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Titlebook: Lévy Matters III; Lévy-Type Processes: Bj?rn B?ttcher,René Schilling,Jian Wang Book 2013 Springer International Publishing Switzerland 2013

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發(fā)表于 2025-3-21 17:19:04 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Lévy Matters III
副標(biāo)題Lévy-Type Processes:
編輯Bj?rn B?ttcher,René Schilling,Jian Wang
視頻videohttp://file.papertrans.cn/590/589282/589282.mp4
概述Over the past 10-15 years, we have seen a revival of general Lévy process theory, as well as a burst of new applications. There is a lively and growing research community in this area.Expository artic
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Lévy Matters III; Lévy-Type Processes: Bj?rn B?ttcher,René Schilling,Jian Wang Book 2013 Springer International Publishing Switzerland 2013
描述.This volume presents recent developments in the area of Lévy-type processes and more general stochastic processes that behave locally like a Lévy process. Although written in a survey style, quite a few results are extensions of known theorems, and others are completely new. The focus is on the symbol of a Lévy-type process: a non-random function which is a counterpart of the characteristic exponent of a Lévy process. The class of stochastic processes which can be associated with a symbol is characterized, various schemes constructing a stochastic process from a given symbol are discussed, and it is shown how one can use the symbol in order to describe the sample path properties of the underlying process. Lastly, the symbol is used to approximate and simulate Levy-type processes..This is the third volume in a subseries of the Lecture Notes in Mathematics called Lévy Matters. Each volume describes a number of important topics in the theory or applications of Lévy processes and pays tribute to the state of the art of this rapidly evolving subject with special emphasis on the non-Brownian world..
出版日期Book 2013
關(guān)鍵詞60-02;60J25;60J35;60G17;35S05;60J75;60G48;60G51; Feller process; Lévy-Khintchine formula; Lévy-type pro
版次1
doihttps://doi.org/10.1007/978-3-319-02684-8
isbn_softcover978-3-319-02683-1
isbn_ebook978-3-319-02684-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2013
The information of publication is updating

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A Primer on Feller Semigroups and Feller Processes,Throughout this chapter, . denotes a locally compact and separable space; later on we will restrict ourselves to the Euclidean space . and its subsets.
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發(fā)表于 2025-3-22 12:08:43 | 只看該作者
Feller Generators and Symbols,In this chapter we are going to study the structure of Feller generators. Throughout we assume that . or . = [0, .). Our exposition will heavily depend on methods from Fourier analysis. Let us briefly review the most important definitions and formulae.
6#
發(fā)表于 2025-3-22 16:09:03 | 只看該作者
Construction of Feller Processes,So far we have studied . conditions for an operator . to be the generator of a Feller process and we will now discuss . conditions.
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Sample Path Properties,In this chapter we will study certain properties of the sample paths of a Feller process.
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Approximation,We begin with a general remark on the convergence of operator semigroups based on Strang [308].
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