Optimal Distribution of a Resource Over the Boundary of a Region of a Two-Dimensional Brownian Motion

The probability of successfully intercepting a Brownian motion on the boundary of a plane region has been investigated. The probability has been represented as a function of the distribution of some resources over the boundary of the region. The optimal distribution of the resource has been found.

Authors

Publication Details

Journal
Mathematics Computer Science and Education
Published
2024-11-27
DOI
https://doi.org/10.54664/ayjs6812
Primary Topic
advanced mathematical theories
Type
article
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article

Optimal Distribution of a Resource Over the Boundary of a Region of a Two-Dimensional Brownian Motion

Dobromir P. Kralchev
Mathematics Computer Science and Education
advanced mathematical theories
article

Optimal Distribution of a Resource Over the Boundary of a Region of a Two-Dimensional Brownian Motion

Dobromir P. Kralchev
article en

Abstract

The probability of successfully intercepting a Brownian motion on the boundary of a plane region has been investigated. The probability has been represented as a function of the distribution of some resources over the boundary of the region. The optimal distribution of the resource has been found.

Mathematics Computer Science and EducationVol. 7(1)
Openalex Percentile: Top 64%
advanced mathematical theories
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Optimal Distribution of a Resource Over the Boundary of a Region of a Two-Dimensional Brownian Motion — Dobromir P. Kralchev · Mathematics Computer Science and Education (2024) | TGRS Research Map | TGRS