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Pré-Publication, Document De Travail Année : 2021

Nonlinear thermodynamical formalism

Jérôme Buzzi
Renaud Leplaideur

Résumé

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.

Dates et versions

hal-03099931 , version 1 (06-01-2021)

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Jérôme Buzzi, Renaud Leplaideur. Nonlinear thermodynamical formalism. 2021. ⟨hal-03099931⟩
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