# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 81 Publications since 1985, including 6 Books
all top 5

#### Co-Authors

 16 single-authored 16 Brydges, David C. 15 van der Hofstad, Remco W. 14 Hara, Takashi 10 Bauerschmidt, Roland 5 den Hollander, Frank 4 Borgs, Christian 4 Chayes, Jennifer Tour 3 Madras, Neal 3 Spencer, Joel H. 3 Wallace, Benjamin C. 2 Barlow, Martin T. 2 Clisby, Nathan 2 Derbez, Eric 2 Goodman, Jesse 2 Holmes, Mark P. 2 Járai, Antal A. 2 Lohmann, Martin 2 Miranda, Yuri Mejia 2 Sakai, Akira 2 Tomberg, Alexandre 1 Angel, Omer 1 Chan, Yao-ban 1 Dahlqvist, Antoine 1 Duminil-Copin, Hugo 1 Imbrie, John Z. 1 Kumagai, Takashi 1 Liang, Richard 1 Owczarek, Aleksander L. 1 Rechnitzer, Andrew Daniel 1 Sokal, Alan D.
all top 5

#### Serials

 13 Communications in Mathematical Physics 12 Journal of Statistical Physics 4 The Annals of Probability 4 Probability Theory and Related Fields 3 Combinatorics, Probability and Computing 2 Journal of Mathematical Physics 2 Random Structures & Algorithms 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Electronic Communications in Probability 2 Annales Henri Poincaré 2 Lecture Notes in Mathematics 1 Reviews in Mathematical Physics 1 The Mathematical Intelligencer 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Journal of the Mathematical Society of Japan 1 Advances in Applied Mathematics 1 Combinatorica 1 Journal of Physics A: Mathematical and General 1 Notices of the American Mathematical Society 1 Electronic Journal of Probability 1 Electronic Research Announcements of the American Mathematical Society 1 The Journal of Fourier Analysis and Applications 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Annals of Combinatorics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Physics A: Mathematical and Theoretical 1 Probability Surveys 1 Springer Proceedings in Mathematics & Statistics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Modern Birkhäuser Classics 1 Probability and its Applications
all top 5

#### Fields

 73 Statistical mechanics, structure of matter (82-XX) 63 Probability theory and stochastic processes (60-XX) 9 Combinatorics (05-XX) 7 Quantum theory (81-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

75 Publications have been cited 1,253 times in 485 Documents Cited by Year
The self-avoiding walk. Zbl 0780.60103
1993
Mean-field critical behaviour for percolation in high dimensions. Zbl 0698.60100
1990
Self-avoiding walk in five or more dimensions. I: The critical behaviour. Zbl 0755.60053
1992
The lace expansion for self-avoiding walk in five or more dimensions. Zbl 0755.60054
1992
Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models. Zbl 1044.82006
2003
Random subgraphs of finite graphs. I: The scaling window under the triangle condition. Zbl 1076.05071
Borgs, Christian; Chayes, Jennifer T.; van der Hofstad, Remco; Slade, Gordon; Spencer, Joel
2005
Random subgraphs of finite graphs. II: The lace expansion and the triangle condition. Zbl 1079.05087
Borgs, Christian; Chayes, Jennifer T.; van der Hofstad, Remco; Slade, Gordon; Spencer, Joel
2005
The self-avoiding walk. pbk ed. Zbl 0872.60076
1996
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
Lectures on self-avoiding walks. Zbl 1317.60125
Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon
2012
Random walk on the incipient infinite cluster for oriented percolation in high dimensions. Zbl 1144.82030
Barlow, Martin T.; Járai, Antal A.; Kumagai, Takashi; Slade, Gordon
2008
The scaling limit of the incipient infinite cluster in high-dimensional percolation. II: Integrated super-Brownian excursion. Zbl 0977.82022
2000
Mean-field behaviour and the lace expansion. Zbl 0831.60107
1994
On the upper critical dimension of lattice trees and lattice animals. Zbl 0718.60117
1990
The lace expansion and its application. École d’Été de Probabilités de Saint-Flour XXXIV – 2004. Zbl 1113.60005
2006
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 generalised inductive approach to the lace expansion. Zbl 1002.60095
2002
The diffusion of self-avoiding random walk in high dimensions. Zbl 0628.60073
1987
A renormalisation group method. III. Perturbative analysis. Zbl 1319.82008
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2015
The scaling limit of lattice trees in high dimensions. Zbl 0915.60076
1998
A renormalisation group method. V. A single renormalisation group step. Zbl 1317.82016
2015
Functional integral representations for self-avoiding walk. Zbl 1193.82014
Brydges, David C.; Imbrie, John Z.; Slade, Gordon
2009
Convergence of critical oriented percolation to super-Brownian motion above $$4+1$$ dimensions. Zbl 1020.60099
2003
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
2015
Random subgraphs of finite graphs. III: The phase transition for the $$n$$-cube. Zbl 1121.05108
Borgs, Christian; Chayes, Jennifer T.; van der Hofstad, Remco; Slade, Gordon; Spencer, Joel
2006
A renormalisation group method. II. Approximation by local polynomials. Zbl 1317.82014
2015
A renormalisation group method. IV. Stability analysis. Zbl 1317.82015
2015
The self-avoiding walk. Reprint of the 1996 edition. Zbl 1254.01051
2013
Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation. Zbl 0867.35090
1996
The scaling limit of the incipient infinite cluster in high-dimensional percolation. I: Critical exponents. Zbl 0968.82016
2000
The diffusive phase of a model of self-interacting walks. Zbl 0832.60096
1995
Structural stability of a dynamical system near a non-hyperbolic fixed point. Zbl 1347.37041
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2015
Expansion in $$n^{-1}$$ for percolation critical values on the $$n$$-cube and $$\mathbb Z^n$$: the first three terms. Zbl 1102.60090
2006
Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher. Zbl 1230.82028
2011
The number and size of branched polymers in high dimensions. Zbl 0925.82231
1992
Scaling limits and super-Brownian motion. Zbl 1126.60322
2002
Invasion percolation on regular trees. Zbl 1145.60050
Angel, Omer; Goodman, Jesse; den Hollander, Frank; Slade, Gordon
2008
The self-avoiding-walk and percolation critical points in high dimensions. Zbl 0838.60087
1995
Asymptotic expansions in $$n^{-1}$$ for percolation critical values on the $$n$$-cube and $$\mathbb Z^n$$. Zbl 1077.60077
2005
Construction of the Incipient Infinite cluster for spread-out oriented percolation above $$4 + 1$$ dimensions. Zbl 1013.82017
2002
Critical correlation functions for the 4-dimensional weakly self-avoiding walk and $$n$$-component $$|\varphi|^4$$ model. Zbl 1342.82070
2016
The scaling limit of self-avoiding random walk in high dimensions. Zbl 0664.60069
1989
Lattice trees and super-Brownian motion. Zbl 0874.60091
1997
Convergence of self-avoiding random walk to Brownian motion in high dimensions. Zbl 0653.60061
1988
New lower bounds on the self-avoiding-walk connective constant. Zbl 1100.82513
Hara, Takashi; Slade, Gordon; Sokal, Alan D.
1993
The survival probability for critical spread-out oriented percolation above $$4+1$$ dimensions. II: Expansion. Zbl 1134.60063
2007
Self-avoiding walk enumeration via the lace expansion. Zbl 1136.82020
Clisby, Nathan; Liang, Richard; Slade, Gordon
2007
A new inductive approach to the lace expansion for self-avoiding walks. Zbl 0906.60078
1998
Introduction to a renormalisation group method. Zbl 07103768
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2019
Critical two-point function for long-range $$O(n)$$ models below the upper critical dimension. Zbl 1387.82012
Lohmann, Martin; Slade, Gordon; Wallace, Benjamin C.
2017
Critical exponents for long-range $$\mathrm O(n)$$ models below the upper critical dimension. Zbl 1391.82022
2018
Critical behaviour of self-avoiding walk in five or more dimensions. Zbl 0728.60103
1991
The survival probability for critical spread-out oriented percolation above $$4 + 1$$ dimensions. I. Induction. Zbl 1130.60094
2007
Lattice trees, percolation and super-Brownian motion. Zbl 0942.60072
1999
The self-avoiding walk: a brief survey. Zbl 1230.60106
2011
Finite-order correlation length for four-dimensional weakly self-avoiding walk and $${|\varphi|^4}$$ spins. Zbl 1357.81136
Bauerschmidt, Roland; Slade, Gordon; Tomberg, Alexandre; Wallace, Benjamin C.
2017
The growth constants of lattice trees and lattice animals in high dimensions. Zbl 1225.60154
2011
Mean-field lattice trees. Zbl 0934.60089
1999
The strong interaction limit of continuous-time weakly self-avoiding walk. Zbl 1246.82042
Brydges, David C.; Dahlqvist, Antoine; Slade, Gordon
2012
Four-dimensional weakly self-avoiding walk with contact self-attraction. Zbl 1376.82086
Bauerschmidt, Roland; Slade, Gordon; Wallace, Benjamin C.
2017
The incipient infinite cluster in high-dimensional percolation. Zbl 0902.60087
1998
Self-avoiding walks. Zbl 0795.60065
1994
The lace expansion on a tree with application to networks of self-avoiding walks. Zbl 1027.60098
2003
An extension of the inductive approach to the lace expansion. Zbl 1189.60177
2008
Polygons and the lace expansion. Zbl 1180.82074
2009
A collapse transition for self-attracting walks. Zbl 0847.60095
1994
High-dimensional graphical networks of self-avoiding walks. Zbl 1137.82313
Holmes, Mark; Járai, Antal A.; Sakai, Akira; Slade, Gordon
2004
Expansion in high dimension for the growth constants of lattice trees and lattice animals. Zbl 1346.60140
2013
The lace expansion and the upper critical dimension for percolation. Zbl 0731.60095
1991
The critical behavior of random systems. Zbl 0843.60089
1995
The loop expansion for the effective potential in the $$P(\Phi)_ 2$$ quantum field theory. Zbl 0601.46068
1985
The triangle condition for percolation. Zbl 0698.60099
1989
Spatial moments for high-dimensional critical contact process, oriented percolation and lattice trees. Zbl 1466.60213
2019
Three-dimensional tricritical spins and polymers. Zbl 1434.82094
Bauerschmidt, Roland; Lohmann, Martin; Slade, Gordon
2020
Three-dimensional tricritical spins and polymers. Zbl 1434.82094
Bauerschmidt, Roland; Lohmann, Martin; Slade, Gordon
2020
Introduction to a renormalisation group method. Zbl 07103768
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
2019
Spatial moments for high-dimensional critical contact process, oriented percolation and lattice trees. Zbl 1466.60213
2019
Critical exponents for long-range $$\mathrm O(n)$$ models below the upper critical dimension. Zbl 1391.82022
2018
Critical two-point function for long-range $$O(n)$$ models below the upper critical dimension. Zbl 1387.82012
Lohmann, Martin; Slade, Gordon; Wallace, Benjamin C.
2017
Finite-order correlation length for four-dimensional weakly self-avoiding walk and $${|\varphi|^4}$$ spins. Zbl 1357.81136
Bauerschmidt, Roland; Slade, Gordon; Tomberg, Alexandre; Wallace, Benjamin C.
2017
Four-dimensional weakly self-avoiding walk with contact self-attraction. Zbl 1376.82086
Bauerschmidt, Roland; Slade, Gordon; Wallace, Benjamin C.
2017
Critical correlation functions for the 4-dimensional weakly self-avoiding walk and $$n$$-component $$|\varphi|^4$$ model. Zbl 1342.82070
2016
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
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
2015
A renormalisation group method. II. Approximation by local polynomials. Zbl 1317.82014
2015
A renormalisation group method. IV. Stability analysis. Zbl 1317.82015
2015
Structural stability of a dynamical system near a non-hyperbolic fixed point. Zbl 1347.37041
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
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
The self-avoiding walk. Reprint of the 1996 edition. Zbl 1254.01051
2013
Expansion in high dimension for the growth constants of lattice trees and lattice animals. Zbl 1346.60140
2013
Lectures on self-avoiding walks. Zbl 1317.60125
Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon
2012
The strong interaction limit of continuous-time weakly self-avoiding walk. Zbl 1246.82042
Brydges, David C.; Dahlqvist, Antoine; Slade, Gordon
2012
Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher. Zbl 1230.82028
2011
The self-avoiding walk: a brief survey. Zbl 1230.60106
2011
The growth constants of lattice trees and lattice animals in high dimensions. Zbl 1225.60154
2011
Functional integral representations for self-avoiding walk. Zbl 1193.82014
Brydges, David C.; Imbrie, John Z.; Slade, Gordon
2009
Polygons and the lace expansion. Zbl 1180.82074
2009
Random walk on the incipient infinite cluster for oriented percolation in high dimensions. Zbl 1144.82030
Barlow, Martin T.; Járai, Antal A.; Kumagai, Takashi; Slade, Gordon
2008
Invasion percolation on regular trees. Zbl 1145.60050
Angel, Omer; Goodman, Jesse; den Hollander, Frank; Slade, Gordon
2008
An extension of the inductive approach to the lace expansion. Zbl 1189.60177
2008
The survival probability for critical spread-out oriented percolation above $$4+1$$ dimensions. II: Expansion. Zbl 1134.60063
2007
Self-avoiding walk enumeration via the lace expansion. Zbl 1136.82020
Clisby, Nathan; Liang, Richard; Slade, Gordon
2007
The survival probability for critical spread-out oriented percolation above $$4 + 1$$ dimensions. I. Induction. Zbl 1130.60094
2007
The lace expansion and its application. École d’Été de Probabilités de Saint-Flour XXXIV – 2004. Zbl 1113.60005
2006
Random subgraphs of finite graphs. III: The phase transition for the $$n$$-cube. Zbl 1121.05108
Borgs, Christian; Chayes, Jennifer T.; van der Hofstad, Remco; Slade, Gordon; Spencer, Joel
2006
Expansion in $$n^{-1}$$ for percolation critical values on the $$n$$-cube and $$\mathbb Z^n$$: the first three terms. Zbl 1102.60090
2006
Random subgraphs of finite graphs. I: The scaling window under the triangle condition. Zbl 1076.05071
Borgs, Christian; Chayes, Jennifer T.; van der Hofstad, Remco; Slade, Gordon; Spencer, Joel
2005
Random subgraphs of finite graphs. II: The lace expansion and the triangle condition. Zbl 1079.05087
Borgs, Christian; Chayes, Jennifer T.; van der Hofstad, Remco; Slade, Gordon; Spencer, Joel
2005
Asymptotic expansions in $$n^{-1}$$ for percolation critical values on the $$n$$-cube and $$\mathbb Z^n$$. Zbl 1077.60077
2005
High-dimensional graphical networks of self-avoiding walks. Zbl 1137.82313
Holmes, Mark; Járai, Antal A.; Sakai, Akira; Slade, Gordon
2004
Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models. Zbl 1044.82006
2003
Convergence of critical oriented percolation to super-Brownian motion above $$4+1$$ dimensions. Zbl 1020.60099
2003
The lace expansion on a tree with application to networks of self-avoiding walks. Zbl 1027.60098
2003
A generalised inductive approach to the lace expansion. Zbl 1002.60095
2002
Scaling limits and super-Brownian motion. Zbl 1126.60322
2002
Construction of the Incipient Infinite cluster for spread-out oriented percolation above $$4 + 1$$ dimensions. Zbl 1013.82017
2002
The scaling limit of the incipient infinite cluster in high-dimensional percolation. II: Integrated super-Brownian excursion. Zbl 0977.82022
2000
The scaling limit of the incipient infinite cluster in high-dimensional percolation. I: Critical exponents. Zbl 0968.82016
2000
Lattice trees, percolation and super-Brownian motion. Zbl 0942.60072
1999
Mean-field lattice trees. Zbl 0934.60089
1999
The scaling limit of lattice trees in high dimensions. Zbl 0915.60076
1998
A new inductive approach to the lace expansion for self-avoiding walks. Zbl 0906.60078
1998
The incipient infinite cluster in high-dimensional percolation. Zbl 0902.60087
1998
Lattice trees and super-Brownian motion. Zbl 0874.60091
1997
The self-avoiding walk. pbk ed. Zbl 0872.60076
1996
Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation. Zbl 0867.35090
1996
The diffusive phase of a model of self-interacting walks. Zbl 0832.60096
1995
The self-avoiding-walk and percolation critical points in high dimensions. Zbl 0838.60087
1995
The critical behavior of random systems. Zbl 0843.60089
1995
Mean-field behaviour and the lace expansion. Zbl 0831.60107
1994
Self-avoiding walks. Zbl 0795.60065
1994
A collapse transition for self-attracting walks. Zbl 0847.60095
1994
The self-avoiding walk. Zbl 0780.60103
1993
New lower bounds on the self-avoiding-walk connective constant. Zbl 1100.82513
Hara, Takashi; Slade, Gordon; Sokal, Alan D.
1993
Self-avoiding walk in five or more dimensions. I: The critical behaviour. Zbl 0755.60053
1992
The lace expansion for self-avoiding walk in five or more dimensions. Zbl 0755.60054
1992
The number and size of branched polymers in high dimensions. Zbl 0925.82231
1992
Critical behaviour of self-avoiding walk in five or more dimensions. Zbl 0728.60103
1991
The lace expansion and the upper critical dimension for percolation. Zbl 0731.60095
1991
Mean-field critical behaviour for percolation in high dimensions. Zbl 0698.60100
1990
On the upper critical dimension of lattice trees and lattice animals. Zbl 0718.60117
1990
The scaling limit of self-avoiding random walk in high dimensions. Zbl 0664.60069
1989
The triangle condition for percolation. Zbl 0698.60099
1989
Convergence of self-avoiding random walk to Brownian motion in high dimensions. Zbl 0653.60061
1988
The diffusion of self-avoiding random walk in high dimensions. Zbl 0628.60073
1987
The loop expansion for the effective potential in the $$P(\Phi)_ 2$$ quantum field theory. Zbl 0601.46068
1985
all top 5

#### Cited by 513 Authors

 42 Slade, Gordon 34 van der Hofstad, Remco W. 15 Sakai, Akira 13 Brydges, David C. 13 Hara, Takashi 12 Bauerschmidt, Roland 12 Nachmias, Asaf 11 Hutchcroft, Tom 11 Kozma, Gady 10 Duminil-Copin, Hugo 9 Grimmett, Geoffrey R. 9 Heydenreich, Markus 9 Kennedy, Tom 9 Madras, Neal 9 Sokal, Alan D. 8 Hammond, Alan 8 Holmes, Mark P. 8 Janse van Rensburg, Esaias J. 8 Schramm, Oded 7 den Hollander, Frank 7 Guttmann, Anthony John 7 Peres, Yuval 6 Bousquet-Mélou, Mireille 6 Chen, Lung-Chi 6 Lawler, Gregory Francis 6 Rechnitzer, Andrew Daniel 6 Whittington, Stuart G. 5 Benjamini, Itai 5 Goodman, Jesse 5 Helmuth, Tyler 5 Járai, Antal A. 5 Li, Zhongyang 5 Perkins, Edwin A. 5 Sapozhnikov, Artëm 4 Bollobás, Béla 4 Borgs, Christian 4 Chayes, Jennifer Tour 4 Flores, Steven M. 4 Hulshof, Tim 4 Kleban, Peter 4 König, Wolfgang Dieter 4 Lohmann, Martin 4 Mitter, Pronob K. 4 Orlandini, Enzo 4 Taggi, Lorenzo 3 Alkhimov, V. I. 3 Angel, Omer 3 Asselah, Amine 3 Barlow, Martin T. 3 Ben Arous, Gérard 3 Bolthausen, Erwin 3 Caracciolo, Sergio 3 Černý, Jiří 3 Chayes, Lincoln 3 Cox, J. Theodore 3 Croydon, David A. 3 Damron, Michael 3 Fröhlich, Jürg Martin 3 Garoni, Timothy M. 3 Janson, Svante 3 Kumagai, Takashi 3 Le Gall, Jean-François 3 Luczak, Malwina J. 3 Pelissetto, Andrea 3 Sidoravicius, Vladas 3 Spencer, Joel H. 3 Steif, Jeffrey E. 3 Sumners, De Witt L. 3 Thomann, Laurent 3 Thomas, Lawrence E. 3 Vazquez, Mariel 3 Wallace, Benjamin C. 3 Xiang, Kai-Nan 3 Yang, Wei-Shih 3 Zeilberger, Doron 2 Ahlberg, Daniel 2 Aichholzer, Oswin 2 Aizenman, Michael 2 Balogh, József 2 Bandyopadhyay, Antar 2 Barequet, Gill 2 Betz, Volker 2 Biskup, Marek 2 Bourgain, Jean 2 Cabezas, Manuel 2 Chatterjee, Sourav 2 Chen, Xia 2 Clisby, Nathan 2 Demaine, Erik D. 2 Deng, Youjin 2 Durhuus, Bergfinnur 2 Elezović-Hadžić, Sunčica 2 Fitzner, Robert 2 Fresta, Luca 2 Fribergh, Alexander 2 Garban, Christophe 2 Gherardi, Marco 2 Giscard, Pierre-Louis 2 Golowich, Steven E. 2 Gubinelli, Massimiliano ...and 413 more Authors
all top 5

#### Cited in 108 Serials

 77 Journal of Statistical Physics 45 The Annals of Probability 42 Communications in Mathematical Physics 33 Probability Theory and Related Fields 19 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 13 Stochastic Processes and their Applications 12 Random Structures & Algorithms 10 Electronic Journal of Probability 10 Journal of Physics A: Mathematical and Theoretical 9 Journal of Mathematical Physics 9 Combinatorics, Probability and Computing 8 Journal of Theoretical Probability 7 Discrete Mathematics 7 The Annals of Applied Probability 5 Journal of Combinatorial Theory. Series A 5 Journal of the European Mathematical Society (JEMS) 5 Annales Henri Poincaré 4 Communications on Pure and Applied Mathematics 4 Letters in Mathematical Physics 4 Physics Reports 4 Inventiones Mathematicae 4 Combinatorica 4 Journal of Knot Theory and its Ramifications 4 Journal of Mathematical Chemistry 4 Annals of Combinatorics 4 Annals of Mathematics. Second Series 3 Nuclear Physics. B 3 Acta Mathematica 3 Transactions of the American Mathematical Society 3 Advances in Applied Mathematics 3 Computational Geometry 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of High Energy Physics 3 Brazilian Journal of Probability and Statistics 3 Journal of Statistical Mechanics: Theory and Experiment 3 Probability Surveys 2 Computer Physics Communications 2 Discrete Applied Mathematics 2 Israel Journal of Mathematics 2 Theoretical and Mathematical Physics 2 Advances in Mathematics 2 Statistica Neerlandica 2 Theoretical Computer Science 2 Theoretical Population Biology 2 European Journal of Combinatorics 2 Statistics & Probability Letters 2 Journal of the American Mathematical Society 2 SIAM Journal on Discrete Mathematics 2 Geometric and Functional Analysis. GAFA 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Difference Equations and Applications 2 Electronic Communications in Probability 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Advances in Applied Probability 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Metrika 1 Reviews of Modern Physics 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 1 Duke Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Journal of Statistical Planning and Inference 1 Memoirs of the American Mathematical Society 1 Networks 1 Proceedings of the American Mathematical Society 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Topology and its Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Graphs and Combinatorics 1 Statistical Science 1 Revista Matemática Iberoamericana 1 Information and Computation 1 Journal of Economic Dynamics & Control 1 Annals of Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Experimental Mathematics 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Selecta Mathematica. New Series 1 Electronic Research Announcements of the American Mathematical Society 1 Bernoulli 1 Constraints 1 Theory of Computing Systems 1 Differential Equations and Dynamical Systems 1 Mathematical Physics, Analysis and Geometry 1 Taiwanese Journal of Mathematics 1 Macroeconomic Dynamics 1 Physical Review Letters 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Chebyshevskiĭ Sbornik ...and 8 more Serials
all top 5

#### Cited in 41 Fields

 305 Probability theory and stochastic processes (60-XX) 289 Statistical mechanics, structure of matter (82-XX) 102 Combinatorics (05-XX) 50 Quantum theory (81-XX) 32 Partial differential equations (35-XX) 17 Biology and other natural sciences (92-XX) 14 Computer science (68-XX) 13 Manifolds and cell complexes (57-XX) 12 Numerical analysis (65-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 4 Group theory and generalizations (20-XX) 4 Convex and discrete geometry (52-XX) 4 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.