Autor:	Mountford, Thomas, Ravishankar, Krishnamurthi
Rok vydání:	2021
Předmět:	Mathematics - Probability Primary 60K35 Secondary 60F17 60J15
Druh dokumentu:	Working Paper
Popis:	We introduce a new metric for collections of aged paths and a robust set of criteria for compactness for a set of collection of aged paths in the topology corresponding to this metric. We show that the distribution of stable webs ($1< \alpha \leq 2$) made up of collections of stable paths is tight in this topology. We then show the weak convergence of appropriately normalized systems of coalescing random walks in the domain of attraction of stable laws for $1 < \alpha \leq 2$ under this metric to the corresponding stable web. We obtain some path results in the brownian case. Comment: 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.02944 Zobrazit plný text záznamu View this record from Arxiv