Additive solutions of polynomial equations on fields and decompositions of positive real numbers into sets that are closed under addition and multiplication
Kiss GergelyAnalízis szeminárium
on 3/29/23
Abstract: It is well known that planar Besicovitch sets – sets containing a unit line segment in every direction – have Hausdorff dimension 2. In a joint work with Iqra Altaf and Marianna Csörnyei we consider Besicovitch sets of Cantor graphs in the plane – sets containing a rotated (and translated) copy of a fixed Cantor graph in every direction, and prove lower bounds for their Hausdorff dimension.
