Maharam Extension for Nonsingular Group Actions

We establish a generalization of the Maharam Extension Theorem to nonsingular group actions. We also present an extension of Krengel Representation Theorem of dissipative transformations to nonsingular actions

Decomposability for stable processes

We characterize all possible independent symmetric alpha-stable (SaS) components of an SaS process, 0<alpha<2. In particular, we focus on stationary SaS processes and their independent stationary SaS components. We also develop a parallel characterization theory for max-stable processes.Comment: Major revision. Section 4 of previous version removed due to a mistake in the proof. Remarks 3.2 and 3.3 adde