QCD Spectra and Random Matrix Models

We summarize some recent results on the application of macroscopic spectral properties of random matrix models (RMM) to the QCD spectra. A comparison to existing lattice simulation is presented both for staggered and Wilson fermions for high but finite temperature. We consider two type of mixing between the four lowest Matsubara modes, corresponding to third and fifth order algebraic equation for the pertinent resolvent, respectively.