Transseries for causal diffusive systems

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 nonequilibrium dynamics at level linearized perturbations 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 naturally organized transseries they case flows. focus our attention on ubiquitous telegrapher's equation, simplest example causal theory with sector. position space uncover novel transient well Stokes phenomena change structure based spacetime region or choice initial data.