{"paper":{"title":"Dynamical rigidity of non discrete representations in PSL(2,R)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GT","authors_text":"Maxime Wolff","submitted_at":"2016-10-26T19:43:15Z","abstract_excerpt":"The aim of this note is to advertise on a result, not stated explicitly, but proved, in arXiv:0802.0512. Namely, if $\\Gamma$ is any group, if $\\rho_1$, $\\rho_2$ are representations of $\\Gamma$ in $\\mathrm{PSL}(2,\\mathbb{R})$, one of them being non elementary and non discrete, and if for all $\\gamma\\in\\Gamma$, $\\rho_1(\\gamma)$ and $\\rho_2(\\gamma)$ have the same rotation number, then $\\rho_1$ and $\\rho_2$ are conjugate in $\\mathrm{PSL}(2,\\mathbb{R})$. In particular, if two non discrete, non elementary representations yield semi-conjugate actions on the circle, then they are conjugate in $\\mathrm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08483","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}