N指标d维广义Wiener过程象集内点存在性

The Existence of Interior Points of Image Set of N Parameter d Dimension Generalized Wiener Process

令Ｗ（ｔ）：ＩＲＮ＋→ＩＲｄ是Ｎ指标ｄ维广义Ｗｉｅｎｅｒ过程，对任意紧集ＥＩＲＮ＋＼｛ｏ｝，如果ｄｉｍＥ＞βｄ２，那么，Ｗ（Ｅ）几乎处处存在内点．ＢｒｏｗｎｉａｎＳｈｅｅｔ为特例．

Let (t): IR R +→ IR d be N parameter d dimension of generalized Wiener process, for any compact set E  IR N + } , if dimE> βd 2, then (E) exists interior points with probability 1. Brownian Sheet is its special case.