Directional counting for regular languages

We explain how certain tools from convex analysis and probability theory may be used in order to obtain counting results for the number of words with prescribed frequencies of letters in regular languages.

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Date:2026
Main Authors: Grigorchuk, Rostislav, Quint, Jean-François
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2026
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2456
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Grigorchuk, Rostislav
Quint, Jean-François
author_facet Grigorchuk, Rostislav
Quint, Jean-François
author_sort Grigorchuk, Rostislav
baseUrl_str https://admjournal.luguniv.edu.ua/index.php/adm/oai
collection OJS
datestamp_date 2026-04-05T09:02:49Z
description We explain how certain tools from convex analysis and probability theory may be used in order to obtain counting results for the number of words with prescribed frequencies of letters in regular languages.
doi_str_mv 10.12958/adm2456
first_indexed 2026-04-06T01:00:02Z
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institution Algebra and Discrete Mathematics
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language English
last_indexed 2026-04-06T01:00:02Z
publishDate 2026
publisher Lugansk National Taras Shevchenko University
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spelling admjournalluguniveduua-article-24562026-04-05T09:02:49Z Directional counting for regular languages Grigorchuk, Rostislav Quint, Jean-François counting in groups, convex analysis, languages, limit theorems 05A16, 20F69, 26B25, 37B10, 60F10 We explain how certain tools from convex analysis and probability theory may be used in order to obtain counting results for the number of words with prescribed frequencies of letters in regular languages. Lugansk National Taras Shevchenko University 2026-04-05 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2456 10.12958/adm2456 Algebra and Discrete Mathematics; Vol 41, No 1 (2026) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2456/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2456/1359 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2456/1360 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2456/1361 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2456/1362 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2456/1363 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2456/1364 Copyright (c) 2026 Algebra and Discrete Mathematics
spellingShingle counting in groups
convex analysis
languages
limit theorems
05A16
20F69
26B25
37B10
60F10
Grigorchuk, Rostislav
Quint, Jean-François
Directional counting for regular languages
title Directional counting for regular languages
title_full Directional counting for regular languages
title_fullStr Directional counting for regular languages
title_full_unstemmed Directional counting for regular languages
title_short Directional counting for regular languages
title_sort directional counting for regular languages
topic counting in groups
convex analysis
languages
limit theorems
05A16
20F69
26B25
37B10
60F10
topic_facet counting in groups
convex analysis
languages
limit theorems
05A16
20F69
26B25
37B10
60F10
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2456
work_keys_str_mv AT grigorchukrostislav directionalcountingforregularlanguages
AT quintjeanfrancois directionalcountingforregularlanguages