Subhajit Goswami

collaborators

Showing math.PRShow all

4 papers · 1 filter

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.PR2026

Critical level-set percolation on finite graphs and spectral gap

Subhajit Goswami, Dipranjan Pal

We study the bond percolation on finite graphs induced by the level-sets of zero-average Gaussian free field on the associated metric graph above a given height (level) parameter $…

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…

math.PR2024

Equality of critical parameters for percolation of Gaussian free field level-sets

Hugo Duminil-Copin, Subhajit Goswami, Pierre-FranÃ§ois Rodriguez +1

We consider upper level-sets of the Gaussian free field on $Z^{d}$ , for $d \geq 3$ , above a given real-valued height parameter $h$ . As $h$ varies, this defines a canonical per…