{"author":[{"last_name":"Betea","first_name":"Dan","full_name":"Betea, Dan"},{"last_name":"Bouttier","full_name":"Bouttier, Jérémie","first_name":"Jérémie"},{"full_name":"Nejjar, Peter","first_name":"Peter","last_name":"Nejjar","id":"4BF426E2-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Vuletíc, Mirjana","first_name":"Mirjana","last_name":"Vuletíc"}],"type":"conference","project":[{"call_identifier":"FP7","grant_number":"338804","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","name":"Random matrices, universality and disordered quantum systems"},{"grant_number":"716117","call_identifier":"H2020","_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics"}],"publisher":"Formal Power Series and Algebraic Combinatorics","status":"public","department":[{"_id":"LaEr"}],"publication":"Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics","article_processing_charge":"No","conference":{"start_date":"2019-07-01","location":"Ljubljana, Slovenia","end_date":"2019-07-05","name":"FPSAC: International Conference on Formal Power Series and Algebraic Combinatorics"},"quality_controlled":"1","oa_version":"Preprint","ec_funded":1,"title":"New edge asymptotics of skew Young diagrams via free boundaries","date_created":"2020-07-26T22:01:04Z","day":"01","date_updated":"2021-01-12T08:17:18Z","acknowledgement":"D.B. is especially grateful to Patrik Ferrari for suggesting simplifications in Section 3 and\r\nto Alessandra Occelli for suggesting the name for the models of Section 2.\r\n","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["1902.08750"]},"language":[{"iso":"eng"}],"month":"07","abstract":[{"lang":"eng","text":"We study edge asymptotics of poissonized Plancherel-type measures on skew Young diagrams (integer partitions). These measures can be seen as generalizations of those studied by Baik--Deift--Johansson and Baik--Rains in resolving Ulam's problem on longest increasing subsequences of random permutations and the last passage percolation (corner growth) discrete versions thereof. Moreover they interpolate between said measures and the uniform measure on partitions. In the new KPZ-like 1/3 exponent edge scaling limit with logarithmic corrections, we find new probability distributions generalizing the classical Tracy--Widom GUE, GOE and GSE distributions from the theory of random matrices."}],"citation":{"mla":"Betea, Dan, et al. “New Edge Asymptotics of Skew Young Diagrams via Free Boundaries.” <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>, 34, Formal Power Series and Algebraic Combinatorics, 2019.","apa":"Betea, D., Bouttier, J., Nejjar, P., &#38; Vuletíc, M. (2019). New edge asymptotics of skew Young diagrams via free boundaries. In <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>. Ljubljana, Slovenia: Formal Power Series and Algebraic Combinatorics.","ama":"Betea D, Bouttier J, Nejjar P, Vuletíc M. New edge asymptotics of skew Young diagrams via free boundaries. In: <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>. Formal Power Series and Algebraic Combinatorics; 2019.","ieee":"D. Betea, J. Bouttier, P. Nejjar, and M. Vuletíc, “New edge asymptotics of skew Young diagrams via free boundaries,” in <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>, Ljubljana, Slovenia, 2019.","ista":"Betea D, Bouttier J, Nejjar P, Vuletíc M. 2019. New edge asymptotics of skew Young diagrams via free boundaries. Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics. FPSAC: International Conference on Formal Power Series and Algebraic Combinatorics, 34.","chicago":"Betea, Dan, Jérémie Bouttier, Peter Nejjar, and Mirjana Vuletíc. “New Edge Asymptotics of Skew Young Diagrams via Free Boundaries.” In <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>. Formal Power Series and Algebraic Combinatorics, 2019.","short":"D. Betea, J. Bouttier, P. Nejjar, M. Vuletíc, in:, Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics, Formal Power Series and Algebraic Combinatorics, 2019."},"article_number":"34","scopus_import":"1","oa":1,"year":"2019","date_published":"2019-07-01T00:00:00Z","_id":"8175","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1902.08750"}],"publication_status":"published"}