Abstract
The exponent ξ d for the probability of nonintersection of two random walks starting at the same point is considered. It is proved that 1/2<ξ2⩽3/4. Monte Carlo simulations are done to suggest ξ2=0.61⋯ and ξ3≈0.29.
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Burdzy, K., Lawler, G.F. & Polaski, T. On the critical exponent for random walk intersections. J Stat Phys 56, 1–12 (1989). https://doi.org/10.1007/BF01044226
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DOI: https://doi.org/10.1007/BF01044226