A note on the finite-dimensional distributions of dispersing billiard processes
Dynamical Systems
2017-04-24 v1 Mathematical Physics
math.MP
Probability
Abstract
In this short note we consider the finite-dimensional distributions of sets of states generated by dispersing billiards with a random initial condition. We establish a functional correlation bound on the distance between the finite-dimensional distributions and corresponding product distributions. We demonstrate the usefulness of the bound by showing that it implies several limit theorems. The purpose of this note is to provide a tool facilitating the study of more general functionals of the billiard process.
Keywords
Cite
@article{arxiv.1702.01461,
title = {A note on the finite-dimensional distributions of dispersing billiard processes},
author = {Juho Leppänen and Mikko Stenlund},
journal= {arXiv preprint arXiv:1702.01461},
year = {2017}
}