On the entropy norm on Ham (S2)

Michael Brandenbursky; Egor Shelukhin

doi:10.1007/s40316-020-00144-4

On the entropy norm on Ham (S²)

Michael Brandenbursky, Egor Shelukhin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this note we prove that for each positive integer m there exists a bi-Lipschitz embedding Z^m→ Ham (S²) , where Ham (S²) is equipped with the entropy metric. In particular, the same result holds when the entropy metric is replaced with the autonomous metric.

Original language	English
Pages (from-to)	231-237
Number of pages	7
Journal	Annales Mathematiques du Quebec
Volume	45
Issue number	1
DOIs	https://doi.org/10.1007/s40316-020-00144-4
State	Published - 1 Apr 2021

Keywords

Braid groups
Conjugation-invariant norms
Hamiltonian diffeomorphisms
Quasimorphisms
Topological entropy

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s40316-020-00144-4

Cite this

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title = "On the entropy norm on Ham (S2)",

abstract = "In this note we prove that for each positive integer m there exists a bi-Lipschitz embedding Zm→ Ham (S2) , where Ham (S2) is equipped with the entropy metric. In particular, the same result holds when the entropy metric is replaced with the autonomous metric.",

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KW - Quasimorphisms

KW - Topological entropy

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