Dynamical Resistance Day

A nonlinear thermodynamical formalism
10 de Julho | 11h00min | Jerome Buzzi (Univ. Paris Sud, France)

Title: A nonlinear thermodynamical formalism (video)

Together with Leplaideur, we define a nonlinear thermodynamical
formalism which translates into dynamical system theory the statistical mechanics of generalized mean-field models, extending the quadratic formalism of Leplaideur and Watbled. Under suitable conditions, we prove a variational principle for the nonlinear pressure and we characterize the nonlinear equilibrium measures and relate them to specific classical equilibrium measures.