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649

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ahhh stocastic processes

[0.2105,0.7895]

sorry for the late reply i couldnt get the site to load for over half an hour lol

lol thank you anon, im very flattered.

Id you need an eplination of the answer i can provide it :)

*if you need and explination

might be able to do maths but cant spell lol

well the P matrix stated determines the time evoution of the system in terms of probabalistic two state transitions

there for we are looking for a vector state that when multiplied by this time evolution will give the same vector state back, thus being a static state vector

ie. T1 = T1 P11 + T2 P21 and T2 = T1 P12 + T2 P22

where [T1, T2] are the components of the static vector
Pij the components of the P matrix ie. P =[p11, p12]
[p21, p22]

also as the T vector is a probablilty of defined states T1 + T2 = 1

So you have three equations
T1 = T1 P11 + T2 P21
T2 = T2 P12 + T2 P22
T1 + T2 = 1

substituting in the values of the P’s makes the equations trivial to solve

giving T1=0.2105 and T2= 0.7895

Hope that helps :)