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## Reitzner, Matthias

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 Author ID: reitzner.matthias Published as: Reitzner, Matthias; Reitzner, M. External Links: MGP
 Documents Indexed: 48 Publications since 1992, including 1 Book
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#### Co-Authors

 10 single-authored 6 Hug, Daniel 4 Bárány, Imre 4 Buchta, Christian 4 Ludwig, Monika 4 Schneider, Rolf G. 3 Thäle, Christoph 2 Böröczky, Karoly jun. 2 Peccati, Giovanni 2 Reichenwallner, Benjamin 2 Schulte, Matthias 1 Akinwande, Grace Itunuoluwa 1 Alonso-Gutiérrez, David 1 Bachmann, Sascha 1 Beermann, Mareen 1 Besau, Florian 1 Bonnet, Gilles 1 Calka, Pierre 1 Chimani, Markus 1 Devillers, Olivier 1 Döring, Hanna 1 Edelsbrunner, Herbert 1 Fodor, Ferenc 1 Glisse, Marc 1 Goaoc, Xavier 1 Grote, Julian 1 Grygierek, Jens 1 Hansen, Jan 1 Heveling, Matthias 1 Hörrmann, Julia 1 Juhnke-Kubitzke, Martina 1 Kabluchko, Zakhar A. 1 Kunis, Stefan 1 Marckert, Jean-François 1 Moroz, Guillaume 1 Munsonius, Götz Olaf 1 Nikitenko, Anton V. 1 Römer, Tim 1 Röndigs, Oliver 1 Vígh, Viktor 1 Vritsiou, Beatrice-Helen 1 Werner, Elisabeth M. 1 Zaporozhets, Dmitry
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#### Serials

 5 Advances in Applied Probability 5 Advances in Mathematics 5 Discrete & Computational Geometry 4 The Annals of Probability 2 Mathematika 2 Advances in Applied Mathematics 2 Probability Theory and Related Fields 2 The Annals of Applied Probability 2 Electronic Communications in Probability 1 Beiträge zur Algebra und Geometrie 1 Geometriae Dedicata 1 Journal of Multivariate Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Random Structures & Algorithms 1 Anzeiger der Österreichischen Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse 1 Stochastic Processes and their Applications 1 Annals of Mathematics. Second Series 1 Homology, Homotopy and Applications 1 Advances in Geometry 1 Oberwolfach Reports 1 Bocconi & Springer Series
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#### Fields

 41 Probability theory and stochastic processes (60-XX) 37 Convex and discrete geometry (52-XX) 4 Combinatorics (05-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic topology (55-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 646 times in 392 Documents Cited by Year
A classification of SL$$(n)$$ invariant valuations. Zbl 1223.52007
Ludwig, Monika; Reitzner, Matthias
2010
A characterization of affine surface area. Zbl 0947.52003
Ludwig, Monika; Reitzner, Matthias
1999
Central limit theorems for $$U$$-statistics of Poisson point processes. Zbl 1293.60061
Reitzner, Matthias; Schulte, Matthias
2013
Central limit theorems for random polytopes. Zbl 1081.60008
Reitzner, Matthias
2005
Random polytopes and the Efron-Stein jackknife inequality. Zbl 1058.60010
Reitzner, Matthias
2003
Random polytopes. Zbl 1202.60025
Reitzner, Matthias
2010
The combinatorial structure of random polytopes. Zbl 1065.52004
Reitzner, Matthias
2005
Random points on the boundary of smooth convex bodies. Zbl 0993.60012
Reitzner, Matthias
2002
On the variance of random polytopes. Zbl 1204.52007
Bárány, Imre; Reitzner, Matthias
2010
Stochastical approximation of smooth convex bodies. Zbl 1109.52007
Reitzner, Matthias
2004
Poisson polytopes. Zbl 1204.60018
Bárány, Imre; Reitzner, Matthias
2010
Stochastic analysis for Poisson point processes. Malliavin calculus, Wiener-Itô chaos expansions and stochastic geometry. Zbl 1350.60005
Peccati, Giovanni (ed.); Reitzner, Matthias (ed.)
2016
Large Poisson-Voronoi cells and Crofton cells. Zbl 1069.60010
Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2004
Random points in halfspheres. Zbl 1362.52002
Bárány, Imre; Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2017
The convex hull of random points in a tetrahedron: solution of Blaschke’s problem and more general results. Zbl 0973.52004
Buchta, Christian; Reitzner, Matthias
2001
Gaussian polytopes: variances and limit theorems. Zbl 1089.52003
Hug, Daniel; Reitzner, Matthias
2005
Asymptotic mean values of Gaussian polytopes. Zbl 1082.52003
Hug, Daniel; Munsonius, Götz Olaf; Reitzner, Matthias
2004
The limit shape of the zero cell in a stationary Poisson hyperplane tessellation. Zbl 1050.60010
Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2004
Approximation of smooth convex bodies by random circumscribed polytopes. Zbl 1049.60009
Böröczky, Károly jun.; Reitzner, Matthias
2004
Poisson polyhedra in high dimensions. Zbl 1325.52005
Hörrmann, Julia; Hug, Daniel; Reitzner, Matthias; Thäle, Christoph
2015
Mean width of random polytopes in a reasonably smooth convex body. Zbl 1221.52008
Böröczky, K. jun.; Fodor, F.; Reitzner, M.; Vígh, V.
2009
Set reconstruction by Voronoi cells. Zbl 1280.60013
Reitzner, M.; Spodarev, E.; Zaporozhets, D.
2012
Limit theory for the Gilbert graph. Zbl 1373.60026
Reitzner, Matthias; Schulte, Matthias; Thäle, Christoph
2017
Elementary moves on triangulations. Zbl 1105.52008
Ludwig, Monika; Reitzner, Matthias
2006
$$\mathrm{SL}(n)$$ invariant valuations on polytopes. Zbl 1369.52019
Ludwig, Monika; Reitzner, Matthias
2017
Poisson point processes: large deviation inequalities for the convex distance. Zbl 1309.60020
Reitzner, Matthias
2013
Poisson-Voronoi approximation. Zbl 1172.60003
Heveling, Matthias; Reitzner, Matthias
2009
Equiaffine inner parallel curves of a plane convex body and the convex hulls of randomly chosen points. Zbl 0882.52004
Buchta, Christian; Reitzner, Matthias
1997
Electromagnetic wave propagation and inequalities for moments of chord lengths. Zbl 1138.60302
Hansen, Jan; Reitzner, Matthias
2004
The monotonicity of $$f$$-vectors of random polytopes. Zbl 1359.60024
Devillers, Olivier; Glisse, Marc; Goaoc, Xavier; Moroz, Guillaume; Reitzner, Matthias
2013
Expected sizes of Poisson-Delaunay mosaics and their discrete Morse functions. Zbl 1425.60013
Edelsbrunner, Herbert; Nikitenko, Anton; Reitzner, Matthias
2017
Many empty triangles have a common edge. Zbl 1279.52009
Bárány, Imre; Marckert, Jean-François; Reitzner, Matthias
2013
Beyond the Efron-Buchta identities: distributional results for Poisson polytopes. Zbl 1320.60031
Beermann, Mareen; Reitzner, Matthias
2014
On the monotonicity of the moments of volumes of random simplices. Zbl 1420.60011
Reichenwallner, Benjamin; Reitzner, Matthias
2016
Concentration for Poisson $$U$$-statistics: subgraph counts in random geometric graphs. Zbl 1401.60018
Bachmann, Sascha; Reitzner, Matthias
2018
What is the expected volume of a tetrahedron whose vertices are chosen at random from a given tetrahedron? Zbl 0774.60016
Buchta, Christian; Reitzner, Matthias
1992
Random polytopes are nearly best approximating. Zbl 1113.52019
Reitzner, Matthias
2002
Cells with many facets in a Poisson hyperplane tessellation. Zbl 1388.60041
Bonnet, Gilles; Calka, Pierre; Reitzner, Matthias
2018
On a theorem of G. Herglotz about random polygons. Zbl 0896.52013
Buchta, Christian; Reitzner, Matthias
1997
Inequalities for convex hulls of random points. Zbl 0982.52008
Reitzner, Matthias
2000
The floating body and the equiaffine inner parallel curve of a plane convex body. Zbl 0982.52001
Reitzner, Matthias
2001
Random approximation of convex bodies: monotonicity of the volumes of random tetrahedra. Zbl 1421.60001
Kunis, Stefan; Reichenwallner, Benjamin; Reitzner, Matthias
2018
On the cells in a stationary Poisson hyperplane mosaic. Zbl 1422.60023
Reitzner, Matthias; Schneider, Rolf
2019
On the cells in a stationary Poisson hyperplane mosaic. Zbl 1422.60023
Reitzner, Matthias; Schneider, Rolf
2019
Concentration for Poisson $$U$$-statistics: subgraph counts in random geometric graphs. Zbl 1401.60018
Bachmann, Sascha; Reitzner, Matthias
2018
Cells with many facets in a Poisson hyperplane tessellation. Zbl 1388.60041
Bonnet, Gilles; Calka, Pierre; Reitzner, Matthias
2018
Random approximation of convex bodies: monotonicity of the volumes of random tetrahedra. Zbl 1421.60001
Kunis, Stefan; Reichenwallner, Benjamin; Reitzner, Matthias
2018
Random points in halfspheres. Zbl 1362.52002
Bárány, Imre; Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2017
Limit theory for the Gilbert graph. Zbl 1373.60026
Reitzner, Matthias; Schulte, Matthias; Thäle, Christoph
2017
$$\mathrm{SL}(n)$$ invariant valuations on polytopes. Zbl 1369.52019
Ludwig, Monika; Reitzner, Matthias
2017
Expected sizes of Poisson-Delaunay mosaics and their discrete Morse functions. Zbl 1425.60013
Edelsbrunner, Herbert; Nikitenko, Anton; Reitzner, Matthias
2017
Stochastic analysis for Poisson point processes. Malliavin calculus, Wiener-Itô chaos expansions and stochastic geometry. Zbl 1350.60005
Peccati, Giovanni; Reitzner, Matthias
2016
On the monotonicity of the moments of volumes of random simplices. Zbl 1420.60011
Reichenwallner, Benjamin; Reitzner, Matthias
2016
Poisson polyhedra in high dimensions. Zbl 1325.52005
Hörrmann, Julia; Hug, Daniel; Reitzner, Matthias; Thäle, Christoph
2015
Beyond the Efron-Buchta identities: distributional results for Poisson polytopes. Zbl 1320.60031
Beermann, Mareen; Reitzner, Matthias
2014
Central limit theorems for $$U$$-statistics of Poisson point processes. Zbl 1293.60061
Reitzner, Matthias; Schulte, Matthias
2013
Poisson point processes: large deviation inequalities for the convex distance. Zbl 1309.60020
Reitzner, Matthias
2013
The monotonicity of $$f$$-vectors of random polytopes. Zbl 1359.60024
Devillers, Olivier; Glisse, Marc; Goaoc, Xavier; Moroz, Guillaume; Reitzner, Matthias
2013
Many empty triangles have a common edge. Zbl 1279.52009
Bárány, Imre; Marckert, Jean-François; Reitzner, Matthias
2013
Set reconstruction by Voronoi cells. Zbl 1280.60013
Reitzner, M.; Spodarev, E.; Zaporozhets, D.
2012
A classification of SL$$(n)$$ invariant valuations. Zbl 1223.52007
Ludwig, Monika; Reitzner, Matthias
2010
Random polytopes. Zbl 1202.60025
Reitzner, Matthias
2010
On the variance of random polytopes. Zbl 1204.52007
Bárány, Imre; Reitzner, Matthias
2010
Poisson polytopes. Zbl 1204.60018
Bárány, Imre; Reitzner, Matthias
2010
Mean width of random polytopes in a reasonably smooth convex body. Zbl 1221.52008
Böröczky, K. jun.; Fodor, F.; Reitzner, M.; Vígh, V.
2009
Poisson-Voronoi approximation. Zbl 1172.60003
Heveling, Matthias; Reitzner, Matthias
2009
Elementary moves on triangulations. Zbl 1105.52008
Ludwig, Monika; Reitzner, Matthias
2006
Central limit theorems for random polytopes. Zbl 1081.60008
Reitzner, Matthias
2005
The combinatorial structure of random polytopes. Zbl 1065.52004
Reitzner, Matthias
2005
Gaussian polytopes: variances and limit theorems. Zbl 1089.52003
Hug, Daniel; Reitzner, Matthias
2005
Stochastical approximation of smooth convex bodies. Zbl 1109.52007
Reitzner, Matthias
2004
Large Poisson-Voronoi cells and Crofton cells. Zbl 1069.60010
Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2004
Asymptotic mean values of Gaussian polytopes. Zbl 1082.52003
Hug, Daniel; Munsonius, Götz Olaf; Reitzner, Matthias
2004
The limit shape of the zero cell in a stationary Poisson hyperplane tessellation. Zbl 1050.60010
Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2004
Approximation of smooth convex bodies by random circumscribed polytopes. Zbl 1049.60009
Böröczky, Károly jun.; Reitzner, Matthias
2004
Electromagnetic wave propagation and inequalities for moments of chord lengths. Zbl 1138.60302
Hansen, Jan; Reitzner, Matthias
2004
Random polytopes and the Efron-Stein jackknife inequality. Zbl 1058.60010
Reitzner, Matthias
2003
Random points on the boundary of smooth convex bodies. Zbl 0993.60012
Reitzner, Matthias
2002
Random polytopes are nearly best approximating. Zbl 1113.52019
Reitzner, Matthias
2002
The convex hull of random points in a tetrahedron: solution of Blaschke’s problem and more general results. Zbl 0973.52004
Buchta, Christian; Reitzner, Matthias
2001
The floating body and the equiaffine inner parallel curve of a plane convex body. Zbl 0982.52001
Reitzner, Matthias
2001
Inequalities for convex hulls of random points. Zbl 0982.52008
Reitzner, Matthias
2000
A characterization of affine surface area. Zbl 0947.52003
Ludwig, Monika; Reitzner, Matthias
1999
Equiaffine inner parallel curves of a plane convex body and the convex hulls of randomly chosen points. Zbl 0882.52004
Buchta, Christian; Reitzner, Matthias
1997
On a theorem of G. Herglotz about random polygons. Zbl 0896.52013
Buchta, Christian; Reitzner, Matthias
1997
What is the expected volume of a tetrahedron whose vertices are chosen at random from a given tetrahedron? Zbl 0774.60016
Buchta, Christian; Reitzner, Matthias
1992
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#### Cited by 339 Authors

 34 Thäle, Christoph 25 Reitzner, Matthias 22 Werner, Elisabeth M. 19 Hug, Daniel 16 Böröczky, Karoly jun. 14 Ludwig, Monika 13 Kabluchko, Zakhar A. 12 Peccati, Giovanni 11 Bárány, Imre 11 Calka, Pierre 11 Schulte, Matthias 10 Leng, Gangsong 10 Schneider, Rolf G. 10 Yang, Deane 10 Zhang, Gaoyong 9 Lutwak, Erwin 9 Schütt, Carsten 8 Ma, Tongyi 8 Schuster, Franz E. 8 Ye, Deping 8 Yukich, Joseph Elliott 7 Grote, Julian 7 Last, Günter 7 Prochno, Joscha 7 Xiong, Ge 7 Zaporozhets, Dmitry 7 Zhou, Jiazu 6 Fodor, Ferenc 6 Parapatits, Lukas 6 Zhu, Guangxian 5 Besau, Florian 5 Colesanti, Andrea 5 Feng, Yibin 5 Haberl, Christoph 5 Ivaki, Mohammad N. 5 Mussnig, Fabian 5 Vu, Van H. 5 Wang, Weidong 5 Xi, Dongmeng 5 Zhu, Baocheng 5 Zou, Du 4 Alonso-Gutiérrez, David 4 Beneš, Viktor 4 Bonnet, Gilles 4 Edelsbrunner, Herbert 4 Hilhorst, Hendrik Jan 4 Huang, Yong 4 Li, Aijun 4 Li, Jin 4 Nikitenko, Anton V. 4 Schreiber, Tomasz 4 Temesvari, Daniel 4 Turchi, Nicola 4 Večeřa, Jakub 4 Vígh, Viktor 4 Wannerer, Thomas 4 Zhao, Yiming 3 Abardia-Evéquoz, Judit 3 Abardia, Judit 3 Alesker, Semyon 3 Bernig, Andreas 3 Brunel, Victor-Emmanuel 3 Buchta, Christian 3 Caglar, Umut 3 Chenavier, Nicolas 3 Decreusefond, Laurent 3 Döbler, Christian 3 Durastanti, Claudio 3 Faifman, Dmitry 3 Grygierek, Jens 3 He, Binwu 3 Heinrich, Lothar 3 Henk, Martin 3 Hörrmann, Julia 3 Huang, Qingzhong 3 Lachièze-Rey, Raphaël 3 Lin, Youjiang 3 Lu, Jian 3 Paouris, Grigoris 3 Pivovarov, Peter 3 Villanueva, Ignacio 3 Weil, Wolfgang 3 Wespi, Florian 3 Wu, Denghui 3 Xu, Wenxue 3 Yijing, Sun 3 Zhao, Changjian 2 Beermann, Mareen 2 Bourguin, Solesne 2 Chen, Shibing 2 Gao, Li 2 Gómez, Eugenia Saorín 2 Guo, Lujun 2 Guo, Yuanyuan 2 Gusakova, Anna Grigorevna 2 Herburt, Irmina 2 Herry, Ronan 2 Hoehner, Steven D. 2 Jian, Huaiyu 2 Lautensack Redenbach, Claudia ...and 239 more Authors
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#### Cited in 104 Serials

 52 Advances in Mathematics 20 Advances in Applied Probability 19 Transactions of the American Mathematical Society 16 Advances in Applied Mathematics 16 Discrete & Computational Geometry 15 Journal of Mathematical Analysis and Applications 13 Journal of Functional Analysis 12 The Annals of Probability 11 Proceedings of the American Mathematical Society 10 Probability Theory and Related Fields 10 The Journal of Geometric Analysis 8 Calculus of Variations and Partial Differential Equations 7 The Annals of Applied Probability 7 Electronic Journal of Probability 7 Bernoulli 6 Geometriae Dedicata 6 Stochastic Processes and their Applications 5 Journal of Applied Probability 5 Mathematische Annalen 5 Statistics & Probability Letters 5 Journal of Theoretical Probability 4 Israel Journal of Mathematics 4 Journal of Statistical Physics 4 Monatshefte für Mathematik 4 Journal of Inequalities and Applications 4 Methodology and Computing in Applied Probability 3 Canadian Journal of Mathematics 3 Mathematika 3 Quaestiones Mathematicae 3 Journal of Statistical Mechanics: Theory and Experiment 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Science China. Mathematics 3 Journal of Function Spaces 2 Periodica Mathematica Hungarica 2 Duke Mathematical Journal 2 Glasgow Mathematical Journal 2 Journal of Differential Equations 2 Journal of Multivariate Analysis 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Acta Mathematica Hungarica 2 Journal of Complexity 2 Journal of the American Mathematical Society 2 Computational Geometry 2 Geometric and Functional Analysis. GAFA 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Mathematical Sciences (New York) 2 Extremes 2 Advances in Geometry 2 Oberwolfach Reports 2 Electronic Journal of Statistics 1 Discrete Applied Mathematics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Scandinavian Journal of Statistics 1 Ukrainian Mathematical Journal 1 Theory of Probability and its Applications 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Annals of the Institute of Statistical Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Kybernetika 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 European Journal of Combinatorics 1 Statistical Science 1 Random Structures & Algorithms 1 Applications of Mathematics 1 L’Enseignement Mathématique. 2e Série 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mathematical Programming. Series A. Series B 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Computational Optimization and Applications 1 Test 1 Applied and Computational Harmonic Analysis 1 Documenta Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Mathematical Physics, Analysis and Geometry 1 Geometry & Topology 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Mediterranean Journal of Mathematics 1 Journal of Mathematical Inequalities 1 Journal of Nonlinear Science and Applications 1 Statistics Surveys ...and 4 more Serials
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#### Cited in 38 Fields

 277 Convex and discrete geometry (52-XX) 188 Probability theory and stochastic processes (60-XX) 40 Differential geometry (53-XX) 30 Statistics (62-XX) 19 Functional analysis (46-XX) 16 Partial differential equations (35-XX) 12 Real functions (26-XX) 7 Computer science (68-XX) 6 Combinatorics (05-XX) 6 Measure and integration (28-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Algebraic topology (55-XX) 5 Numerical analysis (65-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Geometry (51-XX) 4 Operations research, mathematical programming (90-XX) 4 Information and communication theory, circuits (94-XX) 3 Number theory (11-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)