A special class of infinite measure-preserving quadratic rational maps

DOI10.1080/14689367.2018.1494266zbMath1420.37027OpenAlexW2810952944MaRDI QIDQ5742430

Jane M. Hawkins, Rachel Bayless-Rossetti

Publication date: 14 May 2019

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2018.1494266

zbMATH Keywords

Julia setscomplex dynamicsinfinite measure

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of real functions in one variable (26A18)

Related Items (2)

The two-dimensional Boole-type transform and its ergodicity ⋮ Isomorphisms of cubic rational maps that preserve an infinite measure

Cites Work

• The ergodic infinite measure preserving transformation of Boole
• The generalized Boole's transformation is ergodic
• Hausdorff dimension and conformal dynamics. II: Geometrically finite rational maps
• Ergodic properties of rational functions that preserve Lebesgue measure on \(\mathbb{R}\)
• Quadratic rational maps lacking period 2 orbits
• Which Functions Preserve Cauchy Laws?
• Ergodic Theory for Markov Fibred Systems and Parabolic Rational Maps
• Geometry and Dynamics of Quadratic Rational Maps
• Predictability, entropy and information of infinite transformations
• Entropy of conservative transformations
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