A Borel-Cantelli lemma and its applications
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Publication:2862140
DOI10.1090/S0002-9947-2013-06028-XzbMath1283.60039arXiv1201.5866OpenAlexW2087339633WikidataQ124936359 ScholiaQ124936359MaRDI QIDQ2862140
Publication date: 14 November 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.5866
Central limit and other weak theorems (60F05) Ergodic theorems, spectral theory, Markov operators (37A30)
Related Items (8)
On the strong forms of the Borel-Cantelli lemma and dynamical systems with polynomial decay of correlations ⋮ A curious application of the Borel-Cantelli Lemmas, a result of Barndorff-Nielsen, and some open problems ⋮ Upper and lower bounds of Borel–Cantelli Lemma in a general measure space ⋮ A SIMPLE PROOF OF THE STRONG LAW OF LARGE NUMBERS WITH RATES ⋮ Quantitative recurrence results for random walks ⋮ On strong forms of the Borel-Cantelli lemma and intermittent interval maps ⋮ Dynamical Borel–Cantelli lemmas and rates of growth of Birkhoff sums of non-integrable observables on chaotic dynamical systems ⋮ Criteria for Borel-Cantelli lemmas with applications to Markov chains and dynamical systems
Cites Work
- Unnamed Item
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- On the universal a.s. central limit theorem
- Quantitative recurrence results
- On almost sure local and global central limit theorems
- An iterated logarithm law for local time
- Dimension and hitting time in rapidly mixing systems
- On the lower limit of sums of independent random variables
- Ergodic properties of Viana-like maps with singularities in the base dynamics
- A sharp correlation inequality with an application to almost sure local limit theorem
- A note on Borel–Cantelli lemmas for non-uniformly hyperbolic dynamical systems
- On the Application of the Borel-Cantelli Lemma
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