时间:2012年3月25日
地点:管理科研楼1318
报告1:上午9:00-10:00
报告人:T.Downarowicz 教授,Institute of Mathematics and Computer Science, Wroclaw University of Technology
题目: Chaos in Ergodic Systems
摘要:We will define chaos in measurable dynamics and show that it is an isomorphism invariant and how it is related to the topological notion.
报告2:上午10:00-10:30
报告人:张国华 教授,复旦大学数学学院
题目:Entropy Theory of Countable Group Actions
摘要:One of central problems in ergodic theory is deciding when two measurable dynamical systems are measurably conjugate. The usual way to tackle the problem is to look for measure-isomorphism invariants. The concept of entropy is the most important isomorphism invariant among them. In this survey, I shall mainly discuss the (global and local) entropy theory about dynamical systems of countable group actions.
报告3:上午10::30-11:00
报告人:Dawid Huczek 博士,Institute of Mathematics and Computer Science, Wroclaw University of Technology
题目: Rank as a Function of Measure
摘要:We describe the topological and algebraical properties of rank as a function on the set of invariant measures on a topological dynamical system.
报告4:下午2:30-3:00
报告人:叶向东教授,我校数学学院
摘要:TBA
报告5:下午3:00-3:30
报告人:李健 博士,我校数学学院
题目:Dynamical characterization of C-sets and its application
摘要:In this talk, we will present a general correspondence between the algebra properties of $/bN$ and the sets defined by dynamical properties. In particular, we obtain a dynamical characterization of C-sets, where C-sets are the sets satisfying the strong Central Sets Theorem. As an application, we show that Rado systems are solvable in C-sets.
报告6:下午3:30-4:00
报告人:严可颂 博士,我校数学学院
题目:Sub-additive and Asymptotically Sub-additive topological pressure for Z^d-actions
摘要:We introduce the topological pressure for any sub-additive potentials and asymptotically Sub-additive potentials of Z^d-actions, and establish the variational principle for them.
报告7:下午4:00-4:30
报告人:李书平 博士,我校数学学院
题目:Bifurcations of a discrete prey-predator model with Holling type II functional response
摘要:We apply center manifold reduction and the method of normal forms to completely discuss bifurcations of a discrete prey-predator model. We give bifurcation curves analytically for transcritical bifurcation, flip bifurcation, Neimark-Sacker bifurcation and strong resonance separately, showing bifurcation phenomena not indicated in the previous work for the system.
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