Realisation of measured dynamics as uniquely ergodic minimal homeomorphisms on manifolds

DOI10.1007/s00209-010-0786-2zbMath1268.37004arXiv0807.3260OpenAlexW2029275045MaRDI QIDQ663244

Sylvain Crovisier, Frédéric Le Roux, François Béguin

Publication date: 14 February 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3260

zbMATH Keywords

unique ergodicityminimal homeomorphismsmeasured dynamics

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (4)

The almost Borel structure of surface diffeomorphisms, Markov shifts and their factors ⋮ Bohr chaoticity of topological dynamical systems ⋮ A relative, strictly ergodic model theorem for infinite measure-preserving systems ⋮ Relatively weakly mixing models for dynamical systems

Cites Work

• Construction of curious minimal uniquely ergodic homeomorphisms on manifolds: the Denjoy–Rees technique
• Strictly ergodic models for dynamical systems
• Constructions in elliptic dynamics
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