Browsing Mathematics, Department of by Author "Lawler, Gregory F."
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Nonintersection exponents for Brownian paths. Part I: Existence and an invariance principle
Burdzy, Krzysztof; Lawler, Gregory F. (SpringerVerlag GmbH, 1990)Let X and Y be independent threedimensional Brownian motions, X(0) = (0; 0; 0), Y (0) = (1; 0; 0) and let p [subscript]r = P(X[0; r] [intersected with] Y [0; r] = [empty set]. Then the "non intersection exponent" [from] ... 
Nonintersection exponents for Brownian paths. Part II: Estimations and applications to a random fractal.
Burdzy, Krzysztof; Lawler, Gregory F. (Institute of Mathematical Statistics, 199007)Let X and Y be independent twodimensional Brownian motions, X(0) = (0; 0); Y(0) = ([epsilon]; 0), and let p([epsilon]) = P(X[0; 1] [intersected with] Y [0; 1] = [empty set], q([epsilon]) = {Y [0; 1] does not contain a ...