Biography:Ron Doney
Ron Doney | |
|---|---|
| Born | Ronald Arthur Doney |
| Alma mater | Durham University |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Manchester |
| Thesis | Some problems on random walks (1964) |
| Doctoral advisor | G. E. H. Reuter |
Ronald Arthur Doney is a British mathematician. He is Emeritus Professor of Mathematics at the University of Manchester and a specialist in probability theory.[1]
Doney completed his PhD at Durham University in 1964 under the supervision of G. E. H. Reuter.[2] He worked briefly at the University of East Anglia, before joining Imperial College London as a lecturer in 1965. In 1970, he moved to the University of Manchester, where he spent the remainder of his academic career.[3]
In the mid-1970s, Doney published a series of papers on the growth properties of general branching processes, and often collaborated with Nicholas Bingham.[3] From 1977 onward, he returned primarily to the study of random walks.[3]
During the 1990s, he had a 'relatively intense' collaboration with French probabilist Jean Bertoin. This emerged from Bertoin noticing Doney’s 1991 paper on Lévy processes in the Journal of the London Mathematical Society. They eventually co-authored seven papers on conditioned random walks, six of which appeared between 1994 and 1997.[3]
Selected publications
- Bingham, N.H.; Doney, R.A. (1974). "Asymptotic properties of supercritical branching processes I: The Galton–Watson process". Advances in Applied Probability 6 (4): 711–731. doi:10.2307/1426188.
- Doney, R.A. (1991). "Hitting probabilities for spectrally positive Lévy processes". Journal of the London Mathematical Society 44 (3): 566–576. doi:10.1112/jlms/s2-44.3.566.
- Bertoin, J.; Doney, R.A. (1994). "On conditioning a random walk to stay nonnegative". The Annals of Probability. doi:10.1214/aop/1176988497. https://www.researchgate.net/profile/Ron-Doney/publication/226629397_On_conditioning_random_walks_in_an_exponential_family_to_stay_nonnegative/links/02e7e517bacb817ab7000000/On-conditioning-random-walks-in-an-exponential-family-to-stay-nonnegative.pdf.
- Bertoin, J.; Doney, R.A. (1996). "Some asymptotic results for transient random walks". Advances in Applied Probability 28 (1): 207–226. doi:10.2307/1427918.
- Doney, R.A. (2012). "Local behaviour of first passage probabilities". Probability Theory and Related Fields 152: 559–588. doi:10.1007/s00440-010-0330-7. https://link.springer.com/content/pdf/10.1007/s00440-010-0330-7.pdf.
References
- ↑ "Academic and research staff (A-Z) - Department of Mathematics". University of Manchester. https://www.maths.manchester.ac.uk/about/people/academic-and-research-staff/.
- ↑ Ronald Arthur Doney (1964). Some problems on random walks (PDF) (Thesis). Durham University.
- ↑ 3.0 3.1 3.2 3.3 Chaumont, Loïc; Kyprianou, Andreas E., eds (2021). "A Lifetime of Excursions Through Random Walks and Lévy Processes". Progress in Probability 78: 1–4. https://arxiv.org/pdf/2112.10257. Retrieved 1 August 2025.
External links
- Ron Doney publications indexed by Google Scholar
