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JOURNALS // Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii" // Archive

Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2024 Issue 2, Pages 11–19 (Mi ulsu196)

The relationship of parameters of weight function in the sedimentation model and fractal Brownian motion

A. Yu. Bogdanov

Ulyanovsk State University, Russia

Abstract: In the paper, based on a stochastic approach to investigating the sedimentation process of solid particles, new theoretical results were obtained that combine the advantages of deterministic physical laws governing particle kinetics in liquids and probabilistic methods for modeling complex dynamical systems. The most important practical outcome of these results is the provision of a more accurate and reasonable dependence of the mean degree of purification from disperse impurities, which would be useful for researchers tackling engineering tasks involving stochastic interacting systems.

Keywords: mechanical impurities, computer stochastic modeling, fractal Brownian motion

UDC: 51-74

Received: 29.10.2024
Revised: 05.11.2024



© Steklov Math. Inst. of RAS, 2026