By Professor Josef Dick

Preprints

Dick J; Hinrichs A; Pillichshammer F, 2014, Proof Techniques in Quasi-Monte Carlo Theory, http://dx.doi.org/10.48550/arxiv.1403.7334

Brauchart JS; Dick J; Fang L, 2014, Spatial low-discrepancy sequences, spherical cone discrepancy, and applications in financial modeling, http://dx.doi.org/10.48550/arxiv.1408.4609

Goda T; Dick J, 2014, Construction of interlaced scrambled polynomial lattice rules of arbitrary high order, http://dx.doi.org/10.48550/arxiv.1301.6441

Dick J; Pillichshammer F, 2014, The inverse of the star-discrepancy problem and the generation of pseudo-random numbers, https://arxiv.org/abs/1407.4208v1

Dick J; Kritzer P; Leobacher G; Pillichshammer F, 2014, A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights, http://dx.doi.org/10.48550/arxiv.1404.5497

Dick J; Pillichshammer F, 2014, The weighted star discrepancy of Korobov's $p$-sets, http://dx.doi.org/10.48550/arxiv.1404.0114

Dick J, 2013, Numerical integration of Hölder continuous, absolutely convergent Fourier-, Fourier cosine-, and Walsh series, https://arxiv.org/abs/1312.1135v2

Dick J, 2013, Applications of geometric discrepancy in numerical analysis and statistics, https://arxiv.org/abs/1311.3830v1

Dick J; Pillichshammer F, 2013, Explicit constructions of point sets and sequences with low discrepancy, https://arxiv.org/abs/1308.4252v1

Zhu H; Dick J, 2013, A Discrepancy Bound for a Deterministic Acceptance-Rejection Sampler, https://arxiv.org/abs/1307.1185v2

Owen A; Dick J; Chen S, 2013, Higher order Sobol' indices, https://arxiv.org/abs/1306.4068v1

Dick J; Gnewuch M, 2013, Optimal randomized changing dimension algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition, http://dx.doi.org/10.48550/arxiv.1306.2821

Dick J, 2013, Explicit constructions of quasi-Monte Carlo rules for the numerical integration of high dimensional periodic functions, http://dx.doi.org/10.48550/arxiv.1304.0329

Dick J, 2013, The decay of the Walsh coefficients of smooth functions, http://dx.doi.org/10.48550/arxiv.1304.1052

Dick J, 2013, Walsh spaces containing smooth functions and quasi-Monte Carlo rules of arbitrary high order, http://dx.doi.org/10.48550/arxiv.1304.0328

Dick J; Rudolf D; Zhu H, 2013, Discrepancy bounds for uniformly ergodic Markov chain quasi-Monte Carlo, https://arxiv.org/abs/1303.2423v3

Dick J; Kritzer P; Pillichshammer F; Woźniakowski H, 2012, Approximation of analytic functions in Korobov spaces, http://dx.doi.org/10.48550/arxiv.1211.5822

Dick J; Nuyens D; Pillichshammer F, 2012, Lattice rules for nonperiodic smooth integrands, http://dx.doi.org/10.48550/arxiv.1211.3799

Dick J; Gnewuch M, 2012, Infinite-Dimensional Integration in Weighted Hilbert Spaces: Anchored Decompositions, Optimal Deterministic Algorithms, and Higher Order Convergence, http://dx.doi.org/10.48550/arxiv.1210.4223

Dick J, 2012, A fast Fourier transform method for computing the weight enumerator polynomial and trigonometric degree of lattice rules, https://arxiv.org/abs/1207.5275v1

Brauchart J; Dick J, 2012, A characterization of Sobolev spaces on the sphere and an extension of Stolarsky's invariance principle to arbitrary smoothness, http://dx.doi.org/10.48550/arxiv.1203.5157

Dick J; Kritzer P, 2012, A higher order Blokh-Zyablov propagation rule for higher order nets, http://dx.doi.org/10.48550/arxiv.1203.4322

Aistleitner C; Brauchart J; Dick J, 2011, Point sets on the sphere $\mathbb{S}^2$ with small spherical cap discrepancy, http://dx.doi.org/10.48550/arxiv.1109.3265

Brauchart JS; Dick J, 2011, Quasi-Monte Carlo rules for numerical integration over the unit sphere $\mathbb{S}^2$, http://dx.doi.org/10.48550/arxiv.1101.5450

Baldeaux J; Dick J; Leobacher G; Nuyens D; Pillichshammer F, 2011, Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules, http://dx.doi.org/10.48550/arxiv.1105.2599

Chen S; Dick J; Owen AB, 2011, Consistency of Markov chain quasi-Monte Carlo on continuous state spaces, http://dx.doi.org/10.48550/arxiv.1105.1896

Brauchart JS; Dick J, 2011, A simple Proof of Stolarsky's Invariance Principle, http://dx.doi.org/10.48550/arxiv.1101.4448

Baldeaux J; Dick J, 2010, A Construction of Polynomial Lattice Rules with Small Gain Coefficients, http://dx.doi.org/10.48550/arxiv.1003.4785

Liu K-I; Dick J; Hickernell FJ, 2008, A Multivariate Fast Discrete Walsh Transform with an Application to Function Interpolation, http://dx.doi.org/10.48550/arxiv.0808.0487

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