yi Hu

Decay of correlations for piecewise smooth maps with indifferent fixed points

We consider a piecewise smooth expanding map f on the unit interval that has the form

Nonexistence of SBR measures for some diffeomorphisms that are "almost Anosov"

f(x)=x+x^{1+\gamma}+o(x^{1+\gamma})

Some ergodic properties of commuting diffeomorphisms

near 0, where

The dimensions of a non-conformal repeller and an average conformal repeller

0 . We prove by showing both lower and upper bounds that the rate of decay of correlations with respect to the absolutely continuous invariant probability measure

Conditions for the Existence of SBR Measures for “Almost Anosov” Diffeomorphisms

\mu

Absolutely continuous invariant measures for non-uniformly expanding maps

is polynomial with the same degree

Nonadditive measure-theoretic pressure and applications to dimensions of an ergodic measure

1/\gamma-1

Statistics of Poincaré recurrences for maps with integrable and ergodic components

for Lipschitz functions. We also show that the density function h of

Dimensions of invariant sets of expanding maps

\mu

Quasi-Shadowing for Partially Hyperbolic Diffeomorphisms

has the order