Persistence of a critical super-2 process

It is shown that the critical two-level (2, d, 1, 1)-superprocess is persistent in dimensions d greater than 4. This complements the extinction result of Wu (1994) and implies that the critical dimension is 4.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of applied probability 1995-06, Vol.32 (2), p.534-540
Hauptverfasser:	Gorostiza, Luis G., Hochberg, Kenneth J., Wakolbinger, Anton
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications Differential equations Exact sciences and technology Infinity Markov analysis Markov processes Mathematical models Mathematics Multilevel models Particle diffusion Probability Probability and statistics Probability theory and stochastic processes Processes Sciences and techniques of general use Semigroups Short Communications Studies Theory
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Beschreibung
Zusammenfassung:	It is shown that the critical two-level (2, d, 1, 1)-superprocess is persistent in dimensions d greater than 4. This complements the extinction result of Wu (1994) and implies that the critical dimension is 4.
ISSN:	0021-9002 1475-6072
DOI:	10.2307/3215306