Edit Profile (opens in new tab) Kritzer, Peter Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1342.65089Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 31 2014 Approximation of analytic functions in Korobov spaces. Zbl 1342.41021Dick, Josef; Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 30 2014 Integration in Hermite spaces of analytic functions. Zbl 1316.65034Irrgeher, Christian; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich 25 2015 Tractability of multivariate analytic problems. Zbl 1333.65019Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 20 2014 Tractability of multivariate approximation defined over Hilbert spaces with exponential weights. Zbl 1342.41022Irrgeher, Christian; Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 20 2016 Distribution properties of generalized van der Corput-Halton sequences and their subsequences. Zbl 1188.11038Hofer, Roswitha; Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich 18 2009 Approximation in Hermite spaces of smooth functions. Zbl 1338.65040Irrgeher, Christian; Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 16 2016 Very low truncation dimension for high dimensional integration under modest error demand. Zbl 1342.65098Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W. 14 2016 From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules. Zbl 1335.11063Faure, Henri; Kritzer, Peter; Pillichshammer, Friedrich 12 2015 Improved upper bounds on the star discrepancy of \((t,m,s)\)-nets and \((t,s)\)-sequences. Zbl 1155.11336Kritzer, Peter 12 2006 A note on equivalence of anchored and ANOVA spaces; lower bounds. Zbl 1355.65027Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W. 9 2017 Duality theory and propagation rules for generalized digital nets. Zbl 1219.11115Dick, Josef; Kritzer, Peter 9 2010 Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels. Zbl 1131.65108Dick, Josef; Kritzer, Peter; Kuo, Frances Y.; Sloan, Ian H. 9 2007 An exact formula for \(L_2\) discrepancy of the shifted Hammersley point set. Zbl 1147.11041Kritzer, Peter; Pillichshammer, Friedrich 8 2006 New star discrepancy bounds for \((t,m,s)\)-nets and \((t,s)\)-sequences. Zbl 1287.11092Faure, Henri; Kritzer, Peter 8 2013 A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights. Zbl 1300.65004Dick, Josef; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich 8 2015 On some remarkable properties of the two-dimensional Hammersley point set in base 2. Zbl 1103.11024Kritzer, Peter 7 2006 A thorough analysis of the discrepancy of shifted Hammersley and van der Corput point sets. Zbl 1150.11026Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich 7 2007 Component-by-component construction of low-discrepancy point sets of small size. Zbl 1156.11030Doerr, Benjamin; Gnewuch, Michael; Kritzer, Peter; Pillichshammer, Friedrich 7 2008 Simple characterizations of exponential tractability for linear multivariate problems. Zbl 1409.41015Kritzer, Peter; Woźniakowski, Henryk 7 2019 On hybrid sequences built from Niederreiter-Halton sequences and Kronecker sequences. Zbl 1234.11096Hofer, Roswitha; Kritzer, Peter 6 2011 Weighted compound integration rules with higher order convergence for all \(N\). Zbl 1240.65002Hickernell, Fred J.; Kritzer, Peter; Kuo, Frances Y.; Nuyens, Dirk 6 2012 Spline methods using integration lattices and digital nets. Zbl 1184.41009Zeng, Xiaoyan; Kritzer, Peter; Hickernell, Fred J. 6 2009 On the existence of higher order polynomial lattices based on a generalized figure of merit. Zbl 1130.65047Dick, Josef; Kritzer, Peter; Pillichshammer, Friedrich; Schmid, Wolfgang Ch. 6 2007 \(\mathbb{L}_\infty\)-approximation in Korobov spaces with exponential weights. Zbl 1367.41024Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 5 2017 On a projection-corrected component-by-component construction. Zbl 1329.65007Dick, Josef; Kritzer, Peter 5 2016 A best possible upper bound on the star discrepancy of \((t,m,2)\)-nets. Zbl 1103.11022Dick, Josef; Kritzer, Peter 5 2006 Truncation dimension for linear problems on multivariate function spaces. Zbl 1415.65034Hinrichs, Aicke; Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W. 5 2019 Star discrepancy estimates for digital \((t,m,2)\)-nets and digital \((t,2)\)-sequences over \(\mathbb Z_2\). Zbl 1102.11036Dick, J.; Kritzer, P. 4 2005 Constructions of general polynomial lattices for multivariate integration. Zbl 1125.65006Kritzer, Peter; Pillichshammer, Friedrich 4 2007 Low discrepancy polynomial lattice point sets. Zbl 1256.11042Kritzer, Peter; Pillichshammer, Friedrich 4 2012 Approximation of functions using digital nets. Zbl 1153.65314Dick, Josef; Kritzer, Peter; Kuo, Frances Y. 4 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 3 2014 Propagation rules for \((u, m, \mathbf{e}, s)\)-nets and \((u, \mathbf{e}, s)\)-sequences. Zbl 1387.11065Kritzer, Peter; Niederreiter, Harald 3 2015 Points sets with low \(L_p\) discrepancy. Zbl 1153.11037Kritzer, Peter; Pillichshammer, Friedrich 3 2007 On an example of finite hybrid quasi-Monte Carlo point sets. Zbl 1271.11080Kritzer, Peter 3 2012 On the diaphony of some finite hybrid point sets. Zbl 1270.11074Hellekalek, Peter; Kritzer, Peter 3 2012 On the existence of low-diaphony sequences made of digital sequences and lattice point sets. Zbl 1288.11075Kritzer, Peter; Pillichshammer, Friedrich 3 2013 Truncation dimension for function approximation. Zbl 1405.65021Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, Grzegorz W. 3 2018 On the star discrepancy of digital nets and sequences in three dimensions. Zbl 1105.11024Kritzer, Peter 2 2006 Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces. Zbl 1353.65002Hellekalek, Peter; Kritzer, Peter; Pillichshammer, Friedrich 2 2016 A new upper bound on the star discrepancy of \(0,1\)-sequences. Zbl 1092.11034Kritzer, Peter 2 2005 Improvements of the discrepancy of the van der Corput sequence. Zbl 1119.11045Kritzer, Peter; Pillichshammer, Friedrich 2 2005 On the approximation of smooth functions using generalized digital nets. Zbl 1182.65024Baldeaux, Jan; Dick, Josef; Kritzer, Peter 2 2009 Component-by-component construction of hybrid point sets based on Hammersley and lattice point sets. Zbl 1302.65012Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich 2 2013 The weighted dyadic diaphony of digital sequences. Zbl 1228.11118Kritzer, Peter; Pillichshammer, Friedrich 2 2008 Constructions of general polynomial lattice rules based on the weighted star discrepancy. Zbl 1132.11039Dick, Josef; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich 2 2007 On the component by component construction of polynomial lattice point sets for numerical integration in weighted Sobolev spaces. Zbl 1338.11072Kritzer, Peter; Pillichshammer, Friedrich 2 2011 Constructing QMC finite element methods for elliptic PDEs with random coefficients by a reduced CBC construction. Zbl 07240095Ebert, Adrian; Kritzer, Peter; Nuyens, Dirk 2 2020 Lattice rules with random \(n\) achieve nearly the optimal \(\mathcal{O}(n^{-\alpha-1/2})\) error independently of the dimension. Zbl 07033190Kritzer, Peter; Kuo, Frances Y.; Nuyens, Dirk; Ullrich, Mario 2 2019 Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness. Zbl 1481.65044Ebert, Adrian; Kritzer, Peter; Nuyens, Dirk; Osisiogu, Onyekachi 1 2021 Tractability of multivariate integration in hybrid function spaces. Zbl 1356.65009Kritzer, Peter; Pillichshammer, Friedrich 1 2016 Discrepancy bound for low-dimensional point sets. Zbl 1368.11079Faure, Henri; Kritzer, Peter 1 2014 Component-by-component construction of shifted Halton sequences. Zbl 1439.65032Kritzer, Peter; Pillichshammer, Friedrich 1 2015 Numerical integration in log-Korobov and log-cosine spaces. Zbl 1339.65008Dick, Josef; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich 1 2015 A lower bound on a quantity related to the quality of polynomial lattices. Zbl 1247.11097Kritzer, Peter; Pillichshammer, Friedrich 1 2011 Discrepancy estimates for index-transformed uniformly distributed sequences. Zbl 1368.11072Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich 1 2014 Exponential tractability of linear tensor product problems. Zbl 07240864Hickernell, Fred J.; Kritzer, Peter; Woźniakowski, Henryk 1 2020 Tractability of \(\mathbb{L}_2\)-approximation in hybrid function spaces. Zbl 1396.41014Kritzer, Peter; Laimer, Helene; Pillichshammer, Friedrich 1 2018 Approximation methods for piecewise deterministic Markov processes and their costs. Zbl 1411.91294Kritzer, Peter; Leobacher, Gunther; Szölgyenyi, Michaela; Thonhauser, Stefan 1 2019 On efficient weighted integration via a change of variables. Zbl 1451.65020Kritzer, P.; Pillichshammer, F.; Plaskota, L.; Wasilkowski, G. W. 1 2020 Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals. Zbl 1469.65183Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 1 2020 Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness. Zbl 1481.65044Ebert, Adrian; Kritzer, Peter; Nuyens, Dirk; Osisiogu, Onyekachi 1 2021 Constructing QMC finite element methods for elliptic PDEs with random coefficients by a reduced CBC construction. Zbl 07240095Ebert, Adrian; Kritzer, Peter; Nuyens, Dirk 2 2020 Exponential tractability of linear tensor product problems. Zbl 07240864Hickernell, Fred J.; Kritzer, Peter; Woźniakowski, Henryk 1 2020 On efficient weighted integration via a change of variables. Zbl 1451.65020Kritzer, P.; Pillichshammer, F.; Plaskota, L.; Wasilkowski, G. W. 1 2020 Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals. Zbl 1469.65183Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 1 2020 Simple characterizations of exponential tractability for linear multivariate problems. Zbl 1409.41015Kritzer, Peter; Woźniakowski, Henryk 7 2019 Truncation dimension for linear problems on multivariate function spaces. Zbl 1415.65034Hinrichs, Aicke; Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W. 5 2019 Lattice rules with random \(n\) achieve nearly the optimal \(\mathcal{O}(n^{-\alpha-1/2})\) error independently of the dimension. Zbl 07033190Kritzer, Peter; Kuo, Frances Y.; Nuyens, Dirk; Ullrich, Mario 2 2019 Approximation methods for piecewise deterministic Markov processes and their costs. Zbl 1411.91294Kritzer, Peter; Leobacher, Gunther; Szölgyenyi, Michaela; Thonhauser, Stefan 1 2019 Truncation dimension for function approximation. Zbl 1405.65021Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, Grzegorz W. 3 2018 Tractability of \(\mathbb{L}_2\)-approximation in hybrid function spaces. Zbl 1396.41014Kritzer, Peter; Laimer, Helene; Pillichshammer, Friedrich 1 2018 A note on equivalence of anchored and ANOVA spaces; lower bounds. Zbl 1355.65027Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W. 9 2017 \(\mathbb{L}_\infty\)-approximation in Korobov spaces with exponential weights. Zbl 1367.41024Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 5 2017 Tractability of multivariate approximation defined over Hilbert spaces with exponential weights. Zbl 1342.41022Irrgeher, Christian; Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 20 2016 Approximation in Hermite spaces of smooth functions. Zbl 1338.65040Irrgeher, Christian; Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 16 2016 Very low truncation dimension for high dimensional integration under modest error demand. Zbl 1342.65098Kritzer, Peter; Pillichshammer, Friedrich; Wasilkowski, G. W. 14 2016 On a projection-corrected component-by-component construction. Zbl 1329.65007Dick, Josef; Kritzer, Peter 5 2016 Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces. Zbl 1353.65002Hellekalek, Peter; Kritzer, Peter; Pillichshammer, Friedrich 2 2016 Tractability of multivariate integration in hybrid function spaces. Zbl 1356.65009Kritzer, Peter; Pillichshammer, Friedrich 1 2016 Integration in Hermite spaces of analytic functions. Zbl 1316.65034Irrgeher, Christian; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich 25 2015 From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules. Zbl 1335.11063Faure, Henri; Kritzer, Peter; Pillichshammer, Friedrich 12 2015 A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights. Zbl 1300.65004Dick, Josef; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich 8 2015 Propagation rules for \((u, m, \mathbf{e}, s)\)-nets and \((u, \mathbf{e}, s)\)-sequences. Zbl 1387.11065Kritzer, Peter; Niederreiter, Harald 3 2015 Component-by-component construction of shifted Halton sequences. Zbl 1439.65032Kritzer, Peter; Pillichshammer, Friedrich 1 2015 Numerical integration in log-Korobov and log-cosine spaces. Zbl 1339.65008Dick, Josef; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich 1 2015 Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces. Zbl 1342.65089Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 31 2014 Approximation of analytic functions in Korobov spaces. Zbl 1342.41021Dick, Josef; Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 30 2014 Tractability of multivariate analytic problems. Zbl 1333.65019Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk 20 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 3 2014 Discrepancy bound for low-dimensional point sets. Zbl 1368.11079Faure, Henri; Kritzer, Peter 1 2014 Discrepancy estimates for index-transformed uniformly distributed sequences. Zbl 1368.11072Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich 1 2014 New star discrepancy bounds for \((t,m,s)\)-nets and \((t,s)\)-sequences. Zbl 1287.11092Faure, Henri; Kritzer, Peter 8 2013 On the existence of low-diaphony sequences made of digital sequences and lattice point sets. Zbl 1288.11075Kritzer, Peter; Pillichshammer, Friedrich 3 2013 Component-by-component construction of hybrid point sets based on Hammersley and lattice point sets. Zbl 1302.65012Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich 2 2013 Weighted compound integration rules with higher order convergence for all \(N\). Zbl 1240.65002Hickernell, Fred J.; Kritzer, Peter; Kuo, Frances Y.; Nuyens, Dirk 6 2012 Low discrepancy polynomial lattice point sets. Zbl 1256.11042Kritzer, Peter; Pillichshammer, Friedrich 4 2012 On an example of finite hybrid quasi-Monte Carlo point sets. Zbl 1271.11080Kritzer, Peter 3 2012 On the diaphony of some finite hybrid point sets. Zbl 1270.11074Hellekalek, Peter; Kritzer, Peter 3 2012 On hybrid sequences built from Niederreiter-Halton sequences and Kronecker sequences. Zbl 1234.11096Hofer, Roswitha; Kritzer, Peter 6 2011 On the component by component construction of polynomial lattice point sets for numerical integration in weighted Sobolev spaces. Zbl 1338.11072Kritzer, Peter; Pillichshammer, Friedrich 2 2011 A lower bound on a quantity related to the quality of polynomial lattices. Zbl 1247.11097Kritzer, Peter; Pillichshammer, Friedrich 1 2011 Duality theory and propagation rules for generalized digital nets. Zbl 1219.11115Dick, Josef; Kritzer, Peter 9 2010 Distribution properties of generalized van der Corput-Halton sequences and their subsequences. Zbl 1188.11038Hofer, Roswitha; Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich 18 2009 Spline methods using integration lattices and digital nets. Zbl 1184.41009Zeng, Xiaoyan; Kritzer, Peter; Hickernell, Fred J. 6 2009 On the approximation of smooth functions using generalized digital nets. Zbl 1182.65024Baldeaux, Jan; Dick, Josef; Kritzer, Peter 2 2009 Component-by-component construction of low-discrepancy point sets of small size. Zbl 1156.11030Doerr, Benjamin; Gnewuch, Michael; Kritzer, Peter; Pillichshammer, Friedrich 7 2008 Approximation of functions using digital nets. Zbl 1153.65314Dick, Josef; Kritzer, Peter; Kuo, Frances Y. 4 2008 The weighted dyadic diaphony of digital sequences. Zbl 1228.11118Kritzer, Peter; Pillichshammer, Friedrich 2 2008 Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels. Zbl 1131.65108Dick, Josef; Kritzer, Peter; Kuo, Frances Y.; Sloan, Ian H. 9 2007 A thorough analysis of the discrepancy of shifted Hammersley and van der Corput point sets. Zbl 1150.11026Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich 7 2007 On the existence of higher order polynomial lattices based on a generalized figure of merit. Zbl 1130.65047Dick, Josef; Kritzer, Peter; Pillichshammer, Friedrich; Schmid, Wolfgang Ch. 6 2007 Constructions of general polynomial lattices for multivariate integration. Zbl 1125.65006Kritzer, Peter; Pillichshammer, Friedrich 4 2007 Points sets with low \(L_p\) discrepancy. Zbl 1153.11037Kritzer, Peter; Pillichshammer, Friedrich 3 2007 Constructions of general polynomial lattice rules based on the weighted star discrepancy. Zbl 1132.11039Dick, Josef; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich 2 2007 Improved upper bounds on the star discrepancy of \((t,m,s)\)-nets and \((t,s)\)-sequences. Zbl 1155.11336Kritzer, Peter 12 2006 An exact formula for \(L_2\) discrepancy of the shifted Hammersley point set. Zbl 1147.11041Kritzer, Peter; Pillichshammer, Friedrich 8 2006 On some remarkable properties of the two-dimensional Hammersley point set in base 2. Zbl 1103.11024Kritzer, Peter 7 2006 A best possible upper bound on the star discrepancy of \((t,m,2)\)-nets. Zbl 1103.11022Dick, Josef; Kritzer, Peter 5 2006 On the star discrepancy of digital nets and sequences in three dimensions. Zbl 1105.11024Kritzer, Peter 2 2006 Star discrepancy estimates for digital \((t,m,2)\)-nets and digital \((t,2)\)-sequences over \(\mathbb Z_2\). Zbl 1102.11036Dick, J.; Kritzer, P. 4 2005 A new upper bound on the star discrepancy of \(0,1\)-sequences. Zbl 1092.11034Kritzer, Peter 2 2005 Improvements of the discrepancy of the van der Corput sequence. Zbl 1119.11045Kritzer, Peter; Pillichshammer, Friedrich 2 2005 all cited Publications top 5 cited Publications 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 all top 5 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) Citations by Year