CORDIS Project
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This project explores Brownian geometry, focusing on the Brownian map and its applications in understanding random graphs and statistical physics models. It aims to connect various mathematical approaches to advance the study of random geometry.
The main purpose of this proposal is to explore the canonical models of planar random geometry that have been introduced in the recent years.
We call this theory Brownian geometry because one of the central objects, the Brownian map, arises as the universal scaling limit of many discrete models of large random graphs embedded in the plane, in a way very similar to Brownian motion, which is the continuous limit of many different classes of random paths.
The preceding scaling limit holds for the…
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