Critical Gaussian multiplicative chaos: Convergence of the derivative martingale

In this paper, we study Gaussian multiplicative chaos in the critical case. We show that the so-called derivative martingale, introduced in the context of branching Brownian motions and branching random walks, converges almost surely (in all dimensions) to a random measure with full support. We also...

Full description

Bibliographic Details
Main Authors: Duplantier, Bertrand (Author), Rhodes, Rémi (Author), Vargas, Vincent (Author), Sheffield, Scott Roger (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Institute of Mathematical Statistics, 2018-05-11T18:34:54Z.
Subjects:
Online Access:Get fulltext