Yunhua Zhou

Quasi-Shadowing for Partially Hyperbolic Diffeomorphisms

A partially hyperbolic diffeomorphism

On the tail pressure

f

ROBUST WEAK ERGODICITY AND STABLE ERGODICITY

has the quasi-shadowing property if for any pseudo orbit

Topological entropies of equivalent smooth flows

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

Quasi-Shadowing and Quasi-Stability for Dynamically Coherent Partially Hyperbolic Diffeomorphisms

, there is a sequence of points

Tail variational principle for a countable discrete amenable group action

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

Generic continuity of metric entropy for volume-preserving diffeomorphisms☆

tracing it in which

On the limit quasi-shadowing property

y_{k+1}

Sub-additive topological and measure-theoretic tail pressures

is obtained from

Extreme entropy versus growth rates of periodic orbits in equivalent flows

f(y_{k})