Quentin Dubroff

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math.CO2024

Note on a conjecture of Talagrand: expectation thresholds vs. fractional expectation thresholds

Quentin Dubroff, Jeff Kahn, Jinyoung Park

We show that a restricted version of a conjecture of M. Talagrand on the relation between "expectation thresholds" and "fractional expectation thresholds" follows easily from a str…

math.CO2022

Reverse discrepancy and almost zero-sum stars

Quentin Dubroff

For $f$ chosen from the ${- 1, 1}$ -valued functions on the edges of a hypergraph $H = (V, E)$ with $\sum_{e \in E} f (e) = 0$ , how large can one make $\min_{v \in V} |\sum_…