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The extremes of dependent chi-processes attracted by the Brown-Resnick process

  • Junjie Sun,
  • Zhongquan Tan

摘要

Motivated by some recent works on the topic of the Brown-Resnick process, we study the functional limit theorem for normalized pointwise maxima of dependent chi-processes. It is proven that the properly normalized pointwise maxima of those processes are attracted by the Brown-Resnick process.