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Hausdorff Dimension for Range and Graph of Multi-Parameter Operator Stable L\'{e}vy Processes
Authors:CHEN Xiaoping  LIN Huonan
Institution:College of Mathematics and Informatics FJKLMAA, Fujian Normal University, Fuzhou, 350117, China
Abstract:The lower Hausdorff dimension results for the range and the graph of multi-parameter operator stable L\'{e}vy processes are established. The consequences are completely determined by the eigenvalues of its exponent matrix.
Keywords:multi-parameter operator stable L\'{e}vy processes  Hausdorff dimension  range set  graph set  
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