Branching processes in simple random walk
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- by Meyer Dwass PDF
- Proc. Amer. Math. Soc. 51 (1975), 270-274 Request permission
Abstract:
Let $N(a)$ be the number of overcrossings of height $a$ in a simple random walk. For $p < 1/2$, the process $N(0),N(1), \ldots$ is a branching process which eventually becomes extinct. For $1/2 < p,N(0),N(1), \ldots$ is a stationary process which is a branching process with immigration.References
- William Feller, An introduction to probability theory and its applications. Vol. I, 3rd ed., John Wiley & Sons, Inc., New York-London-Sydney, 1968. MR 0228020
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 51 (1975), 270-274
- MSC: Primary 60J15; Secondary 60J80
- DOI: https://doi.org/10.1090/S0002-9939-1975-0370775-4
- MathSciNet review: 0370775