Conditional variational principle for the irregular set in some nonuniformly hyperbolic systems
Conditional variational principle for the irregular set in some nonuniformly hyperbolic systems
This article is devoted to the studyof the irregular sets of Birkhoff averages in some nonuniformlyhyperbolic systems via Pesin theory.Particularly, we give a conditional variational principlefor the topological entropy of the irregular sets. Our result can be applied(i) to the diffeomorphisms on surfaces,(ii) to the nonuniformly hyperbolic diffeomorphisms described by …