We consider families of hyperbolic maps and describe conditions for a fixed reference point to have its orbit evenly distributed for maps corresponding to generic parameter values.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm206-0-15,
author = {Mark Pollicott},
title = {Normal points for generic hyperbolic maps},
journal = {Fundamenta Mathematicae},
volume = {205},
year = {2009},
pages = {271-280},
zbl = {1186.37040},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm206-0-15}
}
Mark Pollicott. Normal points for generic hyperbolic maps. Fundamenta Mathematicae, Tome 205 (2009) pp. 271-280. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm206-0-15/