N指标d维广义Wiener过程象集代数和性质

THE PROPERTIES OF ALGEBRAIC SUM OF IMAGE SET OF N PARAMETER D DIMENSION GENERALIZED WIENER PROCESS

令Ｗ（ｔ）：ＲＮ＋→Ｒｄ是Ｎ指标ｄ维广义Ｗｉｅｎｅｒ过程，对任意紧集Ｅ，ＦＲＮ＋＼｛０｝，本文研究了代数和Ｗ（Ｅ）－Ｗ（Ｆ）的Ｈａｕｓｄｏｒｆ维数及内点存在性。

Let (t):R N +→R d be N parameter d dimension generalized Wiener process, for any compacts set E,FR N + },We study Hausdorff dimension and the existence of interior points of algebraic sum (E)-(F); This result contains and extends the result of Brownian Sheet.