Martin T. Barlow

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Martin Thomas Barlow (born June 16, 1953 in London ) is a British mathematician who deals with probability theory.

Barlow studied at Cambridge University (Trinity College) with a diploma in 1976 and received his doctorate in 1978 from University College Wales in Swansea with David Williams ( Honest times and Martingale Representation ). 1978 to 1980 was at the University of Liverpool and from 1979 to 1992 at the University of Cambridge, where he was a Fellow of Trinity College and from 1985 Royal Society Research Fellow. He then became a professor at the University of British Columbia .

He was u. a. Visiting professor at the Universities of Tokyo and Paris, Imperial College London, the University of Bonn and Cornell University .

In the 1980s he (partly with J. Hawkes) solved an old problem of probability theory of specifying necessary and sufficient conditions for the continuity of local times in Levy processes.

He is particularly concerned with Brownian motion and diffusion on fractal sets and in disordered media. This includes pioneering work in part with Edwin A. Perkins and Richard Bass on diffusion on the Sierpinski carpet (which serves as a prototype of fractal sets) from the 1980s. His work also had applications in (stochastic) partial differential equations and, for example, in financial mathematics.

He is a Fellow of the Royal Society of Canada (1998), the Royal Society (2006), the Institute of Mathematical Statistics (1995) and the American Mathematical Society (2012). In 2009 he received the CRM Fields PIMS Prize , the Jeffery Williams Prize in 2008 , the Whitehead Prize in 1990 and the Rollo Davidson Prize in 1984 . He was a lecturer in the St. Flour summer school on probability theory and invited speaker at the International Congress of Mathematicians in Kyoto 1990 ( Random walks and diffusion on fractals ).

Fonts

  • Lectures on probability theory and statistics, Springer Verlag 1998 (Sommerschule St. Flour 1995)
  • with Edwin Perkins, SJ Taylor The behavior and construction of local time for Levy processes , Seminar on Stochastic Processes 1984, Birkhäuser, Boston 1986, pp. 23–54

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ^ Barlow, Perkins Brownian motion on the Sierpinski gasket , Prob. Theory and Related Fields, Volume 79, 1988, pp. 543-623
  3. ↑ MT Barlow, RF Bass Brownian motion and harmonic analysis on Sierpinski carpets , Canadian J. Math., Vol. 50, 1999, pp. 673-744, Bass, Barlow Random walks on graphical Sierpinski carpets , in M. Picardello, M. Woess (Editor) Random walks and discrete potential theory , Cambridge University Press 1999
  4. ↑ For example, on Ennio de Giorgi's conjecture about solutions to the Allen-Cahn equation
  5. ↑ Laudatory speech
personal data
SURNAME Barlow, Martin T.
ALTERNATIVE NAMES Barlow, Martin Thomas (full name)
BRIEF DESCRIPTION British mathematician
DATE OF BIRTH June 16, 1953
PLACE OF BIRTH London