Friedrich Pillichshammer

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A.Univ.-Prof.

Johannes Kepler University Linz

Austria

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About

Friedrich Pillichshammer is an A.Univ.-Prof. at Johannes Kepler Universität Linz, Austria. His research areas encompass Quasi-Monte Carlo integration, discrepancy theory, and the tractability of numerical methods in high-dimensional spaces. His recent articles address topics such as digital nets, Walsh systems, and integration in tensor product spaces, contributing significantly to the field of computational mathematics.

Recent Grants

Grant: Close

Digital Nets and Lattice Based Integration Rules

Open Date: 2014-02-01

Close Date: 2022-01-01

Grant: Close

Discrepancy of Digital Nets and Sequences

Open Date: 2005-03-15

Close Date: 2005-12-31

Grant: Close

Discrepancy of Digital Nets and Sequences

Open Date: 2005-01-01

Close Date: 2012-07-01

Articles (17)

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2025

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2023

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2023

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2023

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2023

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2023

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2022

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2021

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2021

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2020

Collaborators (3)

Tiangang Cui

MONASH UNIVERSITY

AUSTRALIA

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Ana Isabel Gomez

Universidad Rey Juan Carlos

SPAIN

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Josef Dick

Professor

University of New South Wales

AUSTRALIA

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Friedrich Pillichshammer

Research Interests

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Contact this professor

About

Recent Grants

Articles (17)

Quasi-Monte Carlo integration over Rs based on digital nets

Lebesgue constants for the Walsh system and the discrepancy of the van der Corput sequence

Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation

The Lp-discrepancy for finite p>1 suffers from the curse of dimensionality

Conditions for tractability of the weighted $$L_p$$-discrepancy and integration in non-homogeneous tensor product spaces

Intractability results for integration in tensor product spaces

Bernstein approximation and beyond: proofs by means of elementary probability theory

Bernstein approximation and beyond: Proofs by means of elementary probability theory

The curse of dimensionality for the L-discrepancy with finite p

Tractability of L2-approximation and integration in weighted Hermite spaces of finite smoothness

The BMO-discrepancy suffers from the curse of dimensionality

Optimal periodic L2-discrepancy and diaphony bounds for higher order digital sequences

Grid-Based Decimation for Wavelet Transforms With Stably Invertible Implementation

Exact order of extreme $$L_p$$ discrepancy of infinite sequences in arbitrary dimension

Secure pseudorandom bit generators and point sets with low star-discrepancy

Weighted integration over a hyperrectangle based on digital nets and sequences

A note on the periodic $$L_2$$-discrepancy of Korobov’s p-sets

Collaborators (3)

Tiangang Cui

Ana Isabel Gomez

Josef Dick

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