I am interested in Large Deviations, Random Graphs, Random Walks and random optimization problems, in general, arising out of mathematical physics, operations research and combinatorial geometry. In particular, I am interested in understanding nature of solutions of optimization problems appearing in Spin Glass models, Branching Random Walk, Random Matrix Theory and graph optimization problems like Travelling Salesman Problem.
Stability of Solutions for Random Optimization Problems under Small Perturbations. Sourav Chatterjee and Souvik Ray, 2024. Arxiv pre-print can be found here.
Random Walk in Slowly Changing Environments. Brian Kim and Souvik Ray, 2024. Submitted to Electronic Journal of Probability. Arxiv pre-print can be found here.
Component Spectrum of Large Uniformly Random Magical Squares. Souvik Ray, 2024. Arxiv pre-print can be found here.
Branching Random Walk with Infinite Progeny Mean : A Tale of Two Tails. Souvik Ray, Rajat Subhra Hazra, Parthanil Roy and Philippe Soulier. Stochastic Processes and their Applications (2023), 160:120-160.