Three classes of infinite-dimensional diffusions
type: Item
instance of: scholarly article
title: Three classes of infinite-dimensional diffusions
zbMATH Open document ID: 0683.60040
DOI: 10.1016/0022-1236(89)90065-7
author: E. B. Dynkin
published in: Journal of Functional Analysis
publication date: 1989-01-01T00:00:00Z
review text: The main theme of this paper is the study of entrance law behavior for infinite-dimensional diffusions. In particular, three classes of infinite-dimensional diffusions are investigated, namely, the Ornstein- Uhlenbeck, Dawson-Watanabe (DW) and Fleming-Viot superprocesses. The basic notions of entrance laws and equilibrium measures are developed and a classification of entrance laws is obtained. Since each of these three classes of infinite-dimensional diffusions is in turn built from a finite-dimensional diffusion the relation between the entrance laws at these two levels is studied in depth. In addition for the DW class the relation between infinite entrance laws and probability entrance laws is established.
reviewed by: Donald A. Dawson
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 4119351
zbMATH Keywords: superprocess
zbMATH Keywords: entrance law behavior for infinite-dimensional diffusions
zbMATH Keywords: classification of entrance laws
MaRDI profile type: Publication
full work available at URL: 0022-1236(89)90065-7
OpenAlex ID: W2050827374
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description: scientific article; zbMATH DE number 4119351