Optimal uniform convergence rates for weighted Birkhoff averages on tori are established across finite-differentiability, C-infinity, logarithmic, and Gevrey regularity classes, with matching lower bounds showing no weighting function can do better in general.
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Optimal rates of uniform convergence for weighted Birkhoff averages via almost all rotations
Optimal uniform convergence rates for weighted Birkhoff averages on tori are established across finite-differentiability, C-infinity, logarithmic, and Gevrey regularity classes, with matching lower bounds showing no weighting function can do better in general.