English

Elephant Random Walk on the Triangular Lattice

Probability 2026-03-17 v1

Abstract

In this report, we introduce the elephant random walk on the triangular lattice over R2R^2 incorporating directions by extending the model developed in \cite{baur2016elephant}. We study the behavior of the walk by finding the appropriate scaling limits. This model was studied as a part of my Master of Statistics, 2018 final year dissertation at Indian Statistical Institute, Kolkata.

Keywords

Cite

@article{arxiv.2603.14402,
  title  = {Elephant Random Walk on the Triangular Lattice},
  author = {Rohit Chaudhuri},
  journal= {arXiv preprint arXiv:2603.14402},
  year   = {2026}
}
R2 v1 2026-07-01T11:20:45.210Z