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Regularity and irregularity of super...

Mytnik, Leonid.

Regularity and irregularity of superprocesses with (1 + [beta])-stable branching mechanism

Record Type:	Electronic resources : Monograph/item
Title/Author:	Regularity and irregularity of superprocesses with (1 + [beta])-stable branching mechanismby Leonid Mytnik, Vitali Wachtel.
Author:	Mytnik, Leonid.
other author:	Wachtel, Vitali.
Published:	Cham :Springer International Publishing :2016.
Description:	viii, 77 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Branching processes.
Online resource:	http://dx.doi.org/10.1007/978-3-319-50085-0
ISBN:	9783319500850$q(electronic bk.)

Regularity and irregularity of superprocesses with (1 + [beta])-stable branching mechanism
Mytnik, Leonid.

Regularity and irregularity of superprocesses with (1 + [beta])-stable branching mechanism[electronic resource] /by Leonid Mytnik, Vitali Wachtel. - Cham :Springer International Publishing :2016. - viii, 77 p. :ill., digital ;24 cm. - 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 Holder 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$q(electronic bk.)

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

185802
Branching processes.

LC Class. No.: QA274.76 / .M98 2016

Dewey Class. No.: 519.234

Regularity and irregularity of superprocesses with (1 + [beta])-stable branching mechanism
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100 1 $a Mytnik, Leonid. $3 766730
245 1 0 $a Regularity and irregularity of superprocesses with (1 + [beta])-stable branching mechanism $h [electronic resource] / $c by Leonid Mytnik, Vitali Wachtel.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a viii, 77 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in probability and mathematical statistics, $x 2365-4333
505 0 $a 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 Holder 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.
520 $a 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.
650 0 $a Branching processes. $3 185802
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
700 1 $a Wachtel, Vitali. $3 766731
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in probability and mathematical statistics. $3 732767
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-50085-0
950 $a Mathematics and Statistics (Springer-11649)