4 papers · 1 filter
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 $…
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…
Spectra of adjacency and Laplacian matrices of Erdős-Rényi hypergraphs
Soumendu Sundar Mukherjee, Dipranjan Pal, Himasish Talukdar
We study adjacency and Laplacian matrices of Erdős-Rényi -uniform hypergraphs on vertices with hyperedge inclusion probability , in the setting where can vary with $n…
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…