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.
关键词
非线性热力学形式/大偏差/碎轨性质/动力系统
Key words
nonlinear thermodynamic formalism/large deviation/specification property/dynamical system