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math-ph2026
On a Rosenzweig-Porter-type model
Giorgio Cipolloni, László Erdős, Joscha Henheik
We consider a very general Rosenzweig-Porter-type model, , where is an arbitrary Hermitian matrix and is a standard Wigner matrix. We precisely trace the locali…
math-ph2024
Out-of-time-ordered correlators for Wigner matrices
Giorgio Cipolloni, László Erdős, Joscha Henheik
We consider the time evolution of the out-of-time-ordered correlator (OTOC) of two general observables and in a mean field chaotic quantum system described by a random Wign…
math-ph2007★ 142 cited
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
László Erdős, Benjamin Schlein, Horng-Tzer Yau
We consider Hermitian random matrices with i.i.d. entries. The matrix is normalized so that the average spacing between consecutive eigenvalues is of order . We st…