## Kritzer, Peter

Compute Distance To:
 Author ID: kritzer.peter Published as: Kritzer, Peter; Kritzer, P. External Links: ORCID
 Documents Indexed: 74 Publications since 2005 3 Contributions as Editor Reviewing Activity: 48 Reviews Co-Authors: 38 Co-Authors with 71 Joint Publications 984 Co-Co-Authors
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### Co-Authors

 6 single-authored 43 Pillichshammer, Friedrich 13 Dick, Josef 9 Woźniakowski, Henryk 8 Wasilkowski, Grzegorz W. 7 Leobacher, Gunther 4 Ebert, Adrian 4 Hickernell, Fred J. 4 Irrgeher, Christian 4 Kuo, Frances Y. 4 Larcher, Gerhard 4 Niederreiter, Harald 4 Nuyens, Dirk 3 Faure, Henri 2 Hellekalek, Peter 2 Hofer, Roswitha 2 Osisiogu, Onyekachi 2 Plaskota, Leszek 2 Winterhof, Arne 1 Baldeaux, Jan 1 Buckwar, Evelyn 1 Ding, Yuhan 1 Doerr, Benjamin 1 Gnewuch, Michael 1 Grohs, Philipp 1 Hickernell, J. 1 Hinrichs, Aicke 1 Kunisch, Karl 1 Laimer, Helene 1 Mak, Simon 1 Ramlau, Ronny 1 Scherzer, Otmar 1 Schmid, Wolfgang Ch. 1 Sloan, Ian Hugh 1 Stepaniuk, Tetiana A. 1 Szölgyenyi, Michaela 1 Thonhauser, Stefan 1 Ullrich, Mario 1 Zeng, Xiaoyan
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### Serials

 15 Journal of Complexity 4 Journal of Approximation Theory 4 Mathematics and Computers in Simulation 4 Uniform Distribution Theory 3 Mathematics of Computation 3 Functiones et Approximatio. Commentarii Mathematici 3 Numerical Algorithms 2 Bulletin of the Australian Mathematical Society 2 Journal of Computational and Applied Mathematics 2 Monatshefte für Mathematik 2 Finite Fields and their Applications 2 Monte Carlo Methods and Applications 2 Radon Series on Computational and Applied Mathematics 1 Discrete Mathematics 1 Acta Arithmetica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Numerische Mathematik 1 Acta Mathematica Hungarica 1 Constructive Approximation 1 Mathematica Pannonica 1 Indagationes Mathematicae. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 Integers 1 Scandinavian Actuarial Journal 1 International Journal of Number Theory 1 European Mathematical Society Magazine
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### Fields

 46 Numerical analysis (65-XX) 39 Number theory (11-XX) 16 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

62 Publications have been cited 392 times in 189 Documents Cited by Year
Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces. Zbl 1342.65089
Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2014
Approximation of analytic functions in Korobov spaces. Zbl 1342.41021
Dick, Josef; Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2014
Integration in Hermite spaces of analytic functions. Zbl 1316.65034
Irrgeher, Christian; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich
2015
Tractability of multivariate analytic problems. Zbl 1333.65019
Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2014
Tractability of multivariate approximation defined over Hilbert spaces with exponential weights. Zbl 1342.41022
Irrgeher, Christian; Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2016
Distribution properties of generalized van der Corput-Halton sequences and their subsequences. Zbl 1188.11038
Hofer, Roswitha; Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich
2009
Approximation in Hermite spaces of smooth functions. Zbl 1338.65040
Irrgeher, Christian; Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2016
Very low truncation dimension for high dimensional integration under modest error demand. Zbl 1342.65098
Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W.
2016
From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules. Zbl 1335.11063
Faure, Henri; Kritzer, Peter; Pillichshammer, Friedrich
2015
Improved upper bounds on the star discrepancy of $$(t,m,s)$$-nets and $$(t,s)$$-sequences. Zbl 1155.11336
Kritzer, Peter
2006
A note on equivalence of anchored and ANOVA spaces; lower bounds. Zbl 1355.65027
Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W.
2017
Duality theory and propagation rules for generalized digital nets. Zbl 1219.11115
Dick, Josef; Kritzer, Peter
2010
Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels. Zbl 1131.65108
Dick, Josef; Kritzer, Peter; Kuo, Frances Y.; Sloan, Ian H.
2007
An exact formula for $$L_2$$ discrepancy of the shifted Hammersley point set. Zbl 1147.11041
Kritzer, Peter; Pillichshammer, Friedrich
2006
New star discrepancy bounds for $$(t,m,s)$$-nets and $$(t,s)$$-sequences. Zbl 1287.11092
Faure, Henri; Kritzer, Peter
2013
A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights. Zbl 1300.65004
Dick, Josef; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich
2015
On some remarkable properties of the two-dimensional Hammersley point set in base 2. Zbl 1103.11024
Kritzer, Peter
2006
A thorough analysis of the discrepancy of shifted Hammersley and van der Corput point sets. Zbl 1150.11026
Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich
2007
Component-by-component construction of low-discrepancy point sets of small size. Zbl 1156.11030
Doerr, Benjamin; Gnewuch, Michael; Kritzer, Peter; Pillichshammer, Friedrich
2008
Simple characterizations of exponential tractability for linear multivariate problems. Zbl 1409.41015
Kritzer, Peter; Woźniakowski, Henryk
2019
On hybrid sequences built from Niederreiter-Halton sequences and Kronecker sequences. Zbl 1234.11096
Hofer, Roswitha; Kritzer, Peter
2011
Weighted compound integration rules with higher order convergence for all $$N$$. Zbl 1240.65002
Hickernell, Fred J.; Kritzer, Peter; Kuo, Frances Y.; Nuyens, Dirk
2012
Spline methods using integration lattices and digital nets. Zbl 1184.41009
Zeng, Xiaoyan; Kritzer, Peter; Hickernell, Fred J.
2009
On the existence of higher order polynomial lattices based on a generalized figure of merit. Zbl 1130.65047
Dick, Josef; Kritzer, Peter; Pillichshammer, Friedrich; Schmid, Wolfgang Ch.
2007
$$\mathbb{L}_\infty$$-approximation in Korobov spaces with exponential weights. Zbl 1367.41024
Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2017
On a projection-corrected component-by-component construction. Zbl 1329.65007
Dick, Josef; Kritzer, Peter
2016
A best possible upper bound on the star discrepancy of $$(t,m,2)$$-nets. Zbl 1103.11022
Dick, Josef; Kritzer, Peter
2006
Truncation dimension for linear problems on multivariate function spaces. Zbl 1415.65034
Hinrichs, Aicke; Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W.
2019
Star discrepancy estimates for digital $$(t,m,2)$$-nets and digital $$(t,2)$$-sequences over $$\mathbb Z_2$$. Zbl 1102.11036
Dick, J.; Kritzer, P.
2005
Constructions of general polynomial lattices for multivariate integration. Zbl 1125.65006
Kritzer, Peter; Pillichshammer, Friedrich
2007
Low discrepancy polynomial lattice point sets. Zbl 1256.11042
Kritzer, Peter; Pillichshammer, Friedrich
2012
Approximation of functions using digital nets. Zbl 1153.65314
Dick, Josef; Kritzer, Peter; Kuo, Frances Y.
2008
Uniform distribution and quasi-Monte Carlo methods. Discrepancy, integration and applications. Based on invited talks of the workspop, Linz, Austria, October 14–18, 2013. Zbl 1291.11003
2014
Propagation rules for $$(u, m, \mathbf{e}, s)$$-nets and $$(u, \mathbf{e}, s)$$-sequences. Zbl 1387.11065
Kritzer, Peter; Niederreiter, Harald
2015
Points sets with low $$L_p$$ discrepancy. Zbl 1153.11037
Kritzer, Peter; Pillichshammer, Friedrich
2007
On an example of finite hybrid quasi-Monte Carlo point sets. Zbl 1271.11080
Kritzer, Peter
2012
On the diaphony of some finite hybrid point sets. Zbl 1270.11074
Hellekalek, Peter; Kritzer, Peter
2012
On the existence of low-diaphony sequences made of digital sequences and lattice point sets. Zbl 1288.11075
Kritzer, Peter; Pillichshammer, Friedrich
2013
Truncation dimension for function approximation. Zbl 1405.65021
Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, Grzegorz W.
2018
On the star discrepancy of digital nets and sequences in three dimensions. Zbl 1105.11024
Kritzer, Peter
2006
Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces. Zbl 1353.65002
Hellekalek, Peter; Kritzer, Peter; Pillichshammer, Friedrich
2016
A new upper bound on the star discrepancy of $$0,1$$-sequences. Zbl 1092.11034
Kritzer, Peter
2005
Improvements of the discrepancy of the van der Corput sequence. Zbl 1119.11045
Kritzer, Peter; Pillichshammer, Friedrich
2005
On the approximation of smooth functions using generalized digital nets. Zbl 1182.65024
Baldeaux, Jan; Dick, Josef; Kritzer, Peter
2009
Component-by-component construction of hybrid point sets based on Hammersley and lattice point sets. Zbl 1302.65012
Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich
2013
The weighted dyadic diaphony of digital sequences. Zbl 1228.11118
Kritzer, Peter; Pillichshammer, Friedrich
2008
Constructions of general polynomial lattice rules based on the weighted star discrepancy. Zbl 1132.11039
Dick, Josef; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich
2007
On the component by component construction of polynomial lattice point sets for numerical integration in weighted Sobolev spaces. Zbl 1338.11072
Kritzer, Peter; Pillichshammer, Friedrich
2011
Constructing QMC finite element methods for elliptic PDEs with random coefficients by a reduced CBC construction. Zbl 07240095
Ebert, Adrian; Kritzer, Peter; Nuyens, Dirk
2020
Lattice rules with random $$n$$ achieve nearly the optimal $$\mathcal{O}(n^{-\alpha-1/2})$$ error independently of the dimension. Zbl 07033190
Kritzer, Peter; Kuo, Frances Y.; Nuyens, Dirk; Ullrich, Mario
2019
Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness. Zbl 1481.65044
Ebert, Adrian; Kritzer, Peter; Nuyens, Dirk; Osisiogu, Onyekachi
2021
Tractability of multivariate integration in hybrid function spaces. Zbl 1356.65009
Kritzer, Peter; Pillichshammer, Friedrich
2016
Discrepancy bound for low-dimensional point sets. Zbl 1368.11079
Faure, Henri; Kritzer, Peter
2014
Component-by-component construction of shifted Halton sequences. Zbl 1439.65032
Kritzer, Peter; Pillichshammer, Friedrich
2015
Numerical integration in log-Korobov and log-cosine spaces. Zbl 1339.65008
Dick, Josef; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich
2015
A lower bound on a quantity related to the quality of polynomial lattices. Zbl 1247.11097
Kritzer, Peter; Pillichshammer, Friedrich
2011
Discrepancy estimates for index-transformed uniformly distributed sequences. Zbl 1368.11072
Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich
2014
Exponential tractability of linear tensor product problems. Zbl 07240864
Hickernell, Fred J.; Kritzer, Peter; Woźniakowski, Henryk
2020
Tractability of $$\mathbb{L}_2$$-approximation in hybrid function spaces. Zbl 1396.41014
Kritzer, Peter; Laimer, Helene; Pillichshammer, Friedrich
2018
Approximation methods for piecewise deterministic Markov processes and their costs. Zbl 1411.91294
Kritzer, Peter; Leobacher, Gunther; Szölgyenyi, Michaela; Thonhauser, Stefan
2019
On efficient weighted integration via a change of variables. Zbl 1451.65020
Kritzer, P.; Pillichshammer, F.; Plaskota, L.; Wasilkowski, G. W.
2020
Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals. Zbl 1469.65183
Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2020
Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness. Zbl 1481.65044
Ebert, Adrian; Kritzer, Peter; Nuyens, Dirk; Osisiogu, Onyekachi
2021
Constructing QMC finite element methods for elliptic PDEs with random coefficients by a reduced CBC construction. Zbl 07240095
Ebert, Adrian; Kritzer, Peter; Nuyens, Dirk
2020
Exponential tractability of linear tensor product problems. Zbl 07240864
Hickernell, Fred J.; Kritzer, Peter; Woźniakowski, Henryk
2020
On efficient weighted integration via a change of variables. Zbl 1451.65020
Kritzer, P.; Pillichshammer, F.; Plaskota, L.; Wasilkowski, G. W.
2020
Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals. Zbl 1469.65183
Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2020
Simple characterizations of exponential tractability for linear multivariate problems. Zbl 1409.41015
Kritzer, Peter; Woźniakowski, Henryk
2019
Truncation dimension for linear problems on multivariate function spaces. Zbl 1415.65034
Hinrichs, Aicke; Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W.
2019
Lattice rules with random $$n$$ achieve nearly the optimal $$\mathcal{O}(n^{-\alpha-1/2})$$ error independently of the dimension. Zbl 07033190
Kritzer, Peter; Kuo, Frances Y.; Nuyens, Dirk; Ullrich, Mario
2019
Approximation methods for piecewise deterministic Markov processes and their costs. Zbl 1411.91294
Kritzer, Peter; Leobacher, Gunther; Szölgyenyi, Michaela; Thonhauser, Stefan
2019
Truncation dimension for function approximation. Zbl 1405.65021
Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, Grzegorz W.
2018
Tractability of $$\mathbb{L}_2$$-approximation in hybrid function spaces. Zbl 1396.41014
Kritzer, Peter; Laimer, Helene; Pillichshammer, Friedrich
2018
A note on equivalence of anchored and ANOVA spaces; lower bounds. Zbl 1355.65027
Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W.
2017
$$\mathbb{L}_\infty$$-approximation in Korobov spaces with exponential weights. Zbl 1367.41024
Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2017
Tractability of multivariate approximation defined over Hilbert spaces with exponential weights. Zbl 1342.41022
Irrgeher, Christian; Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2016
Approximation in Hermite spaces of smooth functions. Zbl 1338.65040
Irrgeher, Christian; Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2016
Very low truncation dimension for high dimensional integration under modest error demand. Zbl 1342.65098
Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W.
2016
On a projection-corrected component-by-component construction. Zbl 1329.65007
Dick, Josef; Kritzer, Peter
2016
Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces. Zbl 1353.65002
Hellekalek, Peter; Kritzer, Peter; Pillichshammer, Friedrich
2016
Tractability of multivariate integration in hybrid function spaces. Zbl 1356.65009
Kritzer, Peter; Pillichshammer, Friedrich
2016
Integration in Hermite spaces of analytic functions. Zbl 1316.65034
Irrgeher, Christian; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich
2015
From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules. Zbl 1335.11063
Faure, Henri; Kritzer, Peter; Pillichshammer, Friedrich
2015
A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights. Zbl 1300.65004
Dick, Josef; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich
2015
Propagation rules for $$(u, m, \mathbf{e}, s)$$-nets and $$(u, \mathbf{e}, s)$$-sequences. Zbl 1387.11065
Kritzer, Peter; Niederreiter, Harald
2015
Component-by-component construction of shifted Halton sequences. Zbl 1439.65032
Kritzer, Peter; Pillichshammer, Friedrich
2015
Numerical integration in log-Korobov and log-cosine spaces. Zbl 1339.65008
Dick, Josef; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich
2015
Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces. Zbl 1342.65089
Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2014
Approximation of analytic functions in Korobov spaces. Zbl 1342.41021
Dick, Josef; Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2014
Tractability of multivariate analytic problems. Zbl 1333.65019
Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
2014
Uniform distribution and quasi-Monte Carlo methods. Discrepancy, integration and applications. Based on invited talks of the workspop, Linz, Austria, October 14–18, 2013. Zbl 1291.11003
2014
Discrepancy bound for low-dimensional point sets. Zbl 1368.11079
Faure, Henri; Kritzer, Peter
2014
Discrepancy estimates for index-transformed uniformly distributed sequences. Zbl 1368.11072
Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich
2014
New star discrepancy bounds for $$(t,m,s)$$-nets and $$(t,s)$$-sequences. Zbl 1287.11092
Faure, Henri; Kritzer, Peter
2013
On the existence of low-diaphony sequences made of digital sequences and lattice point sets. Zbl 1288.11075
Kritzer, Peter; Pillichshammer, Friedrich
2013
Component-by-component construction of hybrid point sets based on Hammersley and lattice point sets. Zbl 1302.65012
Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich
2013
Weighted compound integration rules with higher order convergence for all $$N$$. Zbl 1240.65002
Hickernell, Fred J.; Kritzer, Peter; Kuo, Frances Y.; Nuyens, Dirk
2012
Low discrepancy polynomial lattice point sets. Zbl 1256.11042
Kritzer, Peter; Pillichshammer, Friedrich
2012
On an example of finite hybrid quasi-Monte Carlo point sets. Zbl 1271.11080
Kritzer, Peter
2012
On the diaphony of some finite hybrid point sets. Zbl 1270.11074
Hellekalek, Peter; Kritzer, Peter
2012
On hybrid sequences built from Niederreiter-Halton sequences and Kronecker sequences. Zbl 1234.11096
Hofer, Roswitha; Kritzer, Peter
2011
On the component by component construction of polynomial lattice point sets for numerical integration in weighted Sobolev spaces. Zbl 1338.11072
Kritzer, Peter; Pillichshammer, Friedrich
2011
A lower bound on a quantity related to the quality of polynomial lattices. Zbl 1247.11097
Kritzer, Peter; Pillichshammer, Friedrich
2011
Duality theory and propagation rules for generalized digital nets. Zbl 1219.11115
Dick, Josef; Kritzer, Peter
2010
Distribution properties of generalized van der Corput-Halton sequences and their subsequences. Zbl 1188.11038
Hofer, Roswitha; Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich
2009
Spline methods using integration lattices and digital nets. Zbl 1184.41009
Zeng, Xiaoyan; Kritzer, Peter; Hickernell, Fred J.
2009
On the approximation of smooth functions using generalized digital nets. Zbl 1182.65024
Baldeaux, Jan; Dick, Josef; Kritzer, Peter
2009
Component-by-component construction of low-discrepancy point sets of small size. Zbl 1156.11030
Doerr, Benjamin; Gnewuch, Michael; Kritzer, Peter; Pillichshammer, Friedrich
2008
Approximation of functions using digital nets. Zbl 1153.65314
Dick, Josef; Kritzer, Peter; Kuo, Frances Y.
2008
The weighted dyadic diaphony of digital sequences. Zbl 1228.11118
Kritzer, Peter; Pillichshammer, Friedrich
2008
Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels. Zbl 1131.65108
Dick, Josef; Kritzer, Peter; Kuo, Frances Y.; Sloan, Ian H.
2007
A thorough analysis of the discrepancy of shifted Hammersley and van der Corput point sets. Zbl 1150.11026
Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich
2007
On the existence of higher order polynomial lattices based on a generalized figure of merit. Zbl 1130.65047
Dick, Josef; Kritzer, Peter; Pillichshammer, Friedrich; Schmid, Wolfgang Ch.
2007
Constructions of general polynomial lattices for multivariate integration. Zbl 1125.65006
Kritzer, Peter; Pillichshammer, Friedrich
2007
Points sets with low $$L_p$$ discrepancy. Zbl 1153.11037
Kritzer, Peter; Pillichshammer, Friedrich
2007
Constructions of general polynomial lattice rules based on the weighted star discrepancy. Zbl 1132.11039
Dick, Josef; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich
2007
Improved upper bounds on the star discrepancy of $$(t,m,s)$$-nets and $$(t,s)$$-sequences. Zbl 1155.11336
Kritzer, Peter
2006
An exact formula for $$L_2$$ discrepancy of the shifted Hammersley point set. Zbl 1147.11041
Kritzer, Peter; Pillichshammer, Friedrich
2006
On some remarkable properties of the two-dimensional Hammersley point set in base 2. Zbl 1103.11024
Kritzer, Peter
2006
A best possible upper bound on the star discrepancy of $$(t,m,2)$$-nets. Zbl 1103.11022
Dick, Josef; Kritzer, Peter
2006
On the star discrepancy of digital nets and sequences in three dimensions. Zbl 1105.11024
Kritzer, Peter
2006
Star discrepancy estimates for digital $$(t,m,2)$$-nets and digital $$(t,2)$$-sequences over $$\mathbb Z_2$$. Zbl 1102.11036
Dick, J.; Kritzer, P.
2005
A new upper bound on the star discrepancy of $$0,1$$-sequences. Zbl 1092.11034
Kritzer, Peter
2005
Improvements of the discrepancy of the van der Corput sequence. Zbl 1119.11045
Kritzer, Peter; Pillichshammer, Friedrich
2005
all top 5

### Cited by 138 Authors

 44 Kritzer, Peter 44 Pillichshammer, Friedrich 24 Dick, Josef 12 Hofer, Roswitha 12 Woźniakowski, Henryk 11 Gnewuch, Michael 11 Nuyens, Dirk 11 Wasilkowski, Grzegorz W. 10 Xu, Guiqiao 9 Hinrichs, Aicke 9 Kuo, Frances Y. 9 Larcher, Gerhard 8 Faure, Henri 7 Goda, Takashi 6 Liu, Yongping 6 Niederreiter, Harald 6 Sloan, Ian Hugh 5 Baldeaux, Jan 5 Ebert, Adrian 5 Irrgeher, Christian 5 Leobacher, Gunther 5 Suzuki, Kosuke 5 Wang, Heping 4 Hefter, Mario 4 Kritzinger, Ralph 4 Ritter, Klaus 3 Aistleitner, Christoph 3 Lemieux, Christiane 3 Nguyen, Dong T. P. 3 Nobile, Fabio 3 Papageorgiou, Anargyros 3 Petras, Iasonas 3 Schwab, Christoph 3 Ullrich, Tino 3 Werschulz, Arthur G. 3 Yoshiki, Takehito 2 Chen, Jia 2 Cools, Ronald 2 Doerr, Benjamin 2 Ehler, Martin 2 Gantner, Robert Nicholas 2 Gilbert, Alexander D. 2 Gräf, Manuel 2 Hickernell, Fred J. 2 Kühn, Thomas 2 Laimer, Helene 2 Le Gia, Quoc Thong 2 Markhasin, Lev 2 Matsumoto, Makoto 2 Migliorati, Giovanni 2 Oates, Chris J. 2 Oettershagen, Jens 2 Osisiogu, Onyekachi 2 Owen, Art B. 2 Potts, Daniel 2 Thonhauser, Stefan 2 Tichy, Robert Franz 2 Zellinger, Heidrun 1 Aubel, Céline 1 Aubry, Denis 1 Bilyk, Dmitry 1 Bogachev, Vladimir Igorevich 1 Bölcskei, Helmut 1 Brauchart, Johann S. 1 Breger, Anna 1 Burago, Vadim 1 Chimal-Eguía, Juan Carlos 1 Dingess, J. 1 Drmota, Michael 1 Flores-Carapia, Rolando 1 Fougeron, Gabriel 1 Gao, Weiguo 1 Girolami, Mark A. 1 Greslehner, Julia 1 Griebel, Michael 1 Hebbinghaus, Nils 1 Hellekalek, Peter 1 Hofer, Markus 1 Hornfeck, Wolfgang 1 Junghanns, Peter 1 Kaarnioja, Vesa 1 Kaltenböck, Lisa 1 Kämmerer, Lutz 1 Karvonen, Toni 1 Kazashi, Yoshihito 1 Kuang, Ye Chow 1 Kuhn, Philipp 1 Latz, Jonas 1 Lertchoosakul, Poj 1 Levin, Mordekhaĭ Borisovich 1 Lu, Wanting 1 Luna-Benoso, Bejamín 1 Ma, Mengjin 1 Maleknejad, Khosrow 1 Mastroianni, Giuseppe 1 Matoba, Kyle 1 Mayer, Sebastian A. 1 Morrow, Zachary 1 Nair, Radhakrishnan B. 1 Nasdala, Robert ...and 38 more Authors
all top 5

### Cited in 50 Serials

 57 Journal of Complexity 12 Mathematics of Computation 9 Journal of Approximation Theory 8 Numerische Mathematik 6 Monatshefte für Mathematik 4 Journal of Number Theory 4 Constructive Approximation 4 Indagationes Mathematicae. New Series 3 Discrete Mathematics 3 Acta Arithmetica 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Computational and Applied Mathematics 3 Mathematics and Computers in Simulation 3 SIAM Journal on Numerical Analysis 3 Numerical Algorithms 3 Journal de Théorie des Nombres de Bordeaux 3 Finite Fields and their Applications 3 Monte Carlo Methods and Applications 3 Foundations of Computational Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 International Journal of Computer Mathematics 2 SIAM Journal on Scientific Computing 2 Applied and Computational Harmonic Analysis 2 Statistics and Computing 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Theory of Probability and its Applications 1 Annales de l’Institut Fourier 1 BIT 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Journal of Integral Equations and Applications 1 The Annals of Applied Probability 1 Computational Statistics and Data Analysis 1 International Journal of Applied Mathematics and Computer Science 1 Scandinavian Actuarial Journal 1 Acta Mathematica Scientia. Series B. (English Edition) 1 International Journal of Wavelets, Multiresolution and Information Processing 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Electronic Journal of Statistics 1 Science China. Mathematics 1 Acta Crystallographica. Section A 1 Journal of Mathematical Research with Applications 1 European Journal of Mathematics
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### Cited in 25 Fields

 131 Numerical analysis (65-XX) 73 Number theory (11-XX) 59 Approximations and expansions (41-XX) 17 Functional analysis (46-XX) 16 Computer science (68-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 8 Probability theory and stochastic processes (60-XX) 7 Statistics (62-XX) 6 Integral equations (45-XX) 4 Operator theory (47-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)