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Journal of the London Mathematical Society 2001 64(3):637-654; doi:10.1112/S0024610701002447
© 2001 by London Mathematical Society
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© The London Mathematical Society

Partially Mixing and Locally Rank 1 Smooth Transformations and Flows on the Torus Td, d ≥ 3

Bassam R. Fayad

Department of Mathematics, Pennsylvania State University 215 McAllister Building, University Park, PA 16802, USA, fayadb{at}math.psu.edu

Received 19 May 2000. Revision received 19 March 2001.

The paper gives the first examples of C{infty} measure preserving flows and diffeomorphisms on the torus that are partially mixing and have a simple spectrum.


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