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Isoperimetry between exponential and Gaussian. (English) Zbl 1132.26005

The authors study isoperimetric problems involving product probability measures with tails between the exponetial and Gaussian regime. Furthermore, many examples are exhibited to show that the coordinate half-spaces are approximate solutions of the isoperimetric problem.

MSC:

26D10 Inequalities involving derivatives and differential and integral operators
47D07 Markov semigroups and applications to diffusion processes
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