20152021

Research output per year

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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.

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Projects

Research Output

Characterising random partitions by random colouring

Björnberg, J., Mailler, C., Mörters, P. & Ueltschi, D., 2020, In : Electronic Communications in Probability. 25, 4.

Research output: Contribution to journalArticle

Open Access
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1 Downloads (Pure)

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

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
File
8 Downloads (Pure)

Unbiased on lattice domain growth

Smith, C., Mailler, C. & Yates, K., 19 Dec 2019, In : Physical Review E. 100, 6, 063307.

Research output: Contribution to journalArticle

Open Access
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2 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
File
  • 2 Citations (Scopus)
    21 Downloads (Pure)

    Thesis

    Competing Growth Processes with Applications to Networks

    Author: Senkevich, A., 19 Feb 2020

    Supervisor: Mailler, C. (Supervisor) & Morters, P. (Supervisor)

    Student thesis: Doctoral ThesisPhD

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