| Abstract: | The joint distribution of the variables and where t(t,x) is Brownian local time, is determined uniquely by the Laplace transform. The computation of this transform constitutes the basic content of this paper. The obtained expression is used for the derivation of the exact modulus of continuity of the process t(t, x) with respect to the variable x:.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 142, pp. 6–24, 1985. |
