69 citations · 181 across the 24 of their papers we have counts for
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Spectral statistics of sparse Erdős-Rényi graph Laplacians
Jiaoyang Huang, Benjamin Landon
We consider the bulk eigenvalue statistics of Laplacian matrices of large Erdős-Rényi random graphs in the regime for any fixed . We prove a local law down to t…
Reflection probabilities of one-dimensional Schroedinger operators and scattering theory
Benjamin Landon, Jane Panangaden, Annalisa Panati +1
The dynamic reflection probability and the spectral reflection probability for a one-dimensional Schroedinger operator are characterized in terms of the scattering the…
Bulk universality of sparse random matrices
Jiaoyang Huang, Benjamin Landon, Horng-Tzer Yau
We consider the adjacency matrix of the ensemble of Erdős-Rényi random graphs which consists of graphs on vertices in which each edge occurs independently with probability .…
Convergence of local statistics of Dyson Brownian motion
Benjamin Landon, Horng-Tzer Yau
We analyze the rate of convergence of the local statistics of Dyson Brownian motion to the GOE/GUE for short times with deterministic initial data V . Our main result stat…
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…