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Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 3, Pages 276–284
DOI: https://doi.org/10.17516/1997-1397-2019-12-3-276-284 (Mi jsfu755) 		 
A sufficient condition for absolute continuity of conjugations between interval exchange maps

Abdumajid S. Begmatovab

a National University of Uzbekistan, University street 4, Olmazor district, Tashkent, 100174, Uzbekistan
b Turin Polytechnic University in Tashkent, Niyazov Str. 17, Tashkent, 100095, Uzbekistan
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DOI: https://doi.org/10.17516/1997-1397-2019-12-3-276-284
Abstract: A class of topological equivalent generalized interval exchange maps of genus one and of the same bounded combinatorics is considered in the paper. A sufficient condition for absolute continuity of the conjugation between two maps from this class is provided.
Keywords: conjugate map, interval exchange map, Rauzy–Veech induction, renormalization, dynamical partition, martingale.
Received: 29.12.2018
Received in revised form: 11.01.2019
Accepted: 06.02.2019
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Abdumajid S. Begmatov, “A sufficient condition for absolute continuity of conjugations between interval exchange maps”, J. Sib. Fed. Univ. Math. Phys., 12:3 (2019), 276–284
Citation in format AMSBIB
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\by Abdumajid~S.~Begmatov
\paper A sufficient condition for absolute continuity of conjugations between interval exchange maps
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 3
\pages 276--284
\mathnet{http://mi.mathnet.ru/jsfu755}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-3-276-284}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000471028500002}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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