One-Dimensional Divergence-Type Jacobi Operators Driven by The Doubling Map

Long Li, Wei Wang, Shiwen Zhang

We study one-dimensional Jacobi operators of divergence-gradient type on ${\ell }^2({\mathbb{Z}}_{\ge 0})$, with coefficients generated by the doubling map, $a_n(x)=a(2^n x \mathrm{mod…