摘要

We present a new proof of the extended arc-sine law related to Walsh%26apos;s Brownian motion, known also as Brownian spider. The main argument mimics the scaling property used previously, in particular by D. Williams [12], in the 1-dimensional Brownian case, which can be generalized to the multivariate case. A discussion concerning the time spent positive by a skew Bessel process is also presented.

  • 出版日期2012-12-31

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