CORDIS Project
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This research explores mathematical models related to random planar maps, statistical physics, and turbulence. It aims to enhance understanding of complex systems through the development of stochastic models and analysis of critical phenomena.
This research project is organized along three seemingly unrelated directions:(1) Mathematical Liouville gravity deals with the geometry of large random planar maps.
Historically, conformal invariance was a key ingredient in the construction of Liouville gravity in the physics literature.
Conformal invariance has been restored recently with an attempt of understanding large random combinatorial planar maps once conformally embedded in the plane.
The geometry induced by these embeddings is conjec…
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