5 citations · 15 across the 10 of their papers we have counts for
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math.PR2018
Applications of mesoscopic CLTs in random matrix theory
Benjamin Landon, Philippe Sosoe
We present some applications of central limit theorems on mesoscopic scales for random matrices. When combined with the recent theory of "homogenization" for Dyson Brownian Motion,…
math.PR2018
Central limit theorem near the critical temperature for the overlap in the 2-spin spherical SK model
Vu Lan Nguyen, Philippe Sosoe
We prove a central limit theorem for the normalized overlap between two replicas in the spherical SK model in the high temperature phase. The convergence holds almost surely with r…
math.PR2018
Fluctuations in first-passage percolation
Philippe Sosoe
We present a survey of techniques to obtain upper bounds for the variance of the passage time in first-passage percolation. The methods discussed are a combination of tools from th…