LSIIT CNRS UMR 7005, Université de Strasbourg, Pôle API, Boulevard Sébastien Brant, 67400 Illkirch-Graffenstaden, France
Abstract:
We show that for some special functions (called k-multigrid equidistributed functions), we can compute the limit of the frequency of patterns in the discretization of their graph, when the resolution tends to zero. This result is applied to parabolas. We deduce also that local length estimators almost never converge to the length for the parabolas.