On extremes of random clusters and marked renewal cluster processes
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2022.52
Abstract: Abstract This article describes the limiting distribution of the extremes of observations that arrive in clusters. We start by studying the tail behaviour of an individual cluster, and then we apply the developed theory to… read more here.
Keywords: random clusters; cluster; extremes random; renewal cluster ... See more keywords
Universal scaling and criticality of extremes in random matrix theory.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.l022102
Abstract: We present a random matrix realization of a two-dimensional percolation model with the occupation probability p. We find that the behavior of the model is governed by the two first extreme eigenvalues. While the second… read more here.
Keywords: universal scaling; criticality extremes; criticality; random matrix ... See more keywords