Many have praised this inequality as an incredibly awesome one. Can you point out a few problems where this inequality was crucial? I would especially appreciate the applications where the use of this inequality is easy to follow (such as for example, in combinatorics).
2025-01-13 05:35:06.1736746506
What are some of the most compelling applications of Talagrand's concentration inequality?
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In communication complexity: it is at the core of one of the proofs of the $\Omega(n)$ lower bound on the randomized communication complexity of Gap-Hamming, a problem that had remained open until 2010 (when it was first shown by Chakrabarti and Regev).