Incidence geometry
Description
I am interested in the problem of studying incidence lower bounds. The general setup is as follows: given a collection of geometric objects (such as points and tubes in the plane), what conditions guarantee that there is a non-trivial incidence? This has applications to problems in fractal geometry, such as questions related to Nikodým sets and to the visibility conjecture.
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Relevant Research Articles
- Visible parts and lower bounds on point-ray incidences
With: Tuomas Orponen Journal: Preprint (submitted) Links: pdf