The main work of our group is in probability theory, in the domain of random planar geometry. We study random curves, surfaces and other random geometric structures, that help to geometrically encode and describe the large-scale behaviour of complex systems like, for example, 2D statistical physics models.
In particular, we are interested in objects like the Gaussian free field, Schramm-Loewner Evolution, Gaussian multiplicative chaos, Nodal lines of random functions, O(n) spin models, Yang-Mills measures…but this list is not exhaustive and is growing!
We also take interest in other domains of pure mathematics, and are happy if we manage to contribute to research in applied domains like computer science or neurosciences.
For the publication lists Arxiv is much better at keeping it up to date:
– Juhan Aru: arxiv page / google scholar
– Baptiste Cerclé: arxiv page
– Antoine Jego: arxiv page