On The Limiting Distribution of Free Path Lengths for Flat Surfaces with Circular Obstacles

Autor:	Taha, Diaaeldin
Rok vydání:	2021
Předmět:	Mathematics - Dynamical Systems Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: This is work in progress
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.12851 Zobrazit plný text záznamu View this record from Arxiv