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

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Projects 2018 2021

Fellowship - Random trees: analysis and applications

Mailler, C.

1/06/1831/05/21

Project: Research council

Research Output 2015 2018

And/or trees: a local limit point of view

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

Research output: Contribution to journalArticle

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

Research output: Contribution to journalArticle

Open Access
File
Stochastic Approximation
Replacement
Ball
Affine transformation
Second-order Asymptotics

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
Ball
Measure-valued Process
Converge
Branching Random Walk
Polish Space
1 Citations

Non-extensive condensation in reinforced branching processes

Dereich, S., Mailler, C. & Morters, P. Aug 2017 In : Annals of Applied Probability. 27, 4, p. 2539-2568 30 p.

Research output: Contribution to journalArticle

Open Access
File
Branching process
Condensation
Fitness
Preferential Attachment
Urn model
1 Citations

Condensation and symmetry-breaking in the zero-range process with weak site disorder

Mailler, C., Morters, P. & Ueltschi, D. 1 Nov 2016 In : Stochastic Processes and their Applications. 126, 11, p. 3283-3309 22 p.

Research output: Contribution to journalArticle

Open Access
File
Zero-range Process
Condensation
Symmetry Breaking
Disorder
Condensate