Dynamics of a two parameter family of plane birational maps: maximal entropy
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Publication:2434068
DOI10.1007/BF02922060zbMath1116.37031arXivmath/0505062MaRDI QIDQ2434068
Publication date: 31 October 2006
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0505062
Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Rational and birational maps (14E05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
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CONJECTURES ABOUT SIMPLE DYNAMICS FOR SOME REAL NEWTON MAPS ON ℝ2 ⋮ Degree complexity of a family of birational maps ⋮ On the complex dynamics of birational surface maps defined over number fields ⋮ Dynamics of rational surface automorphisms: linear fractional recurrences ⋮ Degree complexity of a family of birational maps. II: Exceptional cases ⋮ Invariant curves for birational surface maps
Cites Work
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- Real topological entropy versus metric entropy for birational measure-preserving transformations
- Growth-complexity spectrum of some discrete dynamical systems
- Algebraic entropy
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- Real Arnold complexity versus real topological entropy for birational transformations
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- Real and complex dynamics of a family of birational maps of the plane: The golden mean subshift
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