Labeling Commutative Diagrams with Hyperlinks in LaTeX
In the example below, a commutative diagram was drawn using Tikz. The arrows in the diagram have labels that link to the corresponding theorem below.
You can download this example here. The LaTeX code used to generate this figure is below.
\documentclass{article}
\pagestyle{empty}
\usepackage{tikz,amsmath}
\usetikzlibrary{arrows,shapes,matrix}
\newtheorem{thm}{Theorem}
\usepackage{hyperref}
\hypersetup{
colorlinks=true,
}
\begin{document}
\begin{figure}
\centering
\begin{tikzpicture}
\matrix(m)[matrix of math nodes, row sep=10em, column sep=10em]
{Q^n(t)&Q^n(\infty)\\
q(t)&q(\infty)\\};
\path[->]
(m-1-1) edge node[above]{
\hyperref[thm:stability]{Theorem \ref{thm:stability}}}
node[below] {$t \to \infty$} (m-1-2)
(m-1-1) edge node[left]{
\hyperref[thm:convergence]{Theorem \ref{thm:convergence}}}
node[right] {$\displaystyle \lim_{n \to \infty} \frac{Q^n(t)}{n}$}
(m-2-1)
(m-2-1) edge node[above]{
\hyperref[thm:fixedPoint]{Theorem \ref{thm:fixedPoint}}}
node[below] {$t \to \infty$} (m-2-2)
(m-1-2) edge node[left]{
\hyperref[thm:interchange]{Theorem \ref{thm:interchange}}}
node[right] {
$\displaystyle \lim_{n \to \infty} \frac{Q^n(\infty)}{n}$}
(m-2-2)
;
\end{tikzpicture}
\end{figure}
\newpage
\begin{thm}
\label{thm:stability}
When $\rho < 1$, for all $n$, $Q^n(t) \Rightarrow Q^n(\infty)$ as
$t \to \infty$.
\end{thm}
\newpage
\begin{thm}
\label{thm:convergence}
For any $q(0)$, when $Q^n(0)/n \to q(0)$ almost surely as $n \to
\infty$, then $Q^n(t)/n \to q(t)$ almost surely and uniformly on
compact sets $[0,T]$.
\end{thm}
\newpage
\begin{thm}
\label{thm:fixedPoint}
As $t \to \infty$, $q(t) \to q(\infty)$ for all $q(0)$.
\end{thm}
\newpage
\begin{thm}
\label{thm:interchange}
As $n \to \infty$, $Q^n(\infty)/n \to q(\infty)$ in probability.
\end{thm}
\end{document}