Name
Abstract | ||
|---|---|---|
This paper deals with the Abelian sandpile model on the generalized trees with certain given boundary condition. Using a combinatorial method, we obtain the exact expressions for all single-site probabilities and some two-site joint probabilities. Also, we prove that the sites near the boundary have a different height probability from those away from it in bulk for the Bethe lattice with the boundary condition, which is the same as those results found by Grassberger and Manna ["Some more sandpiles," J.Phys. (France) 51,1077-1098(1990)] and proved by Haiyan chen and Fuji Zhang ["Height probabilities in the Abelian sandpile on the generalized finite Bethe lattice" J. Math. Phys. 54, 083503 (2013)]. |
Year | Venue | Field |
|---|---|---|
2014 | ARS COMBINATORIA | Discrete mathematics,Abelian sandpile model,Mathematics |
DocType | Volume | ISSN |
Journal | 117 | 0381-7032 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaoxia Wu | 1 | 535 | 38.61 |
| Lian-zhu Zhang | 2 | 0 | 0.34 |
| Hawei Dong | 3 | 0 | 0.34 |
| Chengfu Qin | 4 | 0 | 0.34 |