Research Grants 10/05891-2 - Percolação, Intercâmbio de pesquisadores - BV FAPESP
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Probabilistic aspects of causal dynamical triangulations: percolation

Abstract

Lorentzian Triangulations was introduced in quantum gravity as a tentative to define a Lorentz path integral for gravitation as a sum over triangulations. We plan to study percolation properties of such type infinite triangulations. The main aim of the project is to prove phase transition for bond-percolation in infinite Lorentzian triangulations, and in particular, to prove that the critical percolation probability is 1/2. We plan to apply ideas of Bellóbas e Riordan in context of percolation in Delaunay triangulations. This work is interesting not only for physics, where there is a little number of analytical results for models with coupled matter, but also it is interesting for probability where percolation problems traditionally have great importance. (AU)

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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)
SISKO, V.; YAMBARTSEV, A.; ZOHREN, S.. Growth of Uniform Infinite Causal Triangulations. Journal of Statistical Physics, v. 150, n. 2, p. 353-374, . (10/05891-2)
SISKO, VALENTIN; YAMBARTSEV, ANATOLY; ZOHREN, STEFAN. A note on weak convergence results for infinite causal triangulations. BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, v. 32, n. 3, p. 597-615, . (10/05891-2)

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