For every nonresonant torus frequency and any σ<1, there exist normalized weights and an A_B low-regularity observable making weighted Birkhoff averages converge faster than exp(-cN^σ).
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Exponential convergence can happen in weighted Birkhoff averages via quasi-periodicity with arbitrary nonresonance and low regularity
For every nonresonant torus frequency and any σ<1, there exist normalized weights and an A_B low-regularity observable making weighted Birkhoff averages converge faster than exp(-cN^σ).