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# Spreading maps ( polymorphisms ) , symmetries of Poisson processes , and matching summation

@inproceedings{Neretin2001SpreadingM, title={Spreading maps ( polymorphisms ) , symmetries of Poisson processes , and matching summation}, author={Yurii A. Neretin}, year={2001} }

- Published 2001

The matrix of a permutation is a partial case of Markov transition matrices. In the same way, a measure preserving bijection of a space (A, α) with finite measure is a partial case of Markov transition operators. A Markov transition operator also can be considered as a map (polymorphism) (A, α) → (A, α), which spreads points of (A, α) into measures on (A, α). Denote by R * the multiplicative group of positive real numbers and by M the semigroup of measures on R *. In this paper, we discuss R… CONTINUE READING