October  2007, 1(4): 545-596. doi: 10.3934/jmd.2007.1.545

Fifty years of entropy in dynamics: 1958--2007


Department of Mathematics, The Pennsylvania State University, University Park, PA 16802

Received  April 2007 Published  July 2007

These notes combine an analysis of what the author considers (admittedly subjectively) as the most important trends and developments related to the notion of entropy, with information of more “historical” nature including allusions to certain episodes and discussion of attitudes and contributions of various participants. I directly participated in many of those developments for the last forty three or forty four years of the fifty-year period under discussion and on numerous occasions was fairly close to the center of action. Thus, there is also an element of personal recollections with all attendant peculiarities of this genre.

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Citation: Anatole Katok. Fifty years of entropy in dynamics: 1958--2007. Journal of Modern Dynamics, 2007, 1 (4) : 545-596. doi: 10.3934/jmd.2007.1.545

Mark F. Demers. Uniqueness and exponential mixing for the measure of maximal entropy for piecewise hyperbolic maps. Discrete & Continuous Dynamical Systems - A, 2021, 41 (1) : 217-256. doi: 10.3934/dcds.2020217

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