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- Ganotaki, CharisLund 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 (author)
On eventually always hitting points
- Article/chapterEnglish2021
Publisher, publication year, extent ...
- 2021-08-28
- Springer Science and Business Media LLC,2021
Numbers
- LIBRIS-ID:oai:lup.lub.lu.se:ba79b8c5-fa33-46c0-ad5c-f56d2f4af7a3
- https://lup.lub.lu.se/record/ba79b8c5-fa33-46c0-ad5c-f56d2f4af7a3URI
- https://doi.org/10.1007/s00605-021-01616-7DOI
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- Language:English
- Summary in:English
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- 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.
Subject headings and genre
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- Continued fractions
- Eventually always hitting points
- Shrinking targets
Added entries (persons, corporate bodies, meetings, titles ...)
- Persson, TomasLund University,Lunds universitet,Dynamiska system,Forskargrupper vid Lunds universitet,Dynamical systems,Lund University Research Groups(Swepub:lu)math-tpe (author)
- Matematik LTHMatematikcentrum (creator_code:org_t)
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- In:Monatshefte fur Mathematik: Springer Science and Business Media LLC196:4, s. 763-7840026-92551436-5081
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