The orbital equivalence of Bernoulli actions and their Sinai factors
DOI10.3934/jmd.2021005zbMath1468.37006arXiv2005.02812OpenAlexW3133543904MaRDI QIDQ2026755
Publication date: 20 May 2021
Published in: Journal of Modern Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.02812
Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Nonsingular (and infinite-measure preserving) transformations (37A40) Relations between ergodic theory and number theory (37A44)
Related Items (6)
Cites Work
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- On the zero-one law for exchangeable events
- Poisson matching
- Abelian cocycles for nonsingular ergodic transformations and the genericity of type \(III_ 1\) transformations
- Explicit codes for some infinite entropy Bernoulli shifts
- On ergodic flows and the isomorphism of factors
- A class of finitary codes
- Bernoulli schemes of the same entropy are finitarily isomorphic
- On manifolds admitting stable type \(\mathrm{III}_1\) Anosov diffeomorphisms
- Bernoulli actions of type \(\mathrm{III}_{1}\) and \(L^2\)-cohomology
- On the \(K\) property for Maharam extensions of Bernoulli shifts and a question of Krengel
- Ergodicity and type of nonsingular Bernoulli actions
- Nonsingular Bernoulli actions of arbitrary Krieger type
- On absolutely continuous invariant measures and Krieger-type of Markov subshifts
- Fifty years of entropy in dynamics: 1958 -- 2007
- Extra heads and invariant allocations
- On equivalence of infinite product measures
- On a type III1Bernoulli shift
- Newton’s Laws and Coin Tossing
- Symmetric Measures on Cartesian Products
- On groups with full Banach mean value
- On Groups of Measure Preserving Transformations. I
- On the recurrence of sums of random variables
- Bernoulli shifts of the same entropy are finitarily and unilaterally isomorphic
- Translation-Equivariant Matchings of Coin Flips on ℤd
- On a Bernoulli shift with non-identical factor measures
- Approximately transitive flows and ITPFI factors
- Minimal self-joinings for nonsingular transformations
- An amenable equivalence relation is generated by a single transformation
- A Skew Product Entropy for Nonsingular Transformations
- The zero-type property and mixing of Bernoulli shifts
- Conservative Anosov diffeomorphisms of $T^2$ without an absolutely continuous invariant measure
- Some factors of nonsingular Bernoulli shifts
- K-property for Maharam extensions of non-singular Bernoulli and Markov shifts
- Incompressible transformations
- Generating stationary random graphs on ℤ with prescribed independent, identically distributed degrees
- On invariant measures
- Ergodic and Spectral Analysis of Certain Infinite Measure Preserving Transformations
- On Groups of Measure Preserving Transformations. II
- On Entropy and Generators of Measure-Preserving Transformations
- A classification of factors
- Generic non-singular Poisson suspension is of type III1
- Invariant measures
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