title:
A Low Complexity Algorithm with $O(\sqrt{T})$ Regret and $O(1)$
  Constraint Violations for Online Convex Optimization with Long Term
  Constraints

abstract:
  This paper considers online convex optimization over a complicated constraint
set, which typically consists of multiple functional constraints and a set
constraint. The conventional online projection algorithm (Zinkevich, 2003) can
be difficult to implement due to the potentially high computation complexity of
the projection operation. In this paper, we relax the functional constraints by
allowing them to be violated at each round but still requiring them to be
satisfied in the long term. This type of relaxed online convex optimization
(with long term constraints) was first considered in Mahdavi et al. (2012).
That prior work proposes an algorithm to achieve $O(\sqrt{T})$ regret and
$O(T^{3/4})$ constraint violations for general problems and another algorithm
to achieve an $O(T^{2/3})$ bound for both regret and constraint violations when
the constraint set can be described by a finite number of linear constraints. A
recent extension in \citet{Jenatton16ICML} can achieve
$O(T^{\max\{\theta,1-\theta\}})$ regret and $O(T^{1-\theta/2})$ constraint
violations where $\theta\in (0,1)$. The current paper proposes a new simple
algorithm that yields improved performance in comparison to prior works. The
new algorithm achieves an $O(\sqrt{T})$ regret bound with $O(1)$ constraint
violations.


title: Practical Quantum Retrieval Games

abstract:
  Complex cryptographic protocols are often constructed from simpler
building-blocks. In order to advance quantum cryptography, it is important to
study practical building-blocks that can be used to develop new protocols. An
example is quantum retrieval games (QRGs), which have broad applicability and
have already been used to construct quantum money schemes. In this work, we
introduce a general construction of quantum retrieval games based on the hidden
matching problem and show how they can be implemented in practice using
available technology. More precisely, we provide a general method to construct
(1-out-of-k) QRGs, proving that their cheating probabilities decrease
exponentially in $k$. In particular, we define new QRGs based on coherent
states of light, which can be implemented even in the presence of experimental
imperfections. Our results constitute a new tool in the arsenal of the
practical quantum cryptographer.


title:
Search for a narrow baryonic state decaying to ${pK^0_S}$ and
  ${\bar{p}K^0_S}$ in deep inelastic scattering at HERA

abstract:
  A search for a narrow baryonic state in the $pK^0_S$ and $\bar{p}K^0_S$
system has been performed in $ep$ collisions at HERA with the ZEUS detector
using an integrated luminosity of 358 pb$^{-1}$ taken in 2003-2007. The search
was performed with deep inelastic scattering events at an $ep$ centre-of-mass
energy of 318 GeV for exchanged photon virtuality, $Q^2$, between 20 and 100
$\rm{} GeV^{2}$. Contrary to evidence presented for such a state around 1.52
GeV in a previous ZEUS analysis using a sample of 121 pb$^{-1}$ taken in
1996-2000, no resonance peak was found in the $p(\bar{p})K^0_S$ invariant-mass
distribution in the range 1.45-1.7 GeV. Upper limits on the production cross
section are set.


title: Box-Cox symmetric distributions and applications to nutritional data

abstract:
  We introduce the Box-Cox symmetric class of distributions, which is useful
for modeling positively skewed, possibly heavy-tailed, data. The new class of
distributions includes the Box-Cox t, Box-Cox Cole-Gree, Box-Cox power
exponential distributions, and the class of the log-symmetric distributions as
special cases. It provides easy parameter interpretation, which makes it
convenient for regression modeling purposes. Additionally, it provides enough
flexibility to handle outliers. The usefulness of the Box-Cox symmetric models
is illustrated in applications to nutritional data.


title:
Gate-tunable spin-charge conversion and a role of spin-orbit interaction
  in graphene

abstract:
  The small spin-orbit interaction of carbon atoms in graphene promises a long
spin diffusion length and potential to create a spin field-effect transistor.
However, for this reason, graphene was largely overlooked as a possible
spin-charge conversion material. We report electric gate tuning of the
spin-charge conversion voltage signal in a single-layer graphene. Using spin
pumping from yttrium iron garnet ferrimagnetic insulator and ionic liquid top
gate we determined that the inverse spin Hall effect is the dominant
spin-charge conversion mechanism in a single-layer graphene. From the gate
dependence of the electromotive force we showed dominance of the intrinsic over
Rashba spin-orbit interaction: a long-standing question in graphene research.


title:
On Capacity and Delay of Multi-channel Wireless Networks with
  Infrastructure Support

abstract:
  In this paper, we propose a novel multi-channel network with infrastructure
support, called an MC-IS network, which has not been studied in the literature.
To the best of our knowledge, we are the first to study such an MC-IS network.
Our proposed MC-IS network has a number of advantages over three existing
conventional networks, namely a single-channel wireless ad hoc network (called
an SC-AH network), a multi-channel wireless ad hoc network (called an MC-AH
network) and a single-channel network with infrastructure support (called an
SC-IS network). In particular, the network capacity of our proposed MC-IS
network is $\sqrt{n \log n}$ times higher than that of an SC-AH network and an
MC-AH network and the same as that of an SC-IS network, where $n$ is the number
of nodes in the network. The average delay of our MC-IS network is $\sqrt{\log
n/n}$ times lower than that of an SC-AH network and an MC-AH network, and
$\min\{C_I,m\}$ times lower than the average delay of an SC-IS network, where
$C_I$ and $m$ denote the number of channels dedicated for infrastructure
communications and the number of interfaces mounted at each infrastructure
node, respectively. Our analysis on an MC-IS network equipped with
omni-directional antennas only has been extended to an MC-IS network equipped
with directional antennas only, which are named as an MC-IS-DA network. We show
that an MC-IS-DA network has an even lower delay of $\frac{c}{\lfloor
\frac{2\pi}{\theta}\rfloor \cdot C_I}$ compared with an SC-IS network and our
MC-IS network. For example, when $C_I=12$ and $\theta=\frac{\pi}{12}$, an
MC-IS-DA network can further reduce the delay by 24 times lower that of an
MC-IS network and reduce the delay by 288 times lower than that of an SC-IS
network.


title: Reconstructing Links in Directed Networks from Noisy Dynamics

abstract:
  In this Letter, we address the longstanding challenge of how to reconstruct
links in directed networks from measurements, and present a general method that
makes use of a noise-induced relation between network structure and both the
time-lagged covariance of measurements taken at two different times and the
covariance of measurements taken at the same time. For coupling functions that
have additional properties, we can further reconstruct the weights of the
links.


title:
Contragredient Lie algebras and Lie algebras associated with a standard
  pentad

abstract:
  We will construct standard pentads which are analogues of Cartan subalgebras,
and moreover, we will study graded Lie algebras corresponding to these standard
pentads. We call such pentads pentads of Cartan type and describe them by two
positive integers and three matrices. The structures of their corresponding Lie
algebras are related with contragredient Lie algebras.


title:
Chiral Magnetism in an Itinerant Helical Magnet, MnSi - An Extended 29Si
  NMR Study -

abstract:
  The microscopic magnetism in the helical, the conical and the
ferro-magnetically polarized phases in an itinerant helical magnet, MnSi, has
been studied by an extended 29Si NMR at zero field and under external magnetic
fields. The temperature dependence of staggered moment, M_Q(T), determined by
the 29Si NMR frequency, nu(T), and nuclear relaxation rate, 1/T_1(T) is in
general accord with the SCR theory for weak itinerant ferromagnetic metals and
its extension. The external field dependence of resonance frequency, nu(H),
follows a vector sum of the contributions from atomic hyperfine and macroscopic
fields with a field induced moment characteristic to the itinerant magnets. A
discontinuous jump of the resonance frequency at the critical field, H_c,
between the conical and the polarized phases has also been found that suggests
a first order like change of the electronic states at H_c.


title: A quantum walk on the half line with a particular initial state

abstract:
  Quantum walks are considered to be quantum counterparts of random walks.They
show us impressive probability distributions which are different from those of
random walks.That fact has been precisely proved in terms of mathematics and
some of the results were reported as limit theorems.When we analyze quantum
walks, some conventional methods are used for the computations.Especially, the
Fourier analysis has played a role to do that.It is, however, compatible with
some types of quantum walks (e.g. quantum walks on the line with a spatially
homogeneous dynamics) and can not well work on the derivation of limit theorems
for all the quantum walks.In this paper we try to obtain a limit theorem for a
quantum walk on the half line by the usage of the Fourier analysis.Substituting
a quantum walk on the line for it, we will lead to a possibility that the
Fourier analysis is useful to compute a limit distribution of the quantum walk
on the half line.


title: Jump operations for Borel graphs

abstract:
  We investigate the class of bipartite Borel graphs organized by the order of
Borel homomorphism. We show that this class is unbounded by finding a jump
operator for Borel graphs analogous to a jump operator of Louveau for Borel
equivalence relations. The proof relies on a non-separation result for iterated
Frechet ideals and filters due to Debs and Saint Raymond. We give a new proof
of this fact using effective descriptive set theory. We also investigate an
analogue of the Friedman-Stanley jump for Borel graphs. This analogue does not
yield a jump operator for bipartite Borel graphs. However, we use it to answer
a question of Kechris and Marks by showing that there is a Borel graph with no
Borel homomorphism to a locally countable Borel graph, but each of whose
connected components has a countable Borel coloring.


title:
Cavity Optomechanics with Ultra Cold Atoms in Synthetic Abelian and
  Non-Abelian Gauge Field

abstract:
  In this article we present a pedagogical discussion of some of the
optomechanical properties of a high finesse cavity loaded with ultracold atoms
in laser induced synthetic gauge fields of different types. Essentially, the
subject matter of this article is an amalgam of two sub-fields of atomic
molecular and optical (AMO) physics namely, the cavity optomechanics with
ultracold atoms and ultracold atoms in synthetic gauge field. After providing a
brief introduction to either of these fields we shall show how and what
properties of these trapped ultracold atoms can be studied by looking at the
cavity (optomechanical or transmission) spectrum. In presence of abelian
synthetic gauge field we discuss the cold-atom analogue of Shubnikov de Haas
oscillation and its detection through cavity spectrum. Then, in the presence of
a non-abelian synthetic gauge field (spin-orbit coupling), we see when the
electromagnetic field inside the cavity is quantized, it provides a quantum
optical lattice for the atoms, leading to the formation of different quantum
magnetic phases. We also discuss how these phases can be explored by studying
the cavity transmission spectrum.


title:
Effective Theory of WIMP Dark Matter supplemented by Simplified Models:
  Singlet-like Majorana fermion case

abstract:
  We enumerate the set of simplified models which match onto the complete set
of gauge invariant effective operators up to dimension six describing
interactions of a singlet-like Majorana fermion dark matter with the standard
model. Tree level matching conditions for each case are worked out in the large
mediator mass limit, defining a one to one correspondence between the effective
operator coefficients and the simplified model parameters for weakly
interacting models. Utilizing such a mapping, we compute the dark matter
annihilation rate in the early universe, as well as other low-energy
observables like nuclear recoil rates using the effective operators, while the
simplified models are used to compute the dark matter production rates at high
energy colliders like LEP, LHC and future lepton colliders. Combining all
relevant constraints with a profile likelihood analysis, we then discuss the
currently allowed parameter regions and prospects for future searches in terms
of the effective operator parameters, reducing the model dependence to a
minimal level. In the parameter region where such a model-independent analysis
is applicable, and leaving aside the special dark matter mass regions where the
annihilation proceeds through an s-channel Z or Higgs boson pole, the current
constraints allow effective operator suppression scales ($\Lambda$) of the
order of a few hundred GeV for dark matter masses $m_\chi >$ 20 GeV at $95\%$
C.L., while the maximum allowed scale is around $3$ TeV for $m_\chi \sim
\mathcal{O}(1\,{\rm TeV})$. An estimate of the future reach of ton-scale direct
detection experiments and planned electron-positron colliders show that most of
the remaining regions can be probed, apart from dark matter masses near half of
the Z-boson mass (with $500\,{\rm GeV} < \Lambda < 2\,{\rm TeV} $) and those
beyond the kinematic reach of the future lepton colliders.


title:
On Helmholtz equation and Dancer's type entire solutions for nonlinear
  elliptic equations

abstract:
  Starting from a bound state (positive or sign-changing) solution to $$
-\Delta \omega_m =|\omega_m|^{p-1} \omega_m -\omega_m \ \ \mbox{in}\ \R^n, \
\omega_m \in H^2 (\R^n)$$ and solutions to the Helmholtz equation $$ \Delta u_0
+ \lambda u_0=0 \ \ \mbox{in} \ \R^n, \ \lambda>0, $$ we build new Dancer's
type entire solutions to the nonlinear scalar equation $$ -\Delta u =|u|^{p-1}
u-u \ \ \mbox{in} \ \R^{m+n}. $$


title:
Coherent transfer of electron spin correlations assisted by dephasing
  noise

abstract:
  Quantum coherence of superposed states, especially of entangled states, is
indispensable for many quantum technologies. However, it is vulnerable to
environmental noises, posing a fundamental challenge in solid-state systems
including spin qubits. Here we show a scheme of entanglement engineering where
pure dephasing assists the generation of quantum entanglement at distant sites
in a chain of electron spins confined in semiconductor quantum dots. One party
of an entangled spin pair, prepared at a single site, is transferred to the
next site and then adiabatically swapped with a third spin using a transition
across a multi-level avoided crossing. This process is accelerated by the
noise-induced dephasing through a variant of the quantum Zeno effect, without
sacrificing the coherence of the entangled state. Our finding brings insight
into the spin dynamics in open quantum systems coupled to noisy environments,
opening an avenue to quantum state manipulation utilizing decoherence effects.


title: Accurate selfcorrection of errors in long reads using de Bruijn graphs

abstract:
  New long read sequencing technologies, like PacBio SMRT and Oxford NanoPore,
can produce sequencing reads up to 50,000 bp long but with an error rate of at
least 15%. Reducing the error rate is necessary for subsequent utilisation of
the reads in, e.g., de novo genome assembly. The error correction problem has
been tackled either by aligning the long reads against each other or by a
hybrid approach that uses the more accurate short reads produced by second
generation sequencing technologies to correct the long reads. We present an
error correction method that uses long reads only. The method consists of two
phases: first we use an iterative alignment-free correction method based on de
Bruijn graphs with increasing length of k-mers, and second, the corrected reads
are further polished using long-distance dependencies that are found using
multiple alignments. According to our experiments the proposed method is the
most accurate one relying on long reads only for read sets with high coverage.
Furthermore, when the coverage of the read set is at least 75x, the throughput
of the new method is at least 20% higher. LoRMA is freely available at
http://www.cs.helsinki.fi/u/lmsalmel/LoRMA/.


title:
A Unified Theory of Multiple-Access and Interference Channels via
  Approximate Capacity Regions for the MAC-IC-MAC

abstract:
  Approximate capacity regions are established for a class of interfering
multiple access channels consisting of two multiple-access channels (MACs),
each with an arbitrary number of transmitters, with one transmitter in each MAC
causing interference to the receiver of the other MAC, a channel we refer to
henceforth as the MAC-IC-MAC. For the discrete memoryless (DM) MAC-IC-MAC, two
inner bounds are obtained that are generalizations of prior inner bounds for
the two-user DM interference channel (IC) due to Chong {\em et al}. For the
semi-deterministic MAC-IC-MAC, it is shown that single-user coding at the
non-interfering transmitters and superposition coding at the interfering
transmitter of each MAC achieves a rate region that is within a quantifiable
gap of the capacity region, thereby extending such a result for the two-user
semi-deterministic IC by Telatar and Tse. For the Gaussian MAC-IC-MAC, an
approximate capacity region that is within a constant gap of the capacity
region is obtained, generalizing such a result for the two-user Gaussian IC by
Etkin {\em et al}. Contrary to the aforementioned approximate capacity results
for the two-user IC whose achievability requires the union of all admissible
input distributions, our gap results on the semi-deterministic and the Gaussian
MAC-IC-MAC are achievable by only a subset and one of all admissible coding
distributions, respectively. The symmetric generalized degrees of freedom
(GDoF) of the symmetric Gaussian MAC-IC-MAC with more than one user per cell,
which is a function of the interference strength (the ratio of INR to SNR at
high SNR, both expressed in dB) and the numbers of users in each cell, is
V-shaped with flat shoulders. ...


title:
Image Encryption Based On Gradient Haar Wavelet and Rational Order
  Chaotic Maps

abstract:
  Haar wavelet is one of the best mathematical tools in image cryptography and
analysis. Because of the specific structure, this wavelet has the ability which
is combined with other mathematical tools such as chaotic maps. The rational
order chaotic maps are one of clusters of chaotic maps which their
deterministic behaviors have high sensitivity. In this paper, we propose a
novel method of gradient Haar wavelet transform for image encryption. This
method use linearity properties of the scaling function of the gradient Haar
wavelet and deterministic behaviors of rational order chaotic maps in order to
generate encrypted images with high security factor. The security of the
encrypted images is evaluated by the key space analysis, the correlation
coefficient analysis, and differential attack. The method could be used in
other fields such as image and signal processing.


title:
Resonance Raman scattering and ab initio calculation of electron energy
  loss spectra of MoS2 nanosheets

abstract:
  The presence of electron energy loss (EELS) peak is proposed theoretically in
molybdenum disulfide (MoS2) nanosheets. Using density functional theory
simulations and calculations, one EELS peak is identified in the visible energy
range, for MoS2 nanosheets with molybdenum vacancy. Experimentally, four
different laser sources are used for the Raman scattering study of MoS2
nanosheets, which show two distinct Raman peaks, one at 385 cm-1 (E12g) and the
other at 408 cm-1 (A1g). In the cases of three laser sources with wavelengths
405 nm (3.06 eV), 632 nm (1.96 eV) and 785 nm (1.58 eV), respectively, the
intensity of E12g Raman peak is more than the A1g Raman peak, while in the case
of excitation source of 532 nm (2.33 eV), the intensity profile is reversed and
A1g peak is the most intense. Thus a resonance Raman scattering phenomenon is
observed for 532 nm laser source.


title: Kriging of financial term-structures

abstract:
  Due to the lack of reliable market information, building financial
term-structures may be associated with a significant degree of uncertainty. In
this paper, we propose a new term-structure interpolation method that extends
classical spline techniques by additionally allowing for quantification of
uncertainty. The proposed method is based on a generalization of kriging models
with linear equality constraints (market-fit conditions) and shape-preserving
conditions such as monotonicity or positivity (no-arbitrage conditions). We
define the most likely curve and show how to build confidence bands. The
Gaussian process covariance hyper-parameters under the construction constraints
are estimated using cross-validation techniques. Based on observed market
quotes at different dates, we demonstrate the efficiency of the method by
building curves together with confidence intervals for term-structures of OIS
discount rates, of zero-coupon swaps rates and of CDS implied default
probabilities. We also show how to construct interest-rate surfaces or default
probability surfaces by considering time (quotation dates) as an additional
dimension.


title:
Maximum Number of Distinct and Nonequivalent Nonstandard Squares in a
  Word

abstract:
  The combinatorics of squares in a word depends on how the equivalence of
halves of the square is defined. We consider Abelian squares, parameterized
squares, and order-preserving squares. The word $uv$ is an Abelian
(parameterized, order-preserving) square if $u$ and $v$ are equivalent in the
Abelian (parameterized, order-preserving) sense. The maximum number of ordinary
squares in a word is known to be asymptotically linear, but the exact bound is
still investigated. We present several results on the maximum number of
distinct squares for nonstandard subword equivalence relations. Let
$\mathit{SQ}_{\mathrm{Abel}}(n,\sigma)$ and
$\mathit{SQ}'_{\mathrm{Abel}}(n,\sigma)$ denote the maximum number of Abelian
squares in a word of length $n$ over an alphabet of size $\sigma$, which are
distinct as words and which are nonequivalent in the Abelian sense,
respectively. For $\sigma\ge 2$ we prove that
$\mathit{SQ}_{\mathrm{Abel}}(n,\sigma)=\Theta(n^2)$,
$\mathit{SQ}'_{\mathrm{Abel}}(n,\sigma)=\Omega(n^{3/2})$ and
$\mathit{SQ}'_{\mathrm{Abel}}(n,\sigma) = O(n^{11/6})$. We also give linear
bounds for parameterized and order-preserving squares for alphabets of constant
size: $\mathit{SQ}_{\mathrm{param}}(n,O(1))=\Theta(n)$,
$\mathit{SQ}_{\mathrm{op}}(n,O(1))=\Theta(n)$. The upper bounds have quadratic
dependence on the alphabet size for order-preserving squares and exponential
dependence for parameterized squares.
  As a side result we construct infinite words over the smallest alphabet which
avoid nontrivial order-preserving squares and nontrivial parameterized cubes
(nontrivial parameterized squares cannot be avoided in an infinite word).


title: Pseudo Markovian Viscosity Solutions of Fully Nonlinear Degenerate PPDEs

abstract:
  In this paper we propose a new type of viscosity solutions for fully
nonlinear path dependent PDEs. By restricting to certain pseudo Markovian
structure, we remove the uniform non- degeneracy condition imposed in our
earlier works [9, 10]. We establish the comparison principle under natural and
mild conditions. Moreover, as applications we apply our results to two
important classes of PPDEs: the stochastic HJB equations and the path dependent
Isaacs equations, induced from the stochastic optimization with random
coefficients and the path dependent zero sum game problem, respectively.


title:
Controllability of a viscoelastic plate using one boundary control in
  displacement or bending

abstract:
  In this paper we consider a viscoelastic plate (linear viscoelasticity of the
Maxwell-Boltzmann type) and we compare its controllability properties with the
(known) controllability of a purely elastic plate (the control acts on the
boundary displacement or bending). By combining operator and moment methods, we
prove that the viscoelastic plate inherits the controllability properties of
the purely elastic plate.


title: White-light Quantitative Phase Imaging Unit

abstract:
  We introduce the white light quantitative phase imaging unit (WQPIU) as a
practical realization of quantitative phase imaging (QPI) on standard
microscope platforms. The WQPIU is a compact stand-alone unit which measures
sample induced phase delay under white-light illumination. It does not require
any modification of the microscope or additional accessories for its use. The
principle of the WQPIU based on lateral shearing interferometry and phase
shifting interferometry provides a cost-effective and user-friendly use of QPI.
The validity and capacity of the presented method are demonstrated by measuring
quantitative phase images of polystyrene beads, human red blood cells, HeLa
cells and mouse white blood cells. With speckle-free imaging capability due to
the use of white-light illumination, the WQPIU is expected to expand the scope
of QPI in biological sciences as a powerful but simple imaging tool.


title: More on total monochromatic connection of graphs

abstract:
  A graph is said to be {\it total-colored} if all the edges and the vertices
of the graph are colored. A total-coloring of a graph is a {\it total
monochromatically-connecting coloring} ({\it TMC-coloring}, for short) if any
two vertices of the graph are connected by a path whose edges and internal
vertices on the path have the same color. For a connected graph $G$, the {\it
total monochromatic connection number}, denoted by $tmc(G)$, is defined as the
maximum number of colors used in a TMC-coloring of $G$. Note that a
TMC-coloring does not exist if $G$ is not connected, in which case we simply
let $tmc(G)=0$. In this paper, we first characterize all graphs of order $n$
and size $m$ with $tmc(G)=3,4,5,6,m+n-2,m+n-3$ and $m+n-4$, respectively. Then
we determine the threshold function for a random graph to have $tmc(G)\geq
f(n)$, where $f(n)$ is a function satisfying $1\leq f(n)<\frac{1}{2}n(n-1)+n$.
Finally, we show that for a given connected graph $G$, and a positive integer
$L$ with $L\leq m+n$, it is NP-complete to decide whether $tmc(G)\geq L$.


title:
Ragas in Bollywood music A microscopic view through multrifractal
  cross-correlation method

abstract:
  Since the start of Indian cinema, a number of films have been made where a
particular song is based on a certain raga. These songs have been taking a
major role in spreading the essence of classical music to the common people,
who have no formal exposure to classical music. In this paper, we look to
explore what are the particular features of a certain raga which make it
understandable to common people and enrich the song to a great extent. For
this, we chose two common ragas of Hindustani classical music, namely "Bhairav"
and "Mian ki Malhar" which are known to have widespread application in popular
film music. We have taken 3 minute clips of these two ragas from the renderings
of two eminent maestros of Hindustani classical music. 3 min clips of ten (10)
widely popular songs of Bollywood films were selected for analysis. These were
analyzed with the help of a latest non linear analysis technique called
Multifractal Detrended Cross correlation Analysis (MFDXA). With this technique,
all parts of the Film music and the renderings from the eminent maestros are
analyzed to find out a cross correlation coefficient ({\gamma}x) which gives
the degree of correlation between these two signals. We hypothesize that the
parts which have the highest degree of cross correlation are the parts in which
that particular raga is established in the song. Also the variation of cross
correlation coefficient in the different parts of the two samples gives a
measure of the modulation that is executed by the singer. Thus, in nutshell we
try to study scientifically the amount of correlation that exists between the
raga and the same raga being utilized in Film music. This will help in
generating an automated algorithm through which a na\"ive listener will relish
the flavor of a particular raga in a popular film song. The results are
discussed in detail.


title:
The Holmes--Wick theorem on two-weight bounds for higher order
  commutators revisited

abstract:
  A sufficient condition for the two-weight boundedness of higher order
commutators was recently obtained by Holmes and Wick in terms of an
intersection of two BMO spaces. We provide an alternative proof, showing that
the higher order case can be deduced by a classical Cauchy integral argument
from the corresponding first order result of Holmes, Lacey and Wick.


title: Infrared Colorization Using Deep Convolutional Neural Networks

abstract:
  This paper proposes a method for transferring the RGB color spectrum to
near-infrared (NIR) images using deep multi-scale convolutional neural
networks. A direct and integrated transfer between NIR and RGB pixels is
trained. The trained model does not require any user guidance or a reference
image database in the recall phase to produce images with a natural appearance.
To preserve the rich details of the NIR image, its high frequency features are
transferred to the estimated RGB image. The presented approach is trained and
evaluated on a real-world dataset containing a large amount of road scene
images in summer. The dataset was captured by a multi-CCD NIR/RGB camera, which
ensures a perfect pixel to pixel registration.


title:
Magnitude and phase reciprocity calibration of ultrasonic piezoelectric
  disk in air

abstract:
  A modified conventional three-transducer reciprocity calibration method is
used to measure the magnitude and phase responses of the transmitting voltage
response and the free-field open-circuit receiving voltage sensitivity of
ultrasonic piezoelectric transducers radiating in air at 1 atm. The transducers
used in this work are 20 x 2 mm circular piezoelectric ceramic disks with their
first and second radial modes at approximately 100 and 250 kHz, respectively.
The transducer characterization is supported and aided by finite element
simulations of the measurement system and the measured frequency responses.
Preliminary results indicate that the magnitude and phase responses of the
transmitting voltage response and the free-field open-circuit receiving voltage
sensitivity can be measured with fair accuracy in a limited frequency band
around the first radial mode of the piezoelectric ceramic disk. Further work is
needed to demonstrate and quantify the accuracy actually obtained using the
three-transducer reciprocity calibration method, to achieve transducer
characterization at a calibration accuracy level, and to achieve calibration
above the calibrated frequency range of the B&K 4138 microphone.


title: On underwater sound reflection from layered ice sheets

abstract:
  Reflection of sound from ice sheets floating on water is simulated using
Thomson and Haskell's method of matrix propagation. The reflection coefficient
is computed as a function of incidence angle and frequency for selected ice
parameters of a uniform sheet and two layered ice sheets. At some incidence
angles and frequencies the reflection coefficient has very low values. It is
shown that this is related to generation of Lamb waves in the ice. The matrix
propagation method also provides a dispersion equation for a plate loaded with
fluid on one side and vacuum on the other. Finally the concept of beam
displacement is briefly discussed.


title:
Simple illustrations of range-dependence and 3-D effects by normal-mode
  sound propagation modelling

abstract:
  As is well known, the sound-speed profile has significant effects on
underwater acoustic sound propagation. These effects can be quantified by
normal-mode models, for example. The basic case is a laterally homogeneous
medium, for which the sound speed and the density depend on depth only and not
on horizontal position. Effects of horizontal medium-parameter variation can be
quantified by coupled-mode models, with coupling between mode expansions for
laterally homogeneous parts of the medium. In the present paper, these effects
are illustrated for media with a particularly simple horizontal parameter
variation such that mode shapes do not vary with horizontal position. The modal
wavenumbers depend on horizontal position, however. At a vertical interface
between regions with laterally homogeneous medium parameters, each mode is
reflected as well as transmitted. For the media considered, reflection and
transmission coefficients can be computed separately for each mode without mode
coupling, and this is done recursively, stepping through the laterally
homogeneous regions in appropriate order. Continuous-wave as well as pulse
computations are used to illustrate frequency-dependent reflections from ridges
and diffraction into shadow zones behind islands, for example.


title:
Detection of Single Nanoparticles Using the Dissipative Interaction in a
  High-Q Microcavity

abstract:
  Ultrasensitive optical detection of nanometer-scaled particles is highly
desirable for applications in early-stage diagnosis of human diseases,
environmental monitoring, and homeland security, but remains extremely
difficult due to ultralow polarizabilities of small-sized, low-index particles.
Optical whispering-gallery-mode microcavities, which can enhance significantly
the light-matter interaction, have emerged as promising platforms for
label-free detection of nanoscale objects. Different from the conventional
whispering-gallery-mode sensing relying on the reactive (i.e., dispersive)
interaction, here we propose and demonstrate to detect single lossy
nanoparticles using the dissipative interaction in a high-$Q$ toroidal
microcavity. In the experiment, detection of single gold nanorods in an aqueous
environment is realized by monitoring simultaneously the linewidth change and
shift of the cavity mode. The experimental result falls within the theoretical
prediction. Remarkably, the reactive and dissipative sensing methods are
evaluated by setting the probe wavelength on and off the surface plasmon
resonance to tune the absorption of nanorods, which demonstrates clearly the
great potential of the dissipative sensing method to detect lossy
nanoparticles. Future applications could also combine the dissipative and
reactive sensing methods, which may provide better characterizations of
nanoparticles.


title:
Variation of singing styles within a particular Gharana of Hindustani
  classical music A nonlinear multifractal study

abstract:
  Hindustani classical music is entirely based on the "Raga" structures. In
Hindustani music, a "Gharana" or school refers to the adherence of a group of
musicians to a particular musical style. Gharanas have their basis in the
traditional mode of musical training and education. Every Gharana has its own
distinct features; though within a particular Gharana, significant differences
in singing styles are observed between generations of performers, which can be
ascribed to the individual creativity of that singer. This work aims to study
the evolution of singing style among four artists of four consecutive
generations from Patiala Gharana. For this, alap and bandish parts of two
different Ragas sung by the four artists were analyzed with the help of non
linear multifractal analysis (MFDFA) technique. The multifractal spectral width
obtained from the MFDFA method gives an estimate of the complexity of the
signal. The observations from the variation of spectral width give a cue
towards the scientific recognition of Guru-Shisya Parampara (teacher-student
tradition) - a hitherto much-heard philosophical term. From a quantitative
approach this study succeeds in analyzing the evolution of singing styles
within a particular Gharana over generations of artists as well as the effect
of globalization in the field of classical music.


title: Measurements on a little known sound source - the Vortex Whistle

abstract:
  Acoustic measurements on a vortex whistle corroborates earlier findings that
the frequency increases linearly with the velocity of the air flowing into the
whistle. Measurements in a reverberant chamber shows that the acoustic power
generated by the whistle increases close to the sixth power of the frequency.
PIV and hot-wire measurements give quantitative information on the flow. It is
shown that the flow exits the pipe as a swirling annulus with a rotation
corresponding to the frequency of the sound, and that the center of the swirl
follows a nearly circular path in the exit plane. The PIV measurements also
indicate a toroidal vortex with inflow along the center line close to the exit
of the whistle.


title:
Oscillatory Response of the Solar Chromosphere to a Strong Downflow
  above a Sunspot

abstract:
  We report three-minute oscillations in the solar chromosphere driven by a
strong downflow event in a sunspot. We used the Fast Imaging Solar Spectrograph
of the 1.6 m New Solar Telescope and the Interface Region Imaging Spectrograph
(IRIS). The strong downflow event is identified in the chromospheric and
transition region lines above the sunspot umbra. After the event, oscillations
occur at the same region. The amplitude of the Doppler velocity oscillations is
2 km/s, and gradually decreases with time. In addition, the period of the
oscillations gradually increases from 2.7 minutes to 3.3 minutes. In the IRIS
1330 slit-jaw images, we identify a transient brightening near the footpoint of
the downflow detected in the Ha+0.5A image. The characteristics of the
downflowing material are consistent with those of sunspot plumes. Based on our
findings, we suggest that the gravitationally stratified atmosphere came to
oscillate with three minute period in response to the impulsive downflow event
as was theoretically investigated by Chae & Goode(2015).


title: SensIs - Underwater acoustic network for ice-monitoring

abstract:
  Routing for low latency underwater acoustic network-communication is
investigated. The application is monitoring of ice-threats to offshore
operations in the Arctic - to provide warnings that enable operators to react
to such threats. The scenario produces relatively high traffic load, and the
network should favour low delay and adequate reliability rather than energy
usage minimization. The ICRP (Information-Carrying based Routing Protocol),
originally proposed by Wei Liang et al. in 2007, is chosen as basis. ICRP
obtains unicast routing paths by sending data payload as broadcast packets when
no route information is available. Thus, data can be delivered without the cost
of reactive signalling latency. In this paper we explore the capabilities of a
slightly enhanced/adapted ICRP, tailored to the ice monitoring application. By
simulations and experiments at sea it is demonstrated that the protocol
performs well and can manage the applications high traffic load - this provided
that the point-to-point links provide sufficient bit rates and capacity
headroom.


title: Acoustic measurements above a plate carrying Lamb waves

abstract:
  This article presents a set of acoustic measurements conducted on the Statoil
funded Behind Casing Logging Set-Up, designed by SINTEF Petroleum Research to
resemble an oil well casing. A set of simple simulations using COMSOL
Multiphysics were also conducted and the results compared with the
measurements. The experiments consists of measuring the pressure wave radiated
of a set of Lamb waves propagating in a 3 mm thick steel plate, using the so
called pitch-catch method. The Lamb waves were excited by a broadband
piezoelectric immersion transducer with center frequency of 1 MHz. Through
measurements and analysis the group velocity of the fastest mode in the plate
was found to be 3138.5 m/s. Measuring the wave radiated into the water in a
grid consisting of 8x33 measuring points, the spreading of the plate wave
normal to the direction of propagation was investigated. Comparing the point
where the amplitude had decreased 50 % relative to the amplitude measured at
the axis pointing straight forward from the transducer shows that the wave
spread out 3.2 mm after propagating 140 mm in the plate.


title:
Sound velocity measurement methods for porous sandstone. Measurements,
  finite element modelling, and diffraction correction

abstract:
  Acoustic material parameters of gas hydrate bearing porous rocks are
important for evaluation of methods to exploit the vast methane gas resources
present in the earth's subsurface, potentially combined with CO2 injection. A
solid buffer method for measuring changes of the compressional wave velocity in
porous rocks with changing methane hydrate contents under high-pressure
hydrate-forming conditions, is tested and evaluated with respect to effects
influencing on the measurement accuracy. The limited space available in the
pressure chamber represents a challenge for the measurement method. Several
effects affect the measured compressional wave velocity, such as interference
from sidewall reflections, diffraction effects, the amount of torque (force)
used to achieve acoustic coupling, and water draining of the watersaturated
rock specimen. Test measurements using the solid buffer method in the pressure
chamber at atmospheric conditions are compared to independent measurements
using a water-bath immersion measurement method. Compressional wave velocity
measurements have been done in the steady state region at frequency 500 kHz for
various specimen made of plexiglas and Bentheim sandstone. Finite element
simulations of the solid buffer measurement method with plexiglas specimen have
been used for comparison with the measurements, and to aid in the design,
control, and evaluation of the measurement method and results. Highly favorable
agreement between the two measurement methods has been obtained, also with
respect to repeatability and reproducibility. The results indicate that the
solid buffer method may be suitable for use in the pressure chamber with
Bentheim sandstone and changing methane hydrate contents under high-pressure
hydrate-forming conditions, for quantitative measurements of the compressional
wave velocity in such rock core samples at these frequencies.


title: Cluster tilting modules and noncommutative projective schemes

abstract:
  In this paper, we study the relationship between equivalences of
noncommutative projective schemes and cluster tilting modules. In particular,
we prove the following result. Let $A$ be an AS-Gorenstein algebra of dimension
$d\geq 2$ and ${\mathsf{tails}\,} A$ the noncommutative projective scheme
associated to $A$. If $\operatorname{gldim}({\mathsf{tails}\,} A)< \infty$ and
$A$ has a $(d-1)$-cluster tilting module $X$ satisfying that its graded
endomorphism algebra is $\mathbb N$-graded, then the graded endomorphism
algebra $B$ of a basic $(d-1)$-cluster tilting submodule of $X$ is a two-sided
noetherian $\mathbb N$-graded AS-regular algebra over $B_0$ of global dimension
$d$ such that ${\mathsf{tails}\,} B$ is equivalent to ${\mathsf{tails}\,} A$.


title:
Target echo strength modelling at FOI, including results from the BeTSSi
  II workshop

abstract:
  An overview of the target echo strength (TS) modelling capacity at the
Swedish Defense Research Agency (FOI) is presented. The modelling methods
described range from approximate ones, such as raytracing and Kirchhoff
approximation codes, to high accuracy full field codes including boundary
integral equation methods and finite elements methods. Illustrations of the
applicability of the codes are given for a few simple cases tackled during the
BeTTSi II (Benchmark Target Echo Strength Simulation) workshop held in Kiel
2014.


title:
Transducer finite aperture effects in sound transmission near leaky Lamb
  modes in elastic plates at normal incidence

abstract:
  The interaction of ultrasonic waves with fluid-embedded viscoelastic plates,
pipes, and shells, have been subject to extensive theoretical and experimental
studies over several decades. In normal-incidence through-transmission
measurements of a water-embedded solid plate using ultrasonic piezoelectric
transducer sound fields, significant deviations from plane wave theory have
recently been observed. To quantitatively describe such measured phenomena,
finite element modeling (FEM), also combined with an angular spectrum method
(ASM), have been used for three-dimensional (3D) simulation of the
voltage-to-sound-pressure signal propagation through the electro-acoustic
measurement system consisting of the piezoelectric transducer, the
water-embedded steel plate, and the fluid regions at both sides of the plate.
The observed phenomena of frequency downshift of the plate resonance, increased
sound pressure level through the plate, and beam narrowing / widening, are
ascribed to the finite angular spectrum of the beam, that excites a region of
negative and zero group velocity for the leaky Lamb mode in question.


title:
Construction and Test of the Precision Drift Chambers for the ATLAS Muon
  Spectrometer

abstract:
  The Monitored Drift Tube (MDT) chambers for the muon spectrometer of the
ATLAS detector at the Large Hadron Collider (LHC) consist of 3-4 layers of
pressurised drift tubes on either side of a space frame carrying an optical
deformation monitoring system. The chambers have to provide a track position
resolution of 40 microns with a single-tube resolution of at least 80 microns
and a sense wire positioning accu- racy of 20 ?microns (rms). The feasibility
was demonstrated with the full-scale prototype of one of the largest MDT
chambers with 432 drift tubes of 3.8 m length. For the ATLAS muon spectrometer,
88 chambers of this type have to be built. The first chamber has been completed
with a wire positioning accuracy of 14 microns (rms).


title:
Optimization of light yield by injection of the optical filler into the
  co extruded hole of plastic scintillation bar with WLS fiber in it

abstract:
  Results of the measurements with cosmic muons for the light yield of 2-meter
long extruded scintillation bar (strip) as a function of distance for different
options for light collection technique are presented. Scintillation strip cross
section geometry was a triangle made on polystyrene plastic scintillator with
dopants of 2% PTP and 0.03% POPOP, extruded with 2.6 mm diameter hole and
produced at ISMA (Kharkov, Ukraine). It was shown that the insertion of the
optical transparent resin (BC 600 or CKTN MED(E)) by special technique into the
co-extruded hole with 1.0 mm or 1.2 mm wave-length shifter (WLS) fiber Kuraray
Y11 (200) MC in it significantly improves light collection by factor of
1.6...1.9 against of the 'dry' case.


title:
Spectral decomposition of black-hole perturbations on hyperboloidal
  slices

abstract:
  In this paper we present a spectral decomposition of solutions to
relativistic wave equations described on horizon penetrating hyperboloidal
slices within a given Schwarzschild-black-hole background. The wave equa- tion
in question is Laplace-transformed which leads to a spatial differential
equation with a complex parameter. For initial data which are analytic with
respect to a compactified spatial coordinate, this equation is treated with the
help of the Mathematica-package in terms of a sophisticated Taylor series
analysis. Thereby, all ingredients of the desired spectral decomposition arise
explicitly to arbitrarily prescribed accuracy, including quasi normal modes,
quasi normal mode amplitudes as well as the jump of the Laplace-transform along
the branch cut. Finally, all contributions are put together to obtain via the
inverse Laplace transformation the spectral de- composition in question. The
paper explains extensively this procedure and includes detailed discussions of
relevant aspects, such as the definition of quasi normal modes and the question
regarding the contribution of infinity frequencies modes to the early time
response of the black hole.


title:
Dynamics of excitons in individual InAs quantum dots revealed in
  four-wave mixing spectroscopy

abstract:
  A detailed understanding of the population and coherence dynamics in
optically driven individual emitters in solids and their signatures in
ultrafast nonlinear-optical signals is of prime importance for their
applications in future quantum and optical technologies. In a combined
experimental and theoretical study on exciton complexes in single semiconductor
quantum dots we reveal a detailed picture of the dynamics employing three-beam
polarization-resolved four-wave mixing (FWM) micro-spectroscopy. The
oscillatory dynamics of the FWM signals in the exciton-biexciton system is
governed by the fine-structure splitting and the biexciton binding energy in an
excellent quantitative agreement between measurement and analytical
description. The analysis of the excitation conditions exhibits a dependence of
the dynamics on the specific choice of polarization configuration, pulse areas
and temporal ordering of driving fields. The interplay between the transitions
in the four-level exciton system leads to rich evolution of coherence and
population. Using two-dimensional FWM spectroscopy we elucidate the
exciton-biexciton coupling and identify neutral and charged exciton complexes
in a single quantum dot. Our investigations thus clearly reveal that FWM
spectroscopy is a powerful tool to characterize spectral and dynamical
properties of single quantum structures.


title: Constraining particle dark matter using local galaxy distribution

abstract:
  It has been long discussed that cosmic rays may contain signals of dark
matter. In the last couple of years an anomaly of cosmic-ray positrons has
drawn a lot of attentions, and recently an excess in cosmic-ray anti-proton has
been reported by AMS-02 collaboration. Both excesses may indicate towards
decaying or annihilating dark matter with a mass of around 1-10 TeV. In this
article we study the gamma rays from dark matter and constraints from cross
correlations with distribution of galaxies, particularly in a local volume. We
find that gamma rays due to inverse-Compton process have large intensity, and
hence they give stringent constraints on dark matter scenarios in the TeV scale
mass regime. Taking the recent developments in modeling astrophysical gamma-ray
sources as well as comprehensive possibilities of the final state products of
dark matter decay or annihilation into account, we show that the parameter
regions of decaying dark matter that are suggested to explain the excesses are
excluded. We also discuss the constrains on annihilating scenarios.


title: Probabilistic classifiers with low rank indefinite kernels

abstract:
  Indefinite similarity measures can be frequently found in bio-informatics by
means of alignment scores, but are also common in other fields like shape
measures in image retrieval. Lacking an underlying vector space, the data are
given as pairwise similarities only. The few algorithms available for such data
do not scale to larger datasets. Focusing on probabilistic batch classifiers,
the Indefinite Kernel Fisher Discriminant (iKFD) and the Probabilistic
Classification Vector Machine (PCVM) are both effective algorithms for this
type of data but, with cubic complexity. Here we propose an extension of iKFD
and PCVM such that linear runtime and memory complexity is achieved for low
rank indefinite kernels. Employing the Nystr\"om approximation for indefinite
kernels, we also propose a new almost parameter free approach to identify the
landmarks, restricted to a supervised learning problem. Evaluations at several
larger similarity data from various domains show that the proposed methods
provides similar generalization capabilities while being easier to parametrize
and substantially faster for large scale data.


title: A kilobyte rewritable atomic memory

abstract:
  The advent of devices based on single dopants, such as the single atom
transistor, the single spin magnetometer and the single atom memory, motivates
the quest for strategies that permit to control matter with atomic precision.
Manipulation of individual atoms by means of low-temperature scanning
tunnelling microscopy provides ways to store data in atoms, encoded either into
their charge state, magnetization state or lattice position. A defining
challenge at this stage is the controlled integration of these individual
functional atoms into extended, scalable atomic circuits. Here we present a
robust digital atomic scale memory of up to 1 kilobyte (8,000 bits) using an
array of individual surface vacancies in a chlorine terminated Cu(100) surface.
The memory can be read and rewritten automatically by means of atomic scale
markers, and offers an areal density of 502 Terabits per square inch,
outperforming state-of-the-art hard disk drives by three orders of magnitude.
Furthermore, the chlorine vacancies are found to be stable at temperatures up
to 77 K, offering prospects for expanding large-scale atomic assembly towards
ambient conditions.


title: A Modified Gravity Theory: Null Aether

abstract:
  General quantum gravity arguments predict that Lorentz symmetry might not
hold exactly in nature. This has motivated much interest in Lorentz breaking
gravity theories recently. Among such models are vector-tensor theories with
preferred direction established at every point of spacetime by a fixed-norm
vector field. The dynamical vector field defined in this way is referred to as
the \textquotedblleft aether." In this paper, we put forward the idea of a
\textit{null} aether field and introduce, for the first time, the Null Aether
Theory (NAT)--a vector-tensor theory. We first study the Newtonian limit of
this theory and then construct exact spherically symmetric black hole solutions
in the theory in four dimensions, which contain Vaidya-type non-static
solutions and static Schwarzschild-(A)dS type solutions,
Reissner-Nordstr\"{o}m-(A)dS type solutions and solutions of conformal gravity
as special cases. Afterwards, we study the cosmological solutions in NAT: We
find some exact solutions with perfect fluid distribution for spatially flat
FLRW metric and null aether propagating along the $x$ direction. We observe
that there are solutions in which the universe has big-bang singularity and
null field diminishes asymptotically. We also study exact gravitational wave
solutions--AdS-plane waves and $pp$-waves--in this theory in any dimension
$D\geq3$. Assuming the Kerr-Schild-Kundt class of metrics for such solutions,
we show that the full field equations of the theory are reduced to two, in
general coupled, differential equations when the background metric assumes the
maximally symmetric form. The main conclusion of these computations is that the
spin-0 aether field acquires a \textquotedblleft mass" determined by the
cosmological constant of the background spacetime and the Lagrange multiplier
given in the theory.


title: Material Optimization for Nonlinearly Elastic Planar Beams

abstract:
  We consider the problem of an optimal distribution of soft and hard material
for nonlinearly elastic planar beams. We prove that under gravitational force
the optimal distribution involves no microstructure and is ordered, and we
provide numerical simulations confirming and extending this observation.


title:
Planar mappings of subexponentially integrable distortion --
  integrability of distortion of inverses

abstract:
  We establish the optimal regularity for the distortion of inverses of
mappings of finite distortion with logarithm-iterated style subexponentially
integrable distortion, which generalizes the Theorem 1. of [J. Gill, Ann. Acad.
Sci. Fenn. Math. 35 (2010), no. 1, 197--207].


title: On the value of being American

abstract:
  The virtue of an American option is that it can be exercised at any time.
This right is particularly valuable when there is model uncertainty. Yet almost
all the extensive literature on American options assumes away model
uncertainty. This paper quantifies the potential value of this flexibility by
identifying the supremum on the price of an American option when no model is
imposed on the data, but rather any model is required to be consistent with a
family of European call prices. The bound is enforced by a hedging strategy
involving these call options which is robust to model error.


title: Single-Molecule Protein Identification by Sub-Nanopore Sensors

abstract:
  Recent advances in top-down mass spectrometry enabled identification of
intact proteins, but this technology still faces challenges. For example,
top-down mass spectrometry suffers from a lack of sensitivity since the ion
counts for a single fragmentation event are often low. In contrast, nanopore
technology is exquisitely sensitive to single intact molecules, but it has only
been successfully applied to DNA sequencing, so far. Here, we explore the
potential of sub-nanopores for single-molecule protein identification (SMPI)
and describe an algorithm for identification of the electrical current blockade
signal (nanospectrum) resulting from the translocation of a denaturated,
linearly charged protein through a sub-nanopore. The analysis of identification
p-values suggests that the current technology is already sufficient for
matching nanospectra against small protein databases, e.g., protein
identification in bacterial proteomes.


title: Deep Structured Scene Parsing by Learning with Image Descriptions

abstract:
  This paper addresses a fundamental problem of scene understanding: How to
parse the scene image into a structured configuration (i.e., a semantic object
hierarchy with object interaction relations) that finely accords with human
perception. We propose a deep architecture consisting of two networks: i) a
convolutional neural network (CNN) extracting the image representation for
pixelwise object labeling and ii) a recursive neural network (RNN) discovering
the hierarchical object structure and the inter-object relations. Rather than
relying on elaborative user annotations (e.g., manually labeling semantic maps
and relations), we train our deep model in a weakly-supervised manner by
leveraging the descriptive sentences of the training images. Specifically, we
decompose each sentence into a semantic tree consisting of nouns and verb
phrases, and facilitate these trees discovering the configurations of the
training images. Once these scene configurations are determined, then the
parameters of both the CNN and RNN are updated accordingly by back propagation.
The entire model training is accomplished through an Expectation-Maximization
method. Extensive experiments suggest that our model is capable of producing
meaningful and structured scene configurations and achieving more favorable
scene labeling performance on PASCAL VOC 2012 over other state-of-the-art
weakly-supervised methods.


title: Renormalization-group improved inflationary scenarios

abstract:
  The possibility to construct an inflationary scenario for
renormalization-group improved potentials corresponding to the Higgs sector of
quantum field models is investigated. Taking into account quantum corrections
to the renormalization-group potential which sums all leading logs of
perturbation theory is essential for a successful realization of the
inflationary scenario, with very reasonable parameters values. The scalar
electrodynamics inflationary scenario thus obtained are seen to be in good
agreement with the most recent observational data.


title: Generation of hypermagnetic helicity and leptogenesis in early universe

abstract:
  We study hypermagnetic helicity and lepton asymmetry evolution in plasma of
the early Universe before the electroweak phase transition (EWPT) accounting
for chirality flip processes via inverse Higgs decays and sphaleron transitions
which violate the left lepton number and wash out the baryon asymmetry of the
Universe (BAU). In the scenario where the right electron asymmetry supports the
BAU alone through the conservation law $B/3 - L_{eR}=const$ at temperatures
$T>T_{RL}\simeq 10~TeV$ the following universe cooling leads to the production
of a non-zero left lepton (electrons and neutrinos) asymmetry. This is due to
the Higgs decays becoming more faster when entering the equilibrium at
$T=T_{RL}$ with the universe expansion, $\Gamma_{RL}\sim T> H\sim T^2$ ,
resulting in the parallel evolution of the right and the left electron
asymmetries at $T<T_{RL}$ through the corresponding Abelian anomalies in SM in
the presence of a seed hypermagnetic field. The hypermagnetic helicity
evolution proceeds in a self-consistent way with the lepton asymmetry growth.
The role of sphaleron transitions decreasing the left lepton number turns out
to be negligible in given scenario. The hypermagnetic helicity plays a key role
in lepto/baryogenesis in our scenario and the more hypermagnetic field is close
to the maximum helical one the faster BAU grows up the observable value ,
$B_{obs}\sim 10^{-10}$.


title: More on hedging American options under model uncertainty

abstract:
  The purpose of this note is to reconcile two different results concerning the
model-free upper bound on the price of an American option, given a set of
European option prices. Neuberger (2007, `Bounds on the American option') and
Hobson and Neuberger (2016, `On the value of being American') argue that the
cost of the cheapest super-replicating strategy is equal to the highest
model-based price, where we search over all models which price correctly the
given European options. Bayraktar, Huang and Zhou (2015, `On hedging American
options under model uncertainty', SIAM J. Financial Math ematics) argue that
the cost of the cheapest super-replicating strategy can strictly exceed the
highest model-based price. We show that the reason for the difference in
conclusion is that Bayraktar et al do not search over a rich enough class of
models.


title: Online Open World Recognition

abstract:
  As we enter into the big data age and an avalanche of images have become
readily available, recognition systems face the need to move from close, lab
settings where the number of classes and training data are fixed, to dynamic
scenarios where the number of categories to be recognized grows continuously
over time, as well as new data providing useful information to update the
system. Recent attempts, like the open world recognition framework, tried to
inject dynamics into the system by detecting new unknown classes and adding
them incrementally, while at the same time continuously updating the models for
the known classes. incrementally adding new classes and detecting instances
from unknown classes, while at the same time continuously updating the models
for the known classes. In this paper we argue that to properly capture the
intrinsic dynamic of open world recognition, it is necessary to add to these
aspects (a) the incremental learning of the underlying metric, (b) the
incremental estimate of confidence thresholds for the unknown classes, and (c)
the use of local learning to precisely describe the space of classes. We extend
three existing metric learning algorithms towards these goals by using online
metric learning. Experimentally we validate our approach on two large-scale
datasets in different learning scenarios. For all these scenarios our proposed
methods outperform their non-online counterparts. We conclude that local and
online learning is important to capture the full dynamics of open world
recognition.


title: Be Stars in the Open Cluster NGC 6830

abstract:
  We report the discovery of 2 new Be stars, and re-identify one known Be star
in the open cluster NGC 6830. Eleven H-alpha emitters were discovered using the
H-alpha imaging photometry of the Palomar Transient Factory Survey. Stellar
membership of the candidates was verified with photometric and kinematic
information using 2MASS data and proper motions. The spectroscopic confirmation
was carried out by using the Shane 3-m telescope at Lick observatory. Based on
their spectral types, three H-alpha emitters were confirmed as Be stars with
H-alpha equivalent widths > -10 Angstrom. Two objects were also observed by the
new spectrograph SED-Machine on the Palomar 60 inch Telescope. The SED-Machine
results show strong H-alpha emission lines, which are consistent with the
results of the Lick observations. The high efficiency of the SED-Machine can
provide rapid observations for Be stars in a comprehensive survey in the
future.


title: A modified block Lanczos algorithm with fewer vectors

abstract:
  The block Lanczos algorithm proposed by Peter Montgomery is an efficient
means to tackle the sparse linear algebra problem which arises in the context
of the number field sieve factoring algorithm and its predecessors. We present
here a modified version of the algorithm, which incorporates several
improvements: we discuss how to efficiently handle homogeneous systems and how
to reduce the number of vectors stored in the course of the computation. We
also provide heuristic justification for the success probability of our
modified algorithm. While the overall complexity and expected number of steps
of the block Lanczos is not changed by the modifications presented in this
article, we expect these to be useful for implementations of the block Lanczos
algorithm where the storage of auxiliary vectors sometimes has a non-negligible
cost. 1 Linear systems for integer factoring For factoring a composite integer
N, algorithms based on the technique of combination of congruences look for
several pairs of integers (x, y) such that x 2 $\not\equiv$ y 2 mod N. This
equality is hoped to be non trivial for at least one of the obtained pairs,
letting gcd(x -- y, N) unveil a factor of the integer N. Several algorithms use
this strategy: the CFRAC algorithm, the quadratic sieve and its variants, and
the number field sieve. Pairs (x, y) as above are obtained by combining
relations which have been collected as a step of these algorithms. Relations
are written multiplicatively as a set of valuations. All the algorithms
considered seek a multiplicative combination of these relations which can be
rewritten as an equality of squares. This is achieved by solving a system of
linear equations defined over F 2, where equations are parity constraints on


title: Two-level lot-sizing with inventory bounds

abstract:
  We study a two-level uncapacitated lot-sizing problem with inventory bounds
that occurs in a supply chain composed of a supplier and a retailer. The first
level with the demands is the retailer level and the second one is the supplier
level. The aim is to minimize the cost of the supply chain so as to satisfy the
demands when the quantity of item that can be held in inventory at each period
is limited. The inventory bounds can be imposed at the retailer level, at the
supplier level or at both levels. We propose a polynomial dynamic programming
algorithm to solve this problem when the inventory bounds are set on the
retailer level. When the inventory bounds are set on the supplier level, we
show that the problem is NP-hard. We give a pseudo-polynomial algorithm which
solves this problem when there are inventory bounds on both levels. In the case
where demand lot-splitting is not allowed, i.e. each demand has to be satisfied
by a single order, we prove that the uncapacitated lot-sizing problem with
inventory bounds is strongly NP-hard. This implies that the two-level
lot-sizing problems with inventory bounds are also strongly NP-hard when demand
lot-splitting is considered.


title:
Non-Markovian Quantum Feedback Networks I: Quantum Transmission Lines,
  Lossless Bounded Real Property and Limit Markovian Channels

abstract:
  The purpose of this paper is to set out the problems of modeling quantum
communication and signal processing where the communication between systems via
a non-Markovian channel. This is a general feature of quantum transmission
lines. Our ultimate objective is to extend the networks rules that have been
developed for Markovian models. To this end we recall the Hamiltonian
description of such non-Markov models of transmission lines and their
quantization. These have occurred in the context of non-quilibrium
thermodynamics, but our interest is in the transmission lines as carriers of
information rather than heat baths. We show that there is an analytic
scattering matrix associated with these models and that stability may be
formulated in terms of the lossless bounded real property. Noting that the
input and output fields do not separately satisfy a non-self- demolition
principle, we discuss the rigorous limit in which such models appear Markov and
so amenable to standard approaches of quantum filtering and control


title:
Derivation of models for linear viscoelastic shells by using asymptotic
  analysis

abstract:
  We consider a family of linear viscoelastic shells with thickness
$2\varepsilon$ ( $\varepsilon$ , small parameter), clamped along a portion of
their lateral face, all having the same middle surface $S$. We formulate the
three-dimensional mechanical problem in curvilinear coordinates and provide
existence and uniqueness of (weak) solution of the corresponding
three-dimensional variational problem.
  We are interested in studying the limit behavior of the three-dimensional
problems and their solutions (displacements $\mathbf{u}^\varepsilon$ of
components $u_i^\varepsilon$) when $\varepsilon$ tends to zero. To do that, we
use asymptotic analysis methods. First, we formulate the variational problem in
a fixed domain independent of $\varepsilon$. Then we assume an asymptotic
expansion of the scaled displacements field
$\mathbf{u}(\varepsilon)=(u_i(\varepsilon))$. Identifying the terms of the
proposed asymptotic expansion we characterize the zeroth order term as the
solution of a two-dimensional scaled limit problem. Moreover, on one hand, we
find that if the applied body force density is $O(1)$ with respect to
$\varepsilon$ and surface tractions density is $O(\varepsilon)$, the limit of
the field $\mathbf{u}(\varepsilon)$ is the solution of a two-dimensional system
of variational equations called viscoelastic membrane problem. On the other
hand, if the applied body force density is $O(\varepsilon^2)$ and surface
tractions density is $O(\varepsilon^3)$, the limit of the field
$\mathbf{u}(\varepsilon)$ is the solution of a system of two-dimensional
variational equations called viscoelastic flexural problem.
  In both cases, we find a model which presents a long-term memory that takes
into account the deformations at previous times. We comment on the existence
and uniqueness of solution for the two-dimensional variational problems found
and announce convergence results in forthcoming papers.


title: Clustering in stable and exotic nuclei

abstract:
  Since the pioneering discovery of molecular resonances in the 12C+12C
reaction more than half a century ago a great deal of research work has been
undertaken in alpha clustering. Our knowledge on physics of nuclear molecules
has increased considerably and nuclear clustering remains one of the most
fruitful domains of nuclear physics, facing some of the greatest challenges and
opportunities in the years ahead. The occurrence of "exotic" shapes and
Bose-Einstein alpha condensates in light N=Z alpha-conjugate nuclei is
investigated. Various approaches of the superdeformed and hyperdeformed bands
associated with quasimolecular resonant structures are presented. Evolution of
clustering from stability to the drip-lines is examined: clustering aspects
are, in particular, discussed for light exotic nuclei with large neutron excess
such as neutron-rich Oxygen isotopes with their complete spectroscopy.


title:
Joint min-max distribution and Edwards-Anderson's order parameter of the
  circular $1 / f$-noise model

abstract:
  We calculate the joint min--max distribution and the Edwards-Anderson's order
parameter for the circular model of $1 / f$-noise. Both quantities, as well as
generalisations, are obtained exactly by combining the freezing-duality
conjecture and Jack-polynomial techniques. Numerical checks come with
significantly improved control of finite-size effects in the glassy phase, and
the results convincingly validate the freezing-duality conjecture. Application
to diffusive dynamics is discussed. We also provide a formula for the
pre-factor ratio of the joint/marginal Carpentier-Le Doussal tail for
minimum/maximum which applies to any logarithmic random energy model.


title:
Hot accretion flow with radiative cooling: state transitions in black
  hole X-ray binaries

abstract:
  We investigate state transitions in black hole X-ray binaries through
different parameters by using two-dimensional axisymmetric hydrodynamical
simulation method. For radiative cooling in hot accretion flow, we take into
account the bremsstrahlung, synchrotron and synchrotron-self Comptonization
self-consistently in the dynamics. Our main result is that the state
transitions occur when the accretion rate reaches a critical value $\dot M \sim
3\alpha\ \dot M_{\rm Edd}$, above which cold and dense clumpy/filamentary
structures are formed, embedded within the hot gas. We argued this mode likely
corresponds to the proposed two-phase accretion model, which may be responsible
for the intermediate state of black hole X-ray binaries. When the accretion
rate becomes sufficiently high, the clumpy/filamentary structures gradually
merge and settle down onto the mid-plane. Eventually the accretion geometry
transforms to a disc-corona configuration. In summary our results are
consistent with the truncated accretion scenario for the state transition.


title: A High-Level LTL Synthesis Format: TLSF v1.1

abstract:
  We present the Temporal Logic Synthesis Format (TLSF), a high-level format to
describe synthesis problems via Linear Temporal Logic (LTL). The format builds
upon standard LTL, but additionally allows to use high-level constructs, such
as sets and functions, to provide a compact and human-readable representation.
Furthermore, the format allows to identify parameters of a specification such
that a single description can be used to define a family of problems.
Additionally, we present a tool to automatically translate the format into
plain LTL, which then can be used for synthesis by a solver. The tool also
allows to adjust parameters of the specification and to apply standard
transformations on the resulting formula.


title:
Effect of GRB spectra on the empirical luminosity correlations and the
  GRB Hubble diagram

abstract:
  The spectra of gamma-ray bursts (GRBs) in a wide energy range can usually be
well described by the Band function, which is a two smoothly jointed power laws
cutting at a breaking energy. Below the breaking energy, the Band function
reduces to a cut-off power law, while above the breaking energy it is a simple
power law. However, for some detectors (such as the Swift-BAT) whose working
energy is well below or just near the breaking energy, the observed spectra can
be fitted to cut-off power law with enough precision. Besides, since the energy
band of Swift-BAT is very narrow, the spectra of most GRBs can be fitted well
even using a simple power law. In this paper, with the most up-to-date sample
of Swift-BAT GRBs, we study the effect of different spectral models on the
empirical luminosity correlations, and further investigate the effect on the
reconstruction of GRB Hubble diagram. We mainly focus on two luminosity
correlations, i.e., the Amati relation and Yonetoku relation. We calculate
these two luminosity correlations on both the case that the GRB spectra are
modeled by Band function and cut-off power law. It is found that both
luminosity correlations only moderately depend on the choice of GRB spectra.
Monte Carlo simulations show that Amati relation is insensitive to the
high-energy power-law index of the Band function. As a result, the GRB Hubble
diagram calibrated using luminosity correlations is almost independent on the
GRB spectra.


title:
The increase of the light collection from scintillation strip with hole
  for WLS fiber using various types of fillers

abstract:
  The light collection of the extruded scintillator strip samples with WLS
fibers placed in the longitudinal hole in the plates was measured. The holes
were filled with various liquid fillers. Measurements were carried out under
irradiation by cosmic muons. The method of pumping liquid filler with viscosity
more than 10 Pa*s in the strip hole with WLS fiber inside was designed and
successfully tested.


title:
The QWERTY effect on the web: How typing shapes the meaning of words in
  online human-computer interaction

abstract:
  The QWERTY effect postulates that the keyboard layout influences word
meanings by linking positivity to the use of the right hand and negativity to
the use of the left hand. For example, previous research has established that
words with more right hand letters are rated more positively than words with
more left hand letters by human subjects in small scale experiments. In this
paper, we perform large scale investigations of the QWERTY effect on the web.
Using data from eleven web platforms related to products, movies, books, and
videos, we conduct observational tests whether a hand-meaning relationship can
be found in decoding text on the web. Furthermore, we investigate whether
encoding text on the web exhibits the QWERTY effect as well, by analyzing the
relationship between the text of online reviews and their star ratings in four
additional datasets. Overall, we find robust evidence for the QWERTY effect
both at the point of text interpretation (decoding) and at the point of text
creation (encoding). We also find under which conditions the effect might not
hold. Our findings have implications for any algorithmic method aiming to
evaluate the meaning of words on the web, including for example semantic or
sentiment analysis, and show the existence of "dactilar onomatopoeias" that
shape the dynamics of word-meaning associations. To the best of our knowledge,
this is the first work to reveal the extent to which the QWERTY effect exists
in large scale human-computer interaction on the web.


title: On 4-critical t-perfect graphs

abstract:
  It is an open question whether the chromatic number of $t$-perfect graphs is
bounded by a constant. The largest known value for this parameter is 4, and the
only example of a 4-critical $t$-perfect graph, due to Laurent and Seymour, is
the complement of the line graph of the prism $\Pi$ (a graph is 4-critical if
it has chromatic number 4 and all its proper induced subgraphs are
3-colorable).
  In this paper, we show a new example of a 4-critical $t$-perfect graph: the
complement of the line graph of the 5-wheel $W_5$. Furthermore, we prove that
these two examples are in fact the only 4-critical $t$-perfect graphs in the
class of complements of line graphs. As a byproduct, an analogous and more
general result is obtained for $h$-perfect graphs in this class.
  The class of $P_6$-free graphs is a proper superclass of complements of line
graphs and appears as a natural candidate to further investigate the chromatic
number of $t$-perfect graphs. We observe that a result of Randerath,
Schiermeyer and Tewes implies that every $t$-perfect $P_6$-free graph is
4-colorable. Finally, we use results of Chudnovsky et al to show that
$\overline{L(W_5)}$ and $\overline{L(\Pi)}$ are also the only 4-critical
$t$-perfect $P_6$-free graphs.


title:
CALIFA, the Calar Alto Legacy Integral Field Area survey: IV. Third
  Public data release

abstract:
  This paper describes the Third Public Data Release (DR3) of the Calar Alto
Legacy Integral Field Area (CALIFA) survey. Science-grade quality data for 667
galaxies are made public, including the 200 galaxies of the Second Public Data
Release (DR2). Data were obtained with the integral-field spectrograph
PMAS/PPak mounted on the 3.5m telescope at the Calar Alto Observatory. Three
different spectral setups are available, i) a low-resolution V500 setup
covering the wavelength range 3749-7500 AA (4240-7140 AA unvignetted) with a
spectral resolution of 6.0 AA (FWHM), for 646 galaxies, ii) a medium-resolution
V1200 setup covering the wavelength range 3650-4840 AA (3650-4620 AA
unvignetted) with a spectral resolution of 2.3 AA (FWHM), for 484 galaxies, and
iii) the combination of the cubes from both setups (called COMBO), with a
spectral resolution of 6.0 AA and a wavelength range between 3700-7500 AA
(3700-7140 AA unvignetted), for 446 galaxies. The Main Sample, selected and
observed according to the CALIFA survey strategy covers a redshift range
between 0.005 and 0.03, spans the color-magnitude diagram and probes a wide
range of stellar mass, ionization conditions, and morphological types. The
Extension Sample covers several types of galaxies that are rare in the overall
galaxy population and therefore not numerous or absent in the CALIFA Main
Sample. All the cubes in the data release were processed using the latest
pipeline, which includes improved versions of the calibration frames and an
even further improved im- age reconstruction quality. In total, the third data
release contains 1576 datacubes, including ~1.5 million independent spectra. It
is available at http://califa.caha.es/DR3.


title: Optimal scan strategies for future CMB satellite experiments

abstract:
  The B-mode polarisation power spectrum in the Cosmic Microwave Background
(CMB) is about four orders of magnitude fainter than the CMB temperature power
spectrum. Any instrumental imperfections that couple temperature fluctuations
to B-mode polarisation must therefore be carefully controlled and/or removed.
We investigate the role that a scan strategy can have in mitigating certain
common systematics by averaging systematic errors down with many crossing
angles. We present approximate analytic forms for the error on the recovered
B-mode power spectrum that would result from differential gain, differential
pointing and differential ellipticity for the case where two detector pairs are
used in a polarisation experiment. We use these analytic predictions to search
the parameter space of common satellite scan strategies in order to identify
those features of a scan strategy that have most impact in mitigating
systematic effects. As an example we go on to identify a scan strategy suitable
for the CMB satellite proposed for the ESA M5 call. considering the practical
considerations of fuel requirement, data rate and the relative orientation of
the telescope to the earth. Having chosen a scan strategy we then go on to
investigate the suitability of the scan strategy.


title: Stochastic homogenization of plasticity equations

abstract:
  In the context of infinitesimal strain plasticity with hardening, we derive a
stochastic homogenization result. We assume that the coefficients of the
equation are random functions: elasticity tensor, hardening parameter and
flow-rule function are given through a dynamical system on a probability space.
A parameter $\eps>0$ denotes the typical length scale of oscillations. We
derive effective equations that describe the behavior of solutions in the limit
$\eps\to 0$. The homogenization limit is based on the needle-problem approach:
We verify that the stochastic coefficients "allow averaging": In average, a
strain evolution $[0,T]\ni t\mapsto \xi(t) \in \symM$ induces a stress
evolution $[0,T]\ni t\mapsto \Sigma(\xi)(t) \in \symM$. With the abstract
result of [9] we obtain the stochastic homogenization limit.


title:
A method for locally approximating regularized iterative tomographic
  reconstruction methods

abstract:
  In many applications of tomography, the acquired projections are either
limited in number or contain a significant amount of noise. In these cases,
standard reconstruction methods tend to produce artifacts that can make further
analysis difficult. Advanced regularized iterative methods, such as total
variation minimization, are often able to achieve a higher reconstruction
quality by exploiting prior knowledge about the scanned object. In practice,
however, these methods often have prohibitively long computation times or large
memory requirements. Furthermore, since they are based on minimizing a global
objective function, regularized iterative methods need to reconstruct the
entire scanned object, even when one is only interested in a (small) region of
the reconstructed image.
  In this paper, we present a method to approximate regularized iterative
reconstruction methods inside a (small) region of the scanned object. The
method only performs computations inside the region of interest, ensuring low
computational requirements. Reconstruction results for different phantom images
and types of regularization are given, showing that reconstructions of the
proposed local method are almost identical to those of the global regularized
iterative methods that are approximated, even for relatively small regions of
interest. Furthermore, we show that larger regions can be reconstructed
efficiently by reconstructing several small regions in parallel and combining
them into a single reconstruction afterwards.


title:
A Short Counterexample to the Inverse Generator Problem on
  non-Hilbertian Reflexive $L^p$-spaces

abstract:
  We show that the bilateral shift group on $L^p(\mathbb{R})$ for $p \in (1,
\infty) \setminus \{2\}$ provides a counterexample to the inverse generator
problem.


title:
Ergodicity and uniform in time truncation bounds for inhomogeneous birth
  and death processes with additional transitions from and to origin

abstract:
  In this paper one presents the extension of the transient analysis of the
class of continuous-time birth and death processes defined on non-negative
integers with special transitions from and to the origin. From the origin
transitions can occur to any state. But being in any other state, besides
ordinary transitions to neighbouring states, a transition to the origin can
occur. All possible transition intensities are assumed to be non-random
functions of time and may depend on the state of the process. We improve
previously known ergodicity and truncation bounds for this class of processes
which were known only for the case when transitions from the origin decay
exponentially (other intensities must have unique uniform upper bound). We show
how the bounds can be obtained the decay rate is slower than exponential.
Numerical results are also provided.


title: Nonlinearly Perturbed Birth-Death-Type Models

abstract:
  Asymptotic expansions for stationary and conditional quasi-stationary
distributions of nonlinearly perturbed birth-death-type semi-Markov models are
presented. Applications to models of population growth, epidemic spread and
population genetics are discussed.


title: Discrete Breathers and Multi-Breathers in Finite Vibro-Impact Chain

abstract:
  We explore dynamics of discrete breathers and multi-breathers in finite
one-dimensional chain. The model involves parabolic on-site potential with
rigid constraints and linear nearest-neighbor coupling. The rigid non-ideal
impact constraints are the only source of nonlinearity and damping in the
model. The model allows derivation of exact analytic solutions for the
breathers and multi-breathers with arbitrary set of localization sites, both in
conservative and forced-damped settings. We choose periodic boundary
conditions; exact solutions for other types of the boundary conditions are also
possible. Local character of the nonlinearity allows explicit derivation of a
monodromy matrix for the breather solutions. Consequently, a stability of the
derived breather and multi-breather solutions can be efficiently studied in the
framework of simple methods of linear algebra, and with rather moderate
computational efforts. We demonstrate that finitness of the chain fragment and
proximity of the localization sites strongly effect existence and stability
patterns of these localized solutions.


title: Experimental realization of optomechanically induced non-reciprocity

abstract:
  Non-reciprocal devices, such as circulators and isolators, are indispensable
components in classical and quantum information processing in an integrated
photonic circuit. Aside from those applications, the non-reciprocal phase shift
is of fundamental interest for exploring exotic topological photonics, such as
the realization of chiral edge states and topological protection. However,
incorporating low optical-loss magnetic materials into a photonic chip is
technically challenging. In this study, we experimentally demonstrate
non-magnetic non-reciprocity using optomechanical interactions in a
whispering-gallery microresonator, as proposed by Hafezi and Rabl.
Optomechanically induced non-reciprocal transparency and amplification are
observed, and a non-reciprocal phase shift of up to 40 degrees is demonstrated
in this study. The results of this study represent an important step towards
integrated all-optical controllable isolators and circulators, as well as
non-reciprocal phase shifters.


title: Phononic heat transport in the transient regime: An analytic solution

abstract:
  We investigate the time-resolved quantum transport properties of phonons in
arbitrary harmonic systems connected to phonon baths at different temperatures.
We obtain a closed analytic expression of the time-dependent one-particle
reduced density matrix by explicitly solving the equations of motion for the
nonequilibrium Green's function. This is achieved through a well-controlled
approximation of the frequency-dependent bath self-energy. Our result allows
for exploring transient oscillations and relaxation times of local heat
currents, and correctly reduces to an earlier known result in the steady-state
limit. We apply the formalism to atomic chains, and benchmark the validity of
the approximation against full numerical solutions of the bosonic
Kadanoff--Baym equations for the Green's function. We find good agreement
between the analytic and numerical solutions for weak contacts and baths with a
wide energy dispersion. We further analyze relaxation times from low to high
temperature gradients.


title:
Study of HERA ep Data at Low Q^2 and Low x_Bj and the Need for
  Higher-Twist Corrections to Standard pQCD Fits

abstract:
  A detailed comparison of HERA data at low Bjorken-$x$ and low
four-momentum-transfer squared, $Q^2$, with predictions based on $\ln{Q^2}$
evolution (DGLAP) in perturbative Quantum Chromo Dynamics suggests inadequacies
of this framework. The standard DGLAP evolution was augmented by including an
additional higher-twist term in the description of the longitudinal structure
function, $F_{\rm L}$. This additional term, $F_{\rm L}~A_{\rm L}^{\rm
HT}/Q^2$, improves the description of the reduced cross sections significantly.
The resulting predictions for $F_{\rm L}$ suggest that further corrections are
required for $Q^2$ less than about 2 GeV$^2$.


title: Short Kloosterman sums to powerful modulus

abstract:
  We obtain the estimate of incomplete Kloosterman sum to powerful modulus $q$.
The length $N$ of the sum lies in the interval $e^{c(\log{q})^{2/3}}\le N\le
\sqrt{q}$.


title:
Titratable Macroions in Multivalent Electrolyte Solutions: Strong
  Coupling Dressed Ion Approach

abstract:
  We present a theoretical description of the effect of polyvalent ions on the
interaction between titratable macro-ions. The model system consists of two
point-like macro-ions with dissociable sites, immersed in an asymmetric ionic
mixture of monovalent and polyvalent salts. We formulate a {\em dressed ion
strong coupling theory}, based on the decomposition of the asymmetric ionic
mixture into a weakly electrostatically coupled monovalent salt, and into
polyvalent ions that are strongly electrostatically coupled to the titratable
macro-ions. The charge of the macroions is not considered as fixed, but is
allowed to respond to local bathing solution parameters (electrostatic
potential, $pH$ of the solution, salt concentration) through a simple {\em
charge regulation} model. The approach presented, yielding an effective
polyvalent-ion mediated interaction between charge-regulated macro-ions at
various solution conditions, describes the strong coupling equivalent of the
Kirkwood-Schumaker interaction.


title:
Non-parametric indices of dependence between components for
  inhomogeneous multivariate random measures and marked sets

abstract:
  We propose new summary statistics to quantify the association between the
components in coverage-reweighted moment stationary multivariate random sets
and measures. They are defined in terms of the coverage-reweighted cumulant
densities and extend classic functional statistics for stationary random closed
sets. We study the relations between these statistics and evaluate them
explicitly for a range of models. Unbiased estimators are given for all
statistics and applied to simulated examples.


title: Decidability of the Membership Problem for $2\times 2$ integer matrices

abstract:
  The main result of this paper is the decidability of the membership problem
for $2\times 2$ nonsingular integer matrices. Namely, we will construct the
first algorithm that for any nonsingular $2\times 2$ integer matrices
$M_1,\dots,M_n$ and $M$ decides whether $M$ belongs to the semigroup generated
by $\{M_1,\dots,M_n\}$.
  Our algorithm relies on a translation of the numerical problem on matrices
into combinatorial problems on words. It also makes use of some algebraical
properties of well-known subgroups of $\mathrm{GL}(2,\mathbb{Z})$ and various
new techniques and constructions that help to limit an infinite number of
possibilities by reducing them to the membership problem for regular languages.


title:
Eigenvalue Estimate for the basic Laplacian on manifolds with foliated
  boundary, part II

abstract:
  In [4], we gave a sharp lower bound for the first eigenvalue of the basic
Laplacian acting on basic $1$-forms defined on a compact manifold whose
boundary is endowed with a Riemannian flow. In this paper, we extend this
result to the case of the first eigenvalue on basic $p$-forms for $p>1$. As in
[4], the limiting case allows to characterize the manifold $\mathbb{R} \times
B' / \Gamma$ for some group $\Gamma$, and where $B'$ denotes the unit closed
ball. In particular, we describe the Riemannian product $\mathbb{S}^1\times
\mathbb{S}^n$ as the boundary of a manifold.


title:
Towards characterising polynomiality of $\frac{1-q^b}{1-q^a}{n\brack m}$
  and applications

abstract:
  In this note we shall give conditions which guarantee that
$\frac{1-q^b}{1-q^a}{n\brack m}\in\mathbb{Z}[q]$ holds. We shall provide a full
characterisation for $\frac{1-q^b}{1-q^a}{ka\brack m}\in\mathbb{Z}[q]$. This
unifies a variety of results already known in literature. We shall prove new
divisibility properties for the binomial coefficients and a new divisibility
result for a certain finite sum involving the roots of the unity.


title:
Tribochemistry of graphene on iron and its possible role in lubrication
  of steel

abstract:
  Recent tribological experiments revealed that graphene is able to lubricate
macroscale steel-on-steel sliding contacts very effectively both in dry and
humid conditions. This effect has been attributed to a mechanical action of
graphene related to its load-carrying capacity. Here we provide further insight
into the functionality of graphene as lubricant by analysing its tribochemical
action. By means of first principles calculations we show that graphene binds
strongly to native iron surfaces highly reducing their surface energy. Thanks
to a passivating effect, the metal surfaces coated by graphene become almost
inert and present very low adhesion and shear strength when mated in a sliding
contact. We generalize the result by establishing a connection between the
tribological and the electronic properties of interfaces, which is relevant to
understand the fundamental nature of frictional forces.


title: On limit theory for Levy semi-stationary processes

abstract:
  In this paper we present some limit theorems for power variation of L\'evy
semi-stationary processes in the setting of infill asymptotics. L\'evy
semi-stationary processes, which are a one-dimensional analogue of ambit
fields, are moving average type processes with a multiplicative random
component, which is usually referred to as volatility or intermittency. From
the mathematical point of view this work extends the asymptotic theory
investigated in [14], where the authors derived the limit theory for $k$th
order increments of stationary increments L\'evy driven moving averages. The
asymptotic results turn out to heavily depend on the interplay between the
given order of the increments, the considered power $p>0$, the
Blumenthal--Getoor index $\beta \in (0,2)$ of the driving pure jump L\'evy
process $L$ and the behaviour of the kernel function $g$ at $0$ determined by
the power $\alpha$. In this paper we will study the first order asymptotic
theory for L\'evy semi-stationary processes with a random
volatility/intermittency component and present some statistical applications of
the probabilistic results.


title:
Dynamics of a diffusive predator-prey model: the effect of conversion
  rate

abstract:
  A general diffusive predator-prey model is investigated in this paper. We
prove the global attractivity of constant equilibria when the conversion rate
is small, and the non-existence of non-constant positive steady states when the
conversion rate is large. The results are applied to several predator-prey
models and give some ranges of parameters where complex pattern formation
cannot occur.


title:
Inference in partially identified models with many moment inequalities
  using Lasso

abstract:
  This paper considers inference in a partially identified moment (in)equality
model with many moment inequalities. We propose a novel two-step inference
procedure that combines the methods proposed by Chernozhukov, Chetverikov and
Kato (2018a) (CCK18, hereafter) with a first step moment inequality selection
based on the Lasso. Our method controls asymptotic size uniformly, both in
underlying parameter and data distribution. Also, the power of our method
compares favorably with that of the corresponding two-step method in CCK18 for
large parts of the parameter space, both in theory and in simulations. Finally,
we show that our Lasso-based first step can be implemented by thresholding
standardized sample averages, and so it is straightforward to implement.