Rescaled Lotka–Volterra Models Converge to Super-Stable Processes
نویسندگان
چکیده
منابع مشابه
Rescaled Lotka-Volterra Models Converge to Super Stable Processes
Recently, it has been shown that stochastic spatial Lotka-Volterra models when suitably rescaled can converge to a super Brownian motion. We show that the limit process could be a super stable process if the kernel of the underlying motion is in the domain of attraction of a stable law. The corresponding results in Brownian setting were proved by Cox and Perkins (2005, 2008). As applications of...
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ژورنال
عنوان ژورنال: Journal of Theoretical Probability
سال: 2010
ISSN: 0894-9840,1572-9230
DOI: 10.1007/s10959-009-0273-z