The Constrained Isoperimetric Problem
Let X be a space and let S ⊂ X with a measure of set size |S| and boundary size |∂S|. Fix a set C ⊂ X called the constraining set. The constrained isoperimetric problem asks when we can find a subset S of C that maximizes the Følner ratio FR(S) = |S|/|∂S|. We consider different measures for subsets...
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| Format: | Others |
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BYU ScholarsArchive
2011
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| Online Access: | https://scholarsarchive.byu.edu/etd/2700 https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3699&context=etd |