Bounded remainder sets for rotations on the adelic torus

Autor: Joanna Furno, Henna Koivusalo, Alan Haynes

Publikováno v: Proceedings of the American Mathematical Society. 147:5105-5115

In this paper we give an explicit construction of bounded remainder sets of all possible volumes, for any irrational rotation on the adelic torus $\mathbb A/\mathbb Q$. Our construction involves ideas from dynamical systems and harmonic analysis on t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2c959fdd7b236ee36c61da1acbeb8f2
https://doi.org/10.1090/proc/14636

Cut and project sets with polytopal window I:Complexity

Autor: James J. Walton, Henna Koivusalo

Publikováno v: Koivusalo, H & Walton, J J 2020, ' Cut and project sets with polytopal window I : Complexity ', Ergodic Theory Dynamical Systems . https://doi.org/10.1017/etds.2020.10

We calculate the growth rate of the complexity function for polytopal cut and project sets. This generalises work of Julien where the almost canonical condition is assumed. The analysis of polytopal cut and project sets has often relied on being able

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https://research-information.bris.ac.uk/en/publications/c4065e76-c66d-4f5f-8da4-9f463e4ac92f

Recurrence to Shrinking Targets on Typical Self-Affine Fractals

Autor: Henna Koivusalo, Felipe A. Ramírez

Publikováno v: Proceedings of the Edinburgh Mathematical Society. 61:387-400

We explore the problem of finding the Hausdorff dimension of the set of points that recur to shrinking targets on a self-affine fractal. To be exact, we study the dimension of a certain related symbolic recurrence set. In many cases this set is equiv

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https://doi.org/10.1017/s0013091517000256

Perfectly ordered quasicrystals and the Littlewood conjecture

Autor: Alan Haynes, Henna Koivusalo, James Walton

Publikováno v: Transactions of the American Mathematical Society, 2018, Vol.370(7), pp.4975-4992 [Peer Reviewed Journal]
Haynes, A, Koivusalo, H L L & Walton, J 2018, ' Perfectly ordered quasicrystals and the Littlewood conjecture ', Transactions of the American Mathematical Society, vol. 370, pp. 4975-4992 . https://doi.org/10.1090/tran/7136

Linearly repetitive cut and project sets are mathematical models for perfectly ordered quasicrystals. In a previous paper we presented a characterization of linearly repetitive cut and project sets. In this paper we extend the classical definition of

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http://dro.dur.ac.uk/22177/1/22177.pdf

Mass transference principle: from balls to arbitrary shapes

Autor: Henna Koivusalo, Michał Rams

Publikováno v: Koivusalo, H L L & Michal, R 2020, ' Mass transference principle : From balls to arbitrary shapes ', International Mathematics Research Notices, vol. 0, rnz352 . https://doi.org/10.1093/imrn/rnz352

The mass transference principle, proved by Beresnevich and Velani in 2006, is a strong result that gives lower bounds for the Hausdorff dimension of limsup sets of balls. We present a version for limsup sets of open sets of arbitrary shape.
Comm

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84204bb3f191241f9c106a270bb5fbea