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  • 标题:Yet another condition for absence of collisions for competing Brownian particles
  • 本地全文:下载
  • 作者:Tomoyuki Ichiba ; Andrey Sarantsev
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2017
  • 卷号:22
  • DOI:10.1214/17-ECP41
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要:Consider a finite system of rank-based competing Brownian particles, where the drift and diffusion of each particle depend only on its current rank relative to other particles. We present a simple sufficient condition for absence of multiple collisions of a given order, continuing the earlier work by Bruggeman and Sarantsev (2015). Unlike in that paper, this new condition works even for infinite systems.
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