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\section{Introduction}
Our main result is the following.
\begin{theorem}\label{thm:general_three_col}
For any planar convex body $C$ there is a positive integer $m=m(C)$ such that any finite point set $P$ in the plane can be three-colored in a way that there is no translate of $C$ containing at least $m$ points of $... | proofpile-arXiv_065-54 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
One of the most significant incentives for recent research on movement assessment, is the availability of affordable 3D skeleton recognition devices, such as Kinect, which redefine the target audience of applications that are based on user pose and movement. Addressing this problem is considered ... | proofpile-arXiv_065-150 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec: intro}
Gauge models with anomaly are interesting from different points of view.
First, there is a problem of consistent quantization for these models.
Due to anomaly some constraints change their nature after quantization:
instead of being first-class constraints, they turn into se... | proofpile-arXiv_065-366 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{ Introduction }
There has been a strong revival of interest, recently, in the physics
of magnetic vortices in type II and high-temperature superconductors
\cite{reviews}. Most research efforts have been devoted to phenomena
relating to the nature of the mixed phase of a superconductor in some
externally a... | proofpile-arXiv_065-369 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The precision data collected to date have confirmed the
Standard Model to be a good description of physics below
the electroweak scale \cite{Schaile}.
Despite of its great success, there are many reasons to believe
that some kind of new physics must exist. On the other hand, the
non-abelian st... | proofpile-arXiv_065-424 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{References}
| proofpile-arXiv_065-562 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Systems producing absorption in the spectra of distant quasars offer
an excellent probe of the early Universe. At high redshifts, they
easily outnumber other observed tracers of cosmic structure, including
both normal and active galaxies. Mounting evidence that
the high column density absorber... | proofpile-arXiv_065-612 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Many ``connection-dynamic'' theories of gravity with propagating torsion
have been proposed in the last decades. Contrary to the usual
Einstein-Cartan (EC) gravity\cite{hehl}, in such theories one could
in principle
have long-range torsion mediated interactions.
In the same period, we have also... | proofpile-arXiv_065-650 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Before we can use our Galaxy as a tool for the interaction of cosmic rays
and thermal material, we need to understand the origin of cosmic rays. The
origin of cosmic rays is still a question
\cite{CRA,CRB,Fermi49,Fermi54,G69,Hayakawa69,Venyabook} which is not finally
answered; however, alrea... | proofpile-arXiv_065-783 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The problem of transmission and storage of quantum states has received
a considerable amount of attention recently, owing to the flurry of
activity in the field of quantum computation~\cite{bib_reviews}
sparked by Shor's discovery of a quantum algorithm for
factoring~\cite{bib_shor}. In anticipat... | proofpile-arXiv_065-865 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
At energies $\sqrt{s} > 100$ AGeV, copious mini-jet production in central
nuclear collisions is expected \cite{mini,hotglue,eskola}
to be the main source of a very dense plasma of quarks and gluons with an
initial (proper) energy density an order
of magnitude above the deconfinement and chiral ... | proofpile-arXiv_065-979 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\noindent
Ever since the pioneering work of Schonfeld and Deser
et al.~\cite{schonfeld},
2+1 dimensional Chern-Simons (CS) theories have received
quite some attention.
The motivations to study these theories range from applications in
knot theory to applications in condensed matter systems suc... | proofpile-arXiv_065-982 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The observations of OSSE on the Compton Gamma Ray Observatory showing a break
or an exponential cut--off in the high energy spectrum of some Seyfert galaxies
(Maisack et al. 1993, Johnson et al. 1993, Madejski et al. 1995) coupled with
the X-ray observations of GINGA, have had a strong impact o... | proofpile-arXiv_065-1245 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Low-mass X-ray binary systems (LMXBs) consist of a central compact object (a neutron star or a black hole) accreting matter though an accretion disc from a low-mass (M$\le$1 M$_\odot$) donor star. According to the path they trace in an X-ray colour-colour diagram (CD) or hardness-intensity dia... | proofpile-arXiv_065-1432 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction} \label{sec:intro}
Perhaps the most distinguishing characteristic of
granular materials is their internal heterogeneity,
particularly when viewed at the micro-scale of
individual particles or particle clusters.
Granular materials often consist of a wide range of particle
sizes and shapes, and thes... | proofpile-arXiv_065-1477 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{Introduction}
Electrical breakdowns in general and vacuum electrical breakdowns, in particular, regain their important role in the development of modern technologies. The increasing usage of electric power in different environments inevitably leads to failure of surfaces facing electric fields. In vacuum, ev... | proofpile-arXiv_065-1602 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Evolutionary computing relies on the evolution of candidate solutions over a finite number of generations to obtain accurate solutions for complex optimization problems. Genetic Algorithms (GAs) and Particle Swarm Optimization (PSO), among other Bio-inspired algorithms (BAs), have been applied ... | proofpile-arXiv_065-1652 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:Introduction}
An integral part of Fritz Haake's scientific life was dedicated to the study of quantum chaos or, as he used to call it, {\em quantum signatures of chaos}~\cite{Haake18}. Among his many contributions to various aspects of quantum chaos, he and his co-workers' achievemen... | proofpile-arXiv_065-1658 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{INTRODUCTION} \label{sec:introduction}
Parity-violating physics in the early universe may cause an effect
known as cosmic birefringence, in which photons with different
polarizations travel differently along their propagation paths,
resulting in a net rotation on the polarization directions of cosmic
microwave... | proofpile-arXiv_065-1785 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
No one has missed the AI surge in the last decade. There is an ever-increasing number of AI applications available as enterprises across domains seek to harness the promises of AI technology. Enabled by the growing availability of data, most of the AI success stories in recent years originate in ... | proofpile-arXiv_065-1794 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The outcomes of high energy collider experiments depend to a large extent on event simulations obtained with MC generators. So do the planning and development of future machines and measurements \cite{Azzi:2019yne,Feng:2022inv,Mangano:2016jyj,LHeC:2020van,Proceedings:2020eah}. The baseline MC... | proofpile-arXiv_065-1936 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction \label{sec:intro}}
In the last few years solid state physics has increasingly benefited from
scientific computing and the significance of numerical techniques
is likely to keep on growing quickly in this field.
Because of the high complexity of solids, which are made of a huge number
of inter... | proofpile-arXiv_065-2304 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{intro}
The modulations of the X--ray flux in Low--Mass X--ray Binaries
(LMXBs) and their observed range in frequencies, from $\approx 300$~Hz
to $\approx 1200$~Hz (see van der Klis 2000; McClintock \& Remillard
2006; van der Klis, these proceedings, for reviews) strongly suggest
that dynam... | proofpile-arXiv_065-2409 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Strongly correlated electron systems with some orbitals
have been investigated extensively.\cite{ImadaRev,TokuraScience}
In particular, substantial progress in the theoretical
understanding of the Mott transition in multiorbital systems
has been made by dynamical mean-field theory (DMFT)
\cit... | proofpile-arXiv_065-2504 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{Acknowledgments}
\addcontentsline{toc}{section}{Acknowledgments}
\end{center}
I would like to thank my advisor Professor G.~R.~Farrar for the skills I learned, for the support and the patience with my written English. I am grateful to Slava, Francesco, Seba for helping me when it was needed. And, thank you E... | proofpile-arXiv_065-2622 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
In the past idealized models for turbulent fluctuations which can be found in the solar wind plasma
or in the interstellar medium have been proposed (e.g. Matthaeus et al. 1995). We are concerned
with statistically axisymmetric models of magnetostatic fluctuations $\delta \vec{B} (\vec{x})$ tha... | proofpile-arXiv_065-2637 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{\textsc{ACKNOWLEDGEMENTS}}
I would like to thank the people whom I have been
working with the last couple of years, and who have made this thesis
not only possible but also a joy to complete.
The biggest thanks goes to my supervisor {\AA}ke Nordlund;
without him there would be no thesis, and he has always bee... | proofpile-arXiv_065-2657 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction} \label{s1}
The most recent catalogue by Dias et~al. (2002) presents
data on 1537 Galactic open clusters. These are excellent
objects with which to probe the structure and evolution
of the Galactic disc. Since old and intermediate-age
open clusters cover the entire lifetime of the disc,
they allo... | proofpile-arXiv_065-2953 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{\label{sec:intro}Introduction}
The stress distribution in dry granular media have been studied for
more than a century. The German engineer Janssen studied the apparent
weight at the bottom of a silo as function of its filling
height \cite{pap:Janssen1895}.
Janssen found that the pressure at the bottom of a... | proofpile-arXiv_065-3122 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction.}
\label{sec0}
The properties of hybrid superconductor-normal metal structures (SN) continue
to attract considerable attention both experimentally~\cite{Gueron} and theoretically~\cite{Brouwer, Ossipov,
Golubov, Zhou, Ivanov, Bruder, Brouwer1, Ostrovsky}, though
the fundamental process governing ... | proofpile-arXiv_065-3221 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Suspended nanotubes form a interesting and promising system for
various nanoelectromechanical device setups and has been studied
both experimentally\cite{nygard01,leroy05,sapm05} and
theoretically\cite{kina03,jons04,jons05,sapm05,ustu05,izum05}.
Because of their large aspect ratio, nanotubes can... | proofpile-arXiv_065-3247 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Let $\hnabla$ be the standard flat affine connection on $\rea^{n+1}$ and fix a $\hnabla$-parallel volume form $\Psi$. Define $\H(F)$ by $\det \hess F = \H(F) \Psi^{\tensor 2}$. An immersed hypersurface $\Sigma$ in $\rea^{n+1}$ is \textit{nondegenerate} if its second fundamental form with respec... | proofpile-arXiv_065-3556 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Benchmarking is the process of analyzing key performance indicators with the aim of creating standards for comparing competing units \citep{bogetoft2010benchmarking}. Probabilistic benchmarks measure the probability of a unit falling into an interval along with the cumulative probability of exce... | proofpile-arXiv_065-3765 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{Introduction}
From recent observations and theoretical studies, it is believed that the first stars known as population~III~(Pop~III) stars played essential roles in the history of the cosmological structure formation.
As the first luminous objects in the Universe, they formed around a few ... | proofpile-arXiv_065-3874 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Breakage, also known as fragmentation, is a basic process that describes the dissociation of particles that may occur in a variety of scientific and technical fields, including chemical process engineering, astrophysics, atmospheric science, and cellular biology. Depending on the particle br... | proofpile-arXiv_065-4021 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Hamiltonian matrices arise in many applications related to
linear control theory for continuous-time systems \cite{Benner1}, quadratic eigenvalue problems \cite{Mermann1,Tiseur}. Deciding whether a certain Hamiltonian matrix $H$ has purely imaginary
eigenvalues is the most critical step in alg... | proofpile-arXiv_065-4201 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sc:Intro}
Parametric studies involving flows of industrial interest require robust computational fluid dynamics (CFD) solvers and efficient strategies to simulate multiple queries of the same problem.
Finite volume (FV) methods represent the most common approach in industry to perform fl... | proofpile-arXiv_065-4333 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Latent space models are popular tools for sampling from high dimensional distributions. Often, only a small number of latent factors are sufficient to describe data variations. These models exploit the underlying structure of the data and learn explicit representations that are faithful to the da... | proofpile-arXiv_065-4353 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:introduction}
Ground-based gravitational-wave observatories such as Advanced LIGO~\cite{AdvancedLIGO:2015} and Advanced Virgo~\cite{AdvancedVirgo:2015} are searching for persistent, periodic gravitational wave (GW) signals.
One of the key targets for these continuous-wave (CW) searche... | proofpile-arXiv_065-4543 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\subsection{Motivation and history.}
The Hecke orbit conjecture predicts that Hecke symmetries characterize the central foliation on Shimura varieties over an algebraically closed field $k$ of characteristic $p$. The conjecture predicts that on the mod $p$ reduction of a Shimura variety, any pr... | proofpile-arXiv_065-4554 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Data involving interactions between multiple entities can often be represented by multidimensional arrays, {\textit{i.e.,}}\xspace tensors, and are ubiquitous in practical applications. For example, a four-mode tensor \textit{(user, advertisement, web-page, device)} can be extracted from logs of ... | proofpile-arXiv_065-4667 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{Introduction}
The modeling of translational and rotational defects in solids, typically referred to as \emph{dislocations} and \emph{disclinations}, respectively, dates back to the pioneering work of Vito Volterra on the investigation of the equilibrium configurations of multiply connected bodies \cite{V07... | proofpile-arXiv_065-4676 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Two of the most fundamental primitives in information theory are privacy amplification and data compression with side information, both of which involve manipulating the correlations between two random variables $Z$ and $Y$. Privacy amplification is the art of extracting that part of $Z$ which i... | proofpile-arXiv_065-4789 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
In this paper we study local $\wp$-adic problems which have their origin in the famous work of Gross and Zagier~\cite{gross-zagier}. There, Gross and Zagier give a relation between a Heegner point of discriminant $D$ on $X_0(N)$ and the $L$-function attached to a modular newform $f$ of weight $2$... | proofpile-arXiv_065-4790 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Since its discovery in 1959, the Weibel instability \citep{wei59:wei,fri59:wei} has been, and continues to be, a subject of intense research. Part of this focus is due to the fact that the Weibel instability excites aperiodic fluctuations, i.\,e., purely growing waves that do not propagate out o... | proofpile-arXiv_065-4839 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{Intro}
The observation of the paleomagnetic data \cite{generale,core,CK95} have shown that, unlike the solar magnetic field, where the polarity reversals are strictly periodic, geomagnetic measurements of the last $160$ million years present rather sudden and occasional polarity reversal... | proofpile-arXiv_065-4927 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\indent
The existence of large scale magnetic fields in the universe has led to extensive studies of their behavior in
cosmological models \cite{T1}--\cite{B}. The observation by Marklund, Dunsby and Brodin \cite{M} that gravity
wave perturbations of Friedmann--Lema\^itre--Robertson--Walker cosm... | proofpile-arXiv_065-4972 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
In order to pursue new physics beyond the Standard Model (SM),
the Tevatron $p\bar{p}$ collider with $\sqrt{s}=1.96\,{\rm TeV}$ provides powerful approach with $b$ hadrons.
At the Tevatron $b$ quarks are pair-produced with enormous cross section~\cite{Aaltonen:2009xn}, which is three orders of ... | proofpile-arXiv_065-5026 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Distributions with a power-law tail have been found in various fields of
natural and social science.
Examples of such studies include, for instance, avalanche sizes in a sandpile model \cite{Bak},
fluctuations in the intervals of heartbeats \cite{Peng},
fish school sizes \cite{Bonabeau},
... | proofpile-arXiv_065-5170 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The motion group $G=SO(d)\ltimes {\mathbb R} ^d$ is the semi-direct product
of $SO(d)$, the group of rotations in the space ${\mathbb R} ^d$, and ${\mathbb R}
^d$. This group plays a special role in the study of random walks on
Lie groups \cite{GKR}. A Central Limit Theorem on motion groups has
b... | proofpile-arXiv_065-5274 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
String compactifications with background fluxes (see e.g. \cite{Grana:2005jc,Douglas:2006es,Blumenhagen:2006ci,Denef:2007pq} for reviews) provide a simple framework in which the stabilization of moduli fields can be discussed in a very controlled and natural way. A complete stabilization of all m... | proofpile-arXiv_065-5394 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The key idea of valleytronics is in using the valley index as an additional active degree of freedom of charge carriers~\cite{PhysRevLett.99.236809,PhysRevLett.108.196802} in gapped graphene~\cite{PhysRevLett.99.236809}, monolayers of transition metal dichalcogenides (TMDs)~\cite{PhysRevLett.108.... | proofpile-arXiv_065-5538 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction} \label{sec:intro}
The Triangulum Galaxy (M33) is one of two dwarf spirals in the Local Group \citep{Gaia_Co2021}. With a stellar mass of roughly $4.8 \times 10^{9}M_{\odot}$ \citep{corbelli2014}, it is ten times less massive than the Milky Way (MW) and Andromeda (M31) and twice as massive as the ... | proofpile-arXiv_065-5622 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\par Due to the advances of trigger-action platforms (e.g. IFTTT \cite{IFTTT2020}) in IoT domain, IoT networks become more vulnerable towards malicious event injection attacks. Since IoT devices create a chain of interactions maintaining functional dependencies between entities and actions \cite... | proofpile-arXiv_065-5640 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{sec-introduction}
Two-qubit gates with very low error rates are essential for making a practical quantum processor. In superconducting architectures~\cite{Devoret2013, Wendin2017, Kjaergaard2020_review}, such operations with fidelity approaching 99.9\% have already been demonstrated~\cite... | proofpile-arXiv_065-5671 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{}
Repulsive interactions in Fermi systems are at the heart of some of the most interesting phenomena in quantum many-body physics. For instance, the interplay between the spin and orbital degrees of freedom gives rise to Stoner's itinerant ferromagnetism in the continuum~\cite{Stoner_1933} and to the complex ... | proofpile-arXiv_065-5757 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:Introduction}
In functional magnetic resonance imaging (fMRI) studies of human brain, the connectivity matrices are often constructed using the Pearson correlation between the average blood-oxygen-level dependent (BOLD) signals between parcellations \cite{chung.2019.NN}. The whole... | proofpile-arXiv_065-5823 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:intro}
Bouncing Universe is an interesting alternative to inflation; for
reviews and general
discussion see, e.g.,
Refs.~\cite{Novello:2008ra,Lehners:2008vx,Lehners:2011kr,Battefeld:2014uga,Brandenberger:2016vhg,Ijjas:2018qbo}.
Its realization within classical field theory requires
t... | proofpile-arXiv_065-5879 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Classical derivation of the soliton growth rate}
\label{app:class}
In this appendix we derive the expression (\ref{eq:NsGen}) for the
soliton growth rate as the consequence of the classical equations of
motion. It is convenient to integrate out the gravitational potential
and rewrite the Schr\"odinger--Poisso... | proofpile-arXiv_065-5890 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:intro}
The kinetic theory of active particles(KTAP) \cite{bellomo2009complexity} provides a framework to describe large systems of interacting living particles on multiple scales.
Prominent examples of phenomena modeled in this setting include bacterial moveme... | proofpile-arXiv_065-5965 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction and statement of results}
Let $\Omega_1\subset\Omega_2\subset...\subset\Omega_{m+1}\subset {\bf R}^n$, $m\ge 1$, $n\ge 2$, be bounded, strictly convex domains with smooth boundaries $\Gamma_k=\partial\Omega_k$, $\Gamma_k\cap\Gamma_{k+1}=\emptyset$. Let also $\Omega_0\subset\Omega_1$ be a bounded ... | proofpile-arXiv_065-6204 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
We shall study a generalized eigenvalue problem under the form
\begin{equation}
\label{prob}
\sigma A(k) U = L(k) U
\end{equation}
where $L(k)$, $A(k)$
are operators (possibly unbounded) which depend smoothly on the real parameter $k$
on some Hilbert space $H$ with moreover $L(k)$ sy... | proofpile-arXiv_065-6283 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Due to their ubiquitous presence in everyday life, the importance of polymers can hardly be over estimated. Indeed, polymer science has had a major impact on the way we live. Just 50 years ago, materials we now take for granted did not exist at all. Due to their structural complexity, polymers a... | proofpile-arXiv_065-6303 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Consider a group of $K$ sensors measuring a common phenomenon, like weather. In this paper, we investigate a communication scenario in which some sensors desire to obtain measurements of the other nodes with the help of some existing relay nodes in the network. In the language of information theo... | proofpile-arXiv_065-6375 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Let $S_{g,p}$ be the orientable surface of genus $g$ with $p$
punctures. The set of essential simple closed curves on the surface
$S_{g,p}$ can be arranged into the curve complex
$\mathcal{C}=\mathcal{C}(S_{g,p})$. The combinatorics of this
intricate object is used in particular to study the mapp... | proofpile-arXiv_065-6421 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{\label{}}
\section{The CDMS experiment}
\label{sec:cdms_experiment}
The Cryogenic Dark Matter Search (CDMS) experiment is designed to search for WIMPs through their elastic scattering with nuclei. The experiment is located at the Soudan Undeground Lab at 2090 meters of water equivalent (m.w.e.) depth. Ninetee... | proofpile-arXiv_065-6646 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
A $k$-tree is a graph reducible to a $k$-clique by successive
removals of a vertex of degree $k$ whose neighbors form a
$k$-clique. This class of $k$-trees has been widely studied in
combinatorics (for enumeration and characteristic
properties~\cite{beineke_number_1969,rose_simple_1974}), in grap... | proofpile-arXiv_065-6952 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
We study the spectral stability of small-amplitude periodic traveling waves in scalar Hamiltonian partial differential equations:
\begin{equation}
u_t = \partial_x \frac{\delta H}{\delta u}\, .
\label{HPDE}
\end{equation}
Here
$$
u = u(x,t) = u(x+L,t), \quad x \in [0,L], \quad t > 0, \qquad \mbo... | proofpile-arXiv_065-7171 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
It has long been known that, according to our standard paradigm for the formation of cosmic structure, the clustering of dark matter haloes depends strongly on their mass \citep{kaiser_spatial_1984,efstathiou_gravitational_1988,mo_analytic_1996}.
At fixed mass, large simulations of $\Lambda$CDM ... | proofpile-arXiv_065-7388 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The study of fluctuating magnetic fields has found widespread application in a variety of disciplines. High-cadence (or effective sampling rate) magnetic field measurements have been used for magnetic-anomaly detection (MAD), which has numerous security applications, such as naval defense and un... | proofpile-arXiv_065-7413 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Let $\Omega$ be a domain in ${{\rm I\hspace{-0.2em}R}}^{2}$ with locally Lipschitz boundary and ${\cal O}=(0,0)\in \partial\Omega$
such that $\partial\Omega\setminus \{ {\cal O} \}$ is a $C^{4}$ curve and $\Omega\subset B_{1}\left(0,1\right),$
where $B_{\delta}\left({\cal N}\right)$ is... | proofpile-arXiv_065-7463 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{section:intro}
The field of \emph{compressed computation}---i.e. computation on compressed representations of the data without first fully decompressing it---is lately receiving much attention due to the ever-growing rate at which data is accumulating in archives such as the web or genomic... | proofpile-arXiv_065-7677 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The presence of a rigidly rotating magnetosphere in the early B-type stars HD\,23478 and HD\,345439
was recently discovered
in the Apache Point Observatory Galactic Evolution Experiment (APOGEE; \citealt{Eikenberry2014})
using high-resolution ($R\sim22\,500$) near-infrared H-band spectra. The a... | proofpile-arXiv_065-7692 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Abductive natural language inference ($\alpha$NLI) \citep{DBLP:conf/iclr/BhagavatulaBMSH20} is a newly established branch of natural language inference (NLI) and is an interesting task in the area of natural language processing (NLP) based commonsense reasoning. Originating from NLI which target... | proofpile-arXiv_065-7696 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
proofpile-arXiv_065-7908 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} | |
\section{introduction}
In contrast to bulk isotropic superconductors, where longitudinal
collective modes (i.e., plasmons) associated with the density fluctuation
response is virtually of no particular interest or significance in the
context of superconducting properties, there has been substantial
recent theoretical... | proofpile-arXiv_065-8011 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Simulating Tidal Interactions}
Why simulate interacting galaxies? First, simulations can {\it test
theoretical ideas\/}. Second, detailed simulations may help in
gaining {\it insight into real systems\/}. Third, simulations may
{\it constrain galaxy parameters\/} such as dark halo masses.
Simulation is no... | proofpile-arXiv_065-8050 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
In 1970, Kadomtsev and Petviashvili \cite{kadom} derived two equations as
generalizations of the Korteweg-de Vries (KdV) equation to two spatial
dimensions:
\renewcommand{\theequation}{\mbox{KP}}
\begin{equation}\la{kp}
\left(-4 u_t+6 u u_x+u_{xxx}\right)_x+3 \sigma^2 u_{yy}=0,
\end{equation}... | proofpile-arXiv_065-8139 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Finding a viable model for the formation of large scale structure
(LSS) is an important problem in cosmology.
Models with a minimal number of free parameters, such as standard
cold dark matter (sCDM) or standard cold plus hot, mixed
dark matter (sMDM) only marginally match observational
d... | proofpile-arXiv_065-8191 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{INTRODUCTION}
The response of nuclei to high excitations or temperatures has been a
subject of intense study both theoretically and experimentally for the
last several years. From theoretical
investigations of hot nuclear matter \cite{kup,jaq,ban}
and also of finite nuclei \cite{bon}, it has been suggested... | proofpile-arXiv_065-8283 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{introduction}
\setcounter{equation}{0}
The gauge structure of the Standard Model (SM) has two important
consequences in agreement with the experimental data: the proton
stability is ensured by a discrete baryon number symmetry, and there
are no tree-level flavor changing neutral current... | proofpile-arXiv_065-8569 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\subsection{Historical Remarks}
Binary systems are well known sources of periodic gravitational waves.
Indirect proof of the existence of gravitational waves emitted by binary pulsars
was given by Taylor \cite{1}. However, the direct observation of gravitational waves
still remains the unsolved... | proofpile-arXiv_065-8572 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The impressive experimental programme for the study of $B$ decays
carried out in recent years has improved our knowledge of the
Cabibbo-Kobayashi-Maskawa
(CKM) matrix and CP violations. In the next few years still more abundant
data is to come, especially from the dedicated B-factories Belle \... | proofpile-arXiv_065-8603 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\part{
\nabla_{\ell}(z)=z^{b_1+1} (a_1 + a_2 z^2+ \dots + a_d z^{2(d-1)}),}
where $z=t^{1/2}-t^{-1/2}$ and $b_1$ is the number of components of the link.
On the other hand, the torsion of $Y$ can be easily computed in terms of the
multivariable Conway function of the link, when the linking
matrix of the surgery present... | proofpile-arXiv_065-8927 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction.}
In the past few years there has been substantial progress in
understanding the origin of angular momentum transport in astrophysical
accretion disks (see the reviews by Papaloizou \& Lin 1995 and Balbus
\& Hawley 1998). In particular, the nature of transport by
magnetohydrodynamic (MHD) turbul... | proofpile-arXiv_065-8958 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{Acknowledgements} V.I.K. is grateful to Willi
Gruebler for supplying the full tables of experimental data of the
Z\"urich group. We are also grateful to the UK EPSRC for grant
GR/L22843 supporting S.G. Cooper, the Russian Foundation for Basic
Research (grant 97-02-17265) for financial assistance and to the ... | proofpile-arXiv_065-9191 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\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... | proofpile-arXiv_065-9202 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
LQ Hya (HD 82558) is a rapidly rotating
({\it v} sin{\it i} = 25 km s$^{-1}$), single K2 dwarf, classified as a
BY Dra variable (Fekel et al.~1986a; Fekel, Moffett \& Henry 1986b;
Strassmeier \& Hall 1988),
with a photometric rotational period of 1.600881 days (Strassmeier et al. 1997).
Its ... | proofpile-arXiv_065-9204 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{The Gamma Matrices}
\setcounter{equation}{0}
In this appendix we give our conventions for the gamma matrices. We
follow closely
the conventions of \cite{green}, however some relabeling of the
coordinates will be required.
The $32\times 32$ gamma matrices are in the Majorana representation
and are purely im... | proofpile-arXiv_065-9243 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Much attention has been paid in recent years to the nature of the
foregrounds which obscure our view of the background. This attention
has resulted in discoveries about the nature of the foregrounds as
well as methods for estimating CMB anisotropy from
foreground-contaminated data. From studyi... | proofpile-arXiv_065-9279 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{S1}
The classical Hardy and Rellich inequalities are estimates for differential operators on the spaces $L_p({\bf R}^d\backslash\{0\})$, $p\in\langle1,\infty\rangle$, for which the optimal constants are known.
Our intention is to derive similar estimates on $\Omega={\bf R}^d\backslash K... | proofpile-arXiv_065-9479 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The Lugiato-Lefever (LL) equation \cite{LL} in one and two dimensions (1D\
and 2D) is a fundamental model governing the dynamics of optical fields in
pumped lossy laser cavities with the intrinsic Kerr nonlinearity, which may
have self-focusing or defocusing sign. This equation is well known as ... | proofpile-arXiv_065-9486 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{sec:introduction}}
\section{Introduction}
\IEEEPARstart{D}{ynamic} mechanisms that drive nonlinear systems are universally complex and obscure. Straightforwardly, one can investigate the behavior of a system by discovering the patterns from its observations. In practice... | proofpile-arXiv_065-9744 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Kagome lattices are emerging as an exciting platform for the rich emergent
physics, including magnetism, charge density wave (CDW), topology, and
superconductivity \cite%
{kagome-01,kagome-04,kagome-05,kagome-03,kagome-06,mag-02,mag-03,mag-11,FeSn-03,FeSn-04,mag-01,mag-04,mag-09,mag-10,mag-05,m... | proofpile-arXiv_065-9787 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
This paper is concerned with the problem
\begin{equation}\label{leq}
\left\{
\begin{aligned}
&u_{xx}+{\lambda} f(u)=0, \quad x \in (-1,1) \setminus \{ 0 \},
\\
&u_x(-1)=u_x(1)=0,
\\
&u(-0)+au_x(-0)=u(+0)-au_x(+0),
\\
&u_x(-0)=u_x(+0),
\end{aligned}
\right.
\end{equation}
where ${\lambda}>0$ is... | proofpile-arXiv_065-9967 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Noise induced escapes from potential wells as well as noise driven transitions over potential barriers have been studied for a long time.
Pioneering works of Farkas \cite{farkas1927} and Kramers \cite{kramers1940} related the escape rate to the height of the potential barrier and the system temp... | proofpile-arXiv_065-9999 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:intro}
Wilkinson Microwave Anisotropy Probe (\textit{WMAP}\xspace, \cite{Bennett:2013}) observed the microwave sky in five frequency bands ranging from 23 to 91 \ifmmode $\,GHz$\else \,GHz\fi\ at a resolution which varies between 52\rlap{.}$^{\scriptstyle\prime}$\ to 12\rlap{.}$^{\scri... | proofpile-arXiv_065-10236 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\IEEEPARstart{O}{bject} detection is a fundamental problem in computer vision, which can be applied in instance segmentation, scene understanding, pose estimation, image captioning and multiple objects tracking (MOT), to name a few. Given an arbitrary image, the goal of object detection is to de... | proofpile-arXiv_065-10244 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:intro}
Images captured from whole sky imagers (WSIs) have been widely analyzed for various remote sensing applications such as radio-communications, climate analysis, and weather forecasting. These imagers provide images with high temporal and spatial resolution at low-cost as compared... | proofpile-arXiv_065-10316 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{Introduction}
The recently proved Razumov--Stroganov conjecture~\cite{RS-conj,ProofRS} is a correspondence between, on the one hand, combinatorially defined quantities called Fully Packed Loop (FPL) configurations, and on the other hand, components of the groundstate vector of the Hamiltonian in the Complete... | proofpile-arXiv_065-10416 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |