Stochastic models for the spreading of rumours and epidemics
Carol Bezuidenhout | University of Rochester - Estados Unidos
Self-similarity and the transition from finite to infinite measures in dynamical s...
| Full text | |
| Author(s): |
Coletti, Cristian F.
;
Gava, Renato J.
;
de Lima, Lucas R.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; v. N/A, p. 13-pg., 2019-08-01. |
| Abstract | |
We study the minimal random walk introduced by Kumar et al (2014 Phys. Rev. E 90 022136). It is a random process on {0,1, ...} with unbounded memory which exhibits subdiffusive, diffusive and superdiffusive regimes. We prove the law of large numbers for the whole parameter set. Then we prove the central limit theorem and the law of the iterated logarithm for the minimal random walk under diffusive and marginally superdiffusive behaviors. More interestingly, we establish a result for the minimal random walk when it possesses the three regimes; we show the convergence of its resealed version to a non-normal random variable. (AU) | |
| FAPESP's process: | 17/10555-0 - Stochastic modeling of interacting systems |
| Grantee: | Fabio Prates Machado |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 18/04764-9 - Random walks with unbounded memory |
| Grantee: | Renato Jacob Gava |
| Support Opportunities: | Scholarships abroad - Research |