Exterior algebra of a Banach space

Ramasinghe, W.

doi:10.1016/j.bulsci.2006.05.007

Bulletin des Sciences Mathématiques

2007

DOI: 10.1016/j.bulsci.2006.05.007

|View full text |Cite

Exterior algebra of a Banach space

W. Ramasinghe

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2012

2022

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions

Albeverio

Luigi

Vecchi

et al. 2022

Probab. Theory Relat. Fields

View full text Add to dashboard Cite

We introduce a stochastic analysis of Grassmann random variables suitable for the stochastic quantization of Euclidean fermionic quantum field theories. Analysis on Grassmann algebras is developed here from the point of view of quantum probability: a Grassmann random variable is an homomorphism of an abstract Grassmann algebra into a quantum probability space, i.e. a $$C^{*}$$ C ∗ -algebra endowed with a suitable state. We define the notion of Gaussian processes, Brownian motion and stochastic (partial) differential equations taking values in Grassmann algebras. We use them to study the long time behavior of finite and infinite dimensional Langevin Grassmann stochastic differential equations driven by Gaussian space-time white noise and to describe their invariant measures. As an application we give a proof of the stochastic quantization and of the removal of the space cut-off for the Euclidean Yukawa model.

show abstract

Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions

Albeverio

Luigi

Vecchi

et al. 2022

Probab. Theory Relat. Fields

View full text Add to dashboard Cite

show abstract

Almost Lie structures on an anchored Banach bundle

Cabau

Pelletier

2012

Journal of Geometry and Physics

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Exterior algebra of a Banach space

Cited by 2 publications

References 6 publications

Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions

Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions

Almost Lie structures on an anchored Banach bundle

Contact Info

Product

Resources

About