报告人:麻连刚博士(Liverpool大学)
报告题目:Haas-Molnar continued fractions and metric Diophantine approximation
报告摘要:This is a joint work with Prof. R. Nair. Haas-Molnar maps are a family of maps on the unit interval
introduced by A. Haas and D. Molnar in 2003. They include the regular continued fraction map and A. Renyi's
backward continued fraction map as important special cases.
Let $\theta_n(x)$ be defined by $q_n^2|x-p_n/q_n|$ in the case of regular continued fraction expansion.
In this talk, we will discuss the asymptotic properties of the average of $\theta_n$ in the case of Haas-Molnar maps.
报告时间:2017年4月21日下午16:00-17:00
报告地点:科技楼南楼605