Abstract
The finiteness of the collision time between two different randomly moving particles is presented by providing more useful analysis that gives stronger and finite moment. The triangular arrays and the uniform integrability conditions of the all probable positions non-stationary random sequence are used. In addition, an important property of Marcinkiewicz laws of large numbers and Hoffman-Jorgensen inequality are presented in this analysis. All of them are deriving to provide the sufficient conditions that give more stronger moments of the first meeting time in the probability space.
Highlights
The particles move in the fluid with one of the famous stochastic processes such as Levy process and Brownian motion
More useful analysis is presented to provide the finiteness of the first meeting time between two randomly moving particles
They showed that the random sequence of all random variables of all probable positions of the first collision time is uniformly integerable function and has a triangular array
Summary
The particles move in the fluid with one of the famous stochastic processes such as Levy process and Brownian motion. More useful analysis is presented to provide the finiteness of the first meeting time between two randomly moving particles. The important is studying the finiteness of the collision time expected value between different kinds of Alzulaibani Journal of the Egyptian Mathematical Society (2020) 28:35 randomly moving particles within this medium.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
