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On eventually alway...
On eventually always hitting points
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- Ganotaki, Charis (författare)
- Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Persson, Tomas (författare)
- Lund University,Lunds universitet,Dynamiska system,Forskargrupper vid Lunds universitet,Dynamical systems,Lund University Research Groups
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(creator_code:org_t)
- 2021-08-28
- 2021
- Engelska.
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Ingår i: Monatshefte fur Mathematik. - : Springer Science and Business Media LLC. - 0026-9255 .- 1436-5081. ; 196:4, s. 763-784
- Relaterad länk:
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http://dx.doi.org/10...
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http://arxiv.org/pdf...
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https://lup.lub.lu.s...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We consider dynamical systems (X, T, μ) which have exponential decay of correlations for either Hölder continuous functions or functions of bounded variation. Given a sequence of balls (Bn)n=1∞, we give sufficient conditions for the set of eventually always hitting points to be of full measure. This is the set of points x such that for all large enough m, there is a k< m with Tk(x) ∈ Bm. We also give an asymptotic estimate as m→ ∞ on the number of k< m with Tk(x) ∈ Bm. As an application, we prove for almost every point x an asymptotic estimate on the number of k≤ m such that ak≥ mt, where t∈ (0 , 1) and ak are the continued fraction coefficients of x.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Continued fractions
- Eventually always hitting points
- Shrinking targets
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
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