## Breiman, Leo

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 Author ID: breiman.leo Published as: Breiman, Leo; Breiman, L. External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 62 Publications since 1957, including 6 Books Biographic References: 9 Publications Co-Authors: 21 Co-Authors with 19 Joint Publications 356 Co-Co-Authors
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### Co-Authors

 43 single-authored 4 Blackwell, David Harold 4 Friedman, Jerome Harold 3 Thomasian, A. J. 2 Cutler, Adele 2 Meisel, William S. 2 Stone, Charles Joel 1 Bell, C. B. 1 Bickel, Peter John 1 Blashfield, Roger K. 1 Dunn, Olive Jean 1 Freedman, David A. 1 Gnanadesikan, Ramanathan 1 Kooperberg, Charles 1 Le Cam, Lucien Marie 1 Olshen, Richard Allen 1 Peters, Steve 1 Purcell, Edward 1 Schwartz, Lorraine 1 Tsur, Yacov 1 Wurtele, Zivia S. 1 Zemel, Amos
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### Serials

 16 Annals of Mathematical Statistics 6 Machine Learning 4 The Annals of Statistics 4 Journal of the American Statistical Association 4 Technometrics 2 The Annals of Probability 2 Statistical Science 1 IEEE Transactions on Information Theory 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Illinois Journal of Mathematics 1 International Statistical Review 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Journal of the Royal Statistical Society. Series B 1 Journal of Statistical Computation and Simulation 1 Computational Statistics and Data Analysis 1 Mathematical Programming. Series A. Series B 1 Naval Research Logistics Quarterly 1 Bulletin de l’Institut International de Statistique 1 Classics in Applied Mathematics
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### Fields

 25 Statistics (62-XX) 9 Probability theory and stochastic processes (60-XX) 7 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 2 Numerical analysis (65-XX) 2 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

59 Publications have been cited 4,912 times in 3,938 Documents Cited by Year
Classification and regression trees. Zbl 0541.62042
Breiman, Leo; Friedman, Jerome H.; Olshen, Richard A.; Stone, Charles J.
1984
Random forests. Zbl 1007.68152
Breiman, Leo
2001
Bagging predictors. Zbl 0858.68080
Breiman, Leo
1996
Probability. Zbl 0174.48801
Breiman, Leo
1968
Estimating optimal transformations for multiple regression and correlation. Zbl 0594.62044
Breiman, Leo; Friedman, Jerome H.
1985
Heuristics of instability and stabilization in model selection. Zbl 0867.62055
Breiman, Leo
1996
On some limit theorems similar to the arc-sin law. Zbl 0147.37004
Breiman, L.
1965
Better subset regression using the nonnegative garrote. Zbl 0862.62059
Breiman, Leo
1995
Arcing classifiers. (With discussion). Zbl 0934.62064
Breiman, Leo
1998
Statistical modeling: The two cultures. (With comments and a rejoinder). Zbl 1059.62505
Breiman, Leo
2001
Probability. Zbl 0753.60001
Breiman, Leo
1992
Optimal gambling systems for favorable games. Zbl 0109.36803
Breiman, L.
1961
Variable kernel estimates of multivariate densities. Zbl 0379.62023
Breiman, Leo; Meisel, William; Purcell, Edward
1977
Predicting multivariate responses in multiple linear regression. Zbl 0897.62068
Breiman, Leo; Friedman, Jerome H.
1997
Stacked regressions. Zbl 0849.68104
Breiman, Leo
1996
The individual ergodic theorem of information theory. Zbl 0078.31801
Breiman, Leo
1957
Hinging hyperplanes for regression, classification, and function approximation. Zbl 0793.62031
Breiman, Leo
1993
A deterministic algorithm for global optimization. Zbl 0807.90103
1993
Sums of functions of nearest neighbor distances, moment bounds, limit theorems and a goodness of fit test. Zbl 0502.62045
Bickel, Peter J.; Breiman, Leo
1983
The strong law of large numbers for a class of Markov chains. Zbl 0104.11901
Breiman, Leo
1960
The little bootstrap and other methods for dimensionality selection in regression: X-fixed prediction error. Zbl 0850.62518
Breiman, Leo
1992
Archetypal analysis. Zbl 0804.62002
1994
How many variables should be entered in a regression equation? Zbl 0513.62068
Breiman, L.; Freedman, D.
1983
Using iterated bagging to debias regressions. Zbl 1052.68109
Breiman, Leo
2001
Discriminant analysis and clustering. Panel on discriminant analysis, classification, and clustering. Zbl 0955.62588
Gnanadesikan, Ramanathan; Blashfield, Roger K.; Breiman, Leo; Dunn, Olive J.; Friedman, Jerome H.
1989
Robust confidence bounds for extreme upper quantiles. Zbl 0775.62117
Breiman, Leo; Stone, Charles J.; Kooperberg, Charles
1990
Investment policies for expanding businesses optimal in a longrun sense. Zbl 0114.12401
Breiman, L.
1960
The $$\Pi$$ method for estimating multivariate functions from noisy data. (With discussion). Zbl 0742.62037
Breiman, Leo
1991
Population theory for boosting ensembles. Zbl 1105.62308
Breiman, Leo
2004
A delicate law of the iterated logarithm for non-decreasing stable processes. Zbl 0192.55401
Breiman, L.
1969
On the tail behavior of sums of independent random variables. Zbl 0339.60050
Breiman, Leo
1967
The capacities of certain channel classes under random coding. Zbl 0119.13805
Blackwell, D.; Breiman, L.; Thomasian, A. J.
1960
Technical note: Some properties of splitting criteria. Zbl 0849.68095
Breiman, Leo
1996
Consistent estimates and zero-one sets. Zbl 0223.62029
Breiman, Leo; Le Cam, Lucien; Schwartz, Lorraine
1964
First exit times from a square root boundary. Zbl 0241.60035
Breiman, Leo
1967
The capacity of a class of channels. Zbl 0104.11604
Blackwell, David; Breiman, Leo; Thomasian, A. J.
1959
Randomizing outputs to increase prediction accuracy. Zbl 0962.68143
Breiman, Leo
2000
Fitting additive models to regression data. Diagnostics and alternative views. Zbl 0937.62613
Breiman, Leo
1993
Correction to ”The individual ergodic theorem of information theory”. Zbl 0092.34001
Breiman, Leo
1960
On achieving channel capacity in finite-memory channels. Zbl 0094.12605
Breiman, Leo
1960
Stopping-rule problems. Zbl 0192.25605
Breiman, L.
1964
The Poisson tendency in traffic distribution. Zbl 0117.13701
Breiman, L.
1963
Comparing automatic smoothers (a public service enterprise). Zbl 0775.62089
Breiman, Leo; Peters, Steve
1992
Statistics: With a view toward applications. Zbl 0289.62001
Breiman, Leo
1973
Probability and stochastic processes: With a view toward applications. Zbl 0246.60033
Breiman, Leo
1969
Correction to ’A delicate law of the iterated logarithm for non- decreasing stable processes’. Zbl 0207.48601
Breiman, L.
1970
On the completeness of order statistics. Zbl 0101.12201
Bell, C. B.; Blackwell, David; Breiman, Leo
1960
General estimates of the intrinsic variability of data in nonlinear regression models. Zbl 0336.62069
Breiman, L.; Meisel, W. S.
1976
Convergence properties of a learning algorithm. Zbl 0125.09904
Breiman, L.; Wurtele, Z. S.
1964
On some probability distributions occurring in traffic flow. Zbl 0115.13404
Breiman, L.
1962
Proof of Shannon’s transmission theorem for finite-state indecomposable channels. Zbl 0096.10901
Blackwell, David; Breiman, Leo; Thomasian, A. J.
1958
Combining predictors. Zbl 0932.68073
Breiman, L.
1999
On a simple estimation procedure for censored regression models with known error distributions. Zbl 0790.62026
Breiman, Leo; Tsur, Yacov; Zemel, Amos
1993
On transient Markov chains with application to the uniqueness problem for Markov processes. Zbl 0078.31703
Breiman, Leo
1957
Transient atomic Markov chains with a denumerable number of states. Zbl 0087.13503
Breiman, Leo
1958
Bias-variance, regularization, instability and stabilization. Zbl 0927.62069
Breiman, Leo
1999
A note on minimax filtering. Zbl 0265.60042
Breiman, Leo
1973
An elementary theorem concerning stationary ergodic processes. Zbl 0107.34804
Breiman, L.
1958
Nail finders, edifices, and Oz. Zbl 1373.62019
Breiman, Leo
1985
Population theory for boosting ensembles. Zbl 1105.62308
Breiman, Leo
2004
Random forests. Zbl 1007.68152
Breiman, Leo
2001
Statistical modeling: The two cultures. (With comments and a rejoinder). Zbl 1059.62505
Breiman, Leo
2001
Using iterated bagging to debias regressions. Zbl 1052.68109
Breiman, Leo
2001
Randomizing outputs to increase prediction accuracy. Zbl 0962.68143
Breiman, Leo
2000
Combining predictors. Zbl 0932.68073
Breiman, L.
1999
Bias-variance, regularization, instability and stabilization. Zbl 0927.62069
Breiman, Leo
1999
Arcing classifiers. (With discussion). Zbl 0934.62064
Breiman, Leo
1998
Predicting multivariate responses in multiple linear regression. Zbl 0897.62068
Breiman, Leo; Friedman, Jerome H.
1997
Bagging predictors. Zbl 0858.68080
Breiman, Leo
1996
Heuristics of instability and stabilization in model selection. Zbl 0867.62055
Breiman, Leo
1996
Stacked regressions. Zbl 0849.68104
Breiman, Leo
1996
Technical note: Some properties of splitting criteria. Zbl 0849.68095
Breiman, Leo
1996
Better subset regression using the nonnegative garrote. Zbl 0862.62059
Breiman, Leo
1995
Archetypal analysis. Zbl 0804.62002
1994
Hinging hyperplanes for regression, classification, and function approximation. Zbl 0793.62031
Breiman, Leo
1993
A deterministic algorithm for global optimization. Zbl 0807.90103
1993
Fitting additive models to regression data. Diagnostics and alternative views. Zbl 0937.62613
Breiman, Leo
1993
On a simple estimation procedure for censored regression models with known error distributions. Zbl 0790.62026
Breiman, Leo; Tsur, Yacov; Zemel, Amos
1993
Probability. Zbl 0753.60001
Breiman, Leo
1992
The little bootstrap and other methods for dimensionality selection in regression: X-fixed prediction error. Zbl 0850.62518
Breiman, Leo
1992
Comparing automatic smoothers (a public service enterprise). Zbl 0775.62089
Breiman, Leo; Peters, Steve
1992
The $$\Pi$$ method for estimating multivariate functions from noisy data. (With discussion). Zbl 0742.62037
Breiman, Leo
1991
Robust confidence bounds for extreme upper quantiles. Zbl 0775.62117
Breiman, Leo; Stone, Charles J.; Kooperberg, Charles
1990
Discriminant analysis and clustering. Panel on discriminant analysis, classification, and clustering. Zbl 0955.62588
Gnanadesikan, Ramanathan; Blashfield, Roger K.; Breiman, Leo; Dunn, Olive J.; Friedman, Jerome H.
1989
Estimating optimal transformations for multiple regression and correlation. Zbl 0594.62044
Breiman, Leo; Friedman, Jerome H.
1985
Nail finders, edifices, and Oz. Zbl 1373.62019
Breiman, Leo
1985
Classification and regression trees. Zbl 0541.62042
Breiman, Leo; Friedman, Jerome H.; Olshen, Richard A.; Stone, Charles J.
1984
Sums of functions of nearest neighbor distances, moment bounds, limit theorems and a goodness of fit test. Zbl 0502.62045
Bickel, Peter J.; Breiman, Leo
1983
How many variables should be entered in a regression equation? Zbl 0513.62068
Breiman, L.; Freedman, D.
1983
Variable kernel estimates of multivariate densities. Zbl 0379.62023
Breiman, Leo; Meisel, William; Purcell, Edward
1977
General estimates of the intrinsic variability of data in nonlinear regression models. Zbl 0336.62069
Breiman, L.; Meisel, W. S.
1976
Statistics: With a view toward applications. Zbl 0289.62001
Breiman, Leo
1973
A note on minimax filtering. Zbl 0265.60042
Breiman, Leo
1973
Correction to ’A delicate law of the iterated logarithm for non- decreasing stable processes’. Zbl 0207.48601
Breiman, L.
1970
A delicate law of the iterated logarithm for non-decreasing stable processes. Zbl 0192.55401
Breiman, L.
1969
Probability and stochastic processes: With a view toward applications. Zbl 0246.60033
Breiman, Leo
1969
Probability. Zbl 0174.48801
Breiman, Leo
1968
On the tail behavior of sums of independent random variables. Zbl 0339.60050
Breiman, Leo
1967
First exit times from a square root boundary. Zbl 0241.60035
Breiman, Leo
1967
On some limit theorems similar to the arc-sin law. Zbl 0147.37004
Breiman, L.
1965
Consistent estimates and zero-one sets. Zbl 0223.62029
Breiman, Leo; Le Cam, Lucien; Schwartz, Lorraine
1964
Stopping-rule problems. Zbl 0192.25605
Breiman, L.
1964
Convergence properties of a learning algorithm. Zbl 0125.09904
Breiman, L.; Wurtele, Z. S.
1964
The Poisson tendency in traffic distribution. Zbl 0117.13701
Breiman, L.
1963
On some probability distributions occurring in traffic flow. Zbl 0115.13404
Breiman, L.
1962
Optimal gambling systems for favorable games. Zbl 0109.36803
Breiman, L.
1961
The strong law of large numbers for a class of Markov chains. Zbl 0104.11901
Breiman, Leo
1960
Investment policies for expanding businesses optimal in a longrun sense. Zbl 0114.12401
Breiman, L.
1960
The capacities of certain channel classes under random coding. Zbl 0119.13805
Blackwell, D.; Breiman, L.; Thomasian, A. J.
1960
Correction to ”The individual ergodic theorem of information theory”. Zbl 0092.34001
Breiman, Leo
1960
On achieving channel capacity in finite-memory channels. Zbl 0094.12605
Breiman, Leo
1960
On the completeness of order statistics. Zbl 0101.12201
Bell, C. B.; Blackwell, David; Breiman, Leo
1960
The capacity of a class of channels. Zbl 0104.11604
Blackwell, David; Breiman, Leo; Thomasian, A. J.
1959
Proof of Shannon’s transmission theorem for finite-state indecomposable channels. Zbl 0096.10901
Blackwell, David; Breiman, Leo; Thomasian, A. J.
1958
Transient atomic Markov chains with a denumerable number of states. Zbl 0087.13503
Breiman, Leo
1958
An elementary theorem concerning stationary ergodic processes. Zbl 0107.34804
Breiman, L.
1958
The individual ergodic theorem of information theory. Zbl 0078.31801
Breiman, Leo
1957
On transient Markov chains with application to the uniqueness problem for Markov processes. Zbl 0078.31703
Breiman, Leo
1957
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### Cited by 7,371 Authors

 25 Bühlmann, Peter 21 Mikosch, Thomas 15 Hothorn, Torsten 15 Ishwaran, Hemant 14 Hall, Peter Gavin 13 Boche, Holger 13 Tutz, Gerhard E. 12 Biau, Gérard 12 Larocque, Denis 12 Zou, Hui 11 Boulesteix, Anne-Laure Isabeau 11 Sergeev, Yaroslav Dmitrievich 11 Yang, Weiguo 11 Zhang, Chunxia 11 Zopounidis, Constantin 10 Fan, Jianqing 10 Hashorva, Enkelejd 10 Lausen, Berthold 10 Resnick, Sidney Ira 10 Schmid, Matthias 10 Tang, Qihe 9 Berger, Moritz 9 Davis, Richard A. 9 Evstigneev, Igor V. 9 Kim, Yongdai 9 Li, Runze 9 Marron, James Stephen 9 Meinshausen, Nicolai 9 Siciliano, Roberta 9 Yang, Yang 9 Yang, Yuhong 9 Zhang, Jiangshe 8 Bertsimas, Dimitris John 8 Bickel, Peter John 8 Carrizosa, Emilio 8 Chi, Zhiyi 8 Koo, Ja-Yong 8 Li, Jinzhu 8 Romero Morales, Dolores 8 Scornet, Erwan 8 Shih, Yu-Shan 8 Wager, Stefan 8 Wang, Dingcheng 8 Yuan, Ming 8 Zhang, Hao Helen 8 Zhu, Ji 8 Ziemba, William T. 7 Clarke, Bertrand S. 7 Džeroski, Sašo 7 Friedman, Jerome Harold 7 George, Edward I. 7 Hens, Thorsten 7 Kim, Hea-Jung 7 Liu, Yufeng 7 MacLean, Leonard C. 7 Mojirsheibani, Majid 7 Nötzel, Janis 7 Pakes, Anthony G. 7 Runger, George C. 7 Samworth, Richard J. 7 Sauerbrei, Willi 7 Schenk-Hoppé, Klaus Reiner 7 Strobl, Carolin 7 Su, Xiaogang 7 Tibshirani, Robert John 7 Van der Laan, Mark Johannes 7 Wang, Qihua 7 Wang, Shuning 7 Yang, Jing 7 You, Jinhong 7 Yu, Bin 7 Zeileis, Achim 6 Abellán, Joaquín 6 Antoniadis, Anestis 6 Cai, Minglai 6 Ciampi, Antonio 6 Conversano, Claudio 6 Doumpos, Michael 6 Elouedi, Zied 6 Fan, Juanjuan 6 Gijbels, Irène 6 Györfi, László 6 Hand, David J. 6 Horváth, Lajos 6 Kim, Hyunjoong 6 Kohler, Michael 6 Leng, Chenlei 6 Linton, Oliver Bruce 6 Ma, Shuangge 6 Mola, Francesco 6 Peng, Heng 6 Rosset, Saharon 6 Samorodnitsky, Gennady Pinkhosovich 6 Schumacher, Martin 6 Shi, Zhiyan 6 Van den Poel, Dirk 6 Webb, Geoffrey I. 6 Woodroofe, Michael Barrett 6 Zhang, Riquan 6 Zhang, Wenyang ...and 7,271 more Authors
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### Cited in 488 Serials

 266 Computational Statistics and Data Analysis 129 The Annals of Statistics 115 Machine Learning 95 European Journal of Operational Research 90 Pattern Recognition 84 Stochastic Processes and their Applications 80 Journal of Statistical Planning and Inference 79 The Annals of Applied Statistics 76 Journal of Multivariate Analysis 76 Statistics & Probability Letters 69 Computational Statistics 59 Communications in Statistics. Theory and Methods 56 Statistical Science 55 Journal of Statistical Computation and Simulation 53 Information Sciences 51 Journal of Applied Statistics 41 Data Mining and Knowledge Discovery 41 Electronic Journal of Statistics 40 Advances in Data Analysis and Classification. ADAC 40 Statistics and Computing 38 Journal of the American Statistical Association 37 Communications in Statistics. Simulation and Computation 36 Annals of Operations Research 34 Journal of Computational and Graphical Statistics 33 The Annals of Probability 33 Journal of Econometrics 33 Bernoulli 32 Statistical Analysis and Data Mining 31 Annals of the Institute of Statistical Mathematics 31 Biometrics 30 Neural Networks 30 The Annals of Applied Probability 29 Transactions of the American Mathematical Society 29 Journal of Classification 27 Journal of Applied Probability 27 Insurance Mathematics & Economics 26 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 26 International Journal of Approximate Reasoning 26 Journal of Theoretical Biology 25 Computers & Operations Research 25 Journal of Machine Learning Research (JMLR) 24 Computational & Mathematical Methods in Medicine 22 Automatica 22 Neural Computation 21 Journal of Mathematical Analysis and Applications 21 Journal of Global Optimization 20 Biometrical Journal 20 Test 20 Extremes 19 Advances in Applied Probability 19 Psychometrika 19 Journal of Economic Theory 19 Journal of Nonparametric Statistics 18 The Canadian Journal of Statistics 18 Probability Theory and Related Fields 18 Journal of the Korean Statistical Society 17 Fuzzy Sets and Systems 16 Artificial Intelligence 16 Proceedings of the American Mathematical Society 16 Mathematical and Computer Modelling 15 Journal of Computational and Applied Mathematics 15 Journal of Theoretical Probability 15 Journal of the Royal Statistical Society. Series B. Statistical Methodology 15 Quantitative Finance 14 International Journal of Computer Vision 14 Mathematical Problems in Engineering 13 Journal of Statistical Physics 13 Mathematical Biosciences 13 Journal of Mathematical Economics 12 International Journal of Applied Mathematics and Computer Science 12 Statistical Modelling 12 Computational Biology and Chemistry 11 Computers & Mathematics with Applications 11 Journal of Optimization Theory and Applications 11 Annals of Mathematics and Artificial Intelligence 10 Applied Mathematics and Computation 10 Journal of Mathematical Psychology 10 Journal of Economic Dynamics & Control 10 Automation and Remote Control 10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 Statistical Papers 10 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 10 Econometric Theory 10 Scandinavian Actuarial Journal 10 Statistical Methods and Applications 10 Statistics Surveys 9 Computer Methods in Applied Mechanics and Engineering 9 Metrika 9 Journal of Computer and System Sciences 9 Journal of Probability and Statistics 8 Journal of Computational Physics 8 Kybernetika 8 Theoretical Computer Science 8 Econometric Reviews 8 Queueing Systems 8 Computational Optimization and Applications 8 Applied Stochastic Models in Business and Industry 8 ASTIN Bulletin 8 Statistical Methodology 8 Bayesian Analysis ...and 388 more Serials
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### Cited in 56 Fields

 2,343 Statistics (62-XX) 1,033 Computer science (68-XX) 646 Probability theory and stochastic processes (60-XX) 386 Numerical analysis (65-XX) 379 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 321 Operations research, mathematical programming (90-XX) 239 Biology and other natural sciences (92-XX) 110 Information and communication theory, circuits (94-XX) 95 Systems theory; control (93-XX) 61 Dynamical systems and ergodic theory (37-XX) 50 Combinatorics (05-XX) 36 Measure and integration (28-XX) 34 Geophysics (86-XX) 27 Functional analysis (46-XX) 27 Statistical mechanics, structure of matter (82-XX) 26 Fluid mechanics (76-XX) 24 Quantum theory (81-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 19 History and biography (01-XX) 19 Partial differential equations (35-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Approximations and expansions (41-XX) 15 Operator theory (47-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Mechanics of deformable solids (74-XX) 12 General and overarching topics; collections (00-XX) 12 Mathematical logic and foundations (03-XX) 8 Number theory (11-XX) 8 Real functions (26-XX) 7 Topological groups, Lie groups (22-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Special functions (33-XX) 5 Ordinary differential equations (34-XX) 5 Astronomy and astrophysics (85-XX) 4 Integral equations (45-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 3 Difference and functional equations (39-XX) 3 Abstract harmonic analysis (43-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)

### Wikidata Timeline

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