On uniform distribution of polynomials and good universality

Nair, Radhakrishnan and Nasr, Entesar
(2020) On uniform distribution of polynomials and good universality. Ergodic Theory and Dynamical Systems, 40 (4). pp. 992-1007.

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Suppose (k(n))(n >= 1) is Hartman uniformly distributed and good universal. Also suppose psi is a polynomial with at least one coefficient other than psi(0) an irrational number. We adapt an argument due to Furstenberg to prove that the sequence (psi(k(n)))(n >= 1) is uniformly distributed modulo one. This is used to give some new families of Poincar ' e recurrent sequences. In addition we show these sequences are also intersective and Glasner.

Item Type: Article
Depositing User: Symplectic Admin
Date Deposited: 07 Aug 2018 06:11
Last Modified: 19 Jan 2023 01:29
DOI: 10.1017/etds.2018.53
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3024657