Local unstable entropy and local unstable pressure for partially hyperbolic endomorphisms. (English) Zbl 1497.37037
Summary: In this paper, local unstable metric entropy, local unstable topological entropy and local unstable pressure for partially hyperbolic endomorphisms are introduced and investigated. Specially, two variational principles concerning relationships among the above mentioned numbers are formulated.
MSC:
| 37D30 | Partially hyperbolic systems and dominated splittings |
| 37D35 | Thermodynamic formalism, variational principles, equilibrium states for dynamical systems |
| 37B40 | Topological entropy |
Keywords:
partially hyperbolic endomorphism; local unstable metric entropy; local unstable topological entropy; local unstable pressure; variational principleReferences:
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