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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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https://doi.org/10.1007/978-3-319-12667-8allianpur-Robbins ergodic theorem for planar ., to extend Spitzer’s theorem: . into a multidimensional result for the winding numbers (., .,…, .) of planar . around . points (all notations which may be alluded to, but not defined in this chapter are found in Pitman-Yor [75]).
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On principal values of Brownian and Bessel local times,le, partly because of the fundamental identity between Fourier transforms: . If, in (10.1), ƒ is assumed to be Hölder continuous, and has compact support, then the limit in . exists for every .. This remark applies to ƒ(.) = ., ., the function, in the space variable ., of the local times of Brownian motion at time ..
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978-3-540-22347-4Springer-Verlag Berlin Heidelberg 2008
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