Open Access

Pair Correlations and Random Walks on the Integers


Cite

[KN] KUIPERS, L.—NIEDERREITER, H.: Uniform Distribution of Sequences. Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1974.Search in Google Scholar

[NP] NAIR, R.—POLLICOTT, M.: On pair correlations of sequences in higher dimensions, Israel J. Math. 157 (2007), no. 1, 219–238.Search in Google Scholar

[Sp] SPITZER, F. L.: Principles of Random Walks. Second ed. Graduate Texts in Mathematics, Vol. 34. Springer-Verlag, New York-Heidelberg, 1976.Search in Google Scholar

[St] STONE, C. T.: On local and ratio limit theorems, in: Proc. of the Fifth Berkeley Symp. on Math. Statist. and Probab. Vol. 2 : Contributions to Probability Theory, Part 2, (L. M. Le Cam and J. Neyman, Eds.), University of California Press, Berkeley, California, 1967, pp. 217–224Search in Google Scholar

[W1] WEBER, M.: Discrepancy of randomly sampled sequences of reals, Math. Nachr. 271 (2004), 105–110.10.1002/mana.200310184Search in Google Scholar

[W2] WEBER, M.: Dynamical Systems and Processes. IRMA Lectures in Mathematics and Theor. Physics Vol 14, European Mathematical Society (EMS), Zürich, 2009.Search in Google Scholar

eISSN:
2309-5377
Language:
English