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2,121,713,844,641
arxiv
\subsubsection{\@startsection{subsubsection}{3} \newcommand{\bB}{\mathbb{B}} \newcommand{\conc}{^\frown} \newcommand{\acts}{\curvearrowright} \newcommand{\symd}{\triangle} \newcommand{\Stab}{\mathrm{Stab}} \newcommand{\Cay}{\mathrm{Cay}} \newcommand{\dom}{\mathrm{dom}} \newcommand{\E}{\mathrm{E}} \newcommand...
2,121,713,844,642
arxiv
\section{Introduction} \label{intro} Recently the E760 Collaboration at Fermilab \cite{e760} have reported the first possible observation of the $^1\!P_1$ bound state of charmonium (this resonance, which possibly needs further confirmation, has been indicated as $h_c(1P)$ in the last Review of Particle Properties \cit...
2,121,713,844,643
arxiv
\section{Introduction} Quantum computers (QCs) provide the means to solve certain problems that cannot be handled classically; yet they are extremely vulnerable to errors during the computation~\cite{Nielsen:2000:CambridgeUniversityPress}. The threshold theorem indicates that if errors are all local and their rates are...
2,121,713,844,644
arxiv
\section{Background} In \cite{Candes:IT:2006}, the authors reported a ``puzzling numerical experiment'' which obtained the perfect reconstruction of a phantom image at the sampling rate of 50 times smaller than the Nyquist rate\footnote{Strictly speaking, the term of Nyquist rate is only defined for analog signals (...
2,121,713,844,645
arxiv
\section{Introduction} Molecular dynamics is one of the most realistic simulation tools available to study the behavior of matter. Since its inception in the 1950s, with the high computing power of the new electronic devices, it has laid down new perspectives for the advancement of science \cite{Battimelli2020}. Nowada...
2,121,713,844,646
arxiv
\section{Introduction, Lemmas and Main Results.} We know that there are many evaluations (or proofs) for $\varsigma (2) = \frac{\pi ^2}{6}$ since the first evaluation belong to Euler, e.g. see \cite{chapman}-\cite{srivastava} and the related references therein. We also know that there are two recurrence formulas for ...
2,121,713,844,647
arxiv
\section{Introduction} Recent activity in the theory of fusion rings (a special kind of semiring) was inspired by the development of quantum field theory \cite{ver,ms,wit}, although this notion appeared before in different branches of mathematics, for example in the representation theory (semiring of irreducible re...
2,121,713,844,648
arxiv
\section{Background and Motivation} There are several strands of related research that try to alleviate the effect of unseen words in translation. Previous research suggests that a significantly large number of named entities can be handled by using simple pre/post-processing, like transliteration methods~\cite{hermj...
2,121,713,844,649
arxiv
\section{Introduction} 2D human pose estimation~(HPE) aims to localize body joints from a single image. Prevalent methods always adopt the encoder-decoder pipeline to estimate the keypoints location. Most methods adopt deep convolutional neural network~(CNN) as feature encoder owing to its great performance. In terms o...
2,121,713,844,650
arxiv
\section{Introduction} After receiving paper reviews, authors may optionally submit a rebuttal to address the reviewers' comments, which will be limited to a {\bf one page} PDF file. Please follow the steps and style guidelines outlined below for submitting your author response. Note that the author rebuttal is opti...
2,121,713,844,651
arxiv
\section{Introduction}\label{sec:intro} The emergence of cheap, low-power cameras and embedded platforms have boosted the use of smart systems with \ac{CV} capabilities in a broad spectrum of markets, ranging from consumer electronics, such as mobile, to real-time automotive applications and industrial automation, \mb...
2,121,713,844,652
arxiv
\section{Introduction} In the last two years, since the first proposals by J. Maldacena \cite{maldapasto} and Witten \cite{witten}, the studies on the $AdS/CFT$ correspondence between superconformal field theories on the boundary $\partial AdS_{p+2}$ of $p+2$--dimensional anti de Sitter space and bulk supergravity...
2,121,713,844,653
arxiv
\section{Introduction} \label{sec1} The phenomenon of Bose--Einstein condensation (BEC) was described first by Einstein \cite{eins}. Until recently the best experi\-mental evidence that BEC could occur in a real physical system was the phenomenon of superfluidity in liquid helium as suggested originally by London who...
2,121,713,844,654
arxiv
\section{Introduction}\label{s:intro} Let $G$ be a finite group and let $A$ be a subset of $G$. The \emph{subgroup generated by $A$ in $G$} is $$ \<A\> := \bigcap\,\{H \leq G \colon A \subseteq H\}, $$ the intersection of all subgroups containing $A$. This is the smallest subgroup of $G$ lying above $A$. If $\<A\> = G...
2,121,713,844,655
arxiv
\section{Introduction} The classical Coulomb gas is an important model in statistical mechanics. It is exactly solvable in one dimension. In two dimensions it exhibits the Berezinsky-Kosterlitz-Thouless phase transition which is the prototype of all phase transitions in two-dimensional systems which have $U(1)$ symme...
2,121,713,844,656
arxiv
\section{introduction} Given a knot $K \subset S^3$, we consider the problem of classifying locally flat discs~$D \subset D^4$ with boundary~$K$, up to topological ambient isotopy rel.\ boundary. Naturally,~$K$ need not bound such a disc (i.e.~$K$ need not be \emph{slice}) but if it does, then it is conjectured that ...
2,121,713,844,657
arxiv
\section{INTRODUCTION} The nucleon spin structure can be described at leading twist by three parton distribution functions~\cite{JaJi91}: the unpolarized distribution $q(x)$, the helicity distribution $\Delta q(x)$ and the transversity distribution $\Delta_T q(x)$, describing the probability in a transversely pol...
2,121,713,844,658
arxiv
\section{Introduction} Hawking and Hunter argued in~\cite{Hawking:1998jf} that the existence of gravitational entropy is associated to a topological obstruction to foliation of the Euclidean section of the space, which results in an obstruction for the existence of a unitary Hamiltonian evolution. They were able to ...
2,121,713,844,659
arxiv
\section{Introduction} Flat Minkowski planes are generalization of the geometry of nontrivial plane sections of the standard nondegenerated ruled quadric in the real 3-dimensional projective space $\mathbb{P}_3(\mathbb{R})$. A flat Minkowski plane $\mathcal{M}$ can be classified based on the dimension $n$ of its auto...
2,121,713,844,660
arxiv
\section{Introduction} The BFKL approach~\cite{BFKL} for the theoretical description of high-energy processes is well developed now in the next-to-leading approximation (NLA). In particular, the kernel of the BFKL equation is known in the next-to-leading order (NLO) not only for the forward scattering~\cite{FL98}, i....
2,121,713,844,661
arxiv
\section{Introduction} The $\Lambda$ cold dark matter ($\Lambda$CDM) model is well known to give very accurate predictions of the observations on cosmological scales, and intermediate scales \citep{2011ApJS..192...18K,Spergel,Kowalski,Percival}. To be precise, at cosmological scales the model suffers from the cosm...
2,121,713,844,662
arxiv
\section{Introduction} \label{sec:intro} The advent of the \textit{James Webb Space Telescope} (JWST) has initiated a new era in high-redshift galaxy observations. Due to its unprecedented near-infrared (NIR) sensitivity, the JWST spectacularly expanded the frontier of observability beyond the $z\gtrsim10$ limit of the...
2,121,713,844,663
arxiv
\section{Introduction} Anomalous sub-diffusion process, commonly described by the continuous time random walks (CTRWs), and also known as non-Brownian sub-diffusion, arises in numerous physical,chemical and biological systems; see \cite{BronsteinIK2009,Cabal2006-nature-anomulas-diffusion,CometeDT2005,KleinhansF2007}....
2,121,713,844,664
arxiv
\section{Introduction} The Higgs oscillator \cite{HiggsPaper} (see also Pallares-Rivera--Kirchbach \cite{Higgs}) is considered as an analogue of the quantum harmonic oscillator on the hyperbolic plane. In this paper we discussed its complex version, in analogy to the complex harmonic oscillator in the Euclidean space ...
2,121,713,844,665
arxiv
\section{Introduction} This paper contains some of our earlier works prior to \cite{zhong2022process}. Our objective is to create an intrusion detection system using process mining (PM) and process models. The models can then be utilised for analytics \cite{van2004process, van2011process}. Network intrusion detecti...
2,121,713,844,666
arxiv
\section{Introduction} \subsection{Labelled Markov Processes} Markov processes are one of the most popular types of stochastic processes in the fields of mathematics, physics, biology, economics, and computer science. Markov processes have a common property, called \emph{Markov property:} Given exact information on the...
2,121,713,844,667
arxiv
\section{Introduction} \label{s1} According to textbook Statistical Physics, all properties of a macroscopic system at thermal equilibrium are perfectly described by the canonical ensemble when weakly coupled to a thermal bath and by the microcanonical ensemble when isolated from the rest of the world. However, th...
2,121,713,844,668
arxiv
\section{Introduction} \label{sec:intro} Spectroscopic observations of distant galaxies ($z>6$) allow us to constrain early galaxy formation and the epoch of reionization. In particular, the $\lambda$1215.7\AA\ Lyman-$\alpha$ line is both the strongest recombination line of hydrogen intrinsically and resonantly scatte...
2,121,713,844,669
arxiv
\section*{Acknowledgment} \section{INTRODUCTION} \label{sec:introduction} With the rapid growth of the internet, e-commerce is becoming an important part of life. According to a recent study~\cite{survey1}, more than half of Americans prefered to shop online in 2017. To improve customer experience, most shopping sit...
2,121,713,844,670
arxiv
\section{Introduction} Galerkin approximation is an important methodology to obtain surrogate models for high fidelity systems. It relies on the fact that, in many applications, the state of the system is well approximated in a lower-dimensional subspace. In other words, for $x(t) \in \mathbb{R}^n$ with $n \gg 1$, ...
2,121,713,844,671
arxiv
\section{Introduction} Multiferroics are materials that exhibit the strong coupling and coexistence of ferroelectric (FE) and magnetic orders and, therefore, could bear the potential to have a large magnetoelectric (ME) effect. The ME effect allows for the control of electric polarization (magnetization) by magnetic (e...
2,121,713,844,672
arxiv
\section{Introduction} We address a \textit{representation learning} problem as follows. Let $\mathbf{x}$ be the input (observed) variable. In our problem of interest, we consider the target of the representation learning as learning an encoding function $f(\cdot)$, where the input variable $\mathbf{x}$ is encoded to ...
2,121,713,844,673
arxiv
\section{ Introduction} In the high energy density regime of the phase diagram of matter, hadrons are not expected to remain as confined bound states due to deconfinement and chiral symmetry restoration. In particular at low temperatures, several configurations of diquarks (condensates) are expected to appear in d...
2,121,713,844,674
arxiv
\section*{\centerline{APPENDIX}} \subsubsection*{A-I $\mathcal{I}_{non-scale}^\ast$: A short version of $\mathcal{I}^\ast$ without scale-invariance property} \label{A-I} $\mathcal{I}^\ast$ aims at minimally parameterizing the information contained in an MCM so that the posed inter-contextual query can be stated as an L...
2,121,713,844,675
arxiv
\section{Introduction} According to the recent cosmic observations our universe is experiencing an accelerating phase of expansion at the present time \cite{ref1}-\cite{ref5}. Since the ordinary barionic matter (energy) can only produces an attractive force, there should necessarily an exotic form of energy with negat...
2,121,713,844,676
arxiv
\section{Introduction} The study of memristors has become recently an area of interest \cite{indiveri,Avizienis,Stieg12} for a variety of reasons. This is not only due to the fact that memristors are considered by many the fourth circuit element, but also due to their potential applications and their interesting dynam...
2,121,713,844,677
arxiv
\section{Introduction} At the time of writing, some 200 -- 250 X-ray binaries, systems in which a neutron star or black hole is accreting material from a companion star, are known. Approximately 20\% of these sources have been detected at radio wavelengths, and in several cases high resolution radio observations have ...
2,121,713,844,678
arxiv
\section{Introduction} \label{sec:intro} Quantum gravity constraints on effective field theories have recently came under renewed scrutiny, and several proposals have emerged under the umbrella of the Swampland Programme \cite{Vafa:2005ui,Ooguri:2006in}, see \cite{Brennan:2017rbf,Palti:2019pca} for reviews. Among them...
2,121,713,844,679
arxiv
\section{Introduction} In the classical framework, let $X$ and $Y$ be two independent random vectors and $f$ be a function defined on an interval of $\mathbb{R}$. Nguyen and Sampson (\cite{Ng}) obtained that the distribution of $X$ and $Y$ can be characterized according to the form of $f$ such that the distribution of...
2,121,713,844,680
arxiv
\section{Introduction} In this paper, we consider quantum systems for which energy and matter can become trapped within a localized system for a period of time before eventually escaping. An interesting theoretical example of this type is the problem of Hawking radiation \cite{hawking}. Consider a black hole in otherw...
2,121,713,844,681
arxiv
\section{Introduction} The theory of multilinear operators has been an active area of research for the past two decades in harmonic analysis. It finds its roots in the pioneer work by Coifman and Meyer \cite{CM}, although it was the remarkable proof of the boundedness of the bilinear Hilbert transform by Lacey and Thie...
2,121,713,844,682
arxiv
\section{Introduction} There has been a lot of recent interest in the so-called implicit bias of DNNs, which describes what functions are favored by a network when fitting the training data. Different network architectures (choice of nonlinearity, depth, width of the network, and more) and training procedures (initial...
2,121,713,844,683
arxiv
\section{Introduction} The next generation of cellular technologies will proliferate in wirelessly connecting sensors, machines, and wearable biomedical devices, thereby form the architecture of the Internet of things (IoT). Massive machine-type communications (mMTC) is a representative IoT application scenario where ...
2,121,713,844,684
arxiv
\section{Introduction} Notably, there are numerous archived fine spatial resolution remotely sensed images accessible the worldwide. These archived fine spatial resolution datasets may provide a valuable prior land cover pattern, resulting in the spatio-temporal mapping. Since many HR images can be generated within one...
2,121,713,844,685
arxiv
\section{Introduction} In quantum spin chains, a value of the anisotropy of the $XXZ$ type interaction is an important factor regarding to what kind of the ground state is realized. In a case of an $S=1/2$ $XXZ$ chain, for instance, the Ising-like anisotropy brings about the N\'{e}el or ferromagnetic ground state...
2,121,713,844,686
arxiv
\section{Introduction \& outline}\label{sec:Introduction} \subsection{Historical overview}\label{sec:IntroHistory} More than a hundred years ago, the representation theory of compact, semi-simple Lie groups, in particular also of $\mathsf{SU}(N)$, were a hot topic of research. Most known to physicists is the work don...
2,121,713,844,687
arxiv
\section{Introduction} Several recent studies have introduced acoustic word embeddings (AWEs). AWEs are vector representations of individual word tokens based on their acoustic features \citep[][etc.]{levin2013, chung2016, holzenberger2018, kamper2019} rather than on their relation to other words, as in semantic (tex...
2,121,713,844,688
arxiv
\section{Introduction} Decoherence is a process of losing quantum superpositions due to entanglement between the system and its environment \cite{Zurek}. Studies of the decoherence are pivotal to understanding the emergence of the classical world from an underlying quantum substrate \cite{Zurek,Joos}. This is because i...
2,121,713,844,689
arxiv
\section{Introduction} The unique Galactic microquasar SS433 is a high-mass eclipsing X-ray binary with an orbital period of $P_b\simeq 13^\mathrm{d}.08$ at an advanced evolutionary stage with a precessing ($P_\mathrm{prec}\simeq 162^\mathrm{d}.3$) supercritical optically bright accretion disc and relativistic jets ($...
2,121,713,844,690
arxiv
\subsection{Data Acquisition} For training, we have scanned $64${} subjects ($46$ male, $18$ female; $22$ Caucasian, $9$ Asian, $25$ Indian Sub-continent, $3$ Hispanic, $3$ Middle Eastern, $2$ undisclosed; with an age ranging from $19$ to $69$ with average $26$). For each subject we have recorded 10 facial expressio...
2,121,713,844,691
arxiv
\section{Introduction} Most research in the field of reinforcement learning (RL) focuses on \textit{tabula rasa} learning, that is, learning behaviors in environments whose properties, dynamics, and reward landscapes are initially unknown, requiring agents to learn completely from scratch. For many real-work tasks, thi...
2,121,713,844,692
arxiv
\section{Preface} A cellular automaton (CA) is a discrete dynamical system which consists of an array of a number of cells. Each cell allows for finitely many states which change into new states in discrete time. Usually the rule of time evolution with which the system is equipped is quite simple, and CA are often in...
2,121,713,844,693
arxiv
\section{Introduction} The accumulation of large-scale Electronic Health Records (EHRs) provides us with great opportunity of deep learning applications on healthcare. Recently, many deep learning models have been applied to medical tasks such as phenotyping \cite{DBLP:conf/ijcai/FuHXS19,bai2018ehr}, medical predictiv...
2,121,713,844,694
arxiv
\section{Introduction} Technological advances of the past decade have made it possible to construct clean electronic devices of a linear size smaller than their elastic mean free path, but still much larger than the Fermi wavelength \cite{Revdot1,Revdot2,Revdot3}. The motion of the electrons in these {\it quantum dots}...
2,121,713,844,695
arxiv
\section{Refining the Components} \label{sec:refinement} Having toured the components of a semantic parsing system, we now return to each component and discuss the key design decisions and possibilities for improvement. \subsection{Executor} By describing an executor, we are really describing the language of the lo...
2,121,713,844,696
arxiv
\section{Introduction} Superconducting junctions with topologically non-trivial barriers are predicted to host Majorana bound states \cite{Fu2008, Tanaka2009}. Non-trivial states include the edge or surface of the recently discovered topological insulators \cite{Zhang2006, Fu2007, Zhang2009N, Qi2009, Hsieh2008, Chen20...
2,121,713,844,697
arxiv
\section{Introduction} Entropy is the most fundamental concept in Information Theory. First introduced in this context by Shannon \cite{Shannon1948}, as a measure of the uncertainty associated with a probability distribution, it has been generalized in many ways. The commonly used generalization of Shannon Entropy is R...
2,121,713,844,698
arxiv
\section{Introduction} Over more than last three decades, there has been tremendous progress in the technology of cooling and trapping of single-electron alkali atomic gases and some two-electron atomic gases. In parallel, the developments in the technology of trapping and cooling of some ions, specially alk...
2,121,713,844,699
arxiv
\section{Introduction\label{sec:introduction}} B-Lymphocytes express on their surface Y-shaped receptors, called antibodies, with highly specific binding sites. All antibodies of a given B-cell are of the same type, the idiotype. If the antibodies are cross-linked by complementary structures, situated e.g. on an anti...
2,121,713,844,700
arxiv
\section{Some bounds} The determinant of the metric is the key ingredient to volume computations. In this section, a lower bound of this determinant is computed, which is also its asymptotic value. \begin{proposition} \label{prop:detg_integral} The determinant of the information metric matrix admits the following integ...
2,121,713,844,701
arxiv
\section{Introduction} \IEEEPARstart{H}{umans} have an innate ability for performing complex grasping maneuvers. Often times, these maneuvers are performed unconsciously, where object dynamics are unknown or continuously changing through time. This ability also manifests where objects themselves may be either similar ...
2,121,713,844,702
arxiv
\section{INTRODUCTION} \label{sec:intro} Kidney cancer is among the 6th most common cancers in men and 8th in women, and the 5-year survival rate is 75\%\cite{acs, cdac}. However, there is wide variability in the prognosis among different renal cancers. Most kidney cancers (70\%) are first diagnosed as an incident...
2,121,713,844,703
arxiv
\section{} As well as the evidence for the LHB on the Moon\citep{mbtera74}, there is evidence that the rest of the Solar System also went through a period of increased bombardment including the Earth \citep{mbkring02, mbjorgensen09}. Impacts on the Earth from comets and asteroids may have caused mass extinctions like...
2,121,713,844,704
arxiv
\section{Introduction}\label{Sec:Intro} Since the first theoretical predictions of the quantum spin Hall (QSH) effect in graphene\cite{Kane2005:PRL,Kane2005:PRL2} and in inverted HgTe/CdTe quantum-well (QW) structures,\cite{Bernevig2006:Science} topological insulators and topological superconductors have evolved into ...
2,121,713,844,705
arxiv
\section{Introduction} The Markov Chain Monte Carlo methods, are a set of algorithms used for optimization, integral approximation, dynamic simulation, efficient counting, and sampling. This methods are widely used in problems applied to physics, Chemistry, statistics, probability, combinatorial, optimization, numer...
2,121,713,844,706
arxiv
\section{Introduction} \label{sec:intro} \begin{figure}[h] \centering \includegraphics[width=1\columnwidth]{./train_eg.pdf} \caption{Training instance example. The known camera motion between stereo cameras $T_{L \rightarrow R}$ constrains the Depth CNN and Odometry CNN to predict depth and relative camera po...
2,121,713,844,707
arxiv
\subsection*{Acknowledgement} \input{high-school-ack} \bibliographystyle{unsrt} \section{Conclusion} \label{sec:conclusion} In this paper, we employ the exponential polynomial aspect of formulas to study the structure of proofs and formula equivalence, allowing a ``fresh'' perspective on intuitionistic proof theor...
2,121,713,844,708
arxiv
\section{Overview} In 2015 and early 2016 over 6,000 suspected cases of microcephaly and other neurodevelomental disorders have been reported in Brazil, primarily in the northeast, a dramatic increase over expected numbers \cite{MdS2016_2}. The cause of these developmental disorders has been widely attributed to a Zik...
2,121,713,844,709
arxiv
\section{Introduction}\label{sect-intro} \setcounter{equation}{0} Much of the recent progress towards understanding the dynamics of QCD at high energies comes from the observation \cite{IMM04,IT04} that the QCD evolution (at least, in its `leading--logarithmic approximation' with respect to the energy logarithm $\ln ...
2,121,713,844,710
arxiv
\section{Introduction} \label{secIntroduction} In recent years, neural networks have become empirically successful in a wide range of supervised learning applications, such as computer vision \cite{krizhevsky2012imagenet,Szegedy_2015_CVPR}, speech recognition \cite{hinton2012deep}, natural language processing \cite{sut...
2,121,713,844,711
arxiv
\section{Introduction} A cold atomic system is an ideal platform for quantum simulations of various few- and many-body problems~\cite{BlochRMP,GiorginiRMP}. In particular, the Feshbach resonance enables us to control the $s$-wave scattering length $a$ characterizing the interaction strength between atoms~\cite{ChinRM...
2,121,713,844,712
arxiv
\section*{Introduction} The notion of \textit{geometric entity} changes over time and with the kind of problems we want to tackle. On a macroscopic/historical level, this unspoken debate can be seen as the evolution of what mathematicians intend for the concept of \textit{space}. In the realm of very general and abstra...
2,121,713,844,713
arxiv
\section{Introduction} There are two main approaches to optimization problems, dynamic programming with HJB-type equations or using BSDEs (backward stochastic differential equations). However, for dynamic programming the state equation must be Markovian, while any BSDE-approach requires the existence of the actual BSD...
2,121,713,844,714
arxiv
\section{Introduction} \label{sec:introduction} \IEEEPARstart{M}eniscus medical image segmentation \cite{seg1,seg2,seg3,seg4,seg5,seg6,seg7} is an important part of human knee joint health analysis, and it has important guiding significance for subsequent diagnostic analysis \cite{clc1,clc2,clc3}. With the development ...
2,121,713,844,715
arxiv
\section{Introduction}\label{Introduction} During the last three decades, the development of Radioactive-Ion Beams (RIB) has favored the discovery of exotic nuclei away from stability. Among these, halo nuclei exhibit the most peculiar structure~\cite{T96}. Due to their low-binding energy, one or two of their nucleon...
2,121,713,844,716
arxiv
\section{Introduction} A major impetus for current heavy ion research is the prospect of obtaining profound insights on the rich phase structure of strongly interacting matter at high temperature and non-zero net baryon number density. Ongoing programs at RHIC \cite{RHIC}, the SPS \cite{SPS} and the LHC \cite{ALICE}, ...
2,121,713,844,717
arxiv
\section{Introduction} The purpose of this paper is to expand the range of $\ell^p$-improving estimates and sparse bounds for discrete spherical maximal means in every dimension $d \geq 6$ beyond those shown in earlier work of the author \cite{Kesler5}. The new method of proof has been streamlined by invoking the con...
2,121,713,844,718
arxiv
\section*{Abstract (Not appropriate in this style!)}% \else \small \begin{center}{\bf Abstract\vspace{-.5em}\vspace{\z@}}\end{center}% \quotation \fi }% }{% }% \@ifundefined{endabstract}{\def\endabstract {\if@twocolumn\else\endquotation\fi}}{}% \@ifundefined{maketitle}{\def\maketitle#1{}}{}% \@ifun...
2,121,713,844,719
arxiv
\section{Introduction} Linear polarisation of sunlight scattered by asteroid surfaces is routinely measured and shows changes with the phase angle (the Sun--Target--Observer angle). While it is well known that the intensity of scattered sunlight varies with viewing geometry and object shape, only in a few cases a per...
2,121,713,844,720
arxiv
\section{Introduction} In this paper we study a stochastic representation problem, first considered in a simpler framework by \cite{BK04}. Specifically, we consider a Meyer-$\sigma$-field $\Lambda$ such as the predictable or optional $\sigma$-field and, under weak regularity assumptions, construct a ...
2,121,713,844,721
arxiv
\section{Introduction} Invariant manifolds provide geometric structures that describe dynamical behavior of nonlinear systems. Dynamical reductions to attracting invariant manifolds or dynamical restrictions to other (not necessarily attracting) invariant manifolds are often sought to gain understan...
2,121,713,844,722
arxiv
\section{Introduction} A book cover makes an initial impression on potential readers. It serves as a salesman to its audience. The cover must be recognized as a valuable instrument, not just for its original role of protecting and binding the pages of a book but also for its capability to attract readers. An appealing ...
2,121,713,844,723
arxiv
\section{\bf Introduction} \setcounter{equation}{0} In the last decades many functional inequalities and monotonicity properties for special functions (like Bessel, modified Bessel, Gaussian hypergeometric, Kummer hypergeometric) and their combinations have been established by researchers, motivated by several prob...
2,121,713,844,724
arxiv
\section{Introduction} Given a closed oriented surface $S$ of genus $g\geq 2$ and a split real simple Lie group $G$, the Hitchin component is a connected component of the representation variety $\mathrm{Hom}(\pi_1(S), G)/G$. This was introduced by Hitchin in \cite{Hitchin}, who proved that it is homeomorphic to a vect...
2,121,713,844,725
arxiv
\section{Introduction} Image aesthetic assessment aims to judge aesthetic quality automatically in a qualitative or quantitative way, which can be widely used in many down-stream applications such as assisted photo editing, web-scale image retrieval, and intelligent photo album management~\cite{Bhattacharya2011AHA,Che...
2,121,713,844,726
arxiv
\section{Introduction}\label{sec:intro} Creating novel interpretations of existing musical compositions is and has always been an essential part of musical practice. Before the advent of recorded music, listening to a piece of music mostly meant listening to a version of it, in many cases, performed by musicians other ...
2,121,713,844,727
arxiv
\section{Introduction} Aphasia is an acquired language disorder that manifests itself in speech~\cite{danly1982speech,ash2010speech}. In the U.S., approximately two million people are living with aphasia and more than 180,000 acquire it every year due to brain injury, most commonly from a stroke \cite{AphasiaAssoc}. A...
2,121,713,844,728
arxiv
\section{Introduction} White dwarfs are commonly used as spectrophotometric standards since the majority of them do not show any significant variations. The first pulsating white dwarf was in fact discovered by \citet{landolt68} as part of his survey for new standard stars. Since then $>200$ other DAV, DBV, and PG 115...
2,121,713,844,729
arxiv
\section{Introduction} Time evolution of non-equilibrium systems is an important subject in physics such as thermalization processes of quantum many body systems and black hole formation (see reviews \cite{Gogolin:2016hwy, Page:2004xp}). One well-studied protocol to describe the {time} evolution process of non-equilib...
2,121,713,844,730
arxiv
\section{Introduction} \glsresetall Some dictionaries like Wiktionary offer both to listen to words spoken by real users and to read pronunciations in the form of the \gls{ipa}. However, in the case of the French Wiktionary, the \gls{ipa} transcripts are subject to a small percentage of errors. Several reasons can...
2,121,713,844,731
arxiv
\section{Introduction} Magnetization measurements offer a way to directly probe the equilibrium ground state properties of 2DEGs in the quantum Hall regime. Such information is not directly accessible in magnetotransport or optical spectroscopy, in which non-equilibrium behavior of the system is measured. Many years ...
2,121,713,844,732
arxiv
\section{\label{sec:introduction}Introduction} One of the great challenges of modern science is to develop tools to manipulate the quantum states of a physical system. Precise quantum state control heavily relies on the accurate knowledge of the coupling strength between the system and the external driving sources. Arg...
2,121,713,844,733
arxiv
\section{Introduction} \vspace{0.8cm} \subsection{Contact Non-Squeezability}\mbox{} \\ Since the time Gromov established the celebrated symplectic non-squeezing theorem, there have been attempts to find its analogue in contact topology. The problem is, as pointed out in \cite{EKP} and \cite{Sa}, that the size of an ...
2,121,713,844,734
arxiv
\section{Introduction} For topological insulator with the spin-momentum locking, the low-energy effective model near the critical point of the phase-transition (from band insulator to semimetal) exhibits rich physical properties. It's also found that the ferromagnetic phase transition occur in 2D system which ...
2,121,713,844,735
arxiv
\section{Introduction} \renewcommand{\theequation}{1.\arabic{equation}} \setcounter{equation}{0} Tests of gravity have been widely concerned since Einstein first formulated general relativity (GR) \cite{Clifton:2011jh,Sotiriou:2008rp,Nojiri:2017ncd,Capozziello:2011et}. At present, the results of almost all gravity tes...
2,121,713,844,736
arxiv
\section{Introduction} Many samples of UV Ceti type stars posses the stellar spot activity known as BY Dra Syndrome. The BY Dra Syndrome among the UV Ceti stars was first found by \citet{Kro52}. He reported the existence of sinusoidal-like variations at out-of-eclipses of the eclipsing binary star YY Gem. \citet{Kro52...
2,121,713,844,737
arxiv
\section{Introduction} Development of higher-order convective terms approximation scheme is an important problem of present-day science. Navier-Stokes (NS) equations are one of the dominant equations used in Computational Fluid Dynamic (CFD) to model fluid flows. NS system of equations describes unsteady, viscous, inc...
2,121,713,844,738
arxiv
\section{Introduction} \label{sec:intro} The study of strongly correlated electron systems in low dimensions is a very active field of research. One of the great challenges is to understand the competition between antiferromagnetism and superconductivity found in cuprate and organic superconductors. Kino and Fukuyama\...
2,121,713,844,739
arxiv
\section{INTRODUCTION} Spin-orbitronics\cite{Kuschel2014,Manchon2014}, aiming at current or voltage control of magnetization (\textbf{M}) via spin-orbit coupling (SOC) effect, has gradually manifested itself charming prospect in nonvolatile magnetic storage and programmable spin-logic applications. Spin Hall effect (SH...
2,121,713,844,740
arxiv
\section{Introduction} In the present paper we offer a contribution to the general problem of understanding the interaction between energy and dissipation terms in variational approaches to gradient-flow type evolutions from the standpoint of minimizing movements (see also e.g.~\cite{donfremie,fle,flesav} for related w...