Geodesic
Spaces of differential forms with stochastic complex-valued coefficients
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 15 (2023) no. 2, pp. 21-25

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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.
Keywords: complex-valued random variables, complex-valued stochastic processes, stochastic K-processes, differential forms. 
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     author = {M. A. Sagadeeva and D. E. Shafranov},
     title = {Spaces of differential forms with stochastic complex-valued coefficients},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {21--25},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2023_15_2_a2/}
}
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M. A. Sagadeeva; D. E. Shafranov. Spaces of differential forms with stochastic complex-valued coefficients. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 15 (2023) no. 2, pp. 21-25. http://geodesic.mathdoc.fr/item/VYURM_2023_15_2_a2/