Add to ORKGWe study the abelian sandpile growth model, where n particles are added at the origin on a stable background configuration in Z^d. Any site with at least 2d particles then topples by sending one particle to each neighbor. We find that with constant background height h <= 2d-2, the diameter of the set of sites that topple has order n^{1/d}. This was previously known only for h<d. Our proof uses a strong form of the least action principle for sandpiles, and a novel method of background modification. We can extend this diameter bound to certain backgrounds in which an arbitrarily high fraction of sites have height 2d-1. On the other hand, we show that if the background height 2d-2 is augmented by 1 at an arbitrarily small fraction of sites c...
1.Introduction 2.Basic Properties of Dissipative Abelian Sandpile Model 3.Avalanche Propagators 4.He...
We study here a variant of the Abelian Sandpile Model, where the playground is a cylinder of width $...
Adding sand grains at a single site in the Abelian sandpile models produces beautiful but complex pa...
htmlabstractWe study the abelian sandpile growth model, where n particles are added at the origin on...
Abstract. We study the abelian sandpile growth model, where n particles are added at the origin on a...
We study the abelian sandpile growth model, where n particles are added at the origin on a stable ba...
We study the distribution function of avalanche size, Px(s), for a general Abelian sandpile as a fun...
We introduce a model for a sandpile, with N sites, critical height N and each site connected to ever...
An interesting feature of growth in animals is that different parts of the body grow at approximatel...
We have derived an exact expression for the determinant of the toppling matrix of the Abelian sandpi...
The avalanches in the Abelian sandpile model have a compact structure and consist of shells. The dif...
The avalanches in the Abelian sandpile model have a compact structure and consist of shells. The dif...
We consider toppling distributions for the Abelian sandpile model in one dimension. We study the ava...
A sufficient condition for which the particle addition operations commute in the eventual phase spac...
We consider the abelian stochastic sandpile model. In this model, a site is deemed unstable when it ...
1.Introduction 2.Basic Properties of Dissipative Abelian Sandpile Model 3.Avalanche Propagators 4.He...
We study here a variant of the Abelian Sandpile Model, where the playground is a cylinder of width $...
Adding sand grains at a single site in the Abelian sandpile models produces beautiful but complex pa...
htmlabstractWe study the abelian sandpile growth model, where n particles are added at the origin on...
Abstract. We study the abelian sandpile growth model, where n particles are added at the origin on a...
We study the abelian sandpile growth model, where n particles are added at the origin on a stable ba...
We study the distribution function of avalanche size, Px(s), for a general Abelian sandpile as a fun...
We introduce a model for a sandpile, with N sites, critical height N and each site connected to ever...
An interesting feature of growth in animals is that different parts of the body grow at approximatel...
We have derived an exact expression for the determinant of the toppling matrix of the Abelian sandpi...
The avalanches in the Abelian sandpile model have a compact structure and consist of shells. The dif...
The avalanches in the Abelian sandpile model have a compact structure and consist of shells. The dif...
We consider toppling distributions for the Abelian sandpile model in one dimension. We study the ava...
A sufficient condition for which the particle addition operations commute in the eventual phase spac...
We consider the abelian stochastic sandpile model. In this model, a site is deemed unstable when it ...
1.Introduction 2.Basic Properties of Dissipative Abelian Sandpile Model 3.Avalanche Propagators 4.He...
We study here a variant of the Abelian Sandpile Model, where the playground is a cylinder of width $...
Adding sand grains at a single site in the Abelian sandpile models produces beautiful but complex pa...