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We model the luminosity-dependent projected two-point correlation function ofDEEP2 (z~1) and SDSS (z~0) galaxies within the Halo Occupation Distribution(HOD) framework. At both epochs, there is a tight correlation between centralgalaxy luminosity and halo mass, with the slope and scatter decreasing forlarger halo masses, and the fraction of satellite galaxies decreasing at higherluminosity. Central L* galaxies reside in halos a few times more massive at z~1than at z~0. We find little evolution in the relation between mass scales ofhost halos for central galaxies and satellite galaxies above the sameluminosity threshold. Combining these HOD results with theoretical predictionsof the typical growth of halos, we establish an evolutionary connection betweenthe galaxy populations at the two redshifts by linking z~0 central galaxies toz~1 central galaxies that reside in their progenitor halos, which enables us tostudy the evolution of galaxies as a function of halo mass. We find that thestellar mass growth of galaxies depends on halo mass. On average, the majorityof the stellar mass in central galaxies residing in z~0 low mass halos(~5x10^11 Msun/h) and only a small fraction of the stellar mass in centralgalaxies of high mass halos (~10^13 Msun/h) result from star formation betweenz~1 and z~0. In addition, the mass scale of halos where the star formationefficiency reaches a maximum is found to shift toward lower mass with time.Future work can combine HOD modeling of the clustering of galaxies at differentredshifts with the assembly history and dynamical evolution of dark matterhalos. This can lead to an understanding of the stellar mass growth due to bothmergers and star formation as a function of host halo mass and provide powerfultests of galaxy formation theories. (Abridged).Comment: 22 pages, 11 figures, minor changes to match the published versio

Galaxy Evolution from Halo Occupation Distribution Modeling of DEEP2 and SDSS Galaxy Clustering