Analytic uniquely ergodic volume preserving maps on odd spheres

DOI10.4171/CMH/341zbMath1336.37021arXiv1309.3137OpenAlexW2963759273MaRDI QIDQ484265

Anatole Katok, Bassam Fayad

Publication date: 6 January 2015

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3137

zbMATH Keywords

uniquely ergodicAnosov-Katok approximation conjugation methodreal-analytic diffeomorphisms

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Analytic spaces (32C99)

Related Items (9)

On mixing diffeomorphisms of the disc ⋮ Analytic weakly mixing diffeomorphisms on odd dimensional spheres ⋮ Real-analytic realization of uniform circular systems and some applications ⋮ Feral curves and minimal sets ⋮ Non-standard real-analytic realizations of some rotations of the circle ⋮ Real-analytic weak mixing diffeomorphisms preserving a measurable Riemannian metric ⋮ Anatole Katok ⋮ A dynamical decomposition of the torus into pseudo-circles ⋮ Real-analytic AbC constructions on the torus

Cites Work

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• Conditional stability and real analytic pseudo-Anosov maps
• Analytic mixing reparametrizations of irrational flows
• Constructions in elliptic dynamics
• Non-standard smooth realizations of Liouville rotations

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