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Department of Mathematical Sciences

Seminar details

Arithmetic Study Group: Approximation by random fractions

Presented by Felipe Ramirez, Wesleyan University

18 September 2018 14:00 in CM219

In Diophantine approximation, we study questions concerning the approximation of points in the unit interval by rational numbers. Often, one is interested in restricting numerators to lie in some subset of {0, 1, …, n} for each denominator n. For example, the Duffin—Schaeffer Conjecture concerns approximation by reduced fractions, meaning we restrict numerators to the subset consisting of numbers co-prime to n. In this talk I will discuss approximation by random fractions, by which I mean that numerators will be confined to randomly chosen subsets.

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