Title of article :
Historic set carries full hausdorff dimension
Author/Authors :
Ma ، G.-Z. - Anyang Normal University
Abstract :
We prove that the historic set for ratio of Birkhoff average is either empty or full of Hausdorff dimension in a class of one dimensional non-uniformly hyperbolic dynamical systems.
Keywords :
Historic set , Moran set , non , uniformly hyperbolic
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society