2 papers
math.PR2025
Revisiting scaling limits for critical inhomogeneous random graphs with finite third moments
Louigi Addario-Berry, Sasha Bell, Prabhanka Deka +4
We consider the rank-1 inhomogeneous random graph in the Brownian regime in the critical window. Aldous studied the weights of the components, and showed that this ordered sequence…
math.PR2025
Geometry of critical discrete structures: long-range percolation on the hierarchical lattice and the discrete torus
Arghyadeep Chatterjee, Sourish Maniyar, Sanchayan Sen
Consider (a) balls of growing volumes in the -dimensional hierarchical lattice, and (b) the -dimensional discrete torus on vertices. Place edges…