 Zero-boundary Gaussian free field

ID: zero-boundary-gaussian-free-field

ρ, ν

of finite Green energy, the zero-boundary Gaussian free field

h

D

is characterized by

E [(h, ρ) (h, ν)] = \iint_{D \times D} G_{D} (x, y) ρ (d x) ν (d y),

where

G_{D}

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