Abstract
Entropy was first introduced in 1865 by Rudolf Clausius in his study of the connection between work and heat. A mathematical definition was given by Boltzmann as the logarithm of the number of micro states that corresponds to a macro state. It plays important roles in statistical mechanics, in the theory of large deviations in probability, as an invariant in ergodic theory and as a useful tool in communication theory. This article explores some of the connections between these different contexts.
Citation
Srinivasa R. S. VARADHAN. "Entropy and its many Avatars." J. Math. Soc. Japan 67 (4) 1845 - 1857, October, 2015. https://doi.org/10.2969/jmsj/06741845
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