English

Uniform Sampling and Visualization of 3D Reluctant Walks

Discrete Mathematics 2024-06-25 v1

Abstract

A family of walks confined to the first orthant whose defining stepset has drift outside of the region can be challenging to sample uniformly at random for large lengths. We address this by generalizing the 2D walk sampler of Lumbroso et al. to handle 3D walks restricted to the first orthant. The sampler includes a visualizer and means to animate the walks.

Cite

@article{arxiv.2406.16397,
  title  = {Uniform Sampling and Visualization of 3D Reluctant Walks},
  author = {Benjamin Buckley and Marni Mishna},
  journal= {arXiv preprint arXiv:2406.16397},
  year   = {2024}
}

Comments

In Proceedings GASCom 2024, arXiv:2406.14588

R2 v1 2026-06-28T17:16:54.055Z