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This paper explores connections between Information Theory, Lyapunov exponents for products of random matrices, and hidden Markov models. Specifically, we will show that entropies associated with fini...
The statistical mechanics of Gibbs is a juxtaposition of subjective, probabilistic ideas on the one hand and objective, mechanical ideas on the other. From the mechanics point of view, the term ‘stat...
We discuss the allocation of finite resources in the presence of a logarithmic diminishing return law, in analogy to some results from Information Theory. To exemplify the problem we assume that the ...
This set of lecture notes is a much expanded version of lecture notes developed and used by the first author in courses at Stanford University from 1981 to 1984 and more recently beginning in 2002. T...

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