Here is an article from last October for anyone interested.
Mike Willman of Trackside Review reported from Santa Anita Park the following shoot schedule for 2011 and provides information on who is directing. Episode three is said to be directed by Phillip Noyce (who recently shot "Salt").
ARCADIA, Calif. — Production on the pilot and first two episodes of Home Box Office’s (HBO) highly anticipated series, “Luck,” has been nearly completed and production and shooting for episode Three will resume at Santa Anita on Jan. 10.
“Luck,” which stars several “A List” actors, including Dustin Hoffman, is the brainchild of world renowned writer/producer David Milch, and is being shot in large-part at Santa Anita.
“Their production crew completed two weeks of work on and around the racetrack last week,” said Santa Anita Community and Special Events Coordinator Pete Siberell. “The pilot was completed several months ago and this will enable them to finish their work on the first two episodes.”
Full article here