Recurrence, Transience, and the Rate of Escape for Elephant Random Walks with Two Memory Channels
Year: 2026
Type: preprint
Abstract: We study the one-dimensional elephant random walk with two memory channels introduced by Saha [Phys.\ Rev.\ E \textbf{106}, L062105 (2022)] with memory parameter $p\in(0,1)$. Maulik, Roy and Sadhukhan [arXiv:2509.10225] proved recurrence for $p\le11/16$ and transience for $p>7/8$, leaving the range $11/16
Source: arXiv (Cornell University)
Author: Ngoc, Ngo Phuoc Nguyen
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212054093