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math.PR2026
Higher-Order Fluctuations of the Log-Partition Function for Ising Models on Inhomogeneous Random Graphs
Sanchayan Bhowal, Somabha Mukherjee
Classical central limit theorems (CLTs) for log-partition functions of Ising models on Erdős-Rényi random graphs lead to degenerate limits in the high-temperature regime when self-…
math.PR2026
Scaling Limits for Ising Models on Inhomogeneous Random Graphs and Applications
Sanchayan Bhowal, Anirban Chatterjee, Somabha Mukherjee
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 (encompas…