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Limit laws for three-dimensional super-Brownian motion are derived, conditioned on survival up to a large time. A large deviation principle is proved for the joint behavior of occupation times and their difference. These are done via analyzing the generating function and exploiting a connection between probability and differential/integral equations.

Copyright 1998 American Mathematical Society

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Article Info

• ERA Amer. Math. Soc. 04 (1998), pp. 56-62
• Publisher Identifier: S 1079-6762(98)00048-1
• 1991 Mathematics Subject Classification. Primary 60B12, 60F10
• Key words and phrases. Large deviations, occupation time, measure-valued process, branching Brownian motion, semilinear PDE, asymptotics
• Received by the editors March 17
• Posted on September 14, 1998
• Communicated by Mark Freidlin
• Comments (When Available)

Tzong-Yow Lee

University of Maryland, College Park, MD

E-mail address: tyl@math.umd.edu