@InProceedings{fuchs_et_al:LIPIcs.AofA.2018.23, author = {Fuchs, Michael and M\"{u}ller, Noela S. and Sulzbach, Henning}, title = {{Refined Asymptotics for the Number of Leaves of Random Point Quadtrees}}, booktitle = {29th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2018)}, pages = {23:1--23:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-078-1}, ISSN = {1868-8969}, year = {2018}, volume = {110}, editor = {Fill, James Allen and 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.2018.23}, URN = {urn:nbn:de:0030-drops-89165}, doi = {10.4230/LIPIcs.AofA.2018.23}, annote = {Keywords: Quadtree, number of leaves, phase change, stochastic fixed-point equation, central limit theorem, positivity of variance, contraction method} }