White noise on bialgebras

The Resource White noise on bialgebras

Label

White noise on bialgebras

Statement of responsibility

Michael Schürmann

Language

eng

Summary

Stochastic processes with independent increments on a group are generalized to the concept of "white noise" on a Hopf algebra or bialgebra. The main purpose of the book is the characterization of these processes as solutions of quantum stochastic differential equations in the sense of R.L. Hudsonand K.R. Parthasarathy. The notes are a contribution to quantum probability but they are also related to classical probability, quantum groups, and operator algebras. The Az ma martingales appear as examples of white noise on a Hopf algebra which is a deformation of the Heisenberg group. The book will be of interest to probabilists and quantum probabilists. Specialists in algebraic structures who are curious about the role of their concepts in probablility theory as well as quantum theory may find the book interesting. The reader should havesome knowledge of functional analysis, operator algebras, and probability theory

Action

digitized

Cataloging source

SPLNM

Dewey number

530.1/2/015192

Index

index present

LC call number

QC174.17.M35
QA3

LC item number

S3 1993
.L28 no. 1544

Literary form

non fiction

Nature of contents

dictionaries
bibliography

Series statement

Lecture notes in mathematics,

Series volume

1544

Context

Context of White noise on bialgebras

Structured data from the Bibframe namespace is licensed under the Creative Commons Attribution 4.0 International License by University of Missouri Libraries. Additional terms may apply to data associated with third party namespaces.

Context

Work of