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Titlebook: Potential Analysis of Stable Processes and its Extensions; Krzysztof Bogdan,Tomasz Byczkowski,Zoran Vondracek Book 2009 Springer-Verlag Be

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书目名称Potential Analysis of Stable Processes and its Extensions
编辑Krzysztof Bogdan,Tomasz Byczkowski,Zoran Vondracek
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Potential Analysis of Stable Processes and its Extensions;  Krzysztof Bogdan,Tomasz Byczkowski,Zoran Vondracek Book 2009 Springer-Verlag Be
描述.Stable Lévy processes and related stochastic processes play an important role in stochastic modelling in applied sciences, in particular in financial mathematics. This book is about the potential theory of stable stochastic processes. It also deals with related topics, such as the subordinate Brownian motions (including the relativistic process) and Feynman–Kac semigroups generated by certain Schrödinger operators. The authors focus on classes of stable and related processes that contain the Brownian motion as a special case...This is the first book devoted to the probabilistic potential theory of stable stochastic processes, and, from the analytical point of view, of the fractional Laplacian. The introduction is accessible to non-specialists and provides a general presentation of the fundamental objects of the theory. Besides recent and deep scientific results the book also provides a didactic approach to its topic, as all chapters have been tested on a wide audience, including young mathematicians at a CNRS/HARP Workshop, Angers 2006...The reader will gain insight into the modern theory of stable and related processes and their potential analysis with a theoretical motivation fo
出版日期Book 2009
关键词Brownian motion; Lévy process; Stochastic processes; alpha-harmonic functions; fractional Laplacian; prob
版次1
doihttps://doi.org/10.1007/978-3-642-02141-1
isbn_softcover978-3-642-02140-4
isbn_ebook978-3-642-02141-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2009
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