Although individual orbits of chaotic dynamical systems are by definition unpredictable, the
average behavior of typical trajectories can often be given a precise statistical description …

In broad terms, the goal of dynamics is to describe the long-term evolution of systems for
which an" infinitesimal" evolution rule, such as a differential equation or the iteration of a …

Let T be ad× d matrix with real coefficients. Then T determines a self-map of the d-
dimensional torus T d= R d/Z d. Let {E n} n∈ N be a sequence of subsets of T d and let W …

We investigate the statistical properties of a piecewise smooth dynamical system by directly
studying the action of the transfer operator on appropriate spaces of distributions. We …

We study the billiard map associated with both the finite and infinite horizon Lorentz gases
having smooth scatterers with strictly positive curvature. We introduce generalized function …

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

We study the statistical properties of a general class of two-dimensional hyperbolic systems
with singularities by constructing Banach spaces on which the associated transfer operators …

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 …

We study a class F^ of one-dimensional full branch maps introduced in Coates et
al.(Commun Math Phys 402 (2): 1845–1878, 2023), admitting two indifferent fixed points as …