We extend a result of Doney [Probab. Theory Related Fields 107 (1997)] on renewal sequences with infinite mean to renewal sequences of operators. As a consequence, we get precise asymptotics for the transfer operator and for correlations in dynamical systems preserving an infinite measure (including intermittent maps with an arbitrarily neutral fixed point).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-2-5,
author = {S\'ebastien Gou\"ezel},
title = {Correlation asymptotics from large deviations in dynamical systems with infinite measure},
journal = {Colloquium Mathematicae},
volume = {122},
year = {2011},
pages = {193-212},
zbl = {1246.37017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-2-5}
}
Sébastien Gouëzel. Correlation asymptotics from large deviations in dynamical systems with infinite measure. Colloquium Mathematicae, Tome 122 (2011) pp. 193-212. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-2-5/