Analysis of the finiteness for the first collision time between two randomly moving particles

Analysis of the finiteness for the first collision time between two randomly moving particles

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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 Hayward SP1089 Skimmer Parts 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 COLOUR BATH RED 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.