Accurate bounds on Lyapunov exponents for expanding maps of the interval

DOI10.1007/s00220-022-04495-7OpenAlexW4309634971MaRDI QIDQ2699727

Mark Pollicott, Polina Vytnova

Publication date: 19 April 2023

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

Full work available at URL: https://arxiv.org/abs/2201.04752

Mathematics Subject Classification ID

Ergodic theory (37Axx) Smooth dynamical systems: general theory (37Cxx) Low-dimensional dynamical systems (37Exx)

Cites Work

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• Rigorous approximation of diffusion coefficients for expanding maps
• The thermodynamic formalism for expanding maps
• Spectral Galerkin methods for transfer operators in uniformly expanding dynamics
• Rigorous computation of diffusion coefficients for expanding maps
• Perturbation theory for linear operators.
• The exact rate of approximation in Ulam's method
• Hidden positivity and a new approach to numerical computation of Hausdorff dimension: higher order methods
• An Elementary Approach to Rigorous Approximation of Invariant Measures
• Using Ulam's method to calculate entropy and other dynamical invariants
• Informal Remarks on the Orbit Structure of Discrete Approximations to Chaotic Maps
• A probabilistic approach to intermittency
• Computing invariant measures for expanding circle maps
• On the relation between Lyapunov exponents and exponential decay of correlations
• Spectral Methods

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