Optimal prediction and the Klein-Gordon equation.

Hald, O H · Proc Natl Acad Sci U S A · 1999

basic_science · Level V

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Abstract

The method of optimal prediction is applied to calculate the future means of solutions to the Klein-Gordon equation. It is shown that, in an appropriate probability space, the difference between the average of all solutions that satisfy certain constraints at time t = 0 and the average computed by an approximate method is small with high probability.