Pointwise convergence of Birkhoff averages for global observables
From MaRDI portal
Publication:4685031
DOI10.1063/1.5036652zbMath1409.37009arXiv1804.05359OpenAlexW2797474846WikidataQ62384005 ScholiaQ62384005MaRDI QIDQ4685031
Publication date: 4 October 2018
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.05359
Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30) Nonsingular (and infinite-measure preserving) transformations (37A40)
Related Items (6)
Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems ⋮ A slow triangle map with a segment of indifferent fixed points and a complete tree of rational pairs ⋮ Anomalous time-scaling of extreme events in infinite systems and Birkhoff sums of infinite observables ⋮ Strong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite mean ⋮ Global observables for RW: law of large numbers ⋮ Infinite measure mixing for some mechanical systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit theorems and governing equations for Lévy walks
- Uniformly expanding Markov maps of the real line: exactness and infinite mixing
- Transformations on [0,1 with infinite invariant measures]
- Distributional limit theorems in infinite ergodic theory
- Almost everywhere convergence of ergodic averages
- Estimates of the invariant densities of endomorphisms with indifferent fixed points
- The ergodic infinite measure preserving transformation of Boole
- Strong laws of large numbers for intermediately trimmed sums of i.i.d. random variables with infinite mean
- On infinite-volume mixing
- Trimmed sums for non-negative, mixing stationary processes.
- Strong renewal theorems and Lyapunov spectra forα-Farey andα-Lüroth systems
- Exactness, K-property and infinite mixing
- A limit theorem for sojourns near indifferent fixed points of one-dimensional maps
- Dynamical Borel–Cantelli lemmas and rates of growth of Birkhoff sums of non-integrable observables on chaotic dynamical systems
This page was built for publication: Pointwise convergence of Birkhoff averages for global observables
