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Research at St Andrews

Kenneth John Falconer

Person

Kenneth John Falconer
Postal address:
School of Mathematics and
Statistics
North Haugh
St Andrews
United Kingdom

Email: kjf@st-andrews.ac.uk

Web address: http://www-maths.mcs.st-andrews.ac.uk/~kenneth/index.html

Direct phone: +44 (0)1334 463733

Research overview

My current research falls within the broad area of mathematical analysis, and is concentrated around the geometry of fractals and multifractals and related topics. Recent work includes fractal and dimensional analysis of classes of sets and measures, including self-affine sets and measures and vector-valued measures; geometrical properties (such as projections and intersections) of Hausdorff and packing measures and dimensions; fractals in dynamical systems, fractal aspects of stochastic processes; partial differential equations on fractal domains; applications of fractals including to rainfall distributions and ecology

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