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07/14/2023
Influences in Mixing Measures
The theory of influences in product measures has profound applications i...
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04/14/2022
Isoperimetric Inequalities Made Simpler
We give an alternative, simple method to prove isoperimetric inequalitie...
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11/17/2021
Hypercontractivity on High Dimensional Expanders: Approximate Efron-Stein Decompositions for ε-Product Spaces
We prove hypercontractive inequalities on high dimensional expanders. As...
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10/20/2021
An Invariance Principle for the Multi-slice, with Applications
Given an alphabet size m∈ℕ thought of as a constant, and k⃗ = (k_1,…,k_m...
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10/14/2020
Complexity Measures on the Symmetric Group and Beyond
We extend the definitions of complexity measures of functions to domains...
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09/11/2020
Hypercontractivity on the symmetric group
The hypercontractive inequality is a fundamental result in analysis, wit...
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11/24/2019
Revisiting Bourgain-Kalai and Fourier Entropies
The total influence of a function is a central notion in analysis of Boo...
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11/01/2019