Bertrand Duplantier (IPhT) and his collaborators have just obtained an exact expression for the generalized multifractal spectrum, which characterizes the highly singular behavior of the universal fractal curve, here arcuate in a semi-infinite logarithmic spiral, and associated with Schramm-Loewner Evolution (SLE), a   paradigmatic planar stochastic process. The method of passage through Liouville quantum gravity is successfully applied there.

The attached file contains a simplified presentation of this mathematical physics result.

Developped results