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## Kallenberg, Olav

Compute Distance To:
 Author ID: kallenberg.olav Published as: Kallenberg, Olav; Kallenberg, O.; Kallenberg, Olaf External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 93 Publications since 1972, including 9 Books

#### Co-Authors

 90 single-authored 1 Janson, Svante 1 Sztencel, Rafał 1 Szulga, Jerzy
all top 5

#### Serials

 14 The Annals of Probability 13 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 13 Probability Theory and Related Fields 7 Stochastic Processes and their Applications 6 Journal of Theoretical Probability 3 Mathematische Nachrichten 3 Probability and its Applications 2 Journal of Applied Probability 2 Studia Scientiarum Mathematicarum Hungarica 2 Probability Theory and Stochastic Modelling 1 Advances in Applied Probability 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Theory of Probability and its Applications 1 The Annals of Statistics 1 International Statistical Review 1 Journal of Multivariate Analysis 1 Mathematica Scandinavica 1 Scandinavian Actuarial Journal 1 Transactions of the American Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Probability and Mathematical Statistics 1 Acta Applicandae Mathematicae 1 Bulletin of the International Statistical Institute 1 Communications on Stochastic Analysis
all top 5

#### Fields

 93 Probability theory and stochastic processes (60-XX) 6 Measure and integration (28-XX) 3 Statistics (62-XX) 2 Operator theory (47-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH Open

71 Publications have been cited 2,458 times in 2,151 Documents Cited by Year
Foundations of modern probability. 2nd ed. Zbl 0996.60001
Kallenberg, Olav
2002
Foundations of modern probability. Zbl 0892.60001
Kallenberg, Olav
1997
Random measures. 3rd, rev. and enl. ed. Zbl 0544.60053
Kallenberg, Olav
1983
Random measures. Zbl 0345.60032
Kallenberg, Olav
1976
Characterization of continuous random processes and signed measures. Zbl 0288.60053
Kallenberg, O.
1974
Probabilistic symmetries and invariance principles. Zbl 1084.60003
Kallenberg, Olav
2005
Random measures. Zbl 0345.60031
Kallenberg, Olav
1975
Random measures, theory and applications. Zbl 1376.60003
Kallenberg, Olav
2017
Stability of critical cluster fields. Zbl 0361.60058
Kallenberg, Olav
1977
Characterization and convergence of random measures and point processes. Zbl 0253.60037
Kallenberg, Olav
1973
Spreading and predictable sampling in exchangeable sequences and processes. Zbl 0649.60043
Kallenberg, Olav
1988
Splitting at backward times in regenerative sets. Zbl 0526.60061
Kallenberg, Olav
1981
Canonical representations and convergence criteria for processes with interchangeable increments. Zbl 0253.60060
Kallenberg, Olaf
1973
On the representation theorem for exchangeable arrays. Zbl 0676.60046
Kallenberg, Olav
1989
Some time change representations of stable integrals, via predictable transformations of local martingales. Zbl 0754.60044
Kallenberg, Olav
1992
On conditional intensities of point processes. Zbl 0349.60056
Kallenberg, Olav
1978
Symmetries on random arrays and set-indexed processes. Zbl 0759.60035
Kallenberg, Olav
1992
Path properties of processes with independent and interchangeable increments. Zbl 0266.60028
Kallenberg, Olav
1974
Series of random processes without discontinuities of the second kind. Zbl 0286.60027
Kallenberg, Olav
1974
Limits of compound and thinned point processes. Zbl 0318.60050
Kallenberg, Olav
1975
Multiple integration with respect to Poisson and Lévy processes. Zbl 0681.60049
Kallenberg, O.; Szulga, J.
1989
Characterizations and embedding properties in exchangeability. Zbl 0481.60019
Kallenberg, Olav
1982
On the existence and path properties of stochastic integrals. Zbl 0307.60050
Kallenberg, Olav
1975
On the structure of stationary flat processes. Zbl 0325.60050
Kallenberg, Olav
1976
Some dimension-free features of vector-valued martingales. Zbl 0717.60053
Kallenberg, Olav; Sztencel, Rafał
1991
A counterexample to R. Davidson’s conjecture on line processes. Zbl 0401.60050
Kallenberg, Olav
1977
On the asymptotic behavior of line processes and systems of non- interacting particles. Zbl 0366.60086
Kallenberg, Olav
1978
An informal guide to the theory of conditioning in point processes. Zbl 0552.60041
Kallenberg, Olav
1984
Some new representations in bivariate exchangeability. Zbl 0621.60044
Kallenberg, Olav
1988
Exchangeable random measures in the plane. Zbl 0694.60030
Kallenberg, Olav
1990
On an independence criterion for multiple Wiener integrals. Zbl 0738.60052
Kallenberg, Olav
1991
On symmetrically distributed random measures. Zbl 0274.60038
Kallenberg, Olav
1975
Invariant measures and disintegrations with applications to Palm and related kernels. Zbl 1123.60032
Kallenberg, Olav
2007
Palm distributions and local approximation of regenerative processes. Zbl 1022.60043
Kallenberg, Olav
2003
Multivariate sampling and the estimation problem for exchangeable arrays. Zbl 0983.62055
Kallenberg, Olav
1999
Local hitting and conditioning in symmetric interval partitions. Zbl 1053.60086
Kallenberg, Olav
2001
Infinitely divisible processes with interchangeable increments and random measures under convolution. Zbl 0296.60020
Kallenberg, Olav
1975
On the structure of stationary flat processes. II. Zbl 0411.60054
Kallenberg, Olav
1980
$$L_p$$-intensities of random measures. Zbl 0417.60063
Kallenberg, Olav
1979
Palm measure duality and conditioning in regenerative sets. Zbl 0953.60037
Kallenberg, Olav
1999
General Wald-type identities for exchangeable sequences and processes. Zbl 0661.60057
Kallenberg, Olav
1989
Random time change and an integral representation for marked stopping times. Zbl 0677.60051
Kallenberg, Olav
1990
Maximizing the intersection density of fibre processes. Zbl 0482.60013
Janson, Svante; Kallenberg, Olav
1981
Improved criteria for distributional convergence of point processes. Zbl 0879.60050
Kallenberg, O.
1996
Ballot theorems and sojourn laws for stationary processes. Zbl 0961.60045
Kallenberg, Olav
1999
Spreading-invariant sequences and processes on bounded index sets. Zbl 0966.60031
Kallenberg, Olav
2000
A canonical representation of symmetrically distributed random measures. Zbl 0265.60009
Kallenberg, Olav
1973
Iterated Palm conditioning and some Slivnyak-type theorems for Cox and cluster processes. Zbl 1230.60055
Kallenberg, Olav
2011
Some local approximation properties of simple point processes. Zbl 1158.60015
Kallenberg, Olav
2009
Some problems of local hitting, scaling, and conditioning. Zbl 1123.60031
Kallenberg, Olav
2007
The local time intensity of an exchangeable interval partition. Zbl 0522.60049
Kallenberg, Olav
1983
Commutativity properties of conditional distributions and Palm measures. Zbl 1331.60011
Kallenberg, Olav
2010
A note on the asymptotic equivalence of sampling with and without replacement. Zbl 0285.62006
Kallenberg, Olav
1974
Some linear random functionals characterized by $$L^ p$$-symmetries. Zbl 0806.60023
Kallenberg, Olav
1993
On the existence of universal functional solutions to classical SDE’s. Zbl 0861.60070
Kallenberg, Olav
1996
Tangential existence and comparison, with applications to single and multiple integration. Zbl 1367.60045
Kallenberg, Olav
2017
Invariant Palm and related disintegrations via skew factorization. Zbl 1242.60050
Kallenberg, Olav
2011
Some surprises in finite gambling and its continuous time analogue. Zbl 0576.60028
Kallenberg, Olav
1985
The stationarity-invariance problem. Zbl 0501.60059
Kallenberg, O.
1982
From optional skipping to random time change – on some recent advances in exchangeability theory. Zbl 0794.60049
Kallenberg, O.
1992
Some uses of point processes in multiple stochastic integration. Zbl 0734.60061
Kallenberg, Olav
1991
From optional skipping to random time change – on some recent advances in exchangeability theory. Zbl 0756.60047
Kallenberg, O.
1992
Stationary and invariant densities and disintegration kernels. Zbl 1319.60103
Kallenberg, Olav
2014
An extension of the basic Palm measure correspondence. Zbl 0969.60057
Kallenberg, Olav
2000
Random arrays and functionals with multivariate rotational symmetries. Zbl 0843.60009
Kallenberg, O.
1995
Multiple Wiener-Itô integrals and a multivariate version of Schoenberg’s theorem. Zbl 0854.60035
Kallenberg, Olav
1994
Stability in the decomposition of probability measures with finite support. Zbl 0229.60011
Kallenberg, Olav
1972
Decomposition of generalized binomial and multinomial distributions. Zbl 0229.60012
Kallenberg, Olav
1972
On the independence of velocities in a system of noninteracting particles. Zbl 0399.60099
Kallenberg, Olav
1978
Some local approximations of Dawson-Watanabe superprocesses. Zbl 1167.60010
Kallenberg, Olav
2008
Foundations of modern probability. Volume I and II. 3rd revised and expanded edition. Zbl 07301635
Kallenberg, Olav
2021
Foundations of modern probability. Volume I and II. 3rd revised and expanded edition. Zbl 07301635
Kallenberg, Olav
2021
Random measures, theory and applications. Zbl 1376.60003
Kallenberg, Olav
2017
Tangential existence and comparison, with applications to single and multiple integration. Zbl 1367.60045
Kallenberg, Olav
2017
Stationary and invariant densities and disintegration kernels. Zbl 1319.60103
Kallenberg, Olav
2014
Iterated Palm conditioning and some Slivnyak-type theorems for Cox and cluster processes. Zbl 1230.60055
Kallenberg, Olav
2011
Invariant Palm and related disintegrations via skew factorization. Zbl 1242.60050
Kallenberg, Olav
2011
Commutativity properties of conditional distributions and Palm measures. Zbl 1331.60011
Kallenberg, Olav
2010
Some local approximation properties of simple point processes. Zbl 1158.60015
Kallenberg, Olav
2009
Some local approximations of Dawson-Watanabe superprocesses. Zbl 1167.60010
Kallenberg, Olav
2008
Invariant measures and disintegrations with applications to Palm and related kernels. Zbl 1123.60032
Kallenberg, Olav
2007
Some problems of local hitting, scaling, and conditioning. Zbl 1123.60031
Kallenberg, Olav
2007
Probabilistic symmetries and invariance principles. Zbl 1084.60003
Kallenberg, Olav
2005
Palm distributions and local approximation of regenerative processes. Zbl 1022.60043
Kallenberg, Olav
2003
Foundations of modern probability. 2nd ed. Zbl 0996.60001
Kallenberg, Olav
2002
Local hitting and conditioning in symmetric interval partitions. Zbl 1053.60086
Kallenberg, Olav
2001
Spreading-invariant sequences and processes on bounded index sets. Zbl 0966.60031
Kallenberg, Olav
2000
An extension of the basic Palm measure correspondence. Zbl 0969.60057
Kallenberg, Olav
2000
Multivariate sampling and the estimation problem for exchangeable arrays. Zbl 0983.62055
Kallenberg, Olav
1999
Palm measure duality and conditioning in regenerative sets. Zbl 0953.60037
Kallenberg, Olav
1999
Ballot theorems and sojourn laws for stationary processes. Zbl 0961.60045
Kallenberg, Olav
1999
Foundations of modern probability. Zbl 0892.60001
Kallenberg, Olav
1997
Improved criteria for distributional convergence of point processes. Zbl 0879.60050
Kallenberg, O.
1996
On the existence of universal functional solutions to classical SDE’s. Zbl 0861.60070
Kallenberg, Olav
1996
Random arrays and functionals with multivariate rotational symmetries. Zbl 0843.60009
Kallenberg, O.
1995
Multiple Wiener-Itô integrals and a multivariate version of Schoenberg’s theorem. Zbl 0854.60035
Kallenberg, Olav
1994
Some linear random functionals characterized by $$L^ p$$-symmetries. Zbl 0806.60023
Kallenberg, Olav
1993
Some time change representations of stable integrals, via predictable transformations of local martingales. Zbl 0754.60044
Kallenberg, Olav
1992
Symmetries on random arrays and set-indexed processes. Zbl 0759.60035
Kallenberg, Olav
1992
From optional skipping to random time change – on some recent advances in exchangeability theory. Zbl 0794.60049
Kallenberg, O.
1992
From optional skipping to random time change – on some recent advances in exchangeability theory. Zbl 0756.60047
Kallenberg, O.
1992
Some dimension-free features of vector-valued martingales. Zbl 0717.60053
Kallenberg, Olav; Sztencel, Rafał
1991
On an independence criterion for multiple Wiener integrals. Zbl 0738.60052
Kallenberg, Olav
1991
Some uses of point processes in multiple stochastic integration. Zbl 0734.60061
Kallenberg, Olav
1991
Exchangeable random measures in the plane. Zbl 0694.60030
Kallenberg, Olav
1990
Random time change and an integral representation for marked stopping times. Zbl 0677.60051
Kallenberg, Olav
1990
On the representation theorem for exchangeable arrays. Zbl 0676.60046
Kallenberg, Olav
1989
Multiple integration with respect to Poisson and Lévy processes. Zbl 0681.60049
Kallenberg, O.; Szulga, J.
1989
General Wald-type identities for exchangeable sequences and processes. Zbl 0661.60057
Kallenberg, Olav
1989
Spreading and predictable sampling in exchangeable sequences and processes. Zbl 0649.60043
Kallenberg, Olav
1988
Some new representations in bivariate exchangeability. Zbl 0621.60044
Kallenberg, Olav
1988
Some surprises in finite gambling and its continuous time analogue. Zbl 0576.60028
Kallenberg, Olav
1985
An informal guide to the theory of conditioning in point processes. Zbl 0552.60041
Kallenberg, Olav
1984
Random measures. 3rd, rev. and enl. ed. Zbl 0544.60053
Kallenberg, Olav
1983
The local time intensity of an exchangeable interval partition. Zbl 0522.60049
Kallenberg, Olav
1983
Characterizations and embedding properties in exchangeability. Zbl 0481.60019
Kallenberg, Olav
1982
The stationarity-invariance problem. Zbl 0501.60059
Kallenberg, O.
1982
Splitting at backward times in regenerative sets. Zbl 0526.60061
Kallenberg, Olav
1981
Maximizing the intersection density of fibre processes. Zbl 0482.60013
Janson, Svante; Kallenberg, Olav
1981
On the structure of stationary flat processes. II. Zbl 0411.60054
Kallenberg, Olav
1980
$$L_p$$-intensities of random measures. Zbl 0417.60063
Kallenberg, Olav
1979
On conditional intensities of point processes. Zbl 0349.60056
Kallenberg, Olav
1978
On the asymptotic behavior of line processes and systems of non- interacting particles. Zbl 0366.60086
Kallenberg, Olav
1978
On the independence of velocities in a system of noninteracting particles. Zbl 0399.60099
Kallenberg, Olav
1978
Stability of critical cluster fields. Zbl 0361.60058
Kallenberg, Olav
1977
A counterexample to R. Davidson’s conjecture on line processes. Zbl 0401.60050
Kallenberg, Olav
1977
Random measures. Zbl 0345.60032
Kallenberg, Olav
1976
On the structure of stationary flat processes. Zbl 0325.60050
Kallenberg, Olav
1976
Random measures. Zbl 0345.60031
Kallenberg, Olav
1975
Limits of compound and thinned point processes. Zbl 0318.60050
Kallenberg, Olav
1975
On the existence and path properties of stochastic integrals. Zbl 0307.60050
Kallenberg, Olav
1975
On symmetrically distributed random measures. Zbl 0274.60038
Kallenberg, Olav
1975
Infinitely divisible processes with interchangeable increments and random measures under convolution. Zbl 0296.60020
Kallenberg, Olav
1975
Characterization of continuous random processes and signed measures. Zbl 0288.60053
Kallenberg, O.
1974
Path properties of processes with independent and interchangeable increments. Zbl 0266.60028
Kallenberg, Olav
1974
Series of random processes without discontinuities of the second kind. Zbl 0286.60027
Kallenberg, Olav
1974
A note on the asymptotic equivalence of sampling with and without replacement. Zbl 0285.62006
Kallenberg, Olav
1974
Characterization and convergence of random measures and point processes. Zbl 0253.60037
Kallenberg, Olav
1973
Canonical representations and convergence criteria for processes with interchangeable increments. Zbl 0253.60060
Kallenberg, Olaf
1973
A canonical representation of symmetrically distributed random measures. Zbl 0265.60009
Kallenberg, Olav
1973
Stability in the decomposition of probability measures with finite support. Zbl 0229.60011
Kallenberg, Olav
1972
Decomposition of generalized binomial and multinomial distributions. Zbl 0229.60012
Kallenberg, Olav
1972
all top 5

#### Cited by 2,461 Authors

 42 Kallenberg, Olav 37 Janson, Svante 31 Last, Günter 24 Thäle, Christoph 20 Mikosch, Thomas 20 Resnick, Sidney Ira 19 Hashorva, Enkelejd 17 Trutschnig, Wolfgang 16 Xia, Aihua 14 Bertoin, Jean 13 Kondrat’yev, Yuriĭ Grygorovych 12 Dvurečenskij, Anatolij 12 Kabluchko, Zakhar A. 11 Davis, Richard A. 11 Hsing, Tailen 11 Molchanov, Ilya S. 11 Pitman, Jim William 11 Rosiński, Jan 10 Albeverio, Sergio A. 10 Fernández-Sánchez, Juan 9 Bouzebda, Salim 9 Evans, Steven Neil 9 Fasen, Vicky 9 Hausenblas, Erika 9 Holroyd, Alexander E. 9 Ivanoff, B. Gail 9 Lytvynov, Eugene W. 9 Pakkanen, Mikko S. 9 Pap, Gyula 9 Samorodnitsky, Gennady Pinkhosovich 9 Veraar, Mark C. 8 Basrak, Bojan 8 Brzeźniak, Zdzisław 8 Konstantopoulos, Takis 8 Lambert, Amaury 8 Leadbetter, Malcolm Ross 8 Maller, Ross Arthur 8 Prochno, Joscha 8 Röckner, Michael 8 Schulte, Matthias 8 Virág, Bálint 8 Wu, Fuke 7 Austin, Tim D. 7 Baddeley, Adrian John 7 Bovier, Anton 7 Brown, Timothy C. 7 Bufetov, Aleksandr Igorevich 7 Cheung, Ka Chun 7 de Cooman, Gert 7 Decreusefond, Laurent 7 Figueroa-López, José E. 7 Hug, Daniel 7 Hüsler, Jürg 7 Karr, Alan F. 7 Mason, David M. 7 Peres, Yuval 7 Regazzini, Eugenio 7 Thorisson, Hermann 7 Uribe Bravo, Gerónimo 7 Zhang, Xicheng 6 Barczy, Mátyás 6 Crane, Harry 6 Croydon, David A. 6 Daletskii, Alexei 6 Dawson, Donald Andrew 6 Di Nunno, Giulia 6 Dolera, Emanuele 6 Fleischmann, Klaus 6 Freer, Cameron E. 6 Gorostiza, Luis G. 6 Greven, Andreas 6 Grothaus, Martin 6 Hult, Henrik 6 Jonckheere, Matthieu 6 Köstler, Claus 6 Kyprianou, Andreas E. 6 Lindner, Alexander M. 6 Mcvinish, Ross S. 6 Merzbach, Ely 6 Panchenko, Dmitry 6 Peccati, Giovanni 6 Prieto-Rumeau, Tomás 6 Qiu, Yanqi 6 Rásonyi, Miklós 6 Rizzolo, Douglas 6 Roy, Daniel M. 6 Schuhmacher, Dominic 6 van der Hofstad, Remco W. 6 van Handel, Ramon 6 Wade, Andrew R. 6 Wakolbinger, Anton 6 Weber, Neville C. 6 Yaroslavtsev, Ivan S. 6 Zessin, Hans N. 6 Zhang, Fuxi 5 Balan, Raluca M. 5 Ben Arous, Gérard 5 Biermé, Hermine 5 Bobrowski, Adam 5 Casanova, Adrián González ...and 2,361 more Authors
all top 5

#### Cited in 339 Serials

 220 Stochastic Processes and their Applications 110 The Annals of Probability 110 Probability Theory and Related Fields 87 The Annals of Applied Probability 65 Journal of Theoretical Probability 65 Bernoulli 64 Advances in Applied Probability 61 Statistics & Probability Letters 58 Journal of Applied Probability 44 Electronic Journal of Probability 42 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 34 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 33 Communications in Mathematical Physics 32 Journal of Mathematical Analysis and Applications 31 Journal of Statistical Physics 28 The Annals of Statistics 27 Journal of Functional Analysis 24 Transactions of the American Mathematical Society 23 Journal of Multivariate Analysis 19 Stochastic Analysis and Applications 18 Proceedings of the American Mathematical Society 18 Insurance Mathematics & Economics 18 Extremes 18 Electronic Journal of Statistics 16 Finance and Stochastics 15 Random Structures & Algorithms 15 Potential Analysis 14 Journal of Mathematical Biology 14 Queueing Systems 13 Annals of the Institute of Statistical Mathematics 13 Mathematische Nachrichten 13 SIAM Journal on Control and Optimization 13 ALEA. Latin American Journal of Probability and Mathematical Statistics 12 Journal of Statistical Planning and Inference 11 Journal of Differential Equations 11 Acta Applicandae Mathematicae 11 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 10 Journal of Econometrics 10 Mathematical Methods of Statistics 10 Methodology and Computing in Applied Probability 10 Stochastics 9 Journal of Mathematical Physics 9 Electronic Communications in Probability 9 Stochastic Models 9 Probability Surveys 9 Stochastic and Partial Differential Equations. Analysis and Computations 8 Kybernetika 8 Communications in Statistics. Theory and Methods 7 Annales Henri Poincaré 6 Metrika 6 Ukrainian Mathematical Journal 6 Theory of Probability and its Applications 6 Statistical Science 6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 6 Quantitative Finance 6 SIAM/ASA Journal on Uncertainty Quantification 5 International Journal of Theoretical Physics 5 Nonlinearity 5 Studia Mathematica 5 Automatica 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Theoretical Population Biology 5 Advances in Applied Mathematics 5 Ergodic Theory and Dynamical Systems 5 International Journal of Approximate Reasoning 5 European Journal of Operational Research 5 SIAM Journal on Mathematical Analysis 5 Soft Computing 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Journal of Evolution Equations 5 Discrete and Continuous Dynamical Systems. Series B 5 Stochastics and Dynamics 5 Statistics and Computing 4 Journal of Mathematical Economics 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Acta Mathematica Hungarica 4 Games and Economic Behavior 4 Test 4 Combinatorics, Probability and Computing 4 Statistical Papers 4 Economic Theory 4 Random Operators and Stochastic Equations 4 Discrete and Continuous Dynamical Systems 4 Statistical Inference for Stochastic Processes 4 Proceedings of the Steklov Institute of Mathematics 4 Mathematics and Financial Economics 4 SIAM Journal on Financial Mathematics 4 Science China. Mathematics 4 Dependence Modeling 3 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Lithuanian Mathematical Journal 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Mathematics of Computation 3 Bulletin of Mathematical Biology 3 Advances in Mathematics 3 Applied Mathematics and Optimization 3 Dissertationes Mathematicae 3 Journal of the American Statistical Association 3 Journal of Computational and Applied Mathematics ...and 239 more Serials
all top 5

#### Cited in 56 Fields

 1,803 Probability theory and stochastic processes (60-XX) 414 Statistics (62-XX) 184 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 132 Combinatorics (05-XX) 132 Statistical mechanics, structure of matter (82-XX) 117 Partial differential equations (35-XX) 92 Biology and other natural sciences (92-XX) 86 Numerical analysis (65-XX) 84 Operations research, mathematical programming (90-XX) 79 Dynamical systems and ergodic theory (37-XX) 72 Measure and integration (28-XX) 69 Functional analysis (46-XX) 64 Systems theory; control (93-XX) 63 Computer science (68-XX) 61 Operator theory (47-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 36 Quantum theory (81-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 30 Mathematical logic and foundations (03-XX) 30 Ordinary differential equations (34-XX) 26 Convex and discrete geometry (52-XX) 25 Fluid mechanics (76-XX) 23 Global analysis, analysis on manifolds (58-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 19 Information and communication theory, circuits (94-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Real functions (26-XX) 14 Functions of a complex variable (30-XX) 13 Potential theory (31-XX) 11 Number theory (11-XX) 11 Differential geometry (53-XX) 10 Integral equations (45-XX) 9 Integral transforms, operational calculus (44-XX) 9 General topology (54-XX) 8 Special functions (33-XX) 8 Abstract harmonic analysis (43-XX) 7 Group theory and generalizations (20-XX) 6 Topological groups, Lie groups (22-XX) 6 Difference and functional equations (39-XX) 6 Approximations and expansions (41-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Algebraic topology (55-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Nonassociative rings and algebras (17-XX) 3 Category theory; homological algebra (18-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Geometry (51-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General algebraic systems (08-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

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