Nandan Malhotra

collaborators

Showing math.PRShow all

3 papers · 1 filter

math.PR2025

Spectral properties of the Laplacian of Scale-Free Percolation models

Rajat Subhra Hazra, Nandan Malhotra

We consider scale-free percolation on a discrete torus $V_{N}$ of size $N$ . Conditionally on an i.i.d. sequence of Pareto weights $(W_{i})_{i \in V_{N}}$ with tail expon…

math.PR2025

The spectrum of dense kernel-based random graphs

Alessandra Cipriani, Rajat Subhra Hazra, Nandan Malhotra +1

Kernel-based random graphs (KBRGs) are a broad class of random graph models that account for inhomogeneity among vertices. We consider KBRGs on a discrete $d -$ dimensional torus $\m…

math.PR2023

Limiting Spectra of inhomogeneous random graphs

Luca Avena, Rajat Subhra Hazra, Nandan Malhotra

We consider sparse inhomogeneous Erdős-Rényi random graph ensembles where edges are connected independently with probability $p_{ij}$ . We assume that $p_{ij}= \varepsilon_N f(w_i,…