Equidistributed Sequence - Sequences Equidistributed With Respect To An Arbitrary Measure

Sequences Equidistributed With Respect To An Arbitrary Measure

For an arbitrary probability measure space, a sequence of points is said to be equidistributed with respect to if the mean of point measures converges weakly to :

It is true, for example. that for any probabilistic borel measure on a separable, metrizable space, there exists an equidistributed sequence (with respect to the measure).

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