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DIMENSION-FREE UNIFORMITY WITH APPLICATIONS, I

  • József Beck (a1)

Abstract

We prove a dimension-free strong uniformity theorem, and apply it in the configuration space of a large system of non-interacting particles, to describe the fast approach to equilibrium starting from off-equilibrium, and its long-term stability.

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References

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1. Beck, J., From Khinchin’s conjecture on strong uniformity to superuniform motions. Mathematika 61 2015, 591707.
2. Drmota, M. and Tichy, R. F., Sequences, Discrepancies and Applications (Lecture Notes in Mathematics  1651 ), Springer (1997).
3. Feller, W., An Introduction to Probability Theory and its Applications, Vol. 1, 2nd edn, Wiley (1971).
4. Khinchin, A., Ein Satz über Kettenbrüche mit arithmetischen Anwendungen. Math. Z. 18 1923, 289306.
5. Marstrand, J. M., On Khinchin’s conjecture about strong uniform distribution. Proc. Lond. Math. Soc. (3) 21 1970, 540556.
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Mathematika
  • ISSN: 0025-5793
  • EISSN: 2041-7942
  • URL: /core/journals/mathematika
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