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Kramers-Moyal master equation
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Physics
Branch of physics
Mathematical biology
Kramers-Moyal expansion
Created
2026-09-24
Updated
2026-09-24
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For
a
jump process
with rate
W
(
n
,
r
)
from state
n
to
n
+
r
,
probability
balance
gives
∂
t
P
(
n
,
t
)
=
∑
r
[
P
(
n
−
r
,
t
)
W
(
n
−
r
,
r
)
−
P
(
n
,
t
)
W
(
n
,
r
)
]
.
(1)
The
first
term is inflow from
n
−
r
and the
second
is outflow from
n
.
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(5)
Kramers-Moyal expansion
Mathematical biology
Branch of physics
Physics
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(2)
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ii
/
Paper 3
/
6C
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
ii
/
Paper 3
/
13E
/
a
/
Solution
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