Stochastic models for the spreading of rumours and epidemics
Mikhail Menchikov | Faculty of Mechanics and Mathematics - Rússia
Grant number: | 15/20110-0 |
Support Opportunities: | Scholarships abroad - Research |
Effective date (Start): | June 01, 2016 |
Effective date (End): | May 31, 2017 |
Field of knowledge: | Physical Sciences and Mathematics - Probability and Statistics - Probability |
Principal Investigator: | Cristian Favio Coletti |
Grantee: | Cristian Favio Coletti |
Host Investigator: | Fabio Zucca |
Host Institution: | Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil |
Research place: | Politecnico di Milano, Italy |
Abstract The first objective of this research project is to study the extinction probability and the main properties of critical parameters associated with branching random walks. We study these properties by means of an infinite dimensional generating function. In this project we address the following issues: (1) characterization of the set of fixed points (extinction probabilities) of the generating function of an irreducible branching random walks on discrete time and, (2) characterization of the global survival critical parameter for branching random walks in continuous time. We intend also to study the diffusion of an information in random graphs given by the cluster of percolation of independent site percolation model by means of suitable couplings with a branching random walk in order to prove survival or extinction of the information. | |
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