​Entropy for Lagrangian Systems on Compact Manifolds with Complicated Fundamental Groups-大连理工大学数学科学学院(新)
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​Entropy for Lagrangian Systems on Compact Manifolds with Complicated Fundamental Groups

2018-05-09
 

Academic Report

 

Title: Entropy for Lagrangian Systems on Compact Manifolds with Complicated Fundamental Groups

Reporter: WANG Fang (Capital Normal University)

Time: May 11, 2018(Friday) PM 16:00-17:00

Location: A#1101 room, Innovation Park Buildin

Contact: A.Prof. CONG Hongzi(tel: 84708351-8137)

 

Abstract: We will briefly introduce some basic conclusions of the Mather theory of the positive definite Lagrange system, and then discuss the dynamic complexity of the Lagrange system defined on a tight manifold with a complex topology structure. We are committed to the fact that complex space structure will lead to complex dynamical behaviors in the system defined in this space. As a typical example, we will prove that if the fundamental group of the manifolds has exponential growth, any autonomous Lagrange system defined on this manifold has a positive topological entropy on the isoenergetic surface of the energy above the critical value.

The brief introduction to the reporter: Wang Fang is an associate professor of School of Mathematical Sciences, Capital Normal University. He received his doctorate degree in Northwestern University in 2008 and studied at Peking University, Northwestern University and University of Massachusetts. His research field involves differential dynamic system, Hamiltonian dynamic system, Mather theory and its applications in geometry, and statistical properties of dynamical systems. He chaired two projects of the National Natural Science Foundation of China and once participated in the National Natural Science Foundation of China.