takes (where S_i is the ith step taken):

: ; due to a priori equal probabilities
:

The second quantity is known as the correlation function. The delta is the kronecker delta which tells us that if the indices i and j are different, then the result is 0, but if i = j then the kronecker delta is 1, so the correlation function returns a value of b². This makes sense, because if i = j then we are considering the same

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