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\section{Introduction} \label{s:intr} It is arguably one of the most exciting recent discoveries in condensed matter theory that by twisting two sheets of graphene, the electronic structure undergoes a transition from a Mott-insulating to a superconducting phase at distinguished angles that have been coined the \emph{...
\section{Introduction and summary} \label{sec:intro} The theory of random matrix integrals has achieved so many accolades that a very few of the other \emph{toy models} can ever reach. Random matrix integrals (in short matrix models) have impacted both the realms of mathematics and physics almost equally. Although, m...
\section{Lecture One: Some Quadratic Forms} In the lectures we shall discuss a state-of-the-art bound for twisted Hilbert modular $L$-functions, namely an analogue of Burgess' bound~\cite{Bu} for Dirichlet $L$-functions. For motivation and context, we start with an application to quadratic forms. For a positive integ...
\subsection{Design procedure and overall algorithm} \label{sec:design_1} In the following we provide explicit design procedures satisfying the conditions in Assumptions~\ref{ass:nominal}, \ref{ass:increm}, \ref{ass:w_tilde}, \ref{ass:term}. Here the focus is on providing procedures that are simple to apply. We firs...
\section*{Introduction} In this paper we will consider the Effros Borel space $F(X)$ of closed subsets of a Polish space $X$, and the co-analytic subset $F_{\aleph_0}(X)$ of countable closed subsets. Recall that a subset is called co-analytic if it is the complement of an analytic set. It is well known that $F_{\aleph_...
\section{Introduction} A Foreign Exchange (FX) option is a contract that gives the buyer the right, but not the obligation, to buy or sell a particular currency at a pre-specified rate (exercise price) at a pre-specified future date. Implied volatility (IV) is where the market's expectation of future realised volatilit...
\section{Introduction} \label{introduction} Accretion processes are generating a large amount of energy. On sub-galactic scales accretion occurs in proto- and T Tauri stars and in binary systems where a primary compact object (a white dwarf, a neutron star or a black hole) is accreting matter from a companion star. Th...
\section{Introduction} Manipulation of the resident electron spins in singly charged semiconductor quantum dots (QDs) using laser pulses is considered a promising route for optically controlled quantum functionality \cite{PhysRevLett.96.227401,*GreilichScience2007}. The well localized electron spins exhibit an increas...
\section{Introduction} \label{sec:intro} In this paper, we consider solving the following convex optimization problem: \be\label{prob:min-sum-2}\ba{ll} \min_{x\in\br^n,y\in\br^p} & f(x) + g(y) \\ \st & Ax+ By =b \\ & x\in\XCal, y\in\YCal, \ea\ee where $f$ and $g$ are convex functions, $A\in\br^{m\times n}$, $B\in\...
\section{Introduction} False vacuum decay through the nucleation of true vacuum bubbles has many important applications ranging from early universe phase transitions to stability of the Higgs vacuum. The process has an elegant description in terms of Euclidean solutions to the underlying field equations that extend...
\section{Introduction}In the $19^{th}$ century Gauss introduced classical hypergeometric series. Since then, many mathematicians such as Kummer, Ramanujan, Beukers, Stiller and others studied classical hypergeometric series extensively and found many interesting connections between classical hypergeometric series and d...
\section{\label{intro}Introduction} The estimation of the curvature tensor of membrane networks embedded in the 3D Euclidean space plays a key role in many relevant problems of differential geometry, solid mechanics, biomechanics, biophysics and computer vision. {} %{\color{blue}{Particularly important is the curvatur...
\section{Introduction} Engagement is a significant aspect of human-technology interactions and is defined differently for a variety of applications such as search engines, online gaming platforms, and mobile health applications \cite{o2016theoretical}. According to Monkaresi~\textit{et al.}~\cite{monkaresi2017automate...
\section{Introduction} Low-mass X-ray binaries (LMXBs) which either contain a black hole (BH) or a neutron star (NS), accreting matter from its low-mass companion star ($\lesssim 1 M_{\odot}$) are ideal natural laboratories for studying the physics of accretion and jet around a BH or a NS \citep[e.g.][]{Miglia...
\section{Introduction} Knowledge of $D_{s}^{\pm}$ decay properties are vital input for studies of the $B^0_s$ hadron, whose decay channels are dominated by the final states involving $D_{s}^{\pm}$ mesons~\cite{PDG}. Furthermore, hadronic $D_{s}^{\pm}$ decays probe the interplay of short-distance weak-decay matr...
\section{Introduction} \label{introduction} A convergence rate is established for an $hp$-orthogonal collocation method applied to a constrained control problem of the form \begin{equation}\label{P} \left. \begin{array}{cll} \mbox {minimize} &C(\m{x}(1))&\\ \mbox {subject to} &\dot{\m{x}}(t)= \m{f(x}(t), \m{u}(t)),& \m...
\section{Introduction} By many experiments which were realized during two latter decades in the field of high energy atmospheric physics it was detected the phenomenon of a prolonged excess of the flux of high energy charged particles and local gamma radiation above its usual background which takes place in thundersto...
\section{Introduction} \label{sec:intro} Crowd counting is central to many real-world computer vision applications, including crowd management~\cite{liu2019point, laradji2018blobs}, surveillance systems~\cite{wang2019object}, security and planning~\cite{chan2008privacy}, traffic monitoring~\cite{chen2010real}, anima...
\section*{Acknowledgements} We thank Ruslan Tepelyan (Bloomberg Quant Research) for comments on the paper. We thank Aaron Key (Bloomberg Quant Research) for discussions about normalizing flows and the plots in the paper. \newpage \section{Experiment Setup} \subsection{Architecture}\label{sec:architecture} F...
\section{Introduction} Rational extended thermodynamics (RET) is a theory applicable to nonequilibrium phenomena out of local equilibrium. It is expressed by an hyperbolic system of field equations with local constitutive equations and is strictly related to the kinetic theory with the closure method of the hierarchie...
\section{Introduction} Deep learning-based machine learning algorithms have been increasingly employed for automatic music composition in recent years \cite{midinet,melodyRNN16,Jazzgan}. Typically, this is done by collecting a large dataset of machine-readable musical scores of existing music, in formats such as MIDI...
\section{Introduction} \label{sec: introduction} A telepresence robot is a form of a video conferencing device mounted on a mobile robot, which allows a remote operator to teleoperate the robot as his/her embodiment to actively telecommunicate with local persons \cite{jia2015telepresence}. In recent years, telepresence...
\section{Introduction} The Standard Model (SM) is one of the biggest achievements of modern particle physics. While successful in predicting any terrestrial experiment, it is known to be incomplete. It falls short of explaining the CP symmetry of the strong sector and fails to provide explanations for the energy densi...
\section{Introduction} This paper deals with the general problem of covering definable sets in an o-minimal structure \cal R with topologically nice subsets. It was first proved by Wilkie \cite{wilkie} that if \cal R expands an ordered field, then every bounded open definable set $X$ is a finite union of open cells. ...
\section{Introduction} \label{sec:introduction} Quantum key distribution (QKD) holds promise to achieve information-theoretically secure communication between two distant parties (Alice and Bob) against any eavesdropper (Eve). Since the first invention of the BB84 protocol~\cite{bb84}, many QKD protocols have been prop...
\section{Introduction} The S-curvature is one of the most important non-Riemannian quantities in Finsler geometry which was originally introduced for the volume comparison theorem (\cite{shen1}). Recent studies show that the S-curvature plays a very important role in Finsler geometry (cf. \cite{BRS}, \cite{CMS}, ...
\section{Introduction} One of the popular research topics on networked humanity is to understand how people interact and communicate \cite{blondel2015survey}. Scholars investigated the arising communication patterns, and in particular the series of events happening for a single user. The distribution of waiting times...
\section{Introduction} To study the propagation of nonlinear waves in networks, a first step is to consider a simple fork as a model of elementary junctions. Another natural simplification is to reduce the problem from a 2D partial differential equation to a 1D effective partial differential equation with adequate cou...
\section{Introduction} \label{intro} It is now more than two decades since the first blank field surveys using the Submillimetre Common-User Bolometer Array (SCUBA) on the James Clerk Maxwell Telescope (JCMT) revealed the existence of large numbers of highly luminous Far Infra-Red (FIR) sources, usually referred to as...
\section{Introduction} Current precise measurements of the cosmic microwave background~(CMB) from Planck~\cite{Adam:2015rua,Ade:2015xua} and other cosmological observations, such as baryon acoustic oscillation~(BAO)~(see e.g.,~\cite{Alam:2016hwk}), type Ia supernovae (SNe)~(see e.g.,~\cite{Betoule:2014frx}) and so o...
\section{Introduction} \label{s1} In this paper we detect topological properties preserved by weakly discontinuous maps and weak homeomorphisms. By definition, a map $f:X\to Y$ between topological spaces is {\em weakly discontinuous} if each subspace $A\subset X$ contains an open dense subspace $U\subset A$ such...
\section{INTRODUCTION} \label{sec:intro} With the rapid advancements in 3D video technology, the industry and consumer experiences are improving in a tremendous way. According to the recent survey by Motion Picture Association of America (MPAA) \cite{mpaa2014}, the US revenue from 3D film industry has risen to 16\% in...
\section{Motivation} In the early days of quantum field theory, Landau and collaborators studied quantum electrodynamics in perturbation theory \cite{abrikosov1954elimination}. They found that QED has positive $\beta$-function in perturbation theory, recognizing that this would lead to an uncontrolled growth of the th...
\section{Preliminaries} Assume $\pair X\Tau$ is a compact space in a universe of set theory $\V$ and assume that $\W$ is an extension of $\V$ satisfying the axioms of ZFC (or just a large enough part of ZFC). Clearly $X$ is again a Hausdorff topological space and $\Tau$ is its natural open base. Call this new topolo...
\section{Introduction} \label{sec:introduction} Fractures are a common feature in many geological formations throughout the planet, and therefore, they are of particular importance in a wide range of geotechnical applications from groundwater management over energy production and storage to the disposal of waste \cite...
\section{Introduction} The expression `L\'evy random medium' indicates a stochastic point process, in some space, where the distances between nearby points have heavy-tailed distributions. Processes of this kind have been receiving a surge of attention, of late, both in the physical and mathematical literature; cf., r...
\section{Introduction} There is an intricate relationship between the computational strength of sets of natural numbers and their combinatorial properties, and its exploration occupies a prominent role within computability theory. (We refer the reader to Soare \cite{Soare-1987} for a general introduction to the subjec...
\section{Credits} This document has been adapted by Yulan He from the instructions for earlier ACL and NAACL proceedings, including those for ACL 2020 by Steven Bethard, Ryan Cotterrell and Rui Yan, ACL 2019 by Douwe Kiela and Ivan Vuli\'{c}, NAACL 2019 by Stephanie Lukin and Alla Roskovskaya, ACL 2018 by Shay Cohe...
\section{\protect\bigskip Introduction} Well-known that the spectral theory for linear operators is one of the most important topics of linear functional analysis, as in many cases for the study of the linear operator, it is enough to study its spectrum (e.g. it play an essential role in the theory of linear diff...
\section{Introduction} \label{s:intro} Angular resolution is one of the major parameters which define efficiency of an astronomical observing instrument. For the past half a century, the record in angular resolution firmly belongs to the Very Long Baseline Interferometry (VLBI) technique. In recent years, advances of ...
\section{Introduction} When restricted to one side of a spatial partition, the vacuum state of a quantum field has entropy because the two sides are entangled. The entanglement entropy of the restricted state is dominated by the ultraviolet (UV) field degrees of freedom near the interface, and hence scales with the ar...
\section{Introduction} In recent decades, there has been an increased research focus on far-from-equilibrium systems in biology and physics which is referred to as ``active matter''. The relevant length scales of such systems span several orders of magnitude. They range from the \mbox{(sub-)}micrometer scale governin...
\section{Introduction} Entanglement is an important feature of quantum mechanics. After the fundamental work by Einstein, Podolsky and Rosen\cite{EPR} and also Schr\"odinger\cite{S} it has been studied extensively in the literature\cite{horo}. It leads to strong correlations between various parties, which have been s...
\section{Introduction} Data movement is increasingly playing a major role in the performance of computing systems, in terms of both time and energy. This current technological trend~\cite{patterson2005getting} is destined to continue, since the very fundamental physical limitations on minimum device size and maximum me...
\section{Supplementary Material} \subsection{Example of pointer state expectation value} Here we give an example of a pointer state expectation value for the specific case of $(I,J)=(H,H)$. In this case, the measurement sequence is $\bm{\pi}_H\bm{\pi}_D\bm{\pi}_H$ where \textit{e.g.} $\bm{\pi}_H = \ket{H}\bra{H}$. ...
\section{Introduction} Graphs are ubiquitous in the real world. Social networks, traffic networks, knowledge graphs, and molecular structures are typical graph-structured data. Graph Neural Networks (GNNs) \citep{scarselli2008graph,gori2005new}, leveraging the power of neural networks to graph-structured data, have a ...
\section{Introduction} \label{sec:introduction} Lattice QCD calculations of hadronic quantities of necessity happen in a finite physical volume. In a box with periodic boundary conditions this leads to spatial momentum components $p^i =(2\pi/L)n_i$ which even for a large 4~fm lattice gives a minimum spatial momentum o...
\section{Introduction} If general relativity holds on galactic and cosmological scales, the vast majority of the matter and energy content of our universe must be in unknown form. In the standard `double dark' scenario, most of the dark sector is composed of dark energy in the form of a cosmological constant ($\Lam...
\section{Introduction} Positioning is at the core of numerous applications supported by autonomous agents. It is often a challenging task, especially in environments without Global Positioning System (GPS) coverage and/or in setups where agents use sensors of limited capabilities. In cooperative positioning (CP), mul...
\section{Introduction} \subsection{Self-organization as the main brain-inspired computational principle} Nowadays, power consumption is one of the most crucial bottlenecks in the development of computing technologies. An important source of that inefficiency is a lack of specialization of computing systems for solvin...
\section{Introduction} Great strides have been taken by modern technology in the past several decades which has allowed building of highly sensitive gravitational wave (GW) laser interferometric detectors. These are now capable of measuring GW strain sensitivities of $h \sim 10^{-22}$ or $10^{-23}$, where $h$ is the me...
\section{Introduction and main result} \label{sec:Intro} For $\beta>0$, let $L_\beta$ denote the self-adjoint operator on $L^2(\ensuremath{\mathbb{R}}^2)$ acting as \begin{equation} -\Delta+ \beta x^2+ \beta^{-1}y^2, \end{equation} which we will refer to as the \emph{anisotropic harmonic oscillator}. For any $\beta>...
\section{Introduction} To meet soaring wireless demand with limited spectrum, there has been considerable researches for boosting utilization of wireless resources. Recently, \emph{full-duplex (FD) radios} have emerged as a potential way of improving spectral efficiency by enabling simultaneous transmission and recepti...
\section{Introduction} All graphs in this paper are simple of finite orders, i.e., graphs are undirected with no loops or parallel edges and with finite number of vertices. Graph polynomials are a well-developed area useful for analyzing properties of graphs. Li and Gutman \cite{44} introduced a general graph polyno...
\section{Introduction} In their influential book {\it Quantum Computation and Quantum Information}, Nielsen and Chuang \cite[Appendix 6]{NC} assert that ``no transparent proof of strong subadditivity'' of quantum entropy is known. Since then there have been a number of simpler proofs, e.g., \cite{E,Rsimp} as well as ...
\section{Introduction} \label{sec:intro} Replica exchange molecular dynamics (REMD) is one of the most popular methods to accelerate the conformational sampling of large biomolecules and other complex molecular systems \cite{Hansmann:97, SugitaOkamoto, SugitaKitaoOkamoto, Caflisch, EarlDeem}. It can be viewed as a g...
\section{Introduction} \label{sec:intro} Gamma-Ray Bursts (GRBs) are bright, high energy transients emitted by highly relativistic jets \citep[for reviews, see][]{kumar15, Levan2018}. GRBs are classified as short and long (SGRBs and LGRBs, respectively) based on their duration. SGRBs are associated with neutron star me...
\section{ Bloch oscillations in the presence of band crossings} In the presence of a constant force, $F$, the quasi-momentum becomes $k_f=k_0+F t$ at time $t$, where $k_0$ is the initial quasi-momentum at $t=0$. In the adiabatic limit, the inter-band transition can be determined by the path-ordered integral~\c...
\section{Introduction} \noindent As the 8 TeV run at the CERN's Large Hadron Collider (LHC) is reaching the end, one may ask if a light charged Higgs will survive the confrontation with experimental data in extensions of the Standard Model (SM) that allow for the existence of at least one charged Higgs boson. In model...
\section{Introduction} Recent advances in supervised machine learning enable human level performances \cite{Meier2016,Shen2017} of fully-automated medical imaging systems, but modern deep learning models still lack in robustness when applied to real-world clinical data. The considerable variability in real-world data c...
\section{Introduction} \label{sec:intro} Existing localization/navigation systems are clearly separated into two categories: outdoor~\cite{GPS,Hassanieh-MobiCom2012} versus indoor~\cite{Bahl-INFOCOM00,Youssef-MobiSys2005}. Normally, outdoor systems are mostly relying on GPS, while indoor systems leverage other pervas...
\section*{Introduction} Very recently several theoretical and experimental studies have shown that the remarkably high efficiency (almost $100\%$) of the excitation energy transfer through a network of chromophores in photosynthetic systems seems to be the result of an intricate interplay between quantum coherence and...
\section{Introduction} From the early days of Quantum Chromodynamics (QCD), the origin of hadron masses has been a profound puzzle. At the most naive level, one asks the question ``How can the QCD Lagrangian, written in terms of massless gluons and nearly massless quarks, give rise to the mass of the proton $M\sim 1$...
\section{Introduction} \label{sec:intro} Learning distance metrics for comparing multi-dimensional vectors is a fundamental problem. If a perfect task adaptive distance metric is available, many important computer vision problems such as image (object, scene etc.) classification and retrieval become trivial using near...
\section{Introduction} Although the $\Lambda$CDM scenario reproduces rather well a large amount of observational data, it is important to stress that its two main ingredients, Dark Matter (DM) \cite{1970ApJ...159..379R} and Dark Energy (DE) \cite{Spergel:2006hy}, do not have a direct physical explanation. In particu...
\section{Introduction} Low-dimensional conceptual models are often used in climate modelling to understand basic interactions between specific climate variables \cite{dijkstra2013}. These are particularly useful when studying long time-scale dynamics and computing power precludes resolving all of the many temporal an...
\section{Introduction} Dipole-dipole interactions enable transport and collective phenomena like dipole blockade in Rydberg gases \cite{PhysRevLett.87.037901}, coherent backscattering of light in cold atoms \cite{labeyrie99}, resonant energy transfer in photosynthetic complexes \cite{Brixner:2005jb,shatokhin2018_njp}, ...
\section{INTRODUCTION} The highest weight representations of the enveloping algebra of an affine Lie algebra have been intensively studied, through the Kashiwara crystal $B(\Lambda$) \cite{K1},\cite{K2} corresponding to the chosen highest weight $\Lambda$. For Lie algebras of type $A$, there are three different rep...
\section{Introduction} \label{sec:Intro} The spectroscopy of the carbon monoxide molecule is of major importance in view of its being the second most abundant molecule in the Universe. Its dipole moment is a decisive ingredient in the cooling process of interstellar clouds \emph{en route} to star formation. The probin...
\section{Introduction} \label{S1} Many of the present gaseous ionization detectors have exposed dielectric components within the gas volume. When the gas gets ionized and avalanches, or streamers, occur within the volume, there is a possibility that the resulting electrons and ions come in contact with the dielectric ...
\section{Introduction} Real geometric (Clifford) algebras (GA) may be understood as a generalisation of well known quaternions which is an alternative for matrix description of orthogonal transformations. Real geometric algebras have a wide range of applications in robotics, \cite{joan,hdita}, image processing \cite{st...
\section{Introduction} A fascinating property of vacuum Maxwell equations of the electromagnetic (EM) field $F$ is that they are left invariant by the duality transformation $F\rightarrow \star F$, where the $\star$ denotes the 4D Hodge dual. In presence of a matter source generating an electric current, this duality...
\section{Introduction}\label{sec.Intro} Emerging time-sensitive applications increasingly rely on collaborative multi-agent systems. Examples are abundant: search and rescue missions using a team of unmanned aerial vehicles (UAVs), smart factories with connected automated machinery, and smart city intersections with...
\section{Introduction} Pneumonia is an acute respiratory infection caused by bacteria, fungi, or viruses with mild to life-threatening conditions that, if not diagnosed, can lead to respiratory failure \cite{Pneumoni94:online}, \cite{Pneumoni23:online}. More than 250,000 individuals in the United States, mainly adult...
\section{Introduction}\label{s:intro} The {\sc Hamilton Cycle} problem is that of testing whether a given graph has a Hamilton cycle, i.e., a cycle passing through all the vertices. This problem is one of the most notorious ${\mathsf{NP}}$-complete problems within Theoretical Computer Science. It remains ${\mathsf{N...
\section{Appendices}\label{sec:appendix} \subsection{Implementation Details}\label{app:implemantation_details} \paragraph{Training setup} We employ the Adam optimizer with initial learning rate \(\eta= 2\mathrm{e}{-5}\), fine-tune for at most $5$ epochs, and use early-stopping to select the best model. We use a batc...
\section{Introduction} Filtration is a vital process in many industries, such as kidney dialysis \citep{lonsdale1982growth}, air purification \citep{barhate2007nanofibrous}, waste water treatment \citep{vandevivere1998review}, and beer production \citep{fillaudeau2002yeast}. Although the industrial applications may ...
\section{\@startsection {section}{1}{\z@}% {-3.5ex \@plus -1ex \@minus -.2ex {2.3ex \@plus.2ex}% {\normalfont\large\bfseries}} \renewcommand\subsection{\@startsection{subsection}{2}{\z@}% {-3.25ex\@plus -1ex \@minus -.2ex}% {1.5ex \@plus .2ex}% {\normalfont\bfseries}} \makeatother \allowdisplaybreaks \begin{doc...
\section{Introduction} \label{sec:intro} Optical fiber is a medium that exhibits frequency-dependent dispersion, nonlinearity, and noise, where one source of noise is distributed optical amplification (OA)~\cite{ekwfg-JLT10}. One obstacle to understand the capacity of optical fiber is that combining nonlinearity and OA...
\section{Introduction} Highly recurrent connectivity occurs throughout the brain. In the cortex, many circuits operate in a ``balanced state'' in which every neuron receives a large number of excitatory (E) and inhibitory (I) inputs. This creates synaptic currents that cancel on average but feature strong fluctu...
\section{Introduction} The number and diversity of the fields that make use of data analysis is rapidly increasing, from economics and marketing to medicine and neuroscience. In all of them, data is being collected at an astounding speed: databases are now measured in gigabytes and terabytes, including trillions of po...
\section{Introduction} Violation of the charge-parity~(CP) symmetry in the lepton sector has received attention in many aspects of low and high energy phenomena associated with non-zero neutrino mass and it's connection with matter-antimatter asymmetry. The aesthetic connection between low and high energy CP violation ...
\section{Stability analysis} \label{sec:3} This section is devoted to the stability analysis of our numerical scheme. Consider the fractional ordinary differential equation \eqref{pb} with right-hand side \begin{equation}\label{eigenpb} f(x,y)=-\lambda y, \qquad \lambda > 0. \end{equation} In this case, the scheme \eq...
\section{\bf Introduction and modeling \color{black}} In this paper we propose and analyze a model for phase separation and damage in a thermoviscoelastic body, occupying a spatial domain $\Omega \subset \mathbb{R}^d$, where $d\in \{2,3\}$. We shall \color{black} consider here a suitable weak formulation of the follo...
\section{Introduction} \label{sec:intro} Foggy and hazy weather brings huge troubles to the driving safety of vehicles, especially for automated vehicles equipped with color cameras and LiDARs. The dense-distributed atmospheric suspended particulates may cause low visibility and sensory noises, which results in degrad...
\section{Introduction} \label{Introduction} Inverse scattering plays an important role in non-destructive testing, medical imaging, geophysical exploration and numerous problems associated with target identification. There have been recent interests in inverse scattering for waveguides, mainly motivated by their nume...
\section{Supplementary Material for: An Extensive Experimental Evaluation of Automated Machine Learning Methods for Recommending Classification Algorithms} \label{sec:appendix} \setcounter{table}{0} \renewcommand{\thetable}{A\arabic{table}} \begin{table}[htbp] \scriptsize \centering \caption{Results of predictive...
\section{Introduction} \label{sec:intro} The aim of topological data analysis (TDA) is to provide methods for analyzing the complex topological and geometric structures underlying data. The data is assumed to be a finite set of points coming with a notion of distance, or similarity, between them. Given data, the topo...
\section{Proof of Theorem~\ref{thm:lowerbound} in Section~\ref{sec:lb}} \label{app:lb} The goal of this appendix is to prove Theorem~\ref{thm:lowerbound}, which we restate here for the reader's convenience. \ThmLB* We use the standard proof technique of reducing distinguishing two ``close" distributions to estimatio...
\section{Introduction} String Theory famously allows for an enormously large number of possible compactifications, giving rise to a huge Landscape of vacua and effective lower-dimensional models. The Swampland Program \cite{Ooguri:2006in,Brennan:2017rbf,Palti:2019pca,vanBeest:2021lhn,Grana:2021zvf} aims at finding gen...
\section{Introduction} The role of transversality in differential topology has a rich history. It is well known that non-transverse pullbacks need not exist in the category of manifolds, and when they do, they do not have the same cohomological properties one would expect of a good intersection. Derived manifolds gen...
\section{Introduction} There is considerable interest in physics with cold molecules because of their applications in a wide variety of areas, including quantum computing \cite{DeMille2002, Albert2020, Sawant2020}, quantum simulation of condensed matter systems \cite{Baranov2012,Bohn2017}, tests of fundamental laws of ...
\section{Introduction} We study stochastic systems whose agents are particles with random lifetimes, that move along the vertices of a finite graph. These systems, referred to as \textit{frog models}, are commonly idealized with the motivation of modeling the spreading of a rumor or epidemic through a population. Our ...
\section{Introduction} Although machine learning or artificial intelligence researchers know that we are not anywhere near the technique which could enable us to build a machine with real intelligence, almost all discussion about various properties of Intelligence stay on a philosophical level, such as the ability of l...
\section{Introduction} Nucleon charges quantify the coupling of nucleons to quark-level interactions and play an important role in the analysis of the Standard Model and Beyond the Standard Model (BSM) physics. The isovector charges, $g_X$, are associated with the $\beta$-decay of the neutron into a proton and are def...
\section{Introduction} The GlueX experiment at Thomas Jefferson National Accelerator Facility (Jefferson Lab) was designed to study the light quark meson spectrum and to search for exotic resonances. It uses a high-intensity linearly-polarized photon beam impinging on a liquid hydrogen target and is able to access a b...
\section{Introduction}\label{s1} \footnotetext {Research supported by the SFB 343 in Bielefeld by grant INTAS-RFBR 95-0099 and by grant RFBR-DFG 96-01-00096-ge. \newline\indent \,\,$^2$Research supported by the SFB 343 in Bielefeld, by the Russian Foundation of Basic Research, grant 96-01-00672, by grant INTA...
\section{Introduction} \justify The rise of $\beta$-Ga$_2$O$_3$ as a promising material for power electronic applications due to its extremely high breakdown field (8 MV/cm)\textsuperscript{\cite{pearton2018review, stepanov2016gallium}} and Baliga figure of merit (BFOM) has also provided impetus for the search of an ap...
\section{Introduction} The connection between free probability and random matrices, discovered by Voiculescu \cite{voiculescu1991limit}, is nowadays well-known and has found a broad range of applications. One could roughly summarize this connection as follows: large independent randomly rotated matrices behave like f...
\section{Introduction} In the age of data-driven computing, large-scale datasets have become a driving force for improving and differentiating the performance, robustness, and generality of machine learning algorithms. In recent years, the computer vision community have embraced a number of large and richly annotated...