Groups and noncommutative algebra: interactions and applications
Stochastic models for the spreading of rumours and epidemics
On the unit group of Z-orders in finite dimensional algebras
| Full text | |
| Author(s): |
Junior, Valdivino V.
;
Rodriguez, Pablo M.
;
Speroto, Adalto
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Statistical Physics; v. 181, n. 4, p. 14-pg., 2020-08-13. |
| Abstract | |
In this paper we study the Maki-Thompson rumor model on infinite Cayley trees. The basic version of the model is defined by assuming that a population represented by a graph is subdivided into three classes of individuals: ignorants, spreaders and stiflers. A spreader tells the rumor to any of its (nearest) ignorant neighbors at rate one. At the same rate, a spreader becomes a stifler after a contact with other (nearest neighbor) spreaders, or stiflers. In this work we study this model on infinite Cayley trees, which is formulated as a continuous-times Markov chain, and we extend our analysis to the generalization in which each spreader ceases to propagate the rumor right after being involved in a given number of stifling experiences. We study sufficient conditions under which the rumor either becomes extinct or survives with positive probability. (AU) | |
| FAPESP's process: | 17/10555-0 - Stochastic modeling of interacting systems |
| Grantee: | Fabio Prates Machado |
| Support Opportunities: | Research Projects - Thematic Grants |