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Rappaport has been noted by Roger Ebert, Jonathan Rosenbaum, Ray Carney, J. Hoberman, Dave Kehr, and Stuart Klawans. Ray Carney considers him the greatest contemporary American film director. In May 2012, Rappaport filed a lawsuit against Carney for refusing to return digital masters of Rappaport's movies which the filmmaker had previously entrusted to Carney to transport to Paris. The suit was later dropped due to rising legal costs, and Rappaport started an online petition demanding that Carney return the masters.