VC dimension and point configurations in fractals

Series
Other Talks
Time
Friday, February 27, 2026 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Alex McDonald – Kennesaw State University
Organizer
Ernie Croot and Cosmin Pohoata

An important class of problems at the intersection of harmonic analysis and geometric measure theory asks how large the Hausdorff dimension of a set must be to ensure that it contains certain types of geometric point configurations. We apply these tools to study configurations associated to the problem of bounding the VC-dimension of a naturally arising class of indicator functions on fractal sets.