### On the epsilon-density of a vector in the unit torus

Linfoot Number Theory Seminar

5th June 2019, 11:00 am – 12:00 pm

Howard House, 4th Floor Seminar Room

A central question surronding the problem of constructing so-called dense forests in convex geometry is the following : consider a finite set of multiples of a vector in the unit torus. When does this set get epsilon-close to any point in the torus?

We will answer this question and, time permitting, show its relation with the aforementioned problem in convex geometry.

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