CORDIS Project
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This project investigates the geometric structure of random spaces in critical statistical physics models, focusing on random planar maps and quantum gravity. It aims to develop a rigorous theory of these maps and explore universality in critical percolation across various high-dimensional graphs.
The objective of this proposal is an investigation of the geometric structure of random spaces that arise in critical models of statistical physics.
The proposal is motivated by inspiring yet non-rigorous predictions from the physics community and the models studied are some of the most popular models in contemporary probability theory such as percolation, random planar maps and random walks.One set of problems are on the topic of random planar maps and quantum gravity, a thriving field on the i…
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