Bounded ergodic constructions, disjointness, and weak limits of powers

DOI10.1090/S0077-1554-2014-00214-4zbMath1327.37002MaRDI QIDQ2930854

V. V. Ryzhikov

Publication date: 20 November 2014

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Möbius functiondisjointness of dynamical systemsconstruction of rank oneergodic power of a transformation

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodicity, mixing, rates of mixing (37A25)

Related Items (8)

Möbius disjointness for models of an ergodic system and beyond ⋮ Special weak limits and simple spectrum of the tensor products of flows ⋮ Explicit rank-1 constructions for irrational rotations ⋮ A prime system with many self-joinings ⋮ Weakly homoclinic groups of ergodic actions ⋮ Measure-preserving rank one transformations ⋮ Disjointness of the Möbius transformation and Möbius function ⋮ On the asymmetry of multiple asymptotic properties of ergodic actions

Cites Work

• Simple spectrum of the tensor product of powers of a mixing automorphism
• Weakly mixing rank-one transformations conjugate to their squares
• Intertwinings of tensor products, and the stochastic centralizer of dynamical systems
• Spectral multiplicity for powers of weakly mixing automorphisms
• Disjointness of Moebius from Horocycle Flows
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

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