Research page of Samuele Giraudo

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Preprints

  1. The combinator M and the Mockingbird lattice
  2. The music box operad: Random generation of musical phrases from patterns
  3. Disorders and permutations: parity
  4. Cliff operads: a hierarchy of operads on words
  5. Graph operads: general construction and natural extensions of canonical operads
  6. Operads of decorated cliques II: Noncrossing cliques

Published works

  1. Mockingbird lattices
  2. Three Fuss-Catalan posets in interaction and their associative algebras
  3. Disorders and permutations
  4. Duality of graded graphs through operads
  5. Operads of decorated cliques I: Construction and quotients
  6. Tree series and pattern avoidance in syntax trees
  7. Generation of musical patterns through operads
  8. Three interacting families of Fuss-Catalan posets
  9. Graph insertion operads
  10. Colored operads, series on colored operads, and combinatorial generating systems
  11. Quotients of the magmatic operad: lattice structures and convergent rewrite systems
  12. Unshuffling permutations: Trivial bijections and compositions
  13. Nonsymmetric Operads in Combinatorics
  14. Generalizations of the associative operad and convergent rewrite systems
  15. Algorithmic and algebraic aspects of unshuffling permutations
  16. Combalgebraic structures on decorated cliques
  17. Combinatorial Hopf algebras from PROs
  18. Operads from posets and Koszul duality
  19. Pluriassociative algebras II: The polydendriform operad and related operads
  20. Pluriassociative algebras I: The pluriassociative operad
  21. Operads, quasiorders, and regular languages
  22. Unshuffling Permutations
  23. Hopf algebra structure on packed square matrices
  24. Combinatorial operads from monoids
  25. Enveloping operads and bicoloured noncrossing configurations
  26. Construction d’opérades ensemblistes à partir de monoïdes
  27. Constructing combinatorial operads from monoids
  28. Algebraic and combinatorial structures on pairs of twin binary trees
  29. Intervals of balanced binary trees in the Tamari lattice
  30. Algebraic and combinatorial structures on Baxter permutations
  31. Balanced binary trees in the Tamari lattice

Theses

  1. Habilitation thesis
  2. PhD thesis
  3. Master thesis

Talks

  1. An introduction to operator structures: operads
  2. Une promenade autour des termes, des opérades et des clones
  3. Operads of musical phrases and generation
  4. Clone realizations of semigroup varieties
  5. Some combinatorial aspects of combinatory logic
  6. Interstice operads of words
  7. Rewrite systems on free clones and realizations of algebraic structures
  8. A hierarchy of operads on words
  9. Calimba: a language for computer music
  10. Combinatorial realizations of algebraic structures
  11. Associative algebras on cliffs
  12. Cliff posets and algebras
  13. Random generation of musical patterns through operads
  14. Pattern avoidance in trees, operads, and enumeration
  15. Combinatorial operads, rewrite systems, and formal grammars
  16. Graded graphs and operads
  17. Some combinatorial structures related to operads
  18. Tree rewriting and enumeration
  19. Algebraic structures, series, and enumeration
  20. Opérades, séries formelles et arbres à motifs exclus
  21. Séries d’arbres, motifs exclus et opérades
  22. Opérades, séries et combinatoire
  23. Operads, enumeration, and constructions
  24. Bigèbres de Hopf combinatoires des pros
  25. Opérades w combinatoire
  26. Découpage d’associativité généralisé
  27. Grammaires à bourgeons
  28. Opérades des cliques décorées
  29. Grammaires et séries d’opérades colorées
  30. Unshuffling Permutations
  31. Grammaires d’opérades colorées
  32. Series on colored operads and combinatorial generation
  33. Polydendriform algebras
  34. Opérades pluriassociatives et polydendriformes
  35. From PROs to combinatorial Hopf algebras
  36. Opérades colorées et combinatoire
  37. Opérades colorées et configurations non croisées bicolorées
  38. Constructing combinatorial operads from monoids
  39. Construction of combinatorial operads
  40. L’opérade des configurations non croisées bicolorées
  41. Construction d’opérades combinatoires à partir de monoïdes et application aux algèbres de Hopf combinatoires
  42. Construction d’opérades combinatoires à partir de monoïdes
  43. Les arbres binaires équilibrés dans le treillis de Tamari
  44. Algebraic and combinatorial structures on Baxter permutations
  45. Algèbres de Hopf des permutations et des objets de Baxter
  46. Construction algébrique sur les objets de Baxter
  47. Arbres binaires de recherche : algorithmique et algèbre

Posters

  1. Generation of musical patterns through operads
  2. Three interacting families of Fuss-Catalan posets
  3. Algebraic combinatorics of formal series
  4. Algebraic and combinatorial structures on decorated cliques
  5. Objets combinatoires, assemblages et désassemblages
  6. Algebraic and combinatorial structures on Baxter permutations
  7. Balanced binary trees in the Tamari lattice

Software realizations

  1. Calimba
  2. Bud Music Box