Abstract
Define the recurrence set of Gauss transformation $T$ on the field of Laurent series as following $$E(x_0)=\{x\in I: T^n(x)\in I_{t_n}(x_0) for infinitely many $n$\},$$ where $I_{t_n}(x_0)$ denotes $t_n$-th order cylinder of $x_0$. In this paper, the Hausdorff dimension of the set $E(x_0)$ is determined.
Citation
Sikui Wang. Lan Zhang. "Hausdorff dimension of the recurrence sets of Gauss transformation on the field of Laurent series." Funct. Approx. Comment. Math. 43 (2) 161 - 170, December 2010. https://doi.org/10.7169/facm/1291903395
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