Stochastic methods in geology and biology

• Grant number: 13/04040-7
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: September 10, 2013
• End date: September 09, 2014
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Applied Probability and Statistics
• Principal Investigator: Anatoli Iambartsev
• Grantee: Anatoli Iambartsev
• Visiting researcher: Eugene Pechersky
• Visiting researcher institution: Russian Academy of Sciences (RAS), Russia
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The goal of the project is development of mathematical tools and creation of mathematical model of systems having many interacted elements. In the project, models and methods from the statistical physics will be used for geological and biological problems. In particular, dynamics of the tectonic plates is one of subjects of this project. The model is based on the stochastic dynamics of some point random fields describing a movement of one plate on another with a mechanism of interactions of the plates. Stick and slip behavior of the contacting plates is caused by irregularity of contacting surfaces of the plates. In the framework of this project a new numerical method for solutions of differential equations is proposed. The method is based on annealing algorithm well known in statistical mechanics and widely applied. The method will be used for solutions of differential equations describing propagations of spikes in neuronal networks. (AU)