Smooth singular flows in dimension 2 with the minimal self-joining property

DOI10.1007/s00605-008-0564-yzbMath1162.37003OpenAlexW1972754269MaRDI QIDQ1006433

Krzysztof Frączek, Mariusz Lemanczyk

Publication date: 24 March 2009

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0564-y

zbMATH Keywords

simplicityspecial flowsminimal self-joiningsjoiningssingular flows

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Flows on surfaces (37E35) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Related Items (6)

Centralizer and liftable centralizer of special flows over rotations ⋮ On isomorphism problem for von Neumann flows with one discontinuity ⋮ Cocycles over interval exchange transformations and multivalued Hamiltonian flows ⋮ Rigidity of a class of smooth singular flows on \(\mathbb{T}^2\) ⋮ A smooth mixing flow on a surface with nondegenerate fixed points ⋮ Spectral disjointness of rescalings of some surface flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariant measures and asymptotics for some skew products
• Horocycle flows, joinings and rigidity of products
• Crofton's function and inversion formulas in real integral geometry
• Mild mixing property for special flows under piecewise constant functions
• An example of a measure preserving map with minimal self-joinings, and applications
• A criterion for a process to be prime
• Zur Operatorenmethode in der klassischen Mechanik
• Rigidity of horocycle flows
• Invariant Radon measures for horocycle flows on Abelian covers
• Around simple dynamical systems. Induced joinings and multiple mixing
• A class of special flows over irrational rotations which is disjoint from mixing flows
• Factors of horocycle flows
• The structure of automorphisms of real suspension flows
• Piecewise Absolutely Continuous Cocycles Over Irrational Rotations
• A Simple Weakly Mixing Transformation with Nonunique Prime Factors
• Rokhlin extensions and lifting disjointness
• Semisimple extensions of irrational rotations
• On mild mixing of special flows over irrational rotations under piecewise smooth functions
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

This page was built for publication: Smooth singular flows in dimension 2 with the minimal self-joining property