@bachelorsthesis{1997G,
  title={Monte-Carlo study of the planar spin model on a Sierpinski gasket},
  author={Robert Graham},
  month={April},
  year={1997},
  abstract={Two dimensional spin systems have been studied in great detail and the results
of these studies have provided a great deal of knowledge about how systems of
this type behave under a great variety of conditions. However, until recently,
systems whose lattices can be described by a network of fractional, or fractal,
dimensions have received little attention. In this paper, the results of a
Monte Carlo study of a fractal lattice, namely the Sierpinski gasket, are
presented. The Metropolis algorithm was used to perform a series of simulations
on Sierpinski gaskets of varying order. The model chosen was the ferromagnetic
planar spin model, in hopes of studying any unusual phase transitions that might
occur in the simulation, in particular, the Kosterlitz-Thouless (KT) transition.
Results of similar simulations on periodic square lattices have shown that a KT
transition does occur in those lattices. While the Sierpinski gasket is not truly
periodic, it is hoped that a similar effect will be seen.},
  note={Supervised by B. Mitrovic}
}