{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T01:44:39Z","timestamp":1776822279331,"version":"3.51.2"},"publisher-location":"Cham","reference-count":15,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783031975479","type":"print"},{"value":"9783031975486","type":"electronic"}],"license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025]]},"DOI":"10.1007\/978-3-031-97548-6_17","type":"book-chapter","created":{"date-parts":[[2025,6,29]],"date-time":"2025-06-29T10:48:55Z","timestamp":1751194135000},"page":"192-204","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["About $$\\Delta $$-Numeration"],"prefix":"10.1007","author":[{"given":"Bastien","family":"Laboureix","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eric","family":"Domenjoud","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,6,30]]},"reference":[{"key":"17_CR1","doi-asserted-by":"crossref","unstructured":"Arnoux, P.,\u00a0Starosta, S.: The rauzy gasket. In: Further Developments in Fractals and Related Fields: Mathematical Foundations and Connections. Springer (2013)","DOI":"10.1007\/978-0-8176-8400-6_1"},{"key":"17_CR2","doi-asserted-by":"crossref","unstructured":"Avila, A.,\u00a0Delecroix, V.: Some monoids of pisot matrices. In: New Trends in One-Dimensional Dynamics: IMPA 2016, Rio de Janeiro. Springer (2019)","DOI":"10.1007\/978-3-030-16833-9_3"},{"key":"17_CR3","unstructured":"Berth\u00e9, V.,\u00a0Domenjoud, E.,\u00a0Jamet, D.,\u00a0Proven\u00e7al, X.: Fully subtractive algorithm, tribonacci numeration and connectedness of discrete planes. RIMS Lecture notes \u2018Kokyuroku Bessatu\u2019 46, 159\u2013174 (2014)"},{"key":"17_CR4","doi-asserted-by":"crossref","unstructured":"Charlier, E.: Alternate base numeration systems. In: International Conference on Combinatorics on Words, pp. 14\u201334. Springer (2023)","DOI":"10.1007\/978-3-031-33180-0_2"},{"issue":"4","key":"17_CR5","doi-asserted-by":"publisher","first-page":"585","DOI":"10.1007\/s00605-021-01598-6","volume":"195","author":"E Charlier","year":"2021","unstructured":"Charlier, E., Cisternino, C.: Expansions in cantor real bases. Monatshefte f\u00fcr Mathematik 195(4), 585\u2013610 (2021)","journal-title":"Monatshefte f\u00fcr Mathematik"},{"key":"17_CR6","doi-asserted-by":"crossref","unstructured":"Domenjoud, E., Laboureix, B., Vuillon, L.: Facet connectedness of arithmetic discrete hyperplanes with non-zero shift. In: DGCI. Springer (2019)","DOI":"10.1007\/978-3-030-14085-4_4"},{"key":"17_CR7","doi-asserted-by":"crossref","unstructured":"Domenjoud, E., Proven\u00e7al, X., Vuillon, L.: Facet connectedness of discrete hyperplanes with zero intercept: the general case. In: DGCI. Springer (2014)","DOI":"10.1007\/978-3-319-09955-2_1"},{"key":"17_CR8","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/j.tcs.2015.11.023","volume":"624","author":"E Domenjoud","year":"2016","unstructured":"Domenjoud, E., Proven\u00e7al, X., Vuillon, L.: Palindromic language of thin discrete planes. Theoret. Comput. Sci. 624, 101\u2013108 (2016)","journal-title":"Theoret. Comput. Sci."},{"issue":"2","key":"17_CR9","first-page":"109","volume":"7","author":"E Domenjoud","year":"2012","unstructured":"Domenjoud, E., Vuillon, L.: Geometric palindromic closure. Uniform Distrib. Theory 7(2), 109\u2013140 (2012)","journal-title":"Uniform Distrib. Theory"},{"key":"17_CR10","doi-asserted-by":"crossref","unstructured":"Kraaikamp, C., Meester, R.: Ergodic properties of a dynamical system arising from percolation theory. Ergodic Theory Dyn. Syst. (1995)","DOI":"10.1017\/S0143385700008592"},{"key":"17_CR11","unstructured":"Laboureix, B.: Hyperplans arithm\u00e9tiques: connexit\u00e9, reconnaissance & transformations. Ph. D. thesis, Universit\u00e9 de Lorraine (2024)"},{"issue":"3\u20134","key":"17_CR12","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1007\/BF02020331","volume":"8","author":"A R\u00e9nyi","year":"1957","unstructured":"R\u00e9nyi, A.: Representations for real numbers and their ergodic properties. Acta Math. Acad. Sci. Hungar 8(3\u20134), 477\u2013493 (1957)","journal-title":"Acta Math. Acad. Sci. Hungar"},{"key":"17_CR13","doi-asserted-by":"crossref","unstructured":"Rigo, M.: Numeration systems: a link between number theory and formal language theory. In: International Conference on Developments in Language Theory, pp. 33\u201353. Springer (2010)","DOI":"10.1007\/978-3-642-14455-4_6"},{"issue":"4","key":"17_CR14","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1112\/blms\/12.4.269","volume":"12","author":"K Schmidt","year":"1980","unstructured":"Schmidt, K.: On periodic expansions of pisot numbers and salem numbers. Bull. Lond. Math. Soc. 12(4), 269\u2013278 (1980)","journal-title":"Bull. Lond. Math. Soc."},{"key":"17_CR15","doi-asserted-by":"crossref","unstructured":"Schweiger, F.: Multidimensional Continued Fractions. Oxford University (2000)","DOI":"10.1093\/oso\/9780198506867.001.0001"}],"container-title":["Lecture Notes in Computer Science","Combinatorics on Words"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-97548-6_17","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T01:21:37Z","timestamp":1776820897000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-97548-6_17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"ISBN":["9783031975479","9783031975486"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-97548-6_17","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025]]},"assertion":[{"value":"30 June 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"WORDS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Combinatorics on Words","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Nancy","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"France","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2025","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"30 June 2025","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4 July 2025","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"15","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"cwords2025","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/words2025.loria.fr\/en\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}