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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC)
(Institutional affiliation for the last research proposal)

Birthplace:
Argentina

Assistant Professor at the Departamento de Matemática Aplicada e Estatística, at the Instituto de Ciências Matemáticas e de Computação, of Universidade de São Paulo in São Carlos, SP, Brazil. He has a Ph.D. in Probability and Statistics from Universidade de São Paulo (2010), a Master in Probability and Statistics from Universidade de São Paulo (2007), and a Bachelor in Mathematics from Universidad Nacional de la Patagonia "San Juan Bosco" (2004). He has experience in Probability and Statistics, focusing on Probability Theory, working in interacting particle systems, percolation, random graphs and stochastic modeling of complex systems. (Source: Lattes Curriculum)

Research grants

- 7th workshop on probabilistic and statistical methods, AO.R
- 2018 Latin American School of Mathematics, AO.R
- 6th workshop on probabilistic and statistical methods, AO.R

(Only some records are available in English at this moment)

Scholarships in Brazil

- Extinction and survival of branching processes in varying environment, BP.IC
### Abstract

The branching process, or Galton-Watson process, is a stochastic process with applications in fields like Biology, Physics, Computer Sciences, and others. In this project we will study the basic properties of this theory, and we will review the existing results about branching process in varying environment. This will be accomplished by comparing the existing results regarding the extin...

- Branching processes in the phase transition of the Erdos-Renyi random graph, BP.IC
### Abstract

Our aim in this project is to study how basic results about the survival probability of branching processes can be applied to obtain result about the emergenceof the giant component in the Erdös-Rényi random graph G(n,p), taking as a basis a recent work by Bollobás and Riordan (2012). The G(n,p) model is the random graph with n vertices, in which each edge is present independently with ...

- Stochastic models for information diffusion on graphs, BP.DR
### Abstract

The aim of the project is to study stochastic models of information difusion on graphs. We will consider models of interacting particle systems, recently introduced in the literature, on the d dimensional hypercubic lattice. We will study modifications of these models on homogeneous trees, on small world networks, and on other graphs. We expect to obtain phase transition results, limit ...

(Only some records are available in English at this moment)

Scholarships abroad

- Asymptotic behavior of stochastic processes on graphs and applications, BE.PQ
### Abstract

We will study special stochastic processes on graphs. The considered processes are inspired by biological questions or appear as a natural extension of well-known models from the scientific literature. The research activities will focus on studying the asymptotic behavior of such processes. (AU)

7 /
7
| Completed research grants |

6 /
5
| Completed scholarships in Brazil |

1 /
1
| Completed scholarships abroad |

14 /
13
| All research grants and scholarships |

Associated processes |

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

Publications | 17 |

Citations | 115 |

Cit./Article | 6.8 |

Data from Web of Science |

COLETTI, CRISTIAN F.; DE OLIVEIRA, KARINA B. E.; RODRIGUEZ, PABLO M.. A STOCHASTIC TWO-STAGE INNOVATION DIFFUSION MODEL ON A LATTICE.** JOURNAL OF APPLIED PROBABILITY**, v. 53, n. 4, p. 1019-1030, DEC 2016. Web of Science Citations: 0.

COLETTI, CRISTIAN F.; GAVA, RENATO; SCHUTZ, GUNTER M.. A strong invariance principle for the elephant random walk.** JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT**, DEC 2017. Web of Science Citations: 5.

CADAVID, PAULA; RODINO MONTOYA, MARY LUZ; RODRIGUEZ, PABLO M.. On the isomorphisms between evolution algebras of graphs and random walks.** LINEAR & MULTILINEAR ALGEBRA**, JULY 2019. Web of Science Citations: 0.

DE ARRUDA, GUILHERME FERRAZ; RODRIGUES, FRANCISCO APARECIDO; RODRIGUEZ, PABLO MARTIN; COZZO, EMANUELE; MORENO, YAMIR. A general Markov chain approach for disease and rumour spreading in complex networks.** JOURNAL OF COMPLEX NETWORKS**, v. 6, n. 2, p. 215-242, APR 2018. Web of Science Citations: 4.

COLETTI, CRISTIAN F.; GAVA, RENATO J.; RODRIGUEZ, PABLO M.. On the existence of accessibility in a tree-indexed percolation model.** PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS**, v. 492, p. 382-388, FEB 15 2018. Web of Science Citations: 1.

AGLIARI, ELENA; PACHON, ANGELICA; RODRIGUEZ, PABLO M.; TAVANI, FLAVIA. Phase Transition for the Maki-Thompson Rumour Model on a Small-World Network.** Journal of Statistical Physics**, v. 169, n. 4, p. 846-875, NOV 2017. Web of Science Citations: 2.

LEBENSZTAYN, E.; MACHADO, F. P.; RODRIGUEZ, P. M.. LIMIT THEOREMS FOR A GENERAL STOCHASTIC RUMOUR MODEL.** SIAM JOURNAL ON APPLIED MATHEMATICS**, v. 71, n. 4, p. 1476-1486, 2011. Web of Science Citations: 15. (09/18253-7, 10/06967-2)

LEBENSZTAYN, E.; RODRIGUEZ, P. M.. The disk-percolation model on graphs.** Statistics & Probability Letters**, v. 78, n. 14, p. 2130-2136, OCT 1 2008. Web of Science Citations: 3. (05/04001-5)

DE ARRUDA, GUILHERME FERRAZ; BARBIERI, ANDRE LUIZ; RODRIGUEZ, PABLO MARTIN; RODRIGUES, FRANCISCO A.; MORENO, YAMIR; COSTA, LUCIANO DA FONTOURA. Role of centrality for the identification of influential spreaders in complex networks.** Physical Review E**, v. 90, n. 3, SEP 22 2014. Web of Science Citations: 44. (13/26416-9, 13/03898-8, 11/50761-2)

DE ARRUDA, GUILHERME FERRAZ; LEBENSZTAYN, ELCIO; RODRIGUES, FRANCISCO A.; RODRIGUEZ, PABLO MARTIN. A process of rumour scotching on finite populations.** ROYAL SOCIETY OPEN SCIENCE**, v. 2, n. 9, SEP 2015. Web of Science Citations: 3. (13/26416-9, 13/03898-8, 11/50761-2, 12/25219-2, 12/22673-4)

GALLO, SANDRO; RODRIGUEZ, PABLO M.. FROG MODELS ON TREES THROUGH RENEWAL THEORY.** JOURNAL OF APPLIED PROBABILITY**, v. 55, n. 3, p. 887-899, SEP 2018. Web of Science Citations: 1.

KANG, MIHYUN; PACHON, ANGELICA; RODRIGUEZ, PABLO M.. Evolution of a Modified Binomial Random Graph by Agglomeration.** Journal of Statistical Physics**, v. 170, n. 3, p. 509-535, FEB 2018. Web of Science Citations: 0.

GREJO, CAROLINA; RODRIGUEZ, PABLO M.. Asymptotic behavior for a modified Maki-Thompson model with directed inter-group interactions.** Journal of Mathematical Analysis and Applications**, v. 480, n. 1, DEC 1 2019. Web of Science Citations: 0.

LEBENSZTAYN, E.; MACHADO, F. P.; RODRIGUEZ, P. M.. On the behaviour of a rumour process with random stifling.** ENVIRONMENTAL MODELLING & SOFTWARE**, v. 26, n. 4, p. 517-522, APR 2011. Web of Science Citations: 18. (10/06967-2)

LEBENSZTAYN, E.; RODRIGUEZ, P. M.. A connection between a system of random walks and rumor transmission.** PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS**, v. 392, n. 23, p. 5793-5800, DEC 1 2013. Web of Science Citations: 4. (12/22673-4, 10/06967-2)

GALLO, SANDRO; GARCIA, NANCY L.; VARGAS JUNIOR, VALDIVINO; RODRIGUEZ, PABLO M.. Rumor Processes on and Discrete Renewal Processes.** Journal of Statistical Physics**, v. 155, n. 3, p. 591-602, MAY 2014. Web of Science Citations: 5. (13/03898-8)

COLETTI, CRISTIAN F.; RODRIGUEZ, PABLO M.; SCHINAZI, RINALDO B.. A Spatial Stochastic Model for Rumor Transmission.** Journal of Statistical Physics**, v. 147, n. 2, p. 375-381, APR 2012. Web of Science Citations: 10. (10/06967-2)

(References retrieved automatically from State of São Paulo Research Institutions)

OLIVEIRA, Karina Bindandi Emboaba de. Modelos de difusão de inovação em grafos. 2019. Tese (Doutorado) – Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos.

OLIVEIRA, Karina Bindandi Emboaba de. Modelo de sistema de partículas para a difusão de uma informação em. 2015. Dissertação (Mestrado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos.

RODRIGUEZ, Pablo Martin. Generalizações e teoremas limites para modelos estocásticos de rumores. 2010. Tese (Doutorado) – Instituto de Matemática e Estatística. Universidade de São Paulo (USP). São Paulo.

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