Kenneth J. Falconer

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Kenneth John Falconer (* 1952 ) is a British mathematician who mainly deals with fractal geometry , geometric measurement theory and combinatorial geometry. He is a professor at St. Andrews University . In 2018 he was appointed Regius Professor of Mathematics to succeed Igor Rivin .

Falconer studied at Cambridge University , where he received his doctorate from Hallard Croft in 1979 ( Properties of Convex Sets and Functions Determined by Sectional Integrals ). He was a lecturer and reader at the University of Bristol before becoming a professor at St. Andrews in 1993.

It deals with geometric properties (such as values ​​of dimension) fractal sets, such as B. occur in dynamic systems. In 1987 he proposed the existence of a digital sundial, sets that allow projections in any direction ( popularized by Ian Stewart ). He studied random processes (such as percolation ) and nonlinear partial differential equations on fractals. Falconer's unsolved conjecture says: if a compact subset S of the d-dimensional Euclidean space of a Hausdorff dimension is greater than , then the set of distances between points in S has positive Lebesgue measure .

In 1999 he organized a month-long program on fractals at the Isaac Newton Institute . He was visiting professor at Oregon State University and the Australian National University , among others .

In 1998 he became a Fellow of the Royal Society of Edinburgh .

He is co-editor of Advances in Mathematics and Fractals.

Fonts

  • with Hallard Croft, Richard K. Guy Unsolved problems in geometry , Springer Verlag 1994.
  • Fractal Geometry - Mathematical Foundations and Applications , 1990, 2nd edition, Wiley 2003.
  • Techniques in Fractal Geometry , Wiley 1997.
  • The Geometry of Fractal Sets , Cambridge Tracts in Mathematics; 85, Cambridge University Press 1985.

Web links

Individual evidence

  1. ^ A b c Brian Donnelly: Queen appoints St Andrews professor as Regius Chair in Mathematics. In: The Herald. HeraldScotland.com, February 20, 2018, accessed March 15, 2018 .
  2. ^ Mathematics Genealogy Project
  3. ↑ Realized and marketed by the inventors Hans Scharstein, Daniel Scharstein and Werner Krotz-Vogel in Germany, with a first prototype in 1994, Digital Sundial
  4. ↑ His article On the Hausdorff dimensions of distance sets , Mathematika, Volume 32, 1986, pp. 206–212, is often cited, in which the assumption is not formulated.
personal data
SURNAME Falconer, Kenneth J.
ALTERNATIVE NAMES Falconer, Kenneth John (full name)
BRIEF DESCRIPTION British mathematician
DATE OF BIRTH 1952