4 papers · 1 filter
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-…
Thresholds and Fluctuations for Colorful Arithmetic Progressions in Sparse Random Colorings
Bhaswar B. Bhattacharya, Sanchayan Bhowal, Atmadeep Sengupta
In this paper, we derive thresholds and fluctuations for arithmetic progressions with prescribed color patterns in sparse random colorings of , where each…
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…
Ising Models on Inhomogeneous Random Graphs: Inference, Local Asymptotic Minimaxity, and Limit of Experiments
Somabha Mukherjee, Sanchayan Bhowal, Anirban Chatterjee +1
In this paper, we develop an inferential framework with sharp asymptotic optimality guarantees for Ising models on inhomogeneous random graphs in the subcritical parameter regime.…