Robin Lyth Hudson

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Robin Lyth Hudson

Robin Lyth Hudson (* 1940 in Aberdeen ) is a British mathematician . He is one of the pioneers of quantum stochastics (non-commutative probability theory).

Hudson received his doctorate in 1966 with John Trevor Lewis at the University of Oxford . ( Generalized Translation-Invariant Mechanics ) He was a professor at the University of Nottingham and is a professor at Loughborough University .

He worked with KR Parthasarathy (then in Manchester and Nottingham) on pioneering work on quantum stochastics. Her basic essay appeared in 1984. It deals with quantum versions of stochastic integrals, the Ito formula and the existence and uniqueness of linear quantum stochastic differential equations. He published his first work in quantum stochastics in 1971 with his doctoral student Clive Cushen. He also worked with math physicist Ray Streater .

Most recently he has been working on the quantization of Lie bialgebras.

Fonts

  • with KR Parthasarathy Quantum Ito's formula and stochastic evolutions , Communications in Mathematical Physics, Volume 93, 1984, 301–323
  • with Parthasarathy Construction of quantum diffusions , in Quantum probability and applications to the quantum theory of irreversible processes , Villa Mondragone 1982, Lectures Notes in Mathematics 1055, Springer Verlag 1984
  • with Benoît Mandelbrot The (mis) behavior of markets , The Mathematical Intelligencer , Volume 27, 2005, pp. 77-79

Web links

Individual evidence

  1. ^ Who´s who in European Research and Development, Saur 1997
  2. ^ Mathematics Genealogy Project
  3. David Applebaum Robin Hudson's pathless path to quantum stochastic calculus , pdf ( Memento of the original from March 4, 2016 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / www.applebaum.staff.shef.ac.uk
  4. Cushen, Hudson A quantum mechanical central limit theorem , J. Appl. Prob., Vol. 8, 1971, pp. 454-469