UBC Harmonic Analysis and Fractal Geometry: Benjamin Bruce
Topic
Two-point patterns determined by curves
Speakers
Details
Given a smooth function Φ:ℝ→ℝd, we ask whether every Borel subset of ℝd with sufficiently high Hausdorff dimension contains a pair of the form {x,x+Φ(t)} with Φ(t)≠0. We prove that a large class of ``curved” functions have this property while certain ``flat” functions do not. This is joint work with Malabika Pramanik.
Additional Information
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This is a Past Event
Event Type
Scientific, Seminar
Date
October 25, 2022
Time
-
Location
Registration