3 papers
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
The two-dimensional Directed Spanning Forest
Dipranjan Pal, Kumarjit Saha
We investigate the \textit{ directed spanning forest} (DSF), a directed forest whose vertex set is given by a homogeneous Poisson point process, in which each Poiss…
math.PR2025
Edge spectra of Gaussian random symmetric matrices with correlated entries
Debapratim Banerjee, Soumendu Sundar Mukherjee, Dipranjan Pal
We study the largest eigenvalue of a Gaussian random symmetric matrix , with zero-mean, unit variance entries satisfying the condition $\sup_{(i, j) \ne (i', j')}|\mathbb{E}[X…