期刊名称:Latin American Journal of Probability and Mathematical Statistics
电子版ISSN:1980-0436
出版年度:2015
卷号:XII
页码:261-291
出版社:Instituto Nacional De Matemática Pura E Aplicada
摘要:We prove the convergence of the extremal processes for variable speedbranching Brownian motions where the "speed functions", that describe the timeinhomogeneousvariance, lie strictly below their concave hull and satisfy a certainweak regularity condition. These limiting objects are universal in the sense thatthey only depend on the slope of the speed function at 0 and the nal time t.The proof is based on previous results for two-speed BBM obtained in Bovier andHartung (2014) and uses Gaussian comparison arguments to extend these to thegeneral case.