Angel, Omer; Hutchcroft, Tom; Járai, Antal On the tail of the branching random walk local time. (English) Zbl 1475.60161 Probab. Theory Relat. Fields 180, No. 1-2, 467-494 (2021). Reviewer: Weiping Li (Guanghan) MSC: 60J80 60J55 PDFBibTeX XMLCite \textit{O. Angel} et al., Probab. Theory Relat. Fields 180, No. 1--2, 467--494 (2021; Zbl 1475.60161) Full Text: DOI arXiv
Járai, Antal A.; Sun, Minwei Asymptotic height distribution in high-dimensional sandpiles. (English) Zbl 1476.60180 J. Theor. Probab. 34, No. 1, 349-362 (2021). MSC: 60K35 82C20 PDFBibTeX XMLCite \textit{A. A. Járai} and \textit{M. Sun}, J. Theor. Probab. 34, No. 1, 349--362 (2021; Zbl 1476.60180) Full Text: DOI arXiv
Járai, Antal A.; Ruszel, Wioletta M.; Saada, Ellen Mean-field avalanche size exponent for sandpiles on Galton-Watson trees. (English) Zbl 1434.60297 Probab. Theory Relat. Fields 177, No. 1-2, 369-396 (2020). MSC: 60K35 82C20 PDFBibTeX XMLCite \textit{A. A. Járai} et al., Probab. Theory Relat. Fields 177, No. 1--2, 369--396 (2020; Zbl 1434.60297) Full Text: DOI arXiv
Járai, Antal A.; Sun, Minwei Toppling and height probabilities in sandpiles. (English) Zbl 1457.82077 J. Stat. Mech. Theory Exp. 2019, No. 11, Article ID 113204, 26 p. (2019). MSC: 82B20 PDFBibTeX XMLCite \textit{A. A. Járai} and \textit{M. Sun}, J. Stat. Mech. Theory Exp. 2019, No. 11, Article ID 113204, 26 p. (2019; Zbl 1457.82077) Full Text: DOI
Járai, Antal A. The sandpile cellular automaton. (English) Zbl 1402.37018 Louis, Pierre-Yves (ed.) et al., Probabilistic cellular automata. Theory, applications and future perspectives. Cham: Springer (ISBN 978-3-319-65556-7/hbk; 978-3-319-65558-1/ebook). Emergence, Complexity and Computation 27, 79-88 (2018). MSC: 37B15 PDFBibTeX XMLCite \textit{A. A. Járai}, Emerg. Complex. Comput. 27, 79--88 (2018; Zbl 1402.37018) Full Text: DOI
Járai, Antal A. Sandpile models. (English) Zbl 1409.60144 Probab. Surv. 15, 243-306 (2018). MSC: 60K35 82B20 PDFBibTeX XMLCite \textit{A. A. Járai}, Probab. Surv. 15, 243--306 (2018; Zbl 1409.60144) Full Text: DOI arXiv Euclid
Járai, Antal A.; Redig, Frank; Saada, Ellen Approaching criticality via the zero dissipation limit in the abelian avalanche model. (English) Zbl 1323.82031 J. Stat. Phys. 159, No. 6, 1369-1407 (2015). MSC: 82C22 60K35 82C27 37A60 PDFBibTeX XMLCite \textit{A. A. Járai} et al., J. Stat. Phys. 159, No. 6, 1369--1407 (2015; Zbl 1323.82031) Full Text: DOI arXiv Link
Járai, Antal A.; Werning, Nicolás Minimal configurations and sandpile measures. (English) Zbl 1307.60143 J. Theor. Probab. 27, No. 1, 153-167 (2014). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 60K35 82C20 05C80 05C05 PDFBibTeX XMLCite \textit{A. A. Járai} and \textit{N. Werning}, J. Theor. Probab. 27, No. 1, 153--167 (2014; Zbl 1307.60143) Full Text: DOI arXiv Link
Járai, Antal A.; Redig, Frank Infinite volume limit of the abelian sandpile model in dimensions \(d \geq 3\). (English) Zbl 1135.60342 Probab. Theory Relat. Fields 141, No. 1-2, 181-212 (2008). MSC: 60K35 82C22 PDFBibTeX XMLCite \textit{A. A. Járai} and \textit{F. Redig}, Probab. Theory Relat. Fields 141, No. 1--2, 181--212 (2008; Zbl 1135.60342) Full Text: DOI arXiv
Athreya, Siva R.; Járai, Antal A. Infinite volume limit for the stationary distribution of Abelian sandpile models. (English) Zbl 1085.82005 Commun. Math. Phys. 249, No. 1, 197-213 (2004). Reviewer: Arkady L. Kholodenko (Clemson) MSC: 82C22 82B31 60K35 PDFBibTeX XMLCite \textit{S. R. Athreya} and \textit{A. A. Járai}, Commun. Math. Phys. 249, No. 1, 197--213 (2004; Zbl 1085.82005) Full Text: DOI Link