Expanding direction of the period doubling operator

DOI10.1007/BF02099180zbMath0761.58038arXivmath/9201281MaRDI QIDQ1189235

Dennis Sullivan, Yunping Jiang, Takehiko Morita

Publication date: 26 September 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9201281

zbMATH Keywords

Perron-Frobenius operatorexpanding directionperiod doubling operator

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Dynamical systems with hyperbolic behavior (37D99)

Related Items (6)

Oscillating sequences, MMA and MMLS flows and Sarnak’s conjecture ⋮ Period doubling for \(C^{2+\epsilon}\) mappings ⋮ Transfer operators acting on Zygmund functions ⋮ On the Ruelle eigenvalue sequence ⋮ Explicit a priori bounds on transfer operator eigenvalues ⋮ Hénon-like maps with arbitrary stationary combinatorics

Cites Work

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• The universal metric properties of nonlinear transformations
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• Recycling of strange sets: I. Cycle expansions
• A complex Ruelle-Perron-Frobenius theorem and two counterexamples
• A computer-assisted proof of the Feigenbaum conjectures
• Feigenbaum universality and the thermodynamic formalism
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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