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

Xue Li and Chao Ma ()
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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

Mathematics, 2024, vol. 12, issue 20, 1-11

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 .

Keywords: nonautonomous; dynamical system; cantor series expansion; Hausdorff dimension (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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