caa a22 4500 46789213X CHVBK 20180406152752.0 cr unu---uuuuu 170328e20060501xx s 000 0 eng 10.1007/s10955-006-9059-1 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9059-1 On the Continuity of the SRB Entropy for Endomorphisms [Elektronische Daten] [José Alves, Krerley Oliveira, Ali Tahzibi] We consider classes of dynamical systems admitting Markov induced maps. Under general assumptions, which in particular guarantee the existence of SRB measures, we prove that the entropy of the SRB measure varies continuously with the dynamics. We apply our result to a vast class of non-uniformly expanding maps of a compact manifold and prove the continuity of the entropy of the SRB measure. In particular, we show that the SRB entropy of Viana maps varies continuously with the map. Springer Science+Business Media, Inc., 2006 SRB measures nationallicence entropy nationallicence induced maps nationallicence non-uniform expansion nationallicence Alves José Departamento de Matemática Pura, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal aut Oliveira Krerley Departamento de Matemática, Universidade Federal de Alagoas, Campus A. C. Simões s/n, 57000-000, Maceió, Brazil aut Tahzibi Ali Departamento de Matemática, ICMC-USP São Carlos, Caixa Postal 668, 13560-970, São Carlos, Brazil aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/4(2006-05-01), 763-785 0022-4715 123:4<763 2006 123 10955 https://doi.org/10.1007/s10955-006-9059-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9059-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Alves José Departamento de Matemática Pura, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal aut NATIONALLICENCE 700 1- Oliveira Krerley Departamento de Matemática, Universidade Federal de Alagoas, Campus A. C. Simões s/n, 57000-000, Maceió, Brazil aut NATIONALLICENCE 700 1- Tahzibi Ali Departamento de Matemática, ICMC-USP São Carlos, Caixa Postal 668, 13560-970, São Carlos, Brazil aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/4(2006-05-01), 763-785 0022-4715 123:4<763 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer