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On shrinking target...
On shrinking targets and self-returning points
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- Kirsebom, Maxim (författare)
- University of Hamburg
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- Kunde, Philipp (författare)
- Pennsylvania State University
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- Persson, Tomas (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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(creator_code:org_t)
- Scuola Normale Superiore - Edizioni della Normale, 2023
- 2023
- Engelska 37 s.
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Ingår i: Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. - : Scuola Normale Superiore - Edizioni della Normale. - 0391-173X. ; 24:3, s. 1499-1535
- Relaterad länk:
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http://dx.doi.org/10...
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https://lup.lub.lu.s...
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https://doi.org/10.2...
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Abstract
Ämnesord
Stäng
- We consider the set Rio of points returning infinitely many times to a sequence of shrinking targets around themselves. Under additional assumptions we improve Boshernitzan’s pioneering result on the speed of recurrence. In the case of the doubling map as well as for some linear maps on the d-dimensional torus, we even obtain a dichotomy condition for Rio to have measure-zero or one. Moreover, we study the set of points eventually always returning and prove an analogue of Boshernitzan’s result in similar generality.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
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