報告人:Professor Donghan Kim

Dongguk University                 

報告題目: A new complexity function of repetition and irrationality exponents

報告摘要: 

By introducing a new complexity function in combinatorics on words, we deduce a lower bound for the irrationality exponent of real numbers whose sequence of b-ary digits is a Sturmian sequence over {0,1,…,b−1}. If the irrationality exponent of \xi is equal to 2 or slightly greater than 2, then the b-ary expansion of \xi cannot be `too simple', in a suitable sense. It establishes an unexpected connection between the irrationality exponent of a real number and its b-ary expansion.

報告時間: 2016年9月6日下午16：30-17：30

報告地點: 科技樓南樓702室