On the critical dimension and AC entropy for Markov odometers
Dooley, A. H. and Mortiss, G., 2006. On the critical dimension and AC entropy for Markov odometers. Monatshefte fur Mathematik, 149 (3), pp. 193-213.
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Markov odometers are natural models for non-homogeneous Markov chains, and are natural generalisations of infinite product measures. We show how to calculate the critical dimension of these measures: this is an invariant which describes the asymptotic growth rate of sums of Radon-Nikodym derivatives. This interesting invariant appears to give a kind of entropy for non-singular odometer actions. The techniques require a law of large numbers for inhomogeneous Markov chains.
|Creators||Dooley, A. H.and Mortiss, G.|
|Departments||Faculty of Science > Mathematical Sciences|
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