Projects per year

## 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 Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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## Projects 2018 2021

- 1 Active

## Research Output 2015 2019

- 9 Article

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

Mailler, C. & Uribe Bravo, G., 18 Feb 2019, (Accepted/In press) In : Journal of Statistical Mechanics-Theory and Experiment.Research output: Contribution to journal › Article

### 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 journal › Article

### 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 journal › Article

### 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. 254-281Research output: Contribution to journal › Article

### 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 journal › Article