CORDIS Project
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This project investigates stochastic processes on two mathematical frameworks: Liouville quantum gravity and random planar maps. It aims to develop new theories and methods to understand growth processes and random walks within these frameworks, enhancing our understanding of their connections and applications in mathe…
In the last several decades, two canonical theories of random surfaces have emerged.
The first, so-called Liouville quantum gravity (LQG), has its roots in conformal field theory and string theory from the 1980s and 1990s.
The second, so-called random planar maps (RPM), has its roots in combinatorics from the 1960s.
There has been immense progress in recent years in making rigorous sense of LQG, in the study of the large-scale behavior of RPM, and developing connections between them as well a…
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