A Sufficient Condition for Absolute Continuity of Conjugations between Interval Exchange Maps

DOI10.17516/1997-1397-2019-12-3-276-284OpenAlexW2970500262MaRDI QIDQ5853388

Abdumajid Begmatov

Publication date: 18 March 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu755

zbMATH Keywords

renormalizationmartingaleRauzy-Veech inductioninterval exchange mapconjugate mapdynamical partition

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) General topology (54-XX)

Cites Work

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• Generic rigidity for circle diffeomorphisms with breaks
• Renormalization conjecture and rigidity theory for circle diffeomorphisms with breaks
• Methods of bifurcation theory in multiparameter problems of hydroaeroelasticity
• Linearization of generalized interval exchange maps
• Renormalization horseshoe and rigidity for circle diffeomorphisms with breaks
• Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture
• Rigidity for piecewise smooth homeomorphisms on the circle
• Renormalization for piecewise smooth homeomorphisms on the circle
• The cohomological equation for Roth-type interval exchange maps
• Interval exchange transformations

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