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8 papers · 2 filters
Higher-spin symmetry in the boundary Toda conformal field theory I: Ward identities
Baptiste Cerclé, Nathan Huguenin
This article is the first of a two-part series dedicated to studying the symmetries enjoyed by the probabilistic construction of the boundary Toda Conformal Field…
On the intersection of critical percolation clusters and other tree-like random graphs
Amine Asselah, Bruno Schapira
We study intersection properties of two or more independent tree-like random graphs. Our setting encompasses critical, possibly long range, Bernoulli percolation clusters, incipien…
Outliers of perturbations of banded Toeplitz matrices
Charles Bordenave, François Chapon, Mireille Capitaine
Toeplitz matrices form a rich class of possibly non-normal matrices whose asymptotic spectral analysis in high dimension is well-understood. The spectra of these matrices are notor…
Freeness for tensors
Remi Bonnin, Charles Bordenave
We pursue the current developments in random tensor theory by laying the foundations of a free probability theory for tensors and establish its relevance in the study of random ten…
The CFT of SLE loop measures and the Kontsevich--Suhov conjecture
Guillaume Baverez, Antoine Jego
This paper initiates the study of the conformal field theory of the SLE loop measure for , the range where the loop is almost surely simple. First, we construct…
Catalan percolation
Eleanor Archer, Ivailo Hartarsky, Brett Kolesnik +3
In Catalan percolation, all nearest-neighbor edges along are initially occupied, and all other edges are open independently with probability . Open edges…