Corrigendum: Gaussian fluctuations of the elephant random walk with gradually increasing memory (2024 J. Phys. A: Math. Theor. 57 065203)

Abstract

The standard elephant random walk (ERW) is a discrete-time random walk introduced by Schütz and Trimper (2004 Phys. Rev. E 70 045101) with the particularity that the next step of the walker depends on its whole past through a parameter p ∈ [ 0 , 1 ] . In this note, we give a correction for the central limit theorem in the superdiffusive regime of the ERW with gradually increasing memory established by Aguech and El Machkouri (2024 J. Phys. A: Math. Theor. 57 065203, theorem 2). The mistake was pointed out by Roy et al (2024 arXiv:2403.02881, remark 1.1).