期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2012
卷号：IX
页码：1-51
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：Since the seminal work of Dawson and Perkins, mutually catalytic versionsof superprocesses have been studied frequently. In this article we combine twoapproaches extending their ideas: the approach of adding correlations to the drivingnoise of the system is combined with the approach of obtaining new processesby letting the branching rate tend to infinity. The processes are considered on acountable site space.We introduce infinite rate symbiotic branching processes which surprisingly canbe interpreted as generalized voter processes with additional strength of opinions.Since many of the arguments go along the lines of known proofs this article iswritten in the style of a review article.
