Interval maps with return index zero
Volume 276 / 2024
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.