Discrete symmetry groups of vertex models in statistical mechanics.

DOI10.1007/BF02180130zbMath1080.82511OpenAlexW2018688883MaRDI QIDQ1593209

Jean-Marie Maillard, Geneviève Rollet, Salah Boukraa

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02180130

zbMATH Keywords

polynomial growthelliptic curvesvertex modelsdiscrete dynamical systemsbirational transformationsintegrable mappingsiterationsAbelian surfacesautomorphisms of algebraic varietiescomplexity of iterationsinversion trickJacobian of algebraic curvesnonlinear recursion relations

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items

Noetherian mappings, Topological entropy and Arnold complexity for two-dimensional mappings, Growth-complexity spectrum of some discrete dynamical systems, 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, Three-dimensional vertex model in statistical mechanics from Baxter-Bazhanov model., Histogram Monte Carlo position-space renormalization group: applications to the site percolation.

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