Existence of non trivial embeddings of interval exchange transformations into piecewise isometries
| dc.contributor.author | Peres, Pedro | |
| dc.contributor.author | Rodrigues, Ana | |
| dc.date.accessioned | 2025-03-20T18:38:59Z | |
| dc.date.available | 2025-03-20T18:38:59Z | |
| dc.date.issued | 2025-02-24 | |
| dc.description.abstract | We prove that almost every interval exchange transformation, with an associated translation surface of genus 𝑔≥2 , can be non-trivially and isometrically embedded in a family of piecewise isometries. In particular, this proves the existence of invariant curves for piecewise isometries, reminiscent of Kolmogorov–Arnold–Moser (KAM) curves for area-preserving maps, which are not unions of circle arcs or line segments. | por |
| dc.identifier.authoremail | nd | |
| dc.identifier.authoremail | ana.margarida.rodrigues@uevora.pt | |
| dc.identifier.doi | doi:10.1017/etds.2024.53 | por |
| dc.identifier.scientificarea | 721 | por |
| dc.identifier.sharewith | CIMA | por |
| dc.identifier.uri | https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/abs/existence-of-nontrivial-embeddings-of-interval-exchange-transformations-into-piecewise-isometries | |
| dc.identifier.uri | http://hdl.handle.net/10174/38260 | |
| dc.language.iso | por | por |
| dc.peerreviewed | no | por |
| dc.publisher | Ergodic Theory and Dynamical Systems, Cambridge University Press | por |
| dc.rights | restrictedAccess | por |
| dc.title | Existence of non trivial embeddings of interval exchange transformations into piecewise isometries | por |
| dc.type | article | por |