3 problems

Let $\mathfrak{q}\in[0,\infty)$, and let $\Sigma_{\mathfrak{q}}$ denote the spectrum of the diagonal Fibonacci operator with parameter $\mathfrak{q}$. Monotonicity conjecture. The…

Let $\alpha(t)=(\mathfrak{p}(t),\mathfrak{q}(t))$ be an analytic curve in $\mathbb{R}^2\setminus\{(1,0)\}$ such that $\mathfrak{p}(t)\neq 0$ for all $t$, and let…

Let $\boldsymbol{\theta}=(\theta_1,\theta_2)$ denote the parameters of the tridiagonal Fibonacci Hamiltonian, with $theta1 eq 0$ and $boldsymbol{theta} eq(1,0)$, and let…