Titlebook: Regularity and Irregularity of Superprocesses with (1 + β)-stable Branching Mechanism; Leonid Mytnik,Vitali Wachtel Book 2016 The Author(s

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Stochastic representation for , and description of the approach for determining regularity,Let . be a (2,?.,?.)-superprocess, that is, it satisfies the martingale problem?(.). The following lemma contains a semimartingale decomposition of . which includes stochastic integrals with respect to discontinuous martingale measures.

breadth

Jingoism

Dichotomy for densities,The non-random part . ? ..(.) is differentiable. The continuity of ..(??) follows from the classical

interpose

,Pointwise H?lder exponent at a given point: proof of Theorem 1.3,Let us first give a heuristic explanation for the value of .. According to Lemmas?. and?., the maximal jump at time . and spatial point . near point ..?=?0 is of order ((. ? .)?|?.?|?)..

BLOT

Elements of the proof of Theorem 1.5 and Proposition 1.6,The spectrum of singularities of .. coincides with that of .. Consequently, to prove Theorem ., we have to determine Hausdorff dimensions of the sets . and this is done in the next two sections.

JIBE

Leonid Mytnik,Vitali WachtelThe book may serve as an introductory text for a graduate course.Self-contained presentation of regularity properties of stable superprocesses and proofs of main results.Only book discussing multifrac

subordinate

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SpringerBriefs in Probability and Mathematical Statisticshttp://image.papertrans.cn/r/image/825560.jpg

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