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pro vyhledávání: '"Andrew D. Pollington"'
Let $F \subseteq [0,1]$ be a set that supports a probability measure $��$ with the property that $ |\widehat��(t)| \ll (\log |t|)^{-A}$ for some constant $ A > 0 $. Let $\mathcal{A}= (q_n)_{n\in \mathbb{N}} $ be a sequence of natural numbers.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05a91b95f0ddade706fee1e1c2b60e42
https://eprints.whiterose.ac.uk/170428/1/InhomM_0sv.pdf
https://eprints.whiterose.ac.uk/170428/1/InhomM_0sv.pdf
Autor:
Andrew D. Pollington, William Moran
Publikováno v:
Number Theory with an Emphasis on the Markoff Spectrum
The Hurwitz equations, Arthur Baragar best approximation of real numbers by pisot numbers, David W. Boyd some metric properties of sum sets, Gavin Brown and Qing-He Yin computing endpoints in Markoff spectra, Richard T. Burnby badly approximable syst
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a687be45484c127690079d5d6fb8c627
https://doi.org/10.1201/9780203747018
https://doi.org/10.1201/9780203747018
Publikováno v:
Number Theory with an Emphasis on the Markoff Spectrum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1123e8bb0f95d792bf8106445d33cbe5
https://doi.org/10.1201/9780203747018-11
https://doi.org/10.1201/9780203747018-11
Autor:
Andrew D. Pollington
Publikováno v:
Number Theory with an Emphasis on the Markoff Spectrum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27b978908868eb82ac07605c12fb0f86
https://doi.org/10.1201/9780203747018-18
https://doi.org/10.1201/9780203747018-18
Publikováno v:
Mathematische Annalen. 353:259-273
Given a nonnegative function $${\psi\mathbb{N} \to \mathbb{R}}$$ , let W(ψ) denote the set of real numbers x such that |nx − a| 0). A consequence of our main result is that W(ψ) is of full Lebesgue measure if there exists an $${\epsilon > 0}$$ su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8dc807fb5bfc26625b930d28a08860a9
https://doi.org/10.1007/s00208-011-0683-y
https://doi.org/10.1007/s00208-011-0683-y
Autor:
Andrew D. Pollington, Sanju Velani
Publikováno v:
Selecta Mathematica. 11:297-307
Let W(ψ) denote the set of ψ-well approximable points in \(\mathbb{R}^{d} \) and let K be a compact subset of \(\mathbb{R}^{d} \) which supports a measure μ. In this short article, we show that if μ is an ‘absolutely friendly’ measure and a c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c1918deaacd7d2c93346af6ab4adba7
https://doi.org/10.1007/s00029-005-0007-8
https://doi.org/10.1007/s00029-005-0007-8
Publikováno v:
Journal of Fourier Analysis and Applications. 8:427-442
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e057d733bdc0d969aaa6b777c30882c
https://doi.org/10.1007/s00041-002-0021-6
https://doi.org/10.1007/s00041-002-0021-6
Autor:
Sanju Velani, Andrew D. Pollington
Publikováno v:
Journal of the London Mathematical Society. 66:29-40
For any pair $i,j\ge 0$ with $i+j=1$ let ${\mathbf Bad}(i,j)$ denote the set of pairs $(\alpha,\beta)\in {\bb R}^2$ for which $\max\{\|q\alpha\|^{1/i}\|q\beta\|^{1/j}\}>c/q$ for all $q\in {\bb N}$ . Here $c=c(\alpha,\beta)$ is a positive constant. If
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a220f4649af336974df4ea7daa9297e1
https://doi.org/10.1112/s0024610702003265
https://doi.org/10.1112/s0024610702003265
Autor:
Andrew D. Pollington, William Moran
Publikováno v:
Israel Journal of Mathematics. 100:339-347
In a previous paper, [7], the authors together with Gavin Brown gave a complete description of the values ofθ, r ands for which numbers normal in baseθ r are normal in baseθ s . Hereθ is some real number greater than 1 andx is normal in baseθ if
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4125671637b98ca2b9bdf292b150cace
https://doi.org/10.1007/bf02773647
https://doi.org/10.1007/bf02773647