Title   name
2006 International Workshop on Dynamical Systems and Related Topics
  Speaker   Yong Zhang  
  Date 2006-08-03
  Place 부산대학교
  File  의 1 번째 Real Media 동영상입니다. 의 1 번째 강연자료입니다.
Abstract : We consider familes of nonuniformly expanding 1D maps whichis introduced by Q. Wang and L. S. Young containing the quadratic familyf1(x) = 1 ¡ ax2 as a special case. We prove that the volume of the setof points which do not have an exponential growth of the derivative, decaysexponentially fast. We also prove that the set of points that are not slowlyrecurrent to the critical set decays sub-exponentially. From these, we provethe continuity of the SRB measrues and the entropy of the SRB measures.