical interference model, and even fewer on more practical distributed or
localized scheduling. In this paper, we tackle the challenges of localized link
scheduling posed by the complex physical interference constraints. By
cooperating the partition and shifting strategies into the pick-and-compare
scheme, we present a class of localized scheduling algorithms with provable
throughput guarantee subject to physical interference constraints. The
algorithm in the linear power setting is the first localized algorithm that
achieves at least a constant fraction of the optimal capacity region subject to
physical interference constraints. The algorithm in the uniform power setting
is the first localized algorithm with a logarithmic approximation ratio to the
optimal solution. Our extensive simulation results demonstrate correctness and
performance efficiency of our algorithms.


title:
A comparative study of optical/ultraviolet variability of narrow-line
  Seyfert 1 and broad-line Seyfert 1 active galactic nuclei

abstract:
  The ensemble optical/ultraviolet variability of narrow-line Seyfert 1 (NLS1)
type active galactic nuclei (AGNs) is investigated, based on a sample selected
from the Sloan Digital Sky Survey (SDSS) Stripe-82 region with multi-epoch
photometric scanning data. As a comparison a control sample of broad-line
Seyfert 1 (BLS1) type AGNs is also incorporated. To quantify properly the
intrinsic variation amplitudes and their uncertainties, a novel method of
parametric maximum-likelihood is introduced, that has, as we argued, certain
virtues over previously used methods. The majority of NLS1-type AGNs exhibit
significant variability on timescales from about ten days to a few years with,
however, on average smaller amplitudes compared to BLS1-type AGNs. About 20
NLS1- type AGNs showing relatively large variations are presented, that may
deserve future monitoring observations, for instance, reverberation mapping.
The averaged structure functions of variability, constructed using the same
maximumlikelihood method, show remarkable similarity in shape for the two types
of AGNs on timescales longer than about 10 days, which can be approximated by a
power-law or an exponential function. This, along with other similar
properties, such as the wavelength-dependent variability, are indicative of a
common dominant mechanism responsible for the long-term optical/UV variability
of both NLS1- and BLS1-type AGNs. Towards the short timescales, however, there
is tentative evidence that the structure function of NLS1-type AGNs continues
declining, whereas that of BLS1-type AGNs flattens with some residual
variability on timescales of days. If this can be confirmed, it may suggest
that an alternative mechanism, such as X-ray reprocessing, starts to become
dominating in BLS1-type AGNs, but not in NLS1-, on such timescales.