Dirichlet forms on the Sierpiński gasket
type: Item
instance of: scholarly article
title: Dirichlet forms on the Sierpiński gasket
zbMATH Open document ID: 1067.31011
author: Robert Meyers
author: Robert S. Strichartz
author: Alexander Teplyaev
published in: Pacific Journal of Mathematics
publication date: 2005-05-03T00:00:00Z
review text: The authors study not necessarily self-similar Dirichlet forms on the Sierpinski gasket that can be described as limits of compatible residence networks on the sequence of graphs approximating the gasket. Also an alternative description is presented, based on just 3 conductance values and the 3-dimensional space of harmonic functions. Finally, it is shown how to parametrize all the Dirichlet forms by a set of independent variables.
reviewed by: Sophia L. Kalpazidou
Mathematics Subject Classification ID: 31C25
Mathematics Subject Classification ID: 31C20
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 2164612
zbMATH Keywords: Dirichlet forms
zbMATH Keywords: approximating graphs
zbMATH Keywords: limits of compatible residence networks
MaRDI profile type: Publication
full work available at URL: pjm.2004.217.149
OpenAlex ID: W1968935453
DOI: 10.2140/PJM.2004.217.149
description: scientific article; zbMATH DE number 2164612