Explosion in a Growth Model with Cooperative Interaction on an In nite Graph

Número: 
4
Ano: 
2019
Autor: 
Bruna de Oliveira Gonçalves
Marina Vachkovskaia
Abstract: 

In this paper we study explosion/non-explosion of a continuous time growth process with cooperative interaction on Z+. We consider symmetric neighborhood and di erent types of rate functions and prove that explosion occurs for exponential rates, but not for polynomial. We also present some simulations to illustrate the explosion
types.

Keywords: 
growth process, adsorption, explosion
Arquivo: