Poincaré's 1906 kinetic theory paper, connected to his 1890 chaos results, grounds statistical-mechanical probability in uncertain initial conditions and first uses the terms fine- and coarse-grained entropy.
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Poincar\'e on Gibbs and on Probability in Statistical Mechanics
Poincaré's 1906 kinetic theory paper, connected to his 1890 chaos results, grounds statistical-mechanical probability in uncertain initial conditions and first uses the terms fine- and coarse-grained entropy.