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Shrinking targets i...
Shrinking targets in parametrised families
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- Aspenberg, Magnus (författare)
- Lund University,Lunds universitet,Dynamiska system,Forskargrupper vid Lunds universitet,Dynamical systems,Lund University Research Groups
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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)
- 2019
- 2019
- Engelska 31 s.
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Ingår i: Mathematical Proceedings of the Cambridge Philosophical Society. - 0305-0041. ; 166:2, s. 265-295
- Relaterad länk:
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https://arxiv.org/ab... (free)
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http://dx.doi.org/10...
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Abstract
Ämnesord
Stäng
- We consider certain parametrised families of piecewise expanding maps on the interval, and estimate and sometimes calculate the Hausdorff dimension of the set of parameters for which the orbit of a fixed point has a certain shrinking target property. This generalises several similar results for β-transformations to more general non-linear families. The proofs are based on a result by Schnellmann on typicality in parametrised families.
Ämnesord
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
Publikations- och innehållstyp
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- ref (ämneskategori)
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