Thick Points of the Gaussian Free Field

@inproceedings{Hua2009ThickPO,
  title={Thick Points of the Gaussian Free Field},
  author={Xia Qing Hua},
  year={2009}
}
Xia Hua The d − dimensional Gaussian free field (GFF) is a natural d − dimensional dimensional time analog of Brownian motion. It places an important role in statistical physics and the theory of random surfaces. This term paper will focus on the case where d = 2. Let D ⊂ C be a bounded domain with smooth boundary and C ∞ 0 (D) denote the set of smooth functions compactly supported in D. The Dirichlet inner product is defined by (f, g) = D f · gdx. Let H(D) denote the Hilbert space closure of C… CONTINUE READING

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