4 papers
Phase transitions for a unidirectional elephant random walk with a power law memory II: Some sharper estimates
Rahul Roy, Masato Takei, Hideki Tanemura
We continue our study of the unidirectional elephant random walk (uERW) initiated in {\it {Electron. Commun. Probab.}} ({\bf 29} 2024, article no. 78). In this paper we obtain defi…
How often can two independent elephant random walks on meet?
Rahul Roy, Masato Takei, Hideki Tanemura
We show that two independent elephant random walks on the integer lattice meet each other finitely often or infinitely often depends on whether the memory parameter $p…
The elephant random walk in the triangular array setting
Rahul Roy, Masato Takei, Hideki Tanemura
Gut and Stadmüller (2021, 2022) initiated the study of the elephant random walk with limited memory. Aguech and El Machkouri (2024) published a paper in which they discuss an exte…
Phase transitions for a unidirectional elephant random walk with a power law memory
Rahul Roy, Masato Takei, Hideki Tanemura
For the standard elephant random walk, Laulin (2022) studied the case when the increment of the random walk is not uniformly distributed over the past history instead has a power l…