Estimating physical invariant measures and space averages of dynamical systems indicators

Publisher Website
Google Scholar
Abstract
We consider discrete, differentiable dynamical systems T : M\Gamma\Deltaoewhere M is asmooth d-dimensional manifold embedded in Euclidean space, and shall be concernedwith ergodic averages of real-valued functions g : M ! R. Such averagesmay be performed by arithmetically averaging g along an infinitely long single orbit(time averaging) or by integrating g with respect to an ergodic invariant measure(space averaging). We are particularly interested in the situation where these two...

This publication has 0 references indexed in Scilit: