The year is 2004 and there are three large \"free trade zones\" in the world: As

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The year is 2004 and there are three large "free trade zones" in the world: Asia(A). Europe (E), and the Americans (R). Suppose certain multinational companies have total assets of $40 trillion of which $20 trillion is in E and $20 trillion is in R. each year half of the Americas' money stays home, a quarter goes to Europe, and a quarter goes to Asia. For Europe and Asia, half stays home and half goes to the Americas. Find the limiting distribution of the $40 trillion as the universe ends i.e. as k rightarrow + infinity (i.e, around the time the Cubs win a World series.)

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