Embedding processes in Brownian motion in 𝑅ⁿ

Falkner, Neil

doi:10.1090/S0002-9947-1981-0626478-9

Embedding processes in Brownian motion in $\textbf {R}^{n}$
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Trans. Amer. Math. Soc. 267 (1981), 335-363 Request permission

Erratum: Trans. Amer. Math. Soc. 272 (1982), 811.

Abstract:

We give a potential-theoretic characterization of the right-continuous processes which can be embedded in Brownian motion in ${{\mathbf {R}}^n}$ by means of an increasing family of standard stopping times. In general it is necessary to use a Brownian motion process whose filtration is richer than the natural one.

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On perfect measures

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