Journal of Applied Mathematics and Stochastic Analysis

Volume 10 (1997), Issue 4, Pages 307-332

doi:10.1155/S1048953397000397

## Boundedness of one-dimensional branching Markov processes

# F. I. Karpelevich^{1} and Yu. M. Suhov^{2}

^{1}Moscow Institute of Transport Engineers (MIIT), The Russian Ministry of Railways, 15 Obraztsova Str., Moscow 101475, Russia^{2}University of Cambridge, Statistical Laboratory, Department of Pure Mathematics and Mathematical Statistics, 16, Mill Lane, Cambridge CB2 1SB, UK

Received 1 November 1996; Revised 1 May 1997

Copyright © 1997 F. I. Karpelevich and Yu. M. Suhov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

A general model of a branching Markov process on