Generalized Grassmann algebras and applications to stochastic processes
Functional Analysis
2022-01-05 v1 Mathematical Physics
math.MP
Probability
Abstract
In this paper we present the groundwork for an It\^o/Malliavin stochastic calculus and Hida's white noise analysis in the context of a supersymmentry 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.
Keywords
Cite
@article{arxiv.2103.11449,
title = {Generalized Grassmann algebras and applications to stochastic processes},
author = {Daniel Alpay and Paula Cerejeiras and Uwe Kähler},
journal= {arXiv preprint arXiv:2103.11449},
year = {2022}
}