Idempotent Measure
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, an idempotent measure on a metric group is a probability measure that equals its convolution with itself; in other words, an idempotent measure is an idempotent element in the topological semigroup of probability measures on the given metric group.With respect to the topology of weak convergence of measures, the operation of convolution makes the space of probability measures on X into a topological semigroup. Thus, is said to be an idempotent measure if = .…mehr

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, an idempotent measure on a metric group is a probability measure that equals its convolution with itself; in other words, an idempotent measure is an idempotent element in the topological semigroup of probability measures on the given metric group.With respect to the topology of weak convergence of measures, the operation of convolution makes the space of probability measures on X into a topological semigroup. Thus, is said to be an idempotent measure if = .