Publications

My papers can be found on arXiv (see links below; the arXiv version may differ from the published version). See also my Google Scholar profile.

Preprints:

1. A canonical tree decomposition for order types, and some applications, with Mathilde Bouvel, Xavier Goaoc and Florent Koechlin, preliminary version, arXiv.
   (An extended abstract of this paper has been accepted for a talk presentation in SoCG 2024.)
2. Binary search trees of permuton samples, with Benoît Corsini and Victor Dubach, submitted, arXiv.
3. Dense and nondense limits for uniform random intersection graphs, with Frédérique Bassino, Mathilde Bouvel, Lucas Gerin and Adeline Pierrot, submitted, arXiv.
4. Scaling limit of graph classes through split decomposition, with Frédérique Bassino, Mathilde Bouvel, Lucas Gerin and Adeline Pierrot, submitted, arXiv.

Monographs:

1. Mod-phi convergence: normality zone and precise deviations, with Pierre-Loïc Méliot and Ashkan Nikeghbali.
   Springer Briefs in Probability and Mathematical Statistics, Springer, 2016, arXiv.
   Contains original results, which are not published elsewhere.
2. Approche duale des représentations du groupe symétrique.
   Collection "Les cours Peccot", Spartacus, 2016 (in French).
   Surveys recent developments in the field. Based on lectures given in Collège de France early 2013.
   Freely available here or on the editor website.
3. Maths la Terminale S, collective book, Edn Ellipse, 2016 (in French).
   Intended for motivated high school students, who want to discover in an original way some more advanced mathematical notions.

Journal papers:

1. A determinantal point process approach to scaling and local limits of random Young tableaux, with Jacopo Borga, Cédric Boutillier and Pierre-Loïc Méliot.
   Annals of Probability, to appear, arXiv.
   
2. Asymptotic normality of pattern counts in conjugacy classes, with Mohamed Slim Kammoun.
   Electronic Journal of Probability, vol 29, paper no. 56, pp. 1-22, 2024, arXiv.
3. Wiener indices of minuscule lattices, with Colin Defant, Philippe Nadeau and Nathan Williams.
   Electronic Journal of Combinatorics, vol. 31 (1), #P1.41, 2024, arXiv.
4. The permuton limit of random recursive separable permutations, with Kelvin Rivera-Lopez.
   Confluentes Mathematici, 15, pp. 45-82, 2023, arXiv.
5. Convergence law for 231-avoiding permutations, with Michael Albert, Mathilde Bouvel, and Marc Noy.
   Discrete Mathematics and Theoretical Computer Science, vol. 26:1, Permutation Patterns 2023, arXiv.
6. Components in meandric systems and the infinite noodle, with Paul Thévenin.
   International Mathematics Research Notices, vol. 2023 (14), 12538-12560, 2023, arXiv.
7. Random generation and scaling limits of fixed genus factorizations into transpositions, with Baptiste Louf and Paul Thévenin.
   Probability Theory and Related Fiels, 184 (3), 681-‌748, 2022, arXiv.
8. Linear-sized independent sets in random cographs and increasing subsequences in separable permutations, with Frédérique Bassino, Mathilde Bouvel, Michael Drmota, Lucas Gerin, Mickaël Maazoun and Adeline Pierrot.
   Combinatorial Theory, 2 (3), 35 pages, 2022, arXiv.
9. Scaling limits of permutation classes with a finite specification: a dichotomy, with Frédérique Bassino, Mathilde Bouvel, Lucas Gerin, Mickaël Maazoun and Adeline Pierrot.
   Advances in Mathematics, vol. 405, Article 108513, 2022, arXiv.
10. Random cographs: Brownian graphon limit and asymptotic degree distribution, with Frédérique Bassino, Mathilde Bouvel, Lucas Gerin, Mickaël Maazoun and Adeline Pierrot.
    Random Structures and Algorithms, 60 (2), pp. 166-200, 2022, arXiv.
11. Universal limits of substitution-closed permutation classes, with Frédérique Bassino, Mathilde Bouvel, Lucas Gerin, Mickaël Maazoun and Adeline Pierrot.
    Journal of European Mathematical Society, 22 (11), pp. 3565–3639, 2020, arXiv.
12. A decorated tree approach to random permutations in substitution-closed classes, with Jacopo Borga, Mathilde Bouvel, and Benedikt Stufler.
    Electronic Journal of Probability, 25, paper no. 67, pp. 1-52, 2020, arXiv.
13. Two first-order logics of permutations, with Michael Albert and Mathilde Bouvel.
    Journal of Combinatorial Theory Series A, 171, paper no. 105158, 2020, arXiv.
14. Graphons, permutons and the Thoma simplex: three mod-Gaussian moduli spaces, with Pierre-Loïc Méliot and Ashkan Nikeghbali.
    Proceedings of the London Mathematical Society, 121 (3), pp. 876–926, 2020, arXiv.
15. On the central limit theorem for the two-sided descent statistics in Coxeter groups.
    Electronic Communications in Probability, 25, paper no. 28, pp. 1--6, 2020, arXiv.
16. Central limit theorems for patterns in multiset permutations and set partitions.
    Annals of Applied Probability, 30 (1), pp. 287-323, 2020, arXiv.
17. Weighted dependency graphs and the Ising model, with Jehanne Dousse.
    Annales de l'IHP D: Combinatorics, Physics and their Interactions, 6 (4), pp. 533-571, 2019, arXiv.
18. Trajectories in random minimal transposition factorizations, with Igor Kortchemski.
    Latin American Journal of Probability and Mathematical Statistics, 16, pp. 759-785, 2019, arXiv.
19. Asymptotics for skew standard Young tableaux via bounds for characters, with Jehanne Dousse.
    Proceedings of the AMS, 147, pp. 4189-4203, 2019, arXiv.
20. Mod-phi convergence II: Estimates on the speed of convergence, with Pierre-Loïc Méliot and Ashkan Nikeghbali.
    Séminaire de Probabilités L, vol 2252 of Lecture Notes in Mathematics Series, pp. 405-477, 2019, arXiv.
21. The geometry of random minimal factorizations of a long cycle via biconditioned bitype random trees, with Igor Kortchemski.
    Annales Henri Lebesgue, 1, pp. 149-226, 2018, arXiv. Corrigendum.
22. Weighted dependency graphs.
    Electronic Journal of Probability, 23, paper no. 93, 65 pp, 2018, arXiv.
23. The Brownian limit of separable permutations, with Frédérique Bassino, Mathilde Bouvel, Lucas Gerin and Adeline Pierrot.
    Annals of Probability, 46 (4), pp. 2134-2189, 2018, arXiv.
24. Shifted symmetric functions and multirectangular coordinates of Young diagrams , with Per Alexandersson.
    Journal of Algebra, 483, pp. 262-305, 2017, arXiv.
25. Cumulants of Jack symmetric functions and b-conjecture, with Maciej Dołęga.
    Transactions of the AMS, 369 (12), pp. 9014-9039, 2017, arXiv.
26. Gaussian fluctuations of Young diagrams and structure constants of Jack characters, with Maciej Dołęga.
    Duke Mathematical Journal, 165 (7), pp. 1193-1282, 2016, arXiv.
27. Cyclic inclusion-exclusion.
    SIAM Journal in Discrete Mathematics, 29 (4), pp. 2284-2311, 2015, arXiv.
28. On products of long cycles: short cycle dependence and separation probabilities, with Amarpreet Rattan.
    Journal of Algebraic Combinatorics, 42 (1), pp. 183-224, 2015, arXiv.
29. Quasi-symmetric functions as polynomial functions on Young diagrams, with Jean-Christophe Aval, Jean-Christophe Novelli and Jean-Yves Thibon.
    Journal of Algebraic Combinatorics, 41 (3), pp. 669-706, 2015, arXiv.
30. Jack polynomials and orientability generating series of maps, with Maciej Dołęga and Piotr Śniady.
    Séminaire Lotharingien de Combinatoire, B70j, 50 pp (electronic), 2014, arXiv.
31. An edge-weighted hook formula for labelled trees, with I. P. Goulden and Alain Lascoux.
    Journal of Combinatorics, 5 (2), pp. 245-269, 2014, arXiv.
32. A simple model of trees for unicellular maps, with Guillaume Chapuy and Éric Fusy.
    Journal of Combinatorial Theory Series A, 120, pp. 2064–2092, 2013, arXiv.
33. Asymptotics of some statistics in Ewens random permutations.
    Electronic Journal of Probability, 18 (76), pp. 1-32, 2013, arXiv.
34. A multivariate hook formula for labelled trees, with I. P. Goulden.
    Journal of Combinatorial Theory Series A, 120, pp. 944-959, 2013, arXiv.
35. P-partitions revisited, with Victor Reiner.
    Journal of Commutative Algebra, 4 (1), pp. 101-152, 2012, arXiv.
36. Linear extension sums as valuations of cones, with Adrien Boussicault, Alain Lascoux and Victor Reiner.
    Journal of Algebraic Combinatorics, 35 (4), pp. 573-610, 2012, arXiv.
37. On complete functions in Jucys-Murphy elements.
    Annals of Combinatorics, 16 (4), pp. 677-707, 2012, arXiv.
38. Bijective enumeration of some colored permutations given by the product of two long cycles, with Ekatarina Vassilieva.
    Discrete Mathematics, 312 (2), pp. 279-292, 2012, arXiv.
39. Partial Jucys-Murphy elements and star factorizations.
    European Journal of Combinatorics 33, pp. 189-198, 2012, arXiv.
40. Asymptotics of q-Plancherel measures, with Pierre-Loïc Méliot.
    Probability Theory and Related Fields, 152 (3-4), pp. 589-624, 2012, arXiv. Erratum.
41. Asymptotics of characters of symmetric groups related to Stanley character formula, with Piotr Śniady.
    Annals of Mathematics, 173 (2), 887-906, 2011, arXiv.
42. Zonal polynomials via Stanley's coordinates and free cumulants, with Piotr Śniady.
    Journal of Algebra, 334, pp. 338-373, 2011, arXiv.
43. Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations, with Maciej Dołęga and Piotr Śniady.
    Advances in Mathematics, 225 (1), pp. 81- 120, 2010, arXiv.
44. Stanley's Formula for Characters of the Symmetric Group.
    Annals of Combinatorics, 13 (4), pp. 453 - 461, 2010, arXiv.
45. Combinatorial interpretation and positivity of Kerov's character polynomials.
    Journal of Algebraic Combinatorics, 29 (4), pp. 473-507, 2009, arXiv.
46. Application of graph combinatorics to rational identities of type A, with Adrien Boussicault.
    Electronic Journal of Combinatorics, 16 (1), R145, 2009, arXiv.

Conference papers:

(Except 3, these are shorter versions of some of the journal papers above; in 10, the proof of the main theorem is different, and slightly shorter, than the one in the journal version.)

1. A Canonical Tree Decomposition for Chirotopes (extended abstract), with Mathilde Bouvel, Xavier Goaoc and Florent Koechlin.
   Talk, SoCG 2024, Athens (Greece), to appear.
2. A determinantal point process approach to scaling and local limits of random Young tableaux (extended abstract), with Jacopo Borga, Cédric Boutillier and Pierre-Loïc Méliot.
   Talk, FPSAC 2024, Bochum (Germany), to appear.
3. A positivity conjecture on the structure constants of shifted Jack functions, with Per Alexandersson.
   Proceedings of OPAC (Open Problems in Algebraic Combinatorics) conference, to appear, arXiv.
4. Cyclic inclusion-exclusion and the kernel of P-partitions.
   Talk, FPSAC 2016, Vancouver (Canada), DMTCS proc. BC, 515–526, 2016.
5. Cumulants of Jack symmetric functions and b-conjecture, with Maciej Dołęga.
   Poster, FPSAC 2016, Vancouver (Canada), DMTCS proc. BC, 395–406, 2016.
6. Super quasi-symmetric functions via Young diagrams, with Jean-Christophe Aval, Jean-Christophe Novelli and Jean-Yves Thibon.
   Poster, FPSAC 2014, Chicago (USA), DMTCS proc. AT, 169-180, 2014.
7. On Kerov polynomials for Jack characters, with Maciej Dołęga.
   Poster, FPSAC 2013, Paris (France), DMTCS proc. AS, 569-580, 2013.
8. A simple tree model for unicellular maps, with Guillaume Chapuy and Éric Fusy.
   Talk, FPSAC 2012, Nagoya (Japon), DMTCS proc. AR, 215–226, 2012.
9. Asymptotics of some statistics in Ewens random permutations.
   Talk, AofA 2012, Montréal (Canada), DMTCS proc. AQ, 43–54, 2012.
10. Dual combinatorics of zonal polynomials, with Piotr Śniady.
    Talk, FPSAC 2011, Reykyavik (Iceland), DMTCS proc. AO, 317-328, 2011.
11. Linear coefficients of Kerov's polynomials: bijective proof and refinement of Zagier's result, with Ekaterina Vassilieva.
    Poster, FPSAC 2010, San Francisco (USA), DMTCS proc. AN, 713-724, 2010.
12. Application of graph combinatorics to rational identities of type A, with Adrien Boussicault.
    Poster, FPSAC 2009, Hagenberg (Austria), DMTCS proc, AK, 229 - 240, 2009.
13. Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations, with Maciej Dołęga et Piotr Śniady.
    Talk, FPSAC 2009, Hagenberg (Austria), DMTCS proc, AK, 337-348, 2009.
14. Combinatorial interpretation and positivity of Kerov's character polynomials.
    Talk, FPSAC 2008, Viña del Mar (Chile), DMTCS proc. AJ, 93-104, 2008. "best paper from a student" award.

Notes (not submitted for publication):

• On the combinatorial local log-concavity conjecture and a result of Stanley, arXiv.
• A note on a Cayley graph of \(S_n\), with Guillaume Chapuy, arXiv.

Thesis:

• Habilitation thesis (HDR), 2021: On random combinatorial structures: partitions, permutations and asymptotic normality, see the manuscript.
• PhD thesis, 2009: Combinatorics of functions on the set on Young diagrams: irreducible character of the symmetric groups and Kerov's polynomials, supervised by Philippe Biane (LIGM), see the manuscript;