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Fellows Directory

Martin Barlow

Professor Martin Barlow FRS


Elected: 2005


Martin Barlow is noted for a variety of contributions to mathematical probability. His 1988 work with Ed Perkins on rigorous analysis of diffusions on fractals initiated a huge and continuing literature, creating an exciting interface between probability, mathematical analysis and geometry in areas such as Dirichlet forms and Harnack inequalities. Current work on random walks in irregular media promises similar impact.

His thesis work on the ‘expansion of filtrations’ remains relevant to contemporary mathematical finance; his precise analysis of continuity of local times for levy processes resolved longstanding open problems and stimulated work of others on Gaussian processes and local time.

Professional positions

Professor of Mathematics, Department of Mathematics, University of British Columbia
Interim Director, Pacific Institute for the Mathematical Sciences

Interests and expertise

Subject groups


fractal, Percolation, Random walk, random walk in random environment