Spaces of Differential Forms with Stochastic Complex-Valued Coefficients

Authors

  • Minzilya Almasovna Sagadeeva South Ural State University, Chelyabinsk
  • Dmitriy Evgen'evich Shafranov South Ural State University, Chelyabinsk

DOI:

https://doi.org/10.14529/mmph230203

Keywords:

complex-valued random variables, complex-valued stochastic processes, stochastic K-processes, differential forms

Abstract

This article investigates the construction of spaces of differential forms with coefficients which are stochastic complex-valued K-processes. A complete probability space and complex-valued random variables on measurable subsets of this space are considered, and continuous random complex-valued K-processes are also introduced. Next, we construct spaces of differential forms with coefficients in the form of such stochastic complex-valued K-processes.

Author Biographies

Minzilya Almasovna Sagadeeva, South Ural State University, Chelyabinsk

Cand. Sc. (Physics and Mathematics), Associate Professor, Mathematical and Computer Modelling Department

Dmitriy Evgen'evich Shafranov, South Ural State University, Chelyabinsk

Cand. Sc. (Physics and Mathematics), Associate Professor, Mathematical and Computer Modelling Department

Published

2023-05-26

Issue

Section

Mathematics