  Coarse geometry studies metric spaces on the large scale. Our goal here is to
study dynamics from a coarse point of view. To this end we introduce a coarse
version of topological entropy, suitable for unbounded metric spaces,
consistent with the coarse perspective on such spaces. As is the case with the
usual topological entropy, the coarse entropy measures the divergence of
orbits. Following Bowen's ideas, we use $(n,\varepsilon)$-separated or
$(n,\varepsilon)$-spanning sets. However, we have to let $\varepsilon$ go to
infinity rather than to zero.
