Document Type

Article

Publication Date

9-20-2021

Abstract

In this paper, we present the groundwork for an Itô/Malliavin stochastic calculus and Hida's white noise analysis in the context of a supersymmetry with Z3-graded algebras. To this end, we establish a ternary Fock space and the corresponding strong algebra of stochastic distributions and present its application in the study of stochastic processes in this context.

Comments

This is the accepted version of the following article:

Alpay, D, Cerejeiras, P, Kaehler, U. Generalized Grassmann algebras and applications to stochastic processes. Math Meth Appl Sci. 2021; 1- 19. https://doi.org/10.1002/mma.7781

which has been published in final form at https://doi.org/10.1002/mma.7781. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.

Peer Reviewed

1

Copyright

Wiley

Available for download on Tuesday, September 20, 2022

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