  There is growing interest in warm dense matter (WDM) -- an exotic state on
the border between condensed matter and plasmas. Due to the simultaneous
importance of quantum and correlation effects WDM is complicated to treat
theoretically. A key role has been played by \textit{ab initio} path integral
Monte Carlo (PIMC) simulations, and recently extensive results for
thermodynamic quantities have been obtained. The first extension of PIMC
simulations to the dynamic structure factor of the uniform electron gas were
reported by Dornheim \textit{et al.} [Phys. Rev. Lett. \textbf{121}, 255001
(2018)]. This was based on an accurate reconstruction of the dynamic local
field correction. Here we extend this concept to other dynamical quantities of
the warm dense electron gas including the dynamic susceptibility, the
dielectric function and the conductivity.
