Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Saratov Univ. Math. Mech. Inform.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2015, Volume 15, Issue 2, Pages 160–167
DOI: https://doi.org/10.18500/1816-9791-2015-15-2-160-167 (Mi isu577) 		 
Mathematics

Asymptotic ratio of harmonic measures of slit sides

D. V. Prokhorov, D. V. Ukrainskii

Saratov State University, 83, Astrakhanskaya st., 410012, Saratov, Russia
Full-text PDF (181 kB)
References:
PDF
HTML
DOI: https://doi.org/10.18500/1816-9791-2015-15-2-160-167
Abstract: The article is devoted to the geometry of solutions to the chordal Löwner equation which is based on the comparison of singular solutions and harmonic measures for the sides of a slit in the upper half-plane generated by a driving term. An asymptotic ratio for harmonic measures of slit sides is found for a slit which is tangential to a straight line under a given angle, and for a slit with high order tangency to a circular arc tangential to the real axis.
Key words: Löwner equation, singular solution, harmonic measure, half-plane capacity.
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: English
Citation: D. V. Prokhorov, D. V. Ukrainskii, “Asymptotic ratio of harmonic measures of slit sides”, Izv. Saratov Univ. Math. Mech. Inform., 15:2 (2015), 160–167
Citation in format AMSBIB
\Bibitem{ProUkr15}
\by D.~V.~Prokhorov, D.~V.~Ukrainskii
\paper Asymptotic ratio of harmonic measures of slit sides
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2015
\vol 15
\issue 2
\pages 160--167
\mathnet{http://mi.mathnet.ru/isu577}
\crossref{https://doi.org/10.18500/1816-9791-2015-15-2-160-167}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000439743100005}
\elib{https://elibrary.ru/item.asp?id=23647132}
Linking options:
  • https://www.mathnet.ru/eng/isu577
  • https://www.mathnet.ru/eng/isu/v15/i2/p160
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
    Statistics & downloads:
    Abstract page:302
    Full-text PDF :97
    References:56
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024