Author

Sanchayan Bhowal

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Preprint Oct 2026

Higher-Order Fluctuations of the Log-Partition Function for Ising Models on Inhomogeneous Random Graphs

Classical central limit theorems (CLTs) for log-partition functions of Ising models on Erd\H{o}s-R\'enyi random graphs lead to degenerate limits in the high-temperature regime when self-loops are absent. In this paper, we fill this surprising gap in the more general context of Ising models on inhomogeneous random graph...

Sanchayan Bhowal, Somabha Mukherjee · 0 citations

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