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Esty Kelman

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Random Restrictions and Fourier Concentration 1Analysis and TCS Boot Camp 20232023-06-05
Proves the KKL lower bound that a balanced Boolean function has some variable influence at least constant times log n / n, using random restrictions and…
Talk
Random Restrictions and Fourier Concentration 2Analysis and TCS Boot Camp 20232023-06-05
Correlation inequality uses hypercontractivity (L4 bound ~3^d) to bound E[f g] for Boolean f and degree-d real g and deduces KKL and Friedgut-style…
Talk
Theorems of KKL, Friedgut, and Talagrand via Random Restrictions and Log-Sobolev InequalityITCS 20212021-01-06
Proves KKL, Friedgut and Talagrand without hypercontractivity by combining random restrictions with a version of the log-Sobolev inequality. Shows that…
Talk
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