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Amnesic Elephant Random Walk with Polynomially Decaying Step Sizes
Shyan Ghosh, Manisha Dhillon, Kuldeep Kumar Kataria
In this paper, we introduce an amnesic elephant random walk with polynomially decaying step sizes. The walk retains the loss of memory effect of amnesic ERW, however its step sizes…
On Elephant Random Walk with Delayed Amnesia
Manisha Dhillon, Shyan Ghosh, Kuldeep Kumar Kataria
In this paper, we introduce a modified elephant random walk that exhibits a transition from a uniform memory mechanism to a selective amnesic memory mechanism. Using a vector marti…
On multidimensional elephant random walk with stops and random step sizes
Shyan Ghosh, Manisha Dhillon, Kuldeep Kumar Kataria
In this paper, we study the number of moves in a multidimensional elephant random walk with stops. We establish several convergence results for the number of moves, including the l…