Nair, Radhakrishnan and Nasr, Entesar
(2020)
On uniform distribution of polynomials and good universality.
Ergodic Theory and Dynamical Systems, 40 (4).
pp. 992-1007.
Text
FurstensbergsProofofWeylsTheoremB.pdf - Author Accepted Manuscript Download (430kB) |
Abstract
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 |
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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 |