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Shannon Meets Lyapunov: Connections between Information Theory and Dynamical Systems
Shannon Meets Lyapunov Connections between Information Theory Dynamical Systems
2015/7/6
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...
Information Theory and Statistical Mechanics Revisited
predictive statistical mechanics maximum entropy likelihood probability information entropy
2011/6/21
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...
How to use our talents based on Information Theory - or spending time wisely
talents based Information Theory time wisely
2010/10/19
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...