Marked Length Spectral determination of analytic chaotic billiards with axial symmetries De Simoi, Jacopo Kaloshin, Vadim ; https://orcid.org/0000-0002-6051-2628 Leguil, Martin We consider billiards obtained by removing from the plane finitely many strictly convex analytic obstacles satisfying the non-eclipse condition. The restriction of the dynamics to the set of non-escaping orbits is conjugated to a subshift, which provides a natural labeling of periodic orbits. We show that under suitable symmetry and genericity assumptions, the Marked Length Spectrum determines the geometry of the billiard table. Springer Nature 2023 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/12877 De Simoi J, Kaloshin V, Leguil M. Marked Length Spectral determination of analytic chaotic billiards with axial symmetries. <i>Inventiones Mathematicae</i>. 2023;233:829-901. doi:<a href="https://doi.org/10.1007/s00222-023-01191-8">10.1007/s00222-023-01191-8</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s00222-023-01191-8 info:eu-repo/semantics/altIdentifier/issn/0020-9910 info:eu-repo/semantics/altIdentifier/e-issn/1432-1297 info:eu-repo/semantics/altIdentifier/wos/000978887600001 info:eu-repo/semantics/altIdentifier/arxiv/1905.00890 info:eu-repo/semantics/openAccess