Research
A list of reasonably priced journals
Here are some of my research papers:
- A total variation threshold for the first coordinates of uniform parking functions via Lorentzian polynomials, not intended for journal publication.
- Rare subtree patterns in size-conditioned Bienaymé trees: Poisson approximation and declumping (with Leonard Vetter), preprint.
- The height of the infection tree (with Emmanuel Kammerer and Delphin Sénizergues), preprint.
- Does freezing impede the growth of random recursive trees? (with Anna Brandenberger, Simon Briend, Hannah Cairns and Robin Khanfir), to appear in Bernoulli.
- Uniform attachment with freezing: scaling limits (with Étienne Bellin, Arthur Blanc-Renaudie and Emmanuel Kammerer), Ann. Inst. H. Poincaré Probab. Statist 61(4) 2679-2708 (2025).
- Random Lévy Looptrees and Lévy Maps (with Cyril Marzouk), Ann. Appl. Probab 35 (6) 3973 - 4029 (2025).
- Condensation in subcritical Cauchy Bienaymé trees (with Leonard Vetter), Electron. Commun. Probab. 30 (79) 1-13 (2025).
- Uniform attachment with freezing (with Étienne Bellin, Arthur Blanc-Renaudie and Emmanuel Kammerer), Ann. Appl. Probab. 35(4) 2882-2922 (2025).
- Critical trees are neither too short nor too fat (with Louigi Addario-Berry and Serte Donderwinkel), Ann. H. Lebesgue 8 113-149 (2025).
- Coupling Bertoin's and Aldous-Pitman's representations of the additive coalescent (with Paul Thévenin), Random Struct. Alg.65 17-45 (2024).
- Large deviation Local Limit Theorems and limits of biconditioned Trees and Maps (with Cyril Marzouk), Ann. Appl. Probab 33(5): 3755-3802 (2023).
- The mesoscopic geometry of sparse random maps (with Nicolas Curien and Cyril Marzouk), Journal de l’École polytechnique — Mathématiques, Tome 9, pp. 1305-1345 (2022).
- On conditioning a self-similar growth-fragmentation by its intrinsic area (with Jean Bertoin and Nicolas Curien), Ann. Inst. H. Poincaré Probab. Statist., 57 (2) 1136 - 1156 (2021).
- The boundary of random planar maps via looptrees (with Loïc Richier), Ann. Fac. Sci. Toulouse Math, 29, no. 2, 391–430 (2020).
- Trajectories in random minimal transposition factorizations (with Valentin Féray), Lat. Am. J. Probab. Math. Stat 16, 759–785 (2019).
- Condensation in critical Cauchy Bienaymé-Galton-Watson trees (with Loïc Richier) Ann. Appl. Probab. 29(3) 1837-1877 (2019).
- The geometry of random minimal factorizations of a long cycle via biconditioned bitype random trees (with Valentin Féray), Ann. H. Lebesgue 1 109-186 (2018).
- Martingales in self-similar growth-fragmentations and their connections with random planar maps (with Jean Bertoin, Timothy Budd and Nicolas Curien), Probab. Theory Related Fields 172(3), 663-724 (2018).
- Random planar maps & growth-fragmentations (with Jean Bertoin and Nicolas Curien), Ann. Probab. (46)(1) 207-260 (2018).
- Simply generated non-crossing partitions (with Cyril Marzouk), Comb. Probab. Comp. 26(4), 560–592 (2017).
- Sub-exponential tail bounds for conditioned stable Bienaymé–Galton–Watson trees, Probab. Theory Related Fields 168(1) 1–40 (2017).
- Self-similar scaling limits of Markov chains on the positive integers (with Jean Bertoin), Ann. Appl. Probab. 26(4) 2556-2595 (2016).
- Predator-prey dynamics on infinite trees: a branching random walk approach, J. Theor. Probab. 29, 1027-1046 (2016).
- Triangulating stable laminations (with Cyril Marzouk), Electron. J. Probab. 21(11), 1–31 (2016).
- Percolation on random triangulations and stable looptrees (with Nicolas Curien), Probab. Theory Related Fields 163(1-2) 303–337 (2015).
- The CRT is the scaling limit of random dissections (with Nicolas Curien and Bénédicte Haas), Random Struct. Alg. 47(2) 304–327 (2015).
- Limit theorems for conditioned nongeneric Galton-Watson trees, Ann. Inst. H. Poincaré Probab. Statist. 15(2), 489–511 (2015).
- Scaling limits and influence of the seed graph in preferential attachment trees (with Nicolas Curien, Thomas Duquesne and Ioan Manolescu), J. Éc. polytech. Math. 2 1–34 (2015).
- A predator-prey SIR type dynamics on large complete graphs with three phase transitions, Stoch. Proc. Appl. 125(3) 886–917 (2015).
- Random stable looptrees (with Nicolas Curien), Electron. J. Probab. 19, no. 108, 1–35 (2014).
- Random non-crossing plane configurations: A conditioned Galton-Watson tree approach (with Nicolas Curien), Random Struct. Alg. 45(2), 236–260 (2014).
- Random stable laminations of the disk, Ann. Probab. 42(2), 725–759 (2014).
- A simple proof of Duquesne's theorem on contour processes of conditioned Galton-Watson trees, Séminaire de Probabilités XLV, Lecture Notes in Mathematics, 537-558 (2013).
- Invariance principles for Galton-Watson trees conditioned on the number of leaves, Stoch. Proc. Appl. 122 3126–3172 (2012).
- Asymptotic behavior of permutation records, J. Comb. Theory Ser. A, 116 (2009) 1154-1166.
- Good Sequences, Bijections and Permutations, Undergrad. Math J. 6, No. 2, 26 p. (2005).
Other published mathematical texts
All texts in this section are in French.
- Tell me about ... the Brownian continuum random tree (with Nicolas Curien), Gaz. Math. 162 51-59 (2019).
- Probability - Science preparatory classes (with Roger Mansuy), Vuibert (2018).
- On the prime divisors of a^n±b^n, RMS (Revue des Mathématiques de l'Enseignement Supérieur) 125-4 (2015).
- Statistics of the number of cycles of a permutation (with Xavier Caruso), RMS (Revue des Mathématiques de l'Enseignement Supérieur) 121-4 (2011).
- Good sequences and permutations (2005 Fermat Junior Prize), Quadrature, 62 24-34 (2006).
Doctoral and postdoctoral supervision
- Antoine Aurillard (PhD, jointly supervised with Bruno Schapira, 2023 - )
- Vanessa Dan (PhD, jointly supervised with Cyril Marzouk, 2023 - )
- Etienne Bellin (PhD, 2020-2023)
- Paul Thevenin (PhD, 2017-2020)
- Loïc Richier (postdoc, 2017-2018)
Habilitation
I defended my habilitation in November 2016. The manuscript is available in PDF (in French).
PhD thesis
I defended my PhD thesis, supervised by Jean-François Le Gall, in December 2012. It received the Perrissin-Pirasset / Schneider thesis prize from the Chancellerie des Universités de Paris. The manuscript is available in PDF, and the Introduction alone is also available in PDF (in French).
Miscellaneous texts
All documents in this section are in French.
My introduction to my research area, written at the end of my studies at ENS, 2010: Random laminations of the disk (format PDF).
My Master’s thesis, supervised by J.-F. Le Gall, 2010: Geodesics in scaling limits of random quadrangulations of arbitrary genus (format PDF).
My first-year Master’s dissertation (with Stéphane Benoist, supervised by M. Rosso), 2008: Construction of operators on a Hilbert space or Deformation of the canonical commutation relations (format PDF).
Some texts I have written:
- Rankings and Eulerian polynomials, 2006 - Format PDF
- Good sequences and sums of terms in matching positions, 2006 - Format PDF, format PS
- Notes on Jordan normal form and Young tableaux, 2006
- Format PDF, format PS
TIPE
All reports in this section are in French.