On asymmetry of the future and the past for limit self-joinings

DOI10.1090/S0002-9939-03-06796-0zbMath1024.37003MaRDI QIDQ4804052

O. N. Ageev

Publication date: 10 April 2003

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

zbMATH Keywords

positive operatorspolynomial operatorsjoiningsweak operator convergenceChacon's automorphismsubpolymorphisms

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Positive linear operators and order-bounded operators (47B65)

Related Items (3)

Bounded rank-1 transformations ⋮ Nonsingular \(\alpha \)-rigid maps ⋮ Weak limits of powers of Chacon’s automorphism

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Horocycle flows, joinings and rigidity of products
• Ergodic measure preserving transformations with arbitrary finite spectral multiplicities
• Chacon's automorphism has minimal self joinings
• An example of a measure preserving map with minimal self-joinings, and applications
• Mixing of all orders and pairwise independent joinings of systems with singular spectrum
• Transformations having homogeneous spectra
• On ergodic transformations with homogeneous spectrum
• A survey of recent results in the spectral theory of ergodic dynamical systems
• Dynamic theory of growth in groups: Entropy, boundaries, examples
• The commutant is the weak closure of the powers, for rank-1 transformations
• The spectral multiplicity function and geometric representations of interval exchange transformations
• On the spectrum of Cartesian powers of classical automorphisms

This page was built for publication: On asymmetry of the future and the past for limit self-joinings