Ergodic properties of skew products with Lasota-Yorke type maps in the base
نویسندگان
چکیده
منابع مشابه
Ulam's Method for Lasota-Yorke Maps with Holes
Ulam’s method is a rigorous numerical scheme for approximating invariant densities of dynamical systems. The phase space is partitioned into connected sets and an inter-set transition matrix is computed from the dynamics; an approximate invariant density is read off as the leading left eigenvector of this matrix. When a hole in phase space is introduced, one instead searches for conditional inv...
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Let T : I ?! I be a Lasota-Yorke map on the interval I, let Y be a non trivial sub-interval of I and g 0 : I ?! R + , be a strictly positive potential which belongs to BV and admits a conformal measure m. We give constructive conditions on Y ensuring the existence of absolutely continuous (w.r.t. m) conditionally invariant probability measures to non absorption in Y. These conditions imply also...
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For a large class of piecewise expanding C1,1 maps of the interval we prove the Lasota-Yorke inequality with a constant smaller than the previously known 2/ inf |τ ′|. Consequently, the stability results of Keller-Liverani [7] apply to this class and in particular to maps with periodic turning points. One of the applications is the stability of acim’s for a class of W-shaped maps. Another appli...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1993
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-106-1-45-57