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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.