--- res: bibo_abstract: - 'We consider billiards obtained by removing three strictly convex obstacles satisfying the non-eclipse condition on the plane. The restriction of the dynamics to the set of non-escaping orbits is conjugated to a subshift on three symbols that provides a natural labeling of all periodic orbits. We study the following inverse problem: does the Marked Length Spectrum (i.e., the set of lengths of periodic orbits together with their labeling), determine the geometry of the billiard table? We show that from the Marked Length Spectrum it is possible to recover the curvature at periodic points of period two, as well as the Lyapunov exponent of each periodic orbit.@eng' bibo_authorlist: - foaf_Person: foaf_givenName: Péter foaf_name: Bálint, Péter foaf_surname: Bálint - foaf_Person: foaf_givenName: Jacopo foaf_name: De Simoi, Jacopo foaf_surname: De Simoi - foaf_Person: foaf_givenName: Vadim foaf_name: Kaloshin, Vadim foaf_surname: Kaloshin foaf_workInfoHomepage: http://www.librecat.org/personId=FE553552-CDE8-11E9-B324-C0EBE5697425 orcid: 0000-0002-6051-2628 - foaf_Person: foaf_givenName: Martin foaf_name: Leguil, Martin foaf_surname: Leguil bibo_doi: 10.1007/s00220-019-03448-x bibo_issue: '3' bibo_volume: 374 dct_date: 2019^xs_gYear dct_isPartOf: - http://id.crossref.org/issn/0010-3616 - http://id.crossref.org/issn/1432-0916 dct_language: eng dct_publisher: Springer Nature@ dct_subject: - Mathematical Physics - Statistical and Nonlinear Physics dct_title: Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards@ ...