Abstract | ||
---|---|---|
We study a flow process in infinite graphs where vertices with large resources tend to attract resources from neighbors. The initial resources are random. An interesting question is whether in each finite region all motion stops after a finite time. Under certain assumptions, we prove that this is true. For some other cases, we prove a weaker stability result. We pay attention mostly to the case of Z2, but several results can be easily generalized to Zd. © 1991 Wiley Periodicals, Inc. |
Year | DOI | Venue |
---|---|---|
1991 | 10.1002/rsa.3240020308 | Random Struct. Algorithms |
Keywords | Field | DocType |
finite region,certain assumption,wiley periodicals,initial resource,infinite graph,interesting question,motion stop,stability property,flow process,large resource,finite time | Graph,Discrete mathematics,Combinatorics,Vertex (geometry),Flow (psychology),Mathematics,Finite time | Journal |
Volume | Issue | ISSN |
2 | 3 | 1042-9832 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
j van den berg | 1 | 135 | 19.90 |
R. W. J. Meester | 2 | 40 | 10.91 |