Infinite Kneading Matrices and Weighted Zeta Functions of Interval Maps
نویسندگان
چکیده
منابع مشابه
Infinite Kneading Matrices and Weighted Zeta Functions of Interval Maps
We consider a piecewise continuous, piecewise monotone interval map and a weight of bounded variation, constant on homtervals and continuous at periodic points of the map. With these data we associate a sequence of weighted Milnor-Thurston kneading matrices, converging to a countable matrix with coeecients analytic functions. We show that the determinants of these matrices converge to the inver...
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A dynamical zeta function Ç and a transfer operator Sf are associated with a piecewise monotone map / of the interval [0,1] and a weight function g . The analytic properties of f and the spectral properties of S? are related by a theorem of Baladi and Keller under an assumption of "generating partition". It is shown here how to remove this assumption and, in particular, extend the theorem of Ba...
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Nowadays, interval comparison matrices (ICM) take an important role in decision making under uncertainty. So it seems that a brief review on solution methods used in ICM should be useful. In this paper, the common methods are divided into four categories that are Goal Programming Method (GPM), Linear Programming Method (LPM), Non-Linear Programming Method (NLPM) and Statistic Analysis (SA). GPM...
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The purpose of this paper is to present a weighted kneading theory for one-dimensional maps with a hole. We consider extensions of the kneading theory of Milnor and Thurston to expanding discontinuous maps with a hole and introduce weights in the formal power series. This method allows us to derive techniques to compute explicitly the topological entropy, the Hausdorff dimension, and the escape...
متن کاملWeighted Kneading Theory of Unidimensional Maps with Holes
Abstract. The purpose of this paper is to present a weighted kneading theory for unidimensional maps with holes. We consider extensions of the kneading theory of Milnor and Thurston to expanding discontinuous maps with holes and introduce weights in the formal power series. This method allows us to derive techniques to compute explicitly the topological entropy, the Hausdorff dimension and the ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1995
ISSN: 0022-1236
DOI: 10.1006/jfan.1995.1029