papers

Publications (7)

math.PR2025

Large Deviations for Markovian Graphon Processes and Associated Dynamical Systems on Networks

Shankar Bhamidi, Amarjit Budhiraja, Souvik Ray

We consider temporal models of rapidly evolving Markovian networks whose edge-formation and dissolution rates are determined by time-dependent spatial kernels. Equivalently, these…

math.PR2024

Component Spectrum of Large Sparse Uniformly Random Magical Squares

Souvik Ray

In this paper, we shall try to deduce asymptotic behaviour of component spectrum of random magical squares with line sum , which can also be identifi…

math.ST2022

Characterizing Logarithmic Bregman Functions

Souvik Ray, Subrata Pal, Sumit Kumar Kar +1

Minimum divergence procedures based on the density power divergence and the logarithmic density power divergence have been extremely popular and successful in generating inference…

math.PR2024

On the stability of solutions to random optimization problems under small perturbations

Sourav Chatterjee, Souvik Ray

Consider the Euclidean traveling salesman problem with random points on the plane. Suppose that one of the points is shifted to a new random location. This gives us a new optim…

math.PR2024

Random walk in slowly changing environments

Bryan Park, Souvik Ray

A Random Walk in Changing Environment (RWCE) is a weighted random walk on a locally finite, connected graph with random, time-dependent edge-weights. This includes self-interac…

math.ST2022

Characterizing the Functional Density Power Divergence Class

Souvik Ray, Subrata Pal, Sumit Kumar Kar +1

Divergence measures have a long association with statistical inference, machine learning and information theory. The density power divergence and related measures have produced man…