Superprocesses with coalescing Brownian spatial motion as large-scale limits
A Superprocess with coalescing spatial motion is constructed in terms of one-dimensional excursions. Based on this construction, it is proved that the superprocess is purely atomic and arises as scaling limit of a special form of the superprocess with dependent spatial motion studied in Dawson et al. (Refs. 5, 19-20).
|Keywords||coalescing spatial motion, excursions, Poisson random measure, scaling limit, Superprocess|
|Journal||Journal of Theoretical Probability|
Dawson, D.A, Li, Z., & Zhou, X. (2004). Superprocesses with coalescing Brownian spatial motion as large-scale limits. Journal of Theoretical Probability, 17(3), 673–692. doi:10.1023/B:JOTP.0000040293.67957.e3