Let {X(t),t greater than or equal to 0} be Brownian motion on the Sierpinski gasket, E is a compact subset of [0,+infinity). In this paper, we determine when X(E) has k-multiple points and when not. We also obtain the...Let {X(t),t greater than or equal to 0} be Brownian motion on the Sierpinski gasket, E is a compact subset of [0,+infinity). 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.展开更多
文摘Let {X(t),t greater than or equal to 0} be Brownian motion on the Sierpinski gasket, E is a compact subset of [0,+infinity). 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.