@article{d786dcc803a84ee88de5e7001fc76e80,
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.",
keywords = "Braid groups, Conjugation-invariant norms, Hamiltonian diffeomorphisms, Quasimorphisms, Topological entropy",
author = "Michael Brandenbursky and Egor Shelukhin",
note = "Funding Information: MB was partially supported by the Simons CRM Scholar-in-Residence Program. MB wishes to express his gratitude to CRM for the support and excellent working conditions. ES was supported by an NSERC Discovery Grant, by the Fonds de recherche du Qu{\'e}bec—Nature et technologies and Fondation Courtois. We would like to thank the referee for a thorough reading of our paper and for his helpful comments and remarks. Publisher Copyright: {\textcopyright} 2020, Fondation Carl-Herz and Springer Nature Switzerland AG.",
year = "2021",
month = apr,
day = "1",
doi = "10.1007/s40316-020-00144-4",
language = "English",
volume = "45",
pages = "231--237",
journal = "Annales Mathematiques du Quebec",
issn = "2195-4755",
publisher = "Springer International Publishing AG",
number = "1",
}