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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Regularity and Irregularity of Superprocesses with (1 + β)-stable Branching Mechanism/ by Leonid Mytnik, Vitali Wachtel.
Author:	Mytnik, Leonid.
other author:	Wachtel, Vitali.
Description:	VIII, 77 p. 2 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Probabilities. -
Online resource:	https://doi.org/10.1007/978-3-319-50085-0
ISBN:	9783319500850

Regularity and Irregularity of Superprocesses with (1 + β)-stable Branching Mechanism
Mytnik, Leonid.

Regularity and Irregularity of Superprocesses with (1 + β)-stable Branching Mechanism[electronic resource] /by Leonid Mytnik, Vitali Wachtel. - 1st ed. 2016. - VIII, 77 p. 2 illus.online resource. - SpringerBriefs in Probability and Mathematical Statistics,2365-4333. - SpringerBriefs in Probability and Mathematical Statistics,.

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.

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. .

ISBN: 9783319500850

Standard No.: 10.1007/978-3-319-50085-0doiSubjects--Topical Terms:

527847
Probabilities.

LC Class. No.: QA273.A1-274.9

Dewey Class. No.: 519.2

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