| 词条 | Rollo Davidson |
| 释义 |
Rollo Davidson (b. Bristol, 8 October 1944, d. Piz Bernina, 29 July 1970) was a probabilist, alpinist, and Fellow-elect of Churchill College, Cambridge, who died aged 25 on Piz Bernina. He is known for his work on semigroups, stochastic geometry, and stochastic analysis,[1] and for the Rollo Davidson Prize, given in his name to young probabilists. LifeAt the time of Rollo's birth, Davidson's parents lived in The Chantry, Thornbury, Gloucestershire. His mother was Priscilla (née Chilver); his father, Brian Davidson, won a prize at Oxford for his study of classics, was president of the Oxford Union, and worked as a solicitor before becoming an executive with the Bristol Aeroplane Company.[1] Rollo Davidson attended Winchester College before studying mathematics at Trinity College, Cambridge, from 1962 and becoming a research fellow there in 1967.[2] He completed his PhD in 1968, under the supervision of David George Kendall.[3] He continued at Cambridge as assistant lecturer, lecturer, and in 1970 fellow-elect. He died in a mountain climbing accident in 1970.[2] ContributionsIn stochastic geometry, Davidson is known for introducing the study of line processes, which he modelled as point processes on spaces of parameters of lines.[4] The second winner of the Rollo Davidson Prize, Olav Kallenberg, won the prize for settling (negatively) a conjecture on line processes posed by Davidson in his thesis.[5] In stochastic analysis, also, Davidson has been described as a "remarkably original mathematician" who left a legacy of "tantalising unsolved problems".[6] He particularly studied Delphic semigroups, a class of topological semigroups introduced by his advisor to study renewal sequences;[7] {{harvtxt|Ruzsa|Székely|1988}} write that, despite the many applications of these semigroups, Davidson was "the only one to contribute seriously to Delphic theory" after Kendall, and that "his untimely death certainly deprived this theory of interesting developments".[8] LegacyIn 1975 a fund was established at Churchill College in his memory, endowed initially through the publication in his honour of two volumes[9] of papers, edited by E. F. Harding and D. G. Kendall.[10] A prize from the Rollo Davidson Trust Fund has been awarded annually since 1976 to young probabilists.[11] See also
References1. ^The Chantry: The Later History, Thornbury Roots. Retrieved 26 March 2015. 2. ^1 2 Rollo Davidson: 1944–1970. Reprinted from {{harvtxt|Kendall|Harding|1973}} pp. 449–452 and {{harvtxt|Harding|Kendall|1974}} pp. 381–384. 3. ^{{mathgenealogy|id=101366}} 4. ^{{citation | last = Ripley | first = B. D. | issue = 6 | journal = The Annals of Probability | jstor = 2242958 | mr = 0474454 | pages = 995–998 | title = The foundations of stochastic geometry | volume = 4 | year = 1976 | doi=10.1214/aop/1176995942}}. 5. ^{{citation | last = Kallenberg | first = Olav | doi = 10.1017/S0305004100053949 | issue = 2 | journal = Mathematical Proceedings of the Cambridge Philosophical Society | mr = 0451399 | pages = 301–307 | title = A counterexample to R. Davidson's conjecture on line processes | volume = 82 | year = 1977}}. 6. ^{{citation | last = Kingman | first = J. F. C. | department = Stochastic methods and their applications | doi = 10.1239/jap/1082552209 | journal = Journal of Applied Probability | jstor = 3215987 | mr = 2057584 | pages = 333–346 | title = Extremal problems for regenerative phenomena | volume = 41A | year = 2004}}. 7. ^{{citation | last = Kendall | first = David G. | doi = 10.1090/S0002-9904-1967-11673-2 | journal = Bulletin of the American Mathematical Society | mr = 0203767 | pages = 120–121 | title = Delphic semigroups | volume = 73 | year = 1967}}. 8. ^{{citation | last1 = Ruzsa | first1 = Imre Z. | author1-link = Imre Z. Ruzsa | last2 = Székely | first2 = Gábor J. | author2-link = Gábor J. Székely | isbn = 0-471-91803-2 | location = Chichester | mr = 974112 | page = 61 | publisher = John Wiley & Sons, Ltd. | series = Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics | title = Algebraic probability theory | year = 1988}}. 9. ^{{harvtxt|Kendall|Harding|1973}}; {{harvtxt|Harding|Kendall|1974}} 10. ^Rollo Davidson Trust 11. ^Rollo Davidson Awards Further reading
| last1 = Kendall | first1 = D. G. | last2 = Harding | first2 = E. F. | location = London-New York-Sydney | mr = 0350791 | publisher = John Wiley & Sons | series = Wiley Series in Probability and Mathematical Statistics | title = Stochastic Analysis: A tribute to the memory of Rollo Davidson | year = 1973}}.
| last1 = Harding | first1 = E. F. | last2 = Kendall | first2 = D. G. | location = London-New York-Sydney | mr = 0350792 | publisher = John Wiley & Sons | series = Wiley Series in Probability and Mathematical Statistics | title = Stochastic Geometry: A tribute to the memory of Rollo Davidson | year = 1974}}.{{Authority control}}{{DEFAULTSORT:Davidson, Rollo}} 11 : Probability theorists|1944 births|1970 deaths|People from Bristol|People educated at Winchester College|Alumni of Trinity College, Cambridge|Fellows of Trinity College, Cambridge|Churchill College, Cambridge|Mountaineering deaths|20th-century mathematicians|English mathematicians |
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