Journal of Siberian Federal University. Mathematics & Physics / A Sufficient Condition for Absolute Continuity of Conjugations between Interval Exchange Maps

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (3)
Authors
Begmatov, Abdumajid S.
Contact information
Begmatov, Abdumajid S.: National University of Uzbekistan University street 4, Olmazor district, Tashkent, 100174 Turin Polytechnic University in Tashkent Niyazov Str. 17, Tashkent, 100095 Uzbekistan;
Keywords
conjugate map; interval exchange map; Rauzy-Veech induction; renormalization; dynamical partition; martingale
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

Pages
276–284
DOI
10.17516/1997-1397-2019-12-3-276-284
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/110228