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Kneading Theory for Triangular Maps | | Diana A. Mendes
; J. Sousa Ramos
; | | Date: |
7 Dec 2002 | | Subject: | Dynamical Systems MSC-class: 37B10; 37B40; 37E30, 15A69 | math.DS | | Affiliation: | ISCTE-Lisbon), J. Sousa Ramos (IST-Lisbon | | Abstract: | The main purpose of this paper is to present a kneading theory for two-dimensional triangular maps. This is done by defining a tensor product between the polynomials and matrices corresponding to the one-dimensional basis map and fiber map. We also define a Markov partition by rectangles for the phase space of these maps. A direct consequence of these results is the rigorous computation of the topological entropy of two-dimensional triangular maps. The connection between kneading theory and subshifts of finite type is shown by using a commutative diagram derived from the homological configurations associated to $m-$modal maps of the interval. | | Source: | arXiv, math.DS/0301054 | | Services: | Forum | Review | PDF | Favorites | |
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