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Introduction, main results, and discussion

Leonid Mytnik, Vitali Wachtel

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

Abstract

This book is devoted to regularity and fractal properties of superprocesses with (1 +β)-branching. Regularity properties of functions is the most classical question in analysis. Typically one is interested in such properties as continuity/discontinuity and differentiability. Starting from Weierstrass, who constructed an example of a continuous but nowhere differentiable function, people got more and more interested in such “strange” properties of functions. Trajectories of stochastic processes give a rich source of such functions.

Original languageEnglish
Title of host publicationSpringerBriefs in Probability and Mathematical Statistics
PublisherSpringer Nature
Pages1-8
Number of pages8
DOIs
StatePublished - 2016

Publication series

NameSpringerBriefs in Probability and Mathematical Statistics

Keywords

  • Brownian Motion
  • Gibbs Measure
  • Hausdorff Dimension
  • Random Measure
  • Regularity Property

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

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