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arXiv · 2609.14851

Renormalization and rigidity of analytic non-linear interval exchange transformations

Nataliya Goncharuk·Igors Gorbovickis·Michael Yampolsky
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Abstract

We construct hyperbolic renormalization horseshoes for analytic generalized interval exchange transformations (GIETs) of bounded type and with bounded geometry, provided their boundaries are small (but not necessarily zero). As a consequence, we describe the manifold structure of smooth conjugacy classes of GIETs.

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Nataliya Goncharuk, Igors Gorbovickis, Michael Yampolsky. 2026-09-13. Renormalization and rigidity of analytic non-linear interval exchange transformations. https://arxiv.org/abs/2609.14851

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