Thermodynamics and Energy

    

Troubles with Shannon’s Account of the Entropy in the Continuous Case

Authors: Arturo Tozzi

According to Shannon, the entropy for continuous stochastic processes has many properties analogous to the entropy for discrete processes. Nevertheless, there are some mathematical and physical problems with Shannon’s account. The obstacle arises in chapter 21 (Shannon 1948), when Shannon describes the continuous case of the entropy of ergodic ensemble of functions (i.e., the entropy of a set of functions together with a probability measure).

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[v1] 2021-05-10 20:58:21

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