@InProceedings{chapuy_et_al:LIPIcs.AofA.2022.6, author = {Chapuy, Guillaume and Louf, Baptiste and Walsh, Harriet}, title = {{Random Partitions Under the Plancherel-Hurwitz Measure, High Genus Hurwitz Numbers and Maps}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {6:1--6:12}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.6}, URN = {urn:nbn:de:0030-drops-160921}, doi = {10.4230/LIPIcs.AofA.2022.6}, annote = {Keywords: Random partitions, limit shapes, transposition factorisations, map enumeration, Hurwitz numbers, RSK algorithm, giant components} }