Abstract
The angular ratio is an important characteristic of probability measures on \(\mathbb{Z}\) in the theory of ergodic dynamical systems. Answering the J. Rosenblatt question, we describe probability measures whose spectrum is not inside some Stolz region at 1, i.e., which have unbounded angular ratio.
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2010 Mathematics Subject Classification. Primary 37-XX, 60E10; secondary 60A10.
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Research supported by SFB 701.
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Dedicated to Friedrich Götze on the occasion of his sixtieth birthday
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Chistyakov, G.P. (2013). On Probability Measures with Unbounded Angular Ratio. In: Eichelsbacher, P., Elsner, G., Kösters, H., Löwe, M., Merkl, F., Rolles, S. (eds) Limit Theorems in Probability, Statistics and Number Theory. Springer Proceedings in Mathematics & Statistics, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36068-8_5
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DOI: https://doi.org/10.1007/978-3-642-36068-8_5
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