## Pinamonti, Andrea

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 Author ID: pinamonti.andrea Published as: Pinamonti, Andrea Homepage: http://cvgmt.sns.it/person/141/ External Links: MGP · Google Scholar · ResearchGate · dblp
 Documents Indexed: 44 Publications since 2012 Co-Authors: 40 Co-Authors with 43 Joint Publications 846 Co-Co-Authors
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### Co-Authors

 1 single-authored 11 Speight, Gareth 8 Vecchi, Eugenio 5 Dipierro, Serena 5 Valdinoci, Enrico 4 Serra Cassano, Francesco 4 Squassina, Marco 3 Ferrari, Fausto 2 Ambrosio, Luigi 2 Biagi, Stefano 2 Citti, Giovanna 2 Don, Sebastiano 2 Maalaoui, Ali 2 Manfredini, Maria 2 Nguyen, Hoai-Minh 2 Novaga, Matteo 2 Pallara, Diego 2 Treu, Giulia 1 Adamowicz, Tomasz 1 Capolli, Marco 1 Carbotti, Alessandro 1 Cesaroni, Annalisa 1 Farina, Alberto 1 Fässler, Katrin S. 1 Fiscella, Alessio 1 Fogagnolo, Mattia 1 Kijowski, Antoni 1 Lam, Nguyen 1 Le Donne, Enrico 1 Lussardi, Luca 1 Magnani, Valentino 1 Maione, Alberto 1 Mazzieri, Lorenzo 1 Miranda, Michele jun. 1 Mugnai, Dimitri 1 Pass, Brendan W. 1 Sire, Yannick 1 Vedovato, Mattia 1 Vittone, Davide 1 Warhurst, Ben 1 Zimmerman, Scott
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### Serials

 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Calculus of Variations and Partial Differential Equations 2 Journal of Differential Equations 2 The Journal of Geometric Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advances in Nonlinear Analysis 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 IMRN. International Mathematics Research Notices 1 Potential Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Methods and Applications of Analysis 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Communications in Contemporary Mathematics 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Complex Variables and Elliptic Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Analysis and Geometry in Metric Spaces
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### Fields

 22 Partial differential equations (35-XX) 16 Differential geometry (53-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 8 Real functions (26-XX) 8 Functional analysis (46-XX) 6 Topological groups, Lie groups (22-XX) 4 Measure and integration (28-XX) 4 Abstract harmonic analysis (43-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

35 Publications have been cited 258 times in 169 Documents Cited by Year
A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian. Zbl 1286.35100
Dipierro, Serena; Pinamonti, Andrea
2013
Multiplicity results for magnetic fractional problems. Zbl 1432.35220
Fiscella, Alessio; Pinamonti, Andrea; Vecchi, Eugenio
2017
New characterizations of magnetic Sobolev spaces. Zbl 1429.49007
Nguyen, Hoai-Minh; Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio
2018
The Maz’ya-Shaposhnikova limit in the magnetic setting. Zbl 1369.46031
Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio
2017
Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group. Zbl 1291.22011
Citti, Giovanna; Manfredini, Maria; Pinamonti, Andrea; Serra Cassano, Francesco
2014
Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula. Zbl 1433.46026
Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio
2019
Tensorization of Cheeger energies, the space $$H^{1, 1}$$ and the area formula for graphs. Zbl 1345.46025
Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth
2015
Fractional Laplacians, perimeters and heat semigroups in Carnot groups. Zbl 1375.35610
Sire, Yannick; Pinamonti, Andrea; Pallara, Diego; Miranda, Michele jun.; Ferrari, Fausto
2018
A measure zero universal differentiability set in the Heisenberg group. Zbl 1375.26024
Pinamonti, Andrea; Speight, Gareth
2017
A Lewy-Stampacchia estimate for variational inequalities in the Heisenberg group. Zbl 1288.35485
Pinamonti, Andrea; Valdinoci, Enrico
2013
Geometric aspects of $$p$$-capacitary potentials. Zbl 1422.35091
Fogagnolo, Mattia; Mazzieri, Lorenzo; Pinamonti, Andrea
2019
Symmetry results for stable and monotone solutions to fibered systems of PDEs. Zbl 1321.35043
Dipierro, Serena; Pinamonti, Andrea
2015
Universal differentiability sets and maximal directional derivatives in Carnot groups. Zbl 1412.53054
Le Donne, Enrico; Pinamonti, Andrea; Speight, Gareth
2019
A geometric inequality for stable solutions of semilinear elliptic problems in the Engel group. Zbl 1381.35202
Pinamonti, Andrea; Valdinoci, Enrico
2012
Poincaré-type inequality for Lipschitz continuous vector fields. Zbl 1337.43005
Citti, Giovanna; Manfredini, Maria; Pinamonti, Andrea; Serra Cassano, Francesco
2016
BV minimizers of the area functional in the Heisenberg group under the bounded slope condition. Zbl 1330.49044
Pinamonti, Andrea; Cassano, Francesco Serra; Treu, Giulia; Vittone, Davide
2015
Weighted Sobolev spaces on metric measure spaces. Zbl 1417.46020
Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth
2019
Structure of porous sets in Carnot groups. Zbl 1457.53016
Pinamonti, Andrea; Speight, Gareth
2017
Some characterizations of magnetic Sobolev spaces. Zbl 1454.46034
Nguyen, Hoai-Minh; Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio
2020
One-dimensional symmetry for semilinear equations with unbounded drift. Zbl 1268.35060
Cesaroni, Annalisa; Novaga, Matteo; Pinamonti, Andrea
2013
Porosity, differentiability and Pansu’s theorem. Zbl 1375.28006
Pinamonti, Andrea; Speight, Gareth
2017
Characterization by asymptotic mean formulas of $$q$$-harmonic functions in Carnot groups. Zbl 1325.35049
Ferrari, Fausto; Pinamonti, Andrea
2015
Nonexistence results for semilinear equations in Carnot groups. Zbl 1258.35197
Ferrari, Fausto; Pinamonti, Andrea
2013
Towards a Brezis-Oswald-type result for fractional problems with Robin boundary conditions. Zbl 1430.35258
Mugnai, Dimitri; Pinamonti, Andrea; Vecchi, Eugenio
2020
Multiple solutions for possibly degenerate equations in divergence form. Zbl 1353.35127
Pinamonti, Andrea
2016
A measure zero UDS in the Heisenberg group. Zbl 1371.26017
Pinamonti, Andrea; Speight, Gareth
2016
Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature. Zbl 1416.58012
Dipierro, Serena; Pinamonti, Andrea; Valdinoci, Enrico
2019
A $$C^m$$ Whitney extension theorem for horizontal curves in the Heisenberg group. Zbl 1428.53041
Pinamonti, Andrea; Speight, Gareth; Zimmerman, Scott
2019
Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups. Zbl 1442.58007
Magnani, Valentino; Pinamonti, Andrea; Speight, Gareth
2020
$$\Gamma$$-convergence for functionals depending on vector fields. I: Integral representation and compactness. Zbl 1440.49016
Maione, Alberto; Pinamonti, Andrea; Serra Cassano, Francesco
2020
Symmetry results for nonlinear elliptic operators with unbounded drift. Zbl 1317.35093
Farina, Alberto; Novaga, Matteo; Pinamonti, Andrea
2014
Interpolations and fractional Sobolev spaces in Carnot groups. Zbl 1426.46021
Maalaoui, Ali; Pinamonti, Andrea
2019
Pohozaev-type identities for differential operators driven by homogeneous vector fields. Zbl 1456.35092
Biagi, Stefano; Pinamonti, Andrea; Vecchi, Eugenio
2021
Rigidity results for elliptic boundary value problems: stable solutions for quasilinear equations with Neumann or Robin boundary conditions. Zbl 1437.35232
Dipierro, Serena; Pinamonti, Andrea; Valdinoci, Enrico
2020
Variational approach to the asymptotic mean-value property for the $$p$$-Laplacian on Carnot groups. Zbl 1440.35039
Adamowicz, Tomasz; Kijowski, Antoni; Pinamonti, Andrea; Warhurst, Ben
2020
Pohozaev-type identities for differential operators driven by homogeneous vector fields. Zbl 1456.35092
Biagi, Stefano; Pinamonti, Andrea; Vecchi, Eugenio
2021
Some characterizations of magnetic Sobolev spaces. Zbl 1454.46034
Nguyen, Hoai-Minh; Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio
2020
Towards a Brezis-Oswald-type result for fractional problems with Robin boundary conditions. Zbl 1430.35258
Mugnai, Dimitri; Pinamonti, Andrea; Vecchi, Eugenio
2020
Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups. Zbl 1442.58007
Magnani, Valentino; Pinamonti, Andrea; Speight, Gareth
2020
$$\Gamma$$-convergence for functionals depending on vector fields. I: Integral representation and compactness. Zbl 1440.49016
Maione, Alberto; Pinamonti, Andrea; Serra Cassano, Francesco
2020
Rigidity results for elliptic boundary value problems: stable solutions for quasilinear equations with Neumann or Robin boundary conditions. Zbl 1437.35232
Dipierro, Serena; Pinamonti, Andrea; Valdinoci, Enrico
2020
Variational approach to the asymptotic mean-value property for the $$p$$-Laplacian on Carnot groups. Zbl 1440.35039
Adamowicz, Tomasz; Kijowski, Antoni; Pinamonti, Andrea; Warhurst, Ben
2020
Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula. Zbl 1433.46026
Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio
2019
Geometric aspects of $$p$$-capacitary potentials. Zbl 1422.35091
Fogagnolo, Mattia; Mazzieri, Lorenzo; Pinamonti, Andrea
2019
Universal differentiability sets and maximal directional derivatives in Carnot groups. Zbl 1412.53054
Le Donne, Enrico; Pinamonti, Andrea; Speight, Gareth
2019
Weighted Sobolev spaces on metric measure spaces. Zbl 1417.46020
Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth
2019
Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature. Zbl 1416.58012
Dipierro, Serena; Pinamonti, Andrea; Valdinoci, Enrico
2019
A $$C^m$$ Whitney extension theorem for horizontal curves in the Heisenberg group. Zbl 1428.53041
Pinamonti, Andrea; Speight, Gareth; Zimmerman, Scott
2019
Interpolations and fractional Sobolev spaces in Carnot groups. Zbl 1426.46021
Maalaoui, Ali; Pinamonti, Andrea
2019
New characterizations of magnetic Sobolev spaces. Zbl 1429.49007
Nguyen, Hoai-Minh; Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio
2018
Fractional Laplacians, perimeters and heat semigroups in Carnot groups. Zbl 1375.35610
Sire, Yannick; Pinamonti, Andrea; Pallara, Diego; Miranda, Michele jun.; Ferrari, Fausto
2018
Multiplicity results for magnetic fractional problems. Zbl 1432.35220
Fiscella, Alessio; Pinamonti, Andrea; Vecchi, Eugenio
2017
The Maz’ya-Shaposhnikova limit in the magnetic setting. Zbl 1369.46031
Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio
2017
A measure zero universal differentiability set in the Heisenberg group. Zbl 1375.26024
Pinamonti, Andrea; Speight, Gareth
2017
Structure of porous sets in Carnot groups. Zbl 1457.53016
Pinamonti, Andrea; Speight, Gareth
2017
Porosity, differentiability and Pansu’s theorem. Zbl 1375.28006
Pinamonti, Andrea; Speight, Gareth
2017
Poincaré-type inequality for Lipschitz continuous vector fields. Zbl 1337.43005
Citti, Giovanna; Manfredini, Maria; Pinamonti, Andrea; Serra Cassano, Francesco
2016
Multiple solutions for possibly degenerate equations in divergence form. Zbl 1353.35127
Pinamonti, Andrea
2016
A measure zero UDS in the Heisenberg group. Zbl 1371.26017
Pinamonti, Andrea; Speight, Gareth
2016
Tensorization of Cheeger energies, the space $$H^{1, 1}$$ and the area formula for graphs. Zbl 1345.46025
Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth
2015
Symmetry results for stable and monotone solutions to fibered systems of PDEs. Zbl 1321.35043
Dipierro, Serena; Pinamonti, Andrea
2015
BV minimizers of the area functional in the Heisenberg group under the bounded slope condition. Zbl 1330.49044
Pinamonti, Andrea; Cassano, Francesco Serra; Treu, Giulia; Vittone, Davide
2015
Characterization by asymptotic mean formulas of $$q$$-harmonic functions in Carnot groups. Zbl 1325.35049
Ferrari, Fausto; Pinamonti, Andrea
2015
Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group. Zbl 1291.22011
Citti, Giovanna; Manfredini, Maria; Pinamonti, Andrea; Serra Cassano, Francesco
2014
Symmetry results for nonlinear elliptic operators with unbounded drift. Zbl 1317.35093
Farina, Alberto; Novaga, Matteo; Pinamonti, Andrea
2014
A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian. Zbl 1286.35100
Dipierro, Serena; Pinamonti, Andrea
2013
A Lewy-Stampacchia estimate for variational inequalities in the Heisenberg group. Zbl 1288.35485
Pinamonti, Andrea; Valdinoci, Enrico
2013
One-dimensional symmetry for semilinear equations with unbounded drift. Zbl 1268.35060
Cesaroni, Annalisa; Novaga, Matteo; Pinamonti, Andrea
2013
Nonexistence results for semilinear equations in Carnot groups. Zbl 1258.35197
Ferrari, Fausto; Pinamonti, Andrea
2013
A geometric inequality for stable solutions of semilinear elliptic problems in the Engel group. Zbl 1381.35202
Pinamonti, Andrea; Valdinoci, Enrico
2012
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### Cited by 216 Authors

 29 Pinamonti, Andrea 11 Vecchi, Eugenio 10 Ambrosio, Vincenzo 10 Speight, Gareth 8 Squassina, Marco 6 Dipierro, Serena 6 Ferrari, Fausto 5 Molica Bisci, Giovanni 5 Nguyen, Hoai-Minh 5 Salort, Ariel Martin 4 Biagi, Stefano 4 Fazly, Mostafa 4 Gigli, Nicola 4 Sire, Yannick 4 Valdinoci, Enrico 3 Agostiniani, Virginia 3 Caravenna, Laura 3 Fässler, Katrin S. 3 Lahti, Panu 3 Le Donne, Enrico 3 Maione, Alberto 3 Mazzieri, Lorenzo 3 Orponen, Tuomas 3 Pallara, Diego 3 Repovš, Dušan D. 3 Serra Cassano, Francesco 3 Shanmugalingam, Nageswari 2 Adamowicz, Tomasz 2 Affili, Elisa 2 Ambrosio, Luigi 2 Antonelli, Gioacchino 2 Azagra, Daniel 2 Capolli, Marco 2 Chousionis, Vasileios 2 Don, Sebastiano 2 Dymond, Michael 2 Farina, Alberto 2 Fernández Bonder, Julián 2 Ferrara, Massimiliano 2 Fiscella, Alessio 2 Fogagnolo, Mattia 2 Galli, Matteo 2 Huang, Xiaotao 2 Kijowski, Antoni 2 Korte, Riikka 2 Li, Dongsheng 2 Li, Sean 2 Li, Zhenjie 2 Maleva, Olga 2 Monti, Roberto 2 Mugnai, Dimitri 2 Novaga, Matteo 2 Rădulescu, Vicenţiu D. 2 Tahraoui, Yassine 2 Treu, Giulia 2 Vallet, Guy 2 Van Schaftingen, Jean 2 Wang, Yanning 2 Zhang, Binlin 2 Zhang, Youpei 2 Zhou, Bianxiang 2 Zhou, Jianwen 1 Abbondanza, Beatrice 1 Alberico, Angela 1 Alberti, Giovanni 1 An, Tianqing 1 An, Xiaoming 1 Anza Hafsa, Omar 1 Bahrouni, Sabri 1 Bai, Chuanzhi 1 Baroni, Paolo 1 Battaglia, Erika 1 Bianchini, Stefano 1 Bigolin, Francesco 1 Björn, Jana 1 Brasseur, Julien 1 Bueno, Hamilton P. 1 Cao, Yuping 1 Carbotti, Alessandro 1 Che, Guofeng 1 Chen, Haibo 1 Cheng, Jih-Hsin 1 Cholewa, Jan W. 1 Cianchi, Andrea 1 Cîndea, Nicolae 1 Ciraolo, Giulio 1 Citti, Giovanna 1 Colombo, Maria 1 Corni, Francesca 1 Corso, Rosario 1 Cui, Na 1 Dai, Wei 1 d’Avenia, Pietro 1 De Philippis, Guido 1 de Souza, Manassés 1 Di Donato, Daniela 1 Di Fratta, Giovanni 1 Di Marino, Simone 1 Dong, Wei 1 Eriksson-Bique, Sylvester ...and 116 more Authors
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### Cited in 70 Serials

 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Differential Equations 10 Calculus of Variations and Partial Differential Equations 7 Journal of Functional Analysis 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 The Journal of Geometric Analysis 6 Communications on Pure and Applied Analysis 5 Journal of Mathematical Analysis and Applications 5 Advances in Nonlinear Analysis 4 Advances in Mathematics 4 Communications in Partial Differential Equations 4 NoDEA. Nonlinear Differential Equations and Applications 4 Discrete and Continuous Dynamical Systems 4 Communications in Contemporary Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Proceedings of the American Mathematical Society 3 Asymptotic Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Studia Mathematica 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Potential Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Mediterranean Journal of Mathematics 2 Boundary Value Problems 2 Complex Variables and Elliptic Equations 2 Discrete and Continuous Dynamical Systems. Series S 2 Forum of Mathematics, Sigma 2 Analysis and Geometry in Metric Spaces 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Collectanea Mathematica 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Results in Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 St. Petersburg Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Abstract and Applied Analysis 1 Mathematical Inequalities & Applications 1 Far East Journal of Applied Mathematics 1 Annales Henri Poincaré 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Frontiers of Mathematics in China 1 Advances in Calculus of Variations 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Annals of Functional Analysis 1 Mathematics 1 Complex Analysis and its Synergies 1 Journal of Function Spaces 1 Open Mathematics 1 AIMS Mathematics 1 Tunisian Journal of Mathematics 1 Electronic Research Archive 1 Annales Fennici Mathematici
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### Cited in 31 Fields

 111 Partial differential equations (35-XX) 36 Differential geometry (53-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 26 Real functions (26-XX) 25 Functional analysis (46-XX) 21 Global analysis, analysis on manifolds (58-XX) 17 Measure and integration (28-XX) 12 Potential theory (31-XX) 11 Topological groups, Lie groups (22-XX) 10 Abstract harmonic analysis (43-XX) 10 Operator theory (47-XX) 8 Integral equations (45-XX) 7 Functions of a complex variable (30-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Convex and discrete geometry (52-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX)