Author

Anirban Chatterjee

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Preprint Aug 2026

Scaling Limits for Ising Models on Inhomogeneous Random Graphs and Applications

In this paper, we derive quenched scaling limits for linear functionals and the empirical spin field of Ising models on inhomogeneous random graphs generated by a graphon (encompassing both dense and sparse graphs), in the high-temperature regime. We first prove a joint central limit theorem (CLT) for finite collection...

Sanchayan Bhowal, Anirban Chatterjee, Somabha Mukherjee · 0 citations

Open access Aug 2026

Higher-order graphon theory: Fluctuations, degeneracies and inference

The joint asymptotic distribution of any finite collection of network moments in random graphs sampled from a graphon, which includes both the nondegenerate case as well as the degenerate case, provides the higher-order fluctuation theory for subgraph counts in the graphon model.

Anirban Chatterjee, S. Dan, B. Bhattacharya · Annals of Statistics · 0 citations