We consider a one-dimensional discrete-space birth process with a bounded number of particle per site. Under the assumptions of the finite range of interaction, translation invariance, and non-degeneracy, we prove a shape theorem. We also derive a limit estimate and an exponential estimate on the fluctuations of the position of the rightmost particle.
A Shape Theorem for a One-Dimensional Growing Particle System with a Bounded Number of Occupants per Site
Bezborodov, V;Di Persio, L
;Krueger, T
2020-01-01
Abstract
We consider a one-dimensional discrete-space birth process with a bounded number of particle per site. Under the assumptions of the finite range of interaction, translation invariance, and non-degeneracy, we prove a shape theorem. We also derive a limit estimate and an exponential estimate on the fluctuations of the position of the rightmost particle.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Bezborodov2020_Article_AShapeTheoremForAOne-Dimension.pdf
accesso aperto
Tipologia:
Versione dell'editore
Licenza:
Dominio pubblico
Dimensione
724.45 kB
Formato
Adobe PDF
|
724.45 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
