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2018 Ergodic Properties of Rational Functions that Preserve Lebesgue Measure on ℝ
Rachel L. Bayless
Real Anal. Exchange 43(1): 137-154 (2018). DOI: 10.14321/realanalexch.43.1.0137

Abstract

We prove that all negative generalized Boole transformations are conservative, exact, pointwise dual ergodic, and quasi-finite with respect to Lebesgue measure on the real line. We then provide a formula for computing the Krengel, Parry, and Poisson entropy of all conservative rational functions that preserve Lebesgue measure on the real line.

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Rachel L. Bayless. "Ergodic Properties of Rational Functions that Preserve Lebesgue Measure on ℝ." Real Anal. Exchange 43 (1) 137 - 154, 2018. https://doi.org/10.14321/realanalexch.43.1.0137

Information

Published: 2018
First available in Project Euclid: 2 May 2018

zbMATH: 06924878
MathSciNet: MR3816436
Digital Object Identifier: 10.14321/realanalexch.43.1.0137

Subjects:
Primary: 37A35 , 37A40

Keywords: Entropy , generalized Boole\\ transformations , Infinite measure , rational functions

Rights: Copyright © 2018 Michigan State University Press

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Vol.43 • No. 1 • 2018
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