Yujun Zhu

ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS

In this paper, the topological entropy and measure-theoreti entropy for nonautonomous dynamical systems are studied. Some prop- erties of these entropies are given and the relation between them is dis- cussed. Moreover, the bounds of them for several particular nonau- tonomous systems, such as affine transformations on metrizable groups (especially on the torus) and smooth maps on Riemannian manifolds, are obtained.

Quasi-Shadowing for Partially Hyperbolic Diffeomorphisms

A partially hyperbolic diffeomorphism

Quasi-stability of partially hyperbolic diffeomorphisms

f

ON LOCAL ENTROPY OF RANDOM TRANSFORMATIONS

has the quasi-shadowing property if for any pseudo orbit

AUSLANDER-YORKE CHAOS FOR GROUP ACTIONS ON DENDRITES

\{x_{k}\}_{k\in \mathbb{Z}}

GROWTH IN TOPOLOGICAL COMPLEXITY AND VOLUME GROWTH FOR RANDOM DYNAMICAL SYSTEMS

, there is a sequence of points

A formula of Friedland's entropy for Z_+~k -actions on tori

\{y_{k}\}_{k\in \mathbb{Z}}

TOPOLOGICAL ENTROPY OF A SEQUENCE OF MONOTONE MAPS ON CIRCLES

tracing it in which

Two notes on measure-theoretic entropy of random dynamical systems

y_{k+1}

Preimage entropy for random dynamical systems

is obtained from