Inequalities for critical exponents in $d$-dimensional sandpiles

Sandeep Bhupatiraju, Jack Hanson, Antal A. Járai

Consider the Abelian sandpile measure on ${\mathbb{Z}}^d$, $d\ge 2$, obtained as the $L\to \infty$ limit of the stationary distribution of the sandpile on $[-L,L]^d \cap \mathbb{Z}…