Note on a problem of M. Talagrand

DOI10.1002/rsa.20559zbMath1327.05241OpenAlexW2151674473MaRDI QIDQ3460512

Bobby DeMarco, Jeffry Kahn

Publication date: 7 January 2016

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rsa.20559

zbMATH Keywords

threshold\(p\)-small and weakly \(p\)-smallfractional and integer optimaincreasing family

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Probabilistic measure theory (60A10) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

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On a problem of M. Talagrand, A proof of the Kahn–Kalai conjecture

Cites Work

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• Threshold functions
• Piercing convex sets and the Hadwiger-Debrunner \((p,q)\)-problem
• On the ratio of optimal integral and fractional covers
• Two combinatorial covering theorems
• Thresholds and Expectation Thresholds
• The Generic Chaining