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Personal profile

Research interests

My research is mostly focused on the study of random trees, and more generally on branching processes, reinforced processes, and Pólya urns. My research is often motivated by application to other scientific areas such as computer science or physics.

For example, since my PhD, I have been interested in applying probabilistic results about random trees to the satsifiability problem. More recently, I have been working on the Bianconi and Barabási model for complex networks and proving results about the size of the largest hub in these networks. Another big part of my current research, since my collaboration with Jean-François Marckert, is about developping the theory of Pólya urns with infinitely-many colours.

Although these interests may seem very diverse, all of them involve the study of random trees such as the  random recursive tree, the random binary search tree, and the preferential attachment tree.

Willing to supervise PhD

Please contact me for more information about PhD projects.

Fingerprint Dive into the research topics where Cecile Mailler is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Condensation Mathematics
Boolean Functions Mathematics
Zero-range Process Mathematics
Random Trees Mathematics
Stochastic Approximation Mathematics
Random Function Mathematics
Branching process Mathematics
Symmetry Breaking Mathematics

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Projects 2018 2021

Research Output 2015 2020

Stochastic approximation on non-compact measure spaces and application to measure-valued Pólya processes.

Mailler, C. & Villemonais, D., 8 Jan 2020, (Accepted/In press) In : Annals of Applied Probability.

Research output: Contribution to journalArticle

Characterising random partitions by random colouring

Björnberg, J., Mailler, C., Mörters, P. & Ueltschi, D., 21 Dec 2019, (Accepted/In press) In : Electronic Communications in Probability.

Research output: Contribution to journalArticle

4 Downloads (Pure)

Random walks with preferential relocations and fading memory: a study through random recursive trees.

Mailler, C. & Uribe Bravo, G., 18 Sep 2019, In : Journal of Statistical Mechanics-Theory and Experiment. 2019, 9, p. 1-50 50 p., 093206.

Research output: Contribution to journalArticle

Open Access

Unbiased on lattice domain growth

Smith, C., Mailler, C. & Yates, K., 15 Oct 2019, (Accepted/In press) In : Physical Review E.

Research output: Contribution to journalArticle

2 Citations (Scopus)
19 Downloads (Pure)

And/or trees: a local limit point of view

Broutin, N. & Mailler, C., 1 Aug 2018, In : Random Structures and Algorithms. 53, 1, p. 15–58 44 p.

Research output: Contribution to journalArticle

Open Access
Boolean functions
Random Trees
Boolean Functions
Galton-Watson Tree