[{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Convex fair partitions into arbitrary number of pieces","project":[{"grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics"}],"month":"09","page":"11","date_created":"2018-12-11T11:44:30Z","year":"2018","author":[{"full_name":"Akopyan, Arseniy","id":"430D2C90-F248-11E8-B48F-1D18A9856A87","first_name":"Arseniy","last_name":"Akopyan"},{"full_name":"Avvakumov, Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","last_name":"Avvakumov","first_name":"Sergey"},{"full_name":"Karasev, Roman","first_name":"Roman","last_name":"Karasev"}],"_version":10,"creator":{"login":"dernst","id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},"date_published":"2018-09-13T00:00:00Z","oa":1,"oa_version":"Preprint","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1804.03057"}],"language":[{"iso":"eng"}],"type":"preprint","publication_status":"published","publication":"ArXiv","external_id":{"arxiv":["1804.03057"]},"department":[{"tree":[{"_id":"ResearchGroups"},{"_id":"IST"}],"_id":"HeEd"},{"_id":"JaMa","tree":[{"_id":"ResearchGroups"},{"_id":"IST"}]}],"abstract":[{"text":"We prove that any convex body in the plane can be partitioned into m convex parts of equal areas and perimeters for any integer m≥2; this result was previously known for prime powers m=pk. We also give a higher-dimensional generalization.","lang":"eng"}],"publisher":"ArXiv","citation":{"ama":"Akopyan A, Avvakumov S, Karasev R. Convex fair partitions into arbitrary number of pieces. <i>ArXiv</i>. 2018.","ista":"Akopyan A, Avvakumov S, Karasev R. 2018. Convex fair partitions into arbitrary number of pieces. ArXiv.","mla":"Akopyan, Arseniy, et al. “Convex Fair Partitions into Arbitrary Number of Pieces.” <i>ArXiv</i>, ArXiv, 2018.","ieee":"A. Akopyan, S. Avvakumov, and R. Karasev, “Convex fair partitions into arbitrary number of pieces,” <i>ArXiv</i>. ArXiv, 2018.","chicago":"Akopyan, Arseniy, Sergey Avvakumov, and Roman Karasev. “Convex Fair Partitions into Arbitrary Number of Pieces.” <i>ArXiv</i>. ArXiv, 2018.","apa":"Akopyan, A., Avvakumov, S., &#38; Karasev, R. (2018). Convex fair partitions into arbitrary number of pieces. <i>ArXiv</i>. ArXiv.","short":"A. Akopyan, S. Avvakumov, R. Karasev, ArXiv (2018)."},"day":"13","_id":"75","date_updated":"2019-08-02T12:39:30Z","status":"public"}]