Stretched IDLA
type: Item
instance of: scholarly article
zbMATH Open document ID: 1321.60201
author: Noam Berger
author: Jacob J. Kagan
author: Eviatar B. Procaccia
publication date: 2014-10-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1209.3112
full work available at URL: 11-21.pdf
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 60G10
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 60G55
Mathematics Subject Classification ID: 82C24
Mathematics Subject Classification ID: 82C22
zbMATH DE Number: 6359750
zbMATH Keywords: internal diffusion limited aggregation
zbMATH Keywords: first passage percolation
zbMATH Keywords: stationarity
zbMATH Keywords: simple random walk
zbMATH Keywords: Poisson clock
zbMATH Keywords: ergodicity
MaRDI profile type: Publication
arXiv ID: 1209.3112
arXiv classification: math.PR
title: Stretched IDLA
published in: ALEA. Latin American Journal of Probability and Mathematical Statistics
review text: In this paper, the authors consider a new internal diffusion limited aggregation (IDLA) process in continuous time, introduced by Itai Benjamini, which is called stretched IDLA. This process starts with an infinite line. Every vertex on the line has a Poisson clock, every ring initiates an oriented simple random walk that can add an edge to the tree rooted at the vertex whose clock rang. The authors show that even though eventually all vertices are covered, all tress are finite.
reviewed by: Golibjon Isroilovich Botirov
description: scientific article; zbMATH DE number 6359750