Distribution spaces and a new construction of stochastic processes associated with the Grassmann algebra

Daniel Alpay; Ismael L. Paiva; Daniele C. Struppa

doi:10.1063/1.5052010

Distribution spaces and a new construction of stochastic processes associated with the Grassmann algebra

Daniel Alpay, Ismael L. Paiva, Daniele C. Struppa

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Article number	013508
Journal	Journal of Mathematical Physics
Volume	60
Issue number	1
DOIs	https://doi.org/10.1063/1.5052010
State	Published - 1 Jan 2019
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.5052010

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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.",

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Distribution spaces and a new construction of stochastic processes associated with the Grassmann algebra

Abstract

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