2 papers
math.CA2026
Favard length and generalized projections
Izabella Laba, Alex McDonald, Krystal Taylor
We investigate generalized Favard lengths associated to smooth families of nonlinear projections. Under suitable regularity and transversality assumptions, we prove that generalize…
math.CA2025
Point configurations in sets of sufficient topological structure and a topological {E}rdős similarity conjecture
Alex McDonald, Krystal Taylor
We explore the occurrence of point configurations within non-meager (second category) Baire sets. A celebrated result of Steinhaus asserts that and contain an interval…