A growth gap for diffeomorphisms of the interval

DOI10.1007/BF02787761zbMath1056.37027arXivmath/0203066MaRDI QIDQ1884393

Mikhail Sodin, Leonid Polterovich

Publication date: 1 November 2004

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203066

zbMATH Keywords

asymptotic behaviourgrowth sequenceGap Theoremorientation-preserving diffeomorphism

Mathematics Subject Classification ID

Orbit growth in dynamical systems (37C35) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (11)

Slow area-preserving diffeomorphisms of the torus ⋮ On centralizers of interval diffeomorphisms in critical (intermediate) regularity ⋮ On mixing diffeomorphisms of the disc ⋮ Entropy collapse versus entropy rigidity for Reeb and Finsler flows ⋮ On the spherical derivative of a rational function ⋮ Mather invariant, distortion, and conjugates for diffeomorphisms of the interval ⋮ Sharp regularity for certain nilpotent group actions on the interval ⋮ Periodic orbits of Hamiltonian homeomorphisms of surfaces ⋮ The rigidity of pseudo-rotations on the two-torus and a question of Norton-Sullivan ⋮ Approximate identities and Lagrangian Poincaré recurrence ⋮ (Un)distorted diffeomorphisms in different regularities

Cites Work

• Unnamed Item
• Feuilletage et difféomorphismes infiniment tangents à l'identité
• Growth of maps, distortion in groups and symplectic geometry
• On the asymptotic geometry of area-preserving maps
• Slow area-preserving diffeomorphisms of the torus
• Normal forms for certain singularities of vectorfields
• The word and Riemannian metrics on lattices of semisimple groups

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