PhD at Mathematics / Applied Mathematics from Moscow State University (1999). Currently Associated Professor Doutor MS-5 at University of São Paulo. Have experience in Probability and Statistics, focusing on Markov Processes and Statistical Mechanics, acting on the following subjects: Gibbs fields, processes in random environment, graphical models, random graphs, applied statics for biology. (Source: Lattes Curriculum)
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Limit theorems of large (and moderate) deviations are the main goal of the project. The project consists of (1) moderate deviations for random walks in a random environment, (2) large deviations for processes with catastrophes, and (3) limit theorems for weighted random graphs. (AU)
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 res…
The large deviation theory is one of the well developed and currently applied parts of the probability theory. The goal of this project is an application of the large deviation theory to continuous time Markov processes.The studied models subjected to the Markov dynamics that has, in general, the following structure. There exist a finite number of particles, every particle is supplied by…
We study the phase transition phenomenon in the context of percolation on causal random graph (the authors have several published results) and the application of percolations techniques to market microstructure models. The academic visits will be focused on the working with some new partial results about percolation on (causal) random graph and recent results about models of market micros…
During Prof. Yevgeniy Kovchegov's visit to the University of São Paulo, we will work on extending our method that utilizes the hydrodynamic limits of coalescent processes for finding the mean length of the minimal spanning trees in random graphs. Also, we will examine the gelation phenomenon in the Marcus-Lushnikov dynamics with multidimensional weight vectors. We will test the usability …
(Only some records are available in English at this moment)
In this post-doctoral research program, we propose to investigate several problems in the area of information quantification of the self-similar structures. More precisely, we plan to find the entropy rate for Tokunaga self-similar trees and for the geometric Tokunaga processes, explain the behavior of the entropy rates, and compare it with the behavior of the entropy rate of uniformly di…
The project is focused to the study of classical spins models coupled to causal dynamical triangulation or Lorentzian triangulation. First, we consider simple models, such as the Ising model, coupled to triangulations. After that, we will study natural generalizations of it, such as the Potts model and Heisenberg model, coupled to triangulation. The method used to study of these models is…
Many current researches aim to understand the causes of transition between conditions in a biological system. Differences in gene expression patterns between different conditions can point to a transition that depends on these conditions. A change in gene expression patterns can indicate that a relation between genes was lost, created, broken, or intensified. Two ways to measure this cha…
(Only some records are available in English at this moment)
As a result of rapid growth in the field of molecular biology, the recent technological advances enable us to measure the expression of thousands of genes simultaneously. However, simply measuring the expressions of multiple individual genes is insufficient to understand complex biological systems. To relate gene expressions to physiological states and environmental factors, we must utili…
The main goal of this project is the same as in the PhD project which is to understand how a biological system transitions from one state to another through studying the dynamics of reconstructed gene expression networks. From a starting point we are going to analyze two different biological models. The first one is about the effect of the immune system in the homeostatic functions of the…
The growth of molecular biology has advanced such that we can measure the expression of thousands of genes. However, just measuring expression of multiple individual genes is insufficient to describe a systems issue such as complex diseases. To relate gene expression to physiological states (disease) and variables in an organism's environment we must utilize gene expression networks. The…
| 2 / 2 | Ongoing research grants |
| 19 / 19 | Completed research grants |
| 4 / 4 | Completed scholarships in Brazil |
| 3 / 3 | Completed scholarships abroad |
| 28 / 28 | All research grants and scholarships |
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CV Lattes
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