Czechoslovak Mathematical Journal, first online, pp. 1-15
On the maximal run-length function in the Lüroth expansion
Yu Sun, Jian Xu
Received September 9, 2016. First published January 18, 2018.
Abstract: 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.
Affiliations: Yu Sun, Faculty of Science, Jiangsu University, 301 Xuefu Rd, Jingkou, 212013 Zhenjiang, Jiangsu, P. R. China, e-mail: firstname.lastname@example.org; Jian Xu (corresponding author), School of Mathematics and Statistics, Huazhong University of Science and Technology, 1037 Luoyu Rd, Hongshan, 430074 Wuhan, Hubei, China, e-mail: email@example.com