Transition probabilities: Random walk
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A key link between wavelets and fractals on the analysis side and random walk on the probability side is to be found in the use of filters from signal processing. For the standard dyadic wavelets on the real line, we already sketched this approach in Chapter 1. Stepping back and taking a more general and systematic view of the underlying idea, one sees that in a real sense it is (almost) ubiquitous in both pure and applied mathematics.
KeywordsRandom Walk Harmonic Function Invariant Measure Radon Measure Boundary Representation
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