| Citation | 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 partial differential equations promises similar future impact. His thesis work on "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. |