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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 2019

1 Citation (Scopus)
10 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

Balanced multicolour Pólya urns via smoothing systems analysis

Mailler, C., 1 Jan 2018, In : Alea. 15, 1, p. 375-408 34 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
23 Downloads (Pure)

Multiple drawing multi-colour urns by stochastic approximation

Lasmar, N., Mailler, C. & Selmi, O., 1 Mar 2018, In : Journal of Applied Probability. 55, 1, p. 254-281 28 p.

Research output: Contribution to journalArticle

Open Access
Stochastic Approximation
Affine transformation
Second-order Asymptotics
1 Citation (Scopus)

Measure-valued Pólya processes

Mailler, C. & Marckert, J-F., 21 Mar 2017, In : Electronic Journal of Probability. 22, 33 p., 26.

Research output: Contribution to journalArticle

Open Access
Measure-valued Process
Branching Random Walk
Polish Space