硬磁盘构型空间的计算拓扑学
代数拓扑
2013-05-30 v3 机器人学
数学物理
math.MP
摘要
我们通过实验探索了硬磁盘构型空间的拓扑性质，并表明在少量粒子情况下即可观察到拓扑的若干变化。结果说明了 Baryshnikov、Bubenik 和 Kahle 的一个定理，即临界点对应于具有平衡机械应力的磁盘构型，并提出了当磁盘数量趋于无穷时关于渐近拓扑的猜想。
引用
@article{arxiv.1108.5719,
title = {Computational topology for configuration spaces of hard disks},
author = {Gunnar Carlsson and Jackson Gorham and Matthew Kahle and Jeremy Mason},
journal= {arXiv preprint arXiv:1108.5719},
year = {2013}
}
备注
version 3: 16 pages, 11 figures; made minor changes requested by journal --- changed some color figures to black and white, and reordered bibliography to appear in order of citation rather than alphabetical order