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arXiv · 0910.2186

Nonsingular Group Actions and Stationary S alpha S Random Fields

Parthanil Roy
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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 SαS fields. Depending on the ergodic theoretical nature of the underlying action, we observe different behaviors of the extremes of the field.

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Parthanil Roy. 2009-10-12. Nonsingular Group Actions and Stationary S alpha S Random Fields. https://arxiv.org/abs/0910.2186

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