Renyi entropies, lyapunov exponents and dimension spectra for analytically perturbed piecewise linear maps

DOI10.1007/BF02228848zbMath0901.58046OpenAlexW1999998111MaRDI QIDQ4390991

Miłosz Michalski

Publication date: 2 August 1998

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02228848

zbMATH Keywords

unit intervaldimension spectraRenyi entropiesLjapunov exponentsanalytically perturbed piecewise linear expanding maps

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ergodic theory (37A99) Low-dimensional dynamical systems (37E99) Statistical thermodynamics (82B30)

Cites Work

• Unnamed Item
• The thermodynamic formalism for expanding maps
• Zeta functions and transfer operators for piecewise monotone transformations
• Locating resonances for axiom A dynamical systems
• The Ruelle-Araki transfer operator in classical statistical mechanics
• Maps of intervals with indifferent fixed points: thermodynamic formalism and phase transitions
• Generalized dimensions, entropies, and Lyapunov exponents from the pressure function for strange sets.
• Repellers for real analytic maps
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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