|Birational mapping from the Chiral Potts model|
|Jean-Christian Angles d'Auriac|
|giovedý 22 maggio 2008 , 09h00|
|Conferenze presentate ai workshop del Laboratorio (2008)|
We introduce discrete dynamical systems originating from 2-dimensional lattice statistical mechanics models. These dynamical systems are birational mappings which show a reduced degree growth. All the mappings associated to the q-state Potts model with q a prime or the square of a prime are found. For the other cases, a symbolic enumerative algorithm is used for q small. A two parameters integrable family is found.