Orateur
Bertrand Duplantier
(IPhT)
Description
We describe some recent advances in the multifractality of the Schramm-Loewner evolution. This includes a generalized notion of integral means spectrum for unbounded whole-plane SLE, depending on two moments, with a phase transition between a new spectrum and the usual spectrum, originally obtained via quantum gravity. Conversely, we show that any such multifractal spectrum in the plane has a universal analogue in Liouville quantum gravity, with specific applications to SLE.
Based on joint works with H. Ho, B. Le & M. Zinsmeister ; and G. Borot & J. Miller.
Auteur principal
Bertrand Duplantier
(IPhT)
