ENGLISH

White Noise on Bialgebras

By Michael Schürmann (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1993
ISBN
3540566279, 9783540566274, 0387566279
DOI
10.1007/BFb0089237
LCC
QC174.17.M35 S3 1993
Open Library ID
OL1410224M
Language
english
Format
DJVU
Filesize
1 MB (1141263 bytes)
Series
Lecture Notes in Mathematics 1544
Edition
1
Pages
146\155
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Probability Theory and Stochastic Processes; Analy

Description

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.

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