All reports by Author Guy Kindler:

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TR23-133
| 13th September 2023
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David Ellis, Guy Kindler, Noam Lifshitz, Dor Minzer#### Product mixing in compact Lie groups

Revisions: 2

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TR20-009
| 6th February 2020
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Esty Kelman, Subhash Khot, Guy Kindler, Dor Minzer, Muli Safra#### Theorems of KKL, Friedgut, and Talagrand via Random Restrictions and Log-Sobolev Inequality

David Ellis, Guy Kindler, Noam Lifshitz, Dor Minzer

If $G$ is a group, we say a subset $S$ of $G$ is product-free if the equation $xy=z$ has no solutions with $x,y,z \in S$. For $D \in \mathbb{N}$, a group $G$ is said to be $D$-quasirandom if the minimal dimension of a nontrivial complex irreducible representation of $G$ is ... more >>>

Esty Kelman, Subhash Khot, Guy Kindler, Dor Minzer, Muli Safra

We give alternate proofs for three related results in analysis of Boolean functions, namely the KKL

Theorem, Friedgutâ€™s Junta Theorem, and Talagrandâ€™s strengthening of the KKL Theorem. We follow a

new approach: looking at the first Fourier level of the function after a suitable random restriction and

applying the Log-Sobolev ...
more >>>