The phase transition in the ultrametric ensemble and local stability of Dyson Brownian motion

DOI10.1214/18-EJP197zbMath1409.60025arXiv1705.00923MaRDI QIDQ1663898

Simone Warzel, Per von Soosten

Publication date: 24 August 2018

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00923

zbMATH Keywords

local statisticsDyson Brownian motionlocalization transitionultrametric ensemble

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Brownian motion (60J65) Random matrices (algebraic aspects) (15B52)

Related Items

Extreme gaps between eigenvalues of Wigner matrices ⋮ Eigenvectors of the square grid plus GUE ⋮ Localized phase for the Erdős-Rényi graph ⋮ Non-ergodic delocalization in the Rosenzweig-Porter model ⋮ Delocalization transition for critical Erdős-Rényi graphs ⋮ Random characteristics for Wigner matrices ⋮ Eigenvectors distribution and quantum unique ergodicity for deformed Wigner matrices ⋮ Delocalization and continuous spectrum for ultrametric random operators

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