I am a lecturer at the University of Bath, where I am a member of
the probability group ProbL@B.
Between 2018 and 2021, I was an EPSRC postdoctoral fellow (title of the fellowship: "Random trees: analysis and applications").
Between 2013 and 2016, I was a postdoc at ProbL@B, as part of Peter Mörters' EPSRC project Emergence of Condensation in Stochastic Networks.
Between 2010 and 2013, I was a PhD student whithin the Laboratoire de Mathématiques de Versailles
under the supervision of Brigitte Chauvin and Danièle Gardy.
I am interested in:
 branching processes, random trees
 reinforcement, Pólya urns and stochastic approximation
 random networks, preferential attachment
 statistical physics: zerorange model, preferential attachment
 satisfiability, random Boolean trees and analytic combinatorics
I have been serving as an Associate Editor of the Applied Probability Trust (since October 2020),
and of Stochastic Processes and Their Applications (since March 2022).
I wrote a general introduction to Pólya urns for the
LMS Newsletter
(November 2020, page 24).
The intended audience is mathematicians in all areas of maths, starting at postgraduate level:
the nonofficial title is "Why do probabilists still study coloured balls being drawn from urns?"
[pdf]
News
Maternity leave
I will be on maternity leave until January 2023. I am still checking emails regularly, but might be slow to reply.
British Mathematical Colloquium 2023
I am part of the organising committee of the next BMC (chair: Kirill Cherednichenko), to be held at the University of Bath, April 36, 2023.
There is more information on the website.
Publications
Preprints
Journal Publications

Parametrised branching processes: a functional version of Kesten and Stigum's theorem (40 pages)
Cécile Mailler and JeanFrançois Marckert.
Stochastic Processes and their Applications, Volume 152, pages 339377, 2022.

The tracereinforced ants process does not find shortest paths. (26 pages)
Daniel Kious, Cécile Mailler and Bruno Schapira.
Journal de l'École Polytechnique, Tome 9, pages 505538, 2022.
A [video] of a 1hour talk on this preprint.

Finding geodesics on graphs using reinforcement learning (39 pages)
Daniel Kious, Cécile Mailler and Bruno Schapira.
Annals of Applied Probability (accepted for publication).
A [video] of a 1hour talk on this paper.

Dynamical models for random simplicial complexes (45 pages)
Nikolaos Fountoulakis, Tejas Iyer, Cécile Mailler and Henning Sulzbach.
Annals of Applied Probability Annals of Applied Probability, Volume 32, No. 4, pp 28602913, 2022.

Strict monotonic trees arising from evolutionary processes: combinatorial and probabilistic study (45 pages)
Olivier Bodini, Antoine Genitrini, Cécile Mailler and Mehdi Naima.
Advances in Applied Mathematics, Volume 133, 102284, February 2022.

Competing growth processes with random growth rates and random birth times (36 pages)
Cécile Mailler, Peter Mörters and Anna Senkevich.
Stochastic Processes and their Applications, 135, pp 183226, 2021.

Stochastic approximation on noncompact measure spaces and application to measurevalued Pólya processes. (46 pages)
Cécile Mailler and Denis Villemonais.
Annals of Applied Probability, 30(5), pp 23932438, 2020.

Characterising random partitions by random colouring (12 pages)
Jakob E. Björnberg, Cécile Mailler, Peter Mörters and Daniel Ueltschi.
Electronic Communications in Probability, Volume 25, paper no. 4, 12 pp, 2020.

Unbiased onlattice domain growth. (15 pages)
Cameron Smith, Cécile Mailler and Kit Yates.
Physical Review E, 100(6), pp 063307, 2019.

Random walks with preferential relocations and fading memory: a study through random recursive trees. (35 pages)
Cécile Mailler and Gerónimo Uribe Bravo.
Journal of Statistical Mechanics: Theory and Experiment, September 2019.

Multiple drawing multicolour urns by stochastic approximation. (20 pages)
Nabil Lasmar, Cécile Mailler and Olfa Selmi.
Journal of Applied Probability, 55(1), pp 254281, 2018.

Describing the asymptotic behaviour of multicolour Pólya urns via smoothing systems analysis. (26 pages)
Cécile Mailler.
Latin American Journal of Probability and Mathematical Statistics  ALEA, XV, pp 375408, 2018.

And/or trees: a local limit point of view. (33 pages)
Nicolas Broutin and Cécile Mailler.
Random Structures and Algorithms, 53(1), pp 1558, 2018.

Measurevalued Pólya processes. (37 pages)
Cécile Mailler and JeanFrançois Marckert.
Electronic Journal of Probability 22, paper no. 26, pp 33 (DOI:10.1214/17EJP47), 2017.
I gave a talk on this work at the Workshop on Analytic and Probabilistic Combinatorics at BIRS (Banff, Canada); the video of this talk is available here.

Non extensive condensation in reinforced branching processes. (20 pages)
Steffen Dereich, Cécile Mailler and Peter Mörters.
Annals of Applied Probability 27(4), pp 25392568, 2017.

A bijective study of Basketball walks. (20 pages)
Jérémie Bettinelli, Éric Fusy, Cécile Mailler and Lucas Randazzo.
Séminaire Lotharingien de Combinatoire, 77, Art. B77a, pp 1–24, 2017.

The relation between tree size complexity and probability for Boolean functions generated by uniform random trees. (22 pages)
Antoine Genitrini, Bernhard Gittenberger, Veronika Kraus and Cécile Mailler.
Applicable Analysis and Discrete Mathematics, Volume 10(2), pp 408446 (DOI 10.2298/AADM160715015D), 2016.

Condensation and symmetrybreaking in the zerorange process with weak site disorder. (22 pages)
Cécile Mailler, Peter Mörters
and Daniel Ueltschi.
Stochastic Processes and their Applications 126(11), pp 32833309 (DOI 10.1016/j.spa.2016.04.028), 2016.

Generalised and Quotient Models for Random And/Or Trees and Application to Satisfiability. (23 pages)
Antoine Genitrini et Cécile Mailler.
Algorithmica 76(4), pp 11061138, 2016.

Associative and commutative tree representations for Boolean functions. (36 pages)
Antoine Genitrini, Bernhard Gittenberger, Veronika Kraus and Cécile Mailler.
Theoretical Computer Science, 570, pp 70101 (DOI : 10.1016/j.tcs.2014.12.025), 2015.

A sprouting tree model for random Boolean functions. (23 pages)
Brigitte Chauvin, Danièle Gardy and Cécile Mailler.
Random Structures and Algorithms, 47(4), page 635, 2015.

Smoothing equations for large Pólya urns. (26 pages)
Brigitte Chauvin, Cécile Mailler and Nicolas Pouyanne.
Journal of Theoretical Probability, 28, pages 923957, 2015.

Probabilities of Boolean functions given by random implicational formulas. (20 pages)
Antoine Genitrini, Bernhard Gittenberger, Veronika Kraus and Cécile Mailler.
Electronic Journal of Combinatorics, 19, No. 2, P37 (electronic), 2012.
Articles in conference proceedings

The Disordered Chinese Restaurant and Other Competing Growth Processes.
Cécile Mailler, Peter Mörters and Anna Senkevich.
In proc. 31st International Meeting on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA'20), LIPIcs 21:121:13, 2020.

No Shannon effect induced by And/Or trees.
Antoine Genitrini, Bernhard Gittenberger and Cécile Mailler.
In proc. 25th International Meeting on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA'14), DMTCS, pages 109120, 2014.

Equivalence classes of random Boolean trees and application to the Catalan satisfiability problem.
Antoine Genitrini and Cécile Mailler.
In proc. 11^{th} Latin American Theoretical INformatics Symposium (LATIN), LNCS volume 8392, pages 466477, 2014.

The growing tree distribution for Boolean functions.
Brigitte Chauvin, Danièle Gardy and Cécile Mailler.
In proc. 8^{th} SIAM Workshop on Analytic and Combinatorics (ANALCO), pages 4556, 2011.
PhD Thesis
Teaching at summer schools
Selected recent talks
The ants walk: finding geodesics in a graph using reinforcement learning.
Study of extremes in three competing growth processes.
Dynamical models for random simplices.
Stochastic approximation on a noncompact space and application to measurevalued Pólya processes.
 King's college probability seminar, London, UK, September 23, 2019.
 Rencontre ANR/SNSF MALIN, Les Diablerets, Switzerland, June 10th14th 2019.
 UK Easter Probability meeting, Sheffield, April, 2018.
The monkey walk: a random walk with random reinforced relocations.
 Séminaire Philippe Flajolet, IHP, Paris, France, June 6, 2019.

Workshop "Women in Probability" 2019, Technical University of Munich, Germany, May 31thJune 1st 2019.

SPA 2019, Northwestern University, Chicago, USA, July 8th12th 2019.

King's college workshop on random graphs and random processes, King's college, London, April 9th 2019.
 Zurich's seminar on stochastic processes, Zurich, October, 2018.
 672. WEHeraeus Seminar "Search and Problem Solving by Random Walks", Bad Honnef, Germany, May, 2018.
PhD students
 Chris Dean (2020): Pólya urns with growing initial composition.
 Stelios Boci (2018): Large deviations for the Monkey walk.
 Anna Senkevich (20162019): Competing growth processes with random growth rates and random birth times. (Cosupervised with Peter Mörters)