Multifractal analysis of superprocesses with stable branching in dimension one

• Mytnik, Leonid ^[1] ; Wachtel, Vitali ^[2]
  1. [1] Technion – Israel Institute of Technology

     Technion – Israel Institute of Technology

     Israel

     
  2. [2] University of Munich
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 43, Nº. 5, 2015, págs. 2763-2809
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We show that density functions of a (α,1,β)-superprocesses are almost sure multifractal for α>β+1, β∈(0,1) and calculate the corresponding spectrum of singularities.