Yuriy Shulzhenko

collaborators

2 papers

math.PR2026

Sharp connectivity bounds for the vacant set of random interlacements

Subhajit Goswami, Pierre-FranÃ§ois 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-FranÃ§ois 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…