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Non-uniformly expanding dynamics: Stability from a probabilistic viewpoint

Title
Non-uniformly expanding dynamics: Stability from a probabilistic viewpoint
Type
Article in International Scientific Journal
Year
2001
Journal
Vol. 7
Pages: 363-375
ISSN: 1078-0947
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-000-VX5
Abstract (EN): We present some recent developments in the theory of smooth dynamical systems exhibiting non-uniformly expanding behavior in the sense of [2]. In particular, we show that these systems have a finite number of SRB measures whose basins cover the whole manifold, and that under some uniform fast approach on the rates of expansion, their dynamics is statistical and stochastically stable.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 13
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