Statistical analysis and applications of sequential adsorption-desorption models

• Grant number: 10/07565-5
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: September 01, 2010
• End date: October 31, 2010
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Applied Probability and Statistics
• Principal Investigator: Anatoli Iambartsev
• Grantee: Anatoli Iambartsev
• Visiting researcher: Vadim Shcherbakov
• Visiting researcher institution: Lomonosov Moscow State University (MSU), Russia
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The adsorption-desorption (AD) models have been used in physics for a long time. It has been anticipated that AD can be used in other applications as well. Such applications often require statistical inference of the model parameters. The statistical analysis of AD has been largely undeveloped and to cover this gap is the first goal of the project. Under certain conditions AD dynamics is reversible and admits the invariant measure. Studying the percolating properties of this measure (when it exists) is the second goal of the project. We use this analysis for modeling the propagation of macro-cracks in solids. (AU)

Scientific publications

(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)

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. (10/07565-5)