3 papers
math.PR2026
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…
math.PR2026
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…
math.PR2025
Multivariate Generalized Counting Process via Gamma Subordination
Manisha Dhillon, Kuldeep Kumar Kataria, Shyan Ghosh
In this paper, we study a multivariate gamma subordinator whose components are independent gamma processes subject to a random time governed by an independent negative binomial pro…