Tainara Borges
The University of Pennsylvania
Falconer-type results for finite graphs with multiple pins
November 26, 2025 - 3:30 pm to 4:30 pm
ESB 4133 (PIMS Library)
Falconer-type problems seek Hausdorff-dimension thresholds guaranteeing that thin subsets of R d contain rich geometric patterns. For a compact set E ⊂ R d , the classical object is the distance set ∆(E) = { |x − y| : x, y ∈ E }, and its pinned variant ∆y (E) = { |x − y| : x ...
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