Jaume de Dios Pont

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20192026

most citedAdditive energies on discrete cubes

1 citations · 3 across the 17 of their papers we have counts for

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math.CO2021★ 1 cited

Additive energies on discrete cubes

Jaume de Dios Pont, Rachel Greenfeld, Paata Ivanisvili +1

We prove that for $d \geq 0$ and $k \geq 2$ , for any subset $A$ of a discrete cube ${0, 1}^{d}$ , the $k -$ higher energy of $A$ (the number of $2 k -$ tuples $(a_{1}, a_{2}, \dots, a_{2 k})$ in $A…

math.CA2021

On classical inequalities for autocorrelations and autoconvolutions

Jaume de Dios Pont, José Madrid

In this paper we study an autocorrelation inequality proposed by Barnard and Steinerberger. The study of these problems is motivated by a classical problem in additive combinatoric…