arXiv:1108.5719
Computational topology for configuration spaces of hard disks
Computational topology for configuration spaces of hard disks
著者: Gunnar Carlsson, Jackson Gorham, Matthew Kahle, Jeremy Mason
分類: math.AT, cs.RO, math-ph, math.MP
原文アブストラクト
We explore the topology of configuration spaces of hard disks experimentally, and show that several changes in the topology can already be observed with a small number of particles. The results illustrate a theorem of Baryshnikov, Bubenik, and Kahle that critical points correspond to configurations of disks with balanced mechanical stresses, and suggest conjectures about the asymptotic topology as the number of disks tends to infinity.