Entropy and its many Avatars

Srinivasa R.S. Varadhan

doi:10.2969/jmsj/06741845

Entropy and its many Avatars

Srinivasa R.S. Varadhan

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	1845-1857
Number of pages	13
Journal	Journal of the Mathematical Society of Japan
Volume	67
Issue number	4
DOIs	https://doi.org/10.2969/jmsj/06741845
State	Published - 2015

Keywords

Entropy
Information
Large deviations

ASJC Scopus subject areas

General Mathematics

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10.2969/jmsj/06741845

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Entropy and its many Avatars

Abstract

Keywords

ASJC Scopus subject areas

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