Random Fractals and the Stock Market

Random Fractal Cartoons - Basic Construction

The basic construction is an instance of initiators and generators.

We take

the initiator to be the line segment from (0,0) to (1,1), and

the generator to be a broken line from (0,0) to (1,1) and with turning points (a,b) and (c,d).

The space and time increments are

dY1 = b - 0 = b dY2 = d - b dY3 = 1 - d dt1 = a - 0 = a dt2 = c - a dt3 = 1 - c

The only variation on the standard initiator-generator construction is the introduction of an element of randomness, as we shall see.

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