@InProceedings{balko_et_al:LIPIcs.SoCG.2020.14, author = {Balko, Martin and Scheucher, Manfred and Valtr, Pavel}, title = {{Holes and Islands in Random Point Sets}}, booktitle = {36th International Symposium on Computational Geometry (SoCG 2020)}, pages = {14:1--14:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-143-6}, ISSN = {1868-8969}, year = {2020}, volume = {164}, editor = {Cabello, Sergio and Chen, Danny Z.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2020.14}, URN = {urn:nbn:de:0030-drops-121722}, doi = {10.4230/LIPIcs.SoCG.2020.14}, annote = {Keywords: stochastic geometry, random point set, Erd\H{o}s-Szekeres type problem, k-hole, k-island, empty polytope, convex position, Horton set} }