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On Baxter Type Theorems for Generalized Random Gaussian Fields

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Stochastic Processes and Applications (SPAS 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 271))

Abstract

Some type of Baxter sums for generalized random Gaussian fields are introduced in this work. Sufficient conditions of such a sum convergence to a non-random constant are obtained. As the examples, the behavior of Baxter sums for a class of generalized fields with independent values and for a field of fractional Brownian motion is considered.

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Author information

Authors and Affiliations

  1. Kyiv National University of Technology and Design, Kyiv, Ukraine

    Sergey Krasnitskiy

  2. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    Oleksandr Kurchenko

Authors
  1. Sergey Krasnitskiy
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  2. Oleksandr Kurchenko
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Corresponding author

Correspondence to Sergey Krasnitskiy .

Editor information

Editors and Affiliations

  1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Sergei Silvestrov

  2. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Anatoliy Malyarenko

  3. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Milica Rančić

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Krasnitskiy, S., Kurchenko, O. (2018). On Baxter Type Theorems for Generalized Random Gaussian Fields. In: Silvestrov, S., Malyarenko, A., Rančić, M. (eds) Stochastic Processes and Applications. SPAS 2017. Springer Proceedings in Mathematics & Statistics, vol 271. Springer, Cham. https://doi.org/10.1007/978-3-030-02825-1_4

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