Abstract
Abstract ergodic theory deals with the measurable actions of groups and semigroups of transformations. This means, from the point of view of applications, that the functions defining such transformations need not satisfy any smoothness conditions and should be only measurable.
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© 1989 Springer-Verlag Berlin Heidelberg
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Cornfeld, I.P., Sinai, Y.G. (1989). Basic Notions of Ergodic Theory and Examples of Dynamical Systems. In: Sinai, Y.G. (eds) Dynamical Systems II. Encyclopaedia of Mathematical Sciences, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06788-8_1
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DOI: https://doi.org/10.1007/978-3-662-06788-8_1
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