For two-dimensional Zeckendorf lattice decompositions, the probability that a gap vector equals (v1, v2) converges to 1/2^(v1+v2), a bivariate geometric distribution.
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Gaps of Summands of the Zeckendorf Lattice
For two-dimensional Zeckendorf lattice decompositions, the probability that a gap vector equals (v1, v2) converges to 1/2^(v1+v2), a bivariate geometric distribution.