activity
20062026
most citedPhase transition and level-set percolation for the Gaussian free field

91 citations · 455 across the 28 of their papers we have counts for

collaborators

32 papers

math.PR2026

An effective energy-enstrophy diffusion process with a condensation bound

Alain-Sol Sznitman, Klaus Widmayer

We use Gaussian measure on to define the coefficients of an elliptic diffusion and show that it lives in an open cone of . One component represents ens…

math.PR2026

An inviscid limit to an effective energy-enstrophy diffusion process

Alain-Sol Sznitman, Klaus Widmayer

In this article we consider a stationary -dimensional Galerkin-Navier-Stokes type evolution with Brownian forcing and random stirring (of arbitrarily small strength that plays t…

math.PR2022★ 3 cited

On the spectral gap in the Kac-Luttinger model and Bose-Einstein condensation

Alain-Sol Sznitman

We consider the Dirichlet eigenvalues of the Laplacian among a Poissonian cloud of hard spherical obstacles of fixed radius in large boxes of , . In a large…

math.PR2021★ 7 cited

On the cost of the bubble set for random interlacements

Alain-Sol Sznitman

The main focus of this article concerns the strongly percolative regime of the vacant set of random interlacements on , with . We investigate the occurrence…

math.PR2020★ 10 cited

Excess deviations for points disconnected by random interlacements

Alain-Sol Sznitman

We consider random interlacements on , , when their vacant set is in a strongly percolative regime. Given a large box centered at the origin, we establish a…

math.PR2019

On the -property of the percolation function of random interlacements and a related variational problem

Alain-Sol Sznitman

We consider random interlacements on , . We show that the percolation function that to each attaches the probability that the origin does not belon…