Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents

DOI10.1007/BF01232426zbMath0792.58034arXivmath/9205210OpenAlexW2014951786MaRDI QIDQ690208

John Smillie, Eric Bedford, Mikhail Lyubich

Publication date: 7 August 1994

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9205210

zbMATH Keywords

potential theory harmonic measure ergodic theory Pesin theory Fatou-Julia theory laminar currents polynomial diffeomorphisms

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Currents in global analysis (58A25)

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Cites Work