Posted on September 20, 2022 by xma1

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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