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- W3146347978 abstract "The Constrained Isoperimetric Problem Minh Nhat Vo Do Department of Mathematics Master of Science 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 Folner ratio FR(S) = |S|/|∂S|. We consider different measures for subsets of R,R,Z,Z and describe the properties that must be satisfied for sets S that maximize the Folner ratio. We give explicit examples." @default.
- W3146347978 created "2021-04-13" @default.
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- W3146347978 date "2011-01-01" @default.
- W3146347978 modified "2023-09-23" @default.
- W3146347978 title "The Constrained Isoperimetric Problem" @default.
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