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math.PR2025
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…
math.PR2025
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…