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Boundary trace of reflecting Brownian motions

Research paper by Itai Benjamini, Zhen-Qing Chen, Steffen Rohde

Indexed on: 02 Feb '04Published on: 02 Feb '04Published in: Probability Theory and Related Fields



Abstract

We establish a uniform dimensional result for normally reflected Brownian motion (RBM) in a large class of non-smooth domains. Hausdorff dimensions for the boundary occupation time and the boundary trace of RBM are determined. Extensions to stable-like jump processes and to symmetric reflecting diffusions are also given.