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## Brown, Richard Clark

Compute Distance To:
 Author ID: brown.richard-c Published as: Brown, R.; Brown, R. C.; Brown, Richard; Brown, Richard C. External Links: MGP
 Documents Indexed: 81 Publications since 1972, including 2 Books
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#### Co-Authors

 10 single-authored 27 Hinton, Don Barker 5 Krall, Allan M. 4 Tvrdý, Milan 2 Edmunds, David Eric 2 Kwong, Man Kam 2 Rákosník, Jiří 2 Vejvoda, Otto 1 Anderson, Terry G. 1 Ashbaugh, Mark S. 1 Burenkov, Viktor Ivanovich 1 Clark, Stephen L. 1 Clark, Steve 1 Fink, Arlington Michael 1 Green, Gary Brian 1 Kufner, Alois 1 Plum, Michael 1 Schwabik, Štefan 1 Shaw, Ming-Fu 1 Vrkoč, Ivo
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#### Serials

 6 Czechoslovak Mathematical Journal 2 Journal of Mathematical Analysis and Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Proceedings of the American Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Časopis Pro Pěstování Matematiky 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the London Mathematical Society. Third Series 1 Quaestiones Mathematicae 1 Real Analysis Exchange 1 Transactions of the American Mathematical Society 1 Differential and Integral Equations 1 Mathematica Bohemica 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Communications in Applied Analysis 1 Journal of Inequalities and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
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#### Fields

 32 Ordinary differential equations (34-XX) 25 Real functions (26-XX) 19 Operator theory (47-XX) 5 Functional analysis (46-XX) 3 Approximations and expansions (41-XX) 2 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 220 times in 171 Documents Cited by Year
Opial’s inequality and oscillation of second order equations. Zbl 0866.34026
Brown, R. C.; Hinton, D. B.
1997
Lyapunov inequalities and their applications. Zbl 1034.34002
Brown, Richard C.; Hinton, Don B.
2000
Ordinary differential operators under Stieltjes boundary conditions. Zbl 0295.34010
Brown, Richard C.; Krall, Allan M.
1974
Applications of a one-dimensional Sobolev inequality to eigenvalue problems. Zbl 0842.34083
Brown, R. C.; Hinton, D. B.; Schwabik, Š.
1996
Sufficient conditions for weighted inequalities of sum form. Zbl 0587.26011
Brown, R. C.; Hinton, D. B.
1985
Weighted interpolation inequalities of sum and product form in $${\mathbb{R}}^ n$$. Zbl 0648.26008
Brown, R. C.; Hinton, D. B.
1988
n-th order ordinary differential systems under Stieltjes boundary conditions. Zbl 0369.34006
Brown, Richard C.; Krall, Allan M.
1977
Weighted interpolation inequalities and embeddings in $$R^ n$$. Zbl 0726.26012
Brown, R. C.; Hinton, D. B.
1990
Locally contractive dynamics in generalized integrate-and-fire neurons. Zbl 1284.37030
Jimenez, Nicolas D.; Mihalas, Stefan; Brown, Richard; Niebur, Ernst; Rubin, Jonathan
2013
Some separation criteria and inequalities associated with linear second order differential operators. Zbl 0982.34032
Brown, R. C.; Hinton, D. B.; Shaw, M. F.
2000
Some embeddings of weighted Sobolev spaces on finite measure and quasibounded domains. Zbl 0932.46024
Brown, R. C.
1998
Weighted interpolation and Hardy inequalities with some spectral theoretic applications. Zbl 0858.26010
Brown, R. C.; Hinton, D. B.
1994
Embeddings of weighted Sobolev spaces into spaces of continuous functions. Zbl 0765.46015
Brown, R. C.; Opic, B.
1992
The operator theory of generalized boundary value problems. Zbl 0338.34008
Brown, R. C.
1976
Adjoint domains and generalized splines. Zbl 0309.41014
Brown, R. C.
1975
Adjoints of multipoint-integral boundary value problems. Zbl 0252.34020
Brown, R. C.; Krall, Allan M.
1973
Some Opial, Lyapunov, and de la Valée Poussin inequalities with nonhomogeneous boundary conditions. Zbl 0955.26009
Brown, Richard C.; Fink, A. M.; Hinton, Don B.
2000
Two separation criteria for second order ordinary or partial differential operators. Zbl 0937.34068
Brown, R. C.; Hinton, D. B.
1999
Generalized boundary value problems with abstract side conditions and their adjoints. I. Zbl 0454.47025
Brown, R. C.; Tvrdy, M.
1980
Duality theory for $$n$$th order differential operators under Stieltjes boundary conditions. Zbl 0322.34011
Brown, R. C.
1975
Duality theory for N-th order differential operators under Stieltjes boundary conditions. II: Nonsmooth coefficients and nonsingular measures. Zbl 0316.47027
Brown, R. C.
1975
Separation and disconjugacy. Zbl 1062.34033
Brown, R. C.
2003
Notes on generalized boundary value problems in Banach spaces. II: Infinite dimensional extension theory. Zbl 0496.47002
Brown, R. C.
1982
The operator theory of generalized boundary. Zbl 0302.34017
Brown, R. C.
1975
Eigenfunction expansions under multipoint-integral boundary conditions. Zbl 0276.34021
Brown, R. C.; Green, Gary B.; Krall, A. M.
1973
The existence of the adjoint in linear differential systems with discontinuous boundary conditions. Zbl 0305.34028
Brown, R. C.
1972
Competition and diffusive invasion in a noisy environment. Zbl 1216.92064
Malchow, Horst; James, Alex; Brown, Richard
2011
An Opial-type inequality with an integral boundary condition. Zbl 1153.26313
Brown, Richard C.; Plum, Michael
2005
Relative form boundedness and compactness for a second-order differential operator. Zbl 1057.34104
Brown, Richard C.; Hinton, Don B.
2004
Some function space inequalities and their application to oscillation and stability problems in differential equations. Zbl 1043.26007
Brown, Richard; Clark, Stephen; Hinton, Don
2002
Interpolation inequalities with power weights for functions of one variable. Zbl 0779.26012
Brown, Richard; Hinton, Don
1993
A weighted Hardy’s inequality and nonoscillatory differential equations. Zbl 0766.26013
Brown, R. C.; Hinton, D. B.
1992
Notes on generalized boundary value problems in Banach spaces. I: Adjoint and extension theory. Zbl 0454.47024
Brown, R. C.
1979
Generalized Green’s functions and generalized inverses for linear differential systems with Stieltjes boundary conditions. Zbl 0291.34043
Brown, R. C.
1974
Control of competitive bioinvasion. Zbl 1347.92068
Malchow, Horst; James, Alex; Brown, Richard
2013
Continuous invertibility of minimal Sturm-Liouville operators in Lebesgue spaces. Zbl 1105.34058
Brown, R. C.; Cook, J.
2006
Second order Opial inequalities in $${\mathcal L}^p$$ spaces and applications. Zbl 0981.26018
Brown, Richard; Burenkov, Victor; Clark, Steve; Hinton, Don
1999
Sufficient conditions for three weight sum inequalities in Lebesgue spaces. Zbl 0879.26053
Brown, R. C.; Hinton, D. B.; Kufner, A.
1997
Perturbation theory for a one-term weighted differential operator. Zbl 0880.34057
Anderson, T. G.; Brown, R. C.; Hinton, D. B.
1997
An interpolation inequality and applications. Zbl 0882.26008
Brown, R. C.; Hinton, D. B.
1994
Combinatorial aspects of C. A. R. Hoare’s FIND algorithm. Zbl 0752.68021
Anderson, D. H.; Brown, R.
1992
Maximum likelihood estimation of treatment effects for samples subject to regression to the mean. Zbl 0696.62267
Senn, Stephen; Brown, Richard
1989
Necessary and sufficient conditions for one variable weighted interpolation inequalities. Zbl 0627.26009
Brown, R. C.; Hinton, D. B.
1987
A factorization method for symmetric differential operators and its applications to Dirichlet inequalities and to the Dirichlet index. Zbl 0552.34014
Brown, Richard C.
1984
Duality theory for linear $$n$$-th order integro-differential operators with domain in $$L^p_m$$ determined by interface side conditions. Zbl 0505.45003
Brown, Richard C.; Tvrdy, Milan; Vejvoda, Otto
1982
Wirtinger inequalities, Dirichlet functional inequalities, and the spectral theory of linear operators and relations. Zbl 0491.26011
Brown, Richard C.
1981
Differential operators with abstract boundary conditions. Zbl 0382.47022
Brown, R. C.
1978
On minimizing the sum of squares of $$\mathcal L^2$$ norms of differential operators under constraints. Zbl 0369.34007
Brown, Richard C.; Krall, Allan M.
1977
Locally contractive dynamics in generalized integrate-and-fire neurons. Zbl 1284.37030
Jimenez, Nicolas D.; Mihalas, Stefan; Brown, Richard; Niebur, Ernst; Rubin, Jonathan
2013
Control of competitive bioinvasion. Zbl 1347.92068
Malchow, Horst; James, Alex; Brown, Richard
2013
Competition and diffusive invasion in a noisy environment. Zbl 1216.92064
Malchow, Horst; James, Alex; Brown, Richard
2011
Continuous invertibility of minimal Sturm-Liouville operators in Lebesgue spaces. Zbl 1105.34058
Brown, R. C.; Cook, J.
2006
An Opial-type inequality with an integral boundary condition. Zbl 1153.26313
Brown, Richard C.; Plum, Michael
2005
Relative form boundedness and compactness for a second-order differential operator. Zbl 1057.34104
Brown, Richard C.; Hinton, Don B.
2004
Separation and disconjugacy. Zbl 1062.34033
Brown, R. C.
2003
Some function space inequalities and their application to oscillation and stability problems in differential equations. Zbl 1043.26007
Brown, Richard; Clark, Stephen; Hinton, Don
2002
Lyapunov inequalities and their applications. Zbl 1034.34002
Brown, Richard C.; Hinton, Don B.
2000
Some separation criteria and inequalities associated with linear second order differential operators. Zbl 0982.34032
Brown, R. C.; Hinton, D. B.; Shaw, M. F.
2000
Some Opial, Lyapunov, and de la Valée Poussin inequalities with nonhomogeneous boundary conditions. Zbl 0955.26009
Brown, Richard C.; Fink, A. M.; Hinton, Don B.
2000
Two separation criteria for second order ordinary or partial differential operators. Zbl 0937.34068
Brown, R. C.; Hinton, D. B.
1999
Second order Opial inequalities in $${\mathcal L}^p$$ spaces and applications. Zbl 0981.26018
Brown, Richard; Burenkov, Victor; Clark, Steve; Hinton, Don
1999
Some embeddings of weighted Sobolev spaces on finite measure and quasibounded domains. Zbl 0932.46024
Brown, R. C.
1998
Opial’s inequality and oscillation of second order equations. Zbl 0866.34026
Brown, R. C.; Hinton, D. B.
1997
Sufficient conditions for three weight sum inequalities in Lebesgue spaces. Zbl 0879.26053
Brown, R. C.; Hinton, D. B.; Kufner, A.
1997
Perturbation theory for a one-term weighted differential operator. Zbl 0880.34057
Anderson, T. G.; Brown, R. C.; Hinton, D. B.
1997
Applications of a one-dimensional Sobolev inequality to eigenvalue problems. Zbl 0842.34083
Brown, R. C.; Hinton, D. B.; Schwabik, Š.
1996
Weighted interpolation and Hardy inequalities with some spectral theoretic applications. Zbl 0858.26010
Brown, R. C.; Hinton, D. B.
1994
An interpolation inequality and applications. Zbl 0882.26008
Brown, R. C.; Hinton, D. B.
1994
Interpolation inequalities with power weights for functions of one variable. Zbl 0779.26012
Brown, Richard; Hinton, Don
1993
Embeddings of weighted Sobolev spaces into spaces of continuous functions. Zbl 0765.46015
Brown, R. C.; Opic, B.
1992
A weighted Hardy’s inequality and nonoscillatory differential equations. Zbl 0766.26013
Brown, R. C.; Hinton, D. B.
1992
Combinatorial aspects of C. A. R. Hoare’s FIND algorithm. Zbl 0752.68021
Anderson, D. H.; Brown, R.
1992
Weighted interpolation inequalities and embeddings in $$R^ n$$. Zbl 0726.26012
Brown, R. C.; Hinton, D. B.
1990
Maximum likelihood estimation of treatment effects for samples subject to regression to the mean. Zbl 0696.62267
Senn, Stephen; Brown, Richard
1989
Weighted interpolation inequalities of sum and product form in $${\mathbb{R}}^ n$$. Zbl 0648.26008
Brown, R. C.; Hinton, D. B.
1988
Necessary and sufficient conditions for one variable weighted interpolation inequalities. Zbl 0627.26009
Brown, R. C.; Hinton, D. B.
1987
Sufficient conditions for weighted inequalities of sum form. Zbl 0587.26011
Brown, R. C.; Hinton, D. B.
1985
A factorization method for symmetric differential operators and its applications to Dirichlet inequalities and to the Dirichlet index. Zbl 0552.34014
Brown, Richard C.
1984
Notes on generalized boundary value problems in Banach spaces. II: Infinite dimensional extension theory. Zbl 0496.47002
Brown, R. C.
1982
Duality theory for linear $$n$$-th order integro-differential operators with domain in $$L^p_m$$ determined by interface side conditions. Zbl 0505.45003
Brown, Richard C.; Tvrdy, Milan; Vejvoda, Otto
1982
Wirtinger inequalities, Dirichlet functional inequalities, and the spectral theory of linear operators and relations. Zbl 0491.26011
Brown, Richard C.
1981
Generalized boundary value problems with abstract side conditions and their adjoints. I. Zbl 0454.47025
Brown, R. C.; Tvrdy, M.
1980
Notes on generalized boundary value problems in Banach spaces. I: Adjoint and extension theory. Zbl 0454.47024
Brown, R. C.
1979
Differential operators with abstract boundary conditions. Zbl 0382.47022
Brown, R. C.
1978
n-th order ordinary differential systems under Stieltjes boundary conditions. Zbl 0369.34006
Brown, Richard C.; Krall, Allan M.
1977
On minimizing the sum of squares of $$\mathcal L^2$$ norms of differential operators under constraints. Zbl 0369.34007
Brown, Richard C.; Krall, Allan M.
1977
The operator theory of generalized boundary value problems. Zbl 0338.34008
Brown, R. C.
1976
Adjoint domains and generalized splines. Zbl 0309.41014
Brown, R. C.
1975
Duality theory for $$n$$th order differential operators under Stieltjes boundary conditions. Zbl 0322.34011
Brown, R. C.
1975
Duality theory for N-th order differential operators under Stieltjes boundary conditions. II: Nonsmooth coefficients and nonsingular measures. Zbl 0316.47027
Brown, R. C.
1975
The operator theory of generalized boundary. Zbl 0302.34017
Brown, R. C.
1975
Ordinary differential operators under Stieltjes boundary conditions. Zbl 0295.34010
Brown, Richard C.; Krall, Allan M.
1974
Generalized Green’s functions and generalized inverses for linear differential systems with Stieltjes boundary conditions. Zbl 0291.34043
Brown, R. C.
1974
Adjoints of multipoint-integral boundary value problems. Zbl 0252.34020
Brown, R. C.; Krall, Allan M.
1973
Eigenfunction expansions under multipoint-integral boundary conditions. Zbl 0276.34021
Brown, R. C.; Green, Gary B.; Krall, A. M.
1973
The existence of the adjoint in linear differential systems with discontinuous boundary conditions. Zbl 0305.34028
Brown, R. C.
1972
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#### Cited by 223 Authors

 16 Brown, Richard Clark 10 Agarwal, Ravi P. 8 Özbekler, Abdullah 7 Samet, Bessem 6 Jleli, Mohamed 6 Krall, Allan M. 5 Hinton, Don Barker 5 Wang, Youyu 4 Atia, Hany A. 4 Kirane, Mokhtar 4 Rodríguez García, José Manuel 3 Almenar, Pedro 3 Çakmak, Devrim 3 Chlebicka, Iwona 3 Chua, Seng-Kee 3 Dhar, Sougata 3 Ferreira, Rui A. C. 3 Ji, Shuguan 3 Jódar Sanchez, Lucas Antonio 3 Kałamajska, Agnieszka 3 Lee, Sung-Jong 3 Portilla, Ana 3 Quintana, Yamilet 3 Regensburger, Georg 3 Rosenkranz, Markus 3 Touris, Eva 3 Tvrdý, Milan 3 Wang, Qichao 2 Bai, Chuanzhi 2 Cabrera, Ignacio José 2 Evans, William Desmond 2 Granados, Albert 2 Hurri-Syrjānen, Ritva 2 Kaymakçalan, Billur 2 Kelly, Jessica Stewart 2 Knowles, Ian G. 2 Kong, Qingkai 2 Malchow, Horst 2 Ojika, Takeo 2 Pavel, Nicolae H. 2 Rubin, Jonathan E. 2 Sadarangani, Kishin B. 2 Saker, Samir H. 2 Signerska-Rynkowska, Justyna 2 Tiryaki, Aydin 2 Touboul, Jonathan David 2 Vähäkangas, Antti V. 2 Vidal, Alexandre 2 Wei, Guangsheng 2 Welsh, Wayne 2 Zayed, Elsayed M. E. 2 Zhang, Meirong 1 Ahmad, Bashir 1 Alisoy, G. T. 1 Alsedà, Lluís 1 Assanova, Anar Turmaganbetkyzy 1 Auger, Pierre M. 1 Ayazoglu (Mashiyev), Rabil A. 1 Bachar, Imed 1 Bai, Yongzhen 1 Barbatis, Gerassimos 1 Barbu, Viorel 1 Barrett, Louis C. 1 Basua, Debananda 1 Beardmore, Robert Eric 1 Behncke, Horst 1 Benchohra, Mouffak 1 Benzinger, Harold E. 1 Biles, Daniel C. 1 Breiten, Tobias 1 Buchberger, Bruno 1 Burenkov, Viktor Ivanovich 1 Burns, John A. 1 Cañada Villar, Antonio 1 Canavati, Jose Angel 1 Carton-Lebrun, Christiane 1 Cetin, Erbil 1 Chan, WaiLam 1 Chartrand, Thomas 1 Chen, Quande 1 Chen, Shaozhu 1 Chen, Yasong 1 Chernyavskaya, N. A. 1 Choczewski, Tomasz 1 Clark, Stephen L. 1 Clark, Steve 1 Collier Melescue, Suzanne 1 Davies, Edward Brian 1 de Nápoli, Pablo Luis 1 Duong Minh Duc 1 Dzhobulaeva, Zh. K. 1 Edmunds, David Eric 1 Eltayeb, Hassan 1 Èneeva, Liana M. 1 Florkiewicz, Bronisław 1 Freiling, Gerhard 1 Frymark, Dale 1 Galaz-Fontes, Fernando 1 Goldman, Mark S. 1 Green, Gary Brian ...and 123 more Authors
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#### Cited in 74 Serials

 18 Journal of Mathematical Analysis and Applications 11 Applied Mathematics and Computation 9 Proceedings of the American Mathematical Society 7 Journal of Differential Equations 6 Czechoslovak Mathematical Journal 6 Journal of Computational and Applied Mathematics 5 Journal of Functional Analysis 5 Mathematische Nachrichten 5 Applied Mathematics Letters 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Fractional Calculus & Applied Analysis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Approximation Theory 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Mathematical Inequalities 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Journal of Optimization Theory and Applications 2 Theoretical Population Biology 2 Transactions of the American Mathematical Society 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Discrete Dynamics in Nature and Society 2 Central European Journal of Mathematics 2 Journal of Nonlinear Science and Applications 2 Differential Equations and Applications 2 Journal of Function Spaces 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Journal of Geometry and Physics 1 Automatica 1 Biometrics 1 Colloquium Mathematicum 1 Illinois Journal of Mathematics 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Journal of Symbolic Computation 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 SIAM Review 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Georgian Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Difference Equations and Applications 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Novi Sad Journal of Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Analysis (München) 1 Communications in Nonlinear Science and Numerical Simulation 1 RAIRO. Theoretical Informatics and Applications 1 Lobachevskii Journal of Mathematics 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Advances in Difference Equations 1 Mathematical Modelling of Natural Phenomena 1 Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
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#### Cited in 29 Fields

 95 Ordinary differential equations (34-XX) 38 Partial differential equations (35-XX) 37 Real functions (26-XX) 29 Operator theory (47-XX) 21 Functional analysis (46-XX) 8 Biology and other natural sciences (92-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Systems theory; control (93-XX) 3 Integral equations (45-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 3 Fluid mechanics (76-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)