Level Lines of Gaussian Free Field I: Zero-Boundary GFF

@article{Wang2014LevelLO,
  title={Level Lines of Gaussian Free Field I: Zero-Boundary GFF},
  author={Menglu Wang and Hao Wu},
  journal={arXiv: Probability},
  year={2014}
}
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46 Citations
Highly Influential Citations
4
Background Citations
16
Methods Citations
4
Results Citations
2

46 Citations

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Level lines of the Gaussian Free Field with general boundary data

We study the level lines of a Gaussian free field in a planar domain with general boundary data $F$. We show that the level lines exist as continuous curves under the assumption that $F$ is regulated…

Level Lines of Gaussian Free Field II: Whole-Plane GFF

We study the level lines of GFF starting from interior points. We show that the level line of GFF starting from an interior point turns out to be a sequence of level loops. The sequence of level…

SLE and the free field: partition functions and couplings

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