Probabilistic aspects of causal dynamical triangulations

• Grant number: 12/04372-7
• Support Opportunities: Regular Research Grants
• Start date: July 01, 2012
• End date: June 30, 2014
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Anatoli Iambartsev
• Grantee: Anatoli Iambartsev
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated researchers: Eugene Pechersky ; Iouri Mikhailovich Soukhov ; Stefan Zohren

Abstract

Models of planar random geometry provide a rich field with interplay between mathematical physics and probability. The project aims at the development of probabilistic methods and results on models of random triangulations (with and without spins) introduced in physics in the context of quantum gravity. (AU)

Scientific publications

(7)

(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, J. C.; SUHOV, Y.; YAMBARTSEV, A.; ZOHREN, S.. Bounds on the critical line via transfer matrix methods for an Ising model coupled to causal dynamical triangulations. Journal of Mathematical Physics, v. 54, n. 6, JUN 2013. (12/04372-7)

KELBERT, M.; SUHOV, YU; YAMBARTSEV, A.. A Mermin-Wagner Theorem for Gibbs States on Lorentzian Triangulations. Journal of Statistical Physics, v. 150, n. 4, p. 671-677, FEB 2013. (12/04372-7, 11/20133-0)

KELBERT, MARK; SUHOV, YURII. A Quantum Mermin-Wagner Theorem for a Generalized Hubbard Model. ADVANCES IN MATHEMATICAL PHYSICS, v. 2013, p. 20-pg., 2013-01-01. (11/20133-0, 12/04372-7)

KELBERT, MARK; SUHOV, YURII. A Quantum Mermin-Wagner Theorem for a Generalized Hubbard Model. ADVANCES IN MATHEMATICAL PHYSICS, 2013. (12/04372-7, 11/20133-0)

CERDA HERNANDEZ, J.. Potts model coupled to random causal triangulations. Journal of Mathematical Physics, v. 58, n. 12, DEC 2017. (14/18810-1, 13/06179-2, 12/04372-7)

KELBERT, M.; SUHOV, YU.; YAMBARTSEV, A.. A Mermin-Wagner theorem on Lorentzian triangulations with quantum spins. BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, v. 28, n. 4, p. 515-537, NOV 2014. (12/04372-7, 11/20133-0)

KELBERT, MARK; SUHOV, YURII. A quantum Mermin-Wagner theorem for quantum rotators on two-dimensional graphs. Journal of Mathematical Physics, v. 54, n. 3, MAR 2013. (12/04372-7, 11/20133-0)