Fractals in beta-dynamical systems

[TMCSC]

Oct 18-Nov 15, 2020

腾讯会议（线上）

ID: 738 5313 3992     Password: 202020

[minicourse]李兵2001018-1115.png

SPEAKER

李兵（华南理工大学）

ABSTRACT

In this short course, we will introduce the beta-dynamical systems, beta-expansions and related fractal problems. For greedy beta-expansions, we study some fractal sets of real numbers whose orbits under beta-transformation share some common properties. For example, the partial sum of the greedy beta-expansion converges with the same order, the orbit is not dense, the orbit is always far from that of another point etc. The usual tool is to approximate the beta-transformation dynamical system by Markov subsystems. We also discuss the similar problems for intermediate beta-expansions.

SUPPORTED BY

国家天元数学西南中心

四川大学数学学院

VIDEOS

  • Fractals in beta-dynamical systems I
  • 14:30 - 16:30, 2020-10-18 at 腾讯会议（线上）
  • 李兵（华南理工大学）
  • Fractals in beta-dynamical systems II
  • 14:30 - 16:30, 2020-10-25 at 腾讯会议（线上）
  • 李兵（华南理工大学）
  • Fractals in beta-dynamical systems III
  • 14:30 - 16:30, 2020-11-01 at 腾讯会议（线上）
  • 李兵（华南理工大学）
  • Fractals in beta-dynamical systems IV
  • 14:30 - 16:30, 2020-11-08 at 腾讯会议（线上）
  • 李兵（华南理工大学）
  • Fractals in beta-dynamical systems V
  • 14:30 - 16:30, 2020-11-15 at 腾讯会议（线上）
  • 李兵（华南理工大学）