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The incipient infinite cluster in high-dimensional percolation
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Asymptotic results for super-Brownian motions and
semilinear differential equations
Tzong-Yow Lee
Abstract.
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
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