VC dimension and point configurations in fractals

Series
Analysis Seminar
Time
Wednesday, March 12, 2025 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Alexander McDonald – Kennesaw State
Organizer
Benjamin Jaye

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.