More on Random Walks: Circuits and a Tired Drunkard
The general formula for the probability P N (x) for a particle to be found at position x after N steps, obtained in the last chapter [see Eq. (23.30)], depends on the dimension of space D in which the random walk takes place. (It also depends on the geometry of the lattice, but for simplicity, we will only consider cubic lattice in D-dimensions.)
KeywordsRandom Walk Singular Behaviour Effective Resistance Golden Ratio Resistor Network
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