Regularity and Irregularity of Superprocesses with (1 + ß)-stable Branching Mechanism
Published on 3. January 2017
VIII, 77 pages
978-3-319-50085-0 (ISBN)
Description
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 superprocesses and proofs of main results and can serve as an introductory text for a graduate course. There are many heuristic explanations of technically involved results and proofs and the reader can get a clear intuitive picture behind the results and techniques.
More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
VIII, 77 p. 2 illus.
File size
1,19 MB
ISBN-13
978-3-319-50085-0 (9783319500850)
DOI
10.1007/978-3-319-50085-0
Schweitzer Classification
Other editions
Additional editions
Leonid Mytnik | Vitali Wachtel
Regularity and Irregularity of Superprocesses with (1 + ß)-stable Branching Mechanism
Book
01/2017
Springer
€53.49
Shipment within 10-15 days
Content
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.
