Oliver Butterley

Disintegration of invariant measures for hyperbolic skew products

AbstractWe study hyperbolic skew products and the disintegration of the SRB measure into measures supported on local stable manifolds. Such a disintegration gives a method for passing from an observable v on the skew product to an observable

Area Expanding {\fancyscript{C}^{1+\alpha}} Suspension Semiflows

\overline v

Expanding semiflows on branched surfaces and one-parameter semigroups of operators

v¯ on the system quotiented along stable manifolds. Under mild assumptions on the system we prove that the disintegration preserves the smoothness of v, first in the case where v is Hölder and second in the case where v is

Exponential mixing for skew products with discontinuities

{\mathcal{C}^1}

Polynomial decay of correlations for flows, including Lorentz gas examples

C1 .

Smooth Invariant Cone Fields: Errata Corrige to "Smooth Anosov Flows: Correlation Spectra and Stability"

For any dimension