2 papers
math.PR2026
Marked random graphs with given degree sequence: large deviations on the local topology
Rangel Baldasso, Alan Pereira, Guilherme Reis
We investigate the behavior of the empirical neighborhood distribution of marked graphs in the framework of local weak convergence. Here we extend known results by considering unif…
math.PR2026
Large deviations for marked sparse random graphs with applications to interacting diffusions
Rangel Baldasso, Roberto I Oliveira, Alan Pereira +1
We consider the empirical neighborhood distribution of marked sparse ErdÅs-Rényi random graphs, obtained by decorating edges and vertices of a sparse ErdÅs-Rényi random graph w…