Rigidity Sequences of Power Rationally Weakly Mixing Transformations

2015/03/19 by Adams, Terrence M.
#37A40 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1503.05806

Abstract

We prove that a class of infinite measure preserving transformations, satisfying a "strong" weak mixing condition, generates all rigidity sequences of all conservative ergodic invertible measure preserving transformations defined on a Lebesgue σ-finite measure space.

Related

• On ergodic transformations that are both weakly mixing and uniformly rigid
• Mixing sets for rigid transformations
• Mixing and rigidity along asymptotically linearly independent sequences
• Coexistence of mixing and rigid behaviors in ergodic theory
• Power Weakly Mixing Infinite Transformations