报告主题：自仿射分形的Lipschitz等价
报告人： 罗军 教授 （重庆大学）
报告时间：2019年6月17日（周一）11:00
报告地点：校本部G507
邀请人：刘见礼
报告摘要：Recently Lipschitz equivalence of self-similar sets on ${\mathbb R}^d$ has been studied extensively in the literature. However for self-affine sets the problem is more awkward and there are very few results. In this talk, we will introduce a $w$-Lipschitz equivalence by repacing the Euclidean norm with a pseudo-norm $w$. Under the open set condition, we prove that any two totally disconnected integral self-affine sets with a common matrix are $w$-Lipschitz equivalent if and only if their digit sets have equal cardinality. The main methods used are the technique of pseudo-norm and Gromov hyperbolic graph theory on iterated function systems.
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