系列短课程:Smooth surface diffeomorphisms in positive entropy (VII):Geometric structures for hyperbolic measures on surfaces
报告人: Jerome Buzzi(巴黎第十一大学,CNRS研究员)
报告时间:2021年11月23日 15:00-16:30
腾讯会议:会议ID:911 673 437
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