On the uniqueness of Gibbs states in some dynamical systems
This paper is translated from Sovremennaya Matematika i Eë Prilozheniya [Contemporary Mathematics and It's Applications, Vol 61, Optimal Control, (2008)]. By applying the Grothendieck theory and Ruelle thermodynamics formalism, the authors prove that for expansive dynamical systems and interaction potentials satisfying certain analyticity conditions, the associated Gibbs states are unique. This result allows the authors to obtain an analogy between some quantities in classical thermodynamics and abstract dynamics in the spirit of the authors' previous work.
scientific article; zbMATH DE number 5660116
scientific article