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Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC)
(Institutional affiliation for the last research proposal)

Birthplace:
Rússia

graduated (Mathematics/Applied Mathematics) from Moscow State University (1994) and Ph.D. (Probability Theory) from Moscow State University (1997). Now is Full Professor (MS-6) at University of Campinas (UNICAMP). Works in the general area of Probability and Statistics, focusing on Markov Processes, with the following specific subjects: Markov chains, random environment, random interlacements, branching processes, percolation, queueing networks, random billiards. (Source: Lattes Curriculum)

Research grants

- Random walks and growth models with self-interactions, AV.EXT
### Abstract

During the visit of Mikhail Menshikov to Brazil in 2019, he is intending to collaborate with Serguei Popov, Marina Vachkovskaia, Christophe Gallesco (UNICAMP), Vladimir Belitsky (USP), and possibly other researchers from the probability groups of IME/USP and IMECC/UNICAMP. (AU)

- Random interlacement models, AP.R
### Abstract

We plan to study the model of random interlacements, in different dimensions. Besides considering the classical case of dimensions at least 3, we will also work with random interlacements in dimensions 1 and 2. (AU)

- Random walks and growth models, AV.EXT
### Abstract

During the visit of Mikhail Menshikov to Brazil in 2015, he is intending to collaborate with Serguei Popov, Marina Vachkovskaia, Christophe Gallesco (UNICAMP), Vladimir Belitsky (USP), and possibly other researchers from the probability groups of IME/USP and IMECC/UNICAMP. (AU)

- Self-repelling random walks, stochastic dynamical systems, growth models, AV.EXT
### Abstract

During the visit of Mikhail Menshikov to Brazil in 2013, he is intending to collaborate with Serguei Popov, Marina Vachkovskaia, Christophe Gallesco (UNICAMP), Vladimir Belitsky (USP), and possibly other researchers from the probability groups of IME/USP and IMECC/UNICAMP. We are going to work on several topics related to random walks, stochastic dynamical systems, and growth models. (AU)

- Random walks in random environments, AV.EXT
### Abstract

Random walks in random environments have been an area of probability theory which has seen a lot progress made recently. There are several questions that have remained opened and which could lead to fruitful collaborations. We have various questions that we would like to study, such as monotonicity properties of the limiting speed of a random walk in random environment, scaling limits o...

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

Scholarships in Brazil

- Percolation and random interlacements, BP.PD
### Abstract

Our research intends to investigate some contemporary models in Probability Theory and Stochastic Processes, in particular spacial models with correlations that decay slowly with distance including continuum percolation models and random interlacements. In continuum percolation, we consider problems about planar Boolean models with defects that are not euclidean balls, like elipses mode...

- Cover times of random walks on graphs, BP.IC
### Abstract

A simple random walk on a graph is a sequence of movements from a vertex to an adjacent vertex in such that each step is chosen uniformly randomly distributed across the neighborhood of the current vertex. The cover time of a random walk is the first moment where each vertex of the graph was visited. We are interested on the expected time for the cover time of specific families of graph...

- Percolation and phase transition of spin systems on Lorentzian random graphs, BP.PD
### Abstract

The project is focused on the study of bond percolation on causal triangulations (CTs) or Lorentzian random graph and phase transition of spin system coupled to CTs. From a physical point of view it is interesting to study various models of gravity-matter, such as the Ising and Potts models coupled to CTs. Based in the relation between percolation and phase transition of spin systems, ...

- On the dependence structure in random interlacements and the meeting time of random walks in random environments, BP.PD
### Abstract

In this research project we discuss some issues which are considered relevant in the context of two well-known stochastic models: the random interlacements model and the random walk in random environments model. In the context of random interlacements, at first we propose to tackle two problems. The first problem is related to the characterization of the covariance between two convex ev...

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

Scholarships abroad

- Peaks of random labelings on graphs, BE.EP.DD
### Abstract

The main goal of this research project is to work with the problem of random labelings on graphs, conditioned to have one or two peaks (i.e. local maximums). More specifically working on the following conjecture: let K_1 and K_2 be respectively the highest and second highest peak of a random labeling on the two dimensional torus with N sites conditioned to have exactly two peaks. Then...

- Phase transition and critical phenomena in two-dimensional discrete quantum gravity, BE.EP.PD
### Abstract

The project is focused on the study of phenomenon of phase transition in the context of percolation and of spin systems on random triangulations. From a physical point of view it is interesting to study these models because one can interpret these models as systems of gravity-matter. Unlike the classical models, here the environment in which the percolation and spin systems occurs is it...

- Random walks and other stochastic systems on graphs, BE.PQ
### Abstract

We plan to study random walk and other random systems on graphs. The first model we consider is a random walk on discrete torus, where we intend to study the cover time, i.e., the moment when all the sites as visited at least once. We are interested also in random walks that interact with the mass center of the trajectory, as well as in the asymptotic behavior of the mass center itself....

*Updated April 20, 2019

(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 | 28 |

Citations | 111 |

Cit./Article | 4.0 |

Data from Web of Science |

DE BERNARDINI, DIEGO F.; GALLESCO, CHRISTOPHE; POPOV, SERGUEI. On uniform closeness of local times of Markov chains and i.i.d. sequences.** Stochastic Processes and their Applications**, v. 128, n. 10, p. 3221-3252, OCT 2018. Web of Science Citations: 0. (17/02022-2, 16/13646-4)

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.

MENSHIKOV‚ MV; POPOV‚ S.Y.; VACHKOVSKAIA‚ M.. Multiscale percolation on* k*-symmetric mosaic.** Statistics & Probability Letters**, v. 52, n. 1, p. 79-84, 2001. (97/12826-6, 99/12304-5)

GALLESCO, C.; GALLO, S.; TAKAHASHI, D. Y.. Explicit estimates in the Bramson-Kalikow model.** Nonlinearity**, v. 27, n. 9, p. 2281-2296, SEP 2014. Web of Science Citations: 2. (13/10101-9, 09/09809-1, 08/08171-0)

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)

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: 3. (09/52379-8, 11/07000-0)

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)

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)

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)

GALLESCO, CHRISTOPHE; POPOV, SERGUEI. Random walks with unbounded jumps among random conductances I: Uniform quenched CLT.** ELECTRONIC JOURNAL OF PROBABILITY**, v. 17, p. 1-22, OCT 4 2012. Web of Science Citations: 2.

DA SILVA, M. A. A.; CRESSONI, J. C.; SCHUETZ, GUNTER M.; VISWANATHAN, G. M.; TRIMPER, STEFFEN. Non-Gaussian propagator for elephant random walks.** Physical Review E**, v. 88, n. 2, AUG 9 2013. Web of Science Citations: 16. (11/13685-6, 11/21089-4, 11/06757-0)

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)

GALLESCO, CHRISTOPHE; MUELLER, SEBASTIAN; POPOV, SERGUEI; VACHKOVSKAIA, MARINA. Spiders in random environment.** ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS**, v. 8, p. 129-147, 2011. Web of Science Citations: 4. (09/08665-6)

GALLESCO, CHRISTOPHE; MUELLER, SEBASTIAN; POPOV, SERGUEI. A NOTE ON SPIDER WALKS.** ESAIM-PROBABILITY AND STATISTICS**, v. 15, p. 390-401, JAN 2011. Web of Science Citations: 7. (09/08665-6)

MENSHIKOV, M. V.; VACHKOVSKAIA, M.; WADE, A. R.. Asymptotic behaviour of randomly reflecting billiards in unbounded tubular domains.** Journal of Statistical Physics**, v. 132, n. 6, p. 1097-1133, SEP 2008. Web of Science Citations: 16. (07/50459-9)

MACPHEE, IAIN; MENSHIKOV, MIKHAIL; PETRITIS, DIMITRI; POPOV, SERGUEI. POLLING SYSTEMS WITH PARAMETER REGENERATION, THE GENERAL CASE.** ANNALS OF APPLIED PROBABILITY**, v. 18, n. 6, p. 2131-2155, DEC 2008. Web of Science Citations: 3. (04/07276-2, 04/13610-2)

GANTERT, NINA; MUELLER, SEBASTIAN; POPOV, SERGUEI; VACHKOVSKAIA, MARINA. Random walks on Galton-Watson trees with random conductances.** Stochastic Processes and their Applications**, v. 122, n. 4, p. 1652-1671, APR 2012. Web of Science Citations: 2. (09/08665-6, 10/16085-7)

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: 9. (10/06967-2)

COMETS, FRANCIS; POPOV, SERGUEI. Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards.** ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES**, v. 48, n. 3, p. 721-744, AUG 2012. Web of Science Citations: 5. (09/08665-6)

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: 14. (09/18253-7, 10/06967-2)

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: 17. (10/06967-2)

HERNANDEZ, JOSE C.; KOVCHEGOV, YEVGENIY; OTTO, PETER T.. The aggregate path coupling method for the Potts model on bipartite graph.** Journal of Mathematical Physics**, v. 58, n. 2, FEB 2017. Web of Science Citations: 0. (15/16407-8)

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)

CERDA-HERNANDEZ, J.. Critical region for an Ising model coupled to causal triangulations.** JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT**, FEB 2017. Web of Science Citations: 1. (14/18810-1, 13/06179-2)

CERDA HERNANDEZ, J.. Potts model coupled to random causal triangulations.** Journal of Mathematical Physics**, v. 58, n. 12, DEC 2017. Web of Science Citations: 0. (14/18810-1, 13/06179-2, 12/04372-7)

CERDA-HERNANDEZ, JOSE; YAMBARTSEV, ANATOLY; ZOHREN, STEFAN. On the critical probability of percolation on random causal triangulations.** BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS**, v. 31, n. 2, p. 215-228, MAY 2017. Web of Science Citations: 1. (14/18810-1)

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)

CAMARGO, DARCY; POPOV, SERGUEI. Total Flooding Time and Rumor Propagation on Graphs.** Journal of Statistical Physics**, v. 166, n. 6, p. 1558-1571, MAR 2017. Web of Science Citations: 0. (13/23081-6)

FRIBERGH, ALEXANDER; POPOV, SERGUEI. Biased random walks on the interlacement set.** ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES**, v. 54, n. 3, p. 1341-1358, AUG 2018. Web of Science Citations: 1. (12/07166-9)

CAMARGO, DARCY; POPOV, SERGUEI. A one-dimensional version of the random interlacements.** Stochastic Processes and their Applications**, v. 128, n. 8, p. 2750-2778, AUG 2018. Web of Science Citations: 0. (13/23081-6)

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