Boundary Trace of Reflecting Brownian Motions

نویسندگان

  • Itai Benjamini
  • Zhen-Qing Chen
  • Steffen Rohde
چکیده

We establish a uniform dimensional result for normally reflected Brownian motion (RBM) in a large class of non-smooth domains. Exact Hausdorff dimensions for the boundary occupation time and the boundary trace of RBM are given. Extensions to stable-like jump processes and to symmetric reflecting diffusions are also mentioned. AMS Mathematics Subject Classification (2000): Primary 60G17, 60J60; Secondary 28A80, 30C35, 60G52, 60J50.

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تاریخ انتشار 2008