Edit Profile (opens in new tab) Goaoc, Xavier Co-Author Distance Author ID: goaoc.xavier Published as: Goaoc, Xavier; Goaoc, X. Documents Indexed: 51 Publications since 2003 3 Contributions as Editor Reviewing Activity: 4 Reviews Co-Authors: 54 Co-Authors with 52 Joint Publications 1,761 Co-Co-Authors all top 5 Co-Authors 1 single-authored 12 Cheong, Otfried 10 Devillers, Olivier 8 Glisse, Marc 8 Paták, Pavel 8 Patáková, Zuzana 8 Petitjean, Sylvain 8 Tancer, Martin 7 Holmsen, Andreas F. 6 Na, Hyeon-Suk 6 Wagner, Uli 5 Lazard, Sylvain 4 Borcea, Ciprian S. 4 Rote, Günter 3 Aronov, Boris 3 Dujmović, Vida 3 Everett, Hazel 3 Hubard, Alfredo 3 Nicaud, Cyril 2 Bárány, Imre 2 Brönnimann, Hervé 2 Bukh, Boris 2 Colin de Verdière, Éric 2 Demouth, Julien 2 Dobbins, Michael Gene 2 Ginot, Grégory 2 Kratochvíl, Jan 2 Mabillard, Isaac 2 Matoušek, Jiří 2 Okamoto, Yoshio 2 Shin, Chan-Su 2 Thomasse, Rémy 2 Whitesides, Sue H. 2 Wolff, Alexander 1 Adiprasito, Karim Alexander 1 Batog, Guillaume 1 Cortier, Véronique 1 De Loera, Jesús A. 1 De Verclos, Rémi De Joannis 1 Erickson, Jeff 1 Fradelizi, Matthieu 1 Ha, Jae-Soon 1 Kim, Hyo-Sil 1 König, Stefan 1 Lee, Mira 1 Meunier, Frédéric 1 Moroz, Guillaume 1 Mustafa, Nabil Hassan 1 Reitzner, Matthias 1 Sereni, Jean-Sébastien 1 Spillner, Andreas 1 Trager, Matthew 1 Volec, Jan 1 Welzl, Emo 1 Yang, Jungwoo all top 5 Serials 8 Discrete & Computational Geometry 3 SIAM Journal on Computing 2 Israel Journal of Mathematics 2 Computational Geometry 2 Oberwolfach Reports 2 Journal of Computational Geometry 1 Discrete Mathematics 1 Advances in Mathematics 1 European Journal of Combinatorics 1 SIAM Journal on Discrete Mathematics 1 International Journal of Computational Geometry & Applications 1 Bulletin of the American Mathematical Society. New Series 1 Combinatorics, Probability and Computing 1 Electronic Communications in Probability 1 Journal of the ACM 1 LIPIcs – Leibniz International Proceedings in Informatics 1 Annales Henri Lebesgue all top 5 Fields 38 Convex and discrete geometry (52-XX) 23 Computer science (68-XX) 15 Combinatorics (05-XX) 5 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 3 Probability theory and stochastic processes (60-XX) 2 Differential geometry (53-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 174 times in 123 Documents Cited by ▼ Year ▼ The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg. Zbl 1460.52010De Loera, Jesús A.; Goaoc, Xavier; Meunier, Frédéric; Mustafa, Nabil H. 29 2019 Untangling a planar graph. Zbl 1188.05092Goaoc, Xavier; Kratochvíl, Jan; Okamoto, Yoshio; Shin, Chan-Su; Spillner, Andreas; Wolff, Alexander 13 2009 Helly-type theorems for line transversals to disjoint unit balls. Zbl 1143.52006Cheong, Otfried; Goaoc, Xavier; Holmsen, Andreas; Petitjean, Sylvain 12 2008 Geometric permutations of disjoint unit spheres. Zbl 1076.52002Cheong, Otfried; Goaoc, Xavier; Na, Hyeon-Suk 8 2005 Line transversals to disjoint balls. Zbl 1184.52006Borcea, Ciprian; Goaoc, Xavier; Petitjean, Sylvain 8 2008 Helly numbers of acyclic families. Zbl 1301.52019Colin de Verdière, Éric; Ginot, Grégory; Goaoc, Xavier 8 2014 Common tangents to spheres in \(\mathbb R^{3}\). Zbl 1090.53005Borcea, Ciprian; Goaoc, Xavier; Lazard, Sylvain; Petitjean, Sylvain 7 2006 Bounding Helly numbers via Betti numbers. Zbl 1390.52012Goaoc, Xavier; Paták, Pavel; Patáková, Zuzana; Tancer, Martin; Wagner, Uli 6 2017 Limits of order types. Zbl 1382.52022Goaoc, Xavier; Hubard, Alfredo; de Joannis de Verclos, Rémi; Sereni, Jean-Sébastien; Volec, Jan 6 2015 Multinerves and Helly numbers of acyclic families. Zbl 1293.68286Colin de Verdière, Éric; Ginot, Grégory; Goaoc, Xavier 6 2012 The monotonicity of \(f\)-vectors of random polytopes. Zbl 1359.60024Devillers, Olivier; Glisse, Marc; Goaoc, Xavier; Moroz, Guillaume; Reitzner, Matthias 6 2013 Lines and free line segments tangent to arbitrary three-dimensional convex polyhedra. Zbl 1138.65019Brönnimann, Hervé; Devillers, Olivier; Dujmović, Vida; Everett, Hazel; Glisse, Marc; Goaoc, Xavier; Lazard, Sylvain; Na, Hyeon-Suk; Whitesides, Sue 5 2007 Shellability is NP-complete. Zbl 1473.68198Goaoc, Xavier; Paták, Pavel; Patáková, Zuzana; Tancer, Martin; Wagner, Uli 4 2019 Lower bounds to Helly numbers of line transversals to disjoint congruent balls. Zbl 1255.52009Cheong, Otfried; Goaoc, Xavier; Holmsen, Andreas 4 2012 Bounded-curvature shortest paths through a sequence of points using convex optimization. Zbl 1271.68234Goaoc, Xavier; Kim, Hyo-Sil; Lazard, Sylvain 4 2013 Shellability is NP-complete. Zbl 1489.68331Goaoc, Xavier; Paták, Pavel; Patáková, Zuzana; Tancer, Martin; Wagner, Uli 4 2018 Moving vertices to make drawings plane. Zbl 1137.68490Goaoc, Xavier; Kratochvíl, Jan; Okamoto, Yoshio; Shin, Chan-Su; Wolff, Alexander 4 2008 Bounding Helly numbers via Betti numbers. Zbl 1387.52011Goaoc, Xavier; Paták, Pavel; Patáková, Zuzana; Tancer, Martin; Wagner, Uli 3 2015 The expected number of 3D visibility events is linear. Zbl 1041.68107Devillers, Olivier; Dujmovic, Vida; Everett, Hazel; Goaoc, Xavier; Lazard, Sylvain; Na, Hyeon-Suk; Petitjean, Sylvain 3 2003 Smoothed complexity of convex hulls by witnesses and collectors. Zbl 1405.68410Devillers, Olivier; Glisse, Marc; Goaoc, Xavier; Thomasse, Rémy 3 2016 Lines pinning lines. Zbl 1215.52002Aronov, Boris; Cheong, Otfried; Goaoc, Xavier; Rote, Günter 3 2011 Some discrete properties of the space of line transversals to disjoint balls. Zbl 1208.52006Goaoc, Xavier 3 2010 Shatter functions with polynomial growth rates. Zbl 1419.05209Bukh, Boris; Goaoc, Xavier 2 2019 Set systems and families of permutations with small traces. Zbl 1254.05005Cheong, Otfried; Goaoc, Xavier; Nicaud, Cyril 2 2013 Simplifying inclusion-exclusion formulas. Zbl 1371.05024Goaoc, Xavier; Matoušek, Jiří; Paták, Pavel; Safernová, Zuzana; Tancer, Martin 2 2015 On generalized Heawood inequalities for manifolds: a van Kampen-Flores-type nonembeddability result. Zbl 1380.57028Goaoc, Xavier; Mabillard, Isaac; Paták, Pavel; Patáková, Zuzana; Tancer, Martin; Wagner, Uli 2 2015 Hadwiger and Helly-type theorems for disjoint unit spheres in \(\mathbb{R}^3\). Zbl 1387.52010Cheong, Otfried; Goaoc, Xavier; Holmsen, Andreas 2 2005 Disjoint unit spheres admit at most two line transversals. Zbl 1266.68188Cheong, Otfried; Goaoc, Xavier; Na, Hyeon-Suk 2 2003 Empty-ellipse graphs. Zbl 1192.52020Devillers, Olivier; Erickson, Jeff; Goaoc, Xavier 1 2008 Helly-type theorems for approximate covering. Zbl 1178.52004Demouth, Julien; Devillers, Olivier; Glisse, Marc; Goaoc, Xavier 1 2009 Inflating balls is NP-hard. Zbl 1242.68352Batog, Guillaume; Goaoc, Xavier 1 2011 The number of lines tangent to arbitrary convex polyhedra in 3D. Zbl 1374.68645Brönnimann, H.; Devillers, O.; Dujmović, V.; Everett, H.; Glisse, M.; Goaoc, X.; Lazard, S.; Na, H.-S.; Whitesides, S. 1 2004 On the smoothed complexity of convex hulls. Zbl 1378.68170Devillers, Olivier; Glisse, Marc; Goaoc, Xavier; Thomasse, Rémy 1 2015 The number of holes in the union of translates of a convex set in three dimensions. Zbl 1387.52004Aronov, Boris; Cheong, Otfried; Dobbins, Michael Gene; Goaoc, Xavier 1 2016 Complexity analysis of random geometric structures made simpler. Zbl 1305.68102Devillers, Olivier; Glisse, Marc; Goaoc, Xavier 1 2013 A note on maximally repeated sub-patterns of a point set. Zbl 1097.68120Cortier, Véronique; Goaoc, Xavier; Lee, Mira; Na, Hyeon-Suk 1 2006 Line transversals to disjoint balls. Zbl 1221.52013Borcea, Ciprian; Goaoc, Xavier; Petitjean, Sylvain 1 2007 Helly-type theorems for approximate covering. Zbl 1221.52014Demouth, Julien; Devillers, Olivier; Glisse, Marc; Goaoc, Xavier 1 2008 On generalized Heawood inequalities for manifolds: a van Kampen-Flores-type nonembeddability result. Zbl 1390.57012Goaoc, Xavier; Mabillard, Isaac; Paták, Pavel; Patáková, Zuzana; Tancer, Martin; Wagner, Uli 1 2017 Geometric permutations of non-overlapping unit balls revisited. Zbl 1337.51006Ha, Jae-Soon; Cheong, Otfried; Goaoc, Xavier; Yang, Jungwoo 1 2016 Random polytopes and the wet part for arbitrary probability distributions. (Polytopes aléatoires et partiesimmergées de mesures deprobabilités arbitraires.) Zbl 1454.52006Bárány, Imre; Fradelizi, Matthieu; Goaoc, Xavier; Hubard, Alfredo; Rote, Günter 1 2020 Random polytopes and the wet part for arbitrary probability distributions. (Polytopes aléatoires et partiesimmergées de mesures deprobabilités arbitraires.) Zbl 1454.52006Bárány, Imre; Fradelizi, Matthieu; Goaoc, Xavier; Hubard, Alfredo; Rote, Günter 1 2020 The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg. Zbl 1460.52010De Loera, Jesús A.; Goaoc, Xavier; Meunier, Frédéric; Mustafa, Nabil H. 29 2019 Shellability is NP-complete. Zbl 1473.68198Goaoc, Xavier; Paták, Pavel; Patáková, Zuzana; Tancer, Martin; Wagner, Uli 4 2019 Shatter functions with polynomial growth rates. Zbl 1419.05209Bukh, Boris; Goaoc, Xavier 2 2019 Shellability is NP-complete. Zbl 1489.68331Goaoc, Xavier; Paták, Pavel; Patáková, Zuzana; Tancer, Martin; Wagner, Uli 4 2018 Bounding Helly numbers via Betti numbers. Zbl 1390.52012Goaoc, Xavier; Paták, Pavel; Patáková, Zuzana; Tancer, Martin; Wagner, Uli 6 2017 On generalized Heawood inequalities for manifolds: a van Kampen-Flores-type nonembeddability result. Zbl 1390.57012Goaoc, Xavier; Mabillard, Isaac; Paták, Pavel; Patáková, Zuzana; Tancer, Martin; Wagner, Uli 1 2017 Smoothed complexity of convex hulls by witnesses and collectors. Zbl 1405.68410Devillers, Olivier; Glisse, Marc; Goaoc, Xavier; Thomasse, Rémy 3 2016 The number of holes in the union of translates of a convex set in three dimensions. Zbl 1387.52004Aronov, Boris; Cheong, Otfried; Dobbins, Michael Gene; Goaoc, Xavier 1 2016 Geometric permutations of non-overlapping unit balls revisited. Zbl 1337.51006Ha, Jae-Soon; Cheong, Otfried; Goaoc, Xavier; Yang, Jungwoo 1 2016 Limits of order types. Zbl 1382.52022Goaoc, Xavier; Hubard, Alfredo; de Joannis de Verclos, Rémi; Sereni, Jean-Sébastien; Volec, Jan 6 2015 Bounding Helly numbers via Betti numbers. Zbl 1387.52011Goaoc, Xavier; Paták, Pavel; Patáková, Zuzana; Tancer, Martin; Wagner, Uli 3 2015 Simplifying inclusion-exclusion formulas. Zbl 1371.05024Goaoc, Xavier; Matoušek, Jiří; Paták, Pavel; Safernová, Zuzana; Tancer, Martin 2 2015 On generalized Heawood inequalities for manifolds: a van Kampen-Flores-type nonembeddability result. Zbl 1380.57028Goaoc, Xavier; Mabillard, Isaac; Paták, Pavel; Patáková, Zuzana; Tancer, Martin; Wagner, Uli 2 2015 On the smoothed complexity of convex hulls. Zbl 1378.68170Devillers, Olivier; Glisse, Marc; Goaoc, Xavier; Thomasse, Rémy 1 2015 Helly numbers of acyclic families. Zbl 1301.52019Colin de Verdière, Éric; Ginot, Grégory; Goaoc, Xavier 8 2014 The monotonicity of \(f\)-vectors of random polytopes. Zbl 1359.60024Devillers, Olivier; Glisse, Marc; Goaoc, Xavier; Moroz, Guillaume; Reitzner, Matthias 6 2013 Bounded-curvature shortest paths through a sequence of points using convex optimization. Zbl 1271.68234Goaoc, Xavier; Kim, Hyo-Sil; Lazard, Sylvain 4 2013 Set systems and families of permutations with small traces. Zbl 1254.05005Cheong, Otfried; Goaoc, Xavier; Nicaud, Cyril 2 2013 Complexity analysis of random geometric structures made simpler. Zbl 1305.68102Devillers, Olivier; Glisse, Marc; Goaoc, Xavier 1 2013 Multinerves and Helly numbers of acyclic families. Zbl 1293.68286Colin de Verdière, Éric; Ginot, Grégory; Goaoc, Xavier 6 2012 Lower bounds to Helly numbers of line transversals to disjoint congruent balls. Zbl 1255.52009Cheong, Otfried; Goaoc, Xavier; Holmsen, Andreas 4 2012 Lines pinning lines. Zbl 1215.52002Aronov, Boris; Cheong, Otfried; Goaoc, Xavier; Rote, Günter 3 2011 Inflating balls is NP-hard. Zbl 1242.68352Batog, Guillaume; Goaoc, Xavier 1 2011 Some discrete properties of the space of line transversals to disjoint balls. Zbl 1208.52006Goaoc, Xavier 3 2010 Untangling a planar graph. Zbl 1188.05092Goaoc, Xavier; Kratochvíl, Jan; Okamoto, Yoshio; Shin, Chan-Su; Spillner, Andreas; Wolff, Alexander 13 2009 Helly-type theorems for approximate covering. Zbl 1178.52004Demouth, Julien; Devillers, Olivier; Glisse, Marc; Goaoc, Xavier 1 2009 Helly-type theorems for line transversals to disjoint unit balls. Zbl 1143.52006Cheong, Otfried; Goaoc, Xavier; Holmsen, Andreas; Petitjean, Sylvain 12 2008 Line transversals to disjoint balls. Zbl 1184.52006Borcea, Ciprian; Goaoc, Xavier; Petitjean, Sylvain 8 2008 Moving vertices to make drawings plane. Zbl 1137.68490Goaoc, Xavier; Kratochvíl, Jan; Okamoto, Yoshio; Shin, Chan-Su; Wolff, Alexander 4 2008 Empty-ellipse graphs. Zbl 1192.52020Devillers, Olivier; Erickson, Jeff; Goaoc, Xavier 1 2008 Helly-type theorems for approximate covering. Zbl 1221.52014Demouth, Julien; Devillers, Olivier; Glisse, Marc; Goaoc, Xavier 1 2008 Lines and free line segments tangent to arbitrary three-dimensional convex polyhedra. Zbl 1138.65019Brönnimann, Hervé; Devillers, Olivier; Dujmović, Vida; Everett, Hazel; Glisse, Marc; Goaoc, Xavier; Lazard, Sylvain; Na, Hyeon-Suk; Whitesides, Sue 5 2007 Line transversals to disjoint balls. Zbl 1221.52013Borcea, Ciprian; Goaoc, Xavier; Petitjean, Sylvain 1 2007 Common tangents to spheres in \(\mathbb R^{3}\). Zbl 1090.53005Borcea, Ciprian; Goaoc, Xavier; Lazard, Sylvain; Petitjean, Sylvain 7 2006 A note on maximally repeated sub-patterns of a point set. Zbl 1097.68120Cortier, Véronique; Goaoc, Xavier; Lee, Mira; Na, Hyeon-Suk 1 2006 Geometric permutations of disjoint unit spheres. Zbl 1076.52002Cheong, Otfried; Goaoc, Xavier; Na, Hyeon-Suk 8 2005 Hadwiger and Helly-type theorems for disjoint unit spheres in \(\mathbb{R}^3\). Zbl 1387.52010Cheong, Otfried; Goaoc, Xavier; Holmsen, Andreas 2 2005 The number of lines tangent to arbitrary convex polyhedra in 3D. Zbl 1374.68645Brönnimann, H.; Devillers, O.; Dujmović, V.; Everett, H.; Glisse, M.; Goaoc, X.; Lazard, S.; Na, H.-S.; Whitesides, S. 1 2004 The expected number of 3D visibility events is linear. Zbl 1041.68107Devillers, Olivier; Dujmovic, Vida; Everett, Hazel; Goaoc, Xavier; Lazard, Sylvain; Na, Hyeon-Suk; Petitjean, Sylvain 3 2003 Disjoint unit spheres admit at most two line transversals. Zbl 1266.68188Cheong, Otfried; Goaoc, Xavier; Na, Hyeon-Suk 2 2003 all cited Publications top 5 cited Publications all top 5 Cited by 242 Authors 19 Goaoc, Xavier 9 Holmsen, Andreas F. 8 Cheong, Otfried 6 Lazard, Sylvain 6 Soberón, Pablo 5 Mchedlidze, Tamara 5 Tancer, Martin 4 De Loera, Jesús A. 4 Dujmović, Vida 4 Everett, Hazel 4 Lidický, Bernard 4 Meunier, Frédéric 4 Petitjean, Sylvain 3 Bárány, Imre 3 Kalai, Gil 3 Morin, Pat 3 Naszódi, Márton 3 Nöllenburg, Martin 3 Patáková, Zuzana 3 Rote, Günter 3 Thäle, Christoph 3 Verbitsky, Oleg 3 Zhang, Linqiao 2 Aronov, Boris 2 Bekos, Michael A. 2 Bereg, Sergey N. 2 Bergold, Helena 2 Calka, Pierre 2 Chen, Zheng 2 De Luca, Felice 2 Didimo, Walter 2 Felsner, Stefan 2 Frati, Fabrizio 2 Glisse, Marc 2 Haghpanah, Mohammadreza 2 Hogan, Thomas A. 2 Kabluchko, Zakhar A. 2 Král’, Daniel 2 Langerman, Stefan 2 Lee, Seunghun 2 Mustafa, Nabil Hassan 2 Paták, Pavel 2 Pfender, Florian 2 Ravsky, Alex 2 Sarkar, Sherry 2 Scheucher, Manfred 2 Schröder, Felix 2 Sharir, Micha 2 Shima, Tal 2 Skotnica, Michael 2 Steiner, Raphael 2 Symvonis, Antonios 2 Tollis, Ioannis G. 2 Wagner, Uli 1 Ábrego, Bernardo Manuel 1 Adamaszek, Michal 1 Adams, Henry 1 Alon, Noga 1 Amenta, Nina 1 Arya, Sunil 1 Balan, Radu V. 1 Balogh, József 1 Basu, Saugata 1 Batog, Guillaume 1 Bento, Glaydston de Carvalho 1 Bergman, George M. 1 Bhore, Sujoy Kumar 1 Bigdeli, Mina 1 Bisztriczky, Tibor 1 Bobrowski, Omer 1 Bonnet, Gilles 1 Borcea, Ciprian S. 1 Bose, Prosenjit K. 1 Brown, Adam 1 Bukh, Boris 1 Burchard, Paul 1 Çağırıcı, Onur 1 Cano, Javier 1 Cardinal, Jean 1 Carrière, Mathieu 1 Cheng, Li-Tien 1 Choi, Ilkyoo 1 Choudhary, Aruni 1 Cibulka, Josef 1 Colin de Verdière, Éric 1 Collette, Sébastien 1 Conlon, David 1 Curto, Carina Pamela 1 da Cruz Neto, João Xavier 1 da Fonseca, Guilherme Dias 1 Da Lozzo, Giordano 1 Dadush, Daniel 1 Damásdi, Gábor 1 De Zeeuw, Frank 1 Demouth, Julien 1 Devillers, Olivier 1 Di Giacomo, Emilio 1 Díaz, Josep 1 Dobbins, Michael Gene 1 Dochviri, Irakli J. ...and 142 more Authors all top 5 Cited in 45 Serials 21 Discrete & Computational Geometry 9 Computational Geometry 6 Israel Journal of Mathematics 5 SIAM Journal on Discrete Mathematics 5 Bulletin of the American Mathematical Society. New Series 4 Journal of Combinatorial Theory. Series A 3 Discrete Applied Mathematics 3 Advances in Mathematics 3 Theoretical Computer Science 2 Discrete Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Automatica 2 Mathematika 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Computing 2 European Journal of Combinatorics 2 International Journal of Computational Geometry & Applications 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series B 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of Optimization Theory and Applications 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Order 1 Probability Theory and Related Fields 1 Algorithmica 1 The Annals of Applied Probability 1 Computational Complexity 1 Journal of Algebraic Combinatorics 1 Computational Optimization and Applications 1 Topological Methods in Nonlinear Analysis 1 Combinatorics, Probability and Computing 1 Filomat 1 The Electronic Journal of Combinatorics 1 Journal of Graph Algorithms and Applications 1 Journal of the European Mathematical Society (JEMS) 1 Foundations of Computational Mathematics 1 Oberwolfach Reports 1 Discrete Mathematics, Algorithms and Applications 1 Journal of Applied and Computational Topology 1 Annales Henri Lebesgue 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 29 Fields 62 Convex and discrete geometry (52-XX) 45 Combinatorics (05-XX) 40 Computer science (68-XX) 10 Algebraic topology (55-XX) 9 Probability theory and stochastic processes (60-XX) 8 Manifolds and cell complexes (57-XX) 7 Geometry (51-XX) 7 Numerical analysis (65-XX) 6 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General topology (54-XX) 3 Operator theory (47-XX) 3 Systems theory; control (93-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Citations by Year