Squared Bessel processes of positive and negative dimension embedded in Brownian local times

The Ray--Knight theorems show that the local time processes of various path fragments derived from a one-dimensional Brownian motion $B$ are squared Bessel processes of dimensions $0$, $2$, and $4$. It is also known that for various singular perturbations $X= |B| + \mu \ell$ of a reflecting Brownian...

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Bibliographic Details
Main Authors: Pitman, J, Winkel, M
Format: Journal article
Published: Institute of Mathematical Statistics 2018