The shrinking-target conjecture for the doubling map
Let T2:R/Z→R/ZT_2:\mathbb{R}/\mathbb{Z}\to\mathbb{R}/\mathbb{Z}T2:R/Z→R/Z be the doubling map, let μ\muμ denote Lebesgue measure on R/Z\mathbb{R}/\mathbb{Z}R/Z, let ψ:N→[0,∞)\psi:\mathbb{N}\to[0,\infty)ψ:N→[0,∞), and l…