A universal divergence rate for symmetric Birkhoff Sums in infinite ergodic theory
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Abstract:
We show that there exists a universal gap in the failure of the ergodic theorem for symmetric Birkhoff sums in infinite ergodic theory.References
- Jon Aaronson, An introduction to infinite ergodic theory, Mathematical Surveys and Monographs, vol. 50, American Mathematical Society, Providence, RI, 1997. MR 1450400, DOI 10.1090/surv/050
- Jon Aaronson, On the ergodic theory of non-integrable functions and infinite measure spaces, Israel J. Math. 27 (1977), no. 2, 163–173. MR 444899, DOI 10.1007/BF02761665
- J. Aaronson, Z. Kosloff, and B. Weiss, Symmetric Birkhoff sums in infinite ergodic theory, preprint, http://arxiv.org/abs/1307.7490.
- Marc Burger, Horocycle flow on geometrically finite surfaces, Duke Math. J. 61 (1990), no. 3, 779–803. MR 1084459, DOI 10.1215/S0012-7094-90-06129-0
- François Maucourant and Barbara Schapira, Distribution of orbits in $\Bbb R^2$ of a finitely generated group of $\textrm {SL}(2,\Bbb R)$, Amer. J. Math. 136 (2014), no. 6, 1497–1542. MR 3282979, DOI 10.1353/ajm.2014.0045
- Thomas Roblin, Ergodicité et équidistribution en courbure négative, Mém. Soc. Math. Fr. (N.S.) 95 (2003), vi+96 (French, with English and French summaries). MR 2057305, DOI 10.24033/msmf.408
Additional Information
- Zemer Kosloff
- Affiliation: Mathematics Institute, University of Warwick, Coventry, CV47AL, United Kingdom
- MR Author ID: 957057
- Email: z.kosloff@warwick.ac.uk
- Received by editor(s): January 5, 2015
- Received by editor(s) in revised form: May 4, 2015, and September 25, 2015
- Published electronically: March 30, 2017
- © Copyright 2017 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 369 (2017), 6373-6388
- MSC (2010): Primary 37A17, 37A30, 37A40; Secondary 37D40
- DOI: https://doi.org/10.1090/tran/6867
- MathSciNet review: 3660225