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

Jean-Paul Thouvenot

doi:10.3934/jmd.2019016

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2019, Volume 15: 133-141. Doi: 10.3934/jmd.2019016 open access

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The work of Lewis Bowen on the entropy theory of non-amenable group actions (Brin Prize article)

Jean-Paul Thouvenot

Laboratoire de Probabilités, Statistique et Modélisation, Sorbonne Université, 4 Place Jussieu, 75252 Paris Cedex 05, France

Received: April 05, 2019

Published: May 2019

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Abstract

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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Mathematics Subject Classification: Primary: 37A35; Secondary: 37A15.

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