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Titlebook: Classical Potential Theory and Its Probabilistic Counterpart; Joseph L. Doob Book 2001 Springer-Verlag Berlin Heidelberg 2001 31XX.Brownia

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书目名称Classical Potential Theory and Its Probabilistic Counterpart
编辑Joseph L. Doob
视频video
概述Includes supplementary material:
丛书名称Classics in Mathematics
图书封面Titlebook: Classical Potential Theory and Its Probabilistic Counterpart;  Joseph L. Doob Book 2001 Springer-Verlag Berlin Heidelberg 2001 31XX.Brownia
描述From the reviews: "This huge book written in several years by one of the few mathematicians able to do it, appears as a precise and impressive study (not very easy to read) of this bothsided question that replaces, in a coherent way, without being encyclopaedic, a large library of books and papers scattered without a uniform language. Instead of summarizing the author gives his own way of exposition with original complements. This requires no preliminary knowledge. ...The purpose which the author explains in his introduction, i.e. a deep probabilistic interpretation of potential theory and a link between two great theories, appears fulfilled in a masterly manner"..M. Brelot in Metrika (1986)
出版日期Book 2001
关键词31XX; Brownian motion; Markov process; Martingale; Potential theory; Probabilistic Potential Theory; Stoch
版次1
doihttps://doi.org/10.1007/978-3-642-56573-1
isbn_softcover978-3-540-41206-9
isbn_ebook978-3-642-56573-1Series ISSN 1431-0821 Series E-ISSN 2512-5257
issn_series 1431-0821
copyrightSpringer-Verlag Berlin Heidelberg 2001
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Parabolic Potential Theory: Basic Factss the set of points of . that are endpoints of continuous [strictly] downward-directed arcs from ξ̇. That is, η̇ is [strictly] below ξ̇ relative to Ḋ if and only if there is a continuous function . from [0, 1] into Ḋ for which .(0)=ξ̇, .(1)=η̇, and ord . is a [strictly] decreasing function. The . of
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Places/Non-places: Galicia on the ,uclidean topology. Since the fine topology is defined intrinsically in terms of superharmonic functions, it is not surprising that this topology plays a fundamental role in classical potential theory.
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Classical Potential Theory and Its Probabilistic Counterpart
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