Semi-invertible multiplicative ergodic theorems establish the existence of an Oseledets
splitting for cocycles of non-invertible linear operators (such as transfer operators) over an …

Rigorous numerical investigation of the statistical properties of piecewise expanding maps{A
feasibility study Page 1 Rigorous numerical investigation of the statistical properties of …

Absolutely continuous invariant probability measures for arbitrary expanding piecewise $\mathbb{R}$-analytic
mappings of the pla Page 1 Ergod. Th. & Dynam. Sys. (2000), 20, 697–708 Printed in the …

We introduce a weak transversality condition for piecewise C1+ α and piecewise hyperbolic
maps which admit a C1+ α stable distribution. We show bounds on the essential spectral …

Absolutely Continuous Invariant Measures for Piecewise Real-Analytic Expanding Maps on the
Plane Page 1 Commun. Math. Phys. 208, 605 - 622 (2000) Communications in Mathematical …

We provide a simplified proof of the existence, under some assumptions, of a spectral gap
for the Perron-Frobenius operator of piecewise uniformly expanding maps on Riemannian …

The isolated spectrum of transfer operators is known to play a critical role in determining
mixing properties of piecewise smooth dynamical systems. The so-called Dellnitz-Froyland …

I provide a proof of the existence of absolutely continuous invariant measures (and study
their statistical properties) for multidimensional piecewise expanding systems with not …

1.1. Background Our aim is to prove that any finite dimensional singular partially hyperbolic
attractor admits a unique SRB measure. SRB stands for Sinai, Ruelle and Bowen who …

We modify Tsujiis example [9] to show that in contrast with the one-dimensional case,
piecewise uniformly expanding and Cr maps of the plane may:(1) either have no absolutely …