We investigate stationarity and stability of half-spaces as isoperimetric sets for product probability measures, considering the cases of coordinate and non-coordinate half-spaces. Moreover, we present several examples to which our results can be applied, with a particular emphasis on the logistic measure.
Isoperimetry and Stability of Hyperplanes for Product Probability Measures / F. Barthe; C. Bianchini; A. Colesanti;. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 192:(2013), pp. 165-190. [10.1007/s10231-011-0217-y]
Isoperimetry and Stability of Hyperplanes for Product Probability Measures.
BIANCHINI, CHIARA;COLESANTI, ANDREA
2013
Abstract
We investigate stationarity and stability of half-spaces as isoperimetric sets for product probability measures, considering the cases of coordinate and non-coordinate half-spaces. Moreover, we present several examples to which our results can be applied, with a particular emphasis on the logistic measure.File in questo prodotto:
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