NYUSH


Research interests :
I work mainly on two things: random trees of both the continuous and discrete kind, and random fragmentation and growth-fragmentation processes, processes which describe a cell evolving and splitting in smaller cells, which themselves split in smaller cells and so on. I have particularly worked on the intersection between those two fields, namely fragmentation trees, which model the genealogy of the aforementioned fragmentation processes. Additionally, I have also worked on random planar maps.

I defended my PhD thesis "Various aspects of random trees: from fragmentation trees to infinite planar maps" on June 27, 2014. The thesis itself (main text in English, introduction in French) is available here.

I am a member of the GRAAL ANR project.

Articles and preprints:
- General fragmentation trees, Electron. J. Probab., 18(101) (2013), pp. 1-45.
- Scalar limits of k-ary growing trees, Ann. Inst. H. Poincaré Probab. Statist., 51(4),pp.1314-1341, 2015. With Bénédicte Haas.
- Local convergence of large critical multi-type Galton-Watson trees and applications to random maps, to appear in Journal of Theoretical Probability.
- Local explosion in self-similar growth-fragmentation processes, Electron. Commun. Probab., Volume 21 (2016), paper no. 66, 12 pp. With Jean Bertoin.
- Bivariate Markov chains converging to Lamperti transform Markov Additive Processes, 2016. With Bénédicte Haas
-On the exponential functional of Markov Additive Processes, and applications to multi-type self-similar fragmentation processes and trees, 2017.

A few talks I have given :
- Introduction to random discrete and continuum random trees.
- Scalar limits of k-ary growing trees.
- Local Limits of Multi-type Galton-Watson Trees and Applications to Random Maps.
- Convergence of bivariate Markov chains to multi-type self-similar processes, and applications to scaling limits of some random trees.





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