Establishes stochastic isoperimetric inequalities for functional quermassintegrals on random p-concave functions and proves that Zhang's affine Sobolev inequality holds in expectation under these models.
Convex set functions in d-space
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On stochastic forms of functional isoperimetric inequalities
Establishes stochastic isoperimetric inequalities for functional quermassintegrals on random p-concave functions and proves that Zhang's affine Sobolev inequality holds in expectation under these models.