@article { author = {Ma, G.-Z.}, title = {Historic set carries full hausdorff dimension}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {7}, pages = {2339-2347}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, 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}, url = {http://bims.iranjournals.ir/article_1115.html}, eprint = {http://bims.iranjournals.ir/article_1115_1c9ffd5a7475a95dd5b010f5426739bf.pdf} }