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math.DS2026
Renormalization and rigidity of analytic non-linear interval exchange transformations
Nataliya Goncharuk, Igors Gorbovickis, Michael Yampolsky
We construct hyperbolic renormalization horseshoes for analytic generalized interval exchange transformations (GIETs) of bounded type and with bounded geometry, provided their boun…
math.DS2026
Hyperbolicity of renormalization for maps with multiple breaks
Nataliya Goncharuk, Igors Gorbovickis, Michael Yampolsky
We construct hyperbolic horseshoes for piecewise-analytic homeomorphisms of the circle with {\it multiple} break-type singularities, under the assumptions of bounded type rotation…