{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/certifying-anosov-representations","title":"Certifying Anosov representations","arxiv_id":"2409.08015","date":"2024-09-12","proceeding":null,"authors":["J. Maxwell Riestenberg"],"abstract":"By providing new finite criteria which certify that a finitely generated subgroup of $\\mathrm{SL}(d,\\mathbb{R})$ or $\\mathrm{SL}(d,\\mathbb{C})$ is projective Anosov, we obtain a practical algorithm to verify the Anosov condition. We demonstrate on a surface group of genus 2 in $\\mathrm{SL}(3,\\mathbb{R})$ by verifying the criteria for all words of length 8. The previous version required checking all words of length $2$ million.","url_abs":"https://arxiv.org/abs/2409.08015v1","url_pdf":"https://arxiv.org/pdf/2409.08015v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"certifying-anosov-representations","repo_url":"https://github.com/tjweisman/anosov_check","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null},{"paper_slug":"certifying-anosov-representations","repo_url":"https://github.com/maxriestenberg/klp-algorithm","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}