Decomposability for stable processes

Abstract

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.

Major revision. Section 4 of previous version removed due to a mistake in the proof. Remarks 3.2 and 3.3 added

References in corpus (2)

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