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  • A commutative noncommutative fractal geometry 

    Samuel, Anthony (University of St Andrews, 2010) - Thesis
    In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained. Firstly, starting with Connes' spectral triple for a non-empty ...
  • Wild attractors and thermodynamic formalism 

    Bruin, Henk; Todd, Michael John (2015-09) - Journal article
    Fibonacci unimodal maps can have a wild Cantor attractor, and hence be Lebesgue dissipative, depending on the order of the critical point. We present a one-parameter family ƒλ of countably piecewise linear unimodal Fibonacci ...