LOCAL UNSTABLE ENTROPY AND LOCAL UNSTABLE PRESSURE FOR RANDOM PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS

摘要

Let F be a random partially hyperbolic dynamical system generated by random compositions of a set of C~2-diffeomorphisms. For the unstable foliation, the corresponding local unstable measure-theoretic entropy, local unstable topological entropy and local unstable pressure via the dynamics of F along the unstable foliation are introduced and investigated. And variational principles for local unstable entropy and local unstable pressure are obtained respectively.