2 papers
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…
math.DS2006
Maharam Extension for Nonsingular Group Actions
Parthanil Roy, Gennady Samorodnitsky
We establish a generalization of the Maharam Extension Theorem to nonsingular group actions. We also present an extension of Krengel Representation Theorem of dissipative transform…