WIAS Preprint No. 1385, (2008)

Hölder index for density states of (alpha,1,beta)-superprocesses at a given point


  • Fleischmann, Klaus
  • Mytnik, Leonid
  • Wachtel, Vitali

2010 Mathematics Subject Classification

  • 60J80 60G57


  • Hölder continuity at a given point, optimal exponent, multifractal, structure, Hausdorff dimension


A Hölder regularity index at given points for density states of (alpha,1,beta)-superprocesses with alpha>1+beta is determined. It is shown that this index is strictly greater than the optimal index of local Holder continuity for those density states.

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