ALMOST INTEGRABLE MAPPINGS

DOI10.1142/S0217979294000063zbMath0804.58045OpenAlexW2093667226MaRDI QIDQ4299813

Geneviève Rollet, Salah Boukraa, Jean-Marie Maillard

Publication date: 12 July 1994

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979294000063

zbMATH Keywords

lattice modelsstatistical mechanicsalgebraic varietiesbirational transformationsintegrable mappingsiterations

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Rational and birational maps (14E05) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (12)

Spectral interpretations of dynamical degrees and applications ⋮ Renormalization, isogenies, and rational symmetries of differential equations ⋮ Noetherian mappings ⋮ Dynamics of a two parameter family of plane birational maps: maximal entropy ⋮ Degree complexity of a family of birational maps ⋮ Growth-complexity spectrum of some discrete dynamical systems ⋮ Birational mappings and matrix subalgebra from the chiral Potts model ⋮ Real topological entropy versus metric entropy for birational measure-preserving transformations ⋮ Real Arnold complexity versus real topological entropy for birational transformations ⋮ Functional relations in lattice statistical mechanics, enumerative combinatorics and discrete dynamical systems ⋮ Discrete symmetry groups of vertex models in statistical mechanics. ⋮ Modular forms, Schwarzian conditions, and symmetries of differential equations in physics

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