Pierre-Franccois Rodriguez

collaborators

3 papers

math.PR2025

Sharp connectivity bounds for the vacant set of random interlacements

Subhajit Goswami, Pierre-François Rodriguez, Yuriy Shulzhenko

We consider percolation of the vacant set of random interlacements at intensity $u$ in dimensions three and higher, and derive lower bounds on the truncated two-point function for…

math.PR2025

Strong local uniqueness for the vacant set of random interlacements

Subhajit Goswami, Pierre-François Rodriguez, Yuriy Shulzhenko

We consider the the vacant set $V^{u}$ of random interlacements on $Z^{d}$ in dimensions $d \geq 3$ . For varying intensity $u > 0$ , the connectivity properties of $\m…

math.PR2024

Sharp threshold for the ballisticity of the random walk on the exclusion process

Guillaume Conchon--Kerjan, Daniel Kious, Pierre-François Rodriguez

We study a non-reversible random walk advected by the symmetric simple exclusion process, so that the walk has a local drift of opposite sign when sitting atop an occupied or an em…