Forcing of periodic orbits for interval maps and renormalization of piecewise affine maps

DOI10.1090/S0002-9939-96-03508-3zbMath0864.58035arXivmath/9410223OpenAlexW1556910384MaRDI QIDQ4714701

Marco Martens, Charles Tresser

Publication date: 6 July 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9410223

zbMATH Keywords

piecewise affine mapsinfinitely renormalizable mapsinterwinding

Mathematics Subject Classification ID

Ergodic theory (37A99) Low-dimensional dynamical systems (37E99)

Related Items (4)

Computing explicitly topological sequence entropy: the unimodal case ⋮ Full cascades of simple periodic orbits on the interval ⋮ On the Lebesgue measure of Li-Yorke pairs for interval maps ⋮ There are no piecewise linear maps of type 2^{∞}

Cites Work

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• Julia-Fatou-Sullivan theory for real one-dimensional dynamics
• Inducing, slopes, and conjugacy classes
• Monotonicity properties of the family of trapezoidal maps

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