1 citations · 1 across the 2 of their papers we have counts for
4 papers
On the discrete Fisher information
Keith M. Ball, Barnabás Gárgyán
We investigate a discrete analogue of the Fisher information. By using a discrete Laplacian operator, we can construct a discrete analogue of the score function and hence of the in…
Minimal central slices of the regular simplex
Gergely Ambrus, Barnabás Gárgyán
We prove that minimal-volume hyperplane sections of the regular simplex through its centroid are parallel to a facet. The proof combines variational methods with Fourier-analytic t…
Estimates on the decay of the Laplace-Polya integral
Gergely Ambrus, Barnabás Gárgyán
The Laplace--Pólya integral, defined by , appears in several areas of mathematics. We study this q…
Non-diagonal critical central sections of the cube
Gergely Ambrus, Barnabás Gárgyán
We study the -dimensional volume of central hyperplane sections of the -dimensional cube . Our main goal is two-fold: first, we provide an alternative, simpler argum…