Absolutely Continuous Invariant Measures for a Class of Affine Interval Exchange Maps

DOI10.2307/2161104zbMath0848.58017OpenAlexW4250779013MaRDI QIDQ4874213

Zaqueu Coelho, Luiz Fernando C. da Rocha, Artur Oscar Lopes

Publication date: 27 October 1996

Full work available at URL: https://doi.org/10.2307/2161104

zbMATH Keywords

invariant measurerenormalizationcircle map

Mathematics Subject Classification ID

Ergodic theory (37A99) Low-dimensional dynamical systems (37E99)

Related Items (13)

Differentiation of induced toric tiling and multidimensional approximations of algebraic numbers ⋮ Periodic karyon expansions of cubic irrationals in continued fractions ⋮ A remark on Denjoy's inequality for PL circle homeomorphisms with two break points ⋮ Periodic karyon expansions of algebraic units in multidimensional continued fractions ⋮ Karyon expansions of Pisot numbers in multidimensional continued fractions ⋮ Wandering sets for a class of Borel isomorphisms of \([0,1)\) ⋮ On discrete stochastic processes generated by deterministic sequences and multiplication machines ⋮ Unimodularity of induced toric tilings ⋮ Unimodular invariance of karyon expansions of algebraic numbers in multidimensional continued fractions ⋮ Rotation number, invariant measures and ratio set of PL homeomorphisms of the circle. ⋮ Periodicity in the transient regime of exhaustive polling systems ⋮ An Extention of Herman’s Theorem for Nonlinear Circle Maps with Two Breaks ⋮ Mixing properties of (α,β)-expansions

Cites Work

• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Échanges d'intervalles et transformations induites
• Dense Orbits of Rationals
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