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

collaborators

14 papers

math.PR2021★ 1 cited

Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension $d \geq 3$

Hugo Duminil-Copin, Alejandro Rivera, Pierre-François Rodriguez +1

For the Bargmann--Fock field on $R^{d}$ with $d \geq 3$ , we prove that the critical level $ℓ_{c} (d)$ of the percolation model formed by the excursion sets ${f \geq ℓ}$ is…

math.PR2021

On the limiting behaviour of arithmetic toral eigenfunctions

Riccardo W. Maffucci, Alejandro Rivera

We consider a wide class of families $(F_{m})_{m \in N}$ of Gaussian fields on $T^{d} = R^{d} / Z^{d}$ defined by \[F_m:x\mapsto \frac{1}{\sqrt{|Λ_m|}}\sum_{λ…

gr-qc2020

Canonical Quantization of Neutral and Charged Static Black Hole as a Gravitational Atom

David Senjaya, Alejandro Saiz Rivera

The gravitational field is usually neglected in the calculation of atomic energy levels as its effect is much weaker than the electromagnetic field, but that is not the case for a…

math-ph2020

How Lagrangian states evolve into random waves

Maxime Ingremeau, Alejandro Rivera

In this paper, we consider a compact manifold $(X, d)$ of negative curvature, and a family of semiclassical Lagrangian states $f_{h} (x) = a (x) e^{\frac{i}{h} ϕ (x)}$ on $X$ . For a wide…

math.PR2020★ 4 cited

The phase transition for planar Gaussian percolation models without FKG

Stephen Muirhead, Alejandro Rivera, Hugo Vanneuville +1

We develop techniques to study the phase transition for planar Gaussian percolation models that are not (necessarily) positively correlated. These models lack the property of posit…

math.PR2019

Talagrand's inequality in planar Gaussian field percolation