摘要: Let {X(t),t ≥ 0} be Brownian motion on the Sierpinski gasket, E is a compact subset of[0,+∞). In this paper,we determine when X(E) has k-multiple points and when not.We also obtain the exact Hausdorff dimension of k-multiple times.
魏文展, 吴军. SELF-INTERSECTIONS OF BROWNIAN MOTION ON THE SIERPRISKI GASKET[J]. 数学物理学报(英文版), 1997, 17(3): 353-360.
Wei Wenzhan, Wu Jun. SELF-INTERSECTIONS OF BROWNIAN MOTION ON THE SIERPRISKI GASKET[J]. Acta mathematica scientia,Series B, 1997, 17(3): 353-360.