The work of Lewis Bowen on the entropy theory of non-amenable group actions | Zendy

JeanPaul Thouvenot | Zendy

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The work of Lewis Bowen on the entropy theory of non-amenable group actions

Author(s) -

JeanPaul Thouvenot

Publication year - 2019

Publication title -

journal of modern dynamics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.668

H-Index - 25

eISSN - 1930-532X

pISSN - 1930-5311

DOI - 10.3934/jmd.2019016

Subject(s) - mathematics , countable set , amenable group , bernoulli's principle , isomorphism (crystallography) , pure mathematics , entropy (arrow of time) , algebra over a field , discrete mathematics , chemistry , engineering , crystallography , aerospace engineering , physics , quantum mechanics , crystal structure

We present the achievements of Lewis Bowen, or, more precisely, his breakthrough works after which a theory started to develop. The focus will therefore be made here on the isomorphism problem for Bernoulli actions of countable non-amenable groups which he solved brilliantly in two remarkable papers. Here two invariants were introduced, which led to many developments.

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