Stochastic processes on quantum logics
type: Item
instance of: scholarly article
title: Stochastic processes on quantum logics
zbMATH Open document ID: 0546.60039
DOI: 10.1016/0034-4877(80)90093-2
published in: Reports on Mathematical Physics
publication date: 1980-01-01T00:00:00Z
review text: Joint distributions of observables were studied by several authors. In the present paper, we use the joint distributions originally introduced by \textit{K. Urbanik} [Stud. Math. 21, 117-133 (1961; Zbl 0099.224)]. We shall give a definition of the Brownian motion process analogous to the definition in the classical case and study its properties. We also try to construct a stochastic integral with respect to this Brownian motion process.
Mathematics Subject Classification ID: 60G07
Mathematics Subject Classification ID: 81P20
Mathematics Subject Classification ID: 60A05
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 3870322
zbMATH Keywords: quantum logics
zbMATH Keywords: Joint distributions of observables
zbMATH Keywords: stochastic integral
author: Sylvia Pulmannová
author: Anatolij Dvurečenskij
MaRDI profile type: Publication
full work available at URL: 0034-4877(80)90093-2
OpenAlex ID: W2059603851
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description: scientific article; zbMATH DE number 3870322