Mixing on Stochastic Staircase Transformations

2011/02/01 by Darren Creutz, Creutz, Darren
Mathematics · #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals #Primary 37A25 #Secondary 28D05

paper · pdf · doi:10.48550/arxiv.1102.0061

openalex publication_date 2011/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove mixing on a general class of rank-one transformations containing all known examples of rank-one mixing, including staircase transformations and Ornstein's constructions, and a variety of new constructions.

Related

• On Mixing Constructions with Algebraic Spacers
• On Mixing of Staircase Transformations
• Mixing on a class of rank one transformations
• Measure-Theoretically Mixing Subshifts with Low Complexity
• Weak mixing of maps with bounded cutting parameter