Regularity and Irregularity of Superprocesses with (1 + β)-stable Branching Mechanism
Springer International Publishing (Verlag)
978-3-319-50084-3 (ISBN)
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.
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.
| Erscheinungsdatum | 28.01.2017 |
|---|---|
| Reihe/Serie | SpringerBriefs in Probability and Mathematical Statistics |
| Zusatzinfo | VIII, 77 p. 2 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
| Schlagworte | Hausdorff dimension • Holder Continuity • Local Unboundedness • Mathematics • mathematics and statistics • multifractal spectrum • probability and statistics • Probability theory and stochastic processes • Stable Process • stochastics • Superprocess |
| ISBN-10 | 3-319-50084-8 / 3319500848 |
| ISBN-13 | 978-3-319-50084-3 / 9783319500843 |
| Zustand | Neuware |
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