caa a22 4500 467893322 CHVBK 20180406152755.0 cr unu---uuuuu 170328e20061001xx s 000 0 eng 10.1007/s10955-006-9183-y doi (NATIONALLICENCE)springer-10.1007/s10955-006-9183-y Large Deviations for Non-Uniformly Expanding Maps [Elektronische Daten] [V. Araújo, M. Pacifico] We obtain large deviation bounds for non-uniformly expanding maps with non-flat singularities or criticalities and for partially hyperbolic non-uniformly expanding attracting sets. That is, given a continuous function we consider its space average with respect to a physical measure and compare this with the time averages along orbits of the map, showing that the Lebesgue measure of the set of points whose time averages stay away from the space average tends to zero exponentially fast with the number of iterates involved. As easy by-products we deduce escape rates from subsets of the basins of physical measures for these types of maps. The rates of decay are naturally related to the metric entropy and pressure function of the system with respect to a family of equilibrium states. Springer Science+Business Media, Inc., 2006 non-uniform expansion nationallicence physical measures nationallicence hyperbolic times nationallicence large deviations nationallicence Araújo V. Instituto de Matemática, Universidade Federal do Rio de Janeiro, C. P. 68.530, 21.945-970, Rio de Janeiro, RJ, Brazil aut Pacifico M. Instituto de Matemática, Universidade Federal do Rio de Janeiro, C. P. 68.530, 21.945-970, Rio de Janeiro, RJ, Brazil aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/2(2006-10-01), 411-453 0022-4715 125:2<411 2006 125 10955 https://doi.org/10.1007/s10955-006-9183-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9183-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Araújo V. Instituto de Matemática, Universidade Federal do Rio de Janeiro, C. P. 68.530, 21.945-970, Rio de Janeiro, RJ, Brazil aut NATIONALLICENCE 700 1- Pacifico M. Instituto de Matemática, Universidade Federal do Rio de Janeiro, C. P. 68.530, 21.945-970, Rio de Janeiro, RJ, Brazil aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/2(2006-10-01), 411-453 0022-4715 125:2<411 2006 125 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer