Smorodinsky’s conjecture on rank-one mixing

DOI10.1090/S0002-9939-98-04082-9zbMath0906.28006WikidataQ123020296 ScholiaQ123020296MaRDI QIDQ4383054

Terrence M. Adams

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

mixing transformationrank one transformationstaircase constructionSmorodinsky's conjecture

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items (27)

New spectral multiplicities for mixing transformations ⋮ Infinite type flat surface models of ergodic systems ⋮ Mixing actions of the Heisenberg group ⋮ On Mixing-Like Notions in Infinite Measure ⋮ Dynamical properties of minimal Ferenczi subshifts ⋮ Joint ergodicity of piecewise monotone interval maps ⋮ Measure-theoretically mixing subshifts with low complexity ⋮ Mixing flows with homogeneous spectrum of multiplicity 2 ⋮ Topological factors of rank-one subshifts ⋮ On spectral disjointness of powers for rank-one transformations and Möbius orthogonality ⋮ Topological mixing properties of rank‐one subshifts ⋮ Mixing with staircase multiplicity functions ⋮ Mixing constructions with infinite invariant measure and spectral multiplicities ⋮ Mixing and weakly mixing abelian subalgebras of type \(\mathrm{II}_{1}\) factors ⋮ A survey on spectral multiplicities of ergodic actions ⋮ Mixing rank-one actions for infinite sums of finite groups ⋮ On the spectral and mixing properties of rank-one constructions in ergodic theory ⋮ ASYMPTOTICS FOR RETURN TIMES OF RANK-ONE SYSTEMS ⋮ A new class of rank-one transformations with singular spectrum ⋮ Rank one and mixing differentiable flows ⋮ Fusion: a general framework for hierarchical tilings of \(\mathbb{R }^d\) ⋮ Product of two staircase rank one transformations that is not loosely Bernoulli ⋮ Mixing on stochastic staircase tansformations ⋮ Measure-preserving rank one transformations ⋮ Simple spectrum of the tensor product of powers of a mixing automorphism ⋮ Finite rank Bratteli diagrams: Structure of invariant measures ⋮ Littlewood polynomials and applications of them in the spectral theory of dynamical systems

Cites Work

• Unnamed Item
• Joining-rank and the structure of finite rank mixing transformations
• Joinings and multiple mixing of finite rank actions
• The spectral type of the staircase transformation
• On the mean ergodic theorem for subsequences
• Twofold mixing implies threefold mixing for rank one transformations
• Mixing on Sequences
• The Maximal Spectral Type of a Rank One Transformation

This page was built for publication: Smorodinsky’s conjecture on rank-one mixing