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A polynomial bound for the lap number

Published in Qualitative theory of dynamical systems. 2002, vol. 3, no. 2, p. 325-329
Abstract In this note, we show a polynomial bound for the growth of the lap number of a piecewise monotone and piecewise continuous interval map with finitely many periodic points. We use Milnor and Thurston's kneading theory with the coordinates of Baladi and Ruelle, which are useful for extending the theory to the non continuous case.
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BAILLIF, Mathieu. A polynomial bound for the lap number. In: Qualitative theory of dynamical systems, 2002, vol. 3, n° 2, p. 325-329. https://archive-ouverte.unige.ch/unige:12367

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Deposited on : 2010-11-08

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