  We establish large deviations for dynamical Schr\"{o}dinger problems driven
by perturbed Brownian motions when the noise parameter tends to zero. Our
results show that Schr\"{o}dinger bridges charge exponentially small masses
outside of the support of the limiting law that agrees with the optimal
solution to the dynamical Monge-Kantorovich optimal transport problem. Our
proofs build on mixture representations of Schr\"{o}dinger bridges and
establishing exponential continuity of Brownian bridges with respect to the
initial and terminal points.
