A. Járai

activity

20062018

most citedRandom walk on the incipient infinite cluster for oriented percolation in high dimensions

2 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.PR2018

Mean-field avalanche size exponent for sandpiles on Galton-Watson trees

Antal Jarai, Wioletta M. Ruszel, Ellen Saada

We show that in abelian sandpiles on infinite Galton-Watson trees, the probability that the total avalanche has more than $t$ topplings decays as $t^{- 1/2}$ . We prove both quenched…

math.PR2011★ 2 cited

Rate of convergence estimates for the zero dissipation limit in Abelian sandpiles

Antal A. Járai

We consider a continuous height version of the Abelian sandpile model with small amount of bulk dissipation gamma > 0 on each toppling, in dimensions d = 2, 3. In the limit gamma -…

math.PR2006★ 2 cited

Random walk on the incipient infinite cluster for oriented percolation in high dimensions

Martin T. Barlow, Antal A. Jarai, Takashi Kumagai +1

We consider simple random walk on the incipient infinite cluster for the spread-out model of oriented percolation on $Z^{d} \times Z_{+}$ . In dimensions $d > 6$ , we obtain bounds on exit…