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## Brydges, David C.

Compute Distance To:
 Author ID: brydges.david-c Published as: Brydges, David C.; Brydges, David; Brydges, D.; Brydges, D. C. External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 51 Publications since 1978, including 2 Books
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#### Co-Authors

 6 single-authored 16 Slade, Gordon 7 Imbrie, John Z. 6 Bauerschmidt, Roland 5 Dimock, Jonathan 5 Hurd, Thomas R. 3 Mitter, Pronob K. 2 Keller, Georg 2 Martin, Philippe-André 2 Spencer, Thomas C. 1 Balaban, Tadeusz 1 Bolthausen, Erwin 1 Bovier, Anton 1 Coja-Oghlan, Amin 1 Dahlqvist, Antoine 1 Evans, Steven Neil 1 Federbush, Paul G. 1 Guadagni, Gianluca 1 Ioffe, Dmitry 1 Jaffe, Arthur Michael 1 König, Wolfgang Dieter 1 Lawler, Gregory Francis 1 Maya, Ismael Muñoz 1 Scoppola, Benedetto 1 Talarczyk, Anna 1 van der Hofstad, Remco W. 1 Yau, Horng-Tzer
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#### Serials

 13 Journal of Statistical Physics 11 Communications in Mathematical Physics 2 The Annals of Probability 2 Lecture Notes in Mathematics 1 Helvetica Physica Acta 1 Journal of Mathematical Physics 1 Canadian Journal of Mathematics 1 Journal of Functional Analysis 1 Probability Theory and Related Fields 1 Journal of Theoretical Probability 1 Annals of Physics 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Annals of Mathematics. Second Series 1 Annales Henri Poincaré 1 Probability Surveys
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#### Fields

 39 Statistical mechanics, structure of matter (82-XX) 30 Probability theory and stochastic processes (60-XX) 17 Quantum theory (81-XX) 6 Functional analysis (46-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

47 Publications have been cited 666 times in 316 Documents Cited by Year
Self-avoiding walk in 5 or more dimensions. Zbl 0575.60099
Brydges, David; Spencer, Thomas
1985
Grad $$\phi$$ perturbations of massless Gaussian fields. Zbl 0705.60101
Brydges, David; Yau, Horng-Tzer
1990
Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis. Zbl 1318.60049
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2015
Finite range decomposition of Gaussian processes. Zbl 1157.82304
Brydges, David C.; Guadagni, G.; Mitter, P. K.
2004
Lectures on the renormalisation group. Zbl 1186.82033
Brydges, David C.
2009
Scaling limits and critical behaviour of the 4-dimensional $$n$$-component $$|\varphi|^4$$ spin model. Zbl 1308.82026
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2014
A short course on cluster expansions. Zbl 0659.60136
Brydges, David C.
1986
A renormalisation group method. III. Perturbative analysis. Zbl 1319.82008
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2015
Self-avoiding walk on a hierarchical lattice in four dimensions. Zbl 0742.60067
Brydges, David; Evans, Steven N.; Imbrie, John Z.
1992
A renormalisation group method. V. A single renormalisation group step. Zbl 1317.82016
Brydges, David C.; Slade, Gordon
2015
Functional integral representations for self-avoiding walk. Zbl 1193.82014
Brydges, David C.; Imbrie, John Z.; Slade, Gordon
2009
Critical two-point function of the 4-dimensional weakly self-avoiding walk. Zbl 1320.82031
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2015
A renormalisation group method. I. Gaussian integration and normed algebras. Zbl 1317.82013
Brydges, David C.; Slade, Gordon
2015
Critical $$(\Phi^4)_{3,\epsilon}$$. Zbl 1053.81065
Brydges, D. C.; Mitter, P. K.; Scoppola, B.
2003
Coulomb systems at low density: a review. Zbl 1080.82503
Brydges, David C.; Martin, Ph. A.
1999
Branched polymers and dimensional reduction. Zbl 1140.82314
Brydges, David C.; Imbrie, John Z.
2003
A renormalisation group method. II. Approximation by local polynomials. Zbl 1317.82014
Brydges, David C.; Slade, Gordon
2015
A renormalisation group method. IV. Stability analysis. Zbl 1317.82015
Brydges, David C.; Slade, Gordon
2015
Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation. Zbl 0867.35090
Brydges, David C.; Slade, Gordon
1996
The diffusive phase of a model of self-interacting walks. Zbl 0832.60096
Brydges, D. C.; Slade, G.
1995
A non-Gaussian fixed point for $$\phi^4$$ in $$4-\epsilon$$ dimensions. Zbl 0924.46062
Brydges, D.; Dimock, J.; Hurd, T. R.
1998
Structural stability of a dynamical system near a non-hyperbolic fixed point. Zbl 1347.37041
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2015
Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher. Zbl 1230.82028
Brydges, David; Slade, Gordon
2011
The mass gap for Higgs models on a unit lattice. Zbl 0583.46060
Balaban, Tadeusz; Imbrie, John; Jaffe, Arthur; Brydges, David
1984
The short distance behavior of $$(\Phi^ 4_ 3)$$. Zbl 0858.60095
Brydges, D.; Dimock, J.; Hurd, T. R.
1995
Finite range decompositions of positive-definite functions. Zbl 1097.43002
Brydges, David; Talarczyk, Anna
2006
Green’s function for a hierarchical self-avoiding walk in four dimensions. Zbl 1087.82010
Brydges, David C.; Imbrie, John Z.
2003
Introduction to a renormalisation group method. Zbl 07103768
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2019
A lower bound for the mass of a random Gaussian lattice. Zbl 0381.60059
Brydges, David; Federbush, Paul
1978
Joint density for the local times of continuous-time Markov chains. Zbl 1127.60076
Brydges, David; van der Hofstad, Remco; König, Wolfgang
2007
Dimensional reduction formulas for branched polymer correlation functions. Zbl 1035.82017
Brydges, David C.; Imbrie, John Z.
2003
End-to-end distance from the Green’s function for a hierarchical self-avoiding walk in four dimensions. Zbl 1036.82011
Brydges, David C.; Imbrie, John Z.
2003
Fluctuation estimates for sub-quadratic gradient field actions. Zbl 1278.82057
Brydges, David; Spencer, Thomas
2012
An application of Berezin integration to large deviations. Zbl 0726.60022
Brydges, David C.; Maya, Ismael Muñoz
1991
Correlation functions of general observables in dipole-type systems. I: Accurate upper bounds. Zbl 0852.60109
Brydges, David C.; Keller, Georg
1994
Localization and decay of correlations for a pinned lattice free field in dimension two. Zbl 1371.82042
Bolthausen, Erwin; Brydges, David
2001
The strong interaction limit of continuous-time weakly self-avoiding walk. Zbl 1246.82042
Brydges, David C.; Dahlqvist, Antoine; Slade, Gordon
2012
On the convergence to the continuum of finite range lattice covariances. Zbl 1252.82013
Brydges, David C.; Mitter, P. K.
2012
Estimates on renormalization group transformations. Zbl 0914.60078
Brydges, D.; Dimock, J.; Hurd, T. R.
1998
Mayer expansions and the Hamilton-Jacobi equation. II: Fermions, dimensional reduction formulas. Zbl 1086.81526
Brydges, D. C.; Wright, J. D.
1988
Weak perturbations of Gaussian measures. Zbl 0812.60098
Brydges, D.; Dimock, J.; Hurd, T. R.
1994
Weak perturbations of the massless Gaussian measure. Zbl 0829.60035
Brydges, David
1995
A collapse transition for self-attracting walks. Zbl 0847.60095
Brydges, David C.; Slade, Gordon
1994
Erratum: Mayer expansions and the Hamiltonian-Jacobi equation. II: Fermions, dimensional reduction formulas. Zbl 1156.81426
Wright, J. D.; Brydges, David
1999
The renormalization group and self-avoiding walk. Zbl 1432.82015
Brydges, David
2015
Expansions in statistical mechanics as part of the theory of partial differential equations. Zbl 0621.60119
Brydges, D. C.
1987
Absence of Debye screening in the quantum Coulomb system. Zbl 0839.76097
Brydges, David C.; Keller, Georg
1994
Introduction to a renormalisation group method. Zbl 07103768
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2019
Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis. Zbl 1318.60049
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2015
A renormalisation group method. III. Perturbative analysis. Zbl 1319.82008
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2015
A renormalisation group method. V. A single renormalisation group step. Zbl 1317.82016
Brydges, David C.; Slade, Gordon
2015
Critical two-point function of the 4-dimensional weakly self-avoiding walk. Zbl 1320.82031
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2015
A renormalisation group method. I. Gaussian integration and normed algebras. Zbl 1317.82013
Brydges, David C.; Slade, Gordon
2015
A renormalisation group method. II. Approximation by local polynomials. Zbl 1317.82014
Brydges, David C.; Slade, Gordon
2015
A renormalisation group method. IV. Stability analysis. Zbl 1317.82015
Brydges, David C.; Slade, Gordon
2015
Structural stability of a dynamical system near a non-hyperbolic fixed point. Zbl 1347.37041
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2015
The renormalization group and self-avoiding walk. Zbl 1432.82015
Brydges, David
2015
Scaling limits and critical behaviour of the 4-dimensional $$n$$-component $$|\varphi|^4$$ spin model. Zbl 1308.82026
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2014
Fluctuation estimates for sub-quadratic gradient field actions. Zbl 1278.82057
Brydges, David; Spencer, Thomas
2012
The strong interaction limit of continuous-time weakly self-avoiding walk. Zbl 1246.82042
Brydges, David C.; Dahlqvist, Antoine; Slade, Gordon
2012
On the convergence to the continuum of finite range lattice covariances. Zbl 1252.82013
Brydges, David C.; Mitter, P. K.
2012
Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher. Zbl 1230.82028
Brydges, David; Slade, Gordon
2011
Lectures on the renormalisation group. Zbl 1186.82033
Brydges, David C.
2009
Functional integral representations for self-avoiding walk. Zbl 1193.82014
Brydges, David C.; Imbrie, John Z.; Slade, Gordon
2009
Joint density for the local times of continuous-time Markov chains. Zbl 1127.60076
Brydges, David; van der Hofstad, Remco; König, Wolfgang
2007
Finite range decompositions of positive-definite functions. Zbl 1097.43002
Brydges, David; Talarczyk, Anna
2006
Finite range decomposition of Gaussian processes. Zbl 1157.82304
Brydges, David C.; Guadagni, G.; Mitter, P. K.
2004
Critical $$(\Phi^4)_{3,\epsilon}$$. Zbl 1053.81065
Brydges, D. C.; Mitter, P. K.; Scoppola, B.
2003
Branched polymers and dimensional reduction. Zbl 1140.82314
Brydges, David C.; Imbrie, John Z.
2003
Green’s function for a hierarchical self-avoiding walk in four dimensions. Zbl 1087.82010
Brydges, David C.; Imbrie, John Z.
2003
Dimensional reduction formulas for branched polymer correlation functions. Zbl 1035.82017
Brydges, David C.; Imbrie, John Z.
2003
End-to-end distance from the Green’s function for a hierarchical self-avoiding walk in four dimensions. Zbl 1036.82011
Brydges, David C.; Imbrie, John Z.
2003
Localization and decay of correlations for a pinned lattice free field in dimension two. Zbl 1371.82042
Bolthausen, Erwin; Brydges, David
2001
Coulomb systems at low density: a review. Zbl 1080.82503
Brydges, David C.; Martin, Ph. A.
1999
Erratum: Mayer expansions and the Hamiltonian-Jacobi equation. II: Fermions, dimensional reduction formulas. Zbl 1156.81426
Wright, J. D.; Brydges, David
1999
A non-Gaussian fixed point for $$\phi^4$$ in $$4-\epsilon$$ dimensions. Zbl 0924.46062
Brydges, D.; Dimock, J.; Hurd, T. R.
1998
Estimates on renormalization group transformations. Zbl 0914.60078
Brydges, D.; Dimock, J.; Hurd, T. R.
1998
Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation. Zbl 0867.35090
Brydges, David C.; Slade, Gordon
1996
The diffusive phase of a model of self-interacting walks. Zbl 0832.60096
Brydges, D. C.; Slade, G.
1995
The short distance behavior of $$(\Phi^ 4_ 3)$$. Zbl 0858.60095
Brydges, D.; Dimock, J.; Hurd, T. R.
1995
Weak perturbations of the massless Gaussian measure. Zbl 0829.60035
Brydges, David
1995
Correlation functions of general observables in dipole-type systems. I: Accurate upper bounds. Zbl 0852.60109
Brydges, David C.; Keller, Georg
1994
Weak perturbations of Gaussian measures. Zbl 0812.60098
Brydges, D.; Dimock, J.; Hurd, T. R.
1994
A collapse transition for self-attracting walks. Zbl 0847.60095
Brydges, David C.; Slade, Gordon
1994
Absence of Debye screening in the quantum Coulomb system. Zbl 0839.76097
Brydges, David C.; Keller, Georg
1994
Self-avoiding walk on a hierarchical lattice in four dimensions. Zbl 0742.60067
Brydges, David; Evans, Steven N.; Imbrie, John Z.
1992
An application of Berezin integration to large deviations. Zbl 0726.60022
Brydges, David C.; Maya, Ismael Muñoz
1991
Grad $$\phi$$ perturbations of massless Gaussian fields. Zbl 0705.60101
Brydges, David; Yau, Horng-Tzer
1990
Mayer expansions and the Hamilton-Jacobi equation. II: Fermions, dimensional reduction formulas. Zbl 1086.81526
Brydges, D. C.; Wright, J. D.
1988
Expansions in statistical mechanics as part of the theory of partial differential equations. Zbl 0621.60119
Brydges, D. C.
1987
A short course on cluster expansions. Zbl 0659.60136
Brydges, David C.
1986
Self-avoiding walk in 5 or more dimensions. Zbl 0575.60099
Brydges, David; Spencer, Thomas
1985
The mass gap for Higgs models on a unit lattice. Zbl 0583.46060
Balaban, Tadeusz; Imbrie, John; Jaffe, Arthur; Brydges, David
1984
A lower bound for the mass of a random Gaussian lattice. Zbl 0381.60059
Brydges, David; Federbush, Paul
1978
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#### Cited by 322 Authors

 30 Slade, Gordon 17 Brydges, David C. 13 Bauerschmidt, Roland 13 van der Hofstad, Remco W. 11 Dimock, Jonathan 10 Hara, Takashi 10 Rivasseau, Vincent 8 Helmuth, Tyler 8 Procacci, Aldo 7 Kennedy, Tom 7 Sakai, Akira 6 Abdesselam, Abdelmalek 6 Balaban, Tadeusz 5 Cotar, Codina 5 Duminil-Copin, Hugo 5 Fröhlich, Jürg Martin 5 Hammond, Alan 5 König, Wolfgang Dieter 5 Kozma, Gady 5 Lohmann, Martin 5 Mitter, Pronob K. 5 O’Carroll, Michael L. 5 Pereira, Emmanuel A. 4 den Hollander, Frank 4 Deuschel, Jean-Dominique 4 Hurd, Thomas R. 4 Imbrie, John Z. 4 Lawler, Gregory Francis 4 Magnen, Jacques 4 Mastropietro, Vieri 4 Sokal, Alan D. 3 Alastuey, Angel 3 Alkhimov, V. I. 3 Benedetti, Dario 3 Bolthausen, Erwin 3 Borgs, Christian 3 Chayes, Jennifer Tour 3 Chayes, Lincoln 3 Conlon, Joseph G. 3 Federbush, Paul G. 3 Fernández, Roberto 3 Giuliani, Alessandro 3 Gubinelli, Massimiliano 3 Heydenreich, Markus 3 Lebowitz, Joel Louis 3 Rychkov, Slava 3 Salmhofer, Manfred 3 Scoppola, Benedetto 3 Swan, Andrew W. 3 Thomann, Laurent 3 Wallace, Benjamin C. 2 Abraham, Douglas B. 2 Albeverio, Sergio A. 2 Andres, Sebastian 2 Asselah, Amine 2 Becker, Mathias 2 Biskup, Marek 2 Bourgain, Jean 2 Buchholz, Simon 2 Castell, Fabienne 2 Chatterjee, Sourav 2 Chen, Lung-Chi 2 Dauxois, Thierry 2 Fresta, Luca 2 Friedrich, Manuel 2 Garcia, Nancy L. 2 Gurau, Razvan 2 Harribey, Sabine 2 Hulshof, Tim 2 Hutchcroft, Tom 2 Jaffe, Arthur Michael 2 Knowles, Antti 2 Kreutz, Leonard C. 2 Külske, Christof 2 Lacoin, Hubert 2 Marchetti, Domingos H. U. 2 Marchetti, Pieralberto A. 2 Martin, Philippe-André 2 Oh, Tadahiro 2 Pokorny, Martin 2 Porta, Marcello 2 Schlein, Benjamin 2 Slowik, Martin 2 Sohinger, Vedran 2 Spencer, Thomas C. 2 Thomas, Lawrence E. 2 Tomberg, Alexandre 2 von Soosten, Per 2 Warzel, Simone 2 Yang, Wei-Shih 2 Yau, Horng-Tzer 2 Yuhjtman, Sergio A. 1 Adams, Stefan 1 Aizenman, Michael 1 Antinucci, Giovanni 1 Antonyuk, Oleksandr Val. 1 Antonyuk, Oleksandra Viktorivna 1 Arnone, Stefano 1 Athreya, Siva R. 1 Avena, Luca ...and 222 more Authors
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#### Cited in 72 Serials

 67 Communications in Mathematical Physics 63 Journal of Statistical Physics 18 Journal of Mathematical Physics 17 The Annals of Probability 15 Probability Theory and Related Fields 13 Annales Henri Poincaré 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Journal of High Energy Physics 5 Stochastic Processes and their Applications 4 Letters in Mathematical Physics 4 Advances in Applied Mathematics 4 Annales de l’Institut Henri Poincaré. Physique Théorique 3 International Journal of Modern Physics A 3 Nuclear Physics. B 3 Journal of Theoretical Probability 3 The Annals of Applied Probability 3 Annals of Physics 2 Communications on Pure and Applied Mathematics 2 Physics Reports 2 Theoretical and Mathematical Physics 2 Reviews in Mathematical Physics 2 Acta Mathematica 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of Combinatorial Theory. Series A 2 Journal of Functional Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Combinatorics, Probability and Computing 2 Electronic Communications in Probability 2 Mathematical Physics, Analysis and Geometry 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Physics A: Mathematical and Theoretical 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 International Journal of Modern Physics B 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Physics Letters. A 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Illinois Journal of Mathematics 1 Journal of Applied Probability 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 Statistica Neerlandica 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Discrete & Computational Geometry 1 Journal of the American Mathematical Society 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Annals of Mathematics. Second Series 1 International Journal of Applied Mathematics and Computer Science 1 Living Reviews in Relativity 1 Brazilian Journal of Probability and Statistics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Groups, Geometry, and Dynamics 1 Advances in Mathematical Physics 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 International Journal of Stochastic Analysis 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Actes des Rencontres du C.I.R.M.
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#### Cited in 39 Fields

 203 Statistical mechanics, structure of matter (82-XX) 145 Probability theory and stochastic processes (60-XX) 105 Quantum theory (81-XX) 38 Partial differential equations (35-XX) 19 Combinatorics (05-XX) 13 Functional analysis (46-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Differential geometry (53-XX) 4 Operator theory (47-XX) 4 Statistics (62-XX) 2 Algebraic geometry (14-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

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