For noninvertible dynamical systems including continuous and smooth cases, the entropy theory via the preimage structure is considered. For continuous maps the pointwise preimage entropy is considered, and for partially hyperbolic endomorphisms the stable entropy and unstable entropy are considered. Several versions of variational principles are established.

报告人简介：朱玉峻，厦门大学数学科学学院教授，博士生导师。从事动力系统领域的研究，主要研究内容为动力系统的拓扑性质和统计性质。主持国家自然科学基金多项，入选教育部新世纪优秀人才支持计划。在 Adv. Math., Trans. Amer. Math. Soc., Ergodic Theory Dynam. Systems, J. Differential Equations等期刊上发表论文40多篇。