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THE KRONECKER–WEYL EQUIDISTRIBUTION THEOREM AND GEODESICS IN 3-MANIFOLDS – RETRACTION

Published online by Cambridge University Press:  17 June 2022

J. BECK  and
W. W. L. CHEN
J. BECK
Affiliation:
Department of Mathematics, Hill Center for the Mathematical Sciences, Rutgers University, Piscataway, NJ08854, USA e-mail: jbeck@math.rutgers.edu
W. W. L. CHEN
Affiliation:
Department of Mathematics and Statistics, Macquarie University, Sydney, NSW2109, Australia e-mail: william.chen@mq.edu.au
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Abstract

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Type
Retraction
Information
Journal of the Australian Mathematical Society , Volume 113 , Issue 2 , October 2022 , pp. 288
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

The editor for the Journal of the Australian Mathematical Society has retracted the article ‘The Kronecker–Weyl equidistribution theorem and geodesics in 3-manifolds’ after a request to do so from the authors [Reference Beck and Chen1], who brought to the attention of the editor and publisher that this paper depends on a result of another paper [Reference Beck, Chen and Yang2] in which a fatal error has since been found.

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References

Beck, J. and Chen, W.,‘The Kronecker–Weyl equidistribution theorem and geodesics in 3-manifolds’, J. Aust. Math. Soc. Published online (21 March 2022).Google Scholar
Beck, J., Chen, W. W. L. and Yang, Y., ‘Quantitative behavior of non-integrable systems. III’, Acta Math. Hungar., 166(2) (2022), 254–372.CrossRefGoogle Scholar