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Interval maps with return index zero

Volume 276 / 2024

Maximilian Thaler Studia Mathematica 276 (2024), 271-292 MSC: Primary 37A40; Secondary 37E05 DOI: 10.4064/sm231120-18-3 Published online: 12 July 2024

Abstract

We present a family of two-to-one maps on the unit interval with a strongly infinite invariant measure, which covers a broad spectrum of pointwise dual ergodic transformations with slowly varying return sequences.

Authors

  • Maximilian ThalerDepartment of Mathematics
    University of Salzburg
    5020 Salzburg, Austria
    e-mail

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