Lipschitz classification and optimal parametrization of self-similar sets
[TMCSC]
Nov 22-Dec 13, 2020
腾讯会议（线上）
ID: 695 3974 1517 Password: 2020
![[minicourse]饶辉2001122-1213-01.png](http://tianyuan.scu.edu.cn/upload/default/20201015/%5Bminicourse%5D%E9%A5%B6%E8%BE%892001122-1213-01.png "[minicourse]饶辉2001122-1213-01.png")
SPEAKER
饶辉（华中师范大学）
ABSTRACT
We will give three talks on Lipschitz classification and one talk on optimal parametrization of self-similar sets. On one hand, we will investigate the algebraic and metric Lipschitz invariants concerning self-similar sets, including group, ring, fields, dimensions, and multifractal spectrum. On the other hand, we will study the construction of bi-Lipschitz maps between fractals, using graph-directed structure, or using finite state automaton. For the second topic, we will give a general construction of spacefilling curves of self-similar sets, which generalize the prominent result of Peano in 1890.
SUPPORTED BY
国家天元数学西南中心
四川大学数学学院
VIDEOs
- Lipschitz classification and optimal parametrization of self-similar sets I
- 09:30 - 11:00, 2020-11-22 at 腾讯会议（线上）
- 饶辉（华中师范大学）
- Lipschitz classification and optimal parametrization of self-similar sets II
- 09:30 - 11:00, 2020-11-29 at 腾讯会议（线上）
- 饶辉（华中师范大学）
- Lipschitz classification and optimal parametrization of self-similar sets III
- 09:30 - 11:00, 2020-12-06 at 腾讯会议（线上）
- 饶辉（华中师范大学）
- Lipschitz classification and optimal parametrization of self-similar sets IV
- 09:30 - 11:00, 2020-12-13 at 腾讯会议（线上）
- 饶辉（华中师范大学）