@InProceedings{berthe_et_al:LIPIcs.AofA.2020.4, author = {Berth\'{e}, Val\'{e}rie and Cesaratto, Eda and Paccaut, Fr\'{e}d\'{e}ric and Rotondo, Pablo and Safe, Mart{\'\i}n D. and Vall\'{e}e, Brigitte}, title = {{Two Arithmetical Sources and Their Associated Tries}}, booktitle = {31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020)}, pages = {4:1--4:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-147-4}, ISSN = {1868-8969}, year = {2020}, volume = {159}, editor = {Drmota, Michael and Heuberger, Clemens}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2020.4}, URN = {urn:nbn:de:0030-drops-120345}, doi = {10.4230/LIPIcs.AofA.2020.4}, annote = {Keywords: Combinatorics of words, Information Theory, Probabilistic analysis, Analytic combinatorics, Dirichlet generating functions, Sources, Partitions, Trie structure, Continued fraction expansion, Farey map, Sturm words, Transfer operator} }