Uniform Sampling and Visualization of 3D Reluctant Walks

Fuente: arXiv
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Autori principali: Buckley, Benjamin, Mishna, Marni
Natura: Preprint
Pubblicazione: 2024
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author Buckley, Benjamin
Mishna, Marni
author_facet Buckley, Benjamin
Mishna, Marni
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_16397
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Uniform Sampling and Visualization of 3D Reluctant Walks
Buckley, Benjamin
Mishna, Marni
Discrete Mathematics
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.
title Uniform Sampling and Visualization of 3D Reluctant Walks
topic Discrete Mathematics
url https://arxiv.org/abs/2406.16397