IFLYSIB 05383
INSTITUTO DE FISICA DE LIQUIDOS Y SISTEMAS BIOLOGICOS
Unidad Ejecutora - UE
artículos
Título:
On the uniqueness of Gibbs states in some dynamical systems
Autor/es:
MESON, ALEJANDRO M.; VERICAT, FERNANDO
Revista:
JOURNAL OF MATHEMATICAL SCIENCE
Editorial:
Springer
Referencias:
Lugar: New York; Año: 2008
Resumen:
By applying Grothendieck theory and Ruelle thermodynamic formalism, is proved that, for expansive dynamical systems and interaction potentials verifying certain conditions of analyticity, the associated Gibbs states are unique. This allows us to draw an analogy between some quantities in classical thermodynamics and abstract dynamics within the spirit of previous work by the authors [J. Dynam. Cont. Sys, 9, 437-448 (2003)].
