  Lefschetz thimbles and complex Langevin dynamics both provide a means to
tackle the numerical sign problem prevalent in theories with a complex weight
in the partition function, e.g. due to nonzero chemical potential. Here we
collect some findings for the quartic model, and for U(1) and SU(2) models in
the presence of a determinant, which have some features not discussed before,
due to a singular drift. We find evidence for a relation between classical
runaways and stable thimbles, and give an example of a degenerate fixed point.
We typically find that the distributions sampled in complex Langevin dynamics
are related to the thimble(s), but with some important caveats, for instance
due to the presence of unstable fixed points in the Langevin dynamics.
