Ron Doney
British mathematician
From Wikipedia, the free encyclopedia
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]
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 |
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" (PDF). The Annals of Probability. doi:10.1214/aop/1176988497.
- 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" (PDF). Probability Theory and Related Fields. 152: 559–588. doi:10.1007/s00440-010-0330-7.