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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Smorodinsky's conjecture on rank-one mixing


Author: Terrence M. Adams
Journal: Proc. Amer. Math. Soc. 126 (1998), 739-744
MSC (1991): Primary 28D05
DOI: https://doi.org/10.1090/S0002-9939-98-04082-9
MathSciNet review: 1443143
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Abstract: We prove Smorodinsky's conjecture: the rank-one transformation, obtained by adding staircases whose heights increase consecutively by one, is mixing.


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Additional Information

Terrence M. Adams
Affiliation: Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599-3250
Address at time of publication: Department of Mathematics, The Ohio State University, Columbus, Ohio 43210-1174
Email: tadams@math.unc.edu, tadams@math.ohio-state.edu

DOI: https://doi.org/10.1090/S0002-9939-98-04082-9
Keywords: Mixing, rank-1
Received by editor(s): August 20, 1996
Communicated by: Mary Rees
Article copyright: © Copyright 1998 American Mathematical Society