2 papers
cond-mat.stat-mech2025
Eigenvector overlaps of sample covariance matrices with intersecting time periods
Volodymyr Riabov, Konstantin Tikhonov, Jean-Philippe Bouchaud
We compute exactly the overlap between the eigenvectors of two large empirical covariance matrices computed over intersecting time intervals, generalizing the results obtained prev…
math.PR2025
The Zigzag Strategy for Random Band Matrices
László ErdÅs, Volodymyr Riabov
We prove that a very general class of Hermitian random band matrices is in the delocalized phase when the band width exceeds the critical threshold, …