Rapid mixing of Swendsen-Wang and single-bond dynamics in two dimensions - Mario Ullrich (CoRR, 2012)

Heat-bath Markov chains have no negative eigenvalues - Catherine S. Greenhill; Mario Ullrich (CoRR, 2013)

Comparison of Swendsen-Wang and heat-bath dynamics. - Mario Ullrich (Random Struct. Algorithms, 2013)

On "Upper Error Bounds for Quadrature Formulas on Function Classes" by K.K. Frolov. - Mario Ullrich (MCQMC, 2014)

On weak tractability of the Clenshaw-Curtis Smolyak algorithm. - Aicke Hinrichs; Erich Novak; Mario Ullrich (J. Approx. Theory, 2014)

The curse of dimensionality for numerical integration of smooth functions II. - Aicke Hinrichs; Erich Novak; Mario Ullrich; Henryk Wozniakowski (J. Complex., 2014)

The curse of dimensionality for numerical integration of smooth functions. - Aicke Hinrichs; Erich Novak; Mario Ullrich; Henryk Wozniakowski (Math. Comput., 2014)

Swendsen-Wang Is Faster than Single-Bond Dynamics. - Mario Ullrich (SIAM J. Discret. Math., 2014)

Complexity of oscillatory integration for univariate Sobolev spaces. - Erich Novak; Mario Ullrich; Henryk Wozniakowski (J. Complex., 2015)

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

The Role of Frolov's Cubature Formula for Functions with Bounded Mixed Derivative. - Mario Ullrich; Tino Ullrich (SIAM J. Numer. Anal., 2016)

Complexity of oscillatory integrals on the real line. - Erich Novak; Mario Ullrich; Henryk Wozniakowski; Shun Zhang 002 (Adv. Comput. Math., 2017)

Product rules are optimal for numerical integration in classical smoothness spaces. - Aicke Hinrichs; Erich Novak; Mario Ullrich; Henryk Wozniakowski (J. Complex., 2017)

A Monte Carlo Method for Integration of Multivariate Smooth Functions. - Mario Ullrich (SIAM J. Numer. Anal., 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)

Comparison of hit-and-run, slice sampler and random walk Metropolis. - Daniel Rudolf; Mario Ullrich (J. Appl. Probab., 2018)

An upper bound on the minimal dispersion. - Mario Ullrich; Jan Vybíral (J. Complex., 2018)

A lower bound for the dispersion on the torus. - Mario Ullrich (Math. Comput. Simul., 2018)

A note on the dispersion of admissible lattices. - Mario Ullrich (Discret. Appl. Math., 2019)

Lattice rules with random n achieve nearly the optimal O(n-α-1∕2) error independently of the dimension. - Peter Kritzer; Frances Y. Kuo; Dirk Nuyens; Mario Ullrich (J. Approx. Theory, 2019)

The curse of dimensionality for numerical integration on general domains. - Aicke Hinrichs; Joscha Prochno; Mario Ullrich (J. Complex., 2019)

The minimal k-dispersion of point sets in high dimensions. - Aicke Hinrichs; Joscha Prochno; Mario Ullrich; Jan Vybíral (J. Complex., 2019)

On the worst-case error of least squares algorithms for L2-approximation with high probability. - Mario Ullrich (CoRR, 2020)

Function values are enough for L2-approximation: Part II. - David Krieg 001; Mario Ullrich (CoRR, 2020)

On the fixed volume discrepancy of the Fibonacci sets in the integral norms. - Vladimir N. Temlyakov; Mario Ullrich (J. Complex., 2020)

On the worst-case error of least squares algorithms for L2-approximation with high probability. - Mario Ullrich (J. Complex., 2020)

Numerical Performance of Optimized Frolov Lattices in Tensor Product Reproducing Kernel Sobolev Spaces. - Christopher Kacwin; Jens Oettershagen; Mario Ullrich; Tino Ullrich (Found. Comput. Math., 2021)

Function Values Are Enough for L2-Approximation. - David Krieg 001; Mario Ullrich (Found. Comput. Math., 2021)

Function values are enough for L2-approximation: Part II. - David Krieg 001; Mario Ullrich (J. Complex., 2021)

Deterministic Constructions of High-Dimensional Sets with Small Dispersion. - Mario Ullrich; Jan Vybíral (Algorithmica, 2022)

A sharp upper bound for sampling numbers in L2. - Matthieu Dolbeault; David Krieg 001; Mario Ullrich (CoRR, 2022)

Approximation and Geometry in High Dimensions. - Erich Novak; Joscha Prochno; Mario Ullrich (J. Complex., 2022)

Sampling recovery in the uniform norm. - David Krieg 001; Kateryna Pozharska; Mario Ullrich; Tino Ullrich (CoRR, 2023)

On the power of iid information for linear approximation. - Mathias Sonnleitner; Mario Ullrich (CoRR, 2023)

Exponential tractability of L2-approximation with function values. - David Krieg 001; Pawel Siedlecki; Mario Ullrich; Henryk Wozniakowski (Adv. Comput. Math., 2023)

Sampling projections in the uniform norm. - David Krieg 001; Kateryna Pozharska; Mario Ullrich; Tino Ullrich (CoRR, 2024)

On the power of adaption and randomization. - David Krieg 001; Erich Novak; Mario Ullrich (CoRR, 2024)

How many continuous measurements are needed to learn a vector? - David Krieg 001; Erich Novak; Mario Ullrich (CoRR, 2024)

Stefan Heinrich is the Winner of the 2024 Best Paper Award of the Journal of Complexity. - Erich Novak; Mario Ullrich; Jan Vybíral (J. Complex., 2025)

Nonlocal techniques for the analysis of deep ReLU neural network approximations. - Cornelia Schneider; Mario Ullrich; Jan Vybíral (CoRR, 2025)

Sparse grids vs. random points for high-dimensional polynomial approximation. - Jakob Eggl; Elias Mindlberger; Mario Ullrich (CoRR, 2025)

Sampling and entropy numbers in the uniform norm. - Mario Ullrich (CoRR, 2025)