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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME)
(Institutional affiliation for the last research proposal)

Birthplace:
Brazil

Graduated in the Federal University of Rio Grande do Sul (1985), master's degree in Statistics from the University of São Paulo (1989), doctorate in Statistics from the University of São Paulo (1994). Visiting Scholar at the Mathematics department at Cornell University, USA (1995-1997) and Visiting Professor of Mathematics Department of the University of Colorado at Colorado Springs (2010-2011). Full Professor at the University of São Paulo since 2011 and coordinator of a Fapesp Thematic Grant (5-year grant) "Stochastic modeling of interacting systems". He has experience in Probability and Statistics, with emphasis on Stochastic Special Processes, acting on the following topics: interacting particle systems, fashion theorem, theorems limits, method of Lyapunov functions, branching processes, random walks systems, percolation , epidemic and rumors models. (Source: Lattes Curriculum)

Research grants

- Institutional development plan in the area of digital transformation: advanced manufacturing and smart and sustainable cities (PDIp), AP.PDIP
### Abstract

The digital transformation is still little consolidated in Brazilian society. Improvements in performance and differentiation resulting of such transformation have not yet been fully absorbed in companies and in the public administration. In general, solutions required for implementing the digital transformation in cities and in manufacturing processes combine advanced connectivity and ...

- Stochastic modeling of interacting systems, AP.TEM
### Abstract

The Probability and Stochastic Processes group, consolidated and working at the Statistics and Mathematics departments of USP, UFSCar, Unicamp and UFABC, has international visibility and recognition due to \textit {(i)} its frequent and relevant publications in high standard international journals, \textit {(ii)} sucessful organization of conferences that are on the agenda of the best r...

- 4th Workshop in Stochastic Modeling, AO.R
- Stochastic modeling of interacting systems, AP.TEM
### Abstract

The present project originates in the previous 'projetos temáticos': Stochastic modeling of interacting systems (October 2004 to October 2008), Dynamical phase transitions in evolutionary systems, Large deviations, diffusion and localization (June 1991 to August 1994) and Critical phenomena in evolutionary processes and equilibrium systems (in two editions, from August 1995 to August 19...

- Stochastic Modelling of Interacting Systems, AP.TEM
### Abstract

The present project is the continuation of the previous projetos temáticos: dynamical phase transitions in evolutionary systems, large deviations, diffusion and localization, (1991 to 1994) and critical phenomena in evolutionary processes and equilibrium systems(in two editions, 1995 to 1998, and from 2000 to 2004). They all were highly sucessful and triggered a remarkable increase in t...

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

Scholarships in Brazil

- Random walk systems on graphs, BP.IC
### Abstract

We intend to continue the research on the particle systems on graphs known as frog model, which was formulated to model the propagation of information or epidemics in a network. In the study of these systems on finite graphs, the main interest is the duration of the process and the proportion of the population informed or infected by the disease after all viruses die. We are interested ...

- Colonization and collapse models, BP.IC
### Abstract

We will investigate a basic immigration process where colonies grow, during a random time, following a counting process until a collapse. At the time of collapse, only random amounts of individuals survive. These survivors try to establish new colonies independently in neighboring locations. We will consider this general process subject to two distinct schemes, the first with colony gro...

- Aging in the GREM-like trap model, BP.PD
### Abstract

We will study the trap model in the tree in order to obtain scaling limits on time scales that exhibit aging. To this target, we will obtain weak convergence results of the dynamics properly rescaled.

Scholarships abroad

- Stochastic modeling for population biology, BE.PQ
### Abstract

The objective of this project is to continue the study of models on random graphs for modeling topics such as the transmission of information in networks, construction of phylogenetic trees, epidemiological dynamics or population biology. Simplicity and flexibility are absolutely necessary conditions for this sort of models. Enough simplicity to allow some level of sophistication in the...

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2
| Ongoing research grants |

9 /
4
| Completed research grants |

1 /
1
| Ongoing scholarships in Brazil |

4 /
2
| Completed scholarships in Brazil |

2 /
1
| Completed scholarships abroad |

18 /
10
| 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 | 53 |

Citations | 141 |

Cit./Article | 2.7 |

Data from Web of Science |

MACHADO, F.; MASHURIAN, H.; MATZINGER, H.. CLT for the Proportion of Infected Individuals for an Epidemic Model on a Complete Graph.** Markov Processes and Related Fields**, v. 17, n. 2, p. 209-224, 2011. Web of Science Citations: 5. (09/18253-7)

GUIOL, HERVE; MACHADO, FABIO P.; SCHINAZI, RINALDO. On a link between a species survival time in an evolution model and the Bessel distributions.** BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS**, v. 27, n. 2, p. 201-209, MAY 2013. Web of Science Citations: 4. (09/18253-7)

KURTZ, THOMAS G.; LEBENSZTAYN, ELCIO; LEICHSENRING, ALEXANDRE R.; MACHADO, FABIO P.. Limit theorems for an epidemic model on the complete graph.** ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS**, v. 4, p. 45-55, 2008. Web of Science Citations: 14. (05/04001-5)

MENSHIKOV, M. V.; SISKO, V. V.; VACHKOVSKAIA, M.. Introduction to Shape Stability for a Storage Model.** METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY**, v. 15, n. 1, p. 125-146, MAR 2013. Web of Science Citations: 0. (07/50459-9, 04/07276-2, 09/52379-8)

FONTES, LUIZ RENATO; ALEXANDER VALENCIA, LEON; VALLE, GLAUCO. Scaling limit of the radial Poissonian web.** ELECTRONIC JOURNAL OF PROBABILITY**, v. 20, MAR 28 2015. Web of Science Citations: 0. (09/52379-8)

PERES, YUVAL; POPOV, SERGUEI; SOUSI, PERLA. On recurrence and transience of self-interacting random walks.** BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY**, v. 44, n. 4, p. 841-867, DEC 2013. Web of Science Citations: 5. (09/52379-8)

JUNIOR, VALDIVINO V.; MACHADO, FABLO P.; ZULUAGA, MAURICIO. The cone percolation on T-d.** BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS**, v. 28, n. 3, p. 367-375, AUG 2014. Web of Science Citations: 2. (09/18253-7)

FONTES, L. R.; PEIXOTO, G. R. C.. Elementary Results on K Processes with Weights.** Markov Processes and Related Fields**, v. 19, n. 2, p. 343-370, 2013. Web of Science Citations: 0. (09/52379-8)

BEZERRA, S. C.; FONTES, L. R. G.; GAVA, R. J.; GAYRARD, V.; MATHIEU, P.. Scaling limits and aging for asymmetric trap models on the complete graph and K processes.** ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS**, v. 9, n. 2, p. 303-321, 2012. Web of Science Citations: 4. (09/52379-8, 07/03517-3, 08/00999-0)

COLETTI, CRISTIAN F.; MIRANDA, DANIEL; MUSSINI, FILIPE. Invariance Under Quasi-isometries of Subcritical and Supercritical Behavior in the Boolean Model of Percolation.** Journal of Statistical Physics**, v. 162, n. 3, p. 685-700, FEB 2016. Web of Science Citations: 0. (12/24086-9, 09/52379-8)

LEBENSZTAYN, ELCIO; MACHADO, FABIO PRATES; MARTINEZ, MAURICIO ZULUAGA. Random Walks Systems with Finite Lifetime on Z.** Journal of Statistical Physics**, v. 162, n. 3, p. 727-738, FEB 2016. Web of Science Citations: 1. (09/52379-8, 12/22673-4)

BELITSKY, V.; MENSHIKOV, M.; PETRITIS, D.; VACHKOVSKAIA, M.. Random Dynamical Systems with Systematic Drift Competing with Heavy-Tailed Randomness.** Markov Processes and Related Fields**, v. 22, n. 4, p. 629-652, 2016. Web of Science Citations: 0. (09/52379-8, 11/07000-0, 11/51509-5)

COMETS, F.; GALLESCO, C.; POPOV, S.; VACHKOVSKAIA, M.. Constrained Information Transmission on Erdos - Renyi Graphs.** Markov Processes and Related Fields**, v. 22, n. 1, p. 111-138, 2016. Web of Science Citations: 1. (13/10101-9, 09/52379-8)

MACHADO, F. P.; ROLDAN-CORREA, A.; SCHINAZI, R. B.. Colonization and Collapse.** ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS**, v. 14, n. 2, p. 719-731, 2017. Web of Science Citations: 1. (09/52379-8)

DE BERNARDINI, DIEGO F.; POPOV, SERGUEI. Russo's Formula for Random Interlacements.** Journal of Statistical Physics**, v. 160, n. 2, p. 321-335, JUL 2015. Web of Science Citations: 0. (09/52379-8, 14/14323-9)

FONTES, LUIZ RENATO; MARCHETTI, DOMINGOS H. U.; MEROLA, IMMACOLATA; PRESUTTI, ERRICO; VARES, MARIA EULALIA. Layered Systems at the Mean Field Critical Temperature.** Journal of Statistical Physics**, v. 161, n. 1, p. 91-122, OCT 2015. Web of Science Citations: 3. (09/52379-8)

GALLESCO, CHRISTOPHE; POPOV, SERGUEI. Random walks with unbounded jumps among random conductances II: Conditional quenched CLT.** ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS**, v. 10, n. 1, p. 253+, 2013. Web of Science Citations: 2. (09/52379-8)

POPOV, SERGUEI; RATH, BALAZS. On Decoupling Inequalities and Percolation of Excursion Sets of the Gaussian Free Field.** Journal of Statistical Physics**, v. 159, n. 2, p. 312-320, APR 2015. Web of Science Citations: 15. (09/52379-8)

GALLESCO, C.; GANTERT, N.; POPOV, S.; VACHKOVSKAIA, M.. A Conditional Quenched CLT for Random Walks Among Random Conductances on Z(d).** Markov Processes and Related Fields**, v. 20, n. 2, p. 287-328, 2014. Web of Science Citations: 0. (09/52379-8, 10/16085-7)

MOGULSKII, A.; PECHERSKY, E.; YAMBARTSEV, A.. Large deviations for excursions of non-homogeneous Markov processes.** Electronic Communications in Probability**, v. 19, p. 1-8, JUN 22 2014. Web of Science Citations: 0. (09/52379-8, 12/07845-3)

FONTES, LUIZ RENATO; MARCHETTI, DOMINGOS H. U.; MEROLA, IMMACOLATA; PRESUTTI, ERRICO; VARES, MARIA EULALIA. Phase Transitions in Layered Systems.** Journal of Statistical Physics**, v. 157, n. 3, p. 407-421, NOV 2014. Web of Science Citations: 4. (09/52379-8)

COMETS, FRANCIS; GALLESCO, CHRISTOPHE; POPOV, SERGUEI; VACHKOVSKAIA, MARINA. On large deviations for the cover time of two-dimensional torus.** ELECTRONIC JOURNAL OF PROBABILITY**, v. 18, p. 1-18, NOV 6 2013. Web of Science Citations: 7. (09/52379-8)

FONTES, L. R. G.; GAVA, R. J.; GAYRARD, V.. THE K-PROCESS ON A TREE AS A SCALING LIMIT OF THE GREM-LIKE TRAP MODEL.** ANNALS OF APPLIED PROBABILITY**, v. 24, n. 2, p. 857-897, APR 2014. Web of Science Citations: 2. (09/52379-8, 08/00999-0)

AMSALU, S.; HAUSER, R.; MATZINGER, H.. A Monte Carlo Approach to the Fluctuation Problem in Optimal Alignments of Random Strings.** Markov Processes and Related Fields**, v. 20, n. 1, p. 107-144, 2014. Web of Science Citations: 1. (09/52379-8)

MENSHIKOV, MIKHAIL; POPOV, SERGUEI. On Range and Local Time of Many-dimensional Submartingales.** JOURNAL OF THEORETICAL PROBABILITY**, v. 27, n. 2, p. 601-617, JUN 2014. Web of Science Citations: 4. (09/52379-8, 11/07000-0)

BERTACCHI, DANIELA; MACHADO, FABIO PRATES; ZUCCA, FABIO. LOCAL AND GLOBAL SURVIVAL FOR NONHOMOGENEOUS RANDOM WALK SYSTEMS ON Z.** ADVANCES IN APPLIED PROBABILITY**, v. 46, n. 1, p. 256-278, MAR 2014. Web of Science Citations: 3. (09/52379-8)

GAVA, RENATO JACOB; SALOTTI, DANILO. STOPPING PROBABILITIES FOR PATTERNS IN MARKOV CHAINS.** JOURNAL OF APPLIED PROBABILITY**, v. 51, n. 1, p. 287-292, MAR 2014. Web of Science Citations: 1. (12/01432-9)

POPOV, SERGUEI; TEIXEIRA, AUGUSTO. Soft local times and decoupling of random interlacements.** JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY**, v. 17, n. 10, p. 2545-2593, 2015. Web of Science Citations: 16. (09/52379-8)

GONZALEZ-NAVARRETE, MANUEL; PECHERSKY, EUGENE; YAMBARTSEV, ANATOLY. Phase Transition in Ferromagnetic Ising Model with a Cell-Board External Field.** Journal of Statistical Physics**, v. 162, n. 1, p. 139-161, JAN 2016. Web of Science Citations: 0. (09/52379-8)

BARRETO-SOUZA, W.; FONTES, L. R. G.. Long-range Trap Models on and Quasistable Processes.** JOURNAL OF THEORETICAL PROBABILITY**, v. 28, n. 4, p. 1500-1519, DEC 2015. Web of Science Citations: 1. (09/52379-8)

GALLESCO, CHRISTOPHE; POPOV, SERGUEI; SCHUETZ, GUNTER M.. Localization for a Random Walk in Slowly Decreasing Random Potential.** Journal of Statistical Physics**, v. 150, n. 2, p. 285-298, JAN 2013. Web of Science Citations: 1. (09/52379-8, 11/21089-4)

GREJO, CAROLINA; MACHADO, FABIO; ROLDAN-CORREA, ALEJANDRO. The fitness of the strongest individual in the subcritical GMS model.** Electronic Communications in Probability**, v. 21, 2016. Web of Science Citations: 0. (09/52379-8)

COLETTI, CRISTIAN; VALLE, GLAUCO. Convergence to the Brownian Web for a generalization of the drainage network model.** ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES**, v. 50, n. 3, p. 899-919, AUG 2014. Web of Science Citations: 1. (09/52379-8)

FONTES, L. R. G.; MATHIEU, P.. On the dynamics of trap models in Z(d).** PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY**, v. 108, n. 6, p. 1562-1592, JUN 2014. Web of Science Citations: 6. (09/52379-8)

VARGAS JUNIOR, VALDIVINO; MACHADO, FABIO PRATES; ROLDAN-CORREA, ALEJANDRO. Dispersion as a Survival Strategy.** Journal of Statistical Physics**, v. 164, n. 4, p. 937-951, AUG 2016. Web of Science Citations: 2. (09/52379-8)

COMETS, FRANCIS; POPOV, SERGUEI; VACHKOVSKAIA, MARINA. Two-Dimensional Random Interlacements and Late Points for Random Walks.** Communications in Mathematical Physics**, v. 343, n. 1, p. 129-164, APR 2016. Web of Science Citations: 3. (09/52379-8, 14/06815-9, 14/06998-6)

BELITSKY, V; SCHUETZ, G. M.. Duality, supersymmetry and non-conservative random walks.** JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT**, MAY 2019. Web of Science Citations: 0. (17/20696-0, 17/10555-0)

BELITSKY, V; SCHUETZ, G. M.. Stationary RNA polymerase fluctuations during transcription elongation.** Physical Review E**, v. 99, n. 1, JAN 7 2019. Web of Science Citations: 0. (17/20696-0, 17/10555-0)

LEBENSZTAYN, ELCIO; MACHADO, FABIO PRATES; MARTINEZ, MAURICIO ZULUAGA. Random walks systems with killing on Z.** STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES**, v. 80, n. 5, p. 451-457, 2008. Web of Science Citations: 3. (05/04001-5)

LEBENSZTAYN, ÉLCIO; MACHADO, FÁBIO P.; POPOV, SERGUEI. An improved upper bound for the critical probability of the frog model on homogeneous trees.** Journal of Statistical Physics**, v. 119, n. 1/2, p. 331-345, Apr. 2005.

JUNIOR, VALDIVINO V.; MACHADO, FABIO P.; ZULUAGA, MAURICIO. RUMOR PROCESSES ON N.** JOURNAL OF APPLIED PROBABILITY**, v. 48, n. 3, p. 624-636, SEP 2011. Web of Science Citations: 10. (09/18253-7)

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)

BELITSKY, V.; SCHUETZ, G. M.. RNA Polymerase interactions and elongation rate.** Journal of Theoretical Biology**, v. 462, p. 370-380, FEB 7 2019. Web of Science Citations: 2. (17/20696-0, 17/10555-0)

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. (16/11648-0, 15/09094-3, 17/10555-0)

MACHADO, FABIO P.; ROLDAN-CORREA, ALEJANDRO; JUNIOR, VALDIVINO V.. Colonization and Collapse on Homogeneous Trees.** Journal of Statistical Physics**, v. 173, n. 5, p. 1386-1407, DEC 2018. Web of Science Citations: 0. (17/10555-0)

VVEDENSKAYA, N. D.; LOGACHOV, A. V.; SUHOV, YU. M.; YAMBARTSEV, A. A.. A Local Large Deviation Principle for Inhomogeneous Birth-Death Processes.** PROBLEMS OF INFORMATION TRANSMISSION**, v. 54, n. 3, p. 263-280, JUL 2018. Web of Science Citations: 0. (17/10555-0)

PECHERSKY, E. A.; PIROGOV, S. A.; SCHUETZ, G. M.; VLADIMIROV, A. A.; YAMBARTSEV, A. A.. Large Fluctuations in Two-Level Systems With Stimulated Emission.** THEORETICAL AND MATHEMATICAL PHYSICS**, v. 198, n. 1, p. 118-128, JAN 2019. Web of Science Citations: 0. (17/10555-0)

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. (16/11648-0, 17/10555-0)

COLETTI, CRISTIAN F.; GAVA, RENATO J.; DE LIMA, LUCAS R.. Limit theorems for a minimal random walk model.** JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT**, AUG 2019. Web of Science Citations: 0. (17/10555-0, 18/04764-9)

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. (16/11648-0, 17/10555-0)

FONTES, LUIZ RENATO G.; MARCHETTI, DOMINGOS H. U.; MOUNTFORD, THOMAS S.; VARES, MARIA EULALIA. Contact process under renewals I.** Stochastic Processes and their Applications**, v. 129, n. 8, p. 2903-2911, AUG 2019. Web of Science Citations: 1. (17/10555-0)

LOGACHOV, A.; LOGACHOVA, O.; YAMBARTSEV, A.. Large deviations in a population dynamics with catastrophes.** Statistics & Probability Letters**, v. 149, p. 29-37, JUN 2019. Web of Science Citations: 0. (17/20482-0, 17/10555-0)

PECHERSKY, E.; PIROGOV, S.; SCHUETZ, G. M.; VLADIMIROV, A.; YAMBARTSEV, A.. LARGE EMISSION REGIME IN MEAN FIELD LUMINESCENCE.** MOSCOW MATHEMATICAL JOURNAL**, v. 19, n. 1, p. 107-120, JAN-MAR 2019. Web of Science Citations: 0. (17/20696-0, 17/10555-0)

LEBENSZTAYN, ELCIO; UTRIA, JAIME. A New Upper Bound for the Critical Probability of the Frog Model on Homogeneous Trees.** Journal of Statistical Physics**, v. 176, n. 1, p. 169-179, JUL 2019. Web of Science Citations: 0. (17/10555-0)

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

LEBENSZTAYN, Élcio. O modelo de percolação em grafos: um estudo de condições para a transição de fase. 2002. 78f. Dissertação (Mestrado) - Instituto de Matemática e Estatística. Universidade de São Paulo (USP). São Paulo. (00/02478-5)

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