On the spectral problems of Kolmogorov and Rokhlin in the class of mixing automorphisms

2024/07/01 by Valery V. Ryzhikov, Ryzhikov, Valery V.
Computer Science · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Control Systems and Analysis

paper · pdf · doi:10.48550/arxiv.2407.01514

openalex publication_date 2024/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let T be a staircase rank-one construction with parameters r_j ∼ j^d, 0

Related

• Mixing automorphisms not having the Kolmogorov spectral property
• Typical infinite mixing automorphisms are rank-one
• Unsolved problems on joinings, multiple mixing, spectrum, and rank
• Mixing on Stochastic Staircase Transformations
• Homogeneous spectrum, Disjointness of Convolutions, and Mixing Properties of Dynamical Systems