Short Probabilistic Proof of the Brascamp-Lieb and Barthe Theorems
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چکیده
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Optimisers for the Brascamp–lieb Inequality
We find all optimisers for the Brascamp–Lieb inequality, thus completing the problem which was settled in special cases by Barthe; Carlen, Lieb and Loss; and Bennett, Carbery, Christ and Tao. Our approach to the solution is based on the heat flow methods introduced by the second and third sets of authors above. We present the heat flow method in the form which is most appropriate for our study ...
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