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A decomposition of multicorrelation sequences for commuting transformations along primes
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Anh , N., Moreira, Joel and Richter, Florian (2021) A decomposition of multicorrelation sequences for commuting transformations along primes. Discrete Analysis, 4 . doi:10.19086/da.22056
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Official URL: http://dx.doi.org/10.19086/da.22056
Abstract
We study multicorrelation sequences arising from systems with commuting transformations. Our main result is a refinement of a decomposition result of Frantzikinakis and it states that any multicorrelation sequences for commuting transformations can be decomposed, for every ϵ>0, as the sum of a nilsequence ϕ(n) and a sequence ω(n) satisfying limN→∞1N∑Nn=1|ω(n)|<ϵ and limN→∞1|P∩[N]|∑p∈P∩[N]|ω(p)|<ϵ.
| Item Type: | Journal Item | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Discrete Analysis | ||||
| Publisher: | Diamond Open Access Journals | ||||
| ISSN: | 2397-3129 | ||||
| Official Date: | 7 June 2021 | ||||
| Dates: |
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| Volume: | 4 | ||||
| Number of Pages: | 27 | ||||
| DOI: | 10.19086/da.22056 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||
| Description: | Editorial |
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| Date of first compliant deposit: | 19 July 2022 | ||||
| Date of first compliant Open Access: | 19 July 2022 | ||||
| Open Access Version: |
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