On Birkhoff sums that satisfy no temporal distributional limit theorem for almost every irrational

DOI10.5802/AHL.200MaRDI QIDQ6584609

Lorenz Frühwirth, Manuel Hauke

Publication date: 8 August 2024

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

zbMATH Keywords

metric Diophantine approximationergodic sumsirrational circle rotationtemporal limit theorems

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Ergodic theorems, spectral theory, Markov operators (37A30) Metric theory (11J83) Metric theory of continued fractions (11K50) Diophantine approximation in probabilistic number theory (11K60) Relations between ergodic theory and number theory (37A44)

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