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Percolation properties for Gibbs random graphs

Grant number: 10/13287-8
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Start date: January 15, 2011
End date: March 14, 2011
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics - Probability
Principal Investigator:Anatoli Iambartsev
Grantee:Anatoli Iambartsev
Visiting researcher: Vladimir Blinovsky
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

In this project we propose to make research of the percolation properties and growing of giant k-core in the infinite random graph. We consider the case of Gibbs measure on the graphs with pairwise interaction between the edges adjoint one vertex and when single vertices and edges also involve to the energy. (AU)

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