On The Limiting Distribution of Free Path Lengths for Flat Surfaces with Circular Obstacles
Dynamical Systems
2021-12-28 v1 Differential Geometry
Abstract
In this note, we prove the existence of a limiting distribution of the free path lengths on flat surfaces with circular obstacles as the radius of the obstacles goes to zero. Moreover, we relate this distribution to the distribution of the heights of zippered rectangle decompositions of flat surfaces.
Keywords
Cite
@article{arxiv.2112.12851,
title = {On The Limiting Distribution of Free Path Lengths for Flat Surfaces with Circular Obstacles},
author = {Diaaeldin Taha},
journal= {arXiv preprint arXiv:2112.12851},
year = {2021}
}
Comments
This is work in progress