ERC Consolidator Grant · 2020
Universality of random planar maps and trees
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 quantum gravity, a class of random surfaces predicted by physicists to be the universal limit to such discrete random surfaces. Various map embedding mechanisms will be studied such as harmonic embedding,…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.