Parthanil Roy

activity

20062022

most citedErgodic properties of sum- and max-stable stationary random fields via null and positive group actions

32 citations · 58 across the 17 of their papers we have counts for

collaborators

Showing 2009 · math.PRShow all

2 papers · 2 filters

math.PR2009★ 32 cited

Ergodic properties of sum- and max-stable stationary random fields via null and positive group actions

Yizao Wang, Parthanil Roy, Stilian A. Stoev

We establish characterization results for the ergodicity of stationary symmetric $α$ -stable (S $α$ S) and $α$ -Frechet random fields. We show that the result of Samorodnitsky [Ann. Pr…

math.PR2009

Nonsingular Group Actions and Stationary S alpha S Random Fields

Parthanil Roy

This paper deals with measurable stationary symmetric stable random fields indexed by R^d and their relationship with the ergodic theory of nonsingular R^d-actions. Based on the ph…