1992/07/31 by Marc Bellon, M. P. Bellon, J-M Maillard +3 · 1 citation
Physics and Astronomy · #Chiral Potts curve #Dynamics (music) #Nonlinear Waves and Solitons #Physics #Potts model #Quantum chaos and dynamical systems #Statistical physics #Theoretical and Computational Physics #hep-th
paper · pdf · doi:10.1142/s021797929200164x
published as Int.J.Mod.Phys. B6 (1992) 3575-3584 · 11 pages, PAR--LPTHE 92--17, latex with amssymbols (change to amssymb if you have newlatex)
arxiv created 1992/07/31 · openalex publication_date 1992/11/20 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We describe deformations of non-linear (birational) representations of discrete groups generated by involutions, having their origin in the theory of the symmetric five-state Potts model. One of the deformation parameters can be seen as the number q of states of a chiral Potts models. This analogy becomes exact when q is a Fermat number. We analyze the stability of the corresponding dynamics, with a particular attention to orbits of finite order.