Bulk eigenvalue statistics for random regular graphs
We consider the uniform random d-regular graph on N vertices, with d∈N^α,N^2/3-α for
arbitrary α>0. We prove that in the bulk of the spectrum the local eigenvalue correlation …
arbitrary α>0. We prove that in the bulk of the spectrum the local eigenvalue correlation …
The Loschmidt spectral form factor
A bstract The Spectral Form Factor (SFF) measures the fluctuations in the density of states of
a Hamiltonian. We consider a generalization of the SFF called the Loschmidt Spectral Form …
a Hamiltonian. We consider a generalization of the SFF called the Loschmidt Spectral Form …