Abstract
Let D be the Wiener sausage of width $\varepsilon$ around two-sided Brownian motion. The components of two-dimensional reflected Brownian motion in D converge to one-dimensional Brownian motion and iterated Brownian motion, respectively, as $\varepsilon$ goes to 0.
Citation
Krzysztof Burdzy. Davar Khoshnevisan. "Brownian motion in a Brownian crack." Ann. Appl. Probab. 8 (3) 708 - 748, August 1998. https://doi.org/10.1214/aoap/1028903448
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