14 citations · 65 across the 16 of their papers we have counts for
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Phase Transitions for Elephant Random Walks with Two memory Channels
Krishanu Maulik, Parthanil Roy, Tamojit Sadhukhan
Elephant random walk, introduced to study the effect of memory on random walks, is a novel type of walk that incorporates the information of one randomly chosen past step to determ…
Functional limit theorems and phase transition for step reinforced random walks with regularly varying memory
Aritra Majumdar, Krishanu Maulik
We study a class of generalized step reinforced random walks with regularly varying memory. At every step, the walker chooses a step from the past with probability proportional to…
Asymptotic Properties of Generalized Elephant Random Walks
Krishanu Maulik, Parthanil Roy, Tamojit Sadhukhan
Elephant random walk is a special type of random walk that incorporates the memory of the past to determine its future steps. The probability of this walk taking a particular step…
Feedback Interacting Urn Models
Krishanu Maulik, Manit Paul
We introduce and discuss a special type of feedback interacting urn model with deterministic interaction. This is a generalisation of the very well known Eggenberger and Polya (192…
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…