Edit Profile (opens in new tab) Járai, Antal A. Compute Distance To: Compute Author ID: jarai.antal-a Published as: Járai, Antal A.; Járai, A. A.; Jarai, Antal A. more...less Homepage: http://people.bath.ac.uk/aj276/ External Links: MGP Documents Indexed: 32 Publications since 2003 Biographic References: 1 Publication Co-Authors: 24 Co-Authors with 21 Joint Publications 541 Co-Co-Authors all top 5 Co-Authors 10 single-authored 3 van den Berg, Rob 2 Barlow, Martin T. 2 Redig, Frank 2 Saada, Ellen 2 Slade, Gordon 2 Sun, Minwei 1 Angel, Omer 1 Athreya, Siva R. 1 Bhupatiraju, Sandeep 1 Briggs, Keith M. 1 Dawes, Jonathan H. P. 1 Gamlin, Samuel L. 1 Hanson, Jack 1 Holmes, Mark P. 1 Hutchcroft, Tom 1 Kesten, Harry 1 Kumagai, Takashi 1 López, Dante Mata 1 Lyons, Russell 1 Middleton, Amy L. L. 1 Nachmias, Asaf 1 Ruszel, Wioletta Magdalena 1 Sakai, Akira 1 Vagvölgyi, Bálint 1 van der Hofstad, Remco W. 1 Werning, Nicolás all top 5 Serials 5 Communications in Mathematical Physics 3 Probability Theory and Related Fields 3 Markov Processes and Related Fields 2 Journal of Statistical Physics 2 The Annals of Probability 2 Canadian Journal of Mathematics 2 Journal of Theoretical Probability 2 Electronic Journal of Probability 2 Electronic Communications in Probability 1 IMA Journal of Applied Mathematics 1 The Mathematical Gazette 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 The Annals of Applied Probability 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Statistical Mechanics: Theory and Experiment 1 Probability Surveys all top 5 Fields 26 Probability theory and stochastic processes (60-XX) 22 Statistical mechanics, structure of matter (82-XX) 3 Combinatorics (05-XX) 3 Operations research, mathematical programming (90-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 184 times in 111 Documents Cited by ▼ Year ▼ Random walk on the incipient infinite cluster for oriented percolation in high dimensions. Zbl 1144.82030Barlow, Martin T.; Járai, Antal A.; Kumagai, Takashi; Slade, Gordon 34 2008 The incipient infinite cluster for high-dimensional unoriented percolation. Zbl 1061.82016van der Hofstad, Remco; Járai, Antal A. 18 2004 Invasion percolation and the incipient infinite cluster in 2D. Zbl 1041.82020Járai, Antal A. 16 2003 Infinite volume limit for the stationary distribution of Abelian sandpile models. Zbl 1085.82005Athreya, Siva R.; Járai, Antal A. 15 2004 Sandpile models. Zbl 1409.60144Járai, Antal A. 13 2018 Incipient infinite percolation clusters in 2D. Zbl 1061.60106Járai, Antal A. 13 2003 Infinite volume limit of the abelian sandpile model in dimensions \(d \geq 3\). Zbl 1135.60342Járai, Antal A.; Redig, Frank 12 2008 Minimal configurations and sandpile measures. Zbl 1307.60143Járai, Antal A.; Werning, Nicolás 10 2014 Approaching criticality via the zero dissipation limit in the abelian avalanche model. Zbl 1323.82031Járai, Antal A.; Redig, Frank; Saada, Ellen 9 2015 On the asymptotic density in a one-dimensional self-organized critical forest-fire model. Zbl 1079.82010van den Berg, J.; Járai, A. A. 6 2005 Thermodynamic limit of the Abelian sandpile model on \(\mathbb Z^d\). Zbl 1086.60063Járai, A. A. 6 2005 Inequalities for critical exponents in \(d\)-dimensional sandpiles. Zbl 1386.60318Bhupatiraju, Sandeep; Hanson, Jack; Járai, Antal A. 6 2017 The size of a pond in 2D invasion percolation. Zbl 1128.60087van den Berg, Jacob; Jarai, Antal A.; Vagvölgyi, Bálint 5 2007 Electrical resistance of the low dimensional critical branching random walk. Zbl 1312.60101Járai, Antal A.; Nachmias, Asaf 4 2014 Anchored burning bijections on finite and infinite graphs. Zbl 1341.60126Gamlin, Samuel L.; Járai, Antal A. 3 2014 Abelian sandpiles: an overview and results on certain transitive graphs. Zbl 1266.60158Járai, A. A. 3 2012 Ladder sandpiles. Zbl 1136.82343Járai, A. A.; Lyons, R. 3 2007 The lowest crossing in two-dimensional critical percolation. Zbl 1087.60076van den Berg, J.; Járai, A. A. 2 2003 Geometry of uniform spanning forest components in high dimensions. Zbl 1472.60018Barlow, Martin T.; Járai, Antal A. 2 2019 High-dimensional graphical networks of self-avoiding walks. Zbl 1137.82313Holmes, Mark; Járai, Antal A.; Sakai, Akira; Slade, Gordon 1 2004 A bound for the distribution of the hitting time of arbitrary sets by random walk. Zbl 1061.60045Járai, Antal A.; Kesten, Harry 1 2004 The dice-and-numbers game. Zbl 1384.97008Járai, Antal A. 1 2016 Phase transition in a sequential assignment problem on graphs. Zbl 1427.60214Járai, Antal A. 1 2017 Geometry of uniform spanning forest components in high dimensions. Zbl 1472.60018Barlow, Martin T.; Járai, Antal A. 2 2019 Sandpile models. Zbl 1409.60144Járai, Antal A. 13 2018 Inequalities for critical exponents in \(d\)-dimensional sandpiles. Zbl 1386.60318Bhupatiraju, Sandeep; Hanson, Jack; Járai, Antal A. 6 2017 Phase transition in a sequential assignment problem on graphs. Zbl 1427.60214Járai, Antal A. 1 2017 The dice-and-numbers game. Zbl 1384.97008Járai, Antal A. 1 2016 Approaching criticality via the zero dissipation limit in the abelian avalanche model. Zbl 1323.82031Járai, Antal A.; Redig, Frank; Saada, Ellen 9 2015 Minimal configurations and sandpile measures. Zbl 1307.60143Járai, Antal A.; Werning, Nicolás 10 2014 Electrical resistance of the low dimensional critical branching random walk. Zbl 1312.60101Járai, Antal A.; Nachmias, Asaf 4 2014 Anchored burning bijections on finite and infinite graphs. Zbl 1341.60126Gamlin, Samuel L.; Járai, Antal A. 3 2014 Abelian sandpiles: an overview and results on certain transitive graphs. Zbl 1266.60158Járai, A. A. 3 2012 Random walk on the incipient infinite cluster for oriented percolation in high dimensions. Zbl 1144.82030Barlow, Martin T.; Járai, Antal A.; Kumagai, Takashi; Slade, Gordon 34 2008 Infinite volume limit of the abelian sandpile model in dimensions \(d \geq 3\). Zbl 1135.60342Járai, Antal A.; Redig, Frank 12 2008 The size of a pond in 2D invasion percolation. Zbl 1128.60087van den Berg, Jacob; Jarai, Antal A.; Vagvölgyi, Bálint 5 2007 Ladder sandpiles. Zbl 1136.82343Járai, A. A.; Lyons, R. 3 2007 On the asymptotic density in a one-dimensional self-organized critical forest-fire model. Zbl 1079.82010van den Berg, J.; Járai, A. A. 6 2005 Thermodynamic limit of the Abelian sandpile model on \(\mathbb Z^d\). Zbl 1086.60063Járai, A. A. 6 2005 The incipient infinite cluster for high-dimensional unoriented percolation. Zbl 1061.82016van der Hofstad, Remco; Járai, Antal A. 18 2004 Infinite volume limit for the stationary distribution of Abelian sandpile models. Zbl 1085.82005Athreya, Siva R.; Járai, Antal A. 15 2004 High-dimensional graphical networks of self-avoiding walks. Zbl 1137.82313Holmes, Mark; Járai, Antal A.; Sakai, Akira; Slade, Gordon 1 2004 A bound for the distribution of the hitting time of arbitrary sets by random walk. Zbl 1061.60045Járai, Antal A.; Kesten, Harry 1 2004 Invasion percolation and the incipient infinite cluster in 2D. Zbl 1041.82020Járai, Antal A. 16 2003 Incipient infinite percolation clusters in 2D. Zbl 1061.60106Járai, Antal A. 13 2003 The lowest crossing in two-dimensional critical percolation. Zbl 1087.60076van den Berg, J.; Járai, A. A. 2 2003 all cited Publications top 5 cited Publications all top 5 Cited by 129 Authors 13 Járai, Antal A. 8 Damron, Michael 7 Hutchcroft, Tom 6 Kumagai, Takashi 6 van der Hofstad, Remco W. 5 Levine, Lionel 4 Angel, Omer 4 Croydon, David A. 4 Heydenreich, Markus 4 Nachmias, Asaf 4 Redig, Frank 4 Ruszel, Wioletta Magdalena 4 Saada, Ellen 4 Schramm, Oded 4 Slade, Gordon 3 Barlow, Martin T. 3 Goodman, Jesse 3 Hulshof, Tim 3 Kozma, Gady 3 Peres, Yuval 3 Sapozhnikov, Artëm 2 Ben Arous, Gérard 2 Benjamini, Itai 2 Bou-Rabee, Ahmed 2 Bressaud, Xavier 2 den Hollander, Frank 2 Duminil-Copin, Hugo 2 Forien, Nicolas 2 Fournier, Nicolas 2 Fribergh, Alexander 2 Hambly, Ben M. 2 Hanson, Jack 2 Kassel, Adrien 2 Misumi, Jun 2 Okamura, Kazuki 2 Pete, Gábor 2 Shiraishi, Daisuke 2 Shkolnikov, Mikhail 2 Sidoravicius, Vladas 2 Sosoe, Philippe 2 Sun, Minwei 2 van den Berg, Rob 2 Verbitskiy, Evgeny A. 1 Ahlberg, Daniel 1 Aizenman, Michael 1 Aspelmeier, Timo 1 Avena, Luca 1 Axelson-Fisk, Marina 1 Bandyopadhyay, Antar 1 Berche, Bertrand 1 Bertoin, Jean 1 Cabezas, Manuel 1 Can, Van Hao 1 Candellero, Elisabetta 1 Castell, Fabienne 1 Cerf, Raphaël 1 Chan, Swee Hong 1 Chayes, Lincoln 1 Cipriani, Alessandra 1 Crane, Edward 1 Curien, Nicolas 1 de Graaff, Jan 1 Delmotte, Thierry 1 Dereudre, David 1 Derycke, Henri 1 Durhuus, Bergfinnur 1 Dürre, Maximilian 1 Freiberg, Uta Renata 1 Ganguly, Shirshendu 1 Garban, Christophe 1 Gaudilliere, Alexandre 1 Graf, Robert 1 Gwynne, Ewain 1 Häggström, Olle 1 Hammond, Alan 1 Harper, David J. 1 Hernández-Torres, Saraí 1 Hough, Robert D. 1 Hutchinson, John Edward 1 Jerison, Daniel C. 1 Jonsson, Thordur 1 Kalinin, Nikita Sergeevich 1 Kaur, Gursharn 1 Kenna, Ralph 1 Kigami, Jun 1 Kudler-Flam, Jonah 1 Lang, Moritz 1 Le Borgne, Yvan 1 Lee, James R. 1 López, Dante Mata 1 Lyons, Russell 1 Masson, Robert D. 1 Matter, Michel 1 Mélot, Clothilde 1 Merle, Mathieu 1 Mészáros, András 1 Mourrat, Jean-Christophe 1 Nagel, Jan 1 Nagnibeda, Tatiana V. 1 Newman, Charles Michael ...and 29 more Authors all top 5 Cited in 34 Serials 16 Communications in Mathematical Physics 16 Probability Theory and Related Fields 14 The Annals of Probability 9 Journal of Statistical Physics 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of Theoretical Probability 5 Stochastic Processes and their Applications 4 Random Structures & Algorithms 2 Advances in Applied Probability 2 Journal of Mathematical Physics 2 Transactions of the American Mathematical Society 1 Israel Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Algebra 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Tokyo Journal of Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Combinatorics, Probability and Computing 1 Electronic Journal of Probability 1 Séminaire Lotharingien de Combinatoire 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Brazilian Journal of Probability and Statistics 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Statistical Mechanics: Theory and Experiment 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Physics A: Mathematical and Theoretical 1 Probability Surveys 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Cited in 17 Fields 87 Probability theory and stochastic processes (60-XX) 72 Statistical mechanics, structure of matter (82-XX) 30 Combinatorics (05-XX) 8 Partial differential equations (35-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Measure and integration (28-XX) 7 Potential theory (31-XX) 3 Group theory and generalizations (20-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year