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1,108,101,566,215
arxiv
\section*{Abstract} {\bf In the DeeMe experiment, approximately $70\ \mathrm{GHz/mm^{2}}$ prompt-charged particles will hit the multi-wire proportional chambers (MWPCs) between signal read-out periods. To avoid the space charge effect, we developed fast HV-switching MWPCs in order to control the gas gain dynamically. F...
1,108,101,566,216
arxiv
\section{Introduction} Many colloidal dispersions, such as natural clays, and macromolecular systems consist of oblate or disk-shaped mesogens whose intrinsic ability to form liquid crystalline order gives rise to unique rheological and optical properties. Despite their abundance in nature, the statistical mechanics ...
1,108,101,566,217
arxiv
\section{Introduction and description of the main results} The object of study in the present paper is a class of entire solutions of the system \beq\label{Euler-Lagrange equation} \Delta u-W_u(u)=0,\quad u:\BR^n\ri\BR^m, \eeq $n,m\in\mathbb{N}^+$, where $W:\BR^m\ri\BR$ is a phase transition potential that is no...
1,108,101,566,218
arxiv
\section{Introduction} Sampling from a Nash equilibrium is a well-know method for proving existence of a simple approximate Nash equilibrium. By the sampling method, the (possibly complicated) mixed strategy $x_i$ of player $i$ is replaced by $k$ i.i.d. samples of pure strategies from the distribution $x_i$. These $k$...
1,108,101,566,219
arxiv
\section{\hspace{-2.5ex}. Introduction} \label{sec:introduction} \setcounter{equation}{0} In the semiclassical theory of gravity, the gravitational field is treated classically, but the matter fields are quantum. The key equation of the theory is the semiclassical Einstein equation, a generalization of the Einstein ...
1,108,101,566,220
arxiv
\section{Introduction} \PARstart{O}{ver} the last decade, the growing population in urban areas, without a corresponding increase in road capacity, has led to traffic congestion, increased delays, and environmental concerns \cite{Schrank2019}. Integrating communication technologies along with computational capabilitie...
1,108,101,566,221
arxiv
1,108,101,566,222
arxiv
\section{Introduction} \label{introduction} Software repositories contain a wealth of valuable information (e.g., source code, bug reports) related to software development. This information can assist software engineers (e.g., architects and developers) to comprehend various aspects of a software system. Architectura...
1,108,101,566,223
arxiv
\section{Introduction} Optical frequency combs \cite{diddams2020optical} have revolutionized in the fields of metrology, including optical atomic clocks \cite{oelker2019demonstration, nemitz2016frequency, stern2020direct} , distance measurement \cite{minoshima2000high, ye2004absolute,coddington2009rapid, na2020ultrafas...
1,108,101,566,224
arxiv
\section{Introduction} \label{sec:intro} \IEEEPARstart{I}{n} cognitive radios, detecting white spaces, and determining channel occupancy in a dynamic radio environment is essential for opportunistic access to radio resources. The simplest and widely used method of assessing the availability of the radio resources is e...
1,108,101,566,225
arxiv
\section{Introduction} In this paper we establish local Lipschitz continuity of harmonic maps from non smooth metric measure spaces with synthetic Ricci curvature lower bounds in the sense of the $\RCD$ theory with values into ${\sf CAT}(0)$ metric spaces with non-positive sectional curvature. This answers to a questio...
1,108,101,566,226
arxiv
\section{Introduction} The Totally Asymmetric Simple Exclusion Process (TASEP) is a stochastic process involving a concentration of hard-core particles which perform random, totally directed walks on a regular one-dimensional lattice subject to the constraint that each lattice site may sustain at most one particle. Mo...
1,108,101,566,227
arxiv
\section{Introduction\label{sec:intro}} Gluons are ubiquitous at the LHC, and gluon fusion is among the phenomenologically most interesting production mechanisms. Specifically, the production of final states including one or more Higgs bosons is typically dominated by gluon fusion, with a virtual top-quark loop mediat...
1,108,101,566,228
arxiv
\section{Introduction} \label{sec:intro} \par\noindent The nature of non--equilibrium phenomena is diverse and rich, and a theory encompassing them is still in the making \cite{Kubo91,EvMo,Gall14,Bertini15}. Such a task requires, in particular, understanding the coupling with external agents or reservoirs that may l...
1,108,101,566,229
arxiv
\section{Introduction} \label{intro} The seminal work of \cite{P1958} has set the foundations for the study of the solar wind and provided an analytical solution to the problem of a spherically symmetric, isothermal, pressure--driven wind. The wind starts as a subsonic flow from the surface of the Sun, gets accelerat...
1,108,101,566,230
arxiv
\section{Introduction} \label{Intro} Count data are classically observed in many applied fields such as in actuarial science when evaluating risk and the pricing of insurance contracts \citep[e.g.,][]{Claims}, in genetics to model the number of genes involved in phenotype variability \citep[e.g.,][]{Genes} or in ecolog...
1,108,101,566,231
arxiv
\section{Introduction} \label{s:intro} The identification of models with guaranteed simulation accuracy is of great importance in all applications where long range predictions and the related error bounds are used for a robust decision-making task. Examples include resource planning, operations scheduling, and predicti...
1,108,101,566,232
arxiv
\section{Code} The whole code (image registration, experiments to test density estimators, enforcing similarity...) is available on the following github repository: \url{https://github.com/Lydorn/netsimilarity} . \section{Proofs of the properties of the 1D similarity kernel} We give here the proofs at the properti...
1,108,101,566,233
arxiv
\section{Introduction} When we want to study $Q \bar{Q}$ interaction we should consider the effect of the medium in motion of $Q \bar{Q}$ , because this pair is not produced at rest in QGP. So, the velocity of the pair through the plasma has some effects on its interactions that should be taken into account. The inte...
1,108,101,566,234
arxiv
\section{Introduction} The evolution of a radiating star undergoing gravitational collapse, in the context of general relativity, has occupied the attention of researchers in astrophysics in recent times. The derivation of the junction conditions by Santos \cite{santos} has made it possible to obtain exact models of an...
1,108,101,566,235
arxiv
\subsubsection*{$^\ast$ Corresponding author} Ellen Baake, University of Bielefeld, Faculty of Technology, Universit\"{a}tsstra{\ss}e 25, 33615 Bielefeld, Germany, +49-521-106-4896, ebaake@techfak.uni-bielefeld.de \\[2mm] \normalsize\noindent \textbf{\textit{Keywords --- }} Lenski's long-term evolution ex...
1,108,101,566,236
arxiv
\section{General Packing Constraints} \label{sec:main} In this section, we study approximation to the core under general packing constraints of the form $A \vec{x} \le \vec{b}$. Recall that there are $m$ elements, $V_i$ is the maximum possible utility that agent $i$ can receive from a feasible outcome, and $V_{\max} = ...
1,108,101,566,237
arxiv
\section{Discussion} \bibliographystyle{IEEEtran} \section{Experiments} \label{sec:expr} \subsection{Datasets and model details} \label{ssec:expr:dataset_model} We evaluate the proposed cross-speaker reading style transfer method on the following disjoint datasets \textbf{MST-Originbeat}: A neutral Mandarin cor...
1,108,101,566,238
arxiv
\section{Introduction} We consider the classical Lagrange function interpolation problem in the following ``discrete'' setting. Let $\tau_1, \ldots, \tau_\nu$ be a given set of mutually distinct interpolation nodes, and let $f_1, \ldots, f_\nu$ be a given set of ``basis'' functions. For any given function $g$ we...
1,108,101,566,239
arxiv
\section{Introduction} As it is known (see an interesting review by Shirkov \cite{Sh1}) the basic idea of the renormalization group (RG) was formulated in an article by Stueckelberg and Petermann \cite{SP}. The existence of such group of transformations was related to the arbitrariness in the procedure of subtract...
1,108,101,566,240
arxiv
\section{Introduction and motivation} It has been shown in several studies, both theoretically and empirically, that training an ensemble of models, i.e. aggregating predictions from multiple models, is superior to training a single model\cite{brown2005managing,NIPS2018_7614,Fernandez2014hundreds,NIPS2019_9097,liu1999e...
1,108,101,566,241
arxiv
\section{Introduction} QCD and electroweak radiative corrections to high energy scattering amplitudes were computed recently using effective field theory methods~\cite{Chiu:2009ft,Chiu:2009mg,Chiu:2009yz,Chiu:2009yx,Chiu:2008vv,Chiu:2007dg,Chiu:2007yn}, by extending SCET~\cite{BFL,SCET1,SCET2,BPS} to broken gauge theo...
1,108,101,566,242
arxiv
\section{Introduction} An embedded Lagrangian $L$ in a cotangent bundle $(T^*Q,d(pdq))$, is {\em exact} if $pdq|_L = df$ for some function $f: L \to \mathbb{R}$. Arnold's nearby Lagrangian conjecture predicts that if $Q$ and $L$ are closed, then $L$ is Hamiltonian-isotopic to the zero-section $Q \subset T^*Q$. This re...
1,108,101,566,243
arxiv
\section{Conclusions \major{and future work}} \label{sec:conclus} In this paper, we focused on the problem of people \textit{looking at each other (LAEO)} in videos. We proposed LAEO-Net++\@\xspace, which takes as input head tracks and determines if the people in the track are LAEO. This is the first work that uses...
1,108,101,566,244
arxiv
\section{Introduction}\label{intro} Stochastic gradient descent (SGD), as a stochastic approximation for the gradient descent, is a simple but powerful optimization method, where the objective function is often the average of a family of functions. With the ``random mini-batch" idea, instead of directly calculating t...
1,108,101,566,245
arxiv
\section{Introduction} In this paper, we consider linear operator equations of the form \begin{equation}\label{Ax=y} Ax = y \,, \end{equation} where $A \, : \, {\ell^2} \to {\ell^2}$ is a bounded linear operator on the (infinite-dimensional) sequence space ${\ell^2}$. Note that by using a suitable basis or frame,...
1,108,101,566,246
arxiv
\section*{Background} Clustering has been a mainstay of genomics since the early days of gene-expression microarrays \cite{bendor}. For instance, expression profiles can be taken over various tissue samples and then clustered according to the expression levels for each sample, the aim being to discriminate pathologies...
1,108,101,566,247
arxiv
\section{Introduction} It is believed that betting house always makes money in long run irrespective of their short term loss or gain. In this paper, we make an attempt to understand this phenomenon with the concept of simple `expectation' and `variance' of probability theory. First, we will discuss what is \textbf{f...
1,108,101,566,248
arxiv
\section{\label{sec:level1} Introduction} Progress in trapped-ion quantum information processing \cite{leibfried_experimental_2003, haffner_quantum_2008, blatt_entangled_2008, wineland_nobel_2013}, quantum simulation \cite{schaetz_focus_2013, blatt_quantum_2012}, and precision spectroscopy experiments \cite{schmidt_spe...
1,108,101,566,249
arxiv
\section{Introduction} The interplay between coherent and incoherent processes is key in the quantum mechanical processing of information. Systems designed in order to perform a given communication or computational task have to cope with the detrimental effects of the surrounding world, which can affect an otherwise c...
1,108,101,566,250
arxiv
\section{Introduction} Giant planets on short period orbits (also called hot Jupiters) were the first planets to be discovered, and their numbers increased quickly during the first years of exoplanetary science. Their existence itself immediately posed a challenge on planet formation theories, which at the time only ha...
1,108,101,566,251
arxiv
\section{Introduction} Part of our visual world constantly experiences situations that require us to forecast what will happen over time by observing one still image from a single moment. Studies in neuroscience show that this \emph{preplay} activity might constitute an automatic prediction mechanism in human visual ...
1,108,101,566,252
arxiv
\section{Introduction} Experiments plan to study fluctuations of conserved quantities in heavy-ion collisions at the RHIC and LHC in different rapidity windows. With proper particle identification, one can measure in the experiment both absolutely conserved quantities like the baryon number ($B$) and the electrical ch...
1,108,101,566,253
arxiv
\section{Introduction} The aim of this paper is to develop analytic tools, in order to design a relevant mechanism for carbon markets, where relevant refers to emission reduction. For this purpose, we focus on electricity producers in a power market linked to a carbon market. In this context, where the number of agen...
1,108,101,566,254
arxiv
\subsection{Available scripts} \makeatletter \newcommand*\reset[1]{ \renewcommand\AB@affillist{}% \global\let\AB@authlist\@empty \renewcommand\AB@authlist{}% \setcounter{affil}{0}% \setcounter{authors}{0}% \emptythanks } \makeatother \begin{document} \newbibliography{main} \bibliographystyle{main}{References/...
1,108,101,566,255
arxiv
\section{Introduction} \label{sec:introduction} Much has been learned about the physical properties of exoplanets in the nearly three decades following the discovery of the exoplanet candidate HD~114762\,b \citep{latham:1989}. As of 2018 September 27, the NASA Exoplanet Archive lists 3791 confirmed and valida...
1,108,101,566,256
arxiv
\section{Introduction} The black hole information paradox lies in the fact that a pure state seems to evolve into a thermal state through Hawking radiation, and thus it violates unitarity of quantum mechanics. This paradox can be partially resolved if there exists black hole microstates, which are pure states, cannot ...
1,108,101,566,257
arxiv
\section{Introduction} The majority of ordered surface structures known today has been determined by Low Energy Electron Diffraction (LEED) \cite{NIST}. The strong elastic and inelastic interaction of electrons in the energy range 50-500eV involves a particular sensitivity to the atomic arrangement within the outermost...
1,108,101,566,258
arxiv
\section{Introduction} Boris Dubrovin introduced the notion of a Frobenius manifold as a geometric realization of a potential $\mathbb F$ {which} satisfies a system of partial differential equations known in topological field theory as Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. More precisely, a Frobenius ...
1,108,101,566,259
arxiv
\section{Introduction} Stellar population synthesis models provide a framework through which observational data of stellar clusters, galaxies and galaxy populations can be interpreted \citep{1976ApJ...203...52T}. Identifying the properties of the observed population relies on matching the data to predictions determine...
1,108,101,566,260
arxiv
\section{Introduction} Let $F$ be a distribution supported on $I=\mathbb{R}^{+}$ or $\mathbb{R}$ such that $$\int_I x^n dF(x) < \infty \quad \text{for all } n\geq 1.$$ Under this assumption we say that $F$ has a finite moment sequence on $I$. A distribution $F$ with finite moment sequence on $I$ is called $M$-indeterm...
1,108,101,566,261
arxiv
\section{Introduction} The \emph{Catalan monoid} $C_n$ is the monoid of all order-preserving, weakly increasing self-maps $f$ of $[n]=\{1,\ldots, n\}$. It is well known that the cardinality of $C_n$ is the $n$-th Catalan number. See for example, \cite[Ex.6.19(s)]{Stanley2}. $C_n$ has appeared in many guises in comb...
1,108,101,566,262
arxiv
\section{Introduction} In this paper we will consider the operator $\mathcal{L}$ (called here Heckman--Opdam Laplacian) on $\mathbb{R}^n$ defined, for $f$ a $C^2$ function, by \begin{eqnarray} \label{explicitlaplacian} \mathcal{L} f(x) &=& \Delta f(x)+ \sum_{\alpha \in \mathcal{R}^+}k_\alpha \coth \frac{\langle\alph...
1,108,101,566,263
arxiv
\section{Introduction} To fully expolit the potential of future $\mathrm{e^+ e^-}$ collider experiments, a precise reconstruction of all final states is necessary. To achieve this for hadronic final states, a jet energy resolution significantly beyond the current state-of-the-art, in the order of 3\% - 4\% over a wide ...
1,108,101,566,264
arxiv
\section{Introduction} Neural machine translation (NMT) has revolutionised the field of MT by overcoming many of the weaknesses of the previous state-of-the-art phrase-based machine translation (PBSMT)~\citep{D16-1025,toral-sanchezcartagena:2017:EACLlong}. In only a few years since the first working models, this appr...
1,108,101,566,265
arxiv
\section{Introduction} \label{sec:introduction} \noindent The literature on Bayesian variable selection in linear regression is vast and rich. Many priors and methods have been proposed. \citet{George:McCulloch:1993} propose the stochastic search variable selection which uses the Gaussian distribution with a zero mean...
1,108,101,566,266
arxiv
\section{Introduction} \label{one} The interest in the Abelian monopoles in the non--Abelian gauge theories is motivated by a central role of these objects in the dual superconductor mechanism~\cite{DualSuperconductor} of color confinement. The Abelian monopoles can be considered as particular configurations of gluon f...
1,108,101,566,267
arxiv
\chapter{Absolutely cartesian squares}\label{ch:abscart} \bigskip Let $I$ be a small indexing category with initial object $\emptyset$ and final object 1. A diagram $\mathscr{D}$ in a category $C$ is a functor $I \rightarrow C$; we restrict ourselves here to $C$ being spaces This diagram is cartesian \footnote{In kee...
1,108,101,566,268
arxiv
\section{Introduction}\label{sec:introduction} Ranging from high-energy particle physics (Standard Model) \cite{Peskin_book, gauge2, Schwartz:2013pla} to low-temperature condensed matter physics (spin liquids, quantum Hall, high-$T_c$ superconductivity) \cite{fradkin_2013, RevModPhys.89.025003}, gauge theories constitu...
1,108,101,566,269
arxiv
\section{Introduction} A \emph{neighbor} of a vertex $v$ in $G$ is a vertex that is adjacent to $v$. A vertex \emph{dominates} itself and its neighbors. A \emph{dominating set} of a graph $G$ is a set $S$ of vertices of $G$ such that every vertex in $G$ is dominated by a vertex in $S$. The \emph{domination number} o...
1,108,101,566,270
arxiv
\section{Introduction} Continuous-time jump Markov processes are broadly used in stochastic models of operations research. In many applications continuous-time jump Markov processes are defined by transition rates often called $Q$-functions. Each $Q$-function defines Kolmogorov's backward and forward equations, and...
1,108,101,566,271
arxiv
\section{Introduction and Statement of Results} An incredible number of interesting sequences appear as Fourier coefficients of modular forms. The analytic properties of these modular forms dictate the asymptotic behavior of the corresponding sequences. The most famous example of such a sequence is the partition fun...
1,108,101,566,272
arxiv
\section{Overview} The successful start of the LHC and its first data taking mark the dawn of a new era in particle physics. Very soon we will be able to explore the energy scale of electro-weak symmetry breaking which enables us to either confirm the Standard Model as a low energy theory of particle physics or to dis...
1,108,101,566,273
arxiv
\section{Introduction} In the present paper we work in a certain geometrical model of dynamics which can be constructed due to some variational principles of mechanics that allow one to construct an isomorphism between the dynamics and its model. Recently a geometric description of chaos in Hamiltonian systems of cos...
1,108,101,566,274
arxiv
\section{Introduction}\label{intro} Our current paradigm for the origin of galaxy morphologies rests upon hierarchical mass assembly \citep[e.g.,][]{steinmetz02}, and many transformational processes are at work throughout the evolutionary histories of galaxies. Some determine the main structural traits (e.g., disk ver...
1,108,101,566,275
arxiv
\section{Introduction} \label{sec:introduction} Determination of leptonic mixing parameters, the three mixing angles and the two mass squared differences of neutrinos, marks a new epoch of physics beyond the standard model (SM). Despite that we still do not know the value of leptonic Kobayashi-Maskawa phase and the n...
1,108,101,566,276
arxiv
\section{Introduction} Quantum correlations in finite-dimensional composite systems have been studied intensively in last decades, originally with focus on the simplest systems i.e. qubit systems. Although one can consider in this respect a generic d-level system, so called qudit, but progress in studying quantu...
1,108,101,566,277
arxiv
\section*{Appendix \thesection\protect\indent \parbox[t]{11.715cm} {#1}} \addcontentsline{toc}{section}{Appendix \thesection\ \ \ #1} } \newcommand{\complex}{{\mathbb C}} \newcommand{\zed}{{\mathbb Z}} \newcommand{\nat}{{\mathbb N}} \newcommand{\real}{{\mathbb R}} \newcommand{{\mathbb E}}{{\mathbb E}} \newcommand{\rat...
1,108,101,566,278
arxiv
\section{Axion dark matter} The story we tell applies to any scalar or pseudo-scalar dark matter produced in the early universe by vacuum realignment and/or the related processes of string and domain wall decay. However, the best motivated particle with those properties is the QCD axion since it is not only a col...
1,108,101,566,279
arxiv
\section{INTRODUCTION} A wealth of information on the partonic structure of the nucleon is encoded in the generalized parton distributions (GPD's) and extensive research programs are being pursued to gain information on nucleon GPD's. Our strategy to this end is to determine the quark-nucleon vertex function from a...
1,108,101,566,280
arxiv
\section{Introduction} \subsection{Response-adaptive randomization} Randomization remains a pivotal methodology for advancement in medical knowledge. It removes any systematic bias and allows direct inference between the treatment group and outcome. Traditionally, fixed randomization scheme (1:1 or 2:1) is used to ...
1,108,101,566,281
arxiv
\section{Introduction}\label{intro} Let $(p,q)$ be an interval of the real line and $p_0=p<p_1<\dots<p_{k-1} <p_k=q$ be a finite collection of points that split $(p,q)$ into subintervals $(p_{i-1},p_i)$, $i=1,2,\dots,k$. A transformation $f$ of the interval $(p,q)$ that rearranges the subintervals by translation...
1,108,101,566,282
arxiv
\section{Introduction} Graph pebbling has its origin in number theory. It is a model for the transportation of resources. Starting with a pebble distribution on the vertices of a simple connected graph, a \emph{pebbling move} removes two pebbles from a vertex and adds one pebble at an adjacent vertex. We can think of ...
1,108,101,566,283
arxiv
\section{Introduction} Let $k$ be a field of characteristic zero and $R=k[x_1,\dots,x_n]$ the ring of polynomials in $n$ variables. For any ideal $I\subseteq R$, the local cohomology modules $H_I^r(R)$ have a natural finitely generated module structure over the Weyl algebra $A_n$. Recently, there has been an effort ma...
1,108,101,566,284
arxiv
\section{Introduction} Neural language generation models optimized by likelihood have a tendency towards `safe' word choice. This lack of output diversity has been noted in NMT \citep{vanmassenhove-etal-2019-lost} and throughout NLP \citep{li-etal-2016-diversity,sultan-etal-2020-importance}. Model-generated language...
1,108,101,566,285
arxiv
\section{Introduction} Fluid-particle systems are ubiquitous in nature and industry. Sediment transport and erosion are important in many environmental studies and the interaction between particles and interstitial fluid affects the rheology of avalanches, slurry flows and soils. In industry, the efficiency of a ...
1,108,101,566,286
arxiv
\section{Introduction} Magnetohydrodynamic (MHD) turbulence in the early Universe can be a powerful source of gravitational waves (GWs) that could be observable as a stochastic background today \citep{1994PhRvD..49.2837K,PhysRevLett.85.2044,2002PhRvD..66b4030K,Dolgov+02,2018CQGra..35p3001C}. The frequency spectrum of ...
1,108,101,566,287
arxiv
\section{Modeling error suppression through PIS and PIP} Thermal fluctuations are significant on the molecular scale, and we describe transcription as a stochastic hopping process between well defined states, with transition rates set by the intervening free-energy barriers~\cite{risken_fokker-planck_1996}. Following H...
1,108,101,566,288
arxiv
\section{PROSPECT-II Oscillation Physics Opportunities} \section{PROSPECT-II: unique inputs for the resolution of short baseline anomalies} \begin{figure}[h] \centering \includegraphics[trim = 0cm 0.0cm 0.5cm 0.0cm, clip=true, height=2.7in]{figures/PROSPECT_Sensitivity_Mev1.pdf} \includegraphics[trim = 0cm 0.0cm...
1,108,101,566,289
arxiv
\section{Introduction}\label{sec:introduction}} \section{Introduction} \IEEEPARstart{W}{e} take \textit{lifestyle} to be \textit{the way in which a person or group lives including the interests, opinions, behaviors, and behavioral orientations.} Understanding lifestyle is key to gaining insight of the physical and me...
1,108,101,566,290
arxiv
\section{Introduction and background} The properties of granular materials, in particular sand, are a constant source of fascination for children and adults alike, and are intrinsically related to the ability of such systems to exist in either solid or fluid states, under very similar conditions. For the scientist th...
1,108,101,566,291
arxiv
\section{Models and problem formulation} Various problems in fluid mechanics, contact mechanics, heat transfer or diffusion across membranes lead to parabolic or coupled elliptic-parabolic systems of partial differential equations (or inequations) with nonlinear, dynamical conditions prescribed on a Riemannian manifol...
1,108,101,566,292
arxiv
\section{Introduction} \subsection{Motivation} Motivated by the celebrated Weyl's law, we aim to study the asymptotic behavior of eigenvalues of the Kohn Laplacian $\square_b$ (also referred to as the complex Laplacian) on compact Heisenberg manifolds, specifically compact quotients of the Heisenberg group by lattice ...
1,108,101,566,293
arxiv
\section{Introduction} \label{intro} Dispersal of a passive solute, such as a dye in a pipe flow or a pollutant in a river, is a classical fluid mechanics transport phenomenon that falls within the subject of macrotransport processes \cite{be93}. G.\ I.\ Taylor \cite{t53}, followed by Aris \cite{a56}, showed that the ...
1,108,101,566,294
arxiv
\section{Introduction} \label{282P:introduction} Volatiles are vital to life as we know it and are critically important to future space exploration, yet basic knowledge about where volatiles (e.g., H$_2$O, CO, CH$_4$) are located within our own solar system is still incomplete. Moreover, the origin of solar system vol...
1,108,101,566,295
arxiv
\section{Introduction} Let $G$ be a finite graph. We often denote by $V(G)$ the vertex set of $G$. For $x\in V(G)$, the {\em neighborhood} $N_G(x)$ of $x$ is the set of vertices adjacent to $x$; the {\em closed neighborhood} $N_G[x]$ of $x$ is the union of $\{x\}$ and $N_G(x)$. For subsets $C$ and $S$ of $V(G)...
1,108,101,566,296
arxiv
\section*{Introduction} The problem of filtering closed 3-manifolds in order to study them systematically has been approached by many mathematicians. The aim is to find a function from the class of closed 3-manifolds to the set of natural numbers. The number associated to a closed 3-manifold should be a measure of how...
1,108,101,566,297
arxiv
\section*{Introduction} \noindent Before the GWAS (genome-wide association study) era, many genetic determinants of disease were found via analysis of multiplex pedigrees, that is, by looking for genetic markers that run in families in a similar way as disease. GWAS advent has robbed pedigree analysis of its lust...
1,108,101,566,298
arxiv
\section{Introduction} \label{sec:intro} It was Calabi \cite{Calabi:almcpl6} who first recognised the rich geometry that can be found on a hypersurface of \( \mathbb R^7 \) when the latter is equipped with its natural cross product and \( \mathrm{G}_2 \)-structure. The realization, much later, of metrics with holonomy...
1,108,101,566,299
arxiv
\section{Introduction} \label{sec:intro} \IEEEPARstart{F}{ace} video inpainting targets at restoring corrupted or occluded regions of faces in videos. It is an important research topic in computer vision and has many practical applications such as video overlay removal~\cite{3dconv-vd} and partially occluded face re...
1,108,101,566,300
arxiv
\section{Introduction} \label{sec:intro} The application of multi-variate analysis (MVA) techniques and machine learning have a long-standing history in analyses in particle physics and beyond. In the context of particle physics, machine learning-based approaches are typically employed when the expected signal count is...
1,108,101,566,301
arxiv
\section{Introduction} In the last three decedes, after the proposal of the inflationary paradigm by Guth~\cite{Guth} and Sato~\cite{Sato}, several scenarios for describing the early-time accelerated expansion of our Universe have been carried out (see Refs.~\cite{Linde, revinflazione} for some reviews). Among them, t...
1,108,101,566,302
arxiv
\section{Introduction}\label{sec:intro} While learning-to-learn, or {\em meta-learning}, has long been an object of study \cite{thrun1998ltl}, in recent years it has gained significant attention as a multi-task paradigm for developing algorithms for learning in dynamic environments, from multiple sources of data, and ...
1,108,101,566,303
arxiv
\section{Introduction} \label{sec:intro} \setcounter{footnote}{0} Understanding bar-formation and the secular effects that bars have on the stellar component is becoming central to our understanding of galaxy formation and evolution. Once a bar forms it can change the scale length of the stellar component via scatte...
1,108,101,566,304
arxiv
\section{Introduction}\label{sec:intro} Over the last decade, due to advances\cite{Bloch-08,ReichelVuletic11,Langen-15} in the control of ultra-cold atomic systems the experimental realisation of sudden quantum quenches\cite{CalabreseCardy06} has become possible. Hereby a quantum system is prepared in an initial state,...
1,108,101,566,305
arxiv
\section{Introduction}\label{Sec1} In the field of Position Based Cryptography (PBC) one aims to develop cryptographic tasks using the geographical position of a third party as its only credential. Once the party proves to the verifier that it is in fact located at the claimed position, they interact considering th...
1,108,101,566,306
arxiv
\section{Introduction} For the past several years, there has been much interest in applying the powerful field theory/gravity dualities developed in the late 90s and early 2000s to field theories without Lorentz invariance. These non-relativistic forms of AdS/CFT, often collectively referred to as AdS/CMT due to...
1,108,101,566,307
arxiv
\section{Introduction} \label{sec:intro} Distributed computing systems are more and more becoming dynamic. The static and relatively stable models of computation can no longer represent the plethora of recently established and rapidly emerging information and communication technologies. In recent years, we have seen a...
1,108,101,566,308
arxiv
\section{Introduction} With a surge in the range of applications from economics, finance, environmental science, social science and epidemiology, there has been renewed interest in developing models for time series of counts. The majority of these models assume that the observations follow a Poisson distribution condi...
1,108,101,566,309
arxiv
\section{ Introduction} A variety of experimental probes have revealed the existence of inhomogeneity in the electronic spectra of several families of the cuprate high-$T_c$ superconductors, which manifests itself as spatial modulation of the charge or spin density. These manifestations of inhomogeneity include the one...
1,108,101,566,310
arxiv
\section{Data}\label{sec:data} \subsection{The eBOSS Survey}\label{sec:ebosssurvey} The eBOSS survey is the cosmology survey within SDSS-IV, an extension of the BOSS survey \citep[][]{dawson13a} in SDSS-III \citep[][]{eisenstein11a}. Over a six-year period beginning in Fall 2014, eBOSS will observe four independent ...
1,108,101,566,311
arxiv
\section{Introduction}\label{sec:intro} We study the problem of estimating the edit distance between two $n$-character strings. There is a classic $O(n^2)$ dynamic programming algorithm, and fine-grained complexity results from recent years suggest that it is nearly optimal~\cite{BK15-LCS,BI18,AHWW16-polylog_shaved,AB...
1,108,101,566,312
arxiv
\section{\bf Introduction} In past various authors \cite{Dmi-86,Jain-90}, including two of the present authors (Jain and Santra), have analysed theoretically the data on the pp$\rightarrow $n$\Delta ^{++}$ reaction to extract the potential for pp$\rightarrow $N$\Delta $ transition. In them, the calculations of...
1,108,101,566,313
arxiv
\section{ Numerical method--OPEM "total variance"} Let the $\{E_{i},F_{i}, i=1,...M \}$ are arbitrary pairs of monitoring data $E=E_{i}$ and $F=F_{i}$, introduced in section 2. They are given with experimental errors in both variables-$\sigma(F_{i})$ and $\sigma(E_{i})$. Consider the total uncertainty (to...
1,108,101,566,314
arxiv
\section{Introduction} Globally generated vector bundles on projective varieties play an important role in algebraic geometry. If they are non-trivial they must have strictly positive first Chern class. Globally generated vector bundles on projective spaces with low first Chern class have been investigated in several ...