On the local time of the Half-Plane Half-Comb walk

Autor:	Csaki, Endre, Foldes, Antonia
Rok vydání:	2020
Předmět:	Mathematics - Probability primary 60F17 60G50 60J65 secondary 60F15 60J10
Druh dokumentu:	Working Paper
Popis:	The Half-Plane Half-Comb walk is a random walk on the plane, when we have a square lattice on the upper half-plane and a comb structure on the lower half-plane, i.e. horizontal lines below the x-axis are removed. We prove that the probability that this walk returns to the origin in 2N steps is asymptotically equal to 2/(\pi N). As15 pag a consequence we prove strong laws and a limit distribution for the local time. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.11767 Zobrazit plný text záznamu View this record from Arxiv