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.
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
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