A universal divergence rate for symmetric Birkhoff Sums in infinite ergodic theory

DOI10.1090/TRAN/6867zbMath1368.37009arXiv1412.1242OpenAlexW2963375691MaRDI QIDQ5267976

Zemer Kosloff

Publication date: 14 June 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1242

zbMATH Keywords

ergodic theoremBirkhoff sumuniversal gap

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Nonsingular (and infinite-measure preserving) transformations (37A40) Homogeneous flows (37A17)

Related Items (2)

Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems ⋮ Dynamical Borel–Cantelli lemmas and rates of growth of Birkhoff sums of non-integrable observables on chaotic dynamical systems

Cites Work

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• Horocycle flow on geometrically finite surfaces
• On the ergodic theory of non-integrable functions and infinite measure spaces
• Distribution of orbits in ℝ2 of a finitely generated group of SL(2,ℝ)
• Symmetric Birkhoff sums in infinite ergodic theory
• Ergodicité et équidistribution en courbure négative

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