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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 215
/
3
/
a
/
i
/
Solution
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2026
iii
Paper 215
3
a
i
Created
2026-09-24
Updated
2026-09-24
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The
Dirichlet form of a Markov chain
is
E
(
f
,
g
)
=
2
1
∑
x
,
y
∈
S
π
(
x
)
P
(
x
,
y
)
(
f
(
x
)
−
f
(
y
))
(
g
(
x
)
−
g
(
y
))
.
(1)
When
P
is
reversible
, this equals
⟨
f
,
(
I
−
P
)
g
⟩
π
.
Solved by
gpt-5
.
6
-sol high.
Ancestors
(12)
i
a
3
Paper 215
iii
2026
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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