title:
A Precision Measurement of Charm Dimuon Production in Neutrino
  Interactions from the NOMAD Experiment

abstract:
  We present our new measurement of the cross-section for charm dimuon
production in neutrino-iron interactions based upon the full statistics
collected by the NOMAD experiment. After background subtraction we observe
15,344 charm dimuon events, providing the largest sample currently available.
The analysis exploits the large inclusive charged current sample - about
$9\times 10^6$ events after all analysis cuts - and the high resolution NOMAD
detector to constrain the total systematic uncertainty on the ratio of charm
dimuon to inclusive Charged Current (CC) cross-sections to $\sim 2%$. We also
perform a fit to the NOMAD data to extract the charm production parameters and
the strange quark sea content of the nucleon within the NLO QCD approximation.
We obtain a value of $m_c(m_c)=1.159\pm0.075$ GeV/c$^2$ for the running mass of
the charm quark in the $\bar{\rm MS}$ scheme and a strange quark sea
suppression factor of $\kappa_s = 0.591 \pm 0.019$ at $Q^2=20$ GeV$^2$/c$^2$.


title:
Almost Optimal Channel Access in Multi-Hop Networks With Unknown Channel
  Variables

abstract:
  We consider distributed channel access in multi-hop cognitive radio networks.
Previous works on opportunistic channel access using multi-armed bandits (MAB)
mainly focus on single-hop networks that assume complete conflicts among all
secondary users. In the multi-hop multi-channel network settings studied here,
there is more general competition among different communication pairs. We
formulate the problem as a linearly combinatorial MAB problem that involves a
maximum weighted independent set (MWIS) problem with unknown weights which need
to learn. Existing methods for MAB where each of $N$ nodes chooses from $M$
channels have exponential time and space complexity $O(M^N)$, and poor
theoretical guarantee on throughput performance. We propose a distributed
channel access algorithm that can achieve $1/\rho$ of the optimum averaged
throughput where each node has communication complexity $O(r^2+D)$ and space
complexity $O(m)$ in the learning process, and time complexity $O(D
m^{\rho^r})$ in strategy decision process for an arbitrary wireless network.
Here $\rho=1+\epsilon$ is the approximation ratio to MWIS for a local $r$-hop
network with $m<N$ nodes,and $D$ is the number of mini-rounds inside each round
of strategy decision. For randomly located networks with an average degree $d$,
the time complexity is $O(d^{\rho^r})$.


title:
Effect of incommensurate disorder on the resonant tunneling through
  Majorana bound states on the topological superconductor chains

abstract:
  We study the transport through the Kitaev's chain with incommensurate
potentials coupled to two normal leads by the numerical operator method. We
find a quantized linear conductance of $e^2/h$, which is independent to the
disorder strength and the gate voltage in a wide range, signaling the Majorana
bound states. While the incommensurate disorder suppresses the current at
finite voltage bias, and then narrows the linear response regime of the $I-V$
curve which exhibits two plateaus corresponding to the superconducting gap and
the band edge respectively. The linear conductance abruptly drops to zero as
the disorder strength reaches the critical value $2+2\Delta$ with $\Delta$ the
p-wave pairing amplitude, corresponding to the transition from the topological
superconducting phase to the Anderson localized phase. Changing the gate
voltage will also cause an abrupt drop of the linear conductance by driving the
chain into the topologically trivial superconducting phase, whose $I-V$ curve
exhibits an exponential shape.


title:
Simulations of isolated dwarf galaxies formed in dark matter halos with
  different mass assembly histories

abstract:
  We present high-resolution N-body/hydrodynamics simulations of dwarf galaxies
formed in isolated CDM halos with the same virial mass, Mv~2.5x10^10 Msun at
z=0, in order to (1) study the mass assembly histories (MAHs) of the halo,
stars, and gas components, and (2) explore the effects of the halo MAHs on the
stellar/baryonic assembly of the simulated dwarfs and on their z~0 properties.
Overall, the simulated dwarfs are roughly consistent with observations. Our
main results are: a) The stellar-to-halo mass ratio is ~0.01 and remains
roughly constant since z~1 (the stellar MAHs follow closely the halo MAHs),
with a smaller value at higher z's for those halos that assemble their mass
later. b) The evolution of the galaxy gas fraction, fg, is episodic and higher,
most of the time, than the stellar fraction. When fg decreases (increases), the
gas fraction in the halo typically increases (decreases), showing that the SN
driven outflows play an important role in regulating the gas fractions -and
hence the SFR- of the dwarfs. However, in most cases, an important fraction of
the gas escapes the virial radius, Rv; at z=4 the total baryon fraction inside
Rv is 1.5-2 times smaller than the universal one, while at z=0 is 2-6 times
smaller, with the earlier assembled halos ejecting more gas. c) The SF
histories are episodic with changes in the SFRs of factors 2-10 on average. d)
Although the dwarfs formed in late assembled halos show more extended SF
histories, their z~0 SFRs are still below the ones measured for local isolated
dwarfs. e) The effects of baryons on Mv are such that at almost any time Mv is
10-20% smaller than the corresponding Mv obtained in pure N-body simulations.
Our results suggest that rather than increasing the strength of the SN-driven
outflows, processes that reduce the SF efficiency even more will help to solve
the potential issues faced by the CDM-based simulations of dwarfs.


title:
A new algorithm for calculating the curvature perturbations in
  stochastic inflation

abstract:
  We propose a new approach for calculating the curvature perturbations
produced during inflation in the stochastic formalism. In our formalism, the
fluctuations of the e-foldings are directly calculated without perturbatively
expanding the inflaton field and they are connected to the curvature
perturbations by the $\delta N$ formalism. The result automatically includes
the contributions of the higher order perturbations because we solve the
equation of motion non-perturbatively. In this paper, we analytically prove
that our result (the power spectrum and the nonlinearity parameter) is
consistent with the standard result in single field slow-roll inflation. We
also describe the algorithm for numerical calculations of the curvature
perturbations in more general inflation models.


title: The Conducting Channel at the LaAlO$_3$/SrTiO$_3$ Interface

abstract:
  Localization of electrons in the two-dimensional electron gas at the
LaAlO$_3$/SrTiO$_3$ interface is investigated by varying the channel thickness
in order to establish the nature of the conducting channel. Layers of SrTiO$_3$
were grown on NdGaO$_3$ (110) substrates and capped with LaAlO$_3$. When the
SrTiO$_3$ thickness is $\leq 6$ unit cells, most electrons at the interface are
localized, but when the number of SrTiO$_3$ layers is 8-16, the free carrier
density approaches $3.3 \times 10^{14}$ cm$^{-2}$, the value corresponding to
charge transfer of 0.5 electron per unit cell at the interface. The number of
delocalized electrons decreases again when the SrTiO$_3$ thickness is $\geq 20$
unit cells. The $\sim{4}$ nm conducting channel is therefore located
significantly below the interface. The results are explained in terms of
Anderson localization and the position of the mobility edge with respect to the
Fermi level.


title: Computer emulation with non-stationary Gaussian processes

abstract:
  Gaussian process (GP) models are widely used to emulate propagation
uncertainty in computer experiments. GP emulation sits comfortably within an
analytically tractable Bayesian framework. Apart from propagating uncertainty
of the input variables, a GP emulator trained on finitely many runs of the
experiment also offers error bars for response surface estimates at unseen
input values. This helps select future input values where the experiment should
be run to minimize the uncertainty in the response surface estimation. However,
traditional GP emulators use stationary covariance functions, which perform
poorly and lead to sub-optimal selection of future input points when the
response surface has sharp local features, such as a jump discontinuity or an
isolated tall peak. We propose an easily implemented non-stationary GP
emulator, based on two stationary GPs, one nested into the other, and
demonstrate its superior ability in handling local features and selecting
future input points from the boundaries of such features.


title:
Online and stochastic Douglas-Rachford splitting method for large scale
  machine learning

abstract:
  Online and stochastic learning has emerged as powerful tool in large scale
optimization. In this work, we generalize the Douglas-Rachford splitting (DRs)
method for minimizing composite functions to online and stochastic settings (to
our best knowledge this is the first time DRs been generalized to sequential
version). We first establish an $O(1/\sqrt{T})$ regret bound for batch DRs
method. Then we proved that the online DRs splitting method enjoy an $O(1)$
regret bound and stochastic DRs splitting has a convergence rate of
$O(1/\sqrt{T})$. The proof is simple and intuitive, and the results and
technique can be served as a initiate for the research on the large scale
machine learning employ the DRs method. Numerical experiments of the proposed
method demonstrate the effectiveness of the online and stochastic update rule,
and further confirm our regret and convergence analysis.


title: Piecewise linear and Boolean models of chemical reaction networks

abstract:
  Models of biochemical networks are frequently high-dimensional and complex.
Reduction methods that preserve important dynamical properties are therefore
essential in their study. Interactions between the nodes in such networks are
frequently modeled using a Hill function, $x^n/(J^n+x^n)$. Reduced ODEs and
Boolean networks have been studied extensively when the exponent $n$ is large.
However, the case of small constant $J$ appears in practice, but is not well
understood. In this paper we provide a mathematical analysis of this limit, and
show that a reduction to a set of piecewise linear ODEs and Boolean networks
can be mathematically justified. The piecewise linear systems have closed form
solutions that closely track those of the fully nonlinear model. On the other
hand, the simpler, Boolean network can be used to study the qualitative
behavior of the original system. We justify the reduction using geometric
singular perturbation theory and compact convergence, and illustrate the
results in networks modeling a genetic switch and a genetic oscillator.


title:
A three-component Camassa-Holm system with cubic nonlinearity and
  peakons

abstract:
  In this paper, we propose a three-component Camassa-Holm (3CH) system with
cubic nonlinearity and peakons. The 3CH model is proven integrable in the sense
of Lax pair, Hamiltonian structure, and conservation laws. We show that this
system admits peaked soliton (peakon) and multi-peakon solutions. Additionally,
reductions of the 3CH system are investigated so that a new integrable
perturbed CH equation with cubic nonlinearity is generated to possess peakon
solutions.


title:
Confirmation Via the Continuum-Fitting Method that the Spin of the Black
  Hole in Cygnus X-1 is Extreme

abstract:
  In Gou et al. (2011), we reported that the black hole primary in the X-ray
binary Cygnus X-1 is a near-extreme Kerr black hole with a spin parameter
a*>0.95(3{\sigma}). We confirm this result while setting a new and more
stringent limit: a*>0.983 at the 3{\sigma}(99.7%) level of confidence. The
earlier work, which was based on an analysis of all three useful spectra that
were then available, was possibly biased by the presence in these spectra of a
relatively strong Compton power-law component: The fraction of the thermal seed
photons scattered into the power law was f_s=23-31%, while the upper limit for
reliable application of the continuum-fitting method is f_s<25%. We have
subsequently obtained six additional spectra of Cygnus X-1 suitable for the
measurement of spin. Five of these spectra are of high quality with f_s in the
range 10% to 19%, a regime where the continuum-fitting method has been shown to
deliver reliable results. Individually, the six spectra give lower limits on
the spin parameter that range from a*>0.95 to a*>0.98, allowing us to
conservatively conclude that the spin of the black hole is a*>0.983
(3{\sigma}).


title:
Matching Demand with Supply in the Smart Grid using Agent-Based
  Multiunit Auction

abstract:
  Recent work has suggested reducing electricity generation cost by cutting the
peak to average ratio (PAR) without reducing the total amount of the loads.
However, most of these proposals rely on consumer's willingness to act. In this
paper, we propose an approach to cut PAR explicitly from the supply side. The
resulting cut loads are then distributed among consumers by the means of a
multiunit auction which is done by an intelligent agent on behalf of the
consumer. This approach is also in line with the future vision of the smart
grid to have the demand side matched with the supply side. Experiments suggest
that our approach reduces overall system cost and gives benefit to both
consumers and the energy provider.


title:
The Gamma Transitions, Level Densities and Gamma Strength Function of
  Isotopes Yb-172 and Sm-153

abstract:
  This report is presented the level densities and gamma strength function
which is extracted from primary gamma transitions of (n,2g) measurement on the
Dalat Nuclear Research Reactor (DNRR). The comparisons with others results and
model calculations, there are outside the scope of uncertainty. These research
results are showed that having of complement research for deformed nucleus in
order to evaluate nuclear structure models.


title: Approximations of potentials through the truncation of their inverses

abstract:
  The inverse of an $\infty \times \infty$ symmetric band matrix can be
constructed in terms of a matrix continued fraction. For Hamiltonians with
Coulomb plus polynomial potentials, this results in an exact and analytic
Green's operator which, even in finite-dimensional representation, exhibits the
exact spectrum. In this work we propose a finite dimensional representation for
the potential operator such that it retains some information about the whole
Hilbert-space representation. The potential should be represented in a larger
basis, then the matrix should be inverted, then truncated to the desired size,
and finally inverted again. This procedure results in a superb low-rank
representation of the potential operator. The method is illustrated with a
typical nucleon-nucleon potential.


title: On the Zero-freeness of Tall Multirate Linear Systems

abstract:
  In this paper, tall discrete-time linear systems with multirate outputs are
studied. In particular, we focus on their zeros. In systems and control
literature zeros of multirate systems are defined as those of their
corresponding time-invariant blocked systems. Hence, the zeros of tall blocked
systems resulting from blocking of linear systems with multirate outputs are
mainly explored in this work. We specifically investigate zeros of tall blocked
systems formed by blocking tall multirate linear systems with generic parameter
matrices. It is demonstrated that tall blocked systems generically have no
finite nonzero zeros; however, they may have zeros at the origin or at infinity
depending on the choice of blocking delay and the input, state and output
dimensions.


title: Algebraic study on Cameron-Walker graphs

abstract:
  Let $G$ be a finite simple graph on $[n]$ and $I(G) \subset S$ the edge ideal
of $G$, where $S = K[x_{1}, \ldots, x_{n}]$ is the polynomial ring over a field
$K$. Let $m(G)$ denote the maximum size of matchings of $G$ and $im(G)$ that of
induced matchings of $G$. It is known that $im(G) \leq \text{reg}(S/I(G)) \leq
m(G)$, where $\text{reg}(S/I(G))$ is the Castelnuovo-Mumford regularity of
$S/I(G)$. Cameron and Walker succeeded in classifying the finite connected
simple graphs $G$ with $im(G) = m(G)$. We say that a finite connected simple
graph $G$ is a Cameron-Walker graph if $im(G) = m(G)$ and if $G$ is neither a
star nor a star triangle. In the present paper, we study Cameron-Walker graphs
from a viewpoint of commutative algebra. First, we prove that a Cameron-Walker
graph $G$ is unmixed if and only if $G$ is Cohen-Macaulay and classify all
Cohen-Macaulay Cameron-Walker graphs. Second, we prove that there is no
Gorenstein Cameron-Walker graph. Finally, we prove that every Cameron--Walker
graph is sequentially Cohen-Macaulay.


title: Two populations of gamma-ray burst radio afterglows

abstract:
  The detection rate of gamma-ray burst (GRB) afterglows is only ~30% at radio
wavelengths, much lower than in the X-ray (~95%) or optical (~70%) bands. The
cause of this low radio detection rate has previously been attributed to
limited observing sensitivity. We use visibility stacking to test this idea,
and conclude that the low detection rate is instead due to two intrinsically
different populations of GRBs, radio bright and radio faint. We calculate that
no more than 70% of GRB afterglows are truly radio bright, leaving a
significant population of GRBs that lack a radio afterglow. These radio bright
GRBs have higher gamma-ray fluence, isotropic energies, X-ray fluxes and
optical fluxes than the radio faint GRBs, confirming the existence of two
physically distinct populations. We suggest that the gamma-ray efficiency of
the prompt emission is responsible for the difference between the two
populations. We also discuss the implications for future radio and optical
surveys.


title:
Synthesizing Multiple Boolean Functions using Interpolation on a Single
  Proof

abstract:
  It is often difficult to correctly implement a Boolean controller for a
complex system, especially when concurrency is involved. Yet, it may be easy to
formally specify a controller. For instance, for a pipelined processor it
suffices to state that the visible behavior of the pipelined system should be
identical to a non-pipelined reference system (Burch-Dill paradigm). We present
a novel procedure to efficiently synthesize multiple Boolean control signals
from a specification given as a quantified first-order formula (with a specific
quantifier structure). Our approach uses uninterpreted functions to abstract
details of the design. We construct an unsatisfiable SMT formula from the given
specification. Then, from just one proof of unsatisfiability, we use a variant
of Craig interpolation to compute multiple coordinated interpolants that
implement the Boolean control signals. Our method avoids iterative learning and
back-substitution of the control functions. We applied our approach to
synthesize a controller for a simple two-stage pipelined processor, and present
first experimental results.


title: The signatures of new physics, astrophysics and cosmology?

abstract:
  The first three years of the LHC experiments at CERN have ended with "the
nightmare scenario": all tests, confirm the Standard Model of Particles so well
that theorists must search for new physics without any experimental guidance.
The supersymmetric theories, a privileged candidate for new physics are nearly
excluded. As a potential escape from the crisis, we propose thinking about a
series of astonishing relations suggesting fundamental interconnections between
the quantum world and the large scale Universe. It seems reasonable that, for
instance, the equation relating a quark-antiquark pair with the fundamental
physical constants and cosmological parameters must be a sign of new physics.
One of the intriguing possibilities is interpreting our relations as a
signature of the quantum vacuum containing the virtual gravitational dipoles.


title:
The transition probability and the probability for the left-most
  particle's position of the q-TAZRP

abstract:
  We treat the $N$-particle ZRP whose jumping rates satisfy a certain
condition. This condition is required to use the Bethe ansatz and the resulting
model is the $q$-boson model that appeared in [J. Phys. A, \textbf{31}
6057--6071 (1998)] by Sasamoto and Wadati or the $q$-TAZRP in \textit{MacDonald
processes} by Borodin and Corwin. We find the explicit formula of the
transition probability of the $q$-TAZRP via the Bethe ansatz. By using the
transition probability we find the probability distribution of the left-most
particle's position at time $t$. To find the probability for the left-most
particle's position we find a new identity corresponding to Tracy and Widom's
identity for the ASEP in [Commun. Math. Phys., \textbf{279} 815--844 (2008)].
For the initial state that all particles occupy a single site, the probability
distribution of the left-most particle's position at time $t$ is represented by
the contour integral of a determinant.

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


title: Bound orbits and gravitational theory

abstract:
  It can be easily shown that bound orbits around a static source can exist
only in 4 dimension and in none else for any long range force. This is so not
only for Maxwell's electromagnetic and Newton's gravity but also for Einstein's
gravitation theory. In contrast to Maxwell's electrodynamics and Newton's
gravity, GR has a natural higher dimensional generalization in Lovelock gravity
which remarkably admits bound orbits around a static black hole in all even
d=2N+2 dimensions where $N$ is degree of Lovelock polynomial action. This is as
general a result as Bertrand's theorem of classical mechanics in which
existence of closed orbits uniquely singles out the inverse square law for a
long range central force.


title: Probing top-partners in Higgs + jets

abstract:
  Fermionic top-partners arise in models such as Composite Higgs and Little
Higgs. They modify Higgs properties, in particular how the Higgs couples to top
quarks. Alas, there is a low-energy cancellation acting in the coupling of the
Higgs boson to gluons and photons. As a result of this cancellation, no
information about the spectrum and couplings of the top-partners can be
obtained in gluon fusion to Higgs, just the overall new physics scale. In this
paper we show that this is not the case when hard radiation is taken into
account. Indeed, differential distributions in Higgs plus jets are sensitive to
the top-partner mass and coupling to the Higgs. We exploit the transverse
momentum distribution of the hard jet to obtain limits on the top-partners in
the 14 TeV LHC run, finding that 300 ifb of data of 14 TeV LHC are sufficient
to rule out top-sector mixing angles $\sin^2 (\theta_R)$ > 0.05 for
top-partners with masses from 300 GeV to above 2 TeV.


title: On shifted super Yangians and a class of finite W-superalgebras

abstract:
  We study the finite W-superalgebra $W_e$ associated to a nilpotent element
$e$ in a general linear Lie superalgebra. Under certain restriction on the
Jordan type of $e$, we give a realization of $W_e$ in terms of a quotient of a
shifted super Yangian.


title: An integrable 3D lattice model with positive Boltzmann weights

abstract:
  In this paper we construct a three-dimensional (3D) solvable lattice model
with non-negative Boltzmann weights. The spin variables in the model are
assigned to edges of the 3D cubic lattice and run over an infinite number of
discrete states. The Boltzmann weights satisfy the tetrahedron equation, which
is a 3D generalisation of the Yang-Baxter equation. The weights depend on a
free parameter 0<q<1 and three continuous field variables. The layer-to-layer
transfer matrices of the model form a two-parameter commutative family. This is
the first example of a solvable 3D lattice model with non-negative Boltzmann
weights.

categories: math-ph cond-mat.stat-mech hep-th math.MP


title: Bit Rate of Programs

abstract:
  A program can be considered as a device that generates discrete time signals,
where a signal is an execution. Shannon information rate, or bit rate, of the
signals may not be uniformly distributed. When the program is specified by a
finite state transition system, algorithms are provided in identifying
information-rich components. For a black-box program that has a partial
specification or does not even have a specification, a bit rate signal and its
spectrum are studied, which make use of data compression and the Fourier
transform. The signal provides a bit-rate coverage for testing the black-box
while its spectrum indicates a visual representation for execution's
information characteristics.


title: Rotation algebras and Exel trace formula

abstract:
  We found that if $u$ and $v$ are any two unitaries in a unital $C^*$-algebra
with $\|uv-vu\|<2$ such that $uvu^*v^*$ commutes with $u$ and $v,$ then the
\SCA\, $A_{u,v}$ generated by $u$ and $v$ is isomorphic to a quotient of the
rotation algebra $A_\theta$ provided that $A_{u,v}$ has a unique tracial state.
We also found that the Exel trace formula holds in any unital $C^*$-algebra.
Let $\theta\in (-1/2, 1/2)$ be a rational number. We prove the following: For
any $\ep>0,$ there exists $\dt>0$ satisfying the following: if $u$ and $v$ are
two unitary matrices such that $$ \|uv-e^{2\pi i\theta}vu\|<\dt\andeqn
{1\over{2\pi i}}\tau(\log(uvu^*v^*))=\theta, $$ then there exists a pair of
unitary matrices $\tilde{u}$ and $\tilde{v}$ such that $$
\tilde{u}\tilde{v}=e^{2\pi i\theta} \tilde{v}\tilde{u},\,\,
\|u-\tilde{u}\|<\ep\andeqn \|v-\tilde{v}\|<\ep. $$ Furthermore, a
generalization of this for all real $\theta$ is obtained for unitaries in
unital infinite dimensional simple $C^*$-algebras of tracial rank zero.


title: High-threshold topological quantum error correction against biased noise

abstract:
  Quantum information can be protected from decoherence and other errors, but
only if these errors are sufficiently rare. For quantum computation to become a
scalable technology, practical schemes for quantum error correction that can
tolerate realistically high error rates will be necessary. In some physical
systems, errors may exhibit a characteristic structure that can be carefully
exploited to improve the efficacy of error correction. Here, we describe a
scheme for topological quantum error correction to protect quantum information
from a dephasing-biased error model, where we combine a repetition code with a
topological cluster state. We find that the scheme tolerates error rates of up
to 1.37%-1.83% per gate, requiring only short-range interactions in a
two-dimensional array.


title:
Adaptive Multi-objective Optimization for Energy Efficient Interference
  Coordination in Multi-Cell Networks

abstract:
  In this paper, we investigate the distributed power allocation for multi-cell
OFDMA networks taking both energy efficiency and inter-cell interference (ICI)
mitigation into account. A performance metric termed as throughput contribution
is exploited to measure how ICI is effectively coordinated. To achieve a
distributed power allocation scheme for each base station (BS), the throughput
contribution of each BS to the network is first given based on a pricing
mechanism. Different from existing works, a biobjective problem is formulated
based on multi-objective optimization theory, which aims at maximizing the
throughput contribution of the BS to the network and minimizing its total power
consumption at the same time. Using the method of Pascoletti and Serafini
scalarization, the relationship between the varying parameters and minimal
solutions is revealed. Furthermore, to exploit the relationship an algorithm is
proposed based on which all the solutions on the boundary of the efficient set
can be achieved by adaptively adjusting the involved parameters. With the
obtained solution set, the decision maker has more choices on power allocation
schemes in terms of both energy consumption and throughput. Finally, the
performance of the algorithm is assessed by the simulation results.


title:
Superspace formulation and correlation functions of 3d superconformal
  field theories

abstract:
  We study $3d$ SCFTs in the superspace formalism and discuss superfields and
on-shell higher spin current multiplets in free $3d$ SCFTs with $\mathcal{N}=
1,2,3,4$ and $6$ superconformal symmetry. For $\mathcal{N}=1$ 3d SCFTs we
determine the superconformal invariants in superspace needed for constructing
3-point functions of higher spin operators, find the non-linear relations
between the invariants and consequently write down all the independent
invariant structures, both parity even and odd, for various 3-point functions
of higher spin operators.


title:
On the monotonicity of spatial critical points evolving under
  curvature-driven flows

abstract:
  We describe the variation of the number $N(t)$ of spatial critical points of
smooth curves (defined as a scalar distance $r$ from a fixed origin $O$)
evolving under curvature-driven flows. In the latter, the speed $v$ in the
direction of the surface normal may only depend on the curvature $\kappa$.
Under the assumption that only generic saddle-node bifurcations occur, we show
that $N(t)$ will decrease if the partial derivative $v_{\kappa}$ is positive
and increase if it is negative (Theorem 1). Justification for the genericity
assumption is provided in Section 5. For surfaces embedded in 3D, the normal
speed $v$ under curvature-driven flows may only depend on the principal
curvatures $\kappa, \lambda$. Here we prove the weaker (stochastic) Theorem 2
under the additional assumption that third-order partial derivatives can be
approximated by random variables with zero expected value and covariance.
Theorem 2 is a generalization of a result by Kuijper and Florack for the heat
equation. We formulate a Conjecture for the case when the reference point
coincides with the centre of gravity and we motivate the Conjecture by
intermediate results and an example. Since models for collisional abrasion are
governed by partial differential equations with $v_{\kappa},v_{\lambda}>0$, our
results suggest that the decrease of the number of static equilibrium points is
characteristic of some natural processes.


title:
Why is combinatorial communication rare in the natural world, and why is
  language an exception to this trend?

abstract:
  In a combinatorial communication system, some signals consist of the
combinations of other signals. Such systems are more efficient than equivalent,
non-combinatorial systems, yet despite this they are rare in nature. Why?
Previous explanations have focused on the adaptive limits of combinatorial
communication, or on its purported cognitive difficulties, but neither of these
explains the full distribution of combinatorial communication in the natural
world. Here we present a nonlinear dynamical model of the emergence of
combinatorial communication that, unlike previous models, considers how
initially non-communicative behaviour evolves to take on a communicative
function. We derive three basic principles about the emergence of combinatorial
communication. We hence show that the interdependence of signals and responses
places significant constraints on the historical pathways by which
combinatorial signals might emerge, to the extent that anything other than the
most simple form of combinatorial communication is extremely unlikely. We also
argue that these constraints can be bypassed if individuals have the
socio-cognitive capacity to engage in ostensive communication. Humans, but
probably no other species, have this ability. This may explain why language,
which is massively combinatorial, is such an extreme exception to nature's
general trend for non-combinatorial communication.


title: Complete minimal submanifolds of compact Lie groups

abstract:
  We give a new method for manufacturing complete minimal submanifolds of
compact Lie groups and their homogeneous quotient spaces. For this we make use
of harmonic morphisms and basic representation theory of Lie groups. We then
apply our method to construct many examples of compact minimal submanifolds of
the special unitary groups.


title: On Integro-Differential Inclusions with Operator-valued Kernels

abstract:
  We study integro-differential inclusions in Hilbert spaces with
operator-valued kernels and give sufficient conditions for the well-posedness.
We show that several types of integro-differential equations and inclusions are
covered by the class of evolutionary inclusions and we therefore give criteria
for the well-posedness within this framework. As an example we apply our
results to the equations of visco-elasticity and to a class of nonlinear
integro-differential inclusions describing Phase Transition phenomena in
materials with memory.


title:
Chemical reactions of ultracold alkali-metal dimers in the lowest-energy
  $^3\Sigma$ state

abstract:
  We show that the interaction of polar alkali dimers in the quintet spin state
leads to the formation of a deeply bound reaction complex. The reaction complex
can decompose adiabatically into homonuclear alkali dimers (for all molecules
except KRb) and into alkali trimers (for all molecules). We show that there are
no barriers for these chemical reactions. This means that all alkali dimers in
the $a^3\Sigma^+$ state are chemically unstable at ultracold temperature, and
the use of an optical lattice to segregate the molecules and suppress losses
may be necessary. In addition, we calculate the minimum energy path for the
chemical reactions of alkali hydrides. We find that the reaction of two
molecules is accelerated by a strong attraction between the alkali atoms,
leading to a barrierless process that produces hydrogen atoms with large
kinetic energy. We discuss the unique features of the chemical reactions of
ultracold alkali dimers in the $a^3\Sigma^+$ electronic state.


title: Elastic Strains in SiGe Heterostructure With Non-Uniform Quantum Dots

abstract:
  Elastic strain distributions in SiGe heterostructures with quantum dots have
been simulated with the use of the finite element method. The effect of a
non-uniform germanium distribution in the nanoislands on the spatial dependence
and the magnitude of elastic fields was studied. It is shown that quantum dots
with a uniform component content are more strained in comparison with
non-uniform nanoislands


title:
Evidence of Chiral Order in the Charge-Ordered Phase of Superconducting
  La1.875Ba0.125Cuo4 Single Crystals Using Polar Kerr-Effect Measurements

abstract:
  High resolution polar Kerr effect (PKE) measurements were performed on
La1.875Ba0.125Cuo4 single crystals revealing that a finite Kerr signal is
measured below an onset temperature-T_K that coincides with charge ordering
transition temperature T_{CO}. We further show that the sign of the Kerr signal
cannot be trained with magnetic field, is found to be the same of opposite
sides of the same crystal, and is odd with respect to strain in the diagonal
direction of the unit cell. These observations are consistent with a chiral
"gyrotropic" order above T_c for La1.875Ba0.125Cuo4; similarities to other
cuprates suggest that it is a universal property in the pseudogap regime.


title:
An Investigation On Fuzzy Logic Controllers (TAKAGI-SUGENO & MAMDANI) In
  Inverse Pendulum System

abstract:
  The concept of controlling non-linear systems is one the significant fields
in scientific researches for the purpose of which intelligent approaches can
provide desirable applicability. Fuzzy systems are systems with ambiguous
definition and fuzzy control is an especial type of non-linear control. Inverse
pendulum system is one the most widely popular non-linear systems which is
known for its specific characteristics such as being intrinsically non-linear
and unsteady. Therefore, a controller is required for maintaining stability of
the system Present study tries to compare the obtained results from designing
fuzzy intelligent controllers in similar conditions and also identify the
appropriate controller for holding the inverse pendulum in vertical position on
the cart.


title: Continuous essential selections and integral functionals

abstract:
  Given a strictly positive measure, we characterize inner semicontinuous solid
convex-valued mappings for which continuous functions which are selections
almost everywhere are selections. This class contains continuous mappings as
well as fully lower semicontinuous closed convex-valued mappings that arise in
variational analysis and optimization of integral functionals. The
characterization allows for extending existing results on convex conjugates of
integral functionals on continuous functions. We also give an application to
integral functionals on left continuous functions of bounded variation.


title: L_1-Estimates for Eigenfunctions of the Dirichlet Laplacian

abstract:
  For $d \in \N$ and $\Omega \ne \emptyset$ an open set in $\R^d$, we consider
the eigenfunctions $\Phi$ of the Dirichlet Laplacian $-\Delta_\Omega$ of
$\Omega$. If $\Phi$ is associated with an eigenvalue below the essential
spectrum of $-\Delta_\Omega$ we provide estimates for the $L_1$-norm of $\Phi$
in terms of its $L_2$-norm and spectral data. These $L_1$-estimates are then
used in the comparison of the heat content of $\Omega$ at time $t>0$ and the
heat trace at times $t' > 0$, where a two-sided estimate is established. We
furthermore show that all eigenfunctions of $-\Delta_\Omega$ which are
associated with a discrete eigenvalue of $H_\Omega$, belong to $L_1(\Omega)$.


title: Discrete dynamical modelling of omega Centauri

abstract:
  We present a new framework for modelling discrete kinematic data. Current
techniques typically involve binning. Our approach works directly with the
discrete data and uses maximum-likelihood methods to assess the probability of
the dataset given model predictions. We avoid making hard cuts on the datasets
by allowing for a contaminating population in our models. We apply our models
to discrete proper-motion and line-of-sight-velocity data of Galactic globular
cluster omega Centauri and find a mildly radial velocity anisotropy beta = 0.10
+/- 0.02, an inclination angle i = 50 +/- 1 deg, a V-band mass-to-light ratio
Upsilon = 2.71 +/- 0.05 Msun/Lsun and a distance d = 4.59 +/- 0.08 kpc. All
parameters are in agreement with previous studies, demonstrating the
feasibility of our methods. We find that the models return lower distances and
higher mass-to-light ratios than expected when we include proper motion stars
with high errors or for which there is some blending. We believe this not a
fault of our models but is instead due to underestimates or missing systematic
uncertainties in the provided errors.


title: Substrate effects on quasiparticles and excitons in graphene nanoflakes

abstract:
  The effects of substrate on electronic and optical properties of triangular
and hexagonal graphene nanoflakes with armchair edges are investigated by using
a configuration interaction approach beyond double excitation scheme. The
quasiparticle correction to the energy gap and exciton binding energy are found
to be dominated by the long-range Coulomb interactions and exhibit similar
dependence on the dielectric constant of the substrate, which leads to a
cancellation of their contributions to the optical gap. As a result, the
optical gaps are shown to be insensitive to the dielectric environment and
unexpectedly close to the single-particle gaps.


title: Multipath Matching Pursuit

abstract:
  In this paper, we propose an algorithm referred to as multipath matching
pursuit that investigates multiple promising candidates to recover sparse
signals from compressed measurements. Our method is inspired by the fact that
the problem to find the candidate that minimizes the residual is readily
modeled as a combinatoric tree search problem and the greedy search strategy is
a good fit for solving this problem. In the empirical results as well as the
restricted isometry property (RIP) based performance guarantee, we show that
the proposed MMP algorithm is effective in reconstructing original sparse
signals for both noiseless and noisy scenarios.


title:
Tailoring the molecular structure to suppress extrinsic disorder in
  organic transistors

abstract:
  In organic field-effect transistors, the structure of the constituent
molecules can be tailored to minimize the disorder experienced by charge
carriers. Experiments on two perylene derivatives show that disorder can be
suppressed by attaching longer core substituents - thereby reducing potential
fluctuations in the transistor channel and increasing the mobility at low
temperature - without altering the intrinsic transport properties.


title: Appendix of Extending Bicoloring for Steiner Triple Systems

abstract:
  We initiate the study of extended bicolorings of Steiner triple systems (STS)
which start with a $k$-bicoloring of an STS($v$) and end up with a
$k$-bicoloring of an STS($2v+1$) obtained by a doubling construction, using
only the original colors used in coloring the subsystem STS($v$). By producing
many such extended bicolorings, we obtain several infinite classes of orders
for which there exist STSs with different lower and upper chromatic number.


title: Langevin description of gauged scalar fields in a thermal bath

abstract:
  We study the dynamics of the oscillating gauged scalar field in a thermal
bath. A Langevin type equation of motion of the scalar field, which contains
both dissipation and fluctuation terms, is derived by using the real-time
finite temperature effective action approach. The existence of the quantum
fluctuation-dissipation relation between the non-local dissipation term and the
Gaussian stochastic noise terms is verified. We find the noise variables are
anti-correlated at equal-time. The dissipation rate for the each mode is also
studied, which turns out to depend on the wavenumber.


title:
Cooperative effects and photon localization in atomic gases: The
  two-dimensional case

abstract:
  We study photon escape rates from two-dimensional atomic gases while taking
into account cooperative effects between the scatterers. Based on the spectrum
of the random Euclidean matrix Uij = Jo(xij), where xij is the dimensionless
random distance between any two atoms, a scaling behavior for the escape rates
is obtained. This behavior is similar to the one obtained in the
three-dimensional case, but qualitatively different from the result obtained in
one dimension.


title: Symmetry-Tunable Environment in Functional Ferroic Heterostructures

abstract:
  We demonstrate a concept for post-growth symmetry control in oxide
heterostructures. A functional oxide is sandwiched between two ferroelectric
layers and inversion symmetry at the position of the oxide constituent is
reversibly switched on or off by layer-selective electric-field poling. The
functionality of this process is monitored by optical second harmonic
generation. The generalization of our approach to other materials and
symmetries is considered. We thus establish ferroic trilayer structures as
device components in which symmetry-driven charge-, spin-, and strain-related
functionalities can be activated and deactivated at will.


title: Detecting highly-dispersed bursts with next-generation radio telescopes

abstract:
  Recently, there have been reports of six bright, dispersed bursts of coherent
radio emission found in pulsar surveys with the Parkes Multi-beam Receiver. Not
much is known about the progenitors of these bursts, but they are
highly-energetic, and probably of extragalactic origin. Their properties
suggest extreme environments and interesting physics, but in order to
understand and study these events, more examples need to be found. Fortunately,
the recent boom in radio astronomy means many 'next-generation' radio
telescopes are set to begin observing in the near future. In this paper we
discuss the prospects of detecting short extragalactic bursts, in both
beamformed and imaging data, using these instruments. We find that often the
volume of space probed by radio surveys of fast transients is limited by the
dispersion measure (DM) of the source, rather than its physical distance
(although the two quantities are related). This effect is larger for
low-frequency telescopes, where propagation effects are more prominent, but,
their larger fields-of-view are often enough to compensate for this. Our
simulations suggest that the low-frequency component of SKA1 could find an
extragalactic burst every hour. We also show that if the sensitivity of the
telescope is above a certain threshold, imaging surveys may prove more fruitful
than beamformed surveys in finding these sorts of transients.


title: Multi-field G-inflation

abstract:
  We propose a multi-field extension of (generalized) G-inflation, based on
covariant multi-galileons and their generalization preserving second-order
field equations. We compute the quadratic action for cosmological
perturbations. By comparing the formulas for cosmological perturbations, it is
highlighted that multi-field DBI galileon inflation is not included in the
multi-field version of generalized G-inflation. Our result indicates that the
generalized covariant multi-galileon theory is not the most general
multi-scalar-tensor theory with second-order field equations.


title:
Phase matching condition for enhancement of phase sensitivity in quantum
  metrology

abstract:
  We find a phase matching condition for enhancement of sensitivity in a
Mach-Zehnder interferometer illuminated by an arbitrary state in one input port
and an odd(even) state in the other port. Under this condition, the Fisher
information becomes maximal with respect to the relative phase of two modes and
the phase sensitivity is enhanced. For the case with photon losses, we further
find that the phase matching condition keeps unchanged with a coherent state
and a coherent superposition state as the input states.


title:
A continuous wave 10 W cryogenic fiber amplifier at 1015 nm and
  frequency quadrupling to 254 nm

abstract:
  A stable, continuous wave, single frequency fiber amplifier system at 1015 nm
with 10W output power is presented. It is based on a large mode double clad
fiber cooled to liquid nitrogen temperature. The amplified light is frequency
quadrupled to 254 nm and used for spectroscopy of the 6^1S - 6^3P transition in
mercury.


title: The Mapping of Simulated Climate-Dependent Building Innovations

abstract:
  Performances of building energy innovations are most of the time dependent on
the external climate conditions. This means a high performance of a specific
innovation in a certain part of Europe, does not imply the same performances in
other regions. The mapping of simulated building performances at the EU scale
could prevent the waste of potential good ideas by identifying the best region
for a specific innovation. This paper presents a methodology for obtaining maps
of performances of building innovations that are virtually spread over whole
Europe. It is concluded that these maps are useful for finding regions at the
EU where innovations have the highest expected performances.


title:
Casimir Dark Energy, Stabilization of the Extra Dimensions and
  Gauss-Bonnet Term

abstract:
  Casimir dark energy model in five-dimensional and six-dimensional spacetime
including non-relativistic matter and Gauss-Bonnet term is investigated. The
Casimir energy can play the role of dark energy to drive the late-time
acceleration of the universe while the radius of the extra dimensions can be
stabilized. The qualitative analysis in radion picture in four-dimensional
spacetime shows that the contribution from Gauss-Bonnet term will effectively
slow down the radion field at the beginning time. Therefore, the radion field
does not pass minimum point of the effective potential before the minimum of
the potential exists. This leads to the stabilizing mechanism of the extra
dimensions eventually.


title:
Character Sums and Deterministic Polynomial Root Finding in Finite
  Fields

abstract:
  We obtain a new bound of certain double multiplicative character sums. We use
this bound together with some other previously obtained results to obtain new
algorithms for finding roots of polynomials modulo a prime $p$.


title: The Strip-Decomposition of m-Dyck Paths

abstract:
  The $m$-Tamari lattices $\mathcal{T}_{n}^{(m)}$, introduced by Bergeron and
Pr{\'e}ville-Ratelle, are defined as a poset of $m$-Dyck paths equipped with
the generalized rotation order, and constitute a Fuss-Catalan generalization of
the classical Tamari lattices $\mathcal{T}_{n}$. While for $\mathcal{T}_{n}$
many combinatorial realizations are known, to present there is no further
combinatorial realization of $\mathcal{T}_{n}^{(m)}$. In this article, we
introduce a certain decomposition of $m$-Dyck paths into $m$-tuples of Dyck
paths, and after a certain modification of these $m$-tuples, we conjecture that
the resulting $m$-tuples of Dyck paths realize $\mathcal{T}_{n}^{(m)}$ as an
induced subposet of the $m$-fold direct product of $\mathcal{T}_{n}$ with
itself. We are able to prove this conjecture for $n\leq 3$, and provide
necessary conditions for $m$-tuples of Dyck paths to belong to this
realization. However, for $n\geq 5$, no sufficient condition is known.


title: Magnetization oscillations by vortex-antivortex dipoles

abstract:
  A vortex-antivortex dipole can be generated due to current with in-plane
spin-polarization, flowing into a magnetic element, which then behaves as a
spin transfer oscillator. Its dynamics is analyzed using the Landau-Lifshitz
equation including a Slonczewski spin-torque term. We establish that the vortex
dipole is set in steady state rotational motion due to the interaction between
the vortices, while an external in-plane magnetic field can tune the frequency
of rotation. The rotational motion is linked to the nonzero skyrmion number of
the dipole. The spin-torque acts to stabilize the vortex dipole at a definite
vortex-antivortex separation distance. In contrast to a free vortex dipole, the
rotating pair under spin-polarized current is an attractor of the motion,
therefore a stable state. Three types of vortex-antivortex pairs are obtained
as we vary the external field and spin-torque strength. We give a guide for the
frequency of rotation based on analytical relations.


title:
Krypton assay in xenon at the ppq level using a gas chromatographic
  system and mass spectrometer

abstract:
  We have developed a new method to measure krypton traces in xenon at
unprecedented low concentrations. This is a mandatory task for many near-future
low-background particle physics detectors. Our system separates krypton from
xenon using cryogenic gas chromatography. The amount of krypton is then
quantified using a mass spectrometer. We demonstrate that the system has
achieved a detection limit of 8 ppq (parts per quadrillion) and present results
of distilled xenon with krypton concentrations below 1 ppt.


title:
Emergence of structural and dynamical properties of ecological
  mutualistic networks

abstract:
  Mutualistic networks are formed when the interactions between two classes of
species are mutually beneficial. They are important examples of cooperation
shaped by evolution. Mutualism between animals and plants plays a key role in
the organization of ecological communities. Such networks in ecology have
generically evolved a nested architecture independent of species composition
and latitude - specialists interact with proper subsets of the nodes with whom
generalists interact. Despite sustained efforts to explain observed network
structure on the basis of community-level stability or persistence, such
correlative studies have reached minimal consensus. Here we demonstrate that
nested interaction networks could emerge as a consequence of an optimization
principle aimed at maximizing the species abundance in mutualistic communities.
Using analytical and numerical approaches, we show that because of the
mutualistic interactions, an increase in abundance of a given species results
in a corresponding increase in the total number of individuals in the
community, as also the nestedness of the interaction matrix. Indeed, the
species abundances and the nestedness of the interaction matrix are correlated
by an amount that depends on the strength of the mutualistic interactions.
Nestedness and the observed spontaneous emergence of generalist and specialist
species occur for several dynamical implementations of the variational
principle under stationary conditions. Optimized networks, while remaining
stable, tend to be less resilient than their counterparts with randomly
assigned interactions. In particular, we analytically show that the abundance
of the rarest species is directly linked to the resilience of the community.
Our work provides a unifying framework for studying the emergent structural and
dynamical properties of ecological mutualistic networks.


title:
Remainder estimates for the Long Range Behavior of the van der Waals
  interaction energy

abstract:
  The van der Waals-London's law, for a collection of atoms at large
separation, states that their interaction energy is pairwise attractive and
decays proportionally to one over their distance to the sixth. The first
rigorous result in this direction was obtained by Lieb and Thirring [LT], by
proving an upper bound which confirms this law. Recently the van der
Waals-London's law was proven under some assumptions by I.M. Sigal and the
author [AS]. Following the strategy of [AS] and reworking the approach
appropriately, we prove estimates on the remainder of the interaction energy.
Furthermore, using an appropriate test function, we prove an upper bound for
the interaction energy, which is sharp to leading order. For the upper bound,
our assumptions are weaker, the remainder estimates stronger and the proof is
simpler. The upper bound, for the cases it applies, improves considerably the
upper bound of Lieb and Thirring. However, their bound is much more general.
Here we consider only spinless Fermions.


title:
Block Markov Superposition Transmission: Construction of Big
  Convolutional Codes from Short Codes

abstract:
  A construction of big convolutional codes from short codes called block
Markov superposition transmission (BMST) is proposed. The BMST is very similar
to superposition blockMarkov encoding (SBME), which has been widely used to
prove multiuser coding theorems. The encoding process of BMST can be as fast as
that of the involved short code, while the decoding process can be implemented
as an iterative sliding-window decoding algorithm with a tunable delay. More
importantly, the performance of BMST can be simply lower-bounded in terms of
the transmission memory given that the performance of the short code is
available. Numerical results show that, 1) the lower bounds can be matched with
a moderate decoding delay in the low bit-error-rate (BER) region, implying that
the iterative slidingwindow decoding algorithm is near optimal; 2) BMST with
repetition codes and single parity-check codes can approach the Shannon limit
within 0.5 dB at BER of 10^{-5} for a wide range of code rates; and 3) BMST can
also be applied to nonlinear codes.


title:
Complete condition for nonzero quantum correlation in continuous
  variable systems

abstract:
  Quantum correlation provides a promising measure beyond entanglement. Here,
we propose a necessary and sufficient condition for nonzero quantum correlation
in continuous variable systems, which is simple and easy to perform in terms of
a marker $Q_r$. In order to get this condition, we introduce
continuous-variable local orthogonal bases of the operator space, which are
generalized from the orthogonal basis sets in local operator space for discrete
variables. Based on this, we obtain the marker $Q_r$ for all bipartite
continuous variable states, and provide several examples including two-mode
Gaussian and non-Gaussian states. Our result may provide a candidate for
quantum correlation measures, and can be measured by designed quantum circuits.


title:
Lefschetz thimbles and stochastic quantisation: Complex actions in the
  complex plane

abstract:
  Lattice field theories with a complex action can be studied numerically by
allowing a complexified configuration space to be explored. Here we compare the
recently introduced formulation on a Lefschetz thimble with the result from
stochastic quantisation (or complex Langevin dynamics) in the case of a simple
model and contrast the distributions being sampled. We also study the role of
the residual phase on the Lefschetz thimble.


title:
Confined dissipative droplet solitons in spin-valve nanowires with
  perpendicular magnetic anisotropy

abstract:
  Magnetic dissipative droplets are localized, strongly nonlinear dynamical
modes excited in nano-contact spin valves with perpendicular magnetic
anisotropy. These modes find potential application in nanoscale structures for
magnetic storage and computation, but dissipative droplet studies have so far
been limited to extended thin films. Here, numerical and asymptotic analyses
are used to demonstrate the existence and properties of novel solitons in
confined structures. As a nanowire's width is decreased with a nano-contact of
fixed size at its center, the observed modes undergo transitions from a fully
localized two-dimensional droplet into a two-dimensional droplet edge mode and
then a pulsating one-dimensional droplet. These solitons are interpreted as
dissipative versions of classical, conservative solitons, allowing for an
analytical description of the modes and the mechanisms of bifurcation. The
presented results open up new possibilities for the study of low-dimensional
solitons and droplet applications in nanostructures.


title: Towards m-Cambrian Lattices

abstract:
  For positive integers $m$ and $k$, we introduce a family of lattices
$\mathcal{C}_{k}^{(m)}$ associated to the Cambrian lattice $\mathcal{C}_{k}$ of
the dihedral group $I_{2}(k)$. We show that $\mathcal{C}_{k}^{(m)}$ satisfies
some basic properties of a Fuss-Catalan generalization of $\mathcal{C}_{k}$,
namely that $\mathcal{C}_{k}^{(1)}=\mathcal{C}_{k}$ and
$\bigl\lvert\mathcal{C}_{k}^{(m)}\bigr\rvert=\mbox{Cat}^{(m)}\bigl(I_{2}(k)\bigr)$.
Subsequently, we prove some structural and topological properties of these
lattices---namely that they are trim and EL-shellable---which were known for
$\mathcal{C}_{k}$ before. Remarkably, our construction coincides in the case
$k=3$ with the $m$-Tamari lattice of parameter 3 due to Bergeron and
Pr{\'e}ville-Ratelle. Eventually, we investigate this construction in the
context of other Coxeter groups, in particular we conjecture that the lattice
completion of the analogous construction for the symmetric group
$\mathfrak{S}_{n}$ and the long cycle $(1\;2\;\ldots\;n)$ is isomorphic to the
$m$-Tamari lattice of parameter $n$.


title: Electronic structure of stacking faults in hexagonal graphite

abstract:
  We present results of self-consistent, full-potential electronic structure
calculations for slabs of hexagonal graphite with stacking faults and for slabs
with one displaced surface layer. There are two types of stacking faults, which
differ qualitatively in their chemical bonding picture. We find, that both
types induce localized interface bands near the symmetry line K-M in the
Brillouin zone and a related peak in the local density of states (LDOS) very
close to the Fermi energy, which should give rise to a dominating contribution
of the interface bands to the local conductivity at the stacking faults. In
contrast, a clean surface does not host any surface bands in the energy range
of the pi and sigma bands, and the LDOS near the surface is even depleted. On
the other hand, displacement of even one single surface layer induces a surface
band near K-M. A special role play p_z-bonded dimers (directed perpendicular to
the layers) in the vicinity of one type of stacking faults. They produce a
half-filled pair of interface states / interface resonances. The formation
energy of both types of stacking faults and the surface energy are estimated.


title: Machine Code Optimization - Improving Executable Object Code

abstract:
  This dissertation explores classes of compiler optimization techniques that
are applicable late in the compilation process, after all executable code for a
program has been linked. I concentrate on techniques which, for various
reasons, cannot be applied earlier in the compilation process. In addition to a
theoretical treatment of this class of optimization techniques, this
dissertation reports on an implementation of these techniques in a production
environment. I describe the details of the implementation which allows these
techniques to be re-targeted easily and report on improvements gained when
optimizing production software.


title: A secured communication link design using narrow line of sight technique

abstract:
  In recent wireless networking optical communication is an emerging field.
Another novel approach of optical communication using Narrow Line of Sight
technique is discussed. Array of trans receivers are placed on the ceiling to
communicate with the mobile nodes (users / trans receivers) instead of a single
transmitter. An intelligent position tracking technique based on the
informations available from prepositioned sensors and using them in simple
geometric equations is described. Intelligent cell concept is used to
facilitate the tracking system. The whole wide area is divided into several sub
areas and some of the sub areas are designated as boundary sub areas which hold
the data regarding the movement of the mobile nodes. The Diffie Hellman simple
authenticated key agreement is used for secure communication.


title: Mirror versus naive assignment in chiral models for the nucleon

abstract:
  In the framework of chiral model(s) based on the linear realization of chiral
symmetry, we investigate the low-energy phenomenological properties of the
nucleon and its chiral partner (identified with either $N(1535)$ or $N(1650)$)
in the naive assignment and compare the results with the ones obtained in the
mirror assignment. We find that, within the naive assignment, we are not able
to reproduce the experimental value of the isospin-odd scattering length, while
the mirror assignment is in good agreement with it for both choices $N(1535)$
and $N(1650)$. The isospin-even scattering length is not yet conclusive in
either assignment because it depends crucially on the poorly known scalar
mesonic sector. The decay with $\Gamma_{N(1535)\rightarrow N\eta }$ turns out
to be far too small in both the naive and mirror assignments, while
$\Gamma_{N(1650)\rightarrow N\eta}$ is described correctly by both of them. In
conclusions, the mirror assignment with $N(1650)$ as the chiral partner of the
nucleon is the favored configuration.


title:
Conventional superconductivity and charge-density-wave ordering in
  Ba1-xNaxTi2Sb2O

abstract:
  We have investigated the low temperature physical properties of BaTi2Sb2O and
Ba1-xNaxTi2Sb2O (x = 0.05, 0.1, 0.15, 0.2, 0.25, 0.3) by means of muon spin
rotation (muSR) and SQUID magnetometry. Our measurements reveal the absence of
magnetic ordering below TDW = 58 K in the parent compound. Therefore the phase
transition at this temperature observed by magnetometry is most likely due to
the formation of a charge density wave (CDW). Upon substitution of barium by
sodium in Ba1-xNaxTi2Sb2O we find for x = 0.25 superconductivity with a maximum
T_{c} = 5.1 K in the magnetization and a bulk T_{c,bulk} = 4.5 K in the muSR
measurements. The temperature dependency of the London penetration depth
lambda^-2(T) of the optimally doped compound can be well explained within a
conventional weak-coupling scenario in the clean limit.


title: Tailored two-photon correlation and fair-sampling: a cautionary tale

abstract:
  We demonstrate an experimental test of the Clauser-Horne-Shimony-Holt (CHSH)
Bell inequality which seemingly exhibits correlations beyond the limits imposed
by quantum mechanics. Inspired by the idea of Fourier synthesis, we design
analysers that measure specific superpositions of orbital angular momentum
(OAM) states, such that when one analyser is rotated with respect to the other,
the resulting coincidence curves are similar to a square-wave. Calculating the
CHSH Bell parameter, $S$, from these curves result to values beyond the
Tsirelson bound of $S_{QM}=2\sqrt{2}$. We obtain $S=3.99\pm0.02$, implying
almost perfect nonlocal Popescu-Rohrlich correlations. The "super-quantum"
values of $S$ is only possible in our experiment because our experiment,
subtly, does not comply with fair-sampling. The way our Bell test fails
fair-sampling is not immediately obvious and requires knowledge of the states
being measured. Our experiment highlights the caution needed in Bell-type
experiments based on measurements within high-dimensional state spaces such as
that of OAM, especially in the advent of device-independent quantum protocols.


title: E-learning Services for Rural Communities

abstract:
  Information and communication technologies brought-in tools and techniques in
the field of education that introduced new concepts of teaching and learning.
Learning management system is one of the key tools used in educational
institutes to facilitate e-learning. There is remarkable digital divide among
urban and rural areas. In this paper, we present a model for providing
e-learning services to remote/rural areas in order to promote and facilitate
modern education. A dedicated resource center, hosting the learning management
system, facilitates e-learning centers through Internet. The overall goal of
this model is to have a cost-effective learning environment equipped with
latest technologies to provide learners an opportunity to get insight into new
information and communication technologies and e-learning environment. The
model offers new teaching methodology with enhance utilization of learning
management system in teaching and learning. Basic characteristics and technical
aspects will be considered as well. The study will also promote development and
usage of open-source technologies.


title:
Fluctuations and seasonality in the Arctic sea ice area: A sudden regime
  shift in 2007?

abstract:
  Since the beginning of satellite observations, the Arctic sea ice extent has
shown a downward trend. The decline has been weaker in the March maximum than
in the September minimum and masked by inter-annual fluctuations. One of the
less understood aspects of the sea ice response is the persistence times for
fluctuations, which could indicate the dominant physical processes behind the
sea ice decline. To determine the fluctuation persistence times, however, it is
necessary to first filter out the dominant effect of the seasonal cycle. In the
current study, we thus develop a statistical model, which accurately decomposes
the ice area changes into: (1) a variable seasonal cycle component with a
constant shape and (2) a residual (short term) fluctuation.
  We find the persistence time of fluctuations to be only about three weeks,
independently from season, which is substantially shorter than previously
reported. Such short time scale points to the dominance of atmospheric forcing.
The shape of the seasonal cycle is surprisingly constant for the whole
observational record despite the rapid decline. This is in agreement with the
suggestion that the asymmetry of the seasonal cycle is an effect of Arctic
land-sea geography, which has not changed with climate change.
  The analysis suggest a jump in the annual sea ice area amplitude occurring in
2007, from which it has not yet recovered, possibly revealing a permanent
amplitude shift. In physical sense, this could imply a shift towards the
younger, thinner and more susceptible ice cover commencing after the immense
2007 multi-year ice loss.


title: A fresh perspective on canonical extensions for bounded lattices

abstract:
  This paper presents a novel treatment of the canonical extension of a bounded
lattice, in the spirit of thetheory of natural dualities. At the level of
objects, this can be achieved by exploiting the topological representation due
to M. Ploscica, and the canonical extension can be obtained in the same manner
as can be done in the distributive case by exploiting Priestley duality. To
encompass both objects and morphismsthe Ploscica representation is replaced by
a duality due to Allwein and Hartonas, recast in the style of Ploscica's paper.
This leads to a construction of canonical extension valid for all bounded
lattices,which is shown to be functorial, with the property that the canonical
extension functor decomposes asthe composite of two functors, each of which
acts on morphisms by composition, in the manner of hom-functors.


title:
Accretion and outflow from a magnetized, neutrino cooled torus around
  the gamma ray burst central engine

abstract:
  We calculate the structure and short-term evolution of a gamma ray burst
central engine in the form of a turbulent torus accreting onto a stellar mass
black hole. Our models apply to the short gamma ray burst events, in which a
remnant torus forms after the neutron star-black hole or a double neutron star
merger and is subsequently accreted. We study the 2-dimensional, relativistic
models and concentrate on the effects of black hole and flow parameters as well
as the neutrino cooling. We compare the resulting structure and neutrino
emission to the results of our previous 1-dimensional simulations. We find that
the neutrino cooled torus launches a powerful mass outflow, which contributes
to the total neutrino luminosity and mass loss from the system. The neutrino
luminosity may exceed the Blandford-Znajek luminosity of the polar jets and the
subsequent annihilation of neutrino-antineutrino pairs will provide an
additional source of power to the GRB emission.


title:
On almost everywhere convergence of orthogonal spline projections with
  arbitrary knots

abstract:
  The main result of this paper is a proof that, for any $f \in L_1[a,b]$, a
sequence of its orthogonal projections $(P_{\Delta_n}(f))$ onto splines of
order $k$ with arbitrary knots $\Delta_n$, converges almost everywhere provided
that the mesh diameter $|\Delta_n|$ tends to zero, namely \[ f \in L_1[a,b]
\Rightarrow P_{\Delta_n}(f,x) \to f(x) \quad \mbox{a.e.} \quad (|\Delta_n|\to
0)\,. \] This extends the earlier result that, for $f \in L_p$, we have
convergence $P_{\Delta_n}(f) \to f$ in the $L_p$-norm for $1 \le p \le
\infty$.}


title:
A comprehensive near and far ultraviolet spectroscopic study of the hot
  DA white dwarf G191-B2B

abstract:
  We present a detailed spectroscopic analysis of the hot DA white dwarf
G191-B2B, using the best signal to noise, high resolution near and far UV
spectrum obtained to date. This is constructed from co-added \textit{HST} STIS
E140H, E230H, and \textit{FUSE} observations, covering the spectral ranges of
1150-3145\AA\, and 910-1185\AA\, respectively. With the aid of recently
published atomic data, we have been able to identify previously undetected
absorption features down to equivalent widths of only a few m\AA. In total, 976
absorption features have been detected to $3\sigma$ confidence or greater, with
947 of these lines now possessing an identification, the majority of which are
attributed to Fe and Ni transitions. In our survey, we have also potentially
identified an additional source of circumstellar material originating from Si
{\sc iii}. While we confirm the presence of Ge detected by \citet{vennes05a},
we do not detect any other species. Furthermore, we have calculated updated
abundances for C, N, O, Si, P, S, Fe, and Ni, while also calculating, for the
first time, an NLTE abundance for Al, deriving Al {\sc
iii}/H=$1.60_{-0.08}^{+0.07}\times{10}^{-7}$. Our analysis constitutes what is
the most complete spectroscopic survey of any white dwarf. All observed
absorption features in the \textit{FUSE} spectrum have now been identified, and
relatively few remain elusive in the STIS spectrum.


title:
A Research Framework for the Clean-Slate Design of Next-Generation
  Optical Access

abstract:
  A comprehensive research framework for a comparative analysis of candidate
network architectures and protocols in the clean-slate design of
next-generation optical access is proposed. The proposed research framework
consists of a comparative analysis framework based on multivariate
non-inferiority testing and a notion of equivalent circuit rate taking into
account user-perceived performances, and a virtual test bed providing a
complete experimental platform for the comparative analysis. The capability of
the research framework is demonstrated through numerical results from the study
of the elasticity of hybrid TDM/WDM-PON based on tunable transceivers.


title:
Changing EDSS progression in placebo cohorts in relapsing MS: A
  systematic review and meta-regression

abstract:
  Background: Recent systematic reviews of randomised controlled trials (RCTs)
in relapsing multiple sclerosis (RMS) revealed a decrease in placebo annualized
relapse rates (ARR) over the past two decades. Furthermore, regression to the
mean effects were observed in ARR and MRI lesion counts. It is unclear whether
disease progression measured by the expanded disability status scale (EDSS)
exhibits similar features.
  Methods: A systematic review of RCTs in RMS was conducted extracting data on
EDSS and baseline characteristics. The logarithmic odds of disease progression
were modelled to investigate time trends. Random-effects models were used to
account for between-study variability; all investigated models included trial
duration as a predictor to correct for unequal study durations.
Meta-regressions were conducted to assess the prognostic value of a number of
baseline variables.
  Results: The systematic literature search identified 39 studies, including a
total of 19,714 patients. The proportion of patients in placebo controls
experiencing a disease progression decreased over the years (p<0.001). Meta
regression identified associated covariates including the size of the study and
its duration that in part explained the time trend. Progression probabilities
tended to be lower in the second year compared to the first year with a
reduction of 24% in progression probability from year 1 to year 2 (p=0.014).
  Conclusion: EDSS disease progression exhibits similar behaviour over time as
the ARR and point to changes in trial characteristics over the years,
questioning comparisons between historical and recent trials.


title: The Sample-Complexity of General Reinforcement Learning

abstract:
  We present a new algorithm for general reinforcement learning where the true
environment is known to belong to a finite class of N arbitrary models. The
algorithm is shown to be near-optimal for all but O(N log^2 N) time-steps with
high probability. Infinite classes are also considered where we show that
compactness is a key criterion for determining the existence of uniform
sample-complexity bounds. A matching lower bound is given for the finite case.


title: An O(D,D) Invariant Hamiltonian Action for the Superstring

abstract:
  We construct O(D,D) invariant actions for the bosonic string and RNS
superstring, using Hamiltonian methods and ideas from double field theory. In
this framework the doubled coordinates of double field theory appear as
coordinates on phase space and T-duality becomes a canonical transformation.
Requiring the algebra of constraints to close leads to the section condition,
which splits the phase space coordinates into spacetime coordinates and
momenta.


title:
Electric Field Tuning of the Rashba Effect in the Polar Perovskite
  Structures

abstract:
  We show that the Rashba effect at the polar perovskite surfaces and
interfaces can be tuned by manipulating the two-dimensional electron gas (2DEG)
by an applied electric field, using it to draw the 2DEG out to the surface or
push it deeper into the bulk, thereby controlling the surface-sensitive
phenomenon. These ideas are illustrated by a comprehensive density-functional
study of the recently-discovered polar KTaO$_3$ surface. Analytical results
obtained with a tight-binding model unravel the interplay between the various
factors affecting the Rashba effect such as the strength of the spin-orbit
interaction and the surface-induced asymmetry. Our work helps interpret the
recent experiments on the KTaO$_3$ surface as well as the SrTiO$_3$/LaAlO$_3$
interface.


title: Classical Field Approach to Quantum Weak Measurements

abstract:
  By generalizing the quantum weak measurement protocol to the case of quantum
fields, we show that weak measurements probe an effective classical background
field that describes the average field configuration in the spacetime region
between pre- and post-selection boundary conditions. The classical field is
itself a weak value of the corresponding quantum field operator and satisfies
equations of motion that extremize an effective action. Weak measurements
perturb this effective action, producing measurable changes to the classical
field dynamics. As such, weakly measured effects always correspond to an
effective classical field. This general result explains why these effects
appear to be robust for pre- and post-selected ensembles, and why they can also
be measured using classical field techniques that are not weak for individual
excitations of the field.


title: General properties of the expansion methods of Lie algebras

abstract:
  The study of the relation between Lie algebras and groups, and especially the
derivation of new algebras from them, is a problem of great interest in
mathematics and physics, because finding a new Lie group from an already known
one also means that a new physical theory can be obtained from a known one. One
of the procedures that allow to do so is called expansion of Lie algebras, and
has been recently used in different physical applications - particularly in
gauge theories of gravity. Here we report on further developments of this
method, required to understand in a deeper way their consequences in physical
theories. We have found theorems related to the preservation of some properties
of the algebras under expansions that can be used as criteria and, more
specifically, as necessary conditions to know if two arbitrary Lie algebras can
be related by the some expansion mechanism. Formal aspects, such as the Cartan
decomposition of the expanded algebras, are also discussed. Finally, an
instructive example that allows to check explicitly all our theoretical results
is also provided.


title:
Synthetic light curves and spectra for three-dimensional
  delayed-detonation models of Type Ia supernovae

abstract:
  In a companion paper, Seitenzahl et al. (2013) presented a set of
three-dimensional delayed detonation models for thermonuclear explosions of
near-Chandrasekhar mass white dwarfs (WDs). Here, we present multi-dimensional
radiative transfer simulations that provide synthetic light curves and spectra
for those models. The model sequence explores both changes in the strength of
the deflagration phase (controlled by the ignition configuration) and the WD
central density. In agreement with previous studies, we find that the strength
of the deflagration significantly affects the explosion and the observables.
Variations in the central density also have an influence on both brightness and
colour, but overall it is a secondary parameter in our set of models. In many
respects, the models yield a good match to normal Type Ia supernovae (SNe Ia):
peak brightness, rise/decline time scales and synthetic spectra are all in
reasonable agreement. There are, however, several differences. In particular,
the models are too red around maximum light, manifest spectral line velocities
that are a little too high and yield I-band light curves that do not match
observations. Although some of these discrepancies may simply relate to
approximations made in the modelling, some pose real challenges to the models.
If viewed as a complete sequence, our models do not reproduce the observed
light-curve width-luminosity relation (WLR) of SNe Ia: all our models show
similar B-band decline rates, irrespective of peak brightness. This suggests
that simple variations in the strength of the deflagration phase in
Chandrasekhar-mass deflagration-to-detonation models do not readily explain the
observed diversity of normal SNe Ia. This may imply that some other parameter
within the Chandrasekhar-mass paradigm is key to the WLR, or that a substantial
fraction of normal SNe Ia arise from an alternative explosion scenario.


title: Three-dimensional Riemannian manifolds with circulant structures

abstract:
  We consider a 3-dimensional Riemannian manifold M with two circulant
structures -- a metric g and an endomorphism q whose third power is identity.
The structure q is compatible with g such that an isometry is induced in any
tangent space of M. We obtain some curvature properties of this manifold (M, g,
q) and give an explicit example of such a manifold.


title: Global well-posedness for periodic generalized KdV equation

abstract:
  In this paper, we show the global well-posedness for periodic gKdV equations
in the space $H^s(\mathbb{T})$, $s\ge \frac12$ for quartic case, and $s>
\frac59$ for quintic case. These improve the previous results of I-team in
2004. In particular, the result is sharp for quintic case. The main approaches
are the I-method combining with the resonance decomposition developed by Miao
et al in 2010, and a bilinear Strichartz estimate in periodic setting.


title: Nucleon spin decomposition at twist three

abstract:
  I review the recent progress in understanding the complete gauge invariant
decomposition of the nucleon spin with particular emphasis on its twist
structure.


title:
Optimal one-parameter observables for $Z'$ searches in $e^+e^- \to
  \mu^+\mu^-$ process

abstract:
  To detect off-shell Abelian $Z'$ boson in $e^+e^-\to\mu^+\mu^-$, we propose
one-parameter observables with the best value-to-uncertainty ratio. The
observables are constructed by angular integration of the differential cross
section with smooth weight functions. The value-to-uncertainty ratio is used as
a criterion to select the unique weight function leading to the observable with
the best statistical power for data analysis. The observables allow to select
either vector or axial-vector $Z'$ couplings to leptons. The obtained
observable can be useful in future experiments at lepton colliders such as the
ILC.


title: Riemannian manifolds with two circulant structures

abstract:
  We consider a three-dimensional Riemannian manifold equipped with two
circulant structures - a metric g and a structure q, which is an isometry with
respect to g and the third power of q is minus identity. We discuss some
curvature properties of this manifold, we give an example of such a manifold
and find a condition for q to be parallel with respect to the Riemannian
connection of g.


title:
Diversification Based Static Index Pruning - Application to Temporal
  Collections

abstract:
  Nowadays, web archives preserve the history of large portions of the web. As
medias are shifting from printed to digital editions, accessing these huge
information sources is drawing increasingly more attention from national and
international institutions, as well as from the research community. These
collections are intrinsically big, leading to index files that do not fit into
the memory and an increase query response time. Decreasing the index size is a
direct way to decrease this query response time.
  Static index pruning methods reduce the size of indexes by removing a part of
the postings. In the context of web archives, it is necessary to remove
postings while preserving the temporal diversity of the archive. None of the
existing pruning approaches take (temporal) diversification into account.
  In this paper, we propose a diversification-based static index pruning
method. It differs from the existing pruning approaches by integrating
diversification within the pruning context. We aim at pruning the index while
preserving retrieval effectiveness and diversity by pruning while maximizing a
given IR evaluation metric like DCG. We show how to apply this approach in the
context of web archives. Finally, we show on two collections that search
effectiveness in temporal collections after pruning can be improved using our
approach rather than diversity oblivious approaches.


title:
Power Control in Networks With Heterogeneous Users: A Quasi-Variational
  Inequality Approach

abstract:
  This work deals with the power allocation problem in a
multipoint-to-multipoint network, which is heterogenous in the sense that each
transmit and receiver pair can arbitrarily choose whether to selfishly maximize
its own rate or energy efficiency. This is achieved by modeling the transmit
and receiver pairs as rational players that engage in a non-cooperative game in
which the utility function changes according to each player's nature. The
underlying game is reformulated as a quasi variational inequality (QVI) problem
using convex fractional program theory. The equivalence between the QVI and the
non-cooperative game provides us with all the mathematical tools to study the
uniqueness of its Nash equilibrium (NE) points and to derive novel algorithms
that allow the network to converge to these points in an iterative manner both
with and without the need for a centralized processing. A small-cell network is
considered as a possible case study of this heterogeneous scenario. Numerical
results are used to validate the proposed solutions in different operating
conditions.


title: Conditions for up-down asymmetry in the core of tokamak equilibria

abstract:
  A local magnetic equilibrium solution is sought around the magnetic axis in
order to identify the key parameters defining the magnetic-surface's up-down
asymmetry in the core of tokamak plasmas. The asymmetry is found to be
determined essentially by the ratio of the toroidal current density flowing on
axis to the fraction of the external field's odd perturbation that manages to
propagate from the plasma boundary into the core. The predictions are tested
and illustrated first with an analytical Solovev equilibrium and then using
experimentally relevant numerical equilibria. Hollow current-density
distributions, and hence reverse magnetic shear, are seen to be crucial to
bring into the core asymmetry values that are usually found only near the
plasma edge.


title:
Bianchi type-I transit cosmological models with time dependent
  gravitational and cosmological constants - reexamined

abstract:
  The present study reexamines the recent work of Pradhan et al. (Indian J.
Phys. 88: 757, 2014) and obtained general exact solutions of the Einstein's
field equations with variable gravitational and cosmological "constants" for a
spatially homogeneous and anisotropic Bianchi type-I space-time. To study the
transit behaviour of Universe, we consider a law of variation of scale factor
$a(t) = \left(t^{k} e^{t}\right)^{\frac{1}{n}}$ which yields a time dependent
deceleration parameter $q = - 1 + \frac{nk}{(k + t)^{2}}$, comprising a class
of models that depicts a transition of the universe from the early decelerated
phase to the recent accelerating phase. We find that the time dependent
deceleration parameter is reasonable for the present day Universe and give an
appropriate description of the evolution of the universe. For $n = 0.27k$, we
obtain $q_{0} = -0.73$ which is similar to observed value of deceleration
parameter at present epoch. It is also observed that for $n \geq 2$ and $k =
1$, we obtain a class of transit models of the universe from early decelerating
to present accelerating phase. For $k = 0$, the universe has non-singular
origin. In these models, we arrive at the decision that, from the structure of
the field equations, the behaviour of cosmological and gravitational constants
and are related. Taking into consideration the observational data, we conclude
that the cosmological constant behaves as a positive decreasing function of
time whereas gravitational constant is increasing and tend to a constant value
at late time. $H(z)/(1+z)$ data ($32$ points) and model prediction as a
function of redshift for different $k$ and $n$ are successfully presented by
using recent data (Farooq and Ratra, Astrophys. J. 66: L7, 2013). Some physical
and geometric properties of the models are also discussed.


title: The WISE properties of complete samples of radio-loud AGN

abstract:
  We present an analysis of four complete samples of radio-loud AGN (3CRR, 2Jy,
6CE and 7CE) using near- and mid-IR data taken by the Wide-Field Infrared
Survey Explorer (WISE). The combined sample consists of 79 quasars and 273
radio galaxies, and covers a redshift range 0.003<z<3.395. The dichotomy in the
mid-IR properties of low- and high-excitation radio galaxies (LERGs - HERGs) is
analysed for the first time using large complete samples. Our results
demonstrate that a division in the accretion modes of LERGs and HERGs clearly
stands out in the mid-IR-radio plane (L_(22 \mu m) = 5x10^(43) erg s^(-1)).
This means that WISE data can be effectively used to diagnose accretion modes
in radio-loud AGN. The mid-IR properties of all objects were analysed to test
the unification between quasars and radio galaxies, consistent with earlier
work and we argue that smooth torus models best reproduce the observation.
Quasars are found to have higher mid-IR luminosities than radio galaxies. We
also studied all the sources in the near-IR to gain insights into evolution of
AGN host galaxies. A relation found between the near-IR luminosity and
redshift, well-known in the near-IR, is apparent in the two near-IR WISE bands,
supporting the idea that radio sources are hosted by massive elliptical
galaxies that formed their stars at high redshifts and evolved passively
thereafter. Evaluation of the positions of the sample objects in WISE
colour-colour diagrams shows that widely used WISE colour cuts are not
completely reliable in selecting AGN.


title:
Design, implementation, and on-sky performance of an advanced
  apochromatic triplet atmospheric dispersion corrector for the Magellan
  adaptive optics system and VisAO camera

abstract:
  We present the novel design, laboratory verification, and on-sky performance
of our advanced triplet atmospheric dispersion corrector (ADC), an important
component of the Magellan Adaptive Optics system (MagAO), which recently
achieved first light in December 2012. High-precision broadband (0.5-1.0
microns) atmospheric dispersion correction at visible wavelengths is essential
both for wavefront sensing (WFS) on fainter guide stars, and for performing
visible AO science using our VisAO science camera. At 2 airmasses (60 degrees
from zenith) and over the waveband 500-1000 nm, our triplet design produces a
57% improvement in geometric rms spot size, a 33% improvement in encircled
energy at 20 arcsec radius, and a 62% improvement in Strehl ratio when compared
to a conventional doublet design. This triplet design has been fabricated,
tested in the lab, and integrated into the MagAO WFS and the VisAO science
camera. We present on-sky results of the ADC in operation with the MagAO
system. We also present a zero-beam-deviation triplet ADC design, which will be
important to future AO systems that require precise alignment of the optical
axis over a large range of airmasses in addition to diffraction-limited
broadband dispersion correction.


title: Superconductivity in the two-dimensional $t$-$t'$-Hubbard model

abstract:
  Using a recently developed renormalization group method for fermionic
superfluids, we determine conditions for d-wave superconductivity in the
two-dimensional Hubbard model at moderate interaction strength, and we compute
the pairing gap in the superconducting regime. A pairing instability signaled
by a divergent flow in the Cooper channel leads to a superconducting state in
all studied cases. The next-to-nearest neighbor hopping $t'$ plays a crucial
role in the competition between antiferromagnetism and superconductivity. A
sizable $t'$ is necessary to obtain a sizable pairing gap.


title: POMDPs under Probabilistic Semantics

abstract:
  We consider partially observable Markov decision processes (POMDPs) with
limit-average payoff, where a reward value in the interval [0,1] is associated
to every transition, and the payoff of an infinite path is the long-run average
of the rewards. We consider two types of path constraints: (i) quantitative
constraint defines the set of paths where the payoff is at least a given
threshold {\lambda} in (0, 1]; and (ii) qualitative constraint which is a
special case of quantitative constraint with {\lambda} = 1. We consider the
computation of the almost-sure winning set, where the controller needs to
ensure that the path constraint is satisfied with probability 1. Our main
results for qualitative path constraint are as follows: (i) the problem of
deciding the existence of a finite-memory controller is EXPTIME-complete; and
(ii) the problem of deciding the existence of an infinite-memory controller is
undecidable. For quantitative path constraint we show that the problem of
deciding the existence of a finite-memory controller is undecidable.


title: The dynamic pattern of human attention

abstract:
  A mass of traces of human activities show diverse dynamic patterns. In this
paper, we comprehensively investigate the dynamic pattern of human attention
defined by the quantity of interests on subdisciplines in an online academic
communication forum. Both the expansion and exploration of human attention have
a power-law scaling relation with browsing actions, of which the exponent is
close to that in one-dimension random walk. Furthermore, the memory effect of
human attention is characterized by the power-law distributions of both the
return interval time and return interval steps, which is reinforced by studying
the attention shift that monotonically increase with the interval order between
pairs of continuously segmental sequences of expansion. At last, the observing
dynamic pattern of human attention in the browsing process is analytically
described by a dynamic model whose generic mechanism is analogy to that of
human spatial mobility. Thus, our work not only enlarges the research scope of
human dynamics, but also provides an insight to understand the relationship
between the interest transitivity in online activities and human spatial
mobility in real world.


title: Perspectives of dark matter searches with antideuterons

abstract:
  The search for an excess of antideuterons in the cosmic rays flux has been
proposed as a very promising channel for dark matter indirect detection,
especially for WIMPs with a low or intermediate mass. With the development of
the AMS experiment and the proposal of a future dedicated experiment, i.e. the
General Antiparticle Spectrometer (GAPS), there are exciting possibilities for
a dark matter detection in the near future. We give an overview on the
principal issues related both to the antideuterons production in dark matter
annihilation reactions and to their propagation through the interstellar medium
and the heliosphere, with a particular focus on the impact of various solar
modulation models on the flux at Earth. Lastly, we provide an updated
calculation of the reaching capabilities for current and future experiments
compatible with the constraints on the dark matter annihilation cross section
imposed by the antiproton measurements of PAMELA.


title: The Gamma Ray Detection sensitivity of the upgraded VERITAS Observatory

abstract:
  The VERITAS VHE gamma-ray observatory recently completed a major upgrade of
its camera and pattern triggering systems. Bias curve testing of the upgraded
VERITAS Observatory under dark sky conditions indicates a 50% increase in
photon detection efficiency, and a 30% reduction in triggering threshold.
Optimization of analysis of the Crab nebula observations performed in late 2012
and early 2013 is ongoing. A comparison of these results with pre-upgrade Crab
observations can provide the most direct method for quantifying the impact of
the upgrade on VERITAS sensitivity and energy threshold.


title: Quantum transport signatures of chiral edge states in Sr$_2$RuO$_4$

abstract:
  We investigate transport properties of a double quantum dot based Cooper pair
splitter, where the superconducting lead consists of Sr$_2$RuO$_4$. The
proposed device can be used to explore the symmetry of the superconducting
order parameter in Sr$_2$RuO$_4$ by testing the presence of gapless chiral edge
states, which are predicted to exist if the bulk superconductor is described by
a chiral $p$--wave state. The odd orbital symmetry of the bulk order parameter
ensures that we can realize a regime where the electrons tunneling into the
double dot system come from the chiral edge states and thereby leave their
signature in the conductance. The proposed Cooper pair splitter has the
potential to probe order parameters in unconventional superconductors.


title: Non-equilibrium steady states in the quantum XXZ spin chain

abstract:
  We investigate the dynamics of a critical XXZ spin-1/2 chain prepared in an
inhomogeneous initial state with different magnetizations on the left and right
halves. We simulate the real-time evolution using the time-evolving block
decimation (TEBD) method. We follow the front propagation by measuring the
magnetization and entanglement entropy profiles, and we focus on the situation
where the initial state is not fully polarized. At long times, as in the free
fermion case (T. Antal et al. 1999), a large central region develops where
correlations become time-independent and translation invariant. The shape and
speed of the fronts is studied numerically and we evaluate the stationary
current as a function of initial magnetic field and as a function of the
anisotropy \Delta. We compare the results with the conductance of a
Tomonaga-Luttinger liquid, and with the exact free-fermion solution at
\Delta=0. We also investigate the two-point correlations in the stationary
region and find a good agreement with the "twisted" form obtained by J.
Lancaster and A. Mitra (2010) using bosonization. Some deviations are
nevertheless observed for strong currents.