18 citations · 27 across the 4 of their papers we have counts for
4 papers
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…
Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs
Jiaoyang Huang, Benjamin Landon, Horng-Tzer Yau
We consider the statistics of the extreme eigenvalues of sparse random matrices, a class of random matrices that includes the normalized adjacency matrices of the Erdős-Rényi graph…
Edge statistics of Dyson Brownian motion
Benjamin Landon, Horng-Tzer Yau
We consider the edge statistics of Dyson Brownian motion with deterministic initial data. Our main result states that if the initial data has a spectral edge with rough square root…
Entropic fluctuations of XY quantum spin chains
Benjamin Landon
We consider an XY quantum spin chain that consists of a left, center and right part initially at thermal equilibrium at temperatures , , and , respectively. The left…