Found 362 Documents (Results 1–100)
The Sobol’ sequence is not quasi-uniform in dimension 2. (English) Zbl 07875275
Reviewer: Anton Shutov (Vladimir)
Equidistribution of solutions of ternary quadratic congruences modulo prime powers. (English) Zbl 07852704
Reviewer: Stephan Baier (Hāoṛā)
The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms. (English) Zbl 07813876
Reviewer: Christoph Aistleitner (Graz)
On higher dimensional Poissonian pair correlation. (English) Zbl 1534.11097
Reviewer: Takao Komatsu (Hangzhou)
Measures supported on partly normal numbers. arXiv:2408.03473
Preprint, arXiv:2408.03473 [math.CA] (2024).
Well-distribution modulo one and the primes. arXiv:2406.19491
Preprint, arXiv:2406.19491 [math.NT] (2024).
Small Solutions of generic ternary quadratic congruences. arXiv:2406.09778
Preprint, arXiv:2406.09778 [math.NT] (2024).
Equidistribution of primitive lattices in \(\mathbb{R}^n\). (English) Zbl 07795684
Reviewer: Matthew C. Lettington (Cardiff)
Quasi-classical ground states. I: Linearly coupled Pauli-Fierz Hamiltonians. (English) Zbl 1536.81058
Approximation of discrete measures by finite point sets. (English) Zbl 1539.11105
Reviewer: Roman Urban (Wrocław)
A Metropolis random walk algorithm to estimate a lower bound of the star discrepancy. (English) Zbl 1518.65003
On the distribution of the van der Corput sequences. (English) Zbl 1523.11138
Reviewer: Christoph Aistleitner (Graz)
On the asymptotic behavior of Sudler products along subsequences. (English) Zbl 1511.11066
Reviewer: Vijay Yadav (Virar)
Golden Ratio Nets and Sequences. arXiv:2312.11696
Preprint, arXiv:2312.11696 [math.NT] (2023).
MSC:
11K36
On Finite Pseudorandom Binary Sequences: Functions from a Hardy field. arXiv:2312.08333
Preprint, arXiv:2312.08333 [math.NT] (2023).
Multiple exponential sums and their applications to quadratic congruences. arXiv:2311.17706
Preprint, arXiv:2311.17706 [math.NT] (2023).
Uniform distribution via lattices: from point sets to sequences. arXiv:2308.13297
Preprint, arXiv:2308.13297 [math.CA] (2023).
Transporting Higher-Order Quadrature Rules: Quasi-Monte Carlo Points and Sparse Grids for Mixture Distributions. arXiv:2308.10081
Preprint, arXiv:2308.10081 [math.NA] (2023).
Poissonian pair correlation for directions in multi-dimensional affine lattices, and escape of mass estimates for embedded horospheres. arXiv:2302.13308
Preprint, arXiv:2302.13308 [math.NT] (2023).
Measures and constructions of pseudorandom binary sequences arising from number theory. (English) Zbl 07887932
On the \((\mathrm{Vil}_B;\alpha)\)-diaphony of the Van der Corput sequence constructed in Cantor systems. (English) Zbl 07809187
The final deviation and the main quality measure for Korobov grids. (Russian. English summary) Zbl 1521.49017
Joinings classification and applications [after Einsiedler and Lindenstrauss]. (Classification des couplages invariants et applications [d’après Einsiedler et Lindenstrauss].) (English) Zbl 1535.22029
Séminaire Bourbaki. Volume 2021/2022. Exposés 1181–1196. Paris: Société Mathématique de France (SMF). Astérisque 438, 181-245, Exp. No. 1185 (2022).
Reviewer: Thomas B. Ward (Durham)
Finding automatic sequences with few correlations. (English) Zbl 1524.68249
Reviewer: Petr Kolman (Praha)
Optimal small scale equidistribution of lattice points on the sphere, Heegner points, and closed geodesics. (English) Zbl 1504.11084
Statistics and gap distributions in random Kakutani partitions and multiscale substitution tilings. (English) Zbl 07584838
Asymptotic behavior of small solutions of quadratic congruences in three variables modulo prime powers. (English) Zbl 1501.11083
Reviewer: Olivier Ramaré (Marseille)
Multi-dimensional Kronecker sequences with a small number of gap lengths. (English. Russian original) Zbl 1494.11062
Discrete Math. Appl. 32, No. 1, 69-74 (2022); translation from Diskretn. Mat. 33, No. 4, 11-18 (2021).
Reviewer: Takao Komatsu (Hangzhou)
Sequences with almost Poissonian pair correlations. (English) Zbl 1500.11060
Reviewer: Florian Pausinger (Belfast)
The inequality of Erdős-Turán-Koksma in the terms of the functions of the system \(\Gamma_{\mathcal{B}_s}\). (English) Zbl 1484.11161
A probability estimate for the discrepancy of Korobov lattice points. (English. Russian original) Zbl 1483.11156
Sb. Math. 212, No. 11, 1571-1587 (2021); translation from Mat. Sb. 212, No. 11, 73-88 (2021).
Extreme and periodic \(L_2\) discrepancy of plane point sets. (English) Zbl 1483.11158
Reviewer: Vassil Grozdanov (Blagoevgrad)
On the number of gaps of sequences with Poissonian pair correlations. (English) Zbl 1478.11099
Reviewer: Anton Shutov (Vladimir)
On the pair correlations of powers of real numbers. (English) Zbl 1478.11098
Reviewer: Anton Shutov (Vladimir)
Pair correlations of Halton and Niederreiter sequences are not Poissonian. (English) Zbl 1470.11206
Reviewer: Symon Serbenyuk (Kyïv)
Weighted well-distribution measure of binary sequences. (Chinese. English summary) Zbl 1474.11134
Intervals of small measure containing an algebraic number of given height. (Russian. English summary) Zbl 1456.11137
On the \((\mathrm{Vil}_{\mathcal B_2}; \alpha; \gamma)\)-diaphony of the nets of type of Zaremba-Halton constructed in generalized number system. (English) Zbl 1474.11131
Uniform distribution of Kakutani partitions generated by substitution schemes. (English) Zbl 1473.11148
Reviewer: Maria Infusino (Cagliari)
On pair correlation of sequences. (English) Zbl 1459.11158
Bilyk, Dmitriy (ed.) et al., Discrepancy theory. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 26, 133-145 (2020).
MSC:
11K36
Prime-power factorization of binomial coefficients. (English) Zbl 1436.11094
Reviewer: Florian Luca (Johannesburg)
Effective equidistribution and property \((\tau )\). (English) Zbl 1466.11049
Reviewer: Christoph Aistleitner (Graz)
Equidistribution of exponential sums [works of Katz]. (Équirépartition de sommes exponentielles [travaux de Katz].) (French) Zbl 1484.11219
Séminaire Bourbaki. Volume 2017/2018. Exposés 1136–1150. Paris: Société Mathématique de France (SMF). Astérisque 414, 205-250, Exp. No. 1141 (2019).
Reviewer: Vladimir P. Kostov (Nice)
Minimal energy points and sphere packing. (Catalan. English summary) Zbl 1452.52011
Reviewer: Sorin-Mihai Grad (Wien)
Joint distribution of inverses in matrix groups over finite fields. (English) Zbl 1434.11075
Reviewer: Robert F. Tichy (Graz)
Sequences modulo one: convergence of local statistics. (English) Zbl 1471.11217
Ji, Lizhen (ed.) et al., Tsinghua lectures in mathematics. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 45, 419-440 (2019).
The distribution of the trace in the compact group of type \(\mathbf{G}_2\). (English) Zbl 1443.11158
Aubry, Yves (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 722, 79-103 (2019).
Metrical results on the distribution of fractional parts of powers of real numbers. (English) Zbl 1476.11104
Reviewer: Roman Urban (Wrocław)
A note on polynomial sequences modulo integers. (English) Zbl 1440.11141
MSC:
11K36
The generalized and modified Halton sequences in Cantor bases. (English) Zbl 1426.11074
Reviewer: Vassil Grozdanov (Blagoevgrad)
A proof of the Conjecture of Lehmer. arXiv:1911.10590
Preprint, arXiv:1911.10590 [math.NT] (2019).
WITHDRAWN: Poissonian pair correlation on manifolds via the heat kernel. arXiv:1904.08286
Preprint, arXiv:1904.08286 [math.NT] (2019); retraction notice ibid.
On the spaces generated by vectors with coordinates in incomplete residue systems. (English) Zbl 1440.11142
Well dispersed sequences in \([0,1]^{d}\). (English) Zbl 1404.11099
Reviewer: Yukio Ohkubo (Kagoshima)
On Weyl products and uniform distribution modulo one. (English) Zbl 1410.11106
Reviewer: Vassil Grozdanov (Blagoevgrad)
A metric result for special sequences related to the Halton sequences. (English) Zbl 1446.11142
Reviewer: Florian Pausinger (Belfast)
Pair correlations and equidistribution. (English) Zbl 1415.11106
Reviewer: Robert F. Tichy (Graz)
Spatial statistics for lattice points on the sphere. I: Individual results. (English) Zbl 1464.11076
Reviewer: Robert F. Tichy (Graz)
Book review of: P. Kritzer (ed.) et al., Uniform distribution and quasi-Monte Carlo methods. Discrepancy, integration and applications. (English) Zbl 1378.00011
Book review of: P. Kritzer (ed.) et al., Uniform distribution and quasi-Monte Carlo methods. Discrepancy, integration and applications. (English) Zbl 1369.00012
On the pseudorandomness of quaternary sequences derived from sequences over \(\mathbb{F}_4\). (English) Zbl 1399.11057
WITHDRAWN: A Note on a Quantitative Form of the Solovay-Kitaev Theorem. arXiv:1709.03007
Preprint, arXiv:1709.03007 [math.QA] (2017); retraction notice ibid.
A Koksma-Hlawka-Potential Identity on the \(d\) Dimensional Sphere and its Applications to Discrepancy. arXiv:1707.08929
Preprint, arXiv:1707.08929 [math.CA] (2017).
On Farey table and its compression for space optimization with guaranteed error bounds. (English) Zbl 1375.94093
The cross-correlation measure of families of finite binary sequences: limiting distributions and minimal values. (English) Zbl 1371.11122
Reviewer: Štefan Porubský (Praha)
Local statistics of lattice points on the sphere. (English) Zbl 1394.11059
Hardin, Douglas P. (ed.) et al., Modern trends in constructive function theory. Constructive functions 2014 conference in honor of Ed Saff’s 70th birthday, Vanderbilt University, Nashville, TN, USA, May 26–30, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2534-0/pbk; 978-1-4704-2934-8/ebook). Contemporary Mathematics 661, 269-282 (2016).
Reviewer: Robert F. Tichy (Graz)
Metric results on the discrepancy of sequences \((a_{n}{\alpha})_{n\geqslant 1}\) modulo one for integer sequences \((a_{n})_{n\geqslant 1}\) of polynomial growth. (English) Zbl 1348.11057
Reviewer: Vassil Grozdanov (Blagoevgrad)
Multidimensional sequences uniformly distributed modulo 1 created from normal numbers. (English) Zbl 1356.11045
Cojocaru, A. C. (ed.) et al., SCHOLAR – a scientific celebration highlighting open lines of arithmetic research. Conference in honour of M. Ram Murty’s mathematical legacy on his 60th birthday, Centre de Recherches Mathématiques, Université de Montréal, Canada, October 15–17, 2013. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-1457-3/pbk; 978-1-4704-2843-3/ebook). Contemporary Mathematics 655. Centre de Recherches Mathématiques Proceedings, 77-82 (2015).
On integers with missing digits: sum of digits and distribution in congruence classes. (Sur les entiers ellipséphiques: somme des chiffres et répartition dans les classes de congruence.) (French) Zbl 1363.11014
Reviewer: Panayiotis Vlamos (Athena)
Wieferich past and future. (English) Zbl 1416.11082
Kyureghyan, Gohar (ed.) et al., Topics in finite fields. 11th international conference on finite fields and their applications (Fq11), Magdeburg, Germany, July 22–26, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 632, 253-270 (2015).
Uniform distribution of sequences generated by iterated polynomials. (English. Russian original) Zbl 1354.11055
Dokl. Math. 92, No. 3, 704-706 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 3, 284-286 (2015).
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