A continuum field level line is specified by the harmonic boundary heights it creates and the conditional zero-boundary field remaining on each side. Since a Continuum Gaussian free field is a random distribution, this is not the pointwise set of its zeros. For the height jump appropriate to the Green-function normalization, the zero-height line between opposite Dirichlet heights is chordal .

Ancestors (12)

  1. SLE4 coupling with a Gaussian free field
  2. Zero-boundary Gaussian free field
  3. Continuum Gaussian free field
  4. Gaussian free field
  5. Gaussian random field
  6. Gaussian process
  7. Stochastic process
  8. Probability theory
  9. Probability and statistics
  10. Area of mathematics
  11. Mathematics
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