Birkhoff sums as distributions I: Regularity
Dynamical Systems
2024-12-16 v2 Analysis of PDEs
Abstract
We study Birkhoff sums as distributions. We obtain regularity results on such distributions for various dynamical systems with hyperbolicity, as hyperbolic linear maps on the torus and piecewise expanding maps on the interval. We also give some applications, as the study of advection in discrete dynamical systems.
Cite
@article{arxiv.2104.04806,
title = {Birkhoff sums as distributions I: Regularity},
author = {Clodoaldo Grotta-Ragazzo and Daniel Smania},
journal= {arXiv preprint arXiv:2104.04806},
year = {2024}
}
Comments
45 pages