On the distribution mod 1 of the sequence nα

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August undefined, 2024

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. … Web4 de jan. de 2006 · be the L 2-discrepancy of the sequence (nα) mod 1, where {y} denotes the fractional part of the real number y. In this paper, we give an explicit formula for D * …

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

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. 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 higgins firm

Distribution modulo one and ergodic theory

WebWe say the sequence {ξj} is Poisson distributed if lim N→∞ EN(k,L) = Lk k! e−L This means {ξj} behaves like a generic realization of independent random vari-ables mod 1. … 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 WebProof First note that the definition of an equidistributed sequence is equivalent to the integral criterion whenever f is the indicator function of an interval: If f = 1 [c, d], then the left hand side is the proportion of points of the sequence falling in the interval [c, d], and the right hand side is exactly .. This means 2 ⇒ 1 (since indicator functions are Riemann … higgins flea market woodbury tn

An Explicit Formula for the L2-Discrepancy of (nα)-Sequences ...

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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., … 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. how far is coimbatore from chennaiWebThe 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. higginsformayor.ca

"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 … " - On the distribution mod 1 of the sequence nα

On the distribution mod 1 of the sequence nα

On the distribution of the sequence n[2] {theta} (mod 1)

WebJ. Surányi, Über die Anordnung der Vielfachen einer reellen Zahl mod 1,Ann. Univ. Sci. Budapest Eötvös Sect. Math. 1, (1958), 107–111. Google Scholar S. Swierczkowski , On successive settings of an arc on the circumference of a circle, Found. 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 ...

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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., T.M.-4155 (1965). 10.21236/AD0623616 CrossRef Google Scholar 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].

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 … 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 ...

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. WebIn this paper we investigate powers of prefixes of Sturmian sequences. We give an explicit formula for ice(ω), the initial critical exponent of a Sturmian sequence ω, defined as the …

WebH. HEILBRONN, ON THE DISTRIBUTION OF THE SEQUENCE n 2 θ (mod 1), The Quarterly Journal of Mathematics, Volume os-19, Issue 1, 1948, Pages 249–256, …

WebarXiv:1910.11766v1 [math.NT] 25 Oct 2024 On the discrepancyof randomsubsequences of {nα} Istva´n Berkes∗ and Bence Borda† Abstract For irrational α, {nα} is uniformly dist higgins flooring rochester nhWeb30 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. how far is coles bay from hobartWeb20 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 … higgins flooring ct how far is cody wy from yellowstone parkWebUniform distribution mod 1 and a set of full Lebesgue measure Part of the proof that Voronin gave for Theorem 1 and that we will simi- ... For rational α, the sequence (⌊nα⌋θ)n∈N is u.d. mod 1 either for all irrationals θ or for no real number θ, depending on whether α 6= 0 or α = 0. If α is irrational, ... how far is coffs harbour from byron bayWeb4 de jan. de 2006 · Assume that α is an irrational number with continued fraction expansion [a0;a1, . . .] and convergents ,n= 0, 1 . . . . Every positive integer N has a unique expansion N=b0q0+b1q1+ . . . +b m q m , where the digits b i are nonnegative integers with b0 higgins flooring peterboroughWebIt 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- how far is coldwater michigan