Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems

Details Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems

2008-01-30

arxiv.org/abs/0801.4616v1

Journal of the London Mathematical Society 67, 3 (2003) 790-804

Mathematics

Dynamical Systems

Scientific paper

The class of linearly recurrent Cantor systems contains the substitution
subshifts and some odometers. For substitution subshifts and odometers
measure--theoretical and continuous eigenvalues are the same. It is natural to
ask whether this rigidity property remains true for the class of linearly
recurrent Cantor systems. We give partial answers to this question.

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