We consider an isoperimetric problem for product measures with respect to the uniform enlargement of sets. As an example, we find (asymptotically) extremal sets for the infinite product of the exponential measure.
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Univ Pavia, Dipartimento Matemat, Via Ferrata 5, I-27100 Pavia, ItalyUniv Pisa, Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy
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McMaster Univ, Dept Math & Stat, 1280 Main St West, Hamilton, ON L8S 4K1, CanadaMcMaster Univ, Dept Math & Stat, 1280 Main St West, Hamilton, ON L8S 4K1, Canada
Alama, Stanley
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Bronsard, Lia
Lu, Xinyang
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Lakehead Univ, Dept Math Sci, 955 Oliver Rd, Thunder Bay, ON P7B 5E1, CanadaMcMaster Univ, Dept Math & Stat, 1280 Main St West, Hamilton, ON L8S 4K1, Canada
Lu, Xinyang
Wang, Chong
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Washington & Lee Univ, Dept Math, Chavis Hall,204 W Washington St, Lexington, VA 24450 USAMcMaster Univ, Dept Math & Stat, 1280 Main St West, Hamilton, ON L8S 4K1, Canada