Cover Image

On the quasi-uniformity properties of quasi-Monte Carlo point sets and sequences -- Part I: Lattices and Kronecker sequences

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Dick, Josef, Goda, Takashi, Larcher, Gerhard, Pillichshammer, Friedrich, Suzuki, Kosuke
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11K36, 11K38, 11J71
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the quasi-uniformity properties of quasi-Monte Carlo point sets and sequences -- Part II: digital nets and sequences
by: Dick, Josef, et al.
Published: (2025)

Lebesgue constants for the Walsh system and the discrepancy of the van der Corput sequence
by: Dick, Josef, et al.
Published: (2024)

Uniform distribution via lattices: from point sets to sequences
by: Ferizović, Damir
Published: (2023)

Characterization of digital $(0,m,3)$-nets and digital $(0,2)$-sequences in base $2$
by: Hofer, Roswitha, et al.
Published: (2018)

Variants of the Littlewood conjecture, their connection to uniformly distributed sequences, and the exact order of the discrepancy of van der Corput--Kronecker-type sequences
by: Hofer, Roswitha
Published: (2025)

Low Discrepancy Digital Kronecker-Van der Corput Sequences
by: Robertson, Steven
Published: (2024)

The metric theory of small gaps for a sequence of real numbers
by: Mahajan, Jewel
Published: (2025)

The Fibonacci numbers are not a Heilbronn set
by: Shiu, Daniel
Published: (2025)

On Finite Pseudorandom Binary Sequences: Generalized polynomials
by: Madritsch, Manfred G., et al.
Published: (2025)

The star discrepancy of a union of randomly digitally shifted Korobov polynomial lattice point sets depends polynomially on the dimension
by: Dick, Josef, et al.
Published: (2025)

On the distribution of $\operatorname{SL}(2,{\mathbb N})$-saturated Farey fractions
by: Anderson, Jack, et al.
Published: (2025)

Pointwise and correlation bounds on Dedekind sums over small subgroups
by: Borda, Bence, et al.
Published: (2023)

A Weyl equidistribution theorem over function fields
by: Ackelsberg, Ethan
Published: (2025)

Minimal gap for higher dimensional sequences
by: Bera, Tanmoy
Published: (2024)

On denominators of consecutive $\operatorname{SL}(2,{\mathbb N})$-saturated Farey fractions
by: Anderson, Jack, et al.
Published: (2025)

A note on polynomial equidistribution and recurrence in finite characteristic
by: Ackelsberg, Ethan, et al.
Published: (2026)

Exact $\ell^\infty$-separation radius of Sobol' sequences in dimension 2
by: Suzuki, Kosuke
Published: (2025)

On a criterion of uniform distribution
by: Karagulyan, Grigori, et al.
Published: (2024)

Poissonian pair correlation for directions in multi-dimensional affine lattices, and escape of mass estimates for embedded horospheres
by: Kim, Wooyeon, et al.
Published: (2023)

Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer
by: Beresnevich, Victor, et al.
Published: (2024)

Distribution modulo one of linear recurrent sequences
by: Chen, Zhangchi, et al.
Published: (2026)

The Prime times of twisted Diophantine approximation
by: Hauke, Manuel
Published: (2026)

Well-distribution modulo one and the primes
by: Champagne, J., et al.
Published: (2024)

High-Dimensional Quasi-Monte Carlo via Combinatorial Discrepancy
by: Chen, Jiaheng, et al.
Published: (2025)

Spherical Cap $L_2$ Discrepancy -- Blessing of Dimensionality and a Balanced Large-Cap Variant
by: Brauchart, Johann S., et al.
Published: (2026)

Intractability results for integration in tensor product spaces
by: Novak, Erich, et al.
Published: (2024)

The $L_p$-discrepancy for finite $p>1$ suffers from the curse of dimensionality
by: Novak, Erich, et al.
Published: (2024)

On an example by Poincaré and sums with Kronecker sequence
by: Moshchevitin, Nikolay
Published: (2023)

Rank metric codes from Drinfeld modules
by: Micheli, Giacomo, et al.
Published: (2026)

The inverse of the star discrepancy of a union of randomly shifted Korobov rank-1 lattice point sets depends polynomially on the dimension
by: Du, Jiarui, et al.
Published: (2026)

On the Lipschitz continuity of the Spherical Cap Discrepancy around generic point sets
by: Heitsch, Holger, et al.
Published: (2025)

An Equidistribution Result for Differences Associated with Square Pyramidal Numbers
by: Dong, Anji, et al.
Published: (2024)

Exceptional Points for Density Modulo 1
by: Berend, Daniel, et al.
Published: (2024)

Small Solutions of generic ternary quadratic congruences
by: Baier, Stephan, et al.
Published: (2024)

On bilinear sums with modular square roots and applications III
by: Baier, Stephan
Published: (2026)

On bilinear sums with modular square roots and applications II
by: Baier, Stephan
Published: (2026)

On the fractional parts of certain sequences of $ξα^{n}$
by: Gao, Xiang, et al.
Published: (2024)

The bad and rough rotation is Poissonian
by: Hauke, Manuel
Published: (2025)

A weighted Discrepancy Bound of quasi-Monte Carlo Importance Sampling
by: Dick, Josef, et al.
Published: (2019)

Poissonian pair correlation for higher dimensional real sequences
by: Bera, Tanmoy, et al.
Published: (2023)