Limit laws of entrance times for low complexity Cantor minimal systems

Details Limit laws of entrance times for low complexity Cantor minimal systems Limit laws of entrance times for low complexity Cantor minimal systems

2008-08-05

arxiv.org/abs/0808.0602v1

Nonlinearity 14 (2001) 683-700

Mathematics

Dynamical Systems

Scientific paper

10.1088/0951-7715/14/4/302

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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