Renormalization group analysis of some dynamical systems with noise

DOI10.1007/BF01020044zbMath0713.58028WikidataQ63980072 ScholiaQ63980072MaRDI QIDQ749953

Annick Lesne, Pierre Collet

Publication date: 1989

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

renormalization grouplarge deviationsLyapunov exponentperiod doubling

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Ergodic theory (37A99)

Related Items (5)

Renormalization group study of quantum fluctuations near classical critical points of Hamiltonian systems ⋮ Global complexity and essential simplicity. A conjectural picture of the boundary of chaos for smooth endomorphisms of the interval ⋮ On the essential spectrum of the transfer operator for expanding Markov maps ⋮ Slow sweep through a period-doubling cascade: Delayed bifurcations and renormalisation ⋮ Brownian motors: noisy transport far from equilibrium

Cites Work

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• Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
• Period doubling bifurcations for families of maps on \(R^ n\)
• Produits aléatoires d'opérateurs matrices de transfert. (Random products of transfer matrices)
• Universal properties of maps on an interval
• Characteristic exponents and invariant manifolds in Hilbert space
• Feigenbaum universality and the thermodynamic formalism

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