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Discrete Math

Thresholds

Jinyoung Park (Stanford University)

Location:  Hill Center 705
Date & time: Monday, 12 September 2022 at 2:00PM - 3:00PM

Abstract: Thresholds for increasing properties of random structures are a central concern in probabilistic combinatorics and related areas. In 2006, Jeff Kahn and Gil Kalai conjectured that for any nontrivial increasing property on a finite set, its threshold is never far from its "expectation-threshold," which is a natural (and often easy to calculate) lower bound on the threshold. In this talk, I will present recent progress on this topic. Based on joint work with Huy Tuan Pham.

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