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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

$\textrm {tan}\ x$ is ergodic
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by F. Schweiger PDF
Proc. Amer. Math. Soc. 71 (1978), 54-56 Request permission

Abstract:

It is proved that the transformation $x \mapsto \tan x$ is ergodic on the real line with respect to Lebesgue measure.
References
  • J. H. B. Kemperman, The ergodic behavior of a class of real transformations, Stochastic processes and related topics (Proc. Summer Res. Inst. Statist. Inference for Stochastic Processes, Indiana Univ., Bloomington, Ind., 1974, Vol. 1; dedicated to Jerzy Neyman), Academic Press, New York, 1975, pp. 249–258. MR 0372156
  • Fritz Schweiger, Some remarks on ergodicity and invariant measures, Michigan Math. J. 22 (1975), no. 2, 181–187. MR 376590
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 71 (1978), 54-56
  • MSC: Primary 28A65; Secondary 10K99
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0473144-4
  • MathSciNet review: 0473144