Ergodic optimization for noncompact dynamical systems

DOI10.1080/14689360701450543zbMath1170.28303OpenAlexW2078118135MaRDI QIDQ3534037

Oliver Jenkinson, R. Daniel Mauldin, Mariusz Urbański

Publication date: 3 November 2008

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360701450543

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70)

Related Items (9)

Entropy, pressure, ground states and calibrated sub-actions for linear dynamics ⋮ On the existence of maximizing measures for irreducible countable Markov shifts: a dynamical proof ⋮ Ergodic optimization for renewal type shifts ⋮ Normal Lyapunov exponents and asymptotically stable attractors ⋮ \(L^\infty\)-estimation of generalized Thue-Morse trigonometric polynomials and ergodic maximization ⋮ Zero temperature limits of Gibbs states for almost-additive potentials ⋮ Weak KAM methods and ergodic optimal problems for countable Markov shifts ⋮ Majorization of invariant measures for orientation-reversing maps ⋮ Ergodic optimization in dynamical systems

Cites Work

• Every ergodic measure is uniquely maximizing
• The fish has no bones
• Cohomology classes of dynamically non-negative \(C^ k\) functions.
• Ergodic optimization
• Rotation, entropy, and equilibrium states
• La condition de Walters
• Lyapunov minimizing measures for expanding maps of the circle
• Ergodic optimization for countable alphabet subshifts of finite type

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