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Titlebook: Aspects of Brownian Motion; Roger Mansuy,Marc Yor Textbook 2008 Springer-Verlag Berlin Heidelberg 2008 Bessel process.Brownian functionals

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0172-5939 ts of researchers from core probability theory out to applied fields such as polymer physics and mathematical finance. .978-3-540-22347-4978-3-540-49966-4Series ISSN 0172-5939 Series E-ISSN 2191-6675
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https://doi.org/10.1007/BFb0091561his Gaussian space is precisely equal to the first Wiener chaos of ., that is: . In fact, the properties of the transformations being studied may be deduced from corresponding properties of associated transformations of . (IR., .), thanks to the Hilbert spaces isomorphism: . between .(.) and . (IR.,
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Exploring Uncertainty in Risk Measurementn this Chapter, we present further results, which extend Lévy’s computation in the three following directions, in which . is replaced respectivelyby:.A posterior justification of these extensions may be that the results whichone obtains in each of these directions are particularly simple, this being
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