Title: Minimal neutrinoless double decay rates from anarchy to flavor symmetries. Abstract: Experimental probes of neutrinoless double beta decay are approaching an interesting regime and should produce valuable data in the near future. Model independent interpretations of these results are critical to the understanding of neutrino mass generation. Assuming the Majorana neutrino nature, a vanishing neutrinoless double beta decay rate is excluded by the Extended Black Box Theorem, but it is natural to wonder exactly how small it can be given existing constraints. To answer this question, I explore the two opposite extremes of neutrino mass generation dictated by flavor symmetries and mass matrix anarchy. Armed with these minimal rates I will discuss how next generation experiments can constrain the available model space. I also point out how these results are modified by the addition of new light degrees of freedom. In particular, there is a strong connection between light sterile neutrinos and lepton number violation.