Rate of approximation of minimizing measures

DOI10.1088/0951-7715/20/4/003zbMath1121.37003OpenAlexW2016984561MaRDI QIDQ3593301

Xavier Bressaud, Anthony N. Quas

Publication date: 20 July 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/20/4/003

zbMATH Keywords

periodic orbitsinvariant measuresapproximation errormap from a compact metric space

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Paths and cycles (05C38) Entropy and other invariants (28D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

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Ground states are generically a periodic orbit ⋮ A rapidly-converging lower bound for the joint spectral radius via multiplicative ergodic theory ⋮ Constrained ergodic optimization for asymptotically additive potentials ⋮ Ergodic transport theory and piecewise analytic subactions for analytic dynamics ⋮ The stable norm on the 2-torus at irrational directions ⋮ Duality theorems in ergodic transport ⋮ Approximating the maximum ergodic average via periodic orbits ⋮ Sturmian maximizing measures for the piecewise-linear cosine family ⋮ Zeta measures and thermodynamic formalism for temperature zero ⋮ Ergodic optimization in dynamical systems ⋮ Extremal norms for fiber-bunched cocycles

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