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Regularity and irregularity of super...
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Mytnik, Leonid.
Regularity and irregularity of superprocesses with (1 + [beta])-stable branching mechanism
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Regularity and irregularity of superprocesses with (1 + [beta])-stable branching mechanism/ by Leonid Mytnik, Vitali Wachtel.
作者:
Mytnik, Leonid.
其他作者:
Wachtel, Vitali.
出版者:
Cham :Springer International Publishing : : 2016.,
面頁冊數:
viii, 77 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
標題:
Branching processes. -
電子資源:
http://dx.doi.org/10.1007/978-3-319-50085-0
ISBN:
9783319500850
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
Standard No.: 10.1007/978-3-319-50085-0doiSubjects--Topical Terms:
527827
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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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.
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