Antal A. Járai: Preprints and publications

• A.A. Járai, C. Mönch and L. Taggi:
  The critical window in activated random walk on the complete graph.
  arXiv:2304.10169
  
• A.A. Járai:
  Edgeworth expansion with error estimates for power law shot noise.
  arXiv:1912.07275
  

• A.A. Járai and M. Sun:
  Interlacement limit of a stopped random walk trace on a torus.
  Advances in Applied Probability, 56 (2024) 354-388. arXiv:2108.12629
  
• A.A. Járai:
  Asymptotics of the optimum in discrete sequential assignment.
  Stochastic Processes and their Applications, 148 (2022) 267-277. arXiv:1912.06419
  
• A.A. Járai and D. Mata Lopez:
  Logarithmic correction to resistance.
  Annales l'Institut Henri Poincaré, Probabilités et Statistiques, 58 (2022) 1775-1807. arXiv:2006.03988
  
• O. Angel, T. Hutchcroft and A.A. Járai:
  On the tail of the branching random walk local time.
  Probability Theory and Related Fields, 180 (2021) 467-494. arXiv:2002.12188
  
• A.A. Járai and M. Sun:
  Asymptotic height distribution in high-dimensional sandpiles.
  Journal of Theoretical Probability, 34 (2021) 349-362. arXiv:1911.01762
  
• A.A. Járai, W.M. Ruszel and E. Saada:
  Mean-field avalanche size exponent for sandpiles on Galton-Watson trees.
  Probability Theory and Related Fields, 177 (2020) 369-396. arXiv:1807.01809
  
• A.A. Járai and M. Sun:
  Toppling and height probabilities in sandpiles.
  Journal of Statistical Mechanics - Theory and Experiment (2019) 113204.
  
• M.T. Barlow and A.A. Járai:
  Geometry of the uniform spanning forest components in high dimensions.
  Canadian Journal of Mathematics, (2019) 1-25. arXiv:1602.01505
  
• A.A. Járai:
  Sandpile models.
  Probability Surveys, 15 (2018) 243-306. arXiv:1401.0354
  
• S. Bhupatiraju, J. Hanson and A.A. Járai:
  Inequalities for critical exponents in d-dimensional sandpiles.
  Electronic Journal of Probability, 22 (2017) paper no. 85, 51 pp. arXiv:1602.06475
  
• A.A. Járai:
  Phase transition in a sequential assignment problem on graphs.
  Annals of Applied Probability, 27 (2017) 2098-2129. arXiv:1507.04169
  
• A.A. Járai, F. Redig and E. Saada:
  Approaching criticality via the zero dissipation limit in the abelian avalanche model.
  Journal of Statistical Physics, 159 (2015) 1369-1407. arXiv:0906.3128
  
• S.L. Gamlin and A.A. Járai:
  Anchored burning bijections on finite and infinite graphs.
  Electronic Journal of Probability, 19 (2014) paper no. 117. arXiv:1405.5397
  
• A.A. Járai and A. Nachmias:
  Electrical resistance of the low dimensional critical branching random walk.
  Communications in Mathematical Physics, 331 (2014) 67-109. arXiv:1305.1092
  
• A.A. Járai and N. Werning:
  Minimal configurations and sandpile measures.
  Journal of Theoretical Probability, 27 (2014) 153-167. arXiv:1110.4523v2
  
• A.A. Járai:
  Abelian sandpiles: an overview and results on certain transitive graphs. PDF
  Markov Processes and Related Fields, 18 (2012) 111-156. arXiv:1106.5358v2
  
• M.T. Barlow, A.A. Járai, T. Kumagai and G. Slade:
  Random walk on the incipient infinite cluster for oriented percolation in high dimensions.
  Communications in Mathematical Physics, 278 (2008) 385-431. arXiv:math/0608164v2
  
• A.A. Járai and F. Redig:
  Infinite volume limit of the Abelian sandpile model in dimensions d ≥ 3.
  Probability Theory and Related Fields, 141 (2008) 181-212. arXiv:math/0408060v3
  
• J. van den Berg, A.A. Járai and B. Vágvölgyi:
  The size of a pond in 2D invasion percolation.
  Electronic Communications in Probability, 12 (2007) 411-420.
• A.A. Járai and R. Lyons:
  Ladder sandpiles. PDF
  Markov Processes and Related Fields 13 (2007) 493-518. arXiv:0704.2913v2
  
• A.A. Járai:
  Thermodynamic limit of the Abelian sandpile model on Z^d. PDF
  Markov Processes and Related Fields 11 (2005) 313--336.
• A.A. Járai and H. Kesten:
  A bound for the distribution of the hitting time of arbitrary sets by random walk.
  Electronic Communications in Probability, 9 (2004) 152-161.
• J. van den Berg and A.A. Járai:
  On the asymptotic density in a one-dimensional self-organized critical forest-fire model.
  Communications in Mathematical Physics 253 (2005) 633-644.
• S.R. Athreya and A.A. Járai:
  Infinite volume limit for the stationary distribution of Abelian sandpile models.
  Communications in Mathematical Physics, 249 (2004) 197-213.
  Erratum: Communications in Mathematical Physics, 264 (2006) 843.
• R. van der Hofstad and A.A. Járai:
  The incipient infinite cluster for high-dimensional unoriented percolation.
  Journal of Statistical Physics 114 (2004) 625-663.
• A.A. Járai:
  Invasion percolation and the incipient infinite cluster in 2D.
  Communications in Mathematical Physics 236 (2003) 311-334.
• M. Holmes, A.A. Járai, A. Sakai and G. Slade:
  High-dimensional graphical networks of self-avoiding walks.
  Canadian Journal of Mathematics 56 (2004) 77-114.
• J. van den Berg and A.A. Járai:
  The lowest crossing in 2D critical percolation.
  Annals of Probability 31 (2003) 1241-1253.
• A.A. Járai:
  Incipient infinite percolation clusters in 2D.
  Annals of Probability 31 (2003) 444-485.
• A.A. Járai:
  On the monoid of singular braids.
  Topology and its applications 96 (1999) 109-119.

• A.A. Járai:
  The dice and numbers game.
  The Mathematical Gazette 100 (2016) 410-419.