Numbers with simply normal β-expansions
发布人: 曹思圆   发布时间: 2018-10-22   浏览次数: 28

主讲人:孔德荣(重庆大学)副教授 

时间:2018年10月22日, 13:00---14:00

地点:数学楼102

邀请人:李文侠


摘要:When β ∈ (1,2) it is well-known that almost every x ∈ [0, 1/(β-1)] has a continuum of β-expansions. In this talk we show that there exists a critical base β_T ≈ 1.80194, the unique zero in (1,2) of the polynomial x^3-x^2-2x+1, such that for β ∈ (1, β_T] every interior point of [0, 1/(β-1)] has a simply normal β-expansion, while for β ∈ (β_T, 2) there exists a point in [0, 1/(β-1)] that does not have a simply normal β-expansion. This is a joint work with Simon Baker.


报告人简介:荷兰代尔夫特理工大学博士,莱登大学博士后,在世界著名期刊  Transactions of the AMS,Advances in Mathematics,Math. Z等杂志上发表文章.