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Limit Theorems for step reinforced random walks with regularly varying memory
Aritra Majumdar, Krishanu Maulik
We study and prove limit theorems for a class of generalized step reinforced random walks. At every step, the walker chooses a step from the past with probability proportional to a…
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…
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…