[{"acknowledgement":"Open access funding provided by the Austrian Science Fund (FWF). This research was supported by the FWF grant, Project number I4245-N35, and by the Deutsche Forschungsgemeinschaft (DFG - German Research Foundation) - Project-ID 195170736 - TRR109.","department":[{"_id":"HeEd"}],"has_accepted_license":"1","doi":"10.1007/s00454-023-00484-2","language":[{"iso":"eng"}],"day":"01","oa_version":"Published Version","type":"journal_article","date_updated":"2023-10-04T11:46:48Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","publication_identifier":{"issn":["0179-5376"],"eissn":["1432-0444"]},"page":"123-153","external_id":{"isi":["000948148000001"]},"file":[{"success":1,"date_updated":"2023-10-04T11:46:24Z","file_id":"14396","checksum":"cdbf90ba4a7ddcb190d37b9e9d4cb9d3","file_name":"2023_DiscreteGeometry_Kourimska.pdf","access_level":"open_access","relation":"main_file","date_created":"2023-10-04T11:46:24Z","content_type":"application/pdf","creator":"dernst","file_size":1026683}],"date_published":"2023-07-01T00:00:00Z","abstract":[{"text":"We study a new discretization of the Gaussian curvature for polyhedral surfaces. This discrete Gaussian curvature is defined on each conical singularity of a polyhedral surface as the quotient of the angle defect and the area of the Voronoi cell corresponding to the singularity. We divide polyhedral surfaces into discrete conformal classes using a generalization of discrete conformal equivalence pioneered by Feng Luo. We subsequently show that, in every discrete conformal class, there exists a polyhedral surface with constant discrete Gaussian curvature. We also provide explicit examples to demonstrate that this surface is in general not unique.","lang":"eng"}],"publication_status":"published","project":[{"_id":"26AD5D90-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Algebraic Footprints of Geometric Features in Homology","grant_number":"I04245"}],"_id":"12764","oa":1,"ddc":["510"],"title":"Discrete yamabe problem for polyhedral surfaces","publication":"Discrete and Computational Geometry","year":"2023","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"quality_controlled":"1","author":[{"first_name":"Hana","last_name":"Kourimska","id":"D9B8E14C-3C26-11EA-98F5-1F833DDC885E","orcid":"0000-0001-7841-0091","full_name":"Kourimska, Hana"}],"citation":{"apa":"Kourimska, H. (2023). Discrete yamabe problem for polyhedral surfaces. <i>Discrete and Computational Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00454-023-00484-2\">https://doi.org/10.1007/s00454-023-00484-2</a>","mla":"Kourimska, Hana. “Discrete Yamabe Problem for Polyhedral Surfaces.” <i>Discrete and Computational Geometry</i>, vol. 70, Springer Nature, 2023, pp. 123–53, doi:<a href=\"https://doi.org/10.1007/s00454-023-00484-2\">10.1007/s00454-023-00484-2</a>.","short":"H. Kourimska, Discrete and Computational Geometry 70 (2023) 123–153.","chicago":"Kourimska, Hana. “Discrete Yamabe Problem for Polyhedral Surfaces.” <i>Discrete and Computational Geometry</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00454-023-00484-2\">https://doi.org/10.1007/s00454-023-00484-2</a>.","ista":"Kourimska H. 2023. Discrete yamabe problem for polyhedral surfaces. Discrete and Computational Geometry. 70, 123–153.","ama":"Kourimska H. Discrete yamabe problem for polyhedral surfaces. <i>Discrete and Computational Geometry</i>. 2023;70:123-153. doi:<a href=\"https://doi.org/10.1007/s00454-023-00484-2\">10.1007/s00454-023-00484-2</a>","ieee":"H. Kourimska, “Discrete yamabe problem for polyhedral surfaces,” <i>Discrete and Computational Geometry</i>, vol. 70. Springer Nature, pp. 123–153, 2023."},"status":"public","month":"07","date_created":"2023-03-26T22:01:09Z","isi":1,"intvolume":"        70","article_type":"original","publisher":"Springer Nature","file_date_updated":"2023-10-04T11:46:24Z","volume":70},{"publication_status":"published","publication":"Notices of the American Mathematical Society","title":"How to tutorial-a-thon","oa":1,"_id":"10071","year":"2021","citation":{"short":"H. Adams, H. Kourimska, T. Heiss, S. Percival, L. Ziegelmeier, Notices of the American Mathematical Society 68 (2021) 1511–1514.","chicago":"Adams, Henry, Hana Kourimska, Teresa Heiss, Sarah Percival, and Lori Ziegelmeier. “How to Tutorial-a-Thon.” <i>Notices of the American Mathematical Society</i>. American Mathematical Society, 2021. <a href=\"https://doi.org/10.1090/noti2349\">https://doi.org/10.1090/noti2349</a>.","ista":"Adams H, Kourimska H, Heiss T, Percival S, Ziegelmeier L. 2021. How to tutorial-a-thon. Notices of the American Mathematical Society. 68(9), 1511–1514.","ama":"Adams H, Kourimska H, Heiss T, Percival S, Ziegelmeier L. How to tutorial-a-thon. <i>Notices of the American Mathematical Society</i>. 2021;68(9):1511-1514. doi:<a href=\"https://doi.org/10.1090/noti2349\">10.1090/noti2349</a>","ieee":"H. Adams, H. Kourimska, T. Heiss, S. Percival, and L. Ziegelmeier, “How to tutorial-a-thon,” <i>Notices of the American Mathematical Society</i>, vol. 68, no. 9. American Mathematical Society, pp. 1511–1514, 2021.","mla":"Adams, Henry, et al. “How to Tutorial-a-Thon.” <i>Notices of the American Mathematical Society</i>, vol. 68, no. 9, American Mathematical Society, 2021, pp. 1511–14, doi:<a href=\"https://doi.org/10.1090/noti2349\">10.1090/noti2349</a>.","apa":"Adams, H., Kourimska, H., Heiss, T., Percival, S., &#38; Ziegelmeier, L. (2021). How to tutorial-a-thon. <i>Notices of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/noti2349\">https://doi.org/10.1090/noti2349</a>"},"main_file_link":[{"open_access":"1","url":"http://www.ams.org/notices/"}],"quality_controlled":"1","author":[{"last_name":"Adams","first_name":"Henry","full_name":"Adams, Henry"},{"full_name":"Kourimska, Hana","id":"D9B8E14C-3C26-11EA-98F5-1F833DDC885E","first_name":"Hana","last_name":"Kourimska"},{"last_name":"Heiss","first_name":"Teresa","id":"4879BB4E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1780-2689","full_name":"Heiss, Teresa"},{"first_name":"Sarah","last_name":"Percival","full_name":"Percival, Sarah"},{"full_name":"Ziegelmeier, Lori","last_name":"Ziegelmeier","first_name":"Lori"}],"date_created":"2021-10-03T22:01:22Z","month":"10","status":"public","intvolume":"        68","article_type":"letter_note","publisher":"American Mathematical Society","issue":"9","volume":68,"language":[{"iso":"eng"}],"doi":"10.1090/noti2349","department":[{"_id":"HeEd"}],"type":"journal_article","date_updated":"2021-12-03T07:31:26Z","oa_version":"Published Version","day":"01","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","article_processing_charge":"No","alternative_title":["Early Career"],"publication_identifier":{"eissn":["1088-9477"],"issn":["0002-9920"]},"scopus_import":"1","date_published":"2021-10-01T00:00:00Z","page":"1511-1514"}]