Some results on large deviation for nonlinear thermodynamic formalism
Topological pressure plays an important role in ergodic theory,dynamical system,dimensional theory and equilibrium states theory.The classical thermodynamical formalism,i.e.the case where the potential function is additive,has many important theoretical results and wide applications,both in deterministic systems and random systems.Buzzi,Kloeckner and Leplaideur defined nonlinear thermodynamical formalism of dynamical systems,and analyzed this nonlinear thermodynamics using suitable convex analysis.In this paper,we give some results concerning large deviation for nonlinear thermodynamical formalism.
nonlinear thermodynamic formalismlarge deviationspecification propertydynamical system
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