On the maximal run-length function in the Lüroth expansion

Czechoslovak Mathematical Journal

Yu Sun, Jian Xu¹ 

关键词: Lüroth expansion;    run-length function;    Hausdorff dimension;   

DOI  :  10.21136/CMJ.2018.0474-16

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  We obtain a metrical property on the asymptotic behaviour of the maximal run-length function in the Lüroth expansion. We also determine the Hausdorff dimension of a class of exceptional sets of points whose maximal run-length function has sub-linear growth rate.

【 授权许可】

Unknown