14.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Seoul National UniversityKR254 papers
- California Institute of TechnologyUS181 papers
- Korea Institute of Science & Technology InformationKR179 papers
- University of FloridaUS179 papers
- Cardiff UniversityGB176 papers
- Max Planck Institute for Gravitational PhysicsDE176 papers
- University of Wisconsin–MilwaukeeUS176 papers
- Syracuse UniversityUS174 papers
- The University of MelbourneAU174 papers
- Inter-University Centre for Astronomy and AstrophysicsIN173 papers
- LIGO Scientific CollaborationUS173 papers
- Louisiana State UniversityUS173 papers
12 papers · 1 filter
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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 …
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…