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Publications

Most of my work can be found on my ORBi page or on the arXiv.

Peer-reviewed journals

  1. J.-P. Allouche, M. S., Summing the sum of digits, Commun. Math. 33 (2025) no. 2 (Special issue: Numeration, Liège 2023, dedicated to the 75th birthday of professor Christiane Frougny), Paper no. 2., 11 pp, available online here
    arXiv:2311.16806ORBi
  2. M. Rigo, M. S., M. Whiteland, Characterizations of families of morphisms and words via binomial complexities, European J. Comb. 118 (2024), 103932, available online here
    arXiv:2201.04603ORBi
  3. M. Rigo, M. S., M. Whiteland, On extended boundary sequences of morphic and Sturmian words, Electron. J. Combin. 31 (2024) no. 1, Paper 1.9, 42 pp, available online here
    arXiv:2206.15319
  4. P. Mathonet, M. Rigo, M. S., N. Zénaïdi, On digital sequences associated with Pascal’s triangle, Aequationes Math97 (2023), 391—423, available online here
    arXiv:2201.06636ORBi
  5. M. Rigo, M. S., Automatic sequences: from rational bases to trees, Discrete Math. Theoret. Comput. Sci. 24 (2022), Paper 25
    arXiv:2102.10828ORBi
  6. M. Jahannia, M. Mohammad-noori, N. Rampersad, M. S., Closed Ziv–Lempel factorizations of the m-bonacci words, Theoret. Comput. Sci918 (2022), 32—47
    arXiv:2106.03202ORBi
  7. M. Rigo, M. S., Revisiting regular sequences in light of rational base numeration systems, Discrete Math. 345 (2022), 112735
    arXiv:2103.16966ORBi
  8. É. Charlier, C. Cisternino, M. S., Regular sequences and synchronized sequences in abstract numeration systems. European J. Comb. 101 (2022), 103475
    arXiv:2012.04969ORBi
  9. É. Charlier, C. Cisternino, M. S., Robustness of Pisot-regular sequences, Adv. Appl. Math. 125 (2021), 102151
    arXiv:2006.11126ORBi
  10. E. Rowland, M. S., Avoiding 5/4-powers on the alphabet of nonnegative integers, Electron. J. Combin. 27 (2020) no. 3, Paper 3.42, 39 pp
    Mathematica notebookarXiv:2005.03158ORBi
  11. L. Mol, J. Shallit, N. Rampersad, M. S., Cobham’s theorem and automaticity, Internat. J. Found. Comput. Sci. 30 (2019), 1363—1379
    arXiv:1809.00679ORBi
  12. M. Jahannia, M. Mohammad-noori, N. Rampersad, M. S., Palindromic Ziv–Lempel and Crochemore factorizations of m-bonacci infinite words, Theoret. Comput. Sci. 790 (2019), 16—40
    arXiv:1905.01340ORBi
  13. É. Charlier, M. Philibert, M. S., Nyldon words, J. Combin. Theory. Ser. A. 167 (2019), 60—90
    arXiv:1804.09735ORBi
  14. M. S., Convergence of Pascal-like triangles in Parry–Bertrand numeration systems, Theoret. Comput. Sci. 758 (2019), 42—60
    arXiv:1801.03287ORBi
  15. N. Rampersad, M. S., The formal inverse of the period-doubling sequence, J. Integer Seq. 21 (2018), Article 18.9.1, 22 pp
    arXiv:1807.11899ORBi
  16. J. Leroy, M. Rigo, M. S., Counting subword occurrences in base-b Expansions, Integers 18A (2018), Paper no. A13, 32 pp
    arXiv:1705.10065ORBi
  17. J. Leroy, M. Rigo, M. S., Behavior of digital sequences through exotic numeration systems, Electron. J. Combin. 24 (2017) no. 1, Paper 1.44, 36 pp
    arXiv:1705.08322ORBi
  18. J. Leroy, M. Rigo, M. S., Counting the number of non-zero coefficients in rows of generalized Pascal triangles, Discrete Math. 340 (2017), 862—881
    arXiv:1705.08343ORBi
  19. J. Leroy, M. Rigo, M. S., Generalized Pascal triangle for binomial coefficients of words, Adv. Appl. Math. 80 (2016), 24—27
    arXiv:1705.08270ORBi

Selective conferences

  1. M. Rigo, M. S., M. Whiteland, Gapped binomial complexities in sequences, 2023 IEEE International Symposium on Information Theory (ISIT), Tapai, Taiwan, 2023, 1294—1299
    ORBi
  2. F. Gheeraert, G. Romana, M. S., String attractors of fixed points of k-bonacci-like morphisms, 14th International Conference on WORDS 2023Lect. Notes in Comput. Sci. 13899 (2023), 192—205
    arXiv:2302.13647ORBi
  3. S. Kreczman, L. Prigioniero, E. Rowland, M. S., Magic numbers in periodic sequences, 14th International Conference on WORDS 2023Lect. Notes in Comput. Sci. 13899 (2023), 206—219
    arXiv:2304.03268ORBi
  4. M. Rigo, M. S., M. Whiteland, Automaticity and Parikh-collinear morphisms, 14th International Conference on WORDS 2023Lect. Notes in Comput. Sci. 13899 (2023), 247—260
    ORBi
  5. M. Rigo, M. S. M. A. Whiteland, On extended boundary sequences of morphic and Sturmian words, International Symposium on Mathematical Foundations of Computer Science (MFCS), Leibniz Int. Proc. Inform. 231 (2022), Paper 79
    arXiv:2206.15319ORBi
  6. M. Rigo, M. S., M. A. Whiteland, Binomial complexities of Parikh-Collinear Morphisms, Developments in Language Theory, Lect. Notes in Comput. Sci. 13257 (2022), 251—262
    arXiv:2201.04603ORBi
  7. É. Charlier, C. Cisternino, M. S., A full characterization of Bertrand numeration systems, Developments in Language Theory, Lect. Notes in Comput. Sci. 13257 (2022), 102—114
    arXiv:2202.04938ORBi
  8. E. Rowland, M. S., Avoiding 5/4-powers on the alphabet of nonnegative integers (extended abstract), Developments in Language Theory, Lect. Notes in Comput. Sci. 12086 (2020), 280—293
    arXiv:2005.03158ORBi 

In-progress and submitted work

  1. M. Rigo, M. S., M. Whiteland, Automatic abelian complexities of Parikh-Collinear fixed points, submitted.
    arxiv:2405.18032, ORBi
  2. M. Jahannia, M. S., Exploring the Crochemore and Ziv-Lempel factorizations of some automatic sequences with the software Walnut, in progress
    arXiv:2403.15215
  3. F. Gheeraert, G. Romana, M. S., String attractors of some simple-Parry automatic sequences, submitted
  4. P. Popoli, M.S., On the pseudorandomness of Parry-Bertrand automatic sequences, in progress
  5. J.-P. Allouche, J. Shallit, M. S., Combinatorics on words and generating Dirichlet series of automatic sequences, submitted
    arXiv:2401.13524ORBi
  6. J. Cassaigne, F. Gheeraert, A. Restivo, G. Romana, M. Sciortino, M.S., New string attractor-based complexities on infinite words, submitted
    ORBi
  7. E. Rowland, M. S., R. Yassawi, Algebraic power series and their automatic complexity I: finite fields, submitted
    arXiv:2308.10977ORBi

Dissertations

Extensions of the Pascal Triangle to Words, and Related Counting Problems, PhD thesis, ULiège (Belgium). Under the supervision of É. Charlier and M. Rigo. Thesis defended on April 2, 2019
ORBi

Asymptotic behavior of morphisms and Cobham’s theorem for erasing morphisms, Master’s thesis, ULiège (Belgium), June 2015 (in French). Under the supervision of É. Charlier and M. Rigo
ORBi