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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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On Nevanlinna domains with fractal boundaries
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by M. Ya. Mazalov
Translated by: A. Plotkin
St. Petersburg Math. J. 29 (2018), 777-791
DOI: https://doi.org/10.1090/spmj/1516
Published electronically: July 26, 2018
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Abstract:

A positive answer is given to the question on the existence of a Nevanlinna contour of Hausdorff dimension exceeding $1$, posed by K. Yu. Fedorovskiĭ in 2001. In particular, it is shown that this dimension may exceed $3/2$.
References
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Bibliographic Information
  • M. Ya. Mazalov
  • Affiliation: Smolensk branch, National Research University “Moscow Energy Institute”, Smolensk, Russia — and — Moscow N. E. Bauman State Technical university, Moscow, Russia
  • Email: maksimmazalov@yandex.ru
  • Received by editor(s): May 30, 2017
  • Published electronically: July 26, 2018
  • Additional Notes: Supported by Ministry of Education and Science of RF (project no. 1.3843.2017), by RFBR (project no. 16-01-00674), and by the Programme for support of the Leading Scientific Schools in RF (project no. SS-9110.2016.1).
  • © Copyright 2018 American Mathematical Society
  • Journal: St. Petersburg Math. J. 29 (2018), 777-791
  • MSC (2010): Primary 30C20
  • DOI: https://doi.org/10.1090/spmj/1516
  • MathSciNet review: 3724640