The circle-average process of a zero-boundary Gaussian free field in the unit disc has the law of a constant multiple of Brownian motion. It is a continuous centered Gaussian process with stationary increments and independent increments and starts at zero.

Ancestors (12)

  1. Circle-average process of the 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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