3 papers
math.CO2021
On a problem of M. Talagrand
Keith Frankston, Jeff Kahn, Jinyoung Park
We address a special case of a conjecture of M. Talagrand relating two notions of "threshold" for an increasing family of subsets of a finite set . The full conject…
math.CO2019
Thresholds versus fractional expectation-thresholds
Keith Frankston, Jeff Kahn, Bhargav Narayanan +1
Proving a conjecture of Talagrand, a fractional version of the 'expectation-threshold' conjecture of Kalai and the second author, we show for any increasing family on a finite…
math.CO2017
On regular 3-wise intersecting families
Keith Frankston, Jeff Kahn, Bhargav Narayanan
Ellis and the third author showed, verifying a conjecture of Frankl, that any -wise intersecting family of subsets of admitting a transitive automorphism group…