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Asymptotic Analysis of Symmetric Functions

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Abstract

In this paper we consider asymptotic expansions for a class of sequences of symmetric functions of many variables. Applications to classical and free probability theory are discussed.

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Acknowledgments

We would like to thank the Associate Editor and the Reviewer for helpful comments and suggestions.

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Authors and Affiliations

  1. Faculty of Mathematics, Bielefeld University, 33615, Bielefeld, Germany

    F. Götze

  2. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia

    A. Naumov & V. Ulyanov

  3. Institute for Information Transmission Problems RAS, Moscow, 127051, Russia

    A. Naumov

  4. National Research University Higher School of Economics (HSE), Moscow, 101000, Russia

    V. Ulyanov

Authors
  1. F. Götze
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  2. A. Naumov
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  3. V. Ulyanov
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Corresponding author

Correspondence to A. Naumov.

Additional information

Dedicated to Professor Yuri Prokhorov on the occasion of his 85th birthday (15.12.1929–16.07.2013).

F. Götze was supported by CRC 701 “Spectral Structures and Topological Methods in Mathematics,” Bielefeld. A. Naumov and V. Ulyanov were supported by RSCF 14-11-00196.

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Götze, F., Naumov, A. & Ulyanov, V. Asymptotic Analysis of Symmetric Functions. J Theor Probab 30, 876–897 (2017). https://doi.org/10.1007/s10959-016-0679-3

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  • DOI: https://doi.org/10.1007/s10959-016-0679-3

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