The existence of true scale-invariance in slowly driven models of self-organized criticality
without a conservation law, such as forest-fires or earthquake automata, is scrutinized in this …

We study the avalanche dynamics of a system of globally coupled threshold elements
receiving random input. The model belongs to the same universality class as the random …

We review the status of the two-dimensional Abelian sandpile model as a strong candidate
to provide a lattice realization of logarithmic conformal invariance with a central charge c …

This contribution is a review of the deep and powerful connection between the large-scale
properties of critical systems and their description in terms of a field theory. Although largely …

We consider the unoriented two-dimensional Abelian sandpile model from a perspective
based on two-dimensional (conformal) field theory. We compute lattice correlation functions …

Avalanche frontiers in Abelian sandpile model (ASM) are random simple curves whose
continuum limit is known to be a Schramm-Loewner evolution with diffusivity parameter κ= 2 …

We present a construction of an entropy-preserving equivariant surjective map from the d-
dimensional critical sandpile model to a certain closed, shift-invariant subgroup of T^ Z^ d …

We study the Abelian sandpile model on the upper half-plane, and reconsider the
correlations of the four height variables lying on the boundary. For more convenience, we …

We calculate all multipoint correlation functions of all local bond modifications in the two-
dimensional Abelian sandpile model, both at the critical point, and in the model with …

We consider the unoriented two-dimensional Abelian sandpile model on the half-plane with
open and closed boundary conditions, and relate it to the boundary logarithmic conformal …