Matching the Evolution of the Stellar Mass Function Using Log-normal   Star Formation Histories
  We show that a model consisting of individual, log-normal star formation histories for a volume-limited sample of $z\approx0$ galaxies reproduces the evolution of the total and quiescent stellar mass functions at $z\lesssim2.5$ and stellar masses $M_*\geq10^{10}\,{\rm M_\odot}$. This model has previously been shown to reproduce the star formation rate/stellar mass relation (${\rm SFR}$--$M_*$) over the same interval, is fully consistent with the observed evolution of the cosmic ${\rm SFR}$ density at $z\leq8$, and entails no explicit "quenching" prescription. We interpret these results/features in the context of other models demonstrating a similar ability to reproduce the evolution of (1) the cosmic ${\rm SFR}$ density, (2) the total/quiescent stellar mass functions, and (3) the ${\rm SFR}$--$M_*$ relation, proposing that the key difference between modeling approaches is the extent to which they stress/address diversity in the (starforming) galaxy population. Finally, we suggest that observations revealing the timescale associated with dispersion in ${\rm SFR}(M_*)$ will help establish which models are the most relevant to galaxy evolution. 
Louis E. Abramson (1), Michael D. Gladders (1), Alan Dressler (2),   Augustus Oemler (2), Bianca Poggianti (3), and Benedett...
astro-ph.GA astro-ph.CO