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Numerical investigation of a class of inhomogeneous cosmological spacetimesshows evidence that at a generic point in space the evolution toward theinitial singularity is asymptotically that of a spatially homogeneous spacetimewith Mixmaster behavior. This supports a long-standing conjecture due toBelinskii et al. on the nature of the generic singularity in Einstein'sequations.Comment: 4 pages plus 4 figures. A sentence has been deleted. Accepted for  publication in PR

Mixmaster Behavior in Inhomogeneous Cosmological Spacetimes