Publications [#259045] of Robert L. Wolpert

Papers Published

1. Wolpert, RL. "Wiener path intersections and local time." Journal of Functional Analysis 30.3 (January, 1978): 329-340. [doi]
   (last updated on 2026/02/08)

   Abstract:
   We study intersection properties of Wiener processes in the plane. For each positive integer k we show that k independent Wiener processes intersect almost surely in a set of Hausdorff dimension two, and that the set of points a single process visits at least k distinct times also has dimension two. We construct a functional on configurations of k independent Wiener processes that measures the extent to which the trajectories of the k processes intersect. We prove certain L^p estimates for this functional and show that it is a local time for a certain vector-valued multiparameter stochastic process. © 1978.