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Analysis of jumps of superprocesses

Leonid Mytnik, Vitali Wachtel

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

This chapter is devoted to the analysis of jumps of (2, d, β)-superprocesses. The results of this chapter will be crucial for proofs of main theorems, since regularity properties of (2, d, β)-superprocesses depend heavily on presence and intensity of big jumps at certain locations. Note that the analysis of jumps of the processes is often very helpful in deriving their multifractal properties (see, e.g., [28] for the typical use of this method).

Original languageEnglish
Title of host publicationSpringerBriefs in Probability and Mathematical Statistics
PublisherSpringer Nature
Pages25-32
Number of pages8
DOIs
StatePublished - 2016

Publication series

NameSpringerBriefs in Probability and Mathematical Statistics

Keywords

  • Maximum Jumping
  • Measure-valued Process
  • Multifractal Properties
  • Regularity Properties
  • Superprocesses

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

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