Article Dans Une Revue Nonlinearity Année : 2001

Limit laws of entrance times for low complexity Cantor minimal systems

Résumé

This paper is devoted to the study of limit laws of entrance times to cylinder sets for Cantor minimal systems of zero entropy using their representation by means of ordered Bratteli diagrams. We study in detail substitution subshifts and we prove these limit laws are piecewise linear functions. The same kind of results is obtained for classical low complexity systems given by non stationary ordered Bratteli diagrams.

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hal-00309040 , version 1 (05-08-2008)

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Fabien Durand, Alejandro Maass. Limit laws of entrance times for low complexity Cantor minimal systems. Nonlinearity, 2001, 14, pp.683-700. ⟨hal-00309040⟩
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