Entropy and quasimorphisms

DOI10.3934/jmd.2019017zbMath1443.37021arXiv1707.06020OpenAlexW2952868572MaRDI QIDQ2289403

Michael Brandenbursky, Michał Marcinkowski

Publication date: 28 January 2020

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06020

zbMATH Keywords

topological entropymapping class groupsquasimorphismsarea-preserving mapHamiltonian diffeomorphismsBraid groupsconjugation-invariant norms

Mathematics Subject Classification ID

Geometric group theory (20F65) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Entropy in general topology (54C70) Topological entropy (37B40) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (9)

Bounded cohomology of transformation groups ⋮ The Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms ⋮ Fragmentation norm and relative quasimorphisms ⋮ Hofer's geometry and topological entropy ⋮ \(C^0\)-gap between entropy-zero Hamiltonians and autonomous diffeomorphisms of surfaces ⋮ Quasi-morphisms on surface diffeomorphism groups ⋮ On the entropy norm on \(\text{Ham}(S^2)\) ⋮ Non-autonomous curves on surfaces ⋮ On the entropy norm on the group of diffeomorphisms of closed oriented surface

Cites Work

• The end of the curve complex
• On the uniform perfectness of the groups of diffeomorphisms of even-dimensional manifolds
• On the \(L^p\)-geometry of autonomous Hamiltonian diffeomorphisms of surfaces
• Autonomous Hamiltonian flows, Hofer's geometry and persistence modules
• scl.
• Volume growth and entropy
• Entropy of continuous flows on compact 2-manifolds
• Geometry of the complex of curves. I: Hyperbolicity
• Bounded cohomology of subgroups of mapping class groups
• On the autonomous metric on the group of area-preserving diffeomorphisms of the 2-disc
• Quasi-morphisms on the group of area-preserving diffeomorphisms of the 2-disk via braid groups
• Book Review: Thurston’s work on surfaces
• On Continuity of Quasimorphisms for Symplectic Maps
• Bi-invariant metrics and quasi-morphisms on groups of Hamiltonian diffeomorphisms of surfaces
• ON QUASI-MORPHISMS FROM KNOT AND BRAID INVARIANTS
• Conjugation-invariant norms on groups of geometric origin
• Dynamical cocycles with values in the Artin braid group
• On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus
• Commutators and diffeomorphisms of surfaces
• Mapping class groups and their relationship to braid groups
• Entropy for Group Endomorphisms and Homogeneous Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Entropy and quasimorphisms