  The large proper-time behaviour of expanding boost-invariant fluids has
provided many crucial insights into quark-gluon plasma dynamics. Here we
formulate and explore the late-time behaviour of nonequilibrium dynamics at the
level of linearized perturbations of equilibrium, but without any special
symmetry assumptions. We introduce a useful quantitative approximation scheme
in which hydrodynamic modes appear as perturbative contributions while
transients are nonperturbative. In this way, solutions are naturally organized
into transseries as they are in the case of boost-invariant flows. We focus our
attention on the ubiquitous telegrapher's equation, the simplest example of a
causal theory with a hydrodynamic sector. In position space we uncover novel
transient contributions as well as Stokes phenomena which change the structure
of the transseries based on the spacetime region or the choice of initial data.
