Permanent problem IDPPL 175
Probability
For biased product measure Pδ on {0,1}ᴺ, prove Talagrand’s dimension-free q-covering assertion for every high-measure family D—or meet the prize PDF’s stated weaker bound using a parameter δ′ depending only on δ.
For biased product measure Pδ on {0,1}ᴺ, prove Talagrand’s dimension-free q-covering assertion for every high-measure family D—or meet the prize PDF’s stated weaker bound using a parameter δ′ depending only on δ.
Resolve the official statement or its explicitly qualifying relaxation. Talagrand’s general conditions say he will award prizes while able to understand the submitted proof; authorship is not required and no expiry is stated.