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The zero-one law for planar random walks in i.i.d. random environments revisited
zero-one law random walk ergodic property
2009/3/30
In this note we present a simplified proof of the zero-one law by Merkl and Zerner (2001) for directional transience of random walks in i.i.d. random environments (RWRE) on the square lattice. Also, w...
Explicit Bounds for the Approximation Error in Benford's Law
Approximation Error Benford's Law
2009/3/19
Benford’s law states that for many random variables X > 0 its leading digit D = D(X) satisfies approximately the equation ℙ(D = d) = log 10(1 + 1∕d) for d = 1,2,…,9. This phenomenon follows from...