On the distribution mod 1 of the sequence nα

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Distribution modulo one and ergodic theory - University of Bristol

WebA well known result in the theory of uniform distribution modulo 1 (which goes back to Fejér and Csillag) states that the fractional ... the k k k-level correlation functions of the sequence ({n ... On the correlations of n α n^\alpha n α mod 1. J. Eur. Math. Soc. (2024), DOI 10.4171/JEMS/1281. Publication Date. 5 October 2024. Identifiers ... Web2 de out. de 2024 · Summary: The Three Gap Theorem, also known as the Steinhaus Conjecture, is a classical result on the combinatorics of the fractional part function, and has since been generalized in many ways. is she 2nd person

ON THE DISTRIBUTION OF THE SEQUENCE n 2 θ (mod 1) - OUP …

Web1 de ago. de 2007 · On the distribution mod 1 of the sequence nα. Annals of the University of Science, Budapest Eötvös. Sect Math, I: 127 – 134. [Google Scholar] Clough, J. 1989. Review of David Lewin's Generalized Musical Intervals and Transformations. Music Theory Spectrum, 11: 226 – 231. [Google Scholar] Lewin, D. 1987. Web20 de nov. de 2024 · 1. Dym, H., On the structure and the Hausdorff dimension of the support of a class of distribution functions induced by ergodic sequences, Mitre Corp., … WebIt was shown that for any sequence (an)n≥1 of distinct positive integers, the sequence (xan)n≥1 is completely uniformly distributed modulo one for almost all real numbers x with x > 1. In the paper “Metric theorems on uniform distribution and approximation theory” [38], again in cooperation with Tichy, this result was even general- ieee author name format latex

[2006.16629] On the correlations of $n^α$ mod 1 - arXiv.org

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Web1 de jan. de 1984 · Indagationes Mathematicae (Proceedings) Volume 87, Issue 3, 1984, Pages 315-327, 1984, Pages 315-327 Web1. Introduction Since the discovery of quasicrystals some 20 years ago, mathematicians and physicists have gained a reasonable understanding of aperiodically ordered systems, in particular of those obtained from the projection method. Such sets are called cut and project sets, or model sets [17]. ieee author digital toolboxWeb1 de set. de 2003 · Let α be an irrational number and let D N*(α) and DN(α) denote the star-discrepancy and the discrepancy of the sequence (nα)n ≥1 mod 1, resp. ieee author center english editing

"Web18 de jun. de 2024 · Title: On the Uniform Distribution (mod 1) of the Farey Sequence, quadratic Farey and Riemann sums with a remark on local integrals of $ζ(s)$ Authors: Michel Weber Download PDF " - On the distribution mod 1 of the sequence nα

On the distribution mod 1 of the sequence nα

The legacy of John Clough in mathematical music theory

Webof distribution of a sequence xn mod 1, n = 1;2;:::, with the set G(xn mod 1) of all distribution functions (abbreviating d.f.s) of the sequence xn mod 1, 2000 Mathematics … Web30 de jun. de 2024 · Abstract: A well known result in the theory of uniform distribution modulo one (which goes back to Fejér and Csillag) states that the fractional parts …

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WebAbstract. Let α be an irrational number and let D N * (α) and D N (α) denote the star-discrepancy and the discrepancy of the sequence (nα) n ≥1 mod 1, resp. We study … Web11 de fev. de 2024 · On the distribution mod 1 of the sequence nα. Ann. Univ. Sci. Budapest Eötvös Sect. Math. 1, 127–134 (1958) Google Scholar Surányi, J.: Über die Anordnung der Vielfachen einer reellen Zahl mod 1. Ann. Univ. Sci. Budapest Eötvös Sect. Math. 1, 107–111 (1958) Google Scholar ...

Web2. Density and uniform distribution mod 1. Throughout, [x]means the great- est integer less than or equal to x; (x) = x -[x]is the fractional part of x. In discussing the uniform distribution of sequences mod 1, the notation of Kuipers and Niederreiter (1974) will be followed. Let the left-most digit of a real number Web30 de jun. de 2024 · Abstract: A well known result in the theory of uniform distribution modulo one (which goes back to Fejér and Csillag) states that the fractional parts $\{n^\alpha\}$ of the sequence $(n^\alpha)_{n\ge1}$ are uniformly distributed in the unit interval whenever $\alpha>0$ is not an integer.

WebAssume that α is an irrational number with continued fraction expansion [a0;a1, . . .] and convergents **,n= 0, 1 . . . . Every positive integer N has a unique ... Web25 de mai. de 2010 · Vera T. Sós, On the distribution mod 1 of the sequence {nα}, Ann. Univ. Sci. Budapest, 1 (1958), 127–234. MATH Google Scholar Vera T. Sós and S. K. …

WebOn the Distribution Modulo 1 of the Sequence αn2 + βn - Volume 29 Issue 4. Skip to main content Accessibility help We use cookies to distinguish you from other users and to …

Web20 de nov. de 2024 · On the Distribution of the Sequence n2θ (mod 1) - Volume 39 Issue 2 Skip to main content Accessibility help We use cookies to distinguish you from other … ieee author center latexWebThe ﬁrst part is concerned with sequences of the type x k = n kα, n1 < n2 < n3 < ···, mod 1. Improving a result of ˇSala´t we show that, if the quotients q k = n k+1/n k satisfy q k ≥ 1 + ε, then the set of α such that (x k) is uniformly distributed is of ﬁrst Baire category, i.e. for generic α we do not have uniform distribution. ieee author portal投稿WebH. HEILBRONN; ON THE DISTRIBUTION OF THE SEQUENCE n2θ (mod 1), The Quarterly Journal of Mathematics, Volume os-19, Issue 1, 1 January 1948, Pages 249–256, https We use cookies to enhance your experience on our website.By continuing to use our website, you are agreeing to our use of cookies. ieee author search