4 papers · 1 filter
Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles
Ujan Gangopadhyay, Subhro Ghosh, Kin Aun Tan
Gibbsian structure in random point fields has been a classical tool for studying their spatial properties. However, exact Gibbs property is available only in a relatively limited c…
Fluctuations of Transverse Increments in Two-dimensional First Passage Percolation
Ujan Gangopadhyay
We consider a model of first passage percolation (FPP) where the nearest-neighbor edges of the standard two-dimensional Euclidean lattice are equipped with random variables. These…
Almost Sure Convergence of Randomized Urn Models with Application to Elephant Random Walk
Ujan Gangopadhyay, Krishanu Maulik
We consider a randomized urn model with objects of finitely many colors. The replacement matrices are random, and are conditionally independent of the color chosen given the past.…
Stochastic Approximation with Random Step Sizes and Urn Models with Random Replacement Matrices Having Finite Mean
Ujan Gangopadhyay, Krishanu Maulik
Stochastic approximation algorithm is a useful technique which has been exploited successfully in probability theory and statistics for a long time. The step sizes used in stochast…