@InProceedings{alonso_et_al:LIPIcs.SoCG.2024.6, author = {Alonso, \'{A}ngel Javier and Kerber, Michael and Skraba, Primoz}, title = {{Probabilistic Analysis of Multiparameter Persistence Decompositions into Intervals}}, booktitle = {40th International Symposium on Computational Geometry (SoCG 2024)}, pages = {6:1--6:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-316-4}, ISSN = {1868-8969}, year = {2024}, volume = {293}, editor = {Mulzer, Wolfgang and Phillips, Jeff M.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2024.6}, URN = {urn:nbn:de:0030-drops-199510}, doi = {10.4230/LIPIcs.SoCG.2024.6}, annote = {Keywords: Topological Data Analysis, Multi-Parameter Persistence, Decomposition of persistence modules, Poisson point processes} }