Conformal dimension : Cantor sets and moduli

  title={Conformal dimension : Cantor sets and moduli},
  author={Hrant Hakobyan August},
  • Hrant Hakobyan August
  • Published 2008
In this paper we give several conditions for a space to be minimal for conformal dimension. We show that there are sets of zero length and conformal dimension 1 thus answering a question of Bishop and Tyson. Another sufficient condition for minimality is given in terms of a modulus of a system of measures in the sense of Fuglede [5]. r ≤ λ(E ∩ B(x, r)) (0.1… CONTINUE READING