Falconer conjecture in the plane for random metrics

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67412We prove the following variant of the Falconer conjecture in the plane. If the dimension of a compact planar set is greater than one, then the distance set with respect to almost every ellipse has positive Lebesgue measure.Classical Analysis and ODEsCombinatorics42BFalconer conjecture in the plane for random metricstext