报告题目：Entropy via preimage structure for maps
报告人： 朱玉峻教授（厦门大学）
报告时间：12月10日（周二）下午3:00-4:00
报告地点：数学楼307
摘要：For noninvertible dynamical systems, we investigate entropy via preimage sets. For a continuous map, we introduce a notion of pointwise metric preimage entropy. For systems with uniform separation of preimages, we establish a variational principle between this version of pointwise metric preimage entropy and pointwise topological entropies introduced by Hurley. Under the same condition, the notion coincides with folding entropy introduced by Ruelle. For a partially hyperbolic endomorphism on a closed manifold, we introduce notions of stable topological and metric entropies, and establish a variational principle relating them. (This is a joint work with Weisheng Wu)