New papers by Dr. Kenneth Falconer



http://www.mcs.st-andrews.ac.uk/~kenneth/papers.html
Dimensions of intersections and distance sets for polyhedral norms; Real Analysis Exchange,30(2005),719--726.

(with J. O'Connor) Symmetry and enumeration of self-similar fractals.

Preprints
(with C. Fernández) Inference on fractal processes using multiresolution approximation.

(with Y. Demichel) The Hausdorff dimension of pulse-sum graphs.

(with J. Miao) Dimensions of self-affine fractals and multifractals generated by upper-triangular matrices.

(with J. Lévy Véhel) Multifractional, multistable, and other processes with prescribed local form.
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Relevant Pages

  • Re: Dynamical Systems and Expansion-Contraction
    ... >>From Osher Doctorow ... originally published as Fractals: Dimensions non-entieres et ... which associates with each word W a point in R^d, a substitution theta: ...
    (sci.physics)
  • Re: dimensions ( negative or complex)
    ... > We all know about fractals which have positive fractional dimensions.. ... > Do there exist exotic mathematical objects with negative dimenstions.. ...
    (sci.math)