title: A Review of Intelligent Practices for Irrigation Prediction

abstract:
  Population growth and increasing droughts are creating unprecedented strain
on the continued availability of water resources. Since irrigation is a major
consumer of fresh water, wastage of resources in this sector could have strong
consequences. To address this issue, irrigation water management and prediction
techniques need to be employed effectively and should be able to account for
the variabilities present in the environment. The different techniques surveyed
in this paper can be classified into two categories: computational and
statistical. Computational methods deal with scientific correlations between
physical parameters whereas statistical methods involve specific prediction
algorithms that can be used to automate the process of irrigation water
prediction. These algorithms interpret semantic relationships between the
various parameters of temperature, pressure, evapotranspiration etc. and store
them as numerical precomputed entities specific to the conditions and the area
used as the data for the training corpus used to train it. We focus on
reviewing the computational methods used to determine Evapotranspiration and
its implications. We compare the efficiencies of different data mining and
machine learning methods implemented in this area, such as Logistic Regression,
Decision Tress Classifier, SysFor, Support Vector Machine(SVM), Fuzzy Logic
techniques, Artifical Neural Networks(ANNs) and various hybrids of Genetic
Algorithms (GA) applied to irrigation prediction. We also recommend a possible
technique for the same based on its superior results in other such time series
analysis tasks.


title: Supersymmetric R\'enyi Entropy and Defect Operators

abstract:
  We describe the defect operator interpretation of the supersymmetric Renyi
entropies of superconformal field theories in three, four and five dimensions.
The operators involved are supersymmetric codimension-two defects in an
auxiliary Z_n gauge theory coupled to n copies of the SCFT. We compute the
exact expectation values of such operators using localization, and compare the
results to the supersymmetric Renyi entropy. The agreement between the two
implies a relationship between the partition function on a squashed sphere and
the one on a round sphere in the presence of defects.


title:
Exponential inequalities for Mann's iterative scheme with functional
  random errors

abstract:
  In this work, we deal with an iteration method for approximating a fixed
point of a contraction mapping using the Mann's algorithm under functional
random errors. We first show its almost complete convergence to the fixed point
by mean of an exponential inequality and then we specify the induced rate of
convergence. We finally build a confidence set for the fixed point.


title: Abundance of nilpotent orbits in real semisimple Lie algebras

abstract:
  We formulate and prove that there are "abundant" in nilpotent orbits in real
semisimple Lie algebras, in the following sense. If S denotes the collection of
hyperbolic elements corresponding the weighted Dynkin diagrams coming from
nilpotent orbits, then S span the maximally expected space, namely, the
(-1)-eigenspace of the longest Weyl group element. The result is used to the
study of fundamental groups of non-Riemannian locally symmetric spaces.


title: Environmental Modeling Framework using Stacked Gaussian Processes

abstract:
  A network of independently trained Gaussian processes (StackedGP) is
introduced to obtain predictions of quantities of interest with quantified
uncertainties. The main applications of the StackedGP framework are to
integrate different datasets through model composition, enhance predictions of
quantities of interest through a cascade of intermediate predictions, and to
propagate uncertainties through emulated dynamical systems driven by uncertain
forcing variables. By using analytical first and second-order moments of a
Gaussian process with uncertain inputs using squared exponential and polynomial
kernels, approximated expectations of quantities of interests that require an
arbitrary composition of functions can be obtained. The StackedGP model is
extended to any number of layers and nodes per layer, and it provides
flexibility in kernel selection for the input nodes. The proposed nonparametric
stacked model is validated using synthetic datasets, and its performance in
model composition and cascading predictions is measured in two applications
using real data.


title: Moore's Law in CLEAR Light

abstract:
  The inability of Moore's Law and other figure-of-merits (FOMs) to accurately
explain the technology development of the semiconductor industry demands a
holistic merit to guide the industry. Here we introduce a FOM termed CLEAR that
accurately postdicts technology developments since the 1940's until today, and
predicts photonics as a logical extension to keep-up the pace of
information-handling machines. We show that CLEAR
(Capability-to-Latency-Energy-Amount-Resistance) is multi-hierarchical applying
to the device, interconnect, and system level. Being a holistic FOM, we show
that empirical trends such as Moore's Law and the Makimoto's wave are special
cases of the universal CLEAR merit. Looking ahead, photonic board- and
chip-level technologies are able to continue the observed doubling rate of the
CLEAR value every 12 months, while electronic technologies are unable to keep
pace.


title:
Probing cold nuclear matter effects with weak gauge boson production in
  ultra-relativistic heavy-ion collisions

abstract:
  Within the framework of pQCD, we systematically study the $W^{\pm}/Z^0$ boson
production as a probe of cold nuclear matter effects and nuclear parton
distributions in p+Pb and Pb+Pb collisions at the LHC and future colliders. A
detailed analysis at partonic level is performed. Moreover, with a
semi-microscopic KP model of NPDFs, in which several nuclear effects (e.g.
Fermi motion and nuclear binding, the off-shell correction, the nuclear
coherent correction, and the nuclear meson correction) are included, we study
the vector boson rapidity distribution in p+Pb collisions at the LHC, and a
very good agreement with the latest data is found, including the $W$-boson
charge asymmetry.


title: Demo: WiSCoP - Wireless Sensor Communication Prototyping Platform

abstract:
  To enhance system performance of future heterogeneous wireless networks the
co-design of PHY, MAC, and higher layer protocols is inevitable. In this work,
we present WiSCoP - a novel embedded platform for experimentation, prototyping
and implementation of integrated cross-layer network design approaches. WiSCoP
is built on top of a Zynq hardware platform integrated with FMCOMMS1/2/4 RF
front ends. We demonstrate the flexibility of WiSCoP by using it to prototype a
fully standard compliant IEEE 802.15.4 stack with real-time performance and
cross-layer integration.


title: Kochen-Specker sets and Hadamard matrices

abstract:
  We introduce a new class of complex Hadamard matrices which have not been
studied previously. We use these matrices to construct a new infinite family of
parity proofs of the Kochen-Specker theorem. We show that the recently
discovered simple parity proof of the Kochen-Specker theorem is the initial
member of this infinite family.


title: Principles for Measurability in Protocol Design

abstract:
  Measurement has become fundamental to the operation of networks and at-scale
services---whether for management, security, diagnostics, optimization, or
simply enhancing our collective understanding of the Internet as a complex
system. Further, measurements are useful across points of view---from end hosts
to enterprise networks and data centers to the wide area Internet. We observe
that many measurements are decoupled from the protocols and applications they
are designed to illuminate. Worse, current measurement practice often involves
the exploitation of side-effects and unintended features of the network, or, in
other words, the artful piling of hacks atop one another. This state of affairs
is a direct result of the relative paucity of diagnostic and measurement
capabilities built into today's network stack.
  Given our modern dependence on ubiquitous measurement, we propose
measurability as an explicit low-level goal of current protocol design, and
argue that measurements should be available to all network protocols throughout
the stack. We seek to generalize the idea of measurement within protocols,
e.g., the way in which TCP relies on measurement to drive its end-to-end
behavior. Rhetorically, we pose the question: what if the stack had been built
with measurability and diagnostic support in mind? We start from a set of
principles for explicit measurability, and define primitives that, were they
supported by the stack, would not only provide a solid foundation for protocol
design going forward, but also reduce the cost and increase the accuracy of
measuring the network.


title:
Facial Expression Recognition using Convolutional Neural Networks: State
  of the Art

abstract:
  The ability to recognize facial expressions automatically enables novel
applications in human-computer interaction and other areas. Consequently, there
has been active research in this field, with several recent works utilizing
Convolutional Neural Networks (CNNs) for feature extraction and inference.
These works differ significantly in terms of CNN architectures and other
factors. Based on the reported results alone, the performance impact of these
factors is unclear. In this paper, we review the state of the art in
image-based facial expression recognition using CNNs and highlight algorithmic
differences and their performance impact. On this basis, we identify existing
bottlenecks and consequently directions for advancing this research field.
Furthermore, we demonstrate that overcoming one of these bottlenecks - the
comparatively basic architectures of the CNNs utilized in this field - leads to
a substantial performance increase. By forming an ensemble of modern deep CNNs,
we obtain a FER2013 test accuracy of 75.2%, outperforming previous works
without requiring auxiliary training data or face registration.


title:
GOTM: a Goal-Oriented Framework for Capturing Uncertainty of Medical
  Treatments

abstract:
  It has been widely recognized that uncertainty is an inevitable aspect of
diagnosis and treatment of medical disorders. Such uncertainties hence, need to
be considered in computerized medical models. The existing medical modeling
techniques however, have mainly focused on capturing uncertainty associated
with diagnosis of medical disorders while ignoring uncertainty of treatments.
To tackle this issue, we have proposed using a fuzzy-based modeling and
description technique for capturing uncertainties in treatment plans. We have
further contributed a formal framework which allows for goal-oriented modeling
and analysis of medical treatments.


title: An obstruction to Delaunay triangulations in Riemannian manifolds

abstract:
  Delaunay has shown that the Delaunay complex of a finite set of points $P$ of
Euclidean space $\mathbb{R}^m$ triangulates the convex hull of $P$, provided
that $P$ satisfies a mild genericity property. Voronoi diagrams and Delaunay
complexes can be defined for arbitrary Riemannian manifolds. However,
Delaunay's genericity assumption no longer guarantees that the Delaunay complex
will yield a triangulation; stronger assumptions on $P$ are required. A natural
one is to assume that $P$ is sufficiently dense. Although results in this
direction have been claimed, we show that sample density alone is insufficient
to ensure that the Delaunay complex triangulates a manifold of dimension
greater than 2.


title: On the number of near-vector spaces determined by finite fields

abstract:
  A slip on a paper concerning near-vector spaces is fixed. New
characterization of near-vector spaces determined by finite fields is provided
and the number (up to the isomorphism) of these spaces is exhibited.


title:
Comparative study of Mo2Ga2C with superconducting MAX phase Mo2GaC: a
  first-principles calculations

abstract:
  The structural, electronic, optical and thermodynamic properties of Mo2Ga2C
are investigated using density functional theory (DFT) within the generalized
gradient approximation (GGA). The optimized crystal structure is obtained and
the lattice parameters are compared with available experimental data. The
electronic density of states (DOS) is calculated and analyzed. The metallic
behavior for the compound is confirmed and the value of DOS at Fermi level is
4.2 states per unit cell per eV. Technologically important optical parameters
(e.g., dielectric function, refractive index, absorption coefficient, photo
conductivity, reflectivity, and loss function) have been calculated for the
first time. The study of dielectric constant (e1) indicates the Drude-like
behavior. The absorption and conductivity spectra suggest that the compound is
metallic. The reflectance spectrum shows that this compound has the potential
to be used as a solar reflector. The thermodynamic properties such as the
temperature and pressure dependent bulk modulus, Debye temperature, specific
heats, and thermal expansion coefficient of Mo2Ga2C MAX phase are derived from
the quasi-harmonic Debye model with phononic effect also for the first time.
Analysis of Tc expression using available parameter values (DOS, Debye
temperature, atomic mass etc.) suggests that the compound is less likely to be
superconductor.


title: Data mining when each data point is a network

abstract:
  We discuss the problem of extending data mining approaches to cases in which
data points arise in the form of individual graphs. Being able to find the
intrinsic low-dimensionality in ensembles of graphs can be useful in a variety
of modeling contexts, especially when coarse-graining the detailed graph
information is of interest. One of the main challenges in mining graph data is
the definition of a suitable pairwise similarity metric in the space of graphs.
We explore two practical solutions to solving this problem: one based on
finding subgraph densities, and one using spectral information. The approach is
illustrated on three test data sets (ensembles of graphs); two of these are
obtained from standard graph generating algorithms, while the graphs in the
third example are sampled as dynamic snapshots from an evolving network
simulation. We further incorporate these approaches with equation free
techniques, demonstrating how such data mining approaches can enhance
scientific computation of network evolution dynamics.


title: Free Field Realisations of Staggered Modules in 2D Logarithmic CFTs

abstract:
  We utilise bosonic Fock spaces, considered as Virasoro modules, to make free
field realisations of the so-called staggered modules of two-dimensional
logarithmic conformal field theories. A general formula for the
$\beta$-invariant of a staggered Fock module is derived, and found to agree
with values previously known in the literature. In this way a large class of
staggered modules is produced; one which provides an explicit free-field
construction for many of those previously studied. We show how these modules
can arise algebraically by including the modes of weight-$0$ fields into the
algebra.


title:
Symmetry classes of tensors and Semi-direct product of finite abelian
  groups

abstract:
  In the study of symmetry classes of tensors, finding examples of symmetry
classes of tensors that possess an o*-basis is of considerable interest. There
are only few classes of groups that have been provided a necessary and
sufficient condition for having such a basis. There is no general criterion for
any finite groups yet. In this note, we provide a necessary and sufficient
condition for the existence of o*-basis of symmetry classes of tensors
associated with semi-direct product of some finite abelian groups and,
consequently, their wreath product.


title: Power Corrections in the N-jettiness Subtraction Scheme

abstract:
  We discuss the leading-logarithmic power corrections in the $N$-jettiness
subtraction scheme for higher-order perturbative QCD calculations. We compute
the next-to-leading order power corrections for an arbitrary $N$-jet process,
and we explicitly calculate the power correction through
next-to-next-to-leading order for color-singlet production for both $q\bar{q}$
and $gg$ initiated processes. Our results are compact and simple to implement
numerically. Including the leading power correction in the $N$-jettiness
subtraction scheme substantially improves its numerical efficiency. We discuss
what features of our techniques extend to processes containing final-state
jets.


title:
Metric Distortion of Social Choice Rules: Lower Bounds and Fairness
  Properties

abstract:
  We study social choice rules under the utilitarian distortion framework, with
an additional metric assumption on the agents' costs over the alternatives. In
this approach, these costs are given by an underlying metric on the set of all
agents plus alternatives. Social choice rules have access to only the ordinal
preferences of agents but not the latent cardinal costs that induce them.
Distortion is then defined as the ratio between the social cost (typically the
sum of agent costs) of the alternative chosen by the mechanism at hand, and
that of the optimal alternative chosen by an omniscient algorithm. The
worst-case distortion of a social choice rule is, therefore, a measure of how
close it always gets to the optimal alternative without any knowledge of the
underlying costs. Under this model, it has been conjectured that Ranked Pairs,
the well-known weighted-tournament rule, achieves a distortion of at most 3
[Anshelevich et al. 2015]. We disprove this conjecture by constructing a
sequence of instances which shows that the worst-case distortion of Ranked
Pairs is at least 5. Our lower bound on the worst case distortion of Ranked
Pairs matches a previously known upper bound for the Copeland rule, proving
that in the worst case, the simpler Copeland rule is at least as good as Ranked
Pairs. And as long as we are limited to (weighted or unweighted) tournament
rules, we demonstrate that randomization cannot help achieve an expected
worst-case distortion of less than 3. Using the concept of approximate
majorization within the distortion framework, we prove that Copeland and
Randomized Dictatorship achieve low constant factor fairness-ratios (5 and 3
respectively), which is a considerable generalization of similar results for
the sum of costs and single largest cost objectives. In addition to all of the
above, we outline several interesting directions for further research in this
space.


title: Field-Programmable Crossbar Array (FPCA) for Reconfigurable Computing

abstract:
  For decades, advances in electronics were directly driven by the scaling of
CMOS transistors according to Moore's law. However, both the CMOS scaling and
the classical computer architecture are approaching fundamental and practical
limits, and new computing architectures based on emerging devices, such as
resistive random-access memory (RRAM) devices, are expected to sustain the
exponential growth of computing capability. Here we propose a novel
memory-centric, reconfigurable, general purpose computing platform that is
capable of handling the explosive amount of data in a fast and energy-efficient
manner. The proposed computing architecture is based on a uniform, physical,
resistive, memory-centric fabric that can be optimally reconfigured and
utilized to perform different computing and data storage tasks in a massively
parallel approach. The system can be tailored to achieve maximal energy
efficiency based on the data flow by dynamically allocating the basic computing
fabric for storage, arithmetic, and analog computing including neuromorphic
computing tasks.


title: Lower Bounds for Differential Privacy from Gaussian Width

abstract:
  We study the optimal sample complexity of a given workload of linear queries
under the constraints of differential privacy. The sample complexity of a query
answering mechanism under error parameter $\alpha$ is the smallest $n$ such
that the mechanism answers the workload with error at most $\alpha$ on any
database of size $n$. Following a line of research started by Hardt and Talwar
[STOC 2010], we analyze sample complexity using the tools of asymptotic convex
geometry. We study the sensitivity polytope, a natural convex body associated
with a query workload that quantifies how query answers can change between
neighboring databases. This is the information that, roughly speaking, is
protected by a differentially private algorithm, and, for this reason, we
expect that a "bigger" sensitivity polytope implies larger sample complexity.
Our results identify the mean Gaussian width as an appropriate measure of the
size of the polytope, and show sample complexity lower bounds in terms of this
quantity. Our lower bounds completely characterize the workloads for which the
Gaussian noise mechanism is optimal up to constants as those having
asymptotically maximal Gaussian width.
  Our techniques also yield an alternative proof of Pisier's Volume Number
Theorem which also suggests an approach to improving the parameters of the
theorem.


title:
On-chip multiplexed multiple entanglement sources in a single silicon
  nanowire

abstract:
  Silicon-on-chip (SOI) photonic circuit is the most promising platform for
scalable quantum information technology for its low loss, small footprint,
CMOS-compatible and telecom communications techniques compatible. Multiple
multiplexed entanglement sources include: energy-time, time-bin and
polarization entangled sources based on 1-cm length single silicon nanowire,
all these sources are compatible with (100GHz) dense-wave-division-multiplexing
(DWDM) system. Different methods such as two photon interference pattern,
Bell-Inequality and quantum state tomography are used to characterize the
quality of these entangled sources. Multiple entanglements are generated over
more than 5 channel pairs with high raw (net) visibilities around 97% (100%).
The emission spectral brightness of these entangled sources reaches 4.2*105
/(s.nm.mW). The quality of the photon pair generated in continuous and pulse
pump regimes are compared. High qualities of these multiplexed entanglement
sources make them very promising to be used in future minimized quantum
communication and computation systems.


title:
Solida: A Blockchain Protocol Based on Reconfigurable Byzantine
  Consensus

abstract:
  The decentralized cryptocurrency Bitcoin has experienced great success but
also encountered many challenges. One of the challenges has been the long
confirmation time. Another challenge is the lack of incentives at certain steps
of the protocol, raising concerns for transaction withholding, selfish mining,
etc. To address these challenges, we propose Solida, a decentralized blockchain
protocol based on reconfigurable Byzantine consensus augmented by
proof-of-work. Solida improves on Bitcoin in confirmation time, and provides
safety and liveness assuming the adversary control less than (roughly)
one-third of the total mining power.


title:
A study of gamma ray bursts with afterglow plateau phases associated
  with supernovae

abstract:
  The analysis of 176 gamma ray burst (GRB) afterglow plateaus observed by
Swift from GRBs with known redshifts revealed that the subsample of long GRBs
associated with supernovae (LONG-SNe) - 19 events - presents a very high
correlation coefficient between the luminosity at the end of the plateau phase
La and the end time of the plateau T*a, hereafter Dainotti relation.
Furthermore, these SNe Ib/c associated with GRBs also obey the peak-magnitude
stretch relation, similar to that used to standardize the SNe Ia. We here
investigate a category of GRBs with plateau and associated with SNe to compare
the Dainotti correlation for this sample with the correlation for long GRBs for
which no associated SN has been observed (hereafter LONG-NO-SNe, 128 GRBs) and
to check whether there is a difference among these sub-samples. We first
adopted a non-parametric statistical method to take redshift evolution into
account and to check if and how this effect may steepen the slope for the
LONG-NO-SNe sample. Therefore, removing selection bias is the first step before
any comparison among samples observed at different redshifts could be properly
performed. Then, we applied the T-student test to evaluate a statistical
difference between the slopes of the two samples. We demonstrate that there is
no evolution for the slope of the LONG-NO-SNe sample and no evolution is
expected for the LONG-SNe sample at small redshifts. The difference between the
slope of the LONG-NO-SNe and the slope of LONG-SNe with firm spectral detection
of SN components, is statistically significant. This possibly suggests that,
unlike LONG-NO-SNe, LONG-SNe with firm spectroscopic features of the associated
SNe might not require a standard energy reservoir in the plateau phase.
Therefore, this analysis may open new perspectives in future theoretical
investigations of the GRBs with plateau emission and that are associated with
SNe.


title: New Tl2LaBr5: Ce3+ Crystal Scintillator for {\gamma}-Rays Detection

abstract:
  In this study we present our preliminary report on the scintillation
properties of new Ce-doped Tl2LaBr5 single crystal. Two zones vertical Bridgman
technique is used for the growth of this compound. Pure and Ce-doped samples
showed maximum emission peaks at 435 nm and 415 nm, respectively. Best light
yield of 43,000+-4300 ph/MeV with 6.3% (FWHM) energy resolution is obtained for
5% Ce-doped sample under {\gamma}-ray excitation. Single exponential decay time
constant of 25 ns is observed for 5% Ce doped sample. Effective Z-number is
found to be 67, therefore efficient detection of X- and {\gamma}-ray will be
possible. Preliminary results revealed that this compound will be an ideal
candidate for the medical imaging techniques. Further investigations are under
way for the determination of optimized conditions of this compound.


title: A Dedekind Domain with Nontrivial Class Group

abstract:
  Analytic properties of function spaces over the real and the complex fields
are different in some ways. This reflects in algebraic properties which are
different at times and similar in some other respects. For instance, the ring
of real-valued continuous functions on a closed interval like $[0,1]$ behaves
similarly to the corresponding ring of complex-valued functions; they depend
only on the topology of $[0,1]$. The ring $\mathbf{R}[X,Y]/(X^2+Y^2-1)$ of
real-valued polynomial functions on the unit circle is not a unique
factorization domain - witness the equation $$\cos^2(t) = (1+ \sin(t))(1-
\sin(t)).$$ On the other hand, the ring $\mathbf{C}[X,Y]/(X^2+Y^2-1) \cong
\mathbf{C}[X+iY, 1/(X+iY)]$ is a principal ideal domain. Again, the rings of
convergent power series (over either of these fields) with radius of
convergence larger than some number $\rho$ is a Euclidean domain (and hence, a
principal ideal domain) - this can be seen by using for a Euclidean "norm"
function, the function which counts zeroes (with multiplicity) in the disc $|z|
\leq \rho$.
  In this note, we consider the rings $C_{an}(S^1;\mathbf{R})$ of real-analytic
functions on the unit circle $\mathit{S}^1$ which are real-valued and the
corresponding ring $C_{an}(S^1; \mathbf{C})$ of analytic functions that are
complex-valued. We will see that the latter is a principal ideal domain while
the former is a Dedekind domain which is not a principal ideal domain - the
class group having order $2$.


title:
Single-photon quantum nonlocality: Violation of the
  Clauser-Horne-Shimony-Holt inequality using feasible measurement setups

abstract:
  We investigate quantum nonlocality of a single-photon entangled state under
feasible measurement techniques consisting of on-off and homodyne detections
along with unitary operations of displacement and squeezing. We test for a
potential violation of the Clauser-Horne-Shimony-Holt (CHSH) inequality, in
which each of the bipartite party has a freedom to choose between 2 measurement
settings, each measurement yielding a binary outcome. We find that
single-photon quantum nonlocality can be detected when two or less of the 4
total measurements are carried out by homodyne detection. The largest violation
of the CHSH inequality is obtained when all four measurements are
squeezed-and-displaced on-off detections. We test robustness of violations
against imperfections in on-off detectors and single-photon sources, finding
that the squeezed-and-displaced measurement schemes perform better than the
displacement-only measurement schemes.


title: Expansivity and Shadowing in Linear Dynamics

abstract:
  In the early 1970's Eisenberg and Hedlund investigated relationships between
expansivity and spectrum of operators on Banach spaces. In this paper we
establish relationships between notions of expansivity and hypercyclicity,
supercyclicity, Li-Yorke chaos and shadowing. In the case that the Banach space
is $c_0$ or $\ell_p$ ($1 \leq p < \infty$), we give complete characterizations
of weighted shifts which satisfy various notions of expansivity. We also
establish new relationships between notions of expansivity and spectrum.
Moreover, we study various notions of shadowing for operators on Banach spaces.
In particular, we solve a basic problem in linear dynamics by proving the
existence of nonhyperbolic invertible operators with the shadowing property.
This also contrasts with the expected results for nonlinear dynamics on compact
manifolds, illuminating the richness of dynamics of infinite dimensional linear
operators.


title:
Ground-Based Mid-Infrared Study of the Compton-Thick AGN in M51 at
  10-100 pc Scale

abstract:
  We performed near-diffraction-limited (~0.4 FWHM) N-band imaging of one of
the nearest Active Galactic Nucleus (AGN) in M51 with 8.2m Subaru telescope to
study the nuclear structure and spectral energy distribution (SED) at 8-13 um.
We found that the nucleus is composed of an unresolved core (at ~13 pc
resolution, or intrinsic size corrected for the instrumental effect of <6 pc)
and an extended halo (at a few tens pc scale), and each of their SEDs is almost
flat. We examined the SED by comparing with the archival Spitzer IRS spectrum
processed to mimic our chopping observation of the nucleus, and the published
radiative-transfer model SEDs of the AGN clumpy dusty torus. The halo SED is
likely due to circumnuclear star formation showing little Polycyclic Aromatic
Hydrocarbon (PAH) emission due to the AGN. The core SED is likely dominated by
the AGN because of the following two reasons. Firstly, the clumpy torus model
SEDs can reproduce the red mid-infrared continuum with apparently moderate
silicate 9.7 um absorption. Secondly, the core 12 um luminosity and the
absorption-corrected X-ray luminosity at 2-10 keV in the literature follow the
mid-infrared-X-ray luminosity correlation known for the nearby AGNs including
the Compton-thick ones.


title: Symmetry Reduction in the Quantum Kagome Antiferromagnet Herbertsmithite

abstract:
  Employing complementary torque magnetometry and electron spin resonance on
single crystals of herbertsmithite, the closest realization to date of a
quantum kagome antiferromagnet featuring a spin-liquid ground state, we provide
novel insight into different contributions to its magnetism. At low
temperatures, two distinct types of defects with different magnetic couplings
to the kagome spins are found. Surprisingly, their magnetic response
contradicts the three-fold symmetry of the ideal kagome lattice, suggesting the
presence of a global structural distortion that may be related to the
establishment of the spin-liquid ground state.


title: Neutrinoless double beta decay and neutrino mass

abstract:
  The observation of neutrinoless double beta decay will have important
consequences. First it will signal that lepton number is not conserved and the
neutrinos are Majorana particles. Second, it represents our best hope for
determining the absolute neutrino mass scale at the level of a few tens of meV.
To achieve the last goal, however, certain hurdles have to be overcome
involving particle, nuclear and experimental physics. Particle physics is
important since it provides the mechanisms for neutrinoless double beta decay.
In this review we emphasize the light neutrino mass mechanism. Nuclear physics
is important for extracting the useful information from the data. One must
accurately evaluate the relevant nuclear matrix elements, a formidable task. To
this end, we review the recently developed sophisticated nuclear structure
approaches, employing different methods and techniques of calculation. We also
examine the question of quenching of the axial vector coupling constant, which
may have important consequences on the size of the nuclear matrix elements.
From an experimental point of view it is challenging, since the life times are
extremely long and one has to fight against formidable backgrounds. One needs
large isotopically enriched sources and detectors with good energy resolution
and very low background.


title:
MIMO Channel Reconstruction from Lower Dimensional Multiple Antenna
  Measurements

abstract:
  A method for reconstructing multiple-input multiple-output (MIMO) channel
correlation matrices from lower dimensional channel measurements is presented.
Exploiting the symmetry of correlation matrix structure enables reproducing
higher dimensional MIMO channel matrices from available lower order
measurements. This leads to practically important applications allowing
prediction of higher dimensional MIMO system capacity. In particular, we study
Kronecker-type MIMO channels suitable for reconstructing full channel matrices
from partial information about transmit-receive fading in spatial and
polarimetric domains and analyze validity conditions for such models. One of
the important channel conditions is Doppler frequency related to
non-stationarity in the environment. We present simulations of cluster-type
scattering model using 2x2 MIMO channel correlation matrices to predict
performance of 2x4 MIMO system including recovery of angular power spectrum. An
example of dual circular polarized 2x4 MIMO land mobile satellite measurements
in 2.5 GHz frequency band illustrates applicability of the method to
reconstruct spatial and polarimetric channel correlation matrices for
estimating ergodic channel capacity from single-antenna or uni-polarized
measurements.


title: Efficient Device-to-Device (D2D) Offloading Mechanism in LTE Networks

abstract:
  With the increase in mobile traffic and the bandwidth demand,
Device-to-Device (D2D) communication underlaying Long Term Evolution (LTE)
networks has gained tremendous interest by the researchers, cellular operators
and equipment manufacturers. However, the application of D2D communication has
been limited to emergency services and it needs to be explored in commercial
applications. In this paper, we have introduced a novel commercial D2D
offloading scheme for users who may be at cell edges, inside isolated
environments like basement or large buildings, etc. Our proposed scheme
discovers the available idle D2D neighbors for such poor channel users and
offloads its data to the D2D neighbor, which then relays the data to the eNB.
We have developed a D2D offloading simulation model in MATLAB, have conducted
extensive simulations and have observed that the proposed scheme can provide
better efficiency to the network as well as satisfy the poor channel users
significantly.


title:
A Revolutionary Rural Agricultural Participatory Sensing Approach Using
  Delay Tolerant Networks

abstract:
  To provide sustainable digital agro-advisory services to farmers, seamless
flow of information from the farmers to the experts/expert systems, and vice
versa is required. The query generated by the farmers, which may contain
multimedia data regarding disease or pest attack in the crops is required to be
transmitted to the experts for analysis. Further, after analyzing the query, an
alert or advice from the expert system is required to be communicated back to
the farmers within some tolerable delay. However, in a country like India,
network connectivity is extremely poor in several agricultural regions which
makes the end-to-end connectivity between the farmers and the expert system
intermittent. Therefore, providing agro-advisory services to farmers in a
reasonable time becomes a challenge. In this paper, we propose a Delay Tolerant
Network (DTN) based relay application model which enables agro-advisory
services to farmers located in \emph{No-network} or \emph{Poor-network} zones.
In the proposed model, end-to-end communication has been enabled with the help
of Device to Device (D2D) communication and by introducing mobile relay nodes
which can carry the queries (responses), from (to) the poor or no network zones
to (from) the zones where communication is possible. Implementation of this
model has been presented for the tea farmers of West Bengal and Assam, which
can be extended for various other applications in future.


title: Octahedral developing of knot complement I: pseudo-hyperbolic structure

abstract:
  It is known that a knot complement can be decomposed into ideal octahedra
along a knot diagram. A solution to the gluing equations applied to this
decomposition gives a pseudo-developing map of the knot complement, which will
be called a pseudo-hyperbolic structure. In this paper, we study these in terms
of segment and region variables which are motivated by the volume conjecture so
that we can compute complex volumes of all the boundary parabolic
representations explicitly. We investigate the octahedral developing and
holonomy representation carefully, and obtain a concrete formula of Wirtinger
generators for the representation and also cusp shape. We demonstrate explicit
solutions for $T(2,N)$ torus knots, $J(N,M)$ knots and also for other
interesting knots as examples. Using these solutions we can observe the
asymptotic behavior of complex volumes and cusp shapes of these knots. We note
that this construction works for any knot or link, and reflects systematically
both geometric properties of the knot complement and combinatorial aspect of
the knot diagram.


title: Spin-orbit coupling in {Mo$_3$S$_7$(dmit)$_3$}

abstract:
  Spin-orbit coupling in crystals is known to lead to unusual direction
dependent exchange interactions, however understanding of the consequeces of
such effects in molecular crystals is incomplete. Here we perform four
component relativistic density functional theory computations on the
multi-nuclear molecular crystal {Mo$_3$S$_7$(dmit)$_3$} and show that both
intra- and inter-molecular spin-orbit coupling are significant. We determine a
long-range relativistic single electron Hamiltonian from first principles by
constructing Wannier spin-orbitals. We analyse the various contributions
through the lens of group theory. Intermolecular spin-orbit couplings like
those found here are known to lead to quantum spin-Hall and topological
insulator phases on the 2D lattice formed by the tight-binding model predicted
for a single layer of {Mo$_3$S$_7$(dmit)$_3$}.


title: Einstein-Bose condensation of Onsager vortices

abstract:
  We have studied statistical mechanics of a gas of vortices in two dimensions.
We introduce a new observable---a condensate fraction of Onsager vortices---to
quantify the emergence of the vortex condensate. The condensation of Onsager
vortices is most transparently observed in a single vortex species system and
occurs due to a competition between solid body rotation (c.f. vortex lattice)
and potential flow (c.f. multiple quantum vortex state). We propose an
experiment to observe the condensation transition of the vortices in such a
single vortex species system.


title: Transitional boundary layers in low-Prandtl-number convection

abstract:
  The boundary layer structure of the velocity and temperature fields in
turbulent Rayleigh-Benard flows in closed cylindrical cells of unit aspect
ratio is revisited from a transitional and turbulent viscous boundary layer
perspective. When the Rayleigh number is large enough, the dynamics at the
bottom and top plates can be separated into an impact region of downwelling
plumes, an ejection region of upwelling plumes and an interior region away from
the side walls. The latter is dominated by the shear of the large-scale
circulation (LSC) roll which fills the whole cell and continuously varies its
orientation. The working fluid is liquid mercury or gallium at a Prandtl number
Pr=0.021 for Rayleigh numbers between Ra=3e+5 and 4e+8. The generated turbulent
momentum transfer corresponds to macroscopic flow Reynolds numbers with values
between 1800 and 46000. It is shown that the viscous boundary layers for the
largest Rayleigh numbers are highly transitional and obey properties that are
directly comparable to transitional channel flows at friction Reynolds numbers
Re_tau slightly below 100. The transitional character of the viscous boundary
layer is also underlined by the strong enhancement of the fluctuations of the
wall stress components with increasing Rayleigh number. An extrapolation of our
analysis data suggests that the friction Reynolds number Re_tau in the velocity
boundary layer can reach values of 200 for Ra beyond 1e+11. Thus the viscous
boundary layer in a liquid metal flow would become turbulent at a much lower
Rayleigh number than for turbulent convection in gases and gas mixtures.


title:
The stability of fixed points on switching manifolds of piecewise-smooth
  continuous maps

abstract:
  This paper concerns piecewise-smooth maps on $\mathbb{R}^d$ that are
continuous but not differentiable on switching manifolds (where the functional
form of the map changes). The stability of fixed points on switching manifolds
is investigated in scenarios for which one-sided derivatives are locally
bounded. The lack of differentiability allows fixed points to be Milnor
attractors despite being unstable. For this reason a measure-theoretic notion
of stability is considered in addition to standard notions of stability.
Locally the map is well approximated by a piecewise-linear map that is linearly
homogeneous when the fixed point is at the origin. For the class of continuous,
linearly homogeneous maps, and $o({\bf x})$ perturbations of these maps, a
sufficient condition for the exponential stability of the origin is obtained.
It is shown how the stability of the origin can be determined by analysing
invariant probability measures of a map on $\mathbb{S}^{d-1}$. The results are
illustrated for the two-dimensional border-collision normal form. The fixed
point may be asymptotically stable even if both smooth components of the map
are area-expanding, and unstable even if it is the $\omega$-limit set of almost
all points in $\mathbb{R}^d$.


title:
Lyapunov-based Stability of Feedback Interconnections of Negative
  Imaginary Systems

abstract:
  Feedback control systems using sensors and actuators such as piezoelectric
sensors and actuators, micro-electro-mechanical systems (MEMS) sensors and
opto-mechanical sensors, are allowing new advances in designing such high
precision technologies. The negative imaginary control systems framework allows
for robust control design for such high precision systems in the face of
uncertainties due to un modelled dynamics. The stability of the feedback
interconnection of negative imaginary systems has been well established in the
literature. However, the proofs of stability feedback interconnection which are
used in some previous papers have a shortcoming due to a matrix inevitability
issue. In this paper we provide a new and correct Lyapunobv-based proof of one
such result and show that the result is still true.


title:
Water/ice phase transition: the role of Zirconium Acetate, a compound
  with ice-shaping properties

abstract:
  Few compounds feature ice-shaping properties. The only compound reported to
have ice-shaping properties similar to that of ice-shaping proteins,
encountered in many organisms living at low temperature, is Zirconium Acetate.
When a Zirconium Acetate solution is frozen, oriented and perfectly hexagonal
ice crystals can be formed and their growth follows the temperature gradient.
To shed light on the water/ice phase transition while freezing Zirconium
Acetate solution we carried out differential scanning calorimetry measurements.
From our results, we estimate how many water molecules do not freeze because of
their interaction with Zr cations. We estimate the colligative properties of
the Zr concentration on the apparent critical temperature. We further show the
phase transition is unaffected by the nature of the base which is used to
adjust the pH. Our results provide thus new hints on the ice-shaping mechanism
of Zirconium Acetate.


title: Nondegeneracy of positive solutions to nonlinear Hardy-Sobolev equations

abstract:
  In this note, we prove that the kernel of the linearized equation around a
positive energy solution in $\mathbb{R}^n$, $n\geq 3$, to $-\Delta
W-\gamma|x|^{-2}V=|x|^{-s}W^{2^\star(s)-1}$ is one-dimensional when
$s+\gamma>0$. Here, $s\in [0,2)$, $0\leq\gamma<(n-2)^2/4$ and
$2^\star(s)=2(n-s)/(n-2)$.


title: Fluidization and Active Thinning by Molecular Kinetics in Active Gels

abstract:
  We derive the constitutive equations of an active polar gel from a model for
the dynamics of elastic molecules that link polar elements. Molecular binding
kinetics induces the fluidization of the material, giving rise to Maxwell
viscoelasticity and, provided that detailed balance is broken, to the
generation of active stresses. We give explicit expressions for the transport
coefficients of active gels in terms of molecular properties, including
nonlinear contributions on the departure from equilibrium. In particular, when
activity favors linker unbinding, we predict a decrease of viscosity with
activity - active thinning - of kinetic origin, which could explain some
experimental results on the cell cortex. By bridging the molecular and
hydrodynamic scales, our results could help understand the interplay between
molecular perturbations and the mechanics of cells and tissues.


title: Multidimensional Borg--Levinson theorems for unbounded potentials

abstract:
  We prove that the Dirichlet eigenvalues and Neumann boundary data of the
corresponding eigenfunctions of the operator $-\Delta + q$, determine the
potential $q$, when $q \in L^{n/2}(\Omega,\mathbb{R})$ and $n \geq 3$. We also
consider the case of incomplete spectral data, in the sense that the above
spectral data is unknown for some finite number of eigenvalues. In this case we
prove that the potential $q$ is uniquely determined for $q \in
L^p(\Omega,\mathbb{R})$ with $p=n/2$, for $n\geq4$ and $p>n/2$, for $n=3$.


title: Prime Difference Champions

abstract:
  A Prime Difference Champion (PDC) for primes up to $x$ is defined to be any
element of the set of one or more differences that occur most frequently among
all positive differences between primes $\le x$. Assuming an appropriate form
of the Hardy-Littlewood Prime Pair Conjecture we can prove that for
sufficiently large $x$ the PDCs run through the primorials. Numerical results
also provide evidence for this conjecture as well as other interesting
phenomena associated with prime differences. Unconditionally we prove that the
PDCs go to infinity and further have asymptotically the same number of prime
factors when counted logarithmically as the primorials.


title:
On the resolution of fan algebras of principal ideals over a Noetherian
  ring

abstract:
  We construct explicitly a resolution of a fan algebra of principal ideals
over a Noetherian ring for the case when the fan is a proper rational cone in
the plane. Under some mild conditions on the initial data, we show that this
resolution is minimal.


title:
Copolymerization of partly incompatible monomers: an insight from
  computer simulations

abstract:
  In this work we used dissipative particle dynamics simulations to study the
copolymerization process in the presence of spatial heterogeneities caused by
incompatibility between polymerizing monomers. The polymer sequence details as
well as the resulting system spatial structure in the case if phase segregation
occurs during the chain growth can be predicted using the method. We performed
the model verification with the available literature data on styrene-acrylic
acid copolymerization in the bulk and a very good agreement between
experimental and simulated data for both chain average composition and triad
fractions was observed. Next, we studied the system properties for a model
symmetric reaction process with the reactivity ratios r1 = r2 = 0.5 at
different compositions and Flory-Huggins parameters \c{hi}. We found that the
system average copolymer "composition-feed" curve does not depend on the
\c{hi}-value, but there are significant changes in the copolymer sequences
caused by the density fluctuations. Finally, we investigated the formation of
gradient copolymers during living styrene-acrylic acid copolymerization at a
highly asymmetrical feed composition.


title:
Improved measurements of branching fractions for $\eta_c\to\phi\phi$ and
  $\omega\phi$

abstract:
  Using $(223.7\pm1.4)\times10^6$ J/$\psi$ events accumulated with the BESIII
detector, we study $\eta_c$ decays to $\phi\phi$ and $\omega\phi$ final states.
The branching fraction of $\eta_c\to\phi\phi$ is measured to be
$Br(\eta_c\to\phi\phi)=(2.5\pm0.3^{+0.3}_{-0.7}\pm0.6)\times10^{-3}$, where the
first uncertainty is statistical, the second is systematic, and the third is
from the uncertainty of $Br(J/\psi\to\gamma\eta_c)$. No significant signal for
the double OZI-suppressed decay of $\eta_c\to\omega\phi$ is observed, and the
upper limit on the branching fraction is determined to be
$Br(\eta_c\to\omega\phi)<2.5\times 10^{-4}$ at the 90\% confidence level.


title:
Riemannian Invariants that Characterize Rotational Symmetries of the
  Standard Sphere

abstract:
  Inspired by the Lichnerowicz-Obata theorem for the first eigenvalue of the
Laplacian, we define a new family of invariants $\{\Omega_k(g)\}$ for closed
Riemannian manifolds. The value of $\Omega_k(g)$ delicately reflects the
spherical part of the manifold. Indeed, $\Omega_1(g)$ and $\Omega_2(g)$
characterize the standard sphere.


title:
Cathodoluminescence spectroscopy of plasmonic patch antennas: towards
  lower order and higher energies

abstract:
  We report on the cathodoluminescence characterization of Au, Al and a Au/Al
bimetal circular plasmonic patch antennas, with disk diameter ranging from 150
to 900 nm. It allows us access to monomode operation of the antennas down to
the fundamental dipolar mode, in contrast to previous studies on similar
systems. Moreover we show that we can can shift the operation range of the
antennas towards the blue spectral range by using Al. Our experimental results
are compared to a semi-analytical model that provides qualitative insight on
the mode structure sustained by the antennas.


title: Master formulas for the dressed scalar propagator in a constant field

abstract:
  The worldline formalism has previously been used for deriving compact master
formulas for the one-loop N-photon amplitudes in both scalar and spinor QED,
and in the vacuum as well as in a constant external field. For scalar QED,
there is also an analogous master formula for the propagator dressed with N
photons in the vacuum. Here, we extend this master formula to include a
constant field. The two-photon case is worked out explicitly, yielding an
integral representation for the Compton scattering cross section in the field
suitable for numerical integration in the full range of electric and magnetic
field strengths.


title:
Bridging single- and multireference domains for electron correlation:
  spin-extended coupled electron pair approximation

abstract:
  We propose a size-consistent generalization of the recently developed
spin-extended configuration interaction with singles and doubles (ECISD), where
a CI wave function is explicitly spin-projected. The size-consistent effect is
effectively incorporated by treating quadruples within the formulation of
coupled electron pair approximation. As in coupled-cluster theory, quadruple
excitations are approximated by a disconnected product of double excitations.
Despite its conceptual similarity to the standard single- and multireference
analogues, such a generalization requires careful derivation, as the
spin-projected CI space is non-orthogonal and overcomplete. Although our
methods generally yield better results than ECISD, size-consistency is only
approximately retained because the action of a symmetry-projection operator is
size-inconsistent. In this work, we focus on simple models where
exclusion-principle-violating terms, which eliminate undesired contributions to
the correlation effects, are either completely neglected or averaged. These
models possess an orbital-invariant energy functional that is to be minimized
by diagonalizing an energy-shifted effective Hamiltonian within the singles and
doubles manifold. This allows for a straightforward generalization of the ECISD
analytical gradients needed to determine molecular properties and geometric
optimization. Given the multireference nature of the spin-projected
Hartree--Fock method, the proposed approaches are expected to handle static
correlation, unlike single-reference analogues. We critically assess the
performance of our methods using dissociation curves of molecules,
singlet-triplet splitting gaps, hyperfine coupling constants, and the chromium
dimer. The size-consistency and size-extensivity of the methods are also
discussed.


title: Futaki invariant for Fedosov's star products

abstract:
  We study obstructions to the existence of closed Fedosov's star products on a
given K\"ahler manifold. In our previous paper, we proved that the Levi-Civita
connection of a K\"ahler manifold will produce a closed (in the sense of
Connes-Flato-Sternheimer) Fedosov's star product only if it is a zero of the
Cahen-Gutt moment map on the space of symplectic connections. By analogy with
the Futaki invariant obstructing the existence of cscK metrics, we build an
obstruction for the existence of zero of the moment map and hence for the
existence of closed Fedosov's star products on a K\"ahler manifold.


title:
Optical and microwave control of germanium-vacancy center spins in
  diamond

abstract:
  A solid-state system combining a stable spin degree of freedom with an
efficient optical interface is highly desirable as an element for integrated
quantum optical and quantum information systems. We demonstrate a bright color
center in diamond with excellent optical properties and controllable electronic
spin states. Specifically, we carry out detailed optical spectroscopy of a
Germanium Vacancy (GeV) color center demonstrating optical spectral stability.
Using an external magnetic field to lift the electronic spin degeneracy, we
explore the spin degree of freedom as a controllable qubit. Spin polarization
is achieved using optical pumping, and a spin relaxation time in excess of 20
$\mu$s is demonstrated. Optically detected magnetic resonance (ODMR) is
observed in the presence of a resonant microwave field. ODMR is used as a probe
to measure the Autler-Townes effect in a microwave-optical double resonance
experiment. Superposition spin states were prepared using coherent population
trapping, and a pure dephasing time of about 19 ns was observed. Prospects for
realizing coherent quantum registers based on optically controlled GeV centers
are discussed.


title:
The Time Complexity of Permutation Routing via Matching, Token Swapping
  and a Variant

abstract:
  The problems of Permutation Routing via Matching and Token Swapping are
reconfiguration problems on graphs. This paper is concerned with the complexity
of those problems and a colored variant. For a given graph where each vertex
has a unique token on it, those problems require to find a shortest way to
modify a token placement into another by swapping tokens on adjacent vertices.
While all pairs of tokens on a matching can be exchanged at once in Permutation
Routing via Matching, Token Swapping allows only one pair of tokens can be
swapped. In the colored version, vertices and tokens are colored and the goal
is to relocate tokens so that each vertex has a token of the same color. We
investigate the time complexity of several restricted cases of those problems
and show when those problems become tractable and remain intractable.


title: Ahlfors problem for polynomials

abstract:
  We raise a conjecture that asymptotics for Chebyshev polynomials in a complex
domain can be given in terms of the reproducing kernels of a suitable Hilbert
space of analytic functions in this domain. It is based on two classical
results due to Garabedian and Widom. To support this conjecture we study
asymptotics for Ahlfors extremal polynomials in the complement to a system of
intervals on $\mathbb R$, arcs on $\mathbb T$, and its continuous counterpart.


title:
Measurement of the prompt $J/\psi$ pair production cross-section in $pp$
  collisions at $\sqrt{s} = 8$ TeV with the ATLAS detector

abstract:
  The production of two prompt $J/\psi$ mesons, each with transverse momenta
$p_{\mathrm{T}}>8.5$ GeV and rapidity $|y| < 2.1$, is studied using a sample of
proton-proton collisions at $\sqrt{s} = 8$ TeV, corresponding to an integrated
luminosity of 11.4 fb$^{-1}$ collected in 2012 with the ATLAS detector at the
LHC. The differential cross-section, assuming unpolarised $J/\psi$ production,
is measured as a function of the transverse momentum of the
lower-$p_{\mathrm{T}}$ $J/\psi$ meson, di-$J/\psi$ $p_{\mathrm{T}}$ and mass,
the difference in rapidity between the two $J/\psi$ mesons, and the azimuthal
angle between the two $J/\psi$ mesons. The fraction of prompt pair events due
to double parton scattering is determined by studying kinematic correlations
between the two $J/\psi$ mesons. The total and double parton scattering
cross-sections are compared with predictions. The effective cross-section of
double parton scattering is measured to be $\sigma_{\mathrm{eff}} = 6.3 \pm 1.6
\mathrm{(stat)} \pm 1.0 \mathrm{(syst)}$ mb.


title: Open spin chains with dynamic lattice supersymmetry

abstract:
  The quantum spin $1/2$ XXZ chain with anisotropy parameter $\Delta=-1/2$
possesses a dynamic supersymmetry on the lattice. This supersymmetry and a
generalisation to higher spin are investigated in the case of open spin chains.
A family of non-diagonal boundary interactions that are compatible with the
lattice supersymmetry and depend on several parameters is constructed. The
cohomology of the corresponding supercharges is explicitly computed as a
function of the parameters and the length of the chain. For certain specific
values of the parameters, this cohomology is shown to be non-trivial. This
implies that the spin-chain ground states are supersymmetry singlets. Special
scalar products involving an arbitrary number of these supersymmetry singlets
for chains of different lengths are exactly computed. As a physical
application, the logarithmic bipartite fidelity of the open quantum spin $1/2$
XXZ chain with $\Delta=-1/2$ and special diagonal boundary interactions is
determined.


title: Gaia data release 1, the photometric data

abstract:
  Context. This paper presents an overview of the photometric data that are
part of the first Gaia data release. Aims. The principles of the processing and
the main characteristics of the Gaia photometric data are presented. Methods.
The calibration strategy is outlined briefly and the main properties of the
resulting photometry are presented. Results. Relations with other broadband
photometric systems are provided. The overall precision for the Gaia photometry
is shown to be at the milli-magnitude level and has a clear potential to
improve further in future releases.


title: Amplified opto-mechanical transduction of virtual radiation pressure

abstract:
  Here we describe how, utilizing a time-dependent opto-mechanical interaction,
a mechanical probe can provide an amplified measurement of the virtual photons
dressing the quantum ground state of an ultra strongly-coupled light-matter
system. We calculate the thermal noise tolerated by this measurement scheme,
and discuss a range of experimental setups in which it could be realized.


title: A series of maximum entropy upper bounds of the differential entropy

abstract:
  We present a series of closed-form maximum entropy upper bounds for the
differential entropy of a continuous univariate random variable and study the
properties of that series. We then show how to use those generic bounds for
upper bounding the differential entropy of Gaussian mixture models. This
requires to calculate the raw moments and raw absolute moments of Gaussian
mixtures in closed-form that may also be handy in statistical machine learning
and information theory. We report on our experiments and discuss on the
tightness of those bounds.


title: The $\rho$-meson light-cone distribution amplitudes from lattice QCD

abstract:
  We present the results of a lattice study of the normalization constants and
second moments of the light-cone distribution amplitudes of longitudinally and
transversely polarized $\rho$ mesons. The calculation is performed using two
flavors of dynamical clover fermions at lattice spacings between
$0.060\,\text{fm}$ and $0.081\,\text{fm}$, different lattice volumes up to
$m_\pi L = 6.7$ and pion masses down to $m_\pi=150\,\text{MeV}$. Bare lattice
results are renormalized non-perturbatively using a variant of the RI'-MOM
scheme and converted to the $\overline{\text{MS}}$ scheme. The necessary
conversion coefficients, which are not available in the literature, are
calculated. The chiral extrapolation for the relevant decay constants is worked
out in detail. We obtain for the ratio of the tensor and vector coupling
constants $f_\rho^T/f_\rho^{\vphantom{T}} = 0.629(8)$ and the values of the
second Gegenbauer moments $a_2^\parallel = 0.132(27)$ and $a_2^\perp =
0.101(22)$ at the scale $\mu = 2\,\text{GeV}$ for the longitudinally and
transversely polarized $\rho$ mesons, respectively. The errors include the
statistical uncertainty and estimates of the systematics arising from
renormalization. Discretization errors cannot be estimated reliably and are not
included. In this calculation the possibility of $\rho\to\pi\pi$ decay at the
smaller pion masses is not taken into account.


title:
Observation of Two-photon Photoemission from Cesium Telluride
  Photocathodes Excited by a Near-infrared Laser

abstract:
  We explore nonlinear photoemission in cesium telluride (Cs$_2$Te)
photocathodes where an ultrashort ($\sim 100$ fs full width at half max) 800-nm
infrared laser is used as the drive-laser in lieu of the typical $\sim 266$-nm
ultraviolet laser. An important figure of merit for photocathodes, the quantum
efficiency, we define here for nonlinear photoemission processes in order to
compare with linear photoemission. The charge against drive-laser (infrared)
energy is studied for different laser energy and intensity values and
cross-compared with previously performed similar studies on copper [P. Musumeci
et al., \emph{Phys. Rev. Lett.}, \textbf{104}, 084801 (2010)], a metallic
photocathode. We particularly observe two-photon photoemission in Cs$_2$Te
using the infrared laser in contrast to the anticipated three-photon process as
observed for metallic photocathodes.


title:
Hybrid Analog-Digital Transceiver Designs for Cognitive Large-Scale
  Antenna Array Systems

abstract:
  Milimeter wave (mmWave) band mobile communications can be a solution to the
continuously increasing traffic demand in modern wireless systems. Even though
mmWave bands are scarcely occupied, the design of a prospect transceiver should
guarantee the efficient coexistence with the incumbent services in these bands.
To that end, in this paper, two underlay cognitive transceiver designs are
proposed that enable the mmWave spectrum access while controlling the
interference to the incumbent users. MmWave systems usually require large
antenna arrays to achieve satisfactory performance and thus, they cannot
support fully digital transceiver designs due to high demands in hardware
complexity and power consumption. Thus, in order to develop efficient
solutions, the proposed approaches are based on a hybrid analog-digital
pre-coding architecture. In such hybrid designs, the overall beamformer can be
factorized in a low dimensional digital counterpart applied in the baseband and
in an analog one applied in the RF domain. The first cognitive solution
developed in this paper designs the cognitive hybrid pre-coder by maximizing
the mutual information between its two ends subject to interference, power and
hardware constraints related to the analog counterpart. The second solution
aims at reduced complexity requirements and thus derives the hybrid pre-coder
by minimizing the Frobenious norm of its difference to the optimal digital only
one. A novel solution for the post-coder at the cognitive receiver part is
further proposed here based on a hardware constrained Minimum Mean Square Error
criterion. Simulations show that the performance of both the proposed hybrid
approaches is very close to the one of the fully digital solution for typical
wireless environments.


title:
High-precision Astrometric Millimeter Very Long Baseline Interferometry
  Using a New Method for Multi-Frequency Calibration

abstract:
  In this paper we describe a new approach for mm-VLBI calibration that
provides bona-fide astrometric alignment of the mm-wavelength images from a
single source, for the measurement of frequency dependent effects, such as
`core-shifts' near the black hole of AGN jets. We achieve our astrometric
alignment by solving firstly for the ionospheric (dispersive) contributions
using wide-band cm-wavelength observations. Secondly we solve for the
tropospheric (non-dispersive) contributions by using fast frequency-switching
at the target mm-wavelengths. These solutions can be scaled and transferred
from the low frequency to the high frequency. To complete the calibration chain
one additional step was required to remove a residual constant phase offset on
each antenna. The result is an astrometric calibration and the measurement of
the core-shift between 22 and 43 GHz for the jet in BL Lacertae to be -8$\pm$5,
20$\pm$6 $\mu$as, in RA and Declination, respectively. By comparison to
conventional phase referencing at cm-wavelengths we are able to show that this
core shift at mm-wavelengths is significantly less than what would be predicted
by extrapolating the low frequency result, which closely followed the
predictions of the Blandford \& K\"onigl conical jet model. As such it would be
the first demonstration for the association of the VLBI core with a
recollimation shock, normally hidden at low frequencies due to the optical
depth, which could be responsible for the $\gamma$-ray production in blazar
jets.


title: Chasing Individuation: Mathematical Description of Physical Systems

abstract:
  This work is a conceptual analysis of certain recent developments in the
mathematical foundations of Classical and Quantum Mechanics which have allowed
to formulate both theories in a common language. From the algebraic point of
view, the set of observables of a physical system, be it classical or quantum,
is described by a \emph{Jordan-Lie algebra}. From the geometric point of view,
the space of states of any system is described by a \emph{uniform Poisson space
with transition probability}. Both these structures are here perceived as
formal translations of \emph{the fundamental twofold role of properties in
Mechanics}: they are at the same time quantities and transformations. The
question becomes then to understand the precise articulation between these two
roles. The analysis will show that Quantum Mechanics can be thought as
distinguishing itself from Classical Mechanics by a compatibility condition
between properties-as-quantities and properties-as-transformations.
  Moreover, this dissertation shows the existence of a tension between a
certain "abstract way" of conceiving mathematical structures, used in the
practice of mathematical physics, and the necessary capacity to specify
particular states or observables. It then becomes important to understand how,
within the formalism, one can construct a \emph{labelling scheme}. The "Chase
for Individuation" is the analysis of different mathematical techniques which
attempt to overcome this tension. In particular, we discuss how group theory
furnishes a partial solution.


title: Weighted projective lines and Riemann surfaces

abstract:
  For the base field of complex numbers we discuss the relationship between
categories of coherent sheaves on compact Riemann surfaces and categories of
coherent sheaves on weighted smooth projective curves. This is done by bringing
back to life an old theorem of Bundgaard-Nielsen-Fox proving Fenchel's
conjecture for fuchsian groups.


title: A Lipschitz metric for the Hunter-Saxton equation

abstract:
  We analyze stability of conservative solutions of the Cauchy problem on the
line for the (integrated) Hunter-Saxton (HS) equation. Generically, the
solutions of the HS equation develop singularities with steep gradients while
preserving continuity of the solution itself. In order to obtain uniqueness,
one is required to augment the equation itself by a measure that represents the
associated energy, and the breakdown of the solution is associated with a
complicated interplay where the measure becomes singular. The main result in
this paper is the construction of a Lipschitz metric that compares two
solutions of the HS equation with the respective initial data. The Lipschitz
metric is based on the use of the Wasserstein metric.


title: Randomized Admission Policy for Efficient Top-k and Frequency Estimation

abstract:
  Network management protocols often require timely and meaningful insight
about per flow network traffic. This paper introduces Randomized Admission
Policy (RAP) - a novel algorithm for the frequency and top-k estimation
problems, which are fundamental in network monitoring. We demonstrate space
reductions compared to the alternatives by a factor of up to 32 on real packet
traces and up to 128 on heavy-tailed workloads. For top-k identification, RAP
exhibits memory savings by a factor of between 4 and 64 depending on the skew
of the workload. These empirical results are backed by formal analysis,
indicating the asymptotic space improvement of our probabilistic admission
approach. Additionally, we present d-Way RAP, a hardware friendly variant of
RAP that empirically maintains its space and accuracy benefits.


title:
Determination of energy of nn-singlet virtual state in d+2H->p+p+n+n
  reaction

abstract:
  The nn final state interaction has been investigated in
d+2H->(pp)S+(nn)S->p+p+n+n reaction going through a formation and breakup of
singlet diproton and dineutron in the intermediate state. In the kinematically
complete experiment performed at Ed =15 MeV two proton and neutron were
detected at angles close to those of emission of (pp)S and (nn)S systems.
Simulation of the reaction showed that the shape of neutron energy (timing)
spectrum depends on epsnn - the energy of virtual 1S0 state of nn-system. The
most likely value epsnn = 0.076 +/- 0.006 MeV was obtained by fitting procedure
using the experimental data and simulations. This low value of epsnn evidently
indicates on effective enhancement of nn-interaction in the intermediate state
of studied reaction


title: A sextuple equidistribution arising in Pattern Avoidance

abstract:
  We construct an intriguing bijection between $021$-avoiding inversion
sequences and $(2413,4213)$-avoiding permutations, which proves a sextuple
equidistribution involving double Eulerian statistics. Two interesting
applications of this result are also presented. Moreover, this result inspires
us to characterize all permutation classes that avoid two patterns of length
$4$ whose descent polynomial equals that of separable permutations.


title: BaTFLED: Bayesian Tensor Factorization Linked to External Data

abstract:
  The vast majority of current machine learning algorithms are designed to
predict single responses or a vector of responses, yet many types of response
are more naturally organized as matrices or higher-order tensor objects where
characteristics are shared across modes. We present a new machine learning
algorithm BaTFLED (Bayesian Tensor Factorization Linked to External Data) that
predicts values in a three-dimensional response tensor using input features for
each of the dimensions. BaTFLED uses a probabilistic Bayesian framework to
learn projection matrices mapping input features for each mode into latent
representations that multiply to form the response tensor. By utilizing a
Tucker decomposition, the model can capture weights for interactions between
latent factors for each mode in a small core tensor. Priors that encourage
sparsity in the projection matrices and core tensor allow for feature selection
and model regularization. This method is shown to far outperform elastic net
and neural net models on 'cold start' tasks from data simulated in a three-mode
structure. Additionally, we apply the model to predict dose-response curves in
a panel of breast cancer cell lines treated with drug compounds that was used
as a Dialogue for Reverse Engineering Assessments and Methods (DREAM)
challenge.


title: Spectral properties of $\rho$ meson in a magnetic field

abstract:
  We calculate the rho meson mass in a weak magnetic field using effective
$\rho\pi\pi$ interaction. It is seen that both $\rho^0$ and $\rho^\pm$ masses
decrease with the magnetic field in vacuum. $\rho$ meson dispersion relation
has been calculated and shown to be different for $\rho^0$ and $\rho^\pm$. We
also calculate the $\rho\pi\pi$ decay width and spectral functions of $\rho^0$
and $\rho^\pm$. The width is seen to decrease with $eB$ and the spectral
functions become narrower.


title:
Dune-CurvilinearGrid: Parallel Dune Grid Manager for Unstructured
  Tetrahedral Curvilinear Meshes

abstract:
  We introduce the dune-curvilineargrid module. The module provides the
self-contained, parallel grid manager, as well as the underlying elementary
curvilinear geometry module dune-curvilineargeometry. This work is motivated by
the need for reliable and scalable electromagnetic design of nanooptical
devices. Curvilinear geometries improve both the accuracy of modeling smooth
material boundaries, and the h/p-convergence rate of PDE solutions, reducing
the necessary computational effort. dune-curvilineargrid provides a large
spectrum of features for scalable parallel implementations of Finite Element
and Boundary Integral methods over curvilinear tetrahedral geometries,
including symbolic polynomial mappings and operations, recursive integration,
sparse and dense grid communication, parallel timing and memory footprint
diagnostics utilities. It is written in templated C++ using MPI for
parallelization and ParMETIS for grid partitioning, and is provided as a module
for the DUNE interface. The dune-curvilineargrid grid manager is continuously
developed and improved, and so is this documentation. For the most recent
version of the documentation, as well as the source code, please refer to the
provided repositories and our website.


title: On derived functors of Graded local cohomology modules

abstract:
  Let $K$ be a field of characteristic zero and let $R=K[X_1, \ldots,X_n ]$,
with standard grading. Let $\mathfrak{m}= (X_1, \ldots, X_n)$ and let $E$ be
the $^*$injective hull of $R/\mathfrak{m}.$ Let $A_n(K)$ be the $n^{th}$ Weyl
algebra over $K$. Let $I, J$ be homogeneous ideals in $R$. Fix $i,j \geq 0$ and
set $M = H^i_I(R)$ and $N = H^j_J(R)$ considered as left $A_n(K)$-modules.
  We show the following two results for which no analogous result is known in
charactersitc $p > 0$. \begin{enumerate}
  $H^l_\mathfrak{m}(\Tor^R_\nu(M, N)) \cong E(n)^{a_{l,\nu}}$ for some
$a_{l,\nu} \geq 0$.
  For all $\nu \geq 0$; the finite dimensional vector space $\Tor^{A_n(K)}_\nu(
M^\sharp, N)$ is concentrated in degree $-n$ (here $M^\sharp$ is the standard
right $A_n(K)$-module associated to $M$). \end{enumerate} We also conjecture
that for all $i \geq 0$ the finite dimensional vector space $\Ext^i_{A_n(K)}(M,
N)$ is concentrated in degree zero. We give a few examples which support this
conjecture.


title: The Greenland Telescope: Antenna Retrofit Status and Future Plans

abstract:
  Since the ALMA North America Prototype Antenna was awarded to the Smithsonian
Astrophysical Observatory (SAO), SAO and the Academia Sinica Institute of
Astronomy & Astrophysics (ASIAA) are working jointly to relocate the antenna to
Greenland. This paper shows the status of the antenna retrofit and the work
carried out after the recommissioning and subsequent disassembly of the antenna
at the VLA has taken place. The next coming months will see the start of the
antenna reassembly at Thule Air Base. These activities are expected to last
until the fall of 2017 when commissioning should take place. In parallel,
design, fabrication and testing of the last components are taking place in
Taiwan.


abstract:
  We briefly summarize the BRITE observations of classical Cepheids. Possible
detection of modulation in a fundamental mode Cepheid, T Vul, and of additional
non-radial modes in first overtone Cepheids, DT Cyg and V1334 Cyg, are
reported.


title:
Dynamic RKKY interaction between magnetic moments in graphene
  nanoribbons

abstract:
  Graphene has been identified as a promising material with numerous
applications, particularly in spintronics. In this paper we investigate the
peculiar features of spin excitations of magnetic units deposited on graphene
nanoribbons and how they can couple through a dynamical interaction mediated by
spin currents. We examine in detail the spin lifetimes and identify a pattern
caused by vanishing density of states sites in pristine ribbons with armchair
borders. Impurities located on these sites become practically invisible to the
interaction, but can be made accessible by a gate voltage or doping. We also
demonstrate that the coupling between impurities can be turned on or off using
this characteristic, which may be used to control the transfer of information
in transistor-like devices.


title: The hypergroupoid of boundary conditions for local quantum observables

abstract:
  We review the definition of hypergroups by Sunder, and we associate a
hypergroup to a type III subfactor $N\subset M$ of finite index, whose
canonical endomorphism $\gamma\in\mathrm{End}(M)$ is multiplicity-free. It is
realized by positive maps of $M$ that have $N$ as fixed points. If the depth is
$>2$, this hypergroup is different from the hypergroup associated with the
fusion algebra of $M$-$M$ bimodules that was Sunder's original motivation to
introduce hypergroups.
  We explain how the present hypergroup, associated with a suitable subfactor,
controls the composition of transparent boundary conditions between two
isomorphic quantum field theories, and that this generalizes to a hypergroupoid
of boundary conditions between different quantum field theories sharing a
common subtheory.


title: Raman Active High Energy Excitations in URu$_2$Si$_2$

abstract:
  We have performed Raman scattering measurements on URu$_2$Si$_2$ single
crystals on a large energy range up to $\sim$ 1300 cm$^{-1}$ and in all the
Raman active symmetries as a function of temperature down to 15 K. A large
excitation, active only in the E$_{g}$ symmetry, is reported. It has been
assigned to a crystal electric field excitation on the Uranium site. We discuss
how this constrains the crystal electric field scheme of the Uranium ions.
Furthermore, three excitations in the A$_{1g}$ symmetry are observed. They have
been associated to double Raman phonon processes consistently with ab initio
calculations of the phonons dispersion.


title: On the entropy of Hilbert Geometries of Low Regularities

abstract:
  We compare the regularity of the boundary of a convex set with the value of
its Finslerian volume entropy. The main result states that the volume entropy
of a two-dimensional domain whose associated curvature measure is Ahlfors
$\alpha$-regular is $\frac{2\alpha}{\alpha +1}$.


title: On Fault-Tolerant Design of Exclusive-OR Gates in QCA

abstract:
  Design paradigms of logic circuits with Quantum-dot Cellular Automata (QCA)
have been extensively studied in the recent past. Unfortunately, due to the
lack of mature fabrication support, QCA-based circuits often suffer from
various types of manufacturing defects and variations, and therefore, are
unreliable and error-prone. QCA-based Exclusive-OR (XOR) gates are frequently
used in the construction of several computing subsystems such as adders, linear
feedback shift registers, parity generators and checkers. However, none of the
existing designs for QCA XOR gates have considered the issue of ensuring
fault-tolerance. Simulation results also show that these designs can hardly
tolerate any fault. We investigate the applicability of various existing
fault-tolerant schemes such as triple modular redundancy (TMR), NAND
multiplexing, and majority multiplexing in the context of practical realization
of QCA XOR gate. Our investigations reveal that these techniques incur
prohibitively large area and delay and hence, they are unsuitable for practical
scenarios. We propose here realistic designs of QCA XOR gates (in terms of area
and delay) with significantly high fault-tolerance against all types of cell
misplacement defects such as cell omission, cell displacement, cell
misalignment and extra/additional cell deposition. Furthermore, the absence of
any crossing in the proposed designs facilitates low-cost fabrication of such
systems.


title:
Mesoscopic Quantum Emitters from Deterministic Aggregates of Conjugated
  Polymers

abstract:
  An appealing definition of the term "molecule" arises from consideration of
the nature of fluorescence, with discrete molecular entities emitting a stream
of single photons. We address the question of how large a molecular object may
become by growing deterministic aggregates from single conjugated polymer
chains. Even particles containing dozens of individual chains still behave as
single quantum emitters due to efficient excitation energy transfer, while the
brightness is raised due to the increased absorption cross-section of the
suprastructure. Excitation energy can delocalize between individual polymer
chromophores in these aggregates by both coherent and incoherent coupling,
which are differentiated by their distinct spectroscopic fingerprints. Coherent
coupling is identified by a ten-fold increase in excited-state lifetime and a
corresponding spectral red shift. Exciton quenching due to incoherent FRET
becomes more significant as aggregate size increases, resulting in
single-aggregate emission characterized by strong blinking. This mesoscale
approach allows us to identify intermolecular interactions which do not exist
in isolated chains and are inaccessible in bulk films where they are present
but masked by disorder.


title: Bulk Saturable absorption in Topological Insulator thin Films

abstract:
  We present nonlinear optical absorption properties of pulsed laser deposited
thin films of topological insulator (TI), Bi2Se3 on quartz substrate, using
open aperture Z - scan technique. The saturable intensity of as-deposited thin
films has been found remarkably improved by an order of magnitude compared to
the values reported earlier in the literature. Past results from the literature
are inconclusive in establishing whether the saturable absorption is coming
from surface states or the bulk. Specifically designed experiments with
magnetically doped TI samples allow us to attribute the saturable absorption
characteristic of TI to the bulk states. Detailed experimental procedures and
possible explanation of observed results have been discussed.


title: Multivariate compounds with equal number of summands

abstract:
  The paper considers multivariate discrete random sums with equal number of
summands. Such distributions describe the total claim amount received by a
company in a fixed time point. In Queuing theory they characterize cumulative
waiting times of customers up to time t. In Theory of branching processes they
model the number of heirs at a fixed point in time.
  Here some general properties and formulae for numerical characteristics of
these distributions are derived and some particular cases are considered.


title: Tuple spaces implementations and their efficiency

abstract:
  Among the paradigms for parallel and distributed computing, the one
popularized with Linda, and based on tuple spaces, is one of the least used,
despite the fact of being intuitive, easy to understand and to use. A tuple
space is a repository, where processes can add, withdraw or read tuples by
means of atomic operations. Tuples may contain different values, and processes
can inspect their content via pattern matching. The lack of a reference
implementation for this paradigm has prevented its widespread. In this paper,
first we perform an extensive analysis of a number of actual implementations of
the tuple space paradigm and summarise their main features. Then, we select
four such implementations and compare their performances on four different case
studies that aim at stressing different aspects of computing such as
communication, data manipulation, and cpu usage. After reasoning on strengths
and weaknesses of the four implementations, we conclude with some
recommendations for future work towards building an effective implementation of
the tuple space paradigm.


title:
Differentiation between shallow and deep charge trap states on single
  poly(3-hexylthiophene) chains through fluorescence photon statistics

abstract:
  Blinking of the photoluminescence (PL) emitted from individual conjugated
polymer chains is one of the central observations made by single-molecule
spectroscopy (SMS). Important information, e.g., regarding excitation energy
transfer, can be extracted by evaluating dynamic quenching. However, the nature
of trap states, which are responsible for PL quenching, often remains obscured.
We present a detailed investigation of the photon statistics of single
poly(3-hexylthiophene) (P3HT) chains obtained by SMS. The photon statistics
provide a measure of the number and brightness of independently emitting areas
on a single chain. These observables can be followed during blinking. A
decrease in PL intensity is shown to be correlated with either (i) a decrease
in the average brightness of the emitting sites; or (ii) a decrease in the
number of emitting regions. We attribute these phenomena to the formation of
(i) shallow charge traps, which can weakly affect all emitting areas of a
single chain at once; and (ii) deep traps, which have a strong effect on small
regions within the single chains.


title:
Elliptic Operators Associated with Groups of Quantized Canonical
  Transformations

abstract:
  Given a Lie group $G$ of quantized canonical transformations acting on the
space $L^2(M)$ over a closed manifold $M$, we define an algebra of so-called
$G$-operators on $L^2(M)$. We show that to $G$-operators we can associate
symbols in appropriate crossed products with $G$, introduce a notion of
ellipticity and prove the Fredholm property for elliptic elements. This
framework encompasses many known elliptic theories, for instance, shift
operators associated with group actions on $M$, transversal elliptic theory,
transversally elliptic pseudodifferential operators on foliations, and Fourier
integral operators associated with coisotropic submanifolds.


title: Randomness via infinite computation and effective descriptive set theory

abstract:
  We study randomness beyond $\Pi^1_1$-randomness and its Martin-L\"of type
variant, introduced in \cite{MR2340241} and further studied in
\cite{Continuous-higher-randomness}. The class given by the infinite time
Turing machines (\ITTM s), introduced by Hamkins and Kidder, is strictly
between $\Pi^1_1$ and $\Sigma^1_2$. We prove that the natural randomness
notions associated to this class have several desirable properties resembling
those of the classical random notions such as Martin-L\"of randomness, and
randomness notions defined via effective descriptive set theory such as
$\Pi^1_1$-randomness. For instance, mutual randoms do not share information and
can be characterized as in van Lambalgen's theorem. We also obtain some
differences to the hyperarithmetic setting. Already at the level of
$\Sigma^1_2$, some properties of randomness notions are independent
\cite{Infinite-computations}. Towards the results about randomness, we prove
the following analogue to a theorem of Sacks. If a real is infinite time Turing
computable relative to all reals in some given set of reals with positive
Lebesgue measure, then it is already infinite time Turing computable. As a
technical tool, we prove facts of independent interest about random forcing
over admissible sets and increasing unions of admissible sets. These results
are also useful for more efficient proofs of some classical results about
hyperarithmetic sets.


title:
General Green's function formalism for layered systems: Wave function
  approach

abstract:
  The single-particle Green's function (GF) of mesoscopic structures plays a
central role in mesoscopic quantum transport. The recursive GF technique is a
standard tool to compute this quantity numerically, but it lacks physical
transparency and is limited to relatively small systems. Here we present a
numerically efficient and physically transparent GF formalism for a general
layered structure. In contrast to the recursive GF that directly calculates the
GF through the Dyson equations, our approach converts the calculation of the GF
to the generation and subsequent propagation of a scattering wave function
emanating from a local excitation. This viewpoint not only allows us to
reproduce existing results in a concise and physically intuitive manner, but
also provides analytical expressions of the GF in terms of a generalized
scattering matrix. This identifies the contributions from each individual
scattering channel to the GF and hence allows this information to be extracted
quantitatively from dual-probe STM experiments. The simplicity and physical
transparency of the formalism further allows us to treat the multiple
reflection analytically and derive an analytical rule to construct the GF of a
general layered system. This could significantly reduce the computational time
and enable quantum transport calculations for large samples. We apply this
formalism to perform both analytical analysis and numerical simulation for the
two-dimensional conductance map of a realistic graphene p-n junction. The
results demonstrate the possibility of observing the spatially-resolved
interference pattern caused by negative refraction and further reveal a few
interesting features, such as the distance-independent conductance and its
quadratic dependence on the carrier concentration, as opposed to the linear
dependence in uniform graphene.


title: Nontrivial solutions of superlinear nonlocal problems

abstract:
  We study the question of the existence of infinitely many weak solutions for
nonlocal equations of fractional Laplacian type with homogeneous Dirichlet
boundary data, in presence of a superlinear term. Starting from the well-known
Ambrosetti-Rabinowitz condition, we consider different growth assumptions on
the nonlinearity, all of superlinear type. We obtain three different existence
results in this setting by using the Fountain Theorem, which extend some
classical results for semilinear Laplacian equations to the nonlocal fractional
setting.


title: Risk averse fractional trading using the current drawdown

abstract:
  In this paper the fractional trading ansatz of money management is
reconsidered with special attention to chance and risk parts in the goal
function of the related optimization problem. By changing the goal function
with due regards to other risk measures like current drawdowns, the optimal
fraction solutions reflect the needs of risk averse investors better than the
original optimal f solution of Ralph Vince.
  Keywords: fractional trading, optimal f, current drawdown, terminal wealth
relative, risk aversion


title:
Equivalence of the Generalized Zhang-Zhang Polynomial and the
  Generalized Cube Polynomial

abstract:
  In this paper we study the resonance graphs of benzenoid systems, tubulenes,
and fullerenes. The resonance graph reflects the interactions between the Kekul
e structures of a molecule. The equivalence of the Zhang-Zhang polynomial
(which counts Clar covers) of the molecular graph and the cube polynomial
(which counts hypercubes) of its resonance graph is known for all three
families of molecular graphs.
  Instead of considering only interactions between 6-cycles (Clar covers), we
also consider 10-cycles, which contribute to the resonance energy of a molecule
as well. Therefore, we generalize the concepts of the Zhang-Zhang polynomial
and the cube polynomial and prove the equality of these two polynomials.


title: Geometric quantization of finite Toda systems and coherent States

abstract:
  Adler had shown in 1979 that the Toda system can be given a coad- joint orbit
description. We quantize the Toda system by viewing it as a single orbit of a
multiplicative group of lower triangular matrices of determinant one with pos-
itive diagonal entries. We get a unitary representation of the group with
square integrable polarized sections of the quantization as the module . We
find the Rawnsley coherent states after a completion of the above space of
sections. We also find non-unitary finite dimensional quantum Hilbert spaces
for the system.


title:
Classification of 2-extendable bipartite and cubic non-bipartite
  vertex-transitive graphs

abstract:
  In \cite{Chan95}, the authors classified the 2-extendable abelian Cayley
graphs and posed the problem of characterizing all 2-extendable Cayley graphs.
We first show that a connected bipartite Cayley (vertex-transitive) graph is
2-extendable if and only if it is not a cycle. It is known that a non-bipartite
Cayley (vertex-transitive) graph is 2-extendable when it is of minimum degree
at least five \cite{sun}. We next classify all 2-extendable cubic non-bipartite
Cayley graphs and obtain that: a cubic non-bipartite Cayley graph with girth
$g$ is 2-extendable if and only if $g\geq 4$ and it doesn't isomorphic to
$Z_{4n}(1,4n-1,2n)$ or $Z_{4n+2}(2,4n,2n+1)$ with $n\geq 2$. Indeed, we prove a
more stronger result that a cubic non-bipartite vertex-transitive graph with
girth $g$ is 2-extendable if and only if $g\geq 4$ and it doesn't isomorphic to
$Z_{4n}(1,4n-1,2n)$ or $Z_{4n+2}(2,4n,2n+1)$ with $n\geq 2$ or the Petersen
graph.


title: Hyperpriors for Mat\'ern fields with applications in Bayesian inversion

abstract:
  We introduce non-stationary Mat\'ern field priors with stochastic partial
differential equations, and construct correlation length-scaling with
hyperpriors. We model both the hyperprior and the Mat\'ern prior as
continuous-parameter random fields. As hypermodels, we use Cauchy and Gaussian
random fields, which we map suitably to a desired correlation length-scaling
range. For computations, we discretise the models with finite difference
methods. We consider the convergence of the discretised prior and posterior to
the discretisation limit. We apply the developed methodology to certain
interpolation and numerical differentiation problems, and show numerically that
we can make Bayesian inversion which promotes competing constraints of
smoothness and edge-preservation. For computing the conditional mean estimator
of the posterior distribution, we use a combination of Gibbs and
Metropolis-within-Gibbs sampling algorithms.


title:
Approximation Algorithm for Cycle-Star Hub Network Design Problems and
  Cycle-Metric Labeling Problems

abstract:
  We consider a single allocation hub-and-spoke network design problem which
allocates each non-hub node to exactly one of given hub nodes so as to minimize
the total transportation cost. This paper deals with a case in which the hubs
are located in a cycle, which is called a cycle-star hub network design
problem. The problem is essentially equivalent to a cycle-metric labeling
problem. The problem is useful in the design of networks in telecommunications
and airline transportation systems.We propose a $2(1-1/h)$-approximation
algorithm where $h$ denotes the number of hub nodes. Our algorithm solves a
linear relaxation problem and employs a dependent rounding procedure. We
analyze our algorithm by approximating a given cycle-metric matrix by a convex
combination of Monge matrices.


title: Weak Galactic Halo--Fornax dSph Connection from RR Lyrae Stars

abstract:
  For the first time accurate pulsation properties of the ancient variable
stars of the Fornax dwarf spheroidal galaxy (dSph) are discussed in the broad
context of galaxy formation and evolution. Homogeneous multi-band $BVI$ optical
photometry of spanning {\it twenty} years has allowed us to identify and
characterize more than 1400 RR Lyrae stars (RRLs) in this galaxy. Roughly 70\%
are new discoveries. We investigate the period-amplitude distribution and find
that Fornax shows a lack of High Amplitude (A$_V\gsim$0.75 mag) Short Period
fundamental-mode RRLs (P$\lsim$0.48 d, HASPs). These objects occur in stellar
populations more metal-rich than [Fe/H]$\sim$-1.5 and they are common in the
Galactic halo (Halo) and in globulars. This evidence suggests that old (age
older than 10 Gyr) Fornax stars are relatively metal-poor.
  A detailed statistical analysis of the role of the present-day Fornax dSph in
reproducing the Halo period distribution shows that it can account for only a
few to 20\% of the Halo when combined with RRLs in massive dwarf galaxies
(Sagittarius dSph, Large Magellanic Cloud). This finding indicates that
Fornax-like systems played a minor role in building up the Halo when compared
with massive dwarfs. We also discuss the occurrence of HASPs in connection with
the luminosity and the early chemical composition of nearby dwarf galaxies. We
find that, independently of their individual star formation histories, bright
(M$_V\lsim$-13.5 mag) galaxies have HASPs, whereas faint ones (M$_V\gsim$-11
mag) do not. Interestingly enough, Fornax belongs to a luminosity range
(--11$<$M$_V<$--13.5 mag) in which the occurrence of HASPs appears to be
correlated with the early star formation and chemical enrichment of the host
galaxy.