4 problems

Let $v_0\in\mathbb{Z}^d\setminus\{0\}$, and suppose $T_{x,v_0}(n)$ is coboundary equivalent to a companion matrix whose recurrence $L$ satisfies the Poincaré–Perron conditions, wit…

Let $v_0\in\mathbb{Z}^d\setminus\{0\}$, and suppose $\mathcal{L}^{p,q}_{x,v_0}(n)$ converges to $l\in\mathbb{R}$ with non-trivial convergence rate $\rho<0$. For an angular domain…

Let $v_0\in\mathbb{Z}^d\setminus\{0\}$, and suppose $\mathcal{L}^{p,q}_{x,v_0}(n)$ converges to $l\in\mathbb{R}$ with non-trivial convergence rate $\rho<0$ and irrationality measur…

Let $v_0\in\mathbb{Z}^d\setminus\{0\}$, and suppose $\mathcal{L}^{p,q}_{x,v_0}(n)$ converges to $l\in\mathbb{R}$ with non-trivial convergence rate. An angular domain…