To-do list in New York City for WTA players at 2011 U.S. Open

What do Petra Kvitova, Caroline Wozniacki, Maria Sharapova, Victoria Azarenka, Marion Bartoli, Vera Zvonareva, Li Na, Sam Stosur & Francesca Schiavone do when they visit the city that never sleeps? A lot of eating and shopping.