Linear multifractional multistable motion: LePage series representation and modulus of continuity

نویسندگان

  • Hermine Biermé
  • Céline Lacaux
چکیده

In this paper, we obtain an upper bound of the modulus of continuity of linear multifractional multistable random motions. Such processes are generalizations of linear multifractional α-stable motions for which the stability index α is also allowed to vary in time. In the case of linear multifractional α-stable motions, we improve the recent result of [2]. The main idea is to consider some conditionnally sub-Gaussian LePage series representations to fit the framework of [5].

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تاریخ انتشار 2012