Cohomological equations and invariant distributions for minimal circle diffeomorphisms

DOI10.1215/00127094-1345662zbMath1225.37052arXiv1002.3392OpenAlexW2964196195MaRDI QIDQ551220

Artur Avila, Alejandro Kocsard

Publication date: 14 July 2011

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3392

zbMATH Keywords

rotation numbercohomological equationscircle diffeomorphismsinvariant distribution

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (12)

On the cohomological equation of a linear contraction ⋮ Invariant distributions for homogeneous flows and affine transformations ⋮ On cohomological \(C^0\)-(in)stability ⋮ Automorphic measures and invariant distributions for circle dynamics ⋮ Semiclassical limits, Lagrangian states and coboundary equations ⋮ On the invariant distributions of \(C^2\) circle diffeomorphisms of irrational rotation number ⋮ On the centralizer of vector fields: criteria of triviality and genericity results ⋮ Linear response, and consequences for differentiability of statistical quantities and multifractal analysis ⋮ Cohomological equations and invariant distributions for minimal circle diffeomorphisms ⋮ Kinematic expansive flows ⋮ Dynamics of multicritical circle maps ⋮ A geometric path from zero Lyapunov exponents to rotation cocycles

Cites Work

• Cohomological equations and invariant distributions for minimal circle diffeomorphisms
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Groups acting on the circle.
• Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne
• Actions de groupes de Kazhdan sur le cercle
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Cohomological equations and invariant distributions for minimal circle diffeomorphisms