Article
Pair Correlations and Random Walks on the Integers
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Abstract
The paper gives conditions for a sequence of fractional parts of real numbers \( (\{a_n x\})_{n=1}^{\infty} \) to satisfy a pair correlation estimate. Here \( x \) is a fixed non-zero real number and \( (a_n)_{n=1}^{\infty} \) is a random walk on the integers.
Keywords
pair correlation, random walks.
Citation
Nair, R. & Nasr, E. (2016). Pair correlations and random walks on the integers. Uniform Distribution Theory, 11(1), 159–164. https://doi.org/10.1515/udt-2016-0008
R. Nair and E. Nasr, “Pair correlations and random walks on the integers,” Uniform Distribution Theory, vol. 11, no. 1, pp. 159–164, 2016, doi: 10.1515/udt-2016-0008.
Nair R, Nasr E. Pair correlations and random walks on the integers. Uniform Distribution Theory. 2016;11(1):159–164. doi:10.1515/udt-2016-0008.
Nair, R. and Nasr, E. (2016), ‘Pair correlations and random walks on the integers’, Uniform Distribution Theory, 11(1), pp. 159–164. Available at: https://doi.org/10.1515/udt-2016-0008.
Nair, Radhakrishnan, and Entesar Nasr. “Pair Correlations and Random Walks on the Integers.” Uniform Distribution Theory, vol. 11, no. 1, 2016, pp. 159–164. https://doi.org/10.1515/udt-2016-0008.
Nair, Radhakrishnan, and Entesar Nasr. “Pair Correlations and Random Walks on the Integers.” Uniform Distribution Theory 11, no. 1 (2016): 159–164. https://doi.org/10.1515/udt-2016-0008.
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Published by: Engineering Journals
