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Why Is the Key To Blumenthals 0 1 law

If

X

Click This Link {\displaystyle X}

has Markov property with respect to the filtration

{

F

t

+

}

t

0

{\displaystyle \{{\mathcal {F}}_{t^{+}}\}_{t\geq 0}}

then any event

F

0
+

X

{\displaystyle \Lambda \in {\mathcal {F}}_{0+}^{X}}

has either

P

(

)
=
read this 0

{\displaystyle \mathbb {P} (\Lambda )=0}

or

P

(

)
=
1. .