Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On The Avalanche-finiteness Of Abelian Sandpiles   We prove a necessary and sufficient condition for an Abelian Sandpile Model
(ASM) to be avalanche-finite, namely: all unstable states of the system can be
brought back to stability in finite number of topplings. The method is also
computationally feasible since it involves no greater than $\mbox{O} \left( N^3
\right)$ arithmetic computations where $N$ is the total number of sites of the
system. Key words: Abelian sandpile model; avalanche-finiteness; self-organized
criticality

23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph