18 citations · 47 across the 11 of their papers we have counts for
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math.PR2018★ 7 cited
A proof of the Shepp-Olkin entropy monotonicity conjecture
Erwan Hillion, Oliver Johnson
Consider tossing a collection of coins, each fair or biased towards heads, and take the distribution of the total number of heads that result. It is natural to conjecture that this…
math.PR2018★ 1 cited
An extremal property of the normal distribution, with a discrete analog
Erwan Hillion, Oliver Johnson, Adrien Saumard
We prove, using the Brascamp-Lieb inequality, that the Gaussian measure is the only strong log-concave measure having a strong log-concavity parameter equal to its covariance matri…
math.NT2018
On probabilistic generalizations of the Nyman-Beurling criterion for the zeta function
Sébastien Darses, Erwan Hillion
The Nyman-Beurling criterion is an approximation problem in the space of square integrable functions on , which is equivalent to the Riemann hypothesis. This involves d…