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

• 作者： Mytnik, Leonid, author.
• 其他作者：
  • Wachtel, Vitali, author.
  • SpringerLink (Online service)
• 其他題名：
  • SpringerBriefs in probability and mathematical statistics.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： SpringerBriefs in probability and mathematical statistics,
• 主題： Branching processes. , Mathematics. , Probability Theory and Stochastic Processes.
• ISBN： 9783319500850 (electronic bk.) 、 9783319500843 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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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• 摘要註: 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.
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