Dynamical obstruction to the existence of continuous sub-actions for interval maps with regularly varying property
DOI10.3934/dcds.2020115zbMath1441.37046arXiv1809.00441OpenAlexW3003484188MaRDI QIDQ1988314
Eduardo Garibaldi, Irene Inoquio-Renteria
Publication date: 16 April 2020
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.00441
modulus of continuityergodic optimizationintermittent mapssub-actionsnonuniformly expanding dynamics
Duality theory (optimization) (49N15) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Sub-actions for Young towers
- On calibrated and separating sub-actions
- Cohomology classes of dynamically non-negative \(C^ k\) functions.
- On a concave differentiable majorant of a modulus of continuity
- Sub-actions and maximizing measures for one-dimensional transformations with a critical point
- Cohomology and subcohomology problems for expansive, non-Anosov geodesic flows
- Ergodic optimization
- Lyapunov minimizing measures for expanding maps of the circle
- The Mañé–Conze–Guivarc’h lemma for intermittent maps of the circle
- Sub-actions for weakly hyperbolic one-dimensional systems
- Slowly mixing systems and intermittency maps
- Ergodic optimization in dynamical systems
- A sufficient condition for the subordination principle in ergodic optimization
- Ergodic Optimization in the Expanding Case
- Sub-actions for Anosov flows
- Regularly varying functions
