Invariances in variance estimates
classification
🧮 math.FA
math.PR
keywords
estimatesvarianceaccountappliedbrascamp-liebconservativeimprovementsinequality
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We provide variants and improvements of the Brascamp-Lieb variance inequality which take into account the invariance properties of the underlying measure. This is applied to spectral gap estimates for log-concave measures with many symmetries and to non-interacting conservative spin systems.
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