%0 Journal Article %T Transit Timing Observations from Kepler: III. Confirmation of 4 Multiple Planet Systems by a Fourier-Domain Study of Anti-correlated Transit Timing Variations %A Jason H. Steffen %A Daniel C. Fabrycky %A Eric B. Ford %A Joshua A. Carter %A Jean-Michel Desert %A Francois Fressin %A Matthew J. Holman %A Jack J. Lissauer %A Althea V. Moorhead %A Jason F. Rowe %A Darin Ragozzine %A William F. Welsh %A Natalie M. Batalha %A William J. Borucki %A Lars A. Buchhave %A Steve Bryson %A Douglas A. Caldwell %A David Charbonneau %A David R. Ciardi %A William D. Cochran %A Michael Endl %A Mark E. Everett %A Thomas N. Gautier III %A Ron L. Gilliland %A Forrest R. Girouard %A Jon M. Jenkins %A Elliott Horch %A Steve B. Howell %A Howard Isaacson %A Todd C. Klaus %A David G. Koch %A David W. Latham %A Jie Li %A Philip Lucas %A Phillip J. MacQueen %A Geoffrey W. Marcy %A Sean McCauliff %A Christopher K. Middour %A Robert L. Morris %A Fergal R. Mullally %A Samuel N. Quinn %A Elisa V. Quintana %A Avi Shporer %A Martin Still %A Peter Tenenbaum %A Susan E. Thompson %A Joseph D. Twicken %A Jeffery Van Cleve %J Physics %D 2012 %I arXiv %R 10.1111/j.1365-2966.2012.20467.x %X We present a method to confirm the planetary nature of objects in systems with multiple transiting exoplanet candidates. This method involves a Fourier-Domain analysis of the deviations in the transit times from a constant period that result from dynamical interactions within the system. The combination of observed anti-correlations in the transit times and mass constraints from dynamical stability allow us to claim the discovery of four planetary systems Kepler-25, Kepler-26, Kepler-27, and Kepler-28, containing eight planets and one additional planet candidate. %U http://arxiv.org/abs/1201.5412v1