Renormalisation-induced phase transitions for unimodal maps

DOI10.1007/s00220-008-0656-5zbMath1179.37056arXiv0712.3023OpenAlexW3105750302MaRDI QIDQ731299

Neil B. Dobbs

Publication date: 2 October 2009

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

Full work available at URL: https://arxiv.org/abs/0712.3023

zbMATH Keywords

phase transitionrenormalizationunimodal mapthermodynamical formalismnatural potential

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items (15)

Statistical properties of periodic points for infinitely renormalizable unimodal maps ⋮ Removal of phase transition in the Chebyshev quadratic and thermodynamics for Hénon-like maps near the first bifurcation ⋮ Building thermodynamics for non-uniformly hyperbolic maps ⋮ Chaos: butterflies also generate phase transitions ⋮ Nice inducing schemes and the thermodynamics of rational maps ⋮ Free Energy and Equilibrium States for Families of Interval Maps ⋮ Low-temperature phase transitions in the quadratic family ⋮ Geometric pressure for multimodal maps of the interval ⋮ Renormalization and conjugacy of piecewise linear Lorenz maps ⋮ Wild attractors and thermodynamic formalism ⋮ Natural equilibrium states for multimodal maps ⋮ Flexibility of the pressure function ⋮ THE POTENTIAL POINT OF VIEW FOR RENORMALIZATION ⋮ Transience in dynamical systems ⋮ Porcupine-Like Horseshoes: Topological and Ergodic Aspects

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