A super-Brownian motion with a locally infinite catalytic mass |
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| Authors: | Klaus Fleischmann Carl Mueller |
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| Institution: | (1) Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D–10117 Berlin, Germany (e-mail: fleischmann@wias-berlin.de), DE;(2) Department of Mathematics, University of Rochester, Rochester, NY 14620, USA (e-mail: cmlr@troi.rochester.edu), US |
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| Abstract: | Summary. A super-Brownian motion in with “hyperbolic” branching rate , is constructed, which symbolically could be described by the formal stochastic equation (with a space-time white noise ). Starting at
this superprocess will never hit the catalytic center: There is an increasing sequence of Brownian stopping times strictly smaller than the hitting time of such that with probability one Dynkin's stopped measures vanish except for finitely many
Received: 27 November 1995 / In revised form: 24 July 1996 |
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| Keywords: | Mathematics Subject Classification (1991): Primary 60J80 Secondary 60J55 60G57 |
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