Random Walk

Let us recapitulate our findings so far. From the random numbers we obtained a configuration, here a random walk. This configuration was generated independently from previous configurations to make a sample of configurations. We call this a sample generated by the simple sampling method.

At this point it is clear why we need uncorrelated random numbers. We need the absents from correlation to generate a true random walk. Every correlation in the random numbers must appear as a bias in the walks. This bias carries over to the observables computed form a simulation.

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