5 citations · 6 across the 6 of their papers we have counts for
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A note on dyadic approximation in Cantor's set
Demi Allen, Simon Baker, Sam Chow +1
We consider the convergence theory for dyadic approximation in the middle-third Cantor set, , for approximation functions of the form (). In particular…
Non-Salem sets in metric Diophantine approximation
Kyle Hambrook, Han Yu
A classical result of Kaufman states that, for each the set of well approximable numbers \[ E(τ)=\{x\in\mathbb{R}: \|qx\| < |q|^{-τ} \text{ for infinitely many integers q}\}…
Rational points near self-similar sets
Han Yu
In this paper, we consider a problem of counting rational points near self-similar sets. Let be an integer. We shall show that for some self-similar measures on $\mathbb{…
Dyadic Approximation in the Middle-Third Cantor Set
Demi Allen, Sam Chow, Han Yu
In this paper, we study the metric theory of dyadic approximation in the middle-third Cantor set. This theory complements earlier work of Levesley, Salp, and Velani (2007), who inv…
Bernoulli decomposition and arithmetical independence between sequences
Han Yu
In this paper we study the following set\[A=\{p(n)+2^nd \mod 1: n\geq 1\}\subset [0.1],\] where is a polynomial with at least one irrational coefficient on non constant terms,…