On the Sojourn Time Distribution of a Random Walk at a Multidimensional Lattice Point

DOI10.1137/S0040585X97T990599zbMath1495.60077MaRDI QIDQ5034417

E. B. Yarovaya, G. A. Popov, A. A. Aparin

Publication date: 25 February 2022

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

functional limit theoremmethod of momentsbranching random walkmultidimensional latticebranching random walks (BRW)particle population distribution at lattice pointvariance of jumps

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (1)

Moment Asymptotics of Population Size of Particles at Vertices for a Supercritical Branching Random Walk on a Periodic Graph

Cites Work

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• On Occupation Times for Markoff Processes
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• On the distribution of values of sums of random variables
• The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)
• Fluctuation Theory of Recurrent Events
• Ergodic Property of the Brownian Motion Process

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