Galaxy Clustering Tutorial

This tutorial shows how to compute galaxy clustering statistics from halo properties using the Halo Occupation Distribution (HOD) framework.

Learning Objectives

• Understand the halo model for galaxy clustering

• Compute halo-halo correlation functions

• Apply HOD models

• Calculate observable galaxy clustering (\(\xi_{gg}(r)\) and \(w_p(r_p)\))

Overview

The halo model connects dark matter halos to observable galaxies through:

1. Halo Mass Function: \(\phi(M)\) - abundance of halos

2. Halo Clustering: \(\xi_{hh}(r, M)\) - spatial distribution

3. HOD: Occupation of galaxies within halos

4. Galaxy Clustering: \(\xi_{gg}(r)\) - observable correlation function

Coming soon: More detailed content for this tutorial.