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The law of the iterated logarithm for random interval homeomorphisms

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Abstract

A proof of the law of the iterated logarithm for random homeomorphisms of the interval is given.

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References

  1. K. Czudek and T. Szarek, Ergodicity and central limit theorem for random interval homeomorphisms, Israel Journal of Mathematics 239 (2020) 75–98.

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  2. S. Hille, K. Horbacz, T. Szarek and H. Wojewódka, Law of the iterated logarithm for some Markov operators, Asymptotic Analysis 97 (2016) 91–112.

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  3. O. Zhao and M. Woodroofe, Law of the iterated logarithm for stationary processes, Annals of Probability 36 (2008) 127–142.

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Acknowledgments

The authors wish to express their gratitude to an anonymous referee for thorough reading of the manuscript and valuable remarks.

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Authors and Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656, Warszawa, Poland

    Klaudiusz Czudek

  2. Faculty of Physics and Applied Mathematics, Gdańsk University of Technology, ul. Gabriela Narutowicza 11/12, 80-233, Gdańsk, Poland

    Tomasz Szarek

  3. Institute of Mathematics, University of Silesia in Katowice, Bankowa 14, 40-007, Katowice, Poland

    Hanna Wojewódka-Ściążko

  4. Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100, Gliwice, Poland

    Hanna Wojewódka-Ściążko

Authors
  1. Klaudiusz Czudek
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  2. Tomasz Szarek
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  3. Hanna Wojewódka-Ściążko
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Corresponding author

Correspondence to Tomasz Szarek.

Additional information

The research of Klaudiusz Czudek was supported by the Polish Ministry of Science and Higher Education “Diamond Grant” 0090/DIA/2017/46.

Tomasz Szarek was supported by the Polish NCN grant 2016/21/B/ST1/00033.

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Czudek, K., Szarek, T. & Wojewódka-Ściążko, H. The law of the iterated logarithm for random interval homeomorphisms. Isr. J. Math. 246, 47–53 (2021). https://doi.org/10.1007/s11856-021-2235-9

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  • DOI: https://doi.org/10.1007/s11856-021-2235-9

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