18 citations · 33 across the 7 of their papers we have counts for
8 papers · 1 filter
Tail bounds for the O'Connell-Yor polymer
Benjamin Landon, Philippe Sosoe
We derive upper and lower bounds for the upper and lower tails of the O'Connell-Yor polymer of the correct order of magnitude via probabilistic and geometric techniques in the mode…
Almost-optimal bulk regularity conditions in the CLT for Wigner matrices
Benjamin Landon, Philippe Sosoe
We consider linear spectral statistics of the form for test functions of low regularity and Wigner matrices with smooth entry distribution. We show th…
Edge scaling limit of Dyson Brownian motion at equilibrium for general
Benjamin Landon
For general , we consider Dyson Brownian motion at equilibrium and prove convergence of the extremal particles to an ensemble of continuous sample paths in the limit $N \t…
Fluctuations of the overlap at low temperature in the 2-spin spherical SK model
Benjamin Landon, Philippe Sosoe
We describe the fluctuations of the overlap between two replicas in the 2-spin spherical SK model about its limiting value in the low temperature phase. We show that the fluctuatio…
Comparison theorem for some extremal eigenvalue statistics
Benjamin Landon, Patrick Lopatto, Jake Marcinek
We introduce a method for the comparison of some extremal eigenvalue statistics of random matrices. For example, it allows one to compare the maximal eigenvalue gap in the bulk of…
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,…