Birational mappings and matrix subalgebra from the chiral Potts model

DOI10.1063/1.3032564zbMath1189.82030arXiv0802.1329OpenAlexW3100879543MaRDI QIDQ3650871

Emmanuel Preissmann, Jean-Marie Maillard, J.-Ch. Anglès D'Auriac

Publication date: 7 December 2009

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

Full work available at URL: https://arxiv.org/abs/0802.1329

zbMATH Keywords

matrix algebraHadamard matricesPotts modelstatistical mechanics

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Rational and birational maps (14E05)

Related Items (3)

Degree complexity of birational maps related to matrix inversion: symmetric case ⋮ Degree complexity of birational maps related to matrix inversion ⋮ The simplicity of the first spectral radius of a meromorphic map

Cites Work

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• Functional relations in lattice statistical mechanics, enumerative combinatorics and discrete dynamical systems
• On the degree growth of birational mappings in higher dimension
• Growth-complexity spectrum of some discrete dynamical systems
• Algebraic entropy
• On Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs
• The global symmetries of spin systems defined on abelian groups. II
• Cyclotomic integers and finite geometry
• ALMOST INTEGRABLE MAPPINGS
• A classification of four-state spin edge Potts models
• DETERMINANTAL IDENTITIES ON INTEGRABLE MAPPINGS
• On the complexity of some birational transformations

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