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The entropy in dynamical systems was introduced by A. Kolmogorov. Initiallydedicated to iterations of one finite measure preserving transformation, thenotion was gradually generalized so as to encompass amenable group actions andtopological actions. L. Bowen (2008) succeeded in breaking the non-amenablefrontier by introducing the sofic entropy. This invariant provides the sameservices as the classical entropy for the measured actions of the sofic groups(a class which contains the residually finite groups). In 2010, D. Kerr et H.Li established a topological version together with a variational principle.

Sofic entropy, after Lewis Bowen, David Kerr and Hanfeng Li