## Misiołek, Gerard

Compute Distance To:
 Author ID: misiolek.gerard Published as: Misiołek, Gerard; Misiołek, G.; Misiolek, Gerard more...less
 Documents Indexed: 46 Publications since 1993, including 1 Book Co-Authors: 19 Co-Authors with 37 Joint Publications 689 Co-Co-Authors
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### Co-Authors

 9 single-authored 14 Himonas, A. Alexandrou 9 Khesin, Boris A. 6 Preston, Stephen C. 5 Lenells, Jonatan 5 Yoneda, Tsuyoshi 3 Modin, Klas 2 Ebin, David G. 2 Marsden, Jerrold Eldon 2 Perlmutter, Matthew 2 Ponce, Gustavo 2 Ratiu, Tudor Stefan 2 Tiğlay, Feride 1 Benn, James 1 Drivas, Theodore Dimitrios 1 Kenig, Carlos Eduardo 1 Lichtenfelz, Leandro A. 1 Ortega, Juan-Pablo 1 Shi, Bin 1 Zhou, Yong
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### Serials

 4 Mathematische Annalen 4 Proceedings of the American Mathematical Society 4 Geometric and Functional Analysis. GAFA 3 Communications in Mathematical Physics 2 Archive for Rational Mechanics and Analysis 2 IMRN. International Mathematics Research Notices 2 Communications in Partial Differential Equations 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Transactions of the American Mathematical Society 1 Differential and Integral Equations 1 Differential Geometry and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 The Asian Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 Pure and Applied Mathematics Quarterly 1 Lecture Notes in Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Annales Mathématiques du Québec 1 Arnold Mathematical Journal
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### Fields

 31 Partial differential equations (35-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Dynamical systems and ergodic theory (37-XX) 12 Fluid mechanics (76-XX) 10 Differential geometry (53-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

41 Publications have been cited 1,384 times in 793 Documents Cited by Year
A shallow water equation as a geodesic flow on the Bott-Virasoro group. Zbl 0901.58022
Misiołek, Gerard
1998
Persistence properties and unique continuation of solutions of the Camassa-Holm equation. Zbl 1142.35078
Himonas, A. Alexandrou; Misiołek, Gerard; Ponce, Gustavo; Zhou, Yong
2007
Euler equations on homogeneous spaces and Virasoro orbits. Zbl 1017.37039
Khesin, Boris; Misiołek, Gerard
2003
Non-uniform dependence for the periodic CH equation. Zbl 1193.35189
Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard
2010
Classical solutions of the periodic Camassa-Holm equation. Zbl 1158.37311
Misiołek, G.
2002
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms. Zbl 1156.35082
Khesin, Boris; Lenells, Jonatan; Misiołek, Gerard
2008
Hamiltonian reduction by stages. Zbl 1129.37001
Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S.
2007
The Cauchy problem for an integrable shallow-water equation. Zbl 1009.35075
Himonas, A. Alexandrou; Misiołek, Gerard
2001
Integrable evolution equations on spaces of tensor densities and their peakon solutions. Zbl 1214.35059
Lenells, Jonatan; Misiołek, Gerard; Tiğlay, Feride
2010
Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics. Zbl 1195.35247
Himonas, A. Alexandrou; Misiołek, Gerard
2010
Analyticity of the Cauchy problem for an integrable evolution equation. Zbl 1073.35008
Himonas, A. Alexandrou; Misiołek, Gerard
2003
High-frequency smooth solutions and well-posedness of the Camassa-Holm equation. Zbl 1092.35085
Himonas, A. Alexandrou; Misiołek, Gerard
2005
Fredholm properties of Riemannian exponential maps on diffeomorphism groups. Zbl 1183.58006
Misiołek, Gerard; Preston, Stephen C.
2010
Non-uniform continuity in $$H^1$$ of the solution map of the CH equation. Zbl 1127.35056
Himonas, A. Alexandrou; Misiołek, Gerard; Ponce, Gustavo
2007
Stability of flows of ideal fluids and the geometry of the group of diffeomorphisms. Zbl 0799.58019
Misiołek, Gerard
1993
Geometry of diffeomorphism groups, complete integrability and geometric statistics. Zbl 1275.58006
Khesin, Boris A.; Lenells, Jonatan; Misiołek, Gerard; Preston, Stephen C.
2013
Well-posedness of the Cauchy problem for a shallow water equation on the circle. Zbl 0945.35073
Himonas, Alexandrou A.; Misiołek, Gerard
2000
Singularities of the exponential map on the volume-preserving diffeomorphism group. Zbl 1105.35070
Ebin, D. G.; Misiołek, G.; Preston, S. C.
2006
Curvatures of Sobolev metrics on diffeomorphism groups. Zbl 1287.58007
Khesin, B.; Lenells, J.; Misiołek, G.; Preston, S. C.
2013
The Cauchy problem for a shallow water type equation. Zbl 0895.35021
Himonas, A. Alexandrou; Misiołek, Gerard
1998
Conjugate points in $$D_ \mu (T^ 2)$$. Zbl 0849.58004
Misiołek, Gerard
1996
Symplectic reduction for semidirect products and central extensions. Zbl 0973.53069
Marsden, Jerrold E.; Misiołek, Gerard; Perlmutter, Matthew; Ratiu, Tudor S.
1998
Conjugate points in the Bott-Virasoro group and the KdV equation. Zbl 0861.58004
Misiolek, Gerard
1997
Geometric hydrodynamics via Madelung transform. Zbl 1416.58006
Khesin, Boris; Misiolek, Gerard; Modin, Klas
2018
Continuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spaces. Zbl 1388.35160
Misiołek, Gerard; Yoneda, Tsuyoshi
2018
The initial value problem for a fifth order shallow water equation on the real line. Zbl 0955.35065
Himonas, A. Alexandrou; Misiołek, Gerard
2000
Ill-posedness examples for the quasi-geostrophic and the Euler equations. Zbl 1317.35265
Misiołek, Gerard; Yoneda, Tsuyoshi
2012
The exponential map on the free loop space is Fredholm. Zbl 0906.58002
Misiołek, G.
1997
Shock waves for the Burgers equation and curvatures of diffeomorphism groups. Zbl 1161.35464
Khesin, B.; Misiołek, G.
2007
Local ill-posedness of the incompressible Euler equations in $$C^1$$ and $$B^1_{\infty,1}$$. Zbl 1336.35280
Misiołek, Gerard; Yoneda, Tsuyoshi
2016
The exponential map near conjugate points in 2D hydrodynamics. Zbl 1329.58003
Misiołek, Gerard
2015
On unique continuation for the modified Euler-Poisson equations. Zbl 1136.35066
Himonas, A. Alexandrou; Misiołek, Gerard; Tiğlay, Feride
2007
Geometry of the Madelung transform. Zbl 1425.53107
Khesin, Boris; Misiołek, Gerard; Modin, Klas
2019
Asymptotic directions, Monge-Ampère equations and the geometry of diffeomorphism groups. Zbl 1081.76011
Khesin, Boris; Misiołek, Gerard
2005
Amari-Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups. Zbl 1305.58008
Lenells, J.; Misiołek, G.
2014
Erratum to: “Local ill-posedness of the incompressible Euler equations in $$C^1$$ and $$B^1_{\infty, 1}$$”. Zbl 1398.35156
Misiołek, Gerard; Yoneda, Tsuyoshi
2015
Exponential maps of Sobolev metrics on loop groups. Zbl 0927.58002
Misiolek, Gerard
1999
The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary. Zbl 1412.35234
Benn, James; Misiołek, Gerard; Preston, Stephen C.
2018
The exponential map on $$D_\mu^s$$. Zbl 0954.58007
Ebin, David G.; Misiołek, Gerard
1999
Remarks on an integrable evolution equation. Zbl 1013.35074
Himonas, A. Alexandrou; Misiołek, Gerard
2002
Geometric hydrodynamics and infinite-dimensional Newton’s equations. Zbl 1473.35444
Khesin, Boris; Misiołek, Gerard; Modin, Klas
2021
Geometric hydrodynamics and infinite-dimensional Newton’s equations. Zbl 1473.35444
Khesin, Boris; Misiołek, Gerard; Modin, Klas
2021
Geometry of the Madelung transform. Zbl 1425.53107
Khesin, Boris; Misiołek, Gerard; Modin, Klas
2019
Geometric hydrodynamics via Madelung transform. Zbl 1416.58006
Khesin, Boris; Misiolek, Gerard; Modin, Klas
2018
Continuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spaces. Zbl 1388.35160
Misiołek, Gerard; Yoneda, Tsuyoshi
2018
The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary. Zbl 1412.35234
Benn, James; Misiołek, Gerard; Preston, Stephen C.
2018
Local ill-posedness of the incompressible Euler equations in $$C^1$$ and $$B^1_{\infty,1}$$. Zbl 1336.35280
Misiołek, Gerard; Yoneda, Tsuyoshi
2016
The exponential map near conjugate points in 2D hydrodynamics. Zbl 1329.58003
Misiołek, Gerard
2015
Erratum to: “Local ill-posedness of the incompressible Euler equations in $$C^1$$ and $$B^1_{\infty, 1}$$”. Zbl 1398.35156
Misiołek, Gerard; Yoneda, Tsuyoshi
2015
Amari-Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups. Zbl 1305.58008
Lenells, J.; Misiołek, G.
2014
Geometry of diffeomorphism groups, complete integrability and geometric statistics. Zbl 1275.58006
Khesin, Boris A.; Lenells, Jonatan; Misiołek, Gerard; Preston, Stephen C.
2013
Curvatures of Sobolev metrics on diffeomorphism groups. Zbl 1287.58007
Khesin, B.; Lenells, J.; Misiołek, G.; Preston, S. C.
2013
Ill-posedness examples for the quasi-geostrophic and the Euler equations. Zbl 1317.35265
Misiołek, Gerard; Yoneda, Tsuyoshi
2012
Non-uniform dependence for the periodic CH equation. Zbl 1193.35189
Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard
2010
Integrable evolution equations on spaces of tensor densities and their peakon solutions. Zbl 1214.35059
Lenells, Jonatan; Misiołek, Gerard; Tiğlay, Feride
2010
Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics. Zbl 1195.35247
Himonas, A. Alexandrou; Misiołek, Gerard
2010
Fredholm properties of Riemannian exponential maps on diffeomorphism groups. Zbl 1183.58006
Misiołek, Gerard; Preston, Stephen C.
2010
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms. Zbl 1156.35082
Khesin, Boris; Lenells, Jonatan; Misiołek, Gerard
2008
Persistence properties and unique continuation of solutions of the Camassa-Holm equation. Zbl 1142.35078
Himonas, A. Alexandrou; Misiołek, Gerard; Ponce, Gustavo; Zhou, Yong
2007
Hamiltonian reduction by stages. Zbl 1129.37001
Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S.
2007
Non-uniform continuity in $$H^1$$ of the solution map of the CH equation. Zbl 1127.35056
Himonas, A. Alexandrou; Misiołek, Gerard; Ponce, Gustavo
2007
Shock waves for the Burgers equation and curvatures of diffeomorphism groups. Zbl 1161.35464
Khesin, B.; Misiołek, G.
2007
On unique continuation for the modified Euler-Poisson equations. Zbl 1136.35066
Himonas, A. Alexandrou; Misiołek, Gerard; Tiğlay, Feride
2007
Singularities of the exponential map on the volume-preserving diffeomorphism group. Zbl 1105.35070
Ebin, D. G.; Misiołek, G.; Preston, S. C.
2006
High-frequency smooth solutions and well-posedness of the Camassa-Holm equation. Zbl 1092.35085
Himonas, A. Alexandrou; Misiołek, Gerard
2005
Asymptotic directions, Monge-Ampère equations and the geometry of diffeomorphism groups. Zbl 1081.76011
Khesin, Boris; Misiołek, Gerard
2005
Euler equations on homogeneous spaces and Virasoro orbits. Zbl 1017.37039
Khesin, Boris; Misiołek, Gerard
2003
Analyticity of the Cauchy problem for an integrable evolution equation. Zbl 1073.35008
Himonas, A. Alexandrou; Misiołek, Gerard
2003
Classical solutions of the periodic Camassa-Holm equation. Zbl 1158.37311
Misiołek, G.
2002
Remarks on an integrable evolution equation. Zbl 1013.35074
Himonas, A. Alexandrou; Misiołek, Gerard
2002
The Cauchy problem for an integrable shallow-water equation. Zbl 1009.35075
Himonas, A. Alexandrou; Misiołek, Gerard
2001
Well-posedness of the Cauchy problem for a shallow water equation on the circle. Zbl 0945.35073
Himonas, Alexandrou A.; Misiołek, Gerard
2000
The initial value problem for a fifth order shallow water equation on the real line. Zbl 0955.35065
Himonas, A. Alexandrou; Misiołek, Gerard
2000
Exponential maps of Sobolev metrics on loop groups. Zbl 0927.58002
Misiolek, Gerard
1999
The exponential map on $$D_\mu^s$$. Zbl 0954.58007
Ebin, David G.; Misiołek, Gerard
1999
A shallow water equation as a geodesic flow on the Bott-Virasoro group. Zbl 0901.58022
Misiołek, Gerard
1998
The Cauchy problem for a shallow water type equation. Zbl 0895.35021
Himonas, A. Alexandrou; Misiołek, Gerard
1998
Symplectic reduction for semidirect products and central extensions. Zbl 0973.53069
Marsden, Jerrold E.; Misiołek, Gerard; Perlmutter, Matthew; Ratiu, Tudor S.
1998
Conjugate points in the Bott-Virasoro group and the KdV equation. Zbl 0861.58004
Misiolek, Gerard
1997
The exponential map on the free loop space is Fredholm. Zbl 0906.58002
Misiołek, G.
1997
Conjugate points in $$D_ \mu (T^ 2)$$. Zbl 0849.58004
Misiołek, Gerard
1996
Stability of flows of ideal fluids and the geometry of the group of diffeomorphisms. Zbl 0799.58019
Misiołek, Gerard
1993
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### Cited by 659 Authors

 28 Himonas, A. Alexandrou 27 Liu, Yue 27 Yin, Zhaoyang 25 Mi, Yongsheng 25 Mu, Chunlai 22 Misiołek, Gerard 21 Guo, Zhengguang 19 Qu, Changzheng 18 Lenells, Jonatan 18 Preston, Stephen C. 18 Zhou, Shouming 16 Lai, Shaoyong 15 Bauer, Martin 15 Fu, Ying 14 Kolev, Boris 14 Yan, Wei 13 Guo, Boling 13 Li, Yongsheng 13 Zhou, Yong 12 Jiang, Zaihong 12 Khesin, Boris A. 12 Qiao, Zhijun 12 Ratiu, Tudor Stefan 12 Zhu, Mingxuan 11 Guha, Partha 11 Zhu, Min 10 Bruveris, Martins 10 Escher, Joachim 10 Tian, Lixin 9 Gay-Balmaz, François 9 Li, Jinlu 9 Modin, Klas 9 Ni, Lidiao 9 Tiğlay, Feride 8 Constantin, Adrian 8 Guo, Yunxi 8 Marsden, Jerrold Eldon 8 Moon, Byungsoo 8 Petronilho, Gerson 8 Wang, Xiaohuan 7 Benn, James 7 Gao, Hongjun 7 Jin, Liangbing 7 Kohlmann, Martin 7 Liu, Zhengrong 7 Lv, Guangying 7 Novruzov, Emil B. 7 Shen, Chunyu 7 Topalov, Peter J. 7 Wu, Xinglong 6 Holliman, Curtis 6 Holm, Darryl D. 6 Michor, Peter Wolfram 6 Wang, Haiquan 6 Wunsch, Marcus 6 Yang, Shaojie 6 Yu, Shengqi 6 Yu, Yanghai 6 Zhu, Weipeng 6 Zuo, Dafeng 5 Hakkaev, Sevdzhan A. 5 Ivanov, Rossen I. 5 Li, Fengquan 5 Liu, Xingxing 5 Mantzavinos, Dionyssios 5 Ohsawa, Tomoki 5 Reyes, Enrique G. 5 Sarria, Alejandro 5 Tang, Hao 5 Tronci, Cesare 5 Yan, Kai 5 Yoneda, Tsuyoshi 5 Zhang, Shuanghu 4 Barostichi, Rafael F. 4 Christov, Ognyan 4 Cismas, Emanuel-Ciprian 4 Esen, Oğul 4 Gao, Anna 4 Gorsky, Jennifer M. 4 Gui, Guilong 4 Guo, Fei 4 Harms, Philipp 4 He, Huijun 4 Huang, Daiwen 4 Inci, Hasan 4 Liu, Jingjing 4 Liu, Xiaochuan 4 Luo, Ting 4 Ortenzi, Giovanni 4 Ponce, Gustavo 4 Prykarpatsky, Yarema Anatoliyovych 4 Thompson, Ryan C. 4 Vialard, François-Xavier 4 Vorotnikov, Dmitry A. 4 Wu, Meng 4 Wu, Xing 4 Wu, Yonghong 4 Xu, Tianzhou 4 Yang, Cheng 4 Yang, Xingyu ...and 559 more Authors
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### Cited in 159 Serials

 69 Journal of Differential Equations 53 Journal of Mathematical Physics 42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 34 Discrete and Continuous Dynamical Systems 31 Journal of Mathematical Analysis and Applications 28 Journal of Nonlinear Mathematical Physics 24 Monatshefte für Mathematik 22 Nonlinear Analysis. Real World Applications 20 Journal of Geometry and Physics 18 Communications in Mathematical Physics 18 Journal of Functional Analysis 15 Applicable Analysis 15 Abstract and Applied Analysis 14 Journal of Nonlinear Science 12 Archive for Rational Mechanics and Analysis 12 Annals of Global Analysis and Geometry 12 Journal of Mathematical Fluid Mechanics 12 Journal of Geometric Mechanics 11 Boundary Value Problems 9 Differential Geometry and its Applications 9 Calculus of Variations and Partial Differential Equations 9 Journal of Evolution Equations 8 Letters in Mathematical Physics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Proceedings of the American Mathematical Society 7 Nonlinearity 7 Applied Mathematics and Computation 7 Physica D 6 Mathematical Methods in the Applied Sciences 6 Advances in Mathematics 6 Mathematische Annalen 6 Advances in Mathematical Physics 5 Reviews in Mathematical Physics 5 Acta Applicandae Mathematicae 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Geometric and Functional Analysis. GAFA 5 Communications in Partial Differential Equations 5 SIAM Journal on Mathematical Analysis 5 Journal of Inequalities and Applications 5 Arnold Mathematical Journal 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Studies in Applied Mathematics 4 Applied Mathematics Letters 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of High Energy Physics 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 International Journal of Geometric Methods in Modern Physics 4 Discrete and Continuous Dynamical Systems. Series S 3 Wave Motion 3 Annales de l’Institut Fourier 3 Journal of Dynamics and Differential Equations 3 Journal of Mathematical Sciences (New York) 3 Mathematical Physics, Analysis and Geometry 3 Regular and Chaotic Dynamics 3 Discrete and Continuous Dynamical Systems. Series B 3 Frontiers of Mathematics in China 3 Analysis and Mathematical Physics 2 Physics Letters. A 2 Reports on Mathematical Physics 2 Ukrainian Mathematical Journal 2 BIT 2 Bulletin of the London Mathematical Society 2 Inventiones Mathematicae 2 Journal of the Mathematical Society of Japan 2 Mathematics and Computers in Simulation 2 Mathematische Zeitschrift 2 Quarterly of Applied Mathematics 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 Dynamics and Stability of Systems 2 The Journal of Geometric Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Bulletin des Sciences Mathématiques 2 Geometry & Topology 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 Journal of Function Spaces and Applications 2 Advances in Difference Equations 2 Communications in Computational Physics 2 Science China. Mathematics 2 Journal of Function Spaces 2 Electronic Research Archive 1 International Journal of Modern Physics B 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Engineering Mathematics 1 Nuclear Physics. B 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Canadian Journal of Mathematics 1 Demonstratio Mathematica 1 Functional Analysis and its Applications ...and 59 more Serials
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### Cited in 39 Fields

 642 Partial differential equations (35-XX) 221 Dynamical systems and ergodic theory (37-XX) 180 Fluid mechanics (76-XX) 104 Global analysis, analysis on manifolds (58-XX) 89 Differential geometry (53-XX) 49 Mechanics of particles and systems (70-XX) 27 Quantum theory (81-XX) 26 Nonassociative rings and algebras (17-XX) 24 Numerical analysis (65-XX) 19 Topological groups, Lie groups (22-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 13 Probability theory and stochastic processes (60-XX) 12 Functional analysis (46-XX) 12 Operator theory (47-XX) 12 Mechanics of deformable solids (74-XX) 12 Geophysics (86-XX) 11 Systems theory; control (93-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Real functions (26-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Ordinary differential equations (34-XX) 5 Algebraic geometry (14-XX) 4 Functions of a complex variable (30-XX) 4 Manifolds and cell complexes (57-XX) 4 Optics, electromagnetic theory (78-XX) 4 Information and communication theory, circuits (94-XX) 3 Statistics (62-XX) 3 Relativity and gravitational theory (83-XX) 2 Measure and integration (28-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX)