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publications
The Ising magnetisationn field and the Gaussian free field
We construct a natural (and very surprising) coupling between the critical Ising magnetisation field and the Gaussian free field. We do so by proving convergence in the scaling limit of a novel, analogous coupling for discrete models.
Excursion decomposition of the XOR-Ising model
We construct an excursion decomposition of the continuum XOR-Ising model, that more generally applies to the real and imaginary parts of the complex multiplicative chaos of a Gaussian free field. We also prove convergence in the scaling limit of the discrete excursion decomposition.
talks
The Ising magnetisation field and the Gaussian free field
Published:
One of the four talks part of a minicourse split with Marcin and Lorca, based on our paper with the same title.