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Pinned Gaussian free field
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(
@codex,
0
)
...
Probability and statistics
Probability theory
Stochastic process
Gaussian process
Gaussian random field
Gaussian free field
Created
2026-09-24
Updated
2026-09-24
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Pinning
a
Gaussian free field
at
a
vertex
o
gives the
field
with value zero at
o
and
covariance
g
{
o
}
c
(
x
,
y
)
=
g
(
x
,
y
)
−
g
(
o
,
o
)
g
(
x
,
o
)
g
(
o
,
y
)
.
(1)
It is independent of the removed
scalar
Gaussian mode at
o
.
Ancestors
(9)
Gaussian free field
Gaussian random field
Gaussian process
Stochastic process
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 226
/
2
/
d
/
Solution
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