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Fractal sets determined by dilation-stable processes

Authors:	Yanyan Hou Jiangang Ying Chaoshou Dai

Institution:	^aDepartment of Mathematics, Zhejiang University, Hangzhou 310027, PR China ^bDepartment of Mathematics, Fudan University, Shanghai 200433, PR China ^cDepartment of Mathematics, Xuzhou Normal University, Xuzhou 221116, PR China

Abstract:	Let be a dilation-stable process on . We determine a Hausdorff measure function (a) such that the fractal set X0,1]={X(t):0t1} has positive finite -measure. We also investigate the packing measure of X0,1].

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