Friedrich Pillichshammer

Numerical Analysis · 2001–2014

A researcher in the Science corpus: 4 papers; trusts 12 researchers and is trusted by 22 researchers here, as inferred from the citation graph.

Subfields

• Numerical Analysis — 26 citations into it; #424 of 3,586 by trust here, #1,061 by citations
• Applied Mathematics — 13 citations into it; #1,595 of 7,620 by trust here, #3,258 by citations
• Statistics and Probability — 8 citations into it
• Algebra and Number Theory — 7 citations into it; #997 of 2,864 by trust here, #2,062 by citations
• Computational Theory and Mathematics — 6 citations into it

Whom Friedrich Pillichshammer trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Art B. Owen
2. Fred J. Hickernell
3. Henryk Wozniakowski
4. Josef Dick
5. Erich Novak
6. Maxim Skriganov
7. Christiane Lemieux
8. Dirk Nuyens
9. Ian H. Sloan
10. Michael T. Lacey

Who trusts Friedrich Pillichshammer overall

1. Chris J. Oates
2. Mark A. Girolami
3. Rémi Bardenet
4. Raphaël de Fondeville
5. Mohammad Hadigol
6. Josef Dick
7. Shakir Mohamed
8. Krzysztof Marcin Choromanski
9. Marc Hallin
10. Rajiv Khanna

Papers from Friedrich Pillichshammer's perspective

Ordered by how strongly the researchers Friedrich Pillichshammer trusts endorse each paper. Same corpus, a different order for every researcher.

1. Random number generation and Quasi-Monte Carlo methods
2. Average case complexity of multivariate integration
3. On the asymptotic distribution of scrambled net quadrature
4. A generalized discrepancy and quadrature error bound
5. Explicit constructions in the classical mean squares problem in irregularities of point distribution
6. Theory of Reproducing Kernels.
7. On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals
8. Scrambled net variance for integrals of smooth functions
9. Monte Carlo and Quasi-Monte Carlo Sampling
10. The inverse of the star-discrepancy depends linearly on the dimension

Their papers

• Introduction to Quasi-Monte Carlo Integration and Applications (2014) — 138 citations
• Discrepancy Theory and Quasi-Monte Carlo Integration (2014) — 99 citations
• Digital Nets and Sequences: Discrepancy Theory and Quasi-Monte Carlo Integration (2010) — 736 citations
• Walsh Series Analysis of the L2-Discrepancyof Symmetrisized Point Sets (2001) — 56 citations