5.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- SupélecFR485 papers
- University of Applied Sciences and Arts of Southern SwitzerlandCH485 papers
- New York UniversityUS52 papers
- Google (United States)US16 papers
- Princeton UniversityUS15 papers
- Courant Institute of Mathematical SciencesUS13 papers
- Meta (Israel)IL11 papers
- Massachusetts Institute of TechnologyUS10 papers
- Stanford UniversityUS8 papers
- University of California, BerkeleyUS8 papers
- Cornell UniversityUS7 papers
- Carnegie Mellon UniversityUS6 papers
16 papers · 1 filter
On the Gaussian surface area of spectrahedra
Srinivasan Arunachalam, Oded Regev, Penghui Yao
We show that for sufficiently large and for some universal constant , a random spectrahedron with matrices drawn from Gaussian orthogonal ensemble has…
Splitting algorithm and normed convergence for drawing the random fractal Loewner curves
Jiaming Chen, Vlad Margarint
In the first part of the paper we propose and study the approximation of the trace via the Ninomiya-Victoir splitting algorithm. We prove the uniform convergence in probabi…
Dynamical Fractional and Multifractal Fields
Gabriel B. Apolinário, Laurent Chevillard, Jean-Christophe Mourrat
Motivated by the modeling of three-dimensional fluid turbulence, we define and study a class of stochastic partial differential equations (SPDEs) that are randomly stirred by a spa…
A quenched local limit theorem for stochastic flows
Alexander Dunlap, Yu Gu
We consider a particle undergoing Brownian motion in Euclidean space of any dimension, forced by a Gaussian random velocity field that is white in time and smooth in space. We show…
Exponential growth of random determinants beyond invariance
Gérard Ben Arous, Paul Bourgade, Benjamin McKenna
We give simple criteria to identify the exponential order of magnitude of the absolute value of the determinant for wide classes of random matrix models, not requiring the assumpti…
Edge Universality for Nonintersecting Brownian Bridges
Jiaoyang Huang
In this paper we study fluctuations of extreme particles of nonintersecting Brownian bridges starting from at time and ending at $b_1\leq b_…
Height Fluctuations of Random Lozenge Tilings Through Nonintersecting Random Walks
Jiaoyang Huang
In this paper we study height fluctuations of random lozenge tilings of polygonal domains on the triangular lattice through nonintersecting Bernoulli random walks. For a large clas…
A Dynamical Central Limit Theorem for Shallow Neural Networks
Zhengdao Chen, Grant M. Rotskoff, Joan Bruna +1
Recent theoretical works have characterized the dynamics of wide shallow neural networks trained via gradient descent in an asymptotic mean-field limit when the width tends towards…
Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman
Federico Camia, Daniel L. Stein
In the introduction to this volume, we discuss some of the highlights of the research career of Chuck Newman. This introduction is divided into two main sections, the first coverin…
Complex Solutions to Bessel SDEs and SLEs
Atul Shekhar, Vlad Margarint
We consider a variant of Bessel SDE by allowing the solution to be complex valued. Such SDEs appear naturally while studying the trace of Schramm-Loewner-Evolutions (SLE). We estab…
Universality of cutoff for the Ising model
Eyal Lubetzky, Allan Sly
On any locally-finite geometry, the stochastic Ising model is known to be contractive when the inverse-temperature is small enough, via classical results of Dobrushin and of Ho…
Harmonic pinnacles in the Discrete Gaussian model
Eyal Lubetzky, Fabio Martinelli, Allan Sly
The 2D Discrete Gaussian model gives each height function a probability proportional to , where is the inverse-temperatur…
Fluid Limits for Bandwidth-Sharing Networks with Rate Constraints
Maria Frolkova, Josh Reed, Bert Zwart
Bandwidth-sharing networks as introduced by Massoulié & Roberts (1998) model the dynamic interaction among an evolving population of elastic flows competing for several links. With…
A Limit Theorem for Products of Free Unitary Operators
Vladislav Kargin
This paper establishes necessary and sufficient conditions for the products of freely independent unitary operators to converge in distribution to the uniform law on the unit circl…
Poisson convergence for the largest eigenvalues of Heavy Tailed Random Matrices
Antonio Auffinger, Gerard Ben Arous, Sandrine Peche
We study the statistics of the largest eigenvalues of real symmetric and sample covariance matrices when the entries are heavy tailed. Extending the result obtained by Soshnikov in…
Gaussian free fields for mathematicians
Scott Sheffield
The d-dimensional Gaussian free field (GFF), also called the (Euclidean bosonic) massless free field, is a d-dimensional-time analog of Brownian motion. Just as Brownian motion is…