A critical measure-valued branching process with infinite mean
- 1 January 1986
- journal article
- research article
- Published by Taylor & Francis in Stochastic Analysis and Applications
- Vol. 4 (2) , 117-129
- https://doi.org/10.1080/07362998608809084
Abstract
A critical spatially homogeneous measure-valued branching process in Rdis studied where the initial state has infinite asymptotic density. In low dimen-dimensions it explodes (locally), but in a critical dimension both effects are exhibited.Keywords
This publication has 3 references indexed in Scilit:
- Critical dimension for a model of branching in a random mediumProbability Theory and Related Fields, 1985
- Random invariant measures for Markov chains, and independent particle systemsProbability Theory and Related Fields, 1978
- The critical measure diffusion processProbability Theory and Related Fields, 1977