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

14.2k citations

Showing 2024Show all

12 papers · 1 filter

math.GT2024

On lens spaces bounding smooth 4-manifolds with

Woohyeok Jo, Jongil Park, Kyungbae Park

We study which lens spaces can bound smooth 4-manifolds with second Betti number one under various topological conditions. Specifically, we show that there are infinite families of…

math-ph2024★ 1 cited

Complex symmetric, self-dual, and Ginibre random matrices: Analytical results for three classes of bulk and edge statistics

Gernot Akemann, Noah Aygün, Mario Kieburg +1

Recently, a conjecture about the local bulk statistics of complex eigenvalues has been made based on numerics. It claims that there are only three universality classes, which have…

math.GR2024

The Pants Graph of a Free Group

Donggyun Seo

We introduce the concept of a pants decomposition for a finitely generated free group and construct the corresponding pants graph. A pants decomposition of a free group leads to th…

math.NA2024★ 4 cited

A Nonoverlapping Domain Decomposition Method for Extreme Learning Machines: Elliptic Problems

Chang-Ock Lee, Youngkyu Lee, Byungeun Ryoo

Extreme learning machine (ELM) is a methodology for solving partial differential equations (PDEs) using a single hidden layer feed-forward neural network. It presets the weight/bia…

math.GT2024

Cables of the figure-eight knot via real Frøyshov invariants

Sungkyung Kang, JungHwan Park, Masaki Taniguchi

We prove that the -cable of the figure-eight knot is not smoothly slice when is odd, by using the real Seiberg-Witten Frøyshov invariant of Konno-Miyazawa-Taniguchi. Fo…

math.AP2024

Measure-valued death state and local sensitivity analysis for Winfree models with uncertain high-order couplings

Seung-Yeal Ha, Myeongju Kang, Jaeyoung Yoon +1

We study the measure-valued death state and local sensitivity analysis of the Winfree model and its mean-field counterpart with uncertain high-order couplings. The Winfree model is…

math.AP2024★ 3 cited

On classification of global dynamics for energy-critical equivariant harmonic map heat flows and radial nonlinear heat equation

Kihyun Kim, Frank Merle

We consider the global dynamics of finite energy solutions to energy-critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that a…

math.NA2024★ 8 cited

Separable Physics-informed Neural Networks for Solving the BGK Model of the Boltzmann Equation

Jaemin Oh, Seung Yeon Cho, Seok-Bae Yun +2

In this study, we introduce a method based on Separable Physics-Informed Neural Networks (SPINNs) for effectively solving the BGK model of the Boltzmann equation. While the mesh-fr…

math.AP2024

Bourgain's counterexample in the sequential convergence problem for the Schrödinger equation

Chu-Hee Cho, Daniel Eceizabarrena

We study the problem of pointwise convegence for the Schrödinger operator on along time sequences. We show that the sharp counterexample to the sequential Schrödinger…

math.AG2024★ 1 cited

Quantum Lefschetz without curves

Jeongseok Oh, Richard P. Thomas

Given one quasi-smooth derived space cut out of another by a section of a 2-term complex of bundles, we give two formulae for its virtual cycle. They are modelled on the the -fi…

math.NT2024

Zagier-Hoffman's conjectures in positive characteristic II

Bo-Hae Im, Hojin Kim, Khac Nhuan Le +2

Zagier-Hoffman's conjectures predict the dimension and a basis for the -vector spaces spanned by th cyclotomic multiple zeta values (MZV's) of fixed weight where …

math.PR2024★ 1 cited

Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model with heavy-tailed interaction

Taegyun Kim, Ji Oon Lee

We consider the 2-spin spherical Sherrington--Kirkpatrick model without external magnetic field where the interactions between the spins are given as random variables with heavy-ta…