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Effective equidistribution of periodic orbits for subshifts of finite type

Volume 149 / 2017

Shirali Kadyrov Colloquium Mathematicum 149 (2017), 93-101 MSC: Primary 37A35, 37D20; Secondary 28D20, 37D05. DOI: 10.4064/cm6653-9-2016 Published online: 21 April 2017

Abstract

We study equidistribution of certain subsets of periodic orbits for subshifts of finite type. Our results solely rely on the growth of these subsets. As a consequence, effective equidistribution results are obtained for both hyperbolic diffeomorphisms and expanding maps on compact manifolds.

Authors

  • Shirali KadyrovDepartment of Mathematics
    Nazarbayev University
    Astana, Kazakhstan
    e-mail

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