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math.CO2023
On Optimal Point Sets Determining Distinct Triangles
Eyvindur A. Palsson, Edward Yu
Erdős and Fishburn studied the maximum number of points in the plane that span distances and classified these configurations, as an inverse problem of the Erdős distinct distan…
math.CA2023
A framework for discrete bilinear spherical averages and applications to -improving estimates
Theresa C. Anderson, Angel V. Kumchev, Eyvindur A. Palsson
We decompose the discrete bilinear spherical averaging operator into simpler operators in several ways. This leads to a wide array of extensions, such as to the simplex averaging o…
math.CA2023
On restricted Falconer distance sets
José Gaitan, Allan Greenleaf, Eyvindur Ari Palsson +1
We introduce a class of Falconer distance problems, which we call of restricted type, lying between the classical version and its pinned variant. Prototypical restricted distance s…