@InProceedings{banderier_et_al:LIPIcs.AofA.2024.7, author = {Banderier, Cyril and Kuba, Markus and Wagner, Stephan and Wallner, Michael}, title = {{Composition Schemes: q-Enumerations and Phase Transitions in Gibbs Models}}, booktitle = {35th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2024)}, pages = {7:1--7:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-329-4}, ISSN = {1868-8969}, year = {2024}, volume = {302}, editor = {Mailler, C\'{e}cile and Wild, Sebastian}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2024.7}, URN = {urn:nbn:de:0030-drops-204427}, doi = {10.4230/LIPIcs.AofA.2024.7}, annote = {Keywords: Composition schemes, q-enumeration, generating functions, Gibbs distribution, phase transitions, limit laws, Mittag-Leffler distribution, chi distribution, Boltzmann distribution} }