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The Shrinking Target Problem for Nonautonomous Dynamical Systems Corresponding to Cantor Series Expansion over Formal Laurent Series

Author

Listed:
  • Xue Li

    (Faculty of Innovation Engineering, Macau University of Science and Technology, Macao 999078, China)

  • Chao Ma

    (Department of Engineering Science, Faculty of Innovation Engineering, Macau University of Science and Technology, Macau 999078, China)

Abstract

In this paper, we study the shrinking target problem regarding Q -Cantor series expansions of the formal Laurent series field. We provide the Hausdorff dimension of a very general shrinking target scheme generated by the nonautonomous dynamical system on the unit disk I .

Suggested Citation

  • Xue Li & Chao Ma, 2024. "The Shrinking Target Problem for Nonautonomous Dynamical Systems Corresponding to Cantor Series Expansion over Formal Laurent Series," Mathematics, MDPI, vol. 12(20), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:20:p:3166-:d:1495736
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