Regularity and Irregularity of Superprocesses with (1 + β)-stable Branching Mechanism

This is the only book discussing multifractal properties of densities of stable superprocesses, containing latest achievements while also giving the reader a comprehensive picture of the state of the art in this area. It is a self-contained presentation of regularity properties of stable superproces...

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Bibliographic Details
Main Authors: Mytnik, Leonid (Author), Wachtel, Vitali (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Series:SpringerBriefs in Probability and Mathematical Statistics,
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Introduction, main results and discussion
  • Stochastic representation for X and description of the approach for determining regularity
  • Some simple properties of (2;d;b )-superprocesses
  • Analysis of jumps of superprocesses
  • Dichotomy for densities
  • Pointwise Hölder exponent at a given point: proof of Theorem 1.3
  • Elements of the proof of Theorem 1.5 and Proposition 1.6
  • A Estimates for the transition kernel of the one-dimensional Brownian motion
  • B Probability inequalities for a spectrally positive stable process
  • References.