Nicole Drakos
Research Blog
Welcome to my Research Blog.
This is mostly meant to document what I am working on for myself, and to communicate with my colleagues. It is likely filled with errors!
This project is maintained by ndrakos
Stellar Mass Functions
Abundance matching requires a stellar mass function (SMF) or luminosity function. For now, I am using the parameterization from Li & White 2009 which is a parameterization for the SMF made of three piece-wise Schechter functions to describe SDSS data at low redshift, shown in the figure below.
Eventually, this will need to be extended to larger redshifts. For example, in Williams et al. 2018, they use continuously evolving Schechter functions for both star-forming and quiescent galaxies for galaxies between redshifts \(0 \le z \le 10\). Constraints from \(0 \le z \le 4\) are from Tomczak et al. 2014. At higher redshifts, the SMF is no longer well constrained, and is instead inferred from UV luminosity functions.
Things to sort out:
(1) Method for extending this to high redshifts (\(z=10\)) using UV luminosity functions
(2) How to include uncertainty in the SMF parameterization in abundance matching algorithm
(3) Are there any updated parameterizations since those given in Williams et al. 2018?