In this paper, the Holder continuity of Westwater process X_t is concerned. More precisely,we show that there exists a random variable r_C∈(0,∞) for any C∈(3,∞) such that|X_s-X_t|≤C|(s-t)|^(1/2)|log|t-s||<r_C....In this paper, the Holder continuity of Westwater process X_t is concerned. More precisely,we show that there exists a random variable r_C∈(0,∞) for any C∈(3,∞) such that|X_s-X_t|≤C|(s-t)|^(1/2)|log|t-s||<r_C.As its applications. we give two bounds respectively for the Hausdorff measure function of multipletime set of Westwater process, and the Hausdorff measure of the image X(E) of a Borel set Eby Westwater process.展开更多
基金This project is supported in part by the National Natural Science Foundation of China
文摘In this paper, the Holder continuity of Westwater process X_t is concerned. More precisely,we show that there exists a random variable r_C∈(0,∞) for any C∈(3,∞) such that|X_s-X_t|≤C|(s-t)|^(1/2)|log|t-s||<r_C.As its applications. we give two bounds respectively for the Hausdorff measure function of multipletime set of Westwater process, and the Hausdorff measure of the image X(E) of a Borel set Eby Westwater process.
