报告人: Jerome Buzzi(巴黎第十一大学,CNRS研究员)

报告时间:202111月23日 15:00-16:30  

腾讯会议:会议ID911 673 437


摘要:We will relate hyperbolic measures to two types of geometric

structures:

 1) any such measure is carried by a topological homoclinic class HC(O) which we will decompose as into so-called small classes, i.e.,closures of the transverse intersections of the stable and unstable manifolds of points in O. The point here is that these manifolds are connected, contrarily to those defined by whole periodic orbits.

 2) on a surface, any such measure can be covered by su-quadrilaterals with small diameters, that is topological disks bounds by segments of stable and unstable manifolds of a periodic orbit related to the measures.


邀请人:杨大伟