On the measurable dynamics of z → ez

DOI10.1017/S0143385700002984zbMath0616.58006OpenAlexW2077899915MaRDI QIDQ4725366

Lisa R. Goldberg, Dennis Sullivan, Étienne Ghys

Publication date: 1985

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700002984

zbMATH Keywords

quasiconformal deformationscomplex exponential mapmeasure theoretic properties

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Iteration of real functions in one variable (26A18)

Related Items

The exponential map is not recurrent, Julia sets of Zorich maps, Iteration of meromorphic functions, Measurable dynamics of the exponential map, Most of the Maps near the Exponential are Hyperbolic, Julia sets and bifurcation diagrams for exponential maps, Area and Hausdorff Dimension of Julia Sets of Entire Functions, Are there critical points on the boundaries of singular domains?

Cites Work

• Riemann's mapping theorem for variable metrics
• Dynamics of exp (z)
• On iterates of e^z