Nonsingular Group Actions and Stationary S alpha S Random Fields
Probability
2009-10-13 v1 Dynamical Systems
Abstract
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 phenomenal work of Rosinski(2000), we establish extensions of some structure results of stationary S alpha S processes to S\alpha S fields. Depending on the ergodic theoretical nature of the underlying action, we observe different behaviors of the extremes of the field.
Keywords
Cite
@article{arxiv.0910.2186,
title = {Nonsingular Group Actions and Stationary S alpha S Random Fields},
author = {Parthanil Roy},
journal= {arXiv preprint arXiv:0910.2186},
year = {2009}
}