Heat semigroup on a complete Riemannian manifold
type: Item
instance of: scholarly article
title: Heat semigroup on a complete Riemannian manifold
zbMATH Open document ID: 0694.58043
author: N. E. Zubov
published in: The Annals of Probability
publication date: 1989-01-01T00:00:00Z
review text: Let M be a complete Riemannian manifold and p(t,x,y) the minimal heat kernel on M. Let \(P_ t\) be the associated semigroup. The stochastic completeness \((\int_{M}p(t,x,y)dy=1\), \(t>0)\) and a \(C_ 0\)-diffusion property \((P_ tf\) vanishes at infinity for all \(t>0\) whenever f does) are investigated.
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 4137073
zbMATH Keywords: Brownian motion
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: \(C_ 0\)-diffusion
Wikidata QID: Q115240739
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176991267
OpenAlex ID: W2172216009
DOI: 10.1214/AOP/1176991267
description: scientific article; zbMATH DE number 4137073