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

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