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Expansiveness, specification, and equilibrium states for random bundle transformations
Construction of weakly mixing diffeomorphisms preserving measurable Riemannian metric and smooth measure
1.  Department of Mathematics, Pennsylvania State University, University Park, PA 16802, United States 
2.  Department of Mathematics, Penn State University, University Park, State College, PA 16802, United States 
It is shown in the appendix that a Riemannian metric preserved by a weakly mixing diffeomorphism can not be square integrable.
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