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Caltech/UCLA/USC Joint Analysis Seminar

Tuesday, February 7, 2023
3:30pm to 4:30pm
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Linde Hall 310
Radial projections in the plane
Hong Wang, Department of Mathematics, UCLA,

Let x be a point in the plane, the radial projection \pi_x is defined by pi_x(y)= \frac{x-y}{|x-y|} for any y\neq x\in \mathbb{R}^2. Suppose that X is a Borel set in the plane and is not contained in any line, then we show that there exists a point x\in X such that \pi_x (X) has dimension equals to \min \{ \dim_H X, 1\}. This is joint work with Tuomas Orponen and Pablo Shmerkin.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].