Phase transition and critical phenomena in two-dimensional discrete quantum gravity

• Grant number: 15/16407-8
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: December 01, 2015
• End date: March 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Serguei Popov
• Grantee: José Javier Cerda Hernández
• Supervisor: Yevgeniy Kovchegov
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Oregon State University (OSU), United States
• Associated to the scholarship: 14/18810-1 - Percolation and phase transition of spin systems on Lorentzian random graphs, BP.PD

Abstract

The project is focused on the study of phenomenon of phase transition in the context of percolation and of spin systems on random triangulations. From a physical point of view it is interesting to study these models because one can interpret these models as systems of gravity-matter. Unlike the classical models, here the environment in which the percolation and spin systems occurs is itself random, this means that the techniques needed to establish the phenomena of phase transition are rather different and challengers. (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)

HERNANDEZ, JOSE C.; KOVCHEGOV, YEVGENIY; OTTO, PETER T.. The aggregate path coupling method for the Potts model on bipartite graph. Journal of Mathematical Physics, v. 58, n. 2, FEB 2017. (15/16407-8)