CORDIS Project
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This project investigates random planar maps and trees, focusing on their convergence to Liouville quantum gravity and the behavior of stochastic processes on these maps. It aims to develop new mathematical tools to address significant problems in two-dimensional statistical physics.
The PI proposes to study a variety of open problems involving random planar maps and trees.
This is a booming field at the intersection of probability, geometry, statistical physics, combinatorics and complex analysis.
It has grown tremendously in the last two decades, in depth and breadth, and has seen breakthroughs on long-standing classical problems.
The PI's first goal is to study the universality of embedded random planar maps and prove their convergence to what is known as Liouville quant…
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