Anatoli Iambartsev
CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation for 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)
- Applications of large deviation theory of Markov Processes: imitation of big fluctuations in physical models, AV.EXT
Abstract
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 ...
- Percolation models on the causal random graph and market microstructure models, AP.R SPRINT
Abstract
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 micr...
- 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...
- Hydrodynamic limits of coalescent processes and minimal spanning trees with applications in mathematical biology, AV.EXT
Abstract
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 usabilit...
- Large deviations principle for stochastic processes, AV.EXT
Abstract
The project originated from our joint work on the large deviations for the famous birth-death processes. Some generalizations of the obtained results is one of the goals of this project. We also want to understand how the form of the rate function changes depending on an asymptotic behavior of intensities of the process. Recent works and discussions about large deviations for Markov pro...
- Large energy fluctuations in Poisson fields under stochastic dynamics: application of permanental random point processes to analysis of Planck radiation, AV.EXT
Abstract
The project is aimed to study abrupt high fluctuations of radiation emitting by different type of sources. A unified nature is that these sources, although close to the well known black body radiation, are driven by different kind of stochastic dynamic. The project consists of two parts. The first part concerns the large deviations of the radiation fluctuations in general setting, where...
(Only some records are available in English at this moment)
- Information content of self-similar structures, BP.PD
Abstract
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 ...
- New statistical inferences exploring causal changes in biological networks, BP.DR
Abstract
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 c...
- Application of transfer matrix method to causal triangulations models, BP.DD
Abstract
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 ...
(Only some records are available in English at this moment)
- Mathematical models for unexpected correlations and its applications for biological networks, BE.PQ
Abstract
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 uti...
- Study of changes in gene co-expression networks, BE.EP.DR
Abstract
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 t...
- A new topological property as a measure of robustness of regulatory networks, BE.PQ
Abstract
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. T...
| 3 / 3 | Ongoing research grants |
| 17 / 17 | Completed research grants |
| 4 / 4 | Completed scholarships in Brazil |
| 3 / 3 | Completed scholarships abroad |
| 27 / 27 | 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 | 18 |
| Citations | 41 |
| Cit./Article | 2.3 |
| Data from Web of Science | |
KELBERT, M.; SUHOV, YU; YAMBARTSEV, A.. A Mermin-Wagner Theorem for Gibbs States on Lorentzian Triangulations. Journal of Statistical Physics, v. 150, n. 4, p. 671-677, FEB 2013. Web of Science Citations: 2. (12/04372-7, 11/20133-0)
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)
SHCHERBAKOV, VADIM; YAMBARTSEV, ANATOLY. On Equilibrium Distribution of a Reversible Growth Model. Journal of Statistical Physics, v. 148, n. 1, p. 53-66, JUL 2012. Web of Science Citations: 1. (10/07565-5)
KELBERT, MARK; LEONENKO, NIKOLAI; BELITSKY, VLADIMIR. On the Bartlett spectrum of randomized Hawkes processes. Mathematical Communications, v. 18, n. 2, p. 393-407, NOV 2013. Web of Science Citations: 1. (11/20133-0)
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)
SISKO, V.; YAMBARTSEV, A.; ZOHREN, S.. Growth of Uniform Infinite Causal Triangulations. Journal of Statistical Physics, v. 150, n. 2, p. 353-374, JAN 2013. Web of Science Citations: 4. (10/05891-2)
HERNANDEZ, J. C.; SUHOV, Y.; YAMBARTSEV, A.; ZOHREN, S.. Bounds on the critical line via transfer matrix methods for an Ising model coupled to causal dynamical triangulations. Journal of Mathematical Physics, v. 54, n. 6, JUN 2013. Web of Science Citations: 4. (12/04372-7)
YAMBARTSEV, ANATOLY; PERLIN, MICHAEL A.; KOVCHEGOV, YEVGENIY; SHULZHENKO, NATALIA; MINE, KARINA L.; DONG, XIAOXI; MORGUN, ANDREY. Unexpected links reflect the noise in networks. BIOLOGY DIRECT, v. 11, OCT 13 2016. Web of Science Citations: 7. (12/06564-0)
PECHERSKY, EUGENE; VIA, GUILLEM; YAMBARTSEV, ANATOLY. Stochastic Ising model with plastic interactions. Statistics & Probability Letters, v. 123, p. 100-106, APR 2017. Web of Science Citations: 0. (15/10785-0, 13/07699-0, 15/03452-5)
KELBERT, M.; SUHOV, YU.; YAMBARTSEV, A.. A Mermin-Wagner theorem on Lorentzian triangulations with quantum spins. BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, v. 28, n. 4, p. 515-537, NOV 2014. Web of Science Citations: 0. (12/04372-7, 11/20133-0)
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)
SHCHERBAKOV, VADIM; YAMBARTSEV, ANATOLY. On Equilibrium Distribution of a Reversible Growth Model. Journal of Statistical Physics, v. 148, n. 1, p. 53-66, JUL 2012. Web of Science Citations: 1. (10/07565-5)
KELBERT, MARK; LEONENKO, NIKOLAI; BELITSKY, VLADIMIR. On the Bartlett spectrum of randomized Hawkes processes. Mathematical Communications, v. 18, n. 2, p. 393-407, NOV 2013. Web of Science Citations: 1. (11/20133-0)
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)
SISKO, V.; YAMBARTSEV, A.; ZOHREN, S.. Growth of Uniform Infinite Causal Triangulations. Journal of Statistical Physics, v. 150, n. 2, p. 353-374, JAN 2013. Web of Science Citations: 4. (10/05891-2)
HERNANDEZ, J. C.; SUHOV, Y.; YAMBARTSEV, A.; ZOHREN, S.. Bounds on the critical line via transfer matrix methods for an Ising model coupled to causal dynamical triangulations. Journal of Mathematical Physics, v. 54, n. 6, JUN 2013. Web of Science Citations: 4. (12/04372-7)
YAMBARTSEV, ANATOLY; PERLIN, MICHAEL A.; KOVCHEGOV, YEVGENIY; SHULZHENKO, NATALIA; MINE, KARINA L.; DONG, XIAOXI; MORGUN, ANDREY. Unexpected links reflect the noise in networks. BIOLOGY DIRECT, v. 11, OCT 13 2016. Web of Science Citations: 7. (12/06564-0)
PECHERSKY, EUGENE; VIA, GUILLEM; YAMBARTSEV, ANATOLY. Stochastic Ising model with plastic interactions. Statistics & Probability Letters, v. 123, p. 100-106, APR 2017. Web of Science Citations: 0. (15/10785-0, 13/07699-0, 15/03452-5)
(References retrieved automatically from State of São Paulo Research Institutions)
HERNÁNDEZ, José Javier Cerda. Modelos de Ising e Potts acoplados as triangulações de Lorentz. Tese (Doutorado) - Instituto de Matemática e Estatística. Universidade de São Paulo (USP). São Paulo. (13/06179-2)