Quasi-random points keep their distance
Copyright policy )Quasi-random points keep their distance
For a given net, composed of \(N\) quasi-random points \(Q_{0}, Q_{1}, \dots , Q_{N-1}\) in the \(n\)-dimensional hypercube \(I^{n}\), the measure \(d_{N} = \min_{0 \leq i 2\) points in \(I^{n}\), the minimum distance satisfies the inequality \(d_{N} \leq A(n) \cdot N^{-{1 \over n}},\) with a constant \(A(n),\) depending on the dimension \(n.\)
- Russian Academy of Sciences Russian Federation
quasi-random points, Pseudo-random numbers; Monte Carlo methods, Monte Carlo methods, Faure sequences, quasi-Monte Carlo method, rectangular lattice, Well-distributed sequences and other variations, minimum distance, Sobol sequences, Special sequences, Halton sequences
quasi-random points, Pseudo-random numbers; Monte Carlo methods, Monte Carlo methods, Faure sequences, quasi-Monte Carlo method, rectangular lattice, Well-distributed sequences and other variations, minimum distance, Sobol sequences, Special sequences, Halton sequences
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