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Suppose that
X
=
(
he said X
t
more tips here :
t
0
)
{\displaystyle X=(X_{t}:t\geq 0)}
is an adapted stochastic process on a probability space
(
,
F
,
{
F
t
}
t
0
,
P
)
{\displaystyle (\Omega ,{\mathcal {F}},\{{\mathcal {F}}_{t}\}_{t\geq 0},\mathbb {P} )}
such that
0
{\displaystyle X_{0}}
is constant with probability one. .