Abstract
In this chapter we discuss properties of a transformation T that are equivalent to the transformation being recurrent. We show that strengthened versions of these properties, together with a few more properties of T, are necessary and sufficient conditions for the existence of a finite invariant measure μ for T.
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Eigen, S., Hajian, A., Ito, Y., Prasad, V. (2014). Existence of Finite Invariant Measure. In: Weakly Wandering Sequences in Ergodic Theory. Springer Monographs in Mathematics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55108-9_1
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DOI: https://doi.org/10.1007/978-4-431-55108-9_1
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Online ISBN: 978-4-431-55108-9
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