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REPORTS > AUTHORS > SIQI LIU:
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TR21-168 | 17th November 2021
Tom Gur, Noam Lifshitz, Siqi Liu

Hypercontractivity on High Dimensional Expanders: Approximate Efron-Stein Decompositions for $\epsilon$-Product Spaces

Revisions: 1

We prove hypercontractive inequalities on high dimensional expanders. As in the settings of the p-biased hypercube, the symmetric group, and the Grassmann scheme, our inequalities are effective for global functions, which are functions that are not significantly affected by a restriction of a small set of coordinates. As applications, we ... more >>>




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