The Library
Infinite-dimensional degree theory and stochastic analysis
Tools
Tools
Tools
Al-Hussein, A. and Elworthy, K. D. (2010) Infinite-dimensional degree theory and stochastic analysis. Journal of Fixed Point Theory and Application, Vol.7 (No.1). pp. 33-65. doi:10.1007/s11784-010-0009-9 ISSN 1661-7738.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1007/s11784-010-0009-9
Abstract
The main aim of this paper is to describe how stochastic analysis is applied to infinite-dimensional degree theory for measurable maps of Banach spaces and Fredholm maps between Banach manifolds. It is based on work of Getzler, Kusuoka, and Ustunel & Zakai.
Topics include the following: measure-theoretic versions of Sard's theorem and inequality, pull-backs of measures by Fredholm maps, integral formulae for the degree, infinite-dimensional area formulae, generalised McKean-Singer formulae for Euler characteristics, and generalised Rice formulae. Introductory material on Gaussian measures and stochastic analysis is included.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Journal of Fixed Point Theory and Application | ||||
| Publisher: | Birkhauser Verlag AG | ||||
| ISSN: | 1661-7738 | ||||
| Official Date: | June 2010 | ||||
| Dates: |
|
||||
| Volume: | Vol.7 | ||||
| Number: | No.1 | ||||
| Number of Pages: | 33 | ||||
| Page Range: | pp. 33-65 | ||||
| DOI: | 10.1007/s11784-010-0009-9 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
