An asymptotic result of super-Brownian motion on hyperbolic space

An asymptotic result of super-Brownian motion on hyperbolic space

SUPERPROCESS is one kind of measure-valued branching Markov processes. In the recentdecades many results of superprocesses on Euclidean spaces and on general abstract spaces havebeen obtained, but there is only little work on Riemannian manifold. In this note, wewill consider the super-Brownian moti...

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Veröffentlicht in:Chinese science bulletin 1997-08, Vol.42 (15), p.1240-1244
1. Verfasser: Tang, Jiashan
Format: Artikel
Sprache:eng
Schlagworte:
asymptotic
Brownian motion
hitting
hyperbolic
Hyperbolic coordinates
motion
probability
radial
space
super-Brownian
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Zusammenfassung:SUPERPROCESS is one kind of measure-valued branching Markov processes. In the recentdecades many results of superprocesses on Euclidean spaces and on general abstract spaces havebeen obtained, but there is only little work on Riemannian manifold. In this note, wewill consider the super-Brownian motions on the hyperbolic space of dimension d and give anasymptotic result of this process (see Corollary 1 below). Iscoe investigated a similar prob-
ISSN:1001-6538
2095-9273
1861-9541
2095-9281
DOI:10.1007/BF02882748