Seminars

Limit theorems related to continued fractions and beta-expansions

Author:房路路    Publicsh date:2017-11-08    Clicks:
报告人:房路路 (中山大学 博士)题目:Limit theorems related to continued fractions and beta-expansions时间:2017年11月9日9:00-10:00地点:创新研究院 803摘要:Given a real number x , we denote by   the exact number of partial quotients in the continued fraction expansion of given by the first  digits in its beta-expansion. In this talk, we first introduce several basic facts of continued fractio...

报告人:房路路 (中山大学 博士)

题目:Limit theorems related to continued fractions and beta-expansions

时间:2017年11月9日9:00-10:00

地点:创新研究院 803

摘要:Given a real number x , we denote by   the exact number of partial quotients in the continued fraction expansion of given by the first  digits in its beta-expansion. In this talk, we first introduce several basic facts of continued fractions and beta-expansions and then give some classical limit theorems for  , such as large deviations, central limit theorem and law of the iterated logarithm.