Random strings, Gibbs families, quantum Gravity

• Grant number: 02/01501-9
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: July 01, 2002
• End date: February 28, 2005
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Serguei Popov
• Grantee: Anatoli Iambartsev
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 99/11962-9 - Critical Phenomena in envolving processes and equilibrium systems, AP.TEM

Abstract

We are planning to investigate some problems connected to large random networks with random structure. These problems have connection with quantum gravity and percolation (shape theorems) and random strings. We expect to prove some results about induced chain, convergence of graphs of Lorentzian models to continuum space and first passage time in arbitrary direction. (AU)