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-…
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…
Thresholds and Fluctuations of Submultiplexes in Random Multiplex Networks
Bhaswar B. Bhattacharya, Sanchayan Bhowal, Karambir Das +2
In a multiplex network a common set of nodes is connected through different types of interactions, each represented as a separate graph (layer) within the network. In this paper, w…
Rates of Convergence of the Magnetization in the Tensor Curie-Weiss Potts Model
Sanchayan Bhowal, Somabha Mukherjee
In this paper, we derive distributional convergence rates for the magnetization vector and the maximum pseudolikelihood estimator of the inverse temperature parameter in the tensor…