Alejandro Rivera

activity

20162021

most citedThe phase transition for planar Gaussian percolation models without FKG

4 citations · 8 across the 9 of their papers we have counts for

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Showing 2017 · math.PRShow all

2 papers · 2 filters

math.PR2017

The critical threshold for Bargmann-Fock percolation

Alejandro Rivera, Hugo Vanneuville

In this article, we study the excursions sets $D_p = f^{- 1} ([- p, + \infty [)$ where $f$ is a natural real-analytic planar Gaussian field called the Bargmann-Fock field. More…

math.PR2017

Quasi-independence for nodal lines

Alejandro Rivera, Hugo Vanneuville

We prove a quasi-independence result for level sets of a planar centered stationary Gaussian field with covariance $(x, y) \mapsto κ (x - y)$ . As a first application, we study percolatio…