CHEN Xiaoping, LIN Huonan, . Hausdorff Dimension for Range and Graph of Multi-Parameter Operator Stable L\'{e}vy Processes[J]. Chinese Journal of Applied Probability and Statistics, 2019, 35(6): 551-557.
Citation: CHEN Xiaoping, LIN Huonan, . Hausdorff Dimension for Range and Graph of Multi-Parameter Operator Stable L\'{e}vy Processes[J]. Chinese Journal of Applied Probability and Statistics, 2019, 35(6): 551-557.
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Hausdorff Dimension for Range and Graph of Multi-Parameter Operator Stable L\'{e}vy Processes

  • College of Mathematics and Informatics FJKLMAA, Fujian Normal University, Fuzhou, 350117, China

Funds: The project was supported by the National Natural Science Foundation of China (Grant No. 11601083), the Program for Probability and Statistics: Theory and Application (Grant No. IRTL1704) and the Program for Innovative Research Team in Science and Technology in Fujian Province University (IRTSTFJ).
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  • Corresponding author:

    CHEN Xiaoping, E-mail: xpchen@fjnu.edu.cn

    Graphical Abstract
    • 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.
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