5.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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5 papers · 2 filters
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…