Real and complex dynamics of a family of birational maps of the plane: The golden mean subshift

DOI10.1353/ajm.2005.0015zbMath1083.37038arXivmath/0306276OpenAlexW1992076678MaRDI QIDQ5694355

Jeffrey Diller, Eric Bedford

Publication date: 30 September 2005

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306276

zbMATH Keywords

complexificationcurrentintersection numbernonwandering setbirational mappingsclosed relation

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Symbolic dynamics (37B10)

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Invertible Dynamics on Blow-ups of $${\mathbb {P}}^{k}$$ ⋮ Energy and invariant measures for birational surface maps ⋮ Dynamical study while searching equilibrium solutions in \(N\)-body problem ⋮ CONJECTURES ABOUT SIMPLE DYNAMICS FOR SOME REAL NEWTON MAPS ON ℝ2 ⋮ Dynamics of a two parameter family of plane birational maps: maximal entropy ⋮ Degree complexity of a family of birational maps ⋮ Periodicities in linear fractional recurrences: degree growth of birational surface maps ⋮ Lee-Yang zeros for the DHL and 2D rational dynamics. I: Foliation of the physical cylinder ⋮ Dynamics of rational surface automorphisms: linear fractional recurrences ⋮ Laminar currents and birational dynamics ⋮ Global dynamics of the real secant method ⋮ Entropy of Real Rational Surface Automorphisms ⋮ Invariant curves for birational surface maps

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