Professor Matthias Winkel

Associate Professor of Probability

Bio

I studied in Münster and Manchester before doing my Ph.D. at the University of Paris 6 (now Sorbonne Université) under the supervision of Jean Bertoin. After a one-year pre- and post-doctoral stay in Aarhus working with Ole Barndorff-Nielsen, I joined the Department of Statistics at Oxford in April 2002.

Research Interests

  • Discrete and continuum random trees and forests, branching processes, superprocesses, tree-valued random processes

  • Exchangeability, random partitions, compositions, random hierarchies, interval partitions

  • Lévy processes, subordinators, time changes

Publications

Rembart, F. and Winkel, M. (2018) “Recursive construction of continuum random trees”, Annals of Probability, 46(5), pp. 2715–2748.
Forman, N., Pal, S., Rizzolo, D. and Winkel, M. (2018) “Uniform control of local times of spectrally positive stable processes”, Annals of Applied Probability, 28(4), pp. 2592–2634.
Forman, N., Pal, S., Rizzolo, D. and Winkel, M. (2018) “Interval partition evolutions with emigration related to the Aldous diffusion.”
Rembart, F. and Winkel, M. (2016) “A binary embedding of the stable line-breaking construction.”
Pitman, J. and Winkel, M. (2015) “Regenerative tree growth: Markovian embedding of fragmenters, bifurcators, and bead splitting processes”, The Annals of Probability, 43(5), pp. 2611–2646.
Eckhoff, M., Kyprianou, A. and Winkel, M. (2015) “Spines, skeletons and the strong law of large numbers for superdiffusions”, The Annals of Probability, 43(5), pp. 2545–2610.
He, H. and Winkel, M. (2014) “Invariance principles for pruning processes of Galton-Watson trees.”
Pitman, J., Rizzolo, D. and Winkel, M. (2014) “Regenerative tree growth: structural results and convergence”, ELECTRONIC JOURNAL OF PROBABILITY, 19.
Chen, B. and Winkel, M. (2013) “Restricted exchangeable partitions and embedding of associated hierarchies in continuum random trees”, ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 49(3), pp. 839–872.
Pitman, J., Rizzolo, D. and Winkel, M. (2012) “Regenerative tree growth processes”, Electronic Communications in Probability [Preprint].

Contact Details

College affiliation: Supernumerary Fellow at Brasenose College

Email: winkel@stats.ox.ac.uk

Office: 3.12

Web: www.stats.ox.ac.uk/~winkel

Research Groups

Probability

Graduate Students

David Geldbach

Matthew Buckland

Gabriel Flath