CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Rússia
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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The Thematic Project proposed here brings together a significant portion of theProbability and Stochastic Processes research group in the state of São Paulo. This group iswell-established in the Departments of Statistics and Mathematics at USP, Unicamp, UFSCar,and UFABC and has gained international visibility and recognition due to several factors: (i) itsconsistent and noteworthy publica…
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 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…
(Only some records are available in English at this moment)
We will study the decay of correlations for Ising spin systems with polynomially decaying long-range interactions for dimensions greater than 2.
Graphs with coupled numerical structures (spin-graphs) are objects little studied (due to their complexity) in mathematical rigor and rich in examples of modeling phenomena in various research areas. The main objectives of this project are (1) the study of random processes in some spin-graph spaces, (2) the representation of neural networks as spin-graphs, and (3) the adaptation of an opt…
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…
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…
| 1 / 1 | Ongoing grants |
| 21 / 21 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 5 / 5 | Completed scholarships in Brazil |
| 3 / 3 | Completed scholarships abroad |
| 31 / 31 | All research grants and scholarships |
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