Now showing items 1-4 of 4

  • Assouad type dimensions and homogeneity of fractals 

    Fraser, Jonathan M. (2014-12) - Journal article
    We investigate several aspects of the Assouad dimension and the lower dimension, which together form a natural 'dimension pair'. In particular, we compute these dimensions for certain classes of self-affine sets and ...
  • Dimension and measure for generic continuous images 

    Balka, Richard; Farkas, Abel; Fraser, Jonathan M.; Hyde, James T. (2013) - Journal article
    We consider the Banach space consisting of continuous functions from an arbitrary uncountable compact metric space, X, into R-n. The key question is 'what is the generic dimension of f(X)?' and we consider two different ...
  • Inhomogeneous self-similar sets and measures 

    Snigireva, Nina (University of St Andrews, 2008) - Thesis
    The thesis consists of four main chapters. The first chapter includes an introduction to inhomogeneous self-similar sets and measures. In particular, we show that these sets and measures are natural generalizations of ...
  • On simultaneous local dimension functions of subsets of Rd 

    Olsen, Lars Ole Ronnow (2015-09-30) - Journal article
    For a subset E ⊑ Rd and x ∈ Rd, the local Hausdorff dimension function of E at x and the local packing dimension function of E at x are defined by (Formula presented.) where dimH and dimP denote the Hausdorff dimension and ...