Distribution spaces and a new construction of stochastic processes associated with the Grassmann algebra
Mathematical Physics
2019-01-18 v2 math.MP
Abstract
We associate with the Grassmann algebra a topological algebra of distributions, which allows the study of processes analogous to the corresponding free stochastic processes with stationary increments, as well as their derivatives.
Keywords
Cite
@article{arxiv.1806.11058,
title = {Distribution spaces and a new construction of stochastic processes associated with the Grassmann algebra},
author = {Daniel Alpay and Ismael L. Paiva and Daniele C. Struppa},
journal= {arXiv preprint arXiv:1806.11058},
year = {2019}
}
Comments
We added an outline of the proof of Corollary 4.9, and corrected some misprints