Robin Lyth Hudson

Robin Lyth Hudson was a British mathematician notable for his contribution to quantum probability.

Robin Lyth Hudson
A plenary talk at the EPSRC-LMS-IMA Conference 'Hilbert's sixths problem' in Leicester, May 3, 2016.[1]
Born4th May 1940
Died12th January 2021
Alma materUniversity of Oxford
Scientific career
FieldsMathematics
InstitutionsLoughborough University
Doctoral advisorJohn Trevor Lewis

Research

Robin Lyth Hudson received his Ph.D. from University of Oxford in 1966 under John Trevor Lewis with the Dissertation being Generalised Translation-Invariant Mechanics. He collaborated with K. R. Parthasarathy first in University of Manchester, and later at University of Nottingham and at Loughborough University, on their seminal work in quantum stochastic analysis.[2][3][4]

Research

His selected works published in major journals:

  • Hudson, Robin Lyth; K. R. Parthasarathy (1984). "Quantum Ito's formula and stochastic evolutions". Communications in Mathematical Physics. 93 (3): 301–323. Bibcode:1984CMaPh..93..301H. doi:10.1007/bf01258530. S2CID 122848524. Archived from the original on 2015-10-28.
  • Hudson, Robin Lyth (1974). "When is the Wigner quasi-probability density non-negative?". Reports on Mathematical Physics. 6 (2): 249–252. Bibcode:1974RpMP....6..249H. doi:10.1016/0034-4877(74)90007-x.

References
  1. Robin Hudson, "A short walk in quantum probability," Phil. Trans. R. Soc. A 376 (2118) 20170226, 2018; doi:10.1098/rsta.2017.0226.
  2. by D Applebaum. "Robin Hudson's Pathless Path to Quantum Stochastic Calculus" (PDF). Archived from the original (PDF) on 2016-03-04.
  3. by Jinqiao Duan; Shunlong Luo; Caishi Wang (2010). Recent development in stochastic dynamics and stochastic analysis. World Scientific. p. preface-x. ISBN 978-9814277266.
  4. by KR Parthasarathy. "Quantum Stochastic Calculus". Archived from the original on 2012-07-28.


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