02-372 Edgardo Ugalde

Eigenvalue equation for the entropy of 2--d Markov shifts (186K, Ppostscript) Sep 11, 02

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Abstract. We find conditions ensuring that the topological entropy of a two-dimensional Markov shifts is an eigenvalue, provided the associated eigenvalue problem has a positive solution. This problem is in general a nonlinear one. We construct explicit examples where our conditions hold, so that the entropy is an eigenvalue associated to a linear problem.

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