Summary
It is shown that for all mean zero, finite variance random walks, the critical non-intersection exponents are equal to those for Brownian motion. The method uses the local time of intersection.
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Research supported by grants from NSA and NSF
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Cranston, M.C., Mountford, T.S. An extension of a result of Burdzy and Lawler. Probab. Th. Rel. Fields 89, 487–502 (1991). https://doi.org/10.1007/BF01199790
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DOI: https://doi.org/10.1007/BF01199790