Invariances in variance estimates

Details Invariances in variance estimates Invariances in variance estimates

2011-06-29

arxiv.org/abs/1106.5985v1

Mathematics

Functional Analysis

Scientific paper

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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