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  • 标题:Variable Speed Branching Brownian Motion 1. Extremal Processes in the Weak Correlation Regime
  • 本地全文:下载
  • 作者:Anton Bovier ; Lisa Hartung
  • 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.
  • 关键词:Gaussian processes; branching Brownian motion; variable speed; ex-;tremal processes; Gaussian comparison; cluster processes.
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