output
20062026
most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

Showing 2020Show all

39 papers · 1 filter

math.AP2020★ 12 cited

The relativistic quantum Boltzmann equation near equilibrium

Gi-Chan Bae, Jin Woo Jang, Seok-Bae Yun

The relativistic quantum Boltzmann equation (or the relativistic Uehling-Uhlenbeck equation) describes the dynamics of single-species fast-moving quantum particles. With the recent…

math.PR2020★ 19 cited

Analytic theory of Itô-stochastic differential equations with non-smooth coefficients

Haesung Lee, Wilhelm Stannat, Gerald Trutnau

We present a detailed analysis of non-degenerate time-homogeneous Itô-stochastic differential equations with low local regularity assumptions on the coefficients. In particular the…

astro-ph.HE2020★ 51 cited

Diving below the spin-down limit: Constraints on gravitational waves from the energetic young pulsar PSR J0537-6910

The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration +1589

We present a search for continuous gravitational-wave signals from the young, energetic X-ray pulsar PSR J0537-6910 using data from the second and third observing runs of LIGO and…

gr-qc2020★ 71 cited

All-sky search in early O3 LIGO data for continuous gravitational-wave signals from unknown neutron stars in binary systems

The LIGO Scientific Collaboration, the Virgo Collaboration, R. Abbott +1369

Rapidly spinning neutron stars are promising sources of persistent, continuous gravitational waves. Detecting such a signal would allow probing of the physical properties of matter…

math.PR2020★ 8 cited

At the edge of a one-dimensional jellium

Djalil Chafaï, David García-Zelada, Paul Jung

We consider a one-dimensional classical Wigner jellium, not necessarily charge neutral, for which the electrons are allowed to exist beyond the support of the background charge. Th…

math.AP2020

Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations

Sangdon Jin, Jinmyoung Seok

We study the nonrelativistic limit of solitary waves from Nonlinear Maxwell-Klein-Gordon equations (NMKG) to Nonlinear Schrodinger-Poisson equations (NSP). It is known that the exi…

math.DS2020★ 22 cited

Emergent behaviors in group ring flocks

Seung-Yeal Ha, Hansol Park

We present a first-order aggregation model on a group ring, and study its asymptotic dynamics. In a positive coupling strength regime, we show that the flow generated by the propos…

math-ph2020★ 15 cited

Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics

Seung-Yeal Ha, Dohyun Kim, Hansol Park +1

We present constants of motion for the finite-dimensional Lohe type aggregation models with frustration and we apply them to analyze the emergence of collective behaviors. The Lohe…

math.AP2020★ 1 cited

Uniform Estimates in Periodic Homogenization of Fully Nonlinear Elliptic Equations

Sunghan Kim, Ki-Ahm Lee

This article is concerned with uniform and estimates in periodic homogenization of fully nonlinear elliptic equations. The analysis is based on the compactness…

math.GT2020★ 8 cited

Linear independence of rationally slice knots

Jennifer Hom, Sungkyung Kang, JungHwan Park +1

A knot in is rationally slice if it bounds a disk in a rational homology ball. We give an infinite family of rationally slice knots that are linearly independent in the knot…

math.AG2020★ 1 cited

On the first non-trivial strand of syzygies of projective schemes and Condition

Jeaman Ahn, Kangjin Han, Sijong Kwak

Let be any -dimensional closed subscheme. We are mainly interested in two notions related to syzygies: one is the property $\mathbf{N}_{d,p}~(d\ge 2,…

math.CO2020★ 5 cited

Rank connectivity and pivot-minors of graphs

Sang-il Oum

The cut-rank of a set in a graph is the rank of the submatrix of the adjacency matrix over the binary field. A split is a partition of the vertex set int…

math.PR2020★ 1 cited

Heat kernel upper bounds for symmetric Markov semigroups

Zhen-Qing Chen, Panki Kim, Takashi Kumagai +1

It is well known that Nash-type inequalities for symmetric Dirichlet forms are equivalent to on-diagonal heat kernel upper bounds for the associated symmetric Markov semigroups. In…

astro-ph.HE2020★ 39 cited

Search for Gravitational Waves Associated with Gamma-Ray Bursts Detected by Fermi and Swift During the LIGO-Virgo Run O3a

The LIGO Scientific Collaboration, the Virgo Collaboration, R. Abbott +1250

We search for gravitational-wave transients associated with gamma-ray bursts detected by the Fermi and Swift satellites during the first part of the third observing run of Advanced…

gr-qc2020★ 807 cited

Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog

The LIGO Scientific Collaboration, the Virgo Collaboration, R. Abbott +1344

Gravitational waves enable tests of general relativity in the highly dynamical and strong-field regime. Using events detected by LIGO-Virgo up to 1 October 2019, we evaluate the co…

gr-qc2020★ 2.4k cited

GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run

R. Abbott, T. D. Abbott, S. Abraham +1349

We report on gravitational wave discoveries from compact binary coalescences detected by Advanced LIGO and Advanced Virgo in the first half of the third observing run (O3a) between…

math.RT2020

Super duality for quantum affine algebras of type

Jae-Hoon Kwon, Sin-Myung Lee

We introduce a new approach to the study of finite-dimensional representations of the quantum group of the affine Lie superalgebra $\mathrm{L}\mathfrak{gl}_{M|N}=\mathbb{C}[t,t^{-1…

gr-qc2020★ 1.3k cited

GW190521: A Binary Black Hole Merger with a Total Mass of

The LIGO Scientific Collaboration, the Virgo Collaboration, R. Abbott +1253

On May 21, 2019 at 03:02:29 UTC Advanced LIGO and Advanced Virgo observed a short duration gravitational-wave signal, GW190521, with a three-detector network signal-to-noise ratio…

math.DG2020★ 1 cited

A new approach to the Fraser-Li conjecture with the Weierstrass representation formula

Jaehoon Lee, Eungbeom Yeon

In this paper, we provide a sufficient condition for a curve on a surface in to be given by an orthogonal intersection with a sphere. This result makes it possible t…

math.AP2020★ 13 cited

An intrinsic aggregation model on the special orthogonal group : well-posedness and collective behaviours

Razvan C. Fetecau, Seung-Yeal Ha, Hansol Park

We investigate an aggregation model with intrinsic interactions on the special orthogonal group . We consider a smooth interaction potential that depends on the squared intr…

q-fin.ST2020★ 1 cited

Investigation of Flash Crash via Topological Data Analysis

Wonse Kim, Younng-Jin Kim, Gihyun Lee +1

Topological data analysis has been acknowledged as one of the most successful mathematical data analytic methodologies in various fields including medicine, genetics, and image ana…

math-ph2020★ 6 cited

Emergent dynamics of the Lohe Hermitian sphere model with frustration

Seung-Yeal Ha, Myeongju Kang, Hansol Park

We study emergent dynamics of the Lohe hermitian sphere(LHS) model which can be derived from the Lohe tensor model \cite{H-P2} as a complex counterpart of the Lohe sphere(LS) model…

math.RT2020★ 4 cited

Combinatorial Howe duality of symplectic type

Taehyeok Heo, Jae-Hoon Kwon

We give a new combinatorial interpretation of Howe dual pairs of the form $(\g,{\rm Sp}_{2\ell})$, where $\g$ is a Lie (super)algebra of classical type. This is done by establishin…

math.DG2020

Central limit theorem of Brownian motions in pinched negative curvature

Jaelin Kim

We prove the central limit theorem of random variables induced by distances to Brownian paths and Green functions on the universal cover of Riemannian manifolds of finite volume wi…