| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1156032 | Stochastic Processes and their Applications | 2010 | 23 Pages |
Abstract
We study stability of a growth process generated by sequential adsorption of particles on a one-dimensional lattice torus, that is, the process formed by the numbers of adsorbed particles at lattice sites, called heights. Here the stability of process, loosely speaking, means that its components grow at approximately the same rate. To assess stability quantitatively, we investigate the stochastic process formed by differences of heights.The model can be regarded as a variant of a Pólya urn scheme with local geometric interaction.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Vadim Shcherbakov, Stanislav Volkov,