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Measure-Preserving Systems

Measure-Preserving Systems
by Karl Petersen

Publisher: University of North Carolina 2008
Number of pages: 65

These notes provide an introduction to the subject of measure-preserving dynamical systems, discussing the dynamical viewpoint; how and from where measure-preserving systems arise; the construction of measures and invariant measures; some basic constructions within the class of measure-preserving systems; and some mathematical background on conditional expectations, Lebesgue spaces, and disintegrations of measures.

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