Maximum entropy estimation of transition probabilities of reversible Markov chains

Details Maximum entropy estimation of transition probabilities of reversible Markov chains Maximum entropy estimation of transition probabilities of reversible Markov chains

2009-10-20

arxiv.org/abs/0910.3829v3

Entropy 11(4), 867 (2009)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

In this paper, we develop a general theory for the estimation of the transition probabilities of reversible Markov chains using the maximum entropy principle. A broad range of physical models can be studied within this approach. We use one-dimensional classical spin systems to illustrate the theoretical ideas. The examples studied in this paper are: the Ising model, the Potts model and the Blume-Emery-Griffiths model.

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