W. Ruszel

activity

20062026

most citedChaotic temperature dependence at zero temperature

61 citations · 128 across the 30 of their papers we have counts for

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Showing 2018 · math.PRShow all

3 papers · 2 filters

math.PR2018

Scaling limits in divisible sandpiles: a Fourier multiplier approach

Alessandra Cipriani, Jan de Graaff, Wioletta M. Ruszel

In this paper we complete the investigation of scaling limits of the odometer in divisible sandpiles on $d$ -dimensional tori generalising the works Chiarini et al. (2018), Cipriani…

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.PR2018★ 11 cited

Absence of Dobrushin states for $2 d$ long-range Ising models

Loren Coquille, Aernout C. D. van Enter, Arnaud Le Ny +1

We consider the two-dimensional Ising model with long-range pair interactions of the form $J_{x y} \sim ∣ x - y ∣^{- α}$ with $α > 2$ , mostly when $J_{x y} \geq 0$ . We show that Dobrushin sta…

Scaling limits in divisible sandpiles: a Fourier multiplier approach

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

Absence of Dobrushin states for 2d long-range Ising models

Absence of Dobrushin states for $2 d$ long-range Ising models