研究生教育创新计划高水平学术前沿讲座之十七

发布者:系统管理员发布时间:2012-03-21浏览次数:87

 

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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本活动由“我校研究生教育创新计划”等资助 

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