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On the continuity of the SRB entropy for endomorphisms

Title
On the continuity of the SRB entropy for endomorphisms
Type
Article in International Scientific Journal
Year
2006
Authors
alves, jf
(Author)
FCUP
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oliveira, k
(Author)
Other
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tahzibi, a
(Author)
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Journal
Vol. 123
Pages: 763-785
ISSN: 0022-4715
Publisher: Springer Nature
Scientific classification
FOS: Natural sciences > Physical sciences
Other information
Authenticus ID: P-004-M1E
Abstract (EN): 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.
Language: English
Type (Professor's evaluation): Scientific
Contact: jfalves@fc.up.pt; krerley@mat.ufal.br; tahzibi@icmc.sc.usp.br
No. of pages: 23
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