On the existence of the tracking model for N-dimensional Brownian particle in the fluid

Mohamed Abd Allah El-Hadidy and Alaa Awad Alzulaibani

International Journal of Mathematics in Operational Research, 2023, vol. 26, issue 1, 59-95

Abstract: In this work, an existential study of the tracking technique of N-dimensional Brownian particle in the fluid has been discussed. A set of nano-robot sensors start the tracking process from the origin of N-dimensional space. Besides giving the conditions which present the finiteness of the expected value of the first meeting time between one of the nano-robot sensors and the particle, we provide the computational expected value of this time.

Keywords: probabilistic methods; statistical physics; mathematical analysis; N-dimensional Brownian motion; purify impurities. (search for similar items in EconPapers)
Date: 2023
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