A Method for Approximate Inversion of the Hyperbolic CDF. - Gunther Leobacher; Friedrich Pillichshammer (Computing, 2002)

On the L2-Discrepancy of the Sobol-Hammersley Net in Dimension 3. - Gerhard Larcher; Friedrich Pillichshammer (J. Complex., 2002)

Bounds for the weighted Lp discrepancy and tractability of integration. - Gunther Leobacher; Friedrich Pillichshammer (J. Complex., 2003)

On the root mean square weighted L2 discrepancy of scrambled nets. - Friedrich Pillichshammer (J. Complex., 2004)

A lower bound for rank 2 lattice rules. - Friedrich Pillichshammer (Math. Comput., 2004)

Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces. - Josef Dick; Friedrich Pillichshammer (J. Complex., 2005)

Diaphony, discrepancy, spectral test and worst-case error. - Josef Dick; Friedrich Pillichshammer (Math. Comput. Simul., 2005)

Construction algorithms for polynomial lattice rules for multivariate integration. - Josef Dick; Frances Y. Kuo; Friedrich Pillichshammer; Ian H. Sloan (Math. Comput., 2005)

Construction Algorithms for Digital Nets with Low Weighted Star Discrepancy. - Josef Dick; Gunther Leobacher; Friedrich Pillichshammer (SIAM J. Numer. Anal., 2005)

On the mean square weighted L2 discrepancy of randomized digital nets in prime base. - Ligia L. Cristea; Josef Dick; Friedrich Pillichshammer (J. Complex., 2006)

Cyclic Digital Nets, Hyperplane Nets, and Multivariate Integration in Sobolev Spaces. - Gottlieb Pirsic; Josef Dick; Friedrich Pillichshammer (SIAM J. Numer. Anal., 2006)

The construction of good extensible Korobov rules. - Josef Dick; Friedrich Pillichshammer; Benjamin J. Waterhouse (Computing, 2007)

Constructions of general polynomial lattice rules based on the weighted star discrepancy. - Josef Dick; Peter Kritzer; Gunther Leobacher; Friedrich Pillichshammer (Finite Fields Their Appl., 2007)

On the existence of higher order polynomial lattices based on a generalized figure of merit. - Josef Dick; Peter Kritzer; Friedrich Pillichshammer; Wolfgang Ch. Schmid (J. Complex., 2007)

Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules. - Josef Dick; Friedrich Pillichshammer (J. Complex., 2007)

The tent transformation can improve the convergence rate of quasi-Monte Carlo algorithms using digital nets. - Ligia L. Cristea; Josef Dick; Gunther Leobacher; Friedrich Pillichshammer (Numerische Mathematik, 2007)

Tractability properties of the weighted star discrepancy. - Aicke Hinrichs; Friedrich Pillichshammer; Wolfgang Ch. Schmid (J. Complex., 2008)

Component-by-component construction of low-discrepancy point sets of small size. - Benjamin Doerr; Michael Gnewuch; Peter Kritzer; Friedrich Pillichshammer (Monte Carlo Methods Appl., 2008)

The construction of good extensible rank-1 lattices. - Josef Dick; Friedrich Pillichshammer; Benjamin J. Waterhouse (Math. Comput., 2008)

The Sum of Distances between Vertices of a Convex Polygon with Unit Perimeter. - Gerhard Larcher; Friedrich Pillichshammer (Am. Math. Mon., 2008)

Learning a function from noisy samples at a finite sparse set of points. - Andreas Hofinger; Friedrich Pillichshammer (J. Approx. Theory, 2009)

Euler's Constant and Averages of Fractional Parts. - Friedrich Pillichshammer (Am. Math. Mon., 2010)

Duality theory and propagation rules for higher order nets. - Jan Baldeaux; Josef Dick; Friedrich Pillichshammer (Discret. Math., 2011)

Extensible hyperplane nets. - Gottlieb Pirsic; Friedrich Pillichshammer (Finite Fields Their Appl., 2011)

Construction algorithms for higher order polynomial lattice rules. - Jan Baldeaux; Josef Dick; Julia Greslehner; Friedrich Pillichshammer (J. Complex., 2011)

Exponential convergence and tractability of multivariate integration for Korobov spaces. - Josef Dick; Gerhard Larcher; Friedrich Pillichshammer; Henryk Wozniakowski (Math. Comput., 2011)

Discrepancy of higher rank polynomial lattice point sets. - Julia Greslehner; Friedrich Pillichshammer (Monte Carlo Methods Appl., 2012)

Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules. - Jan Baldeaux; Josef Dick; Gunther Leobacher; Dirk Nuyens; Friedrich Pillichshammer (Numer. Algorithms, 2012)

On the existence and distribution quality of hyperplane sequences. - Friedrich Pillichshammer; Gottlieb Pirsic (Finite Fields Their Appl., 2013)

Some highlights of Harald Niederreiter's work. - Gerhard Larcher; Friedrich Pillichshammer; Arne Winterhof; Chaoping Xing (Applied Algebra and Number Theory, 2014)

Explicit constructions of point sets and sequences with low discrepancy. - Josef Dick; Friedrich Pillichshammer (Uniform Distribution and Quasi-Monte Carlo Methods, 2014)

Tractability of multivariate analytic problems. - Peter Kritzer; Friedrich Pillichshammer; Henryk Wozniakowski (Uniform Distribution and Quasi-Monte Carlo Methods, 2014)

Tractability of Multivariate Integration in Hybrid Function Spaces. - Peter Kritzer; Friedrich Pillichshammer (MCQMC, 2014)

The Inverse of the Star-Discrepancy Problem and the Generation of Pseudo-Random Numbers. - Josef Dick; Friedrich Pillichshammer (SETA, 2014)

Approximation of analytic functions in Korobov spaces. - Josef Dick; Peter Kritzer; Friedrich Pillichshammer; Henryk Wozniakowski (J. Complex., 2014)

Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces. - Peter Kritzer; Friedrich Pillichshammer; Henryk Wozniakowski (Math. Comput., 2014)

Lattice rules for nonperiodic smooth integrands. - Josef Dick; Dirk Nuyens; Friedrich Pillichshammer (Numerische Mathematik, 2014)

Proof techniques in quasi-Monte Carlo theory. - Josef Dick; Aicke Hinrichs; Friedrich Pillichshammer (J. Complex., 2015)

Integration in Hermite spaces of analytic functions. - Christian Irrgeher; Peter Kritzer; Gunther Leobacher; Friedrich Pillichshammer (J. Complex., 2015)

A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights. - Josef Dick; Peter Kritzer; Gunther Leobacher; Friedrich Pillichshammer (J. Comput. Appl. Math., 2015)

Numerical integration in log-Korobov and log-cosine spaces. - Josef Dick; Peter Kritzer; Gunther Leobacher; Friedrich Pillichshammer (Numer. Algorithms, 2015)

Lattice based integration algorithms: Kronecker sequences and rank-1 lattices. - Josef Dick; Friedrich Pillichshammer; Kosuke Suzuki; Mario Ullrich; Takehito Yoshiki (CoRR, 2016)

Approximation in Hermite spaces of smooth functions. - Christian Irrgeher; Peter Kritzer; Friedrich Pillichshammer; Henryk Wozniakowski (J. Approx. Theory, 2016)

Tractability of multivariate approximation defined over Hilbert spaces with exponential weights. - Christian Irrgeher; Peter Kritzer; Friedrich Pillichshammer; Henryk Wozniakowski (J. Approx. Theory, 2016)

Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces. - Peter Hellekalek; Peter Kritzer; Friedrich Pillichshammer (J. Complex., 2016)

Very low truncation dimension for high dimensional integration under modest error demand. - Peter Kritzer; Friedrich Pillichshammer; Grzegorz W. Wasilkowski (J. Complex., 2016)

A note on equivalence of anchored and ANOVA spaces; lower bounds. - Peter Kritzer; Friedrich Pillichshammer; Grzegorz W. Wasilkowski (J. Complex., 2017)

L∞-Approximation in Korobov spaces with exponential weights. - Peter Kritzer; Friedrich Pillichshammer; Henryk Wozniakowski (J. Complex., 2017)

Digital net properties of a polynomial analogue of Frolov's construction. - Josef Dick; Friedrich Pillichshammer; Kosuke Suzuki; Mario Ullrich; Takehito Yoshiki (Finite Fields Their Appl., 2018)

Tractability properties of the weighted star discrepancy of regular grids. - Friedrich Pillichshammer (J. Complex., 2018)

Editorial. - Evelyn Buckwar; Peter Kritzer; Gunther Leobacher; Friedrich Pillichshammer; Arne Winterhof (Math. Comput. Simul., 2018)

Integration and approximation in cosine spaces of smooth functions. - Christian Irrgeher; Peter Kritzer; Friedrich Pillichshammer (Math. Comput. Simul., 2018)

On the Optimal Order of Integration in Hermite Spaces with Finite Smoothness. - Josef Dick; Christian Irrgeher; Gunther Leobacher; Friedrich Pillichshammer (SIAM J. Numer. Anal., 2018)

Tractability properties of the weighted star discrepancy of the Halton sequence. - Aicke Hinrichs; Friedrich Pillichshammer; Shu Tezuka (J. Comput. Appl. Math., 2019)

Truncation in average and worst case settings for special classes of ∞-variate functions. - Peter Kritzer; Friedrich Pillichshammer; Grzegorz W. Wasilkowski (Math. Comput. Simul., 2019)

Truncation dimension for linear problems on multivariate function spaces. - Aicke Hinrichs; Peter Kritzer; Friedrich Pillichshammer; Grzegorz W. Wasilkowski (Numer. Algorithms, 2019)

A note on the periodic L2-discrepancy of Korobov's p-sets. - Josef Dick; Aicke Hinrichs; Friedrich Pillichshammer (CoRR, 2020)

Weighted integration over a cube based on digital nets and sequences. - Josef Dick; Friedrich Pillichshammer (CoRR, 2020)

On the relation of the spectral test to isotropic discrepancy and Lq-approximation in Sobolev spaces. - Mathias Sonnleitner; Friedrich Pillichshammer (CoRR, 2020)

On alternative quantization for doubly weighted approximation and integration over unbounded domains. - Peter Kritzer; Friedrich Pillichshammer; Leszek Plaskota; Grzegorz W. Wasilkowski (J. Approx. Theory, 2020)

Tractability properties of the discrepancy in Orlicz norms. - Josef Dick; Aicke Hinrichs; Friedrich Pillichshammer; Joscha Prochno (J. Complex., 2020)

Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals. - Peter Kritzer; Friedrich Pillichshammer; Henryk Wozniakowski (J. Complex., 2020)

A note on isotropic discrepancy and spectral test of lattice point sets. - Friedrich Pillichshammer; Mathias Sonnleitner (J. Complex., 2020)

On efficient weighted integration via a change of variables. - Peter Kritzer; Friedrich Pillichshammer; Leszek Plaskota; Grzegorz W. Wasilkowski (Numerische Mathematik, 2020)

Tractability of approximation in the weighted Korobov space in the worst-case setting - a complete picture. - Adrian Ebert; Friedrich Pillichshammer (J. Complex., 2021)

A note on Korobov lattice rules for integration of analytic functions. - Friedrich Pillichshammer (J. Complex., 2021)

On the relation of the spectral test to isotropic discrepancy and Lq-approximation in Sobolev spaces. - Mathias Sonnleitner; Friedrich Pillichshammer (J. Complex., 2021)

Weighted integration over a hyperrectangle based on digital nets and sequences. - Josef Dick; Friedrich Pillichshammer (J. Comput. Appl. Math., 2021)

Secure pseudorandom bit generators and point sets with low star-discrepancy. - Ana-Isabel Gómez; Domingo Gómez-Pérez; Friedrich Pillichshammer (J. Comput. Appl. Math., 2021)

On quasi-Monte Carlo methods in weighted ANOVA spaces. - Peter Kritzer; Friedrich Pillichshammer; Grzegorz W. Wasilkowski (Math. Comput., 2021)

Tractability of approximation in the weighted Korobov space in the worst-case setting. - Adrian Ebert; Peter Kritzer; Friedrich Pillichshammer (CoRR, 2022)

Optimal periodic L2-discrepancy and diaphony bounds for higher order digital sequences. - Friedrich Pillichshammer (CoRR, 2022)

Tractability of L2-approximation and integration in weighted Hermite spaces of finite smoothness. - Gunther Leobacher; Friedrich Pillichshammer; Adrian Ebert (CoRR, 2022)

The curse of dimensionality for the Lp-discrepancy with finite p. - Erich Novak; Friedrich Pillichshammer (CoRR, 2023)

Bernstein approximation and beyond: proofs by means of elementary probability theory. - Tiangang Cui; Friedrich Pillichshammer (CoRR, 2023)

Grid-Based Decimation for Wavelet Transforms With Stably Invertible Implementation. - Nicki Holighaus; Günther Koliander; Clara Hollomey; Friedrich Pillichshammer (IEEE ACM Trans. Audio Speech Lang. Process., 2023)

The BMO-discrepancy suffers from the curse of dimensionality. - Friedrich Pillichshammer (J. Complex., 2023)

Tractability of L2-approximation and integration in weighted Hermite spaces of finite smoothness. - Gunther Leobacher; Friedrich Pillichshammer; Adrian Ebert (J. Complex., 2023)

The curse of dimensionality for the Lp-discrepancy with finite p. - Erich Novak; Friedrich Pillichshammer (J. Complex., 2023)

The Lp-discrepancy for finite p>1 suffers from the curse of dimensionality. - Erich Novak; Friedrich Pillichshammer (CoRR, 2024)

Conditions for tractability of the weighted Lp-discrepancy and integration in non-homogeneous tensor product spaces. - Erich Novak; Friedrich Pillichshammer (CoRR, 2024)

Lebesgue constants for the Walsh system and the discrepancy of the van der Corput sequence. - Josef Dick; Friedrich Pillichshammer (CoRR, 2024)

Intractability results for integration in tensor product spaces. - Erich Novak; Friedrich Pillichshammer (J. Complex., 2025)

Quasi-Monte Carlo integration over Rs based on digital nets. - Josef Dick; Friedrich Pillichshammer (J. Comput. Appl. Math., 2025)

Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation. - Tiangang Cui; Josef Dick; Friedrich Pillichshammer (Adv. Comput. Math., 2025)