G.-Z. Ma

School of Mathematics and Statistics‎, ‎Anyang Normal University‎, ‎Henan‎, ‎455000‎, ‎China.

[ 1 ] - Historic set carries full hausdorff dimension

‎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.

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