Real Arnold complexity versus real topological entropy for birational transformations

DOI10.1088/0305-4470/33/8/301zbMath0983.37021arXivchao-dyn/9906010OpenAlexW2015934250MaRDI QIDQ4495979

S. Hassani, J.-Ch. Anglès D'Auriac, Jean-Marie Maillard, Salah Boukraa, Nina Abarenkova

Publication date: 13 August 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9906010

zbMATH Keywords

topological entropyArnold complexitydynamical zeta functionbirational measure-preserving transformations

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Ergodic theory (37A99) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items

Singularity confinement for maps with the Laurent property, Noetherian mappings, Some integrable maps and their Hirota bilinear forms, Dynamics of a two parameter family of plane birational maps: maximal entropy, Degree complexity of a family of birational maps, Laminar currents and birational dynamics, Real topological entropy versus metric entropy for birational measure-preserving transformations

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