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Increment sizes of the principal value of Brownian local time - MaRDI portal

Increment sizes of the principal value of Brownian local time (Q1584539)

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scientific article; zbMATH DE number 1525165
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English
Increment sizes of the principal value of Brownian local time
scientific article; zbMATH DE number 1525165

    Statements

    Increment sizes of the principal value of Brownian local time (English)
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    5 November 2000
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    Let \(W\) be a standard Brownian motion and define \(Y(t)= \int^t_0{ds\over W(s)}\) as Cauchy's principal value related to local time. The modulus of continuity of \(Y\) in the sense of P. Lévy and the large increments of \(Y\) are determined.
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    local time
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    modulus of continuity
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    large increment
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    Brownian motion
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