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A critical measure-valued branching process with infinite mean |
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| Authors: | DA Dawson K Fleischmann RD Foley LA Peletier |
| Institution: | 1. Department of Mathematics and Statistics , Carleton University , Ottawa, klS 5B6, Canada;2. Karl Weierstrass Institute of Mathematics , Academy of Sciences of GDR , Box 1304, Berlin;3. Isye Department , Georgia Tech , Atlanta, Georgia, 30332, U.S.A;4. Mathematical Institute , University of Leiden , Box 9512, RA Leiden, 2300, Netherlands |
| 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. |
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