@InProceedings{carton_et_al:LIPIcs.MFCS.2022.28,
author = {Carton, Olivier and Dou\'{e}neau-Tabot, Ga\"{e}tan},
title = {{Continuous Rational Functions Are Deterministic Regular}},
booktitle = {47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022)},
pages = {28:1--28:13},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-256-3},
ISSN = {1868-8969},
year = {2022},
volume = {241},
editor = {Szeider, Stefan and Ganian, Robert and Silva, Alexandra},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2022.28},
URN = {urn:nbn:de:0030-drops-168268},
doi = {10.4230/LIPIcs.MFCS.2022.28},
annote = {Keywords: infinite words, rational functions, determinization, continuity, streaming string transducers, two-way transducers}
}