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A theorem by Peres and Schlag

Time: 9/16 Fri. 3:00-4:00PM
Location: DH 249.
Speaker: Sovanlal Mondal

Abstract: In this talk, we will prove that if {\left({a}_{n}\right)} is lacunary, i.e. \frac{{a}_{{n}+{1}}}{{a}_{n}}>\rho>{1} for every {n} , then we can find an irrational number {r} such that

{r}{a}_{n} (mod 1) is not dense in the one-dimensional torus. The proof that we will present in the talk was given by Yuval Peres and Wilhelm Schlag using Lovasz local lemma.

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