  We study the energy losses of the tau lepton in matter through
electromagnetic processes at ultra-high energy (UHE). We use both a stochastic
and a continuous framework to treat these interactions and compare the flux of
tau leptons propagated after some amount of matter. We discuss the accuracy of
the approximation of continuous energy losses by studying the propagation in
standard rock of taus with both mono-energetic and power law injection spectra.
