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ORCIDFriedrich Pillichshammer
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- affiliation: Johannes Kepler Universität Linz, Austria
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2020 – today
- 2024
[i21]Erich Novak, Friedrich Pillichshammer:
The Lp-discrepancy for finite p>1 suffers from the curse of dimensionality. CoRR abs/2403.07961 (2024)- [i20]Erich Novak, Friedrich Pillichshammer:
Intractability results for integration in tensor product spaces. CoRR abs/2404.17163 (2024) - [i19]Erich Novak, Friedrich Pillichshammer:
Conditions for tractability of the weighted Lp-discrepancy and integration in non-homogeneous tensor product spaces. CoRR abs/2405.12729 (2024) - 2023
- [j65]Friedrich Pillichshammer
:
The BMO-discrepancy suffers from the curse of dimensionality. J. Complex. 76: 101739 (2023) - [j64]Gunther Leobacher, Friedrich Pillichshammer, Adrian Ebert:
Tractability of L2-approximation and integration in weighted Hermite spaces of finite smoothness. J. Complex. 78: 101768 (2023) - [j63]Erich Novak, Friedrich Pillichshammer:
The curse of dimensionality for the Lp-discrepancy with finite p. J. Complex. 79: 101769 (2023) - [j62]Nicki Holighaus, Günther Koliander, Clara Hollomey, Friedrich Pillichshammer:
Grid-Based Decimation for Wavelet Transforms With Stably Invertible Implementation. IEEE ACM Trans. Audio Speech Lang. Process. 31: 789-801 (2023) - [i18]Nicki Holighaus, Günther Koliander, Clara Hollomey, Friedrich Pillichshammer:
Grid-Based Decimation for Wavelet Transforms with Stably Invertible Implementation. CoRR abs/2301.01640 (2023) - [i17]Friedrich Pillichshammer:
The BMO-discrepancy suffers from the curse of dimensionality. CoRR abs/2301.06853 (2023) - [i16]Erich Novak, Friedrich Pillichshammer:
The curse of dimensionality for the Lp-discrepancy with finite p. CoRR abs/2303.01787 (2023) - [i15]Tiangang Cui, Josef Dick, Friedrich Pillichshammer:
Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation. CoRR abs/2304.14786 (2023) - [i14]Tiangang Cui, Friedrich Pillichshammer:
Bernstein approximation and beyond: proofs by means of elementary probability theory. CoRR abs/2307.11533 (2023) - 2022
- [i13]Adrian Ebert, Peter Kritzer, Friedrich Pillichshammer:
Tractability of approximation in the weighted Korobov space in the worst-case setting. CoRR abs/2201.09940 (2022) - [i12]Friedrich Pillichshammer:
Optimal periodic L2-discrepancy and diaphony bounds for higher order digital sequences. CoRR abs/2212.05747 (2022) - [i11]Gunther Leobacher, Friedrich Pillichshammer, Adrian Ebert:
Tractability of L2-approximation and integration in weighted Hermite spaces of finite smoothness. CoRR abs/2212.05780 (2022) - 2021
- [j61]Friedrich Pillichshammer:
A note on Korobov lattice rules for integration of analytic functions. J. Complex. 63: 101524 (2021) - [j60]Adrian Ebert, Friedrich Pillichshammer:
Tractability of approximation in the weighted Korobov space in the worst-case setting - a complete picture. J. Complex. 67: 101571 (2021) - [j59]Mathias Sonnleitner, Friedrich Pillichshammer:
On the relation of the spectral test to isotropic discrepancy and Lq-approximation in Sobolev spaces. J. Complex. 67: 101576 (2021) - [j58]Josef Dick, Friedrich Pillichshammer:
Weighted integration over a hyperrectangle based on digital nets and sequences. J. Comput. Appl. Math. 393: 113509 (2021) - [j57]Ana-Isabel Gómez, Domingo Gómez-Pérez, Friedrich Pillichshammer:
Secure pseudorandom bit generators and point sets with low star-discrepancy. J. Comput. Appl. Math. 396: 113601 (2021) - [j56]Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski:
On quasi-Monte Carlo methods in weighted ANOVA spaces. Math. Comput. 90(329): 1381-1406 (2021) - [i10]Adrian Ebert, Friedrich Pillichshammer:
Tractability of approximation in the weighted Korobov space in the worst-case setting - a complete picture. CoRR abs/2102.01449 (2021) - 2020
- [j55]Peter Kritzer, Friedrich Pillichshammer, Leszek Plaskota, Grzegorz W. Wasilkowski:
On alternative quantization for doubly weighted approximation and integration over unbounded domains. J. Approx. Theory 256: 105433 (2020) - [j54]Friedrich Pillichshammer, Mathias Sonnleitner:
A note on isotropic discrepancy and spectral test of lattice point sets. J. Complex. 58: 101441 (2020) - [j53]Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer, Joscha Prochno:
Tractability properties of the discrepancy in Orlicz norms. J. Complex. 61: 101468 (2020) - [j52]Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski:
Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals. J. Complex. 61: 101501 (2020) - [j51]Peter Kritzer, Friedrich Pillichshammer, Leszek Plaskota, Grzegorz W. Wasilkowski:
On efficient weighted integration via a change of variables. Numerische Mathematik 146(3): 545-570 (2020) - [i9]Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer:
A note on the periodic L2-discrepancy of Korobov's p-sets. CoRR abs/2001.01973 (2020) - [i8]Peter Kritzer, Friedrich Pillichshammer, Greg W. Wasilkowski:
On Quasi-Monte Carlo Methods in Weighted ANOVA Spaces. CoRR abs/2001.05765 (2020) - [i7]Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski:
Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals. CoRR abs/2001.11740 (2020) - [i6]Josef Dick, Friedrich Pillichshammer:
Weighted integration over a cube based on digital nets and sequences. CoRR abs/2009.06993 (2020) - [i5]Friedrich Pillichshammer:
A note on Korobov lattice rules for integration of analytic functions. CoRR abs/2010.03286 (2020) - [i4]Mathias Sonnleitner, Friedrich Pillichshammer:
On the relation of the spectral test to isotropic discrepancy and Lq-approximation in Sobolev spaces. CoRR abs/2010.04522 (2020)
2010 – 2019
- 2019
- [j50]Aicke Hinrichs, Friedrich Pillichshammer, Shu Tezuka:
Tractability properties of the weighted star discrepancy of the Halton sequence. J. Comput. Appl. Math. 350: 46-54 (2019) - [j49]Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski:
Truncation in average and worst case settings for special classes of ∞-variate functions. Math. Comput. Simul. 161: 52-65 (2019) - [j48]Aicke Hinrichs, Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski:
Truncation dimension for linear problems on multivariate function spaces. Numer. Algorithms 80(2): 661-685 (2019) - [i3]Peter Kritzer, Friedrich Pillichshammer, Leszek Plaskota, Grzegorz W. Wasilkowski:
On alternative quantization for doubly weighted approximation and integration over unbounded domains. CoRR abs/1907.04015 (2019) - [i2]Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer, Joscha Prochno:
Tractability properties of the discrepancy in Orlicz norms. CoRR abs/1910.12571 (2019) - 2018
- [j47]Josef Dick, Friedrich Pillichshammer, Kosuke Suzuki, Mario Ullrich, Takehito Yoshiki:
Digital net properties of a polynomial analogue of Frolov's construction. Finite Fields Their Appl. 51: 325-350 (2018) - [j46]Friedrich Pillichshammer:
Tractability properties of the weighted star discrepancy of regular grids. J. Complex. 46: 103-112 (2018) - [j45]Evelyn Buckwar, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer, Arne Winterhof:
Editorial. Math. Comput. Simul. 143: 1-2 (2018) - [j44]Christian Irrgeher, Peter Kritzer, Friedrich Pillichshammer:
Integration and approximation in cosine spaces of smooth functions. Math. Comput. Simul. 143: 35-45 (2018) - [j43]Josef Dick, Christian Irrgeher, Gunther Leobacher, Friedrich Pillichshammer:
On the Optimal Order of Integration in Hermite Spaces with Finite Smoothness. SIAM J. Numer. Anal. 56(2): 684-707 (2018) - 2017
- [j42]Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski:
A note on equivalence of anchored and ANOVA spaces; lower bounds. J. Complex. 38: 31-38 (2017) - [j41]Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski:
L∞-Approximation in Korobov spaces with exponential weights. J. Complex. 41: 102-125 (2017) - 2016
- [j40]Christian Irrgeher, Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski:
Approximation in Hermite spaces of smooth functions. J. Approx. Theory 207: 98-126 (2016) - [j39]Christian Irrgeher, Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski:
Tractability of multivariate approximation defined over Hilbert spaces with exponential weights. J. Approx. Theory 207: 301-338 (2016) - [j38]Peter Hellekalek, Peter Kritzer, Friedrich Pillichshammer:
Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces. J. Complex. 33: 169-189 (2016) - [j37]Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski:
Very low truncation dimension for high dimensional integration under modest error demand. J. Complex. 35: 63-85 (2016) - [i1]Josef Dick, Friedrich Pillichshammer, Kosuke Suzuki, Mario Ullrich, Takehito Yoshiki:
Lattice based integration algorithms: Kronecker sequences and rank-1 lattices. CoRR abs/1608.08687 (2016) - 2015
- [j36]Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer:
Proof techniques in quasi-Monte Carlo theory. J. Complex. 31(3): 327-371 (2015) - [j35]Christian Irrgeher, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer:
Integration in Hermite spaces of analytic functions. J. Complex. 31(3): 380-404 (2015) - [j34]Josef Dick, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer:
A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights. J. Comput. Appl. Math. 276: 1-15 (2015) - [j33]Josef Dick, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer:
Numerical integration in log-Korobov and log-cosine spaces. Numer. Algorithms 70(4): 753-775 (2015) - 2014
- [j32]Josef Dick, Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski:
Approximation of analytic functions in Korobov spaces. J. Complex. 30(2): 2-28 (2014) - [j31]Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski:
Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces. Math. Comput. 83(287): 1189-1206 (2014) - [j30]Josef Dick, Dirk Nuyens, Friedrich Pillichshammer:
Lattice rules for nonperiodic smooth integrands. Numerische Mathematik 126(2): 259-291 (2014) - [c2]Peter Kritzer, Friedrich Pillichshammer:
Tractability of Multivariate Integration in Hybrid Function Spaces. MCQMC 2014: 437-454 - [c1]Josef Dick, Friedrich Pillichshammer:
The Inverse of the Star-Discrepancy Problem and the Generation of Pseudo-Random Numbers. SETA 2014: 173-184 - [p3]Gerhard Larcher, Friedrich Pillichshammer, Arne Winterhof, Chaoping Xing:
Some highlights of Harald Niederreiter's work. Applied Algebra and Number Theory 2014: 1-21 - [p2]Josef Dick, Friedrich Pillichshammer:
Explicit constructions of point sets and sequences with low discrepancy. Uniform Distribution and Quasi-Monte Carlo Methods 2014: 63-86 - [p1]Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski:
Tractability of multivariate analytic problems. Uniform Distribution and Quasi-Monte Carlo Methods 2014: 147-170 - [e2]Gerhard Larcher, Friedrich Pillichshammer, Arne Winterhof, Chaoping Xing:
Applied Algebra and Number Theory. Cambridge University Press 2014, ISBN 9781139696456 [contents] - [e1]Peter Kritzer, Harald Niederreiter, Friedrich Pillichshammer, Arne Winterhof:
Uniform Distribution and Quasi-Monte Carlo Methods - Discrepancy, Integration and Applications. Radon Series on Computational and Applied Mathematics 15, De Gruyter 2014, ISBN 978-3-11-031793-0 [contents] - 2013
- [j29]Friedrich Pillichshammer, Gottlieb Pirsic:
On the existence and distribution quality of hyperplane sequences. Finite Fields Their Appl. 22: 1-15 (2013) - 2012
- [j28]Julia Greslehner, Friedrich Pillichshammer:
Discrepancy of higher rank polynomial lattice point sets. Monte Carlo Methods Appl. 18(1): 79-108 (2012) - [j27]Jan Baldeaux, Josef Dick, Gunther Leobacher, Dirk Nuyens, Friedrich Pillichshammer:
Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules. Numer. Algorithms 59(3): 403-431 (2012) - 2011
- [j26]Jan Baldeaux, Josef Dick, Friedrich Pillichshammer:
Duality theory and propagation rules for higher order nets. Discret. Math. 311(5): 362-386 (2011) - [j25]Gottlieb Pirsic, Friedrich Pillichshammer:
Extensible hyperplane nets. Finite Fields Their Appl. 17(5): 407-423 (2011) - [j24]Jan Baldeaux, Josef Dick, Julia Greslehner, Friedrich Pillichshammer:
Construction algorithms for higher order polynomial lattice rules. J. Complex. 27(3-4): 281-299 (2011) - [j23]Josef Dick, Gerhard Larcher, Friedrich Pillichshammer, Henryk Wozniakowski:
Exponential convergence and tractability of multivariate integration for Korobov spaces. Math. Comput. 80(274): 905-930 (2011) - 2010
- [j22]Friedrich Pillichshammer:
Euler's Constant and Averages of Fractional Parts. Am. Math. Mon. 117(1): 78-83 (2010)
2000 – 2009
- 2009
- [j21]Andreas Hofinger, Friedrich Pillichshammer:
Learning a function from noisy samples at a finite sparse set of points. J. Approx. Theory 161(2): 448-463 (2009) - 2008
- [j20]Aicke Hinrichs, Friedrich Pillichshammer, Wolfgang Ch. Schmid:
Tractability properties of the weighted star discrepancy. J. Complex. 24(2): 134-143 (2008) - [j19]Benjamin Doerr, Michael Gnewuch, Peter Kritzer, Friedrich Pillichshammer:
Component-by-component construction of low-discrepancy point sets of small size. Monte Carlo Methods Appl. 14(2): 129-149 (2008) - [j18]Josef Dick, Friedrich Pillichshammer, Benjamin J. Waterhouse:
The construction of good extensible rank-1 lattices. Math. Comput. 77(264): 2345-2373 (2008) - [j17]Gerhard Larcher, Friedrich Pillichshammer:
The Sum of Distances between Vertices of a Convex Polygon with Unit Perimeter. Am. Math. Mon. 115(4): 350-355 (2008) - 2007
- [j16]Josef Dick, Friedrich Pillichshammer, Benjamin J. Waterhouse:
The construction of good extensible Korobov rules. Computing 79(1): 79-91 (2007) - [j15]Josef Dick, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer:
Constructions of general polynomial lattice rules based on the weighted star discrepancy. Finite Fields Their Appl. 13(4): 1045-1070 (2007) - [j14]Josef Dick, Friedrich Pillichshammer:
Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules. J. Complex. 23(4-6): 436-453 (2007) - [j13]Josef Dick, Peter Kritzer, Friedrich Pillichshammer, Wolfgang Ch. Schmid:
On the existence of higher order polynomial lattices based on a generalized figure of merit. J. Complex. 23(4-6): 581-593 (2007) - [j12]Ligia L. Cristea, Josef Dick, Gunther Leobacher, Friedrich Pillichshammer:
The tent transformation can improve the convergence rate of quasi-Monte Carlo algorithms using digital nets. Numerische Mathematik 105(3): 413-455 (2007) - 2006
- [j11]Ligia L. Cristea, Josef Dick, Friedrich Pillichshammer:
On the mean square weighted L2 discrepancy of randomized digital nets in prime base. J. Complex. 22(5): 605-629 (2006) - [j10]Gottlieb Pirsic, Josef Dick, Friedrich Pillichshammer:
Cyclic Digital Nets, Hyperplane Nets, and Multivariate Integration in Sobolev Spaces. SIAM J. Numer. Anal. 44(1): 385-411 (2006) - 2005
- [j9]Josef Dick, Friedrich Pillichshammer:
Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces. J. Complex. 21(2): 149-195 (2005) - [j8]Josef Dick, Friedrich Pillichshammer:
Diaphony, discrepancy, spectral test and worst-case error. Math. Comput. Simul. 70(3): 159-171 (2005) - [j7]Josef Dick, Frances Y. Kuo, Friedrich Pillichshammer, Ian H. Sloan:
Construction algorithms for polynomial lattice rules for multivariate integration. Math. Comput. 74(252): 1895-1921 (2005) - [j6]Josef Dick, Gunther Leobacher, Friedrich Pillichshammer:
Construction Algorithms for Digital Nets with Low Weighted Star Discrepancy. SIAM J. Numer. Anal. 43(1): 76-95 (2005) - 2004
- [j5]Friedrich Pillichshammer:
On the root mean square weighted L2 discrepancy of scrambled nets. J. Complex. 20(5): 638-653 (2004) - [j4]Friedrich Pillichshammer:
A lower bound for rank 2 lattice rules. Math. Comput. 73(246): 853-860 (2004) - 2003
- [j3]Gunther Leobacher, Friedrich Pillichshammer:
Bounds for the weighted Lp discrepancy and tractability of integration. J. Complex. 19(4): 529-547 (2003) - 2002
- [j2]Gunther Leobacher, Friedrich Pillichshammer:
A Method for Approximate Inversion of the Hyperbolic CDF. Computing 69(4): 291-303 (2002) - [j1]Gerhard Larcher, Friedrich Pillichshammer:
On the L2-Discrepancy of the Sobol-Hammersley Net in Dimension 3. J. Complex. 18(2): 415-448 (2002)
Coauthor Index
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