Friday, February 4, 2011

Combining distribution networks with a common channel

 We need a method which can overlay the two partially coherent channels  by addition, a method to deal with independent sectors in Economic Channel Theory.  So, in my usual fashion I search the web and find Bivariate Fibonacci polynomials here. Take two distribution networks, overlay them, as if designing a trucking company serve two customer networks and with a minimum redundancy warehousing. network  We get an incidence algebra, tor better understood, a graph algebra, the same kind of algebra that generates the Young-Fibonacci tree.

So we have two yield Curve, Z,Y representing the least redundant generation of channel rates, we want Z+Y, and we don't mind going through a recursive sequence to generate the new rate sequence. I think I will check these out in some detail. Mario Catalini is the hero mathematicians that defined this theory in 2002.

I think these might do the trick.  I would be interested in the result, say, when the banking network has to deal with an explosion of debt from government and the private sector, how does the combined Fibonacci sequence cause distortion in the one or the other, how does government crowd us out in channel theory.

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