Research
My papers on arXiv
Talks:
Interval partition evolutions related to Poisson-Dirichlet distributions, as given at Bernoulli-IMS One World Symposium 2020. Sides.
Ornstein-Uhlenbeck type growth-fragmentations, as given at the fifth Bath-Beijing-Paris Branching Structures Meeting, May 2018.
Mini-course on growth-fragmentation processes, as given at BUC-IX, CIMAT, December 2017. Lecture notes
Growth-fragmentation processes and bifurcators, 30 min, as given at 12th German Probability and Statistics Days, Bochum, 4 March 2016.
Publications and preprints:
A necessary and sufficient condition for the convergence of the derivative martingale in a branching Lévy process, (with Bastien Mallein), Arxiv:2105.07919.
Up-down ordered Chinese restaurant processes with two-sided immigration, emigration and diffusion limits, (with Matthias Winkel), Arxiv:2012.15758.
Two-sided immigration, emigration and symmetry properties of self-similar interval partition evolutions, (with Matthias Winkel), Arxiv:2011.13378.
Diffusions on a space of interval partitions: The two-parameter model, (with Noah Forman, Douglas Rizzolo, Matthias Winkel), Arxiv:2008.02823.
A two-parameter family of measure-valued diffusions with Poisson-Dirichlet stationary distributions, (with Noah Forman, Douglas Rizzolo, Matthias Winkel), Arxiv:2007.05250.
Probability tilting of compensated fragmentations, (with Alex Watson), Electron. J. Probab. Volume 24 (2019), paper no. 78, 39 pp. Arxiv:1707.00732 .
A growth-fragmentation model related to Ornstein-Uhlenbeck type processes, Ann. Inst. H. Poincaré Probab. Statist. Volume 56, Number 1 (2020), 580-611. Arxiv:1702.01091.
Growth-fragmentation processes and bifurcators, Electron. J. Probab. Volume 22 (2017), paper no. 15, 25 pp. Arxiv: 1603.08495.
On the number of large triangles in the Brownian triangulation and fragmentation processes, Stochastic Processes and their Applications 125 (2015), no. 11, pp. 4321-4350. Arxiv:1411.4009.
PhD Thesis:
Fragmentations, growth-fragmentations, and random structures Defended on 04 October 2016 at Zürich, Switzerland.