Explain useful properties of low-discrepancy sequence theory

Question

Explain useful properties of low-discrepancy sequence theory or quasi random number theory.

Answer 1

The subject relates the distribution of points in an arbitrary no. of dimensions in order to cover this space as efficiently as possible, along with as little points as possible, as demonstrated in figure. The methodology is used in the evaluation of multiple integrals between other things. Such ideas would find a use in finance approximately three decades later.

Figure 1.1: They may not look like this, but all dots are distributed deterministically in order to have very useful properties.